In the triangle ABC , AB=17cm,BC=9cm and angle ACB=90°
Calculate AC

Answers

Answer 1

I believe the answer is 14.42

Answer 2

The length of AC is 14.42 in the triangle ΔABC where AB=17cm, BC=9cm and angle ∠ACB=90°. This can be obtained by using Pythagoras' theorem.

What is Pythagoras' theorem?Pythagoras' theorem states that the sum of squares of the legs of a right triangle is equal to the square of the hypotenuse, that is,⇒ a² + b² = c²

Calculate the side AC of ΔABC:

Given that, AB=17cm, BC=9cm and angle ∠ACB=90°.

By using Pythagoras' theorem,

AB² = AC²+BC²

17² = AC²+9²

AC² = 17²-9² =289-81 = 208

AC = √208 =14.42

⇒AC = 14.42cm

Hence the length of AC is 14.42 in the triangle ΔABC where AB=17cm, BC=9cm and angle ∠ACB=90°.

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Related Questions

Please this is urgent !

Answers

Answer:

the probability is very high 86% > 14%

Step-by-step explanation:

55+20+11= 86%/100% 100-86=14% chance there will not be any rain or lightning

hope this helps!!

A game has 15 balls for each of the letters B, I, N, G, and O. The table shows the results of drawing balls 1,250 times.

Letter Frequency
B 247
I . 272
N 238
G 241
O 252

For which letter is the experimental probability closest to the theoretical probability?
A. I
B. N
C. G
D. O

Answers

Theoretically, each letter should have the same probability of occurring since there are 15 of each. There are 5 letters that can be drawn, so there is a total of 75 balls, and each letter has a probability [tex]\dfrac{15}{75}=\dfrac15[/tex] of being drawn.

This means one would expect a theoretical frequency of [tex]\dfrac{1250}5=250[/tex], i.e. any given letter should get drawn 250 times, which means the answer is D.

Answer:

252 D-O

Step-by-step explanation:

250 and theoretically 252

Lonnie divides a pipe into 10 inch sections. Each section represents 1/8 of the pipe’s length. What is the original length of the pipe?

Answers

Answer:

80 inches

Step-by-step explanation:

8*10=80

Answer:

80 in.

Step-by-step explanation:

So we know that 1/8 is 10 in.

So to get 8/8 (Original length), we need to multiply 10 by 8, because 8 is the denominator.

10 in * 8 = 80 in.

Hope I beat Jarid lol

Equation of line in slope intercept form

Answer ASAP

Answers

Answer:

[tex]\large\boxed{y=0.470793x+2.13908}[/tex]

Step-by-step explanation:

The slope intercept form:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

From your picture we have:

[tex]m=0.470793[/tex]

and

[tex]b=2.13908[/tex]

Substitute:

[tex]y=0.470793x+2.13908[/tex]

What does that sign mean? What’s the name?

Answers

Pie. It’s pie 3.14.... the name of that sign is pie

Answer:

That symbol represents pi.

Step-by-step explanation:

Pi is used by mathematicians to represent the ratio of a circle's circumference to its diameter.  It is approximately equal to 3.14159. Hope this helps!

5. At the party there were 380 places to sit, including the
benches in the park and the chairs people brought to the
party. Of those seats, 0.45 of them were used by women
and girls. How many seats were used by men and boys? Is
that fraction of the total number of seats less than or greater
than ? Draw or use a visual fraction model if needed to solve.

Answers

209 seats were used by men and boys. i took 45% of 380 which = 171. I subtracted that by 380 which = 209.

Answer with Step-by-step explanation:

0.45 of the total seats were used by women and girls.

i.e. Remaining 0.55(1-0.45) of the total seats were used by men and boys.

Seats used by men and boys=55% of 380

                                               [tex]= \dfrac{55}{100}\times 380\\\\ =209[/tex]

Hence, Seats used by men and boys is:

209

and the fraction of total number of seats used by men and boys(0.55) is greater than that of total seats used by women and girls(0.45).

A prism is filled with 30 cubes with 1/2 unit side lengths. What is the volume of the prism in cubic units?

