Answers
First make a triangle by connecting the center point of the circle to one of the end points of the chord.
This will make a right triangle. The new formed line is the radius of the circle and will be the hypotenuse of the right triangle too.
Since one of the legs of the right triangle is half the chord, divide the chord in to two.
9.6 / 2 = 4.8
Now we can calculate for the hypotenuse.
Pythagorean theorem states that a²+b² = c²
So
√2.4² + 4.8² = c
√5.76 + 23.04 = c
√28.8 = c
5.4 = c
C is the hypotenuse and the hypotenuse is known as the radius of the circle.
So the radius is 5.4
The value of x can be any number between 1.5 to 4.5. Some translations imply that 'x' is being used in scientific notation or being adjusted by standard deviations in statistical calculations. Furthermore, finding 'x' in equations could result in more than one solution.
Explanation:The question is about finding the value of x, which is a mathematical variable. Without a proper equation or context, it is not possible to determine the specific value of x. However, some details were given, stating '1.5 ≤ x ≤ 4.5', meaning that the value of x can be any number between 1.5 and 4.5. Additionally, the concept of scientific notation or exponential notation appears in the data provided ('x x 10¹'). This can help express very large or small numbers in a simplified form. For instance, if 'x' is 8.4 and '10¹' indicates we have 14 placeholder zeros, the actual measurement value would be 8.4 followed by 14 digits (840,000,000,000,000).
Furthermore, the question has hints of statistics, shown when 'x' is increased and decreased by standard deviations, which are instructions to calculate different characteristic values from certain distributions (e.g., '(x + 1s)').
Remember that solving equations may result in more than one solution, pointing out the characteristic of quadratic equations that give two solutions. And finally, dividing and multiplying by powers of 10 simply means shifting decimal points right or left respectively, according to the number of zeros in the power of ten.
Learn more about Solving for 'x' here:https://brainly.com/question/24225997
#SPJ3
Related Questions
What does N equal help me please
Answers
for (A^x)^y = A^xy
Thus for (3^-5)^-2 = 3^n
n = -5×-2 =10
Answer:
n=10
Step-by-step explanation:
We know that a^b^c = a^(b*c)
3 ^-5^-2 = 3^(-5*-2)
= 3^(10)
3^n = 3^10
n = 10
Whats the answer i need help assap
Answers
105 Degree
Because the angle x
Is the same angle of 105 in X to Y
Answer:
C
Step-by-step explanation:
Since DE and XY are parallel lines then
x and 105 are corresponding angles and congruent, hence
x = 105 → C
daily high temperatures recorded in certain areas 65 degrees Fahrenheit 66 degrees Fahrenheit 70 degrees Fahrenheit is 58° Fahrenheit and 61 degrees Fahrenheit what is the mean absolute deviation for the data
Answers
Answer:
3.64
Step-by-step explanation:
65 + 66 + 70 + 58 + 61 = 319
319/5 = 63.8
65 - 63.8 = |1.2|
66 - 63.8 = |2.2|
70 - 63.8 = |6.2|
58 - 63.8 = |-5.8| = 5.8
61 - 63.8 = |-2.8| = 2.8
1.2 + 2.2 + 6.2 + 5.8 + 2.8 = 18.2
18.2/5 = 3.64
PLZ HELP 10 POINTSSSSSSSSSSSSSSSSSSSSS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
b
Step-by-step explanation:
to find volume you have to multiply 12, 6 and 8.5
if it is right rate and thanks me so others know it is right
Answer:
[tex]v = \frac{i \: \times w \ \times h}{3} \\ \: \: \: \: = \frac{8.5 \times 6 \times 12}{3} \\ \: \: \: \: = 204 {in}^{3} [/tex]
Answer D is correct.
2.
(07.04A)
Which of the tables represents a function? (4 points)
Table A Input Output
4 3
3 2
2 1
Table B Input Output
1 3
3 5
3 7
Table C Input Output
0 0
1 4
1 5
Table D Input Output
4 1
4 2
4 3
Table A
Table B
Table C
Table D
Answers
Answer: The table that represents a function is table A
Step-by-step explanation: This is because every time the input goes down once with a change of output, where as a nonlinear function doesn't do this
Find the volume please help
Answers
Answer:
204
Step-by-step explanation:
To find the volume of a rectanguar prism, you must multiply legnth x width x height to get the volume.