Answers

The correct anwser would be 56

The volume of the prism filled with 30 cubes with side lengths of 1/2 unit is 3.75 cubic units.

To calculate the volume of a cube with a side length of 1/2 unit, we use the formula V = s³, where s is the side length of the cube.

For a side length of 1/2 unit, the volume of one cube is V = (1/2)³ cubic units.

Therefore, the volume of one such cube is 1/8 cubic units. If the prism is filled with 30 such cubes, we multiply the volume of one cube by the number of cubes:

Total Volume = Number of Cubes × Volume of One Cube = 30 × 1/8 cubic units = 30/8, which simplifies to 3.75 cubic units.

Use Julia’s work and finish finding the areas of the faces what is the surface area of the rectangular pyramid

Answers

Answer:

The surface area of the rectangular pyramid is [tex]SA=109.50\ m^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of the rectangular prism is equal to the area of the rectangular base plus the area of the four triangular faces

so

[tex]SA=(8)(5)+2[14.75]+2[\frac{1}{2}(8)(5)][/tex]

[tex]SA=40+29.50+40[/tex]

[tex]SA=109.50\ m^{2}[/tex]

Answer:

109.5

Step-by-step explanation:

-2a(a+b-5)+3(-5a+2b)+b(6a+b-8) the coefficient of the a^2 term is

Answers

Answer:

-2

Step-by-step explanation:

the coefficient is the number in front of the variable.

HElp i need help and explanations plz

Answers

Answer:

[tex] \frac{1}{2} \times 21.6 \times 5.9 = 63.72[/tex]

The area of this triangle is 63.72 square feet.

which statment is true
all parallelograms are quadrilaterals
all quadrilaterals are parallelograms
parallelograms are rectangles
all rectangles are squares

Lesson 6: Quadrilaterals Posttest
Secondary Math 2 B Unit 4: Quadrilaterals please list the answers for the test

Answers

Answer:

all rectangles are square

Step-by-step explanation:

What is the area the of the figure below? A) 26 B) 27 C) 52 D) 54

Answers

Answer: B=27

Step-by-step explanation:

10.8 x 5=54/2= 27

Answer:

26in.^2 the first choice

Step-by-step explanation:

Just did the QC

Solve for x x^2-2x-24= 0

Answers

Step-by-step explanation:

I think the answer is x=-4,x=+6

The values of the x are +6 and -4. The values of the x are obtained by the factorization method.

What exactly is a polynomial?

They are mathematical formulas containing variables raised by non-negative integers, coefficient, and constants involving only addition, subtraction, multiplication, and non-negative exponentiation of variables.

The given expression is;

x²-2x-24= 0

By factorization;

x²-6x+4x-24=0

After taking common terms, we get ;

x²-6x+4x-24=0

x(x-6)+4(x-6)=0

(x+4)(x-6)=0

The value of the x is found as;

x-4=0

x=-4

x-6=0

x=+6

Hence, the values of the x are +6 and -4.

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Please help I’m lost

Answers

Answer:

5. 24°

6. 30°

7. 49°

Step-by-step explanation:

5. You are given right triangle with known opposite leg and hypotenuse. By the sine definition,

[tex]\sin \theta=\dfrac{\text{opposite leg}}{\text{hypotenuse}}=\dfrac{11}{27}\\ \\\theta=\sin^{-1}\left(\dfrac{11}{27}\right)\approx 24^{\circ}[/tex]

6. You are given right triangle with known opposite leg and hypotenuse. By the sine definition,

[tex]\sin \theta=\dfrac{\text{opposite leg}}{\text{hypotenuse}}=\dfrac{12}{24}=\dfrac{1}{2}\\ \\\theta=\sin^{-1}\left(\dfrac{1}{2}\right)\approx 30^{\circ}[/tex]

7. You are given right triangle with known adjacent leg and hypotenuse. By the cosine definition,

[tex]\cos \theta=\dfrac{\text{adjacent leg}}{\text{hypotenuse}}=\dfrac{13}{20}\\ \\\theta=\cos^{-1}\left(\dfrac{13}{20}\right)\approx 49^{\circ}[/tex]

Which is a simplified form of the expression -2(x – 9) – x?

A. -3x + 18
B. 3x – 18
C. x – 9
D. x + 18

Answers

multiply the bracket by 2

-2x+18-x

Negative and Negative= positive

=-3x+18

Answer:A

Answer:

The answer is A

Step-by-step explanation:

Line AB contains points A (0, 1) and B (1, 5). The slope of line AB is

−4
negative 1 over 4
1 over 4
4

Answers

solution here,

slope(m)=(y2-y1)/(x2-x1)

=(5-1)/(1-0)

=4/1 =4

Answer:

The correct answer is D) 4

Step-by-step explanation:

I took the test and this was correct!

Plz help me with this

Answers

Answer: Equivalent

Step-by-step explanation:

[tex]y=-\dfrac{1}{3}x+\dfrac{2}{3}\\\\\text{Multiply by 3 to clear the denominator: }3y = -x + 2\\\text{Add x to both sides: }x+3y=2\\\text{Multiply both sides by 2: }2x+6y=4[/tex]

When given a system of equations, the definitions of the solution are:

Consistent & Independent: exactly ONE solution (lines intersect)Consistent & Dependent: INFINITE solutions (same line)Inconsistent: NO solutions (parallel lines)

In the given system, the equations are the same which means they have INFINITE solutions --> The system is Consistent & Dependent = Equivalent.

I'm having trouble figuring out how to find the right symbol for this problem √9=6 ? 3​

Answers

Answer:

It's a - (minus) sign.

Step-by-step explanation:

This is because √9 is 3, and therefore 6-3=3.

Hope I helped :)

The population of a heard of cattle numbered was 5000 to begin with and was 10,000 after 10 years. If the population was growing exponentially, what was the growth rate? show all work
A) r=2
B) r=20
C)r=0.69
D)r=6.9




Answers

Answer:

[tex]r=0.0718[/tex]. The closest value from your given choices is C)r=0.69

Step-by-step explanation:

To solve this we are using the standard exponential growth equation:

[tex]f(t)=A(1+r)^t[/tex]

where

[tex]f(t)[/tex] is the final population after [tex]t[/tex] years

[tex]A[/tex] is the initial population

[tex]r[/tex] is the growth rate in decimal form

[tex]t[/tex] is the time in years

We know from our problem that the initial population is 5000, the final population is 10000, and the time is 10 years, so [tex]A=5000[/tex], [tex]f(t)=10000[/tex], and [tex]t=10[/tex].

Let's replace the values and solve for [tex]r[/tex]:

[tex]f(t)=A(1+r)^t[/tex]

[tex]10000=5000(1+r)^{10}[/tex]

Divide both sides by 5000

[tex]\frac{10000}{5000} =(1+r)^{10}[/tex]

[tex]2=(1+r)^{10}[/tex]

Take root of 10 to both sides

[tex]\sqrt[10]{2} =\sqrt[10]{(1+r)^{10}}[/tex]

[tex]\sqrt[10]{2} =1+r[/tex]

Subtract 1 from both sides

[tex]\sqrt[10]{2}-1=r[/tex]

[tex]r=\sqrt[10]{2}-1[/tex]

[tex]r=1.0718-1[/tex]

[tex]r=0.0718[/tex]

We can conclude that the growth rate of our exponential equation is [tex]r=0.0718[/tex]. The closest value from your given choices is C)r=0.69

Jerry made 4 pitchers of grape juice and 6 pitchers of orange juice. Each pitcher contains 64 oz of juice. Which explanation correctly tells how to calculate the number of ounces of juice Jerry made in all? A. Step 1 Multiply 64 × 4. Step 2 Multiply 64 × 6. Step 3 Subtract the products. B. Step 1 Add 4 + 6. Step 2 Multiply that sum by 64. C. Step 1 Divide 64 ÷ 4. Step 2 Multiply 64 × 6. Step 3 Add the quotient and product. D. Step 1 Subtract 6 – 4. Step 2 Multiply that difference by 64.