Before we multiply, first lets convert the fractions into improper fractions to make multiplying a little easier.
6 3/8 = 51/8
10 2/3 = 32/3
Now, we multiply.
[To multiply fractions, multiply the numerators and denominators.]
51/8 x 32/3
51 x 32 = 1632
8 x 3 = 24
1632/24 = 68
Now that we've multiplyed the length and height, multiply 68 by the width, 3.
68 x 3 = 204
Therefore, the volume of the rectangular prism is 204. I hope this helps!
About 204 inches.
Hope this helps!
Find the measure of ∠DFG.
A) 24°
B) 34°
C) 58°
D) 62°
Answers
It’s C or 34+24=58 so the answer is C
It is c 58 your welcome
The graph above shows the cost of hay. Jethro bought 9 bales of hay. Based on the graph, what is the total cost that he paid for the hay?
A.
$22.50
B.
$31.50
C.
$36.00
D.
$27.00
Answers
Answer:
b
Step-by-step explanation:
Find the surface area and volume of cone. A = rs + r2 V = 1/3r2 h A cone's slant height (s) is 14 cm and its radius is 4.5 cm. Surface area (to the nearest tenth) = cm2 Volume (to the nearest tenth) = cm3
Answers
Answer:
Surface area = [tex]261.6cm^2[/tex]
Volume = [tex]281.2cm^3[/tex]
Step-by-step explanation:
To find the surface area of our cone, we are using the formula for the surface area of a cone:
[tex]A=\pir(r+\sqrt{h^2+r^2} )[/tex]
where
[tex]A[/tex] is the surface area
[tex]r[/tex] is the radius
[tex]h[/tex] is the height
Notice that the height, radius, and slant height make a right triangle, so to find the height, [tex]h[/tex], we can use the Pythagorean theorem:
[tex]s^2=r^2+h^2[/tex]
[tex]14^2=4.5^2+h^2[/tex]
[tex]196=20.25+h^2[/tex]
[tex]h^2=196-20.25[/tex]
[tex]h^2=175.75[/tex]
[tex]h=\sqrt{175.75}[/tex]
[tex]h=13.26[/tex] cm
We have all we need now to find the surface area of our cone:
[tex]A=\pir(r+\sqrt{h^2+r^2} )[/tex]
[tex]A=\pi(4.5)(4.5+\sqrt{13.26^2+4.5^2} )[/tex]
[tex]A=261.6cm^2[/tex]
Now, to find the volume of our cone, we are using the formula for the volume of a cone:
[tex]V=\frac{\pi r^2h}{3}[/tex]
where
[tex]V[/tex] is the volume
[tex]r[/tex] is the radius
[tex]h[/tex] is the height
Replacing values
[tex]V=\frac{\pi (4.5^2)(13.26)}{3}[/tex]
[tex]V=281.2cm^3[/tex]
We can conclude that the surface area of our cone is 261.6 square centimeters and its volume is 281.2 cubic centimeters.
Answer:
Surface area [tex]= 261.405 cm^2\\[/tex]
Volume of the cone [tex]= 177.19 cm^3\\[/tex]
Step-by-step explanation:
Slant height of cone [tex]= (r + \sqrt{r^2 + h^2}) \\[/tex]
Height of the cone will be derived from this slant height
[tex]14 = 4.5 + \sqrt{4.5^2 + h^2} \\9.5 = \sqrt{4.5^2 + h^2}\\90.25 = 20.25 + h^2\\h = 8.36\\[/tex]
Surface Area of Cone
[tex]= \pi r (r + l)\\= (3.14) (4.5) (4.5 + 14)\\= 261.405[/tex]
Volume of the cone
[tex]= \frac{1}{3} \pi r^2h\\= \frac{1}{3} (3.14)(4.5^2) (8.36)\\= 177.19 cm^3\\[/tex]
Plz help me with this
Answer options: Quadratic, exponential, cubic and linear
Answers
f(x) is linear
g(x) is exponential
Answer: linear, exponential
Step-by-step explanation:
f(x) the blue line has a constant slope so is a line (linear).
g(x) the red line has an asymptote at x = 0 and has an exponential rate/slope so is exponential.