Answers

Answer:

B

Step-by-step explanation:

Given

pitchers of grape juice=g=4

picthers of orange juice=o=6

Each pitcher contains 64 oz of juice

So in order to calculate, we will calculate the total number of pitchers and then multiply it by 64 to get total oz.

=(6+4)*64

=10*64

=640 oz

We can see that we added count of pitchers and then multiplied the sum by 64.

So option B is the correct answer ..  

I think either A or D makes more sense

Find the perimeter or cm

Answers

Answer:

The perimeter is 22.

Step-by-step explanation:

The perimeter formula (it sometimes varies) is 2(b+h)

b being base (in this example, 6)

h being height (in this example, 5)

So now, with substitution, we are left with:

2(6+5)

Which simplifies down to:

2(11)

22

Can someone help me please

Answers

Answer:

P=38

Step-by-step explanation:

For this, both sides added together will need to equal 180°.

So you need to set up an equation: p+28+3p=180

Now, solve for p

p+28+3p=180

    -28 .       -28

p+3p=152

combine p            (the single p counts as 1, so add it to 3p to get 4p)

4p=152

/4 .   /4

p= 38

You get p is equal to 38.

I hope this helped! If you don't mind, please mark as brainliest!! :) <3

Simplify ( √ 5)(^3 √ 5) the answer will be a wholenumber and a fraction
[tex]( \sqrt{5)( \sqrt[3]{5} } )[/tex]

Answers

Answer:

[tex]\sqrt{5}\cdot\sqrt[3]{5} =\sqrt[6]{5^3} \cdot\sqrt[6]{5^2} =\sqrt[6]{5^5} =5^{(5/6)}[/tex]

Step-by-step explanation:

The rules of exponents apply, even when they are fractional exponents:

[tex]a^b\cdot a^c=a^{b+c}\\\\\sqrt[b]{x^a}=x^{(a/b)}[/tex]

the Johnsons want to cover their backyard with new grass their backyard is rectangular with a length of 3x - 2 feet and a width of 3x + 1 ft however there rectangular swimming pool along with its surrounding patio has dimensions of x + 4 by x + 5 ft what is the area of the region of the yard that they want to cover with new grass

Answers

Hello!

The answer is:

The area that the want to cover with new grass will be:

[tex]Area_{grass}=8x^{2} -12x-22[/tex]

Why?

If we want to calculate what is the ara of the region of the backyard that they want to cover with new grass, we need to calculate the area of the backyard, calculate the area of the swimming pool and its patio, and the last step is to subtract the area of the swimming pool and its patio to the total area of the backyard.

So, to calculate the areas, we need to use the following formula:

[tex]Area=Length*Width[/tex]

Also, we need to remember how the distributive property works, since we are going to need it.

We have that:

[tex](a+b)(c+d)=ac+ad+bc+bd[/tex]

We are given the following information:

For the backyard we have:

[tex]Length=3x-2\\Width=3x+1[/tex]

For the swimming pool and its patio:

Since there it's not mentioned, let be the first expression the length, and the second one, the width.

[tex]Length=x+4\\Width=x+5[/tex]

Then, calculating we have:

Backyard:

[tex]Area_{backyard}=(3x-2)*(3x+1)=9x^{2}+3x-6x-2=9x^{2}-3x-2[/tex]

Swimming pool and patio:

[tex]Area_{swimmingpool}=(x+4)*(x+5)=x^{2}+5x+4x+20=x^{2}+9x+20[/tex]

Now, calculating the area that they want to cover with new grass, we have:

[tex]Area_{grass}=Area_{backyard}-Area_{swimmingPool}\\\\Area_{grass}=(9x^{2}-3x-2)-(x^{2}+9x+20)\\\\Area_{grass}=9x^{2} -x^{2} -3x-9x-2-20\\\\Area_{grass}=8x^{2} -12x-22[/tex]

Hence, we have that the area that the want to cover with new grass will be:

[tex]Area_{grass}=8x^{2} -12x-22[/tex]

Have a nice day!

why isit posible to calculate the volume of a skewed prism or oblique cylinder with the same formula as the euation for the volume of a right prism or cylinder?

Answers

Answer:

The volume of oblique cylinders is the same volume as a right cylinder of the same radius and height. The height of cylinder must be the perpendicular height, but as long as the radius and height are the same the volume does not change, which is why the same formula can be used for both oblique and right cylinder.

For skewed and right prism, base length and height does not change, volume for both is calculated by area times height.

What is the 25th term of this arithmetic sequence? 3, 9, 15, 21, 27, …

Answers

Answer:

147

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a + (n - 1)d

where a is the first term and d the common difference

here a = 3 and d = 9 - 3 = 15 - 9 = 6, hence

[tex]a_{25}[/tex] = 3 + (24 × 6) = 3 + 144 = 147

The weights of five dogs are 83 pounds, 94 pounds, 89 pounds, 94 pounds, and 90 pounds. What is the mean weight of the dogs?


Answers

Answer:

90

Step-by-step explanation:

add them all up and divide by how many there are

The answer is 90.

Add all the numbers then average them out by how many numbers there are.

Gerard concluded that the triangle with sides √95 feet, 8 feet, and √150 cannot be used as a building frame support on the house because it is not a right triangle. How did Gerard come to that conclusion? Explain.

Answers

Answer:

Sample Response: Gerard determined that the squares of the two smaller sides did not equal the square of the longest side. The side lengths did not create a true statement of the Pythagorean theorem.

Gerard most likely came to the conclusion that the sides of the triangle do not conform to the Pythagorean Theorem.

What is the Pythagorean Theorem?The Pythagorean Theorem states that the sum of the squares of the two smaller legs of a right triangle equals the square of the longer side.Thus, if a and b are the length of the two smaller sides of a right triangle, and c is the longest side, then: a² + b² = c².

Therefore, Gerard most likely came to the conclusion that the sides of the triangle do not conform to the Pythagorean Theorem.

Learn more about the Pythagorean Theorem on:

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9) Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. 2 and 14

10) Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression.
-10 and 8



Answers

Final answer:

The distance between two points on a number line is found using the absolute value of their difference. For instance, the distance between 2 and 14 is 12 units, and the distance between -10 and 8 is 18 units.

Explanation:

The concept of absolute value is crucial when determining the distance between two points on a number line. This distance is represented by the difference in their values, disregarding which one is larger or whether they are positive or negative.

Example 9: Finding the Distance Between 2 and 14

The expression for the distance is |2 - 14|. Evaluating this, we find |2 - 14| = |-12| = 12. Therefore, the distance between the numbers 2 and 14 on the number line is 12 units.

Example 10: Finding the Distance Between -10 and 8

The expression for the distance is |-10 - 8|. Evaluating this, we find |-10 - 8| = |-18| = 18. Therefore, the distance between the numbers -10 and 8 on the number line is 18 units.

I NEED HELP ASAP!

What's the area of this Trapezoid?

Answers

Answer:

Area of Trapezoid is 88 Units^2

Step-by-step explanation:

Area of trapezoid = (a+b)/2 * h

where a and b are lengths of each base and h is the height of trapezoid.

In the question given:

a= 17 (because a is the upper base and value will be 17)

b= 27 (because b is the lower base and value will be 17+5+5 = 27)