16 is 80% of what number
Answers
Answer:
20
Step-by-step explanation:
This reads mathematically exactly how it is stated in words. The word "is" means =, the word "of" means multiply, and "what number" is x. Therefore, the equation from that looks like this: 16 = .80x. Don't forget that you cannot use a percent in an equation without first changing it to its decimal equivalency. Solve that for x by dividing both sides by .80 to get that x = 20
The number that when 80 % is found of it, would give the result of 16 is the number 20.
What is 80 % of 20 ?To determine the number that 16 is 80% of, you can set up an equation using algebra.
Let's represent the unknown number with the variable "x." The equation can be written as:
16 = 80% of x
To solve for "x," we need to isolate it on one side of the equation.
Since 80% is equivalent to 0.8 as a decimal, we can rewrite the equation as:
16 = 0.8x
To solve for "x," divide both sides of the equation by 0.8:
16 / 0.8 = 0.8x / 0.8
Simplifying the equation:
20 = x
Therefore, the number that 16 is 80% of is 20.
Find out more on percentages at https://brainly.com/question/843074.
#SPJ6
Use the diagram to identify the special angle pairs.
ADC and BDC are .
A pair of complementary angles is angles .
Answers
Answer:
∠ADC and ∠BDC are supplementary
A pair of complementary angles is angles ACD and DCB.
<ADC and <BDC are supplementary angles
<ACD and <BCD are complementary angles)
What are complementary and supplementary angles?Complementary Angles: Two angles that add up to 90 degrees, complementing each other to form a right angle, e.g., 30 and 60 degrees.
Supplementary Angles: Two angles that add up to 180 degrees, forming a straight line, e.g., 120 and 60 degrees.
From the figure
ED is a ray that bisects AB and <ACB
<ACB is 90⁰(given)
<ADC + <BDC = 180( linear angles)
Linear angles are supplementary
Therefore
<ADC and <BDC are supplementary angles
Since <ACB = 90⁰
ED is a bisector
Therefore
<ACD + <BCD = 90⁰
<ACD and <BCD are complementary angles)
learn more about bisector here
https://brainly.com/question/30716032
#SPJ3
If f(x) = x+7 and g(x)=1/x what is (f o g)(x)?
Answers
For this case we have the following functions:
[tex]f (x) = x + 7\\g (x) = \frac {1} {x}[/tex]
We must find [tex](f_ {0} g) (x):[/tex]
By definition:
[tex](f_ {0} g) (x) = f (g (x))[/tex]
So, evaluating g(x) in f(x) we have:
[tex](f_ {0} g) (x) = f (g (x)) = \frac {1} {x} +7[/tex]
ANswer:
[tex]\frac {1} {x} +7[/tex]
Option D
What is the expression and answer
Answers
Answer:
Step-by-step explanation:
L is 2* W so L=2W
perimeter= 2w+2l
plug in whats given to get
perimeter=2w+4w 4w is because L is *2 of W so that makes L=2w
36=6w
36/6=6
6w/6=w
w=6
6*2=12=L
now we have 6*12=72=Area
find the area of the composite figure... please help
Answers
Answer:
27.5 square yards
Step-by-step explanation:
So, we have two shapes connected together and we want to know the combined area of the two. All we have to do is find out the area of each one, then add the results.
First, the rectangle:
The area of a rectangle is the base multiplied by the height, so
A = 6 x 4 = 24 square yards
Then, the half-circle.
We know the area of a circle is calculated with A = π * r², so the area of a half circle will be A = (π * r²)/2.
We know the circle has a diameter of 3 yards because the wall next to it is also 3 yards and the whole structure is 6 yards wide, so...
A = (π (1.5)²)/2 = 2.25 π / 2 = 3.53 square yards
Overall, we have
Area of the rectangle: 24 square yards
Area of the half-circle: 3.53 square yards
Total: 27.53 square yards, rounded to the tenth: 27.5 square yards.
Answer:
27.5 yards^2
Step-by-step explanation:
We are given a figure which comprises of two shapes: a rectangle and a semicircle and we are to find the area of this composite figure.