h= 4

Area of trapezoid = (a+b)/2 * h

                             = (17 +27)/ 2 * 4

                             = 22 * 4

                             = 88 Units^2

Area of Trapezoid is 88 Units^2

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If my island has an area of 20 hectares, what is the population density of MendAliens in terms of MendAliens per hectare? Assume there are 200 MendAliens living on an island in my back yard. If my island has an area of 20 hectares, what is the population density of MendAliens in terms of MendAliens per hectare? 10 MendAliens per hectare 200 MendAliens per hectare 4 MendAliens per hectare 0.1 MendAliens per hectare 4,000 MendAliens per hectare There are 16 gifts under the Christmas tree. If 1 4 of them are for Chloe, how many gifts will Chloe receive? gifts Qu piden ellos? (colaboracin) Ellos piden colaboracin. Qu quieren los estudiantes? (ir a esquiar) Quin no sigue bien el partido? (mi hermana y yo) Qu repite la profesora? (la explicacin) Quin dice que no hay excursin a la montaa? (nosotros) Dnde consiguen ustedes las revistas de arte? (el museo) Rewrite the sentences changing the subjects from singular to plural or vice versa. 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He tries to remove it without undressing, but the task becomes too much for him to handle. He is too embarrassed to undress in front of the woman, so when she looks away, he undresses quickly behind a rug. He manages to get rid of the mouse, but the rug curtain falls down, waking the woman up, and Theodoric quickly pulls the rug up and covers himself to the neck.] How much had she seen, Theodoric queried to himself, and in any case what on earth must she think of his present posture? "I think I have caught a chill," he ventured desperately. "Really, I'm sorry," she replied. "I was just going to ask you if you would open this window." "I fancy it's malaria," he added, his teeth chattering slightly, as much from fright as from a desire to support his theory. "I've got some brandy in my hold-all, if you'll kindly reach it down for me," said his companion. "Not for worldsI mean, I never take anything for it," he assured her earnestly. "I suppose you caught it in the Tropics?" Theodoric, whose acquaintance with the Tropics was limited to an annual present of a chest of tea from an uncle in Ceylon, felt that even the malaria was slipping from him. Would it be possible, he wondered, to disclose the real state of affairs to her in small instalments? "Are you afraid of mice?" he ventured, growing, if possible, more scarlet in the face. "Not unless they came in quantities, like those that ate up Bishop Hatto. Why do you ask?" "I had one crawling inside my clothes just now," said Theodoric in a voice that hardly seemed his own. "It was a most awkward situation." "It must have been, if you wear your clothes at all tight," she observed; "but mice have strange ideas of comfort." "I had to get rid of it while you were asleep," he continued; then, with a gulp, he added, "it was getting rid of it that brought me to- -to this." "Surely leaving off one small mouse wouldn't bring on a chill," she exclaimed, with a levity that Theodoric accounted abominable. Evidently she had detected something of his predicament, and was enjoying his confusion. All the blood in his body seemed to have mobilized in one concentrated blush, and an agony of abasement, worse than a myriad mice, crept up and down over his soul. And as the reflection began to assert itself, sheer terror took the place of humiliation. With every minute that passed the train was rushing nearer to the crowded and bustling terminus where dozens of prying eyes would be exchanged for the one paralyzing pair that watched him from the further corner of the carriage. There was one slender despairing chance, which the next few minutes must decide. His fellow-traveler might relapse into a blessed slumber. But as the minutes throbbed by, that chance ebbed away. The furtive glance which Theodoric stole at her from time to time disclosed only an unwinking wakefulness. "I think we must be getting near now," she presently observed. Theodoric had already noted with growing terror the recurring stacks of small, ugly dwellings that heralded the journey's end. The words acted as a signal. Like a hunted beast breaking cover and dashing madly towards some other haven of momentary safety he threw aside his rug, and struggled frantically into his disheveled garments. He was conscious of dull suburban stations racing past the window, of a choking, hammering sensation in his throat and heart, and of an icy silence in that corner towards which he dared not look. Then as he sank back in his seat, clothed and almost delirious, the train slowed down to a final crawl, and the woman spoke. "Would you be so kind," she asked, "as to get me a porter to put me into a cab? Its a shame to trouble you when youre feeling unwell, but being blind makes one so helpless at a railway station."How does the author create tension in this story?A. by creating a claustrophobic setting that offers no escapeB. by presenting a protagonist who is enigmatic and confusedC. through the dialogues and interactions of the charactersD. through the internal monologues of the protagonist Cone A has a radius of 12 inches and Cone B has a radius of 30 inches. If the cones are similar and the volume of Cone A is 48 ft^2, find the volume of Cone B. which of the following refers to giving advance warning to an employee about possible disciplinary actions? A) Termination B) Disciplinary actions without punishment C) Hot stove rules D) Progressive disciplinary actions why do the more complex sugar disaccharides store more energy than monosaccharides Steam Workshop Downloader