We know that the area of these two shapes is given by the following formulas so we will put in the given values to get:
Area of rectangle = [tex]length \times width[/tex] = [tex]6 \times 4[/tex] = 24 yd^2
Area of semi-circle = [tex]\frac{\pi r^2}{2}[/tex] = [tex]\frac{3.14 \times 1.5^2}{2}[/tex] = 3.53 yd^2
Area of composite figure = [tex]24+3.53[/tex] = 27.5 yards^2
Options
A. 7
B. 9
C. 21
D. 24
Answers
Answer: The answer is 9 i am 100% sure
Step-by-step explanation:
It would be
B.9 I hope this helps
The amount of money that high school students spend on fast food each month is usually between $50 and $200. However, there are a few students who do not eat fast food at all. What measure of spread would be most appropriate to measure the amount of money that high school students spend on fast food per month?
A. Mean
B. Interquartile Range
C. Range
D. Standard Deviation
Answers
B. Interquartile Range
Number 9 please?!?!?!?!
Answers
You would get paid $1.25 per hour, you divide 50 by 40 and get 1.25. Hope this helps ʅ（◞‿◟）ʃ
the answers is 1.25
enjoy good grades!!!!!
Simplify the expression (5k^2)^3
Answers
(5k^2)^3 simplifies to 125k^6.
To simplify the expression (5k^2)^3, we can apply the exponent rule. The rule states that when raising a power to another power, we multiply the exponents together.
In this case, we have (5k^2)^3. To simplify, we raise both the base, 5, and the exponent, k^2, to the third power.
First, let's raise the base, 5, to the third power:
5^3 = 5 x 5 x 5 = 125
Next, let's raise the exponent, k^2, to the third power:
(k^2)^3 = k^(2 x 3) = k^6
Therefore, (5k^2)^3 simplifies to 125k^6.
The length of a rectangle is 2 inches more than its width. The perimeter of the rectangle is 24 inches. The equation 2x + 2(x + 2) = 24, where x is the width in inches, represents this situation. The value of x from the set {1, 3, 5, 7} that holds true for the equation is . So, the width of the rectangle is inches and its length is inches.
Answers
Answer:
Width is 5 and length is 7
Step-by-step explanation:
You can solve the equation using the distributive property and inverse operations.
2x +2(x+2)=24
2x + 2x + 4 = 24
4x + 4 = 24
4x = 20
X = 5
This means the width is 5 and the length is 7.
The width of the rectangle is 5 inches and its length is 7 inches.
Explanation:The given equation 2x + 2(x + 2) = 24 represents the situation with a rectangle's length being 2 inches more than its width and the perimeter of the rectangle being 24 inches. To find the value of x from the set {1, 3, 5, 7} that holds true for the equation, we can substitute each value into the equation and solve for x. By trying each value, we find that x = 5 holds true for the equation.
Therefore, the width of the rectangle is 5 inches and since the length is 2 inches more than the width, the length would be 7 inches.
select the equivalent expression
b^-3=
A.(-b)^3
B.3^b
C.1/b^3
Answers
[tex]c. \: \frac{1}{b^{3} } [/tex]
What is the constant of proportionality in the equation y=x/9?
Answers
Answer:
1/9
Step-by-step explanation:
Separate the fraction (1/9) from the variable x:
y = (1/9)x.
1/9 is the constant of proportionality.
The constant of proportionality in the equation y=x/9 is 1/9.
What is a constant of proportionality?A constant of proportionality is a constant that is multiplied by a variable to make two variables equal.
We can find the constant of proportionality as shown below:The equation is given as:
y=x/9
Observe the given equation. Here, we can see that x and y are variables.
This means that 1/9 is the constant of proportionality.
A constant of proportionality is a constant that is multiplied by a variable to make two variables equal.
Therefore, the constant of proportionality is found. The value of the constant of proportionality is 1/9.
Therefore, we have found the constant of proportionality in the equation y=x/9 is 1/9.
Learn more about the constant of proportionality here: https://brainly.com/question/924976
#SPJ2
Help me please on the equation
Answers
1. 10x+5=35
2. 5x+10=35
3. 35x+5=10
Help me please and thank you
Answers
Answer:
? = 5Step-by-step explanation:
Look at the picture.
ΔADC and ΔCDB are similar (AAA). Therefore corresponding sides are in proportion
[tex]\dfrac{15}{x}=\dfrac{x}{20-15}\\\\\dfrac{15}{x}=\dfrac{x}{5}[/tex]
cross multiply
[tex]x^2=(15)(5)\\\\x^2=75\to x=\sqrt{75}\\\\x=\sqrt{25\cdot5}\\\\x=\sqrt{25}\cdot\sqrt5\\\\x=5\sqrt5[/tex]
Really need help please
Answers
Answer:
A
Step-by-step explanation:
1) Count the numbers larger than 5
(6,7,8,9,10)
2) Put it over a fraction
5/10
3)Simplify
1/2
Use the net as an aid to compute the surface area of the triangular prism. A) 550m^2 B) 614m^2 C) 670m^2 D) 790m^2
Answers
Answer:
The correct answer is option D. 790 m²
Step-by-step explanation:
Formula:-
Area of triangle = bh/2
Area of rectangle = bh
where b - Base and h - Height
To find the area of prism
Area of prism = Base area + side rectangle area + side triangle area
= (16 * 11) + (2 * 11 * 17) + (2 * 16 * 15 /2)
= 176 + 374 + 240
= 790 m²
Therefore the correct answer is option D. 790 m²
The surface area of the triangular prism is 790m². ( option D)
A triangular prism is a type of prism with triangular base. The surface area of a prism is expressed as ;
SA = 2B + ph
where , B is the base area and p is the perimeter of the base.
Base area = 1/2bh
where b is the base and h is the height
= 1/2 × 16 × 15
= 8 × 15
= 120m²
Perimeter = 17 + 16 + 17 = 50m²
Surface area = 2 × 120 + 50 × 11
= 240 + 550
= 790 m²
Therefore, the surface area of the prism is 790m²
B- 7/4= -2/3 What is the B?
Answers
Answer:
13/12
Step-by-step explanation:
B - 7/4 = -2/3
B = -2/3 + 7/4
B = 13/12
HELP ASAP WILL MARK BRAINLIEST
Answers
Answer:
EF , HG , Parallel
Step-by-step explanation:
Here we are given a translated quadrilateral EFGH from Quadrilateral ABCD.
Also given that AB was parallel to DC.
Now we have to fill in the certain blanks.
Here EF is parallel to AB , As EFGH is a translated image of ABCD. And EF and AB are the corresponding sides.
Also HG is parallel to DC, EFGH is a translated image of ABCD.
Also we are given that AB is parallel to DC. Hence we have following results.
AB║DC
AB║EF
Hence CD║EF
also
CD ║HG
CD║EF
Hence we can come to conclusion that
EF║HG
Hence our answer will be
corresponding segments EF and HG are parallel to each other.
522/5=
Jana bowled 5 games for 522 points how many points did she a Etsy per game
Answers
104.4...............................:::::::
Answer:
a lot
Step-by-step explanation:
idk wat to do.....
........
Answers
Answer:
Mean : 95
Median : 85
Mode : 90
Part B : Impossible
Step-by-step explanation:
We can make an equation to find the mean using the first 5 history test scores.
[tex]85=\frac{80+75+90+75+95+n}{6} \\ \\ 85=\frac{415+n}{6} \\ \\ 510=415+n \\ \\ n=95[/tex]
So a 95 would be needed to have a mean of 85.
Next, the median.
First, we sort the first 5 history scores from least to greatest.
We get 75, 75, 80, 90, 95.
Since, 80 is the middle value, it will be used in the calculation of the median.
We can make an equation with this.
[tex]82.5=\frac{80+n}{2} \\ \\ 165=80+n \\ \\ n=85[/tex]
So a score a 85 would be needed to have a median of 82.5
Thirdly, the mode.
Since 90 is already in the set once, we can just have Maliah score another 90 to make 90 the mode (with the exception of 75 of course).
Finally, Part B.
We can use the equation we had for the first mean calculation but change 85 to 90.
[tex]90=\frac{80+75+90+75+95+n}{6} \\ \\ 90=\frac{415+n}{6} \\ \\ 540=415+n \\ \\ n=125[/tex]
So Maliah would need a score of 125 to make her mean score 90, but since the range is only from 0-100, it is impossible.