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What is the area of this triangle
Enter your answer as a decimal in the box

Answer:

  11.55

Step-by-step explanation:

SOH CAH TOA reminds you ...

  Tan = Opposite/Adjacent

The angle at lower left is the complement of 60°, so is 30°. Then the side x satisfies the equation ...

  tan(30°) = x/20

Multiplying by 20 gives ...

  20·tan(30°) = x ≈ 11.55

Answer:

[tex]x^2+y^2=25[/tex]

Step-by-step explanation:

The given circle is centered at the origin;

The radius of the circle is

[tex]r=|5-0|=5[/tex] units.

You could also count the boxes from the center to any of the given points to get the radius.

The equation of a circle centered at the origin is given by;

[tex]x^2+y^2=r^2[/tex]

We substitute the radius to obtain;

[tex]x^2+y^2=5^2[/tex]

The required equation is

[tex]x^2+y^2=25[/tex]

Answer:

A. seems to be the BEST choice from the information you have provided.

Answer:

A is the most practical answer with the info you have given

Step-by-step explanation:

The Answer is 0.0636 c

Answer:

Boys=420

336+420= 756

Step-by-step explanation:

The total number of girls and boys are at the concert will be 756.

Since the ratio of girls to guys at the concert is 4 to 5 and there are 336 girls at a concert, then the total girls and boys are at the concert will be:

= 336 / (4/9)

= 336 × 9/4

= 756

Therefore, the total girls and boys are at the concert will be 756.

Read related link on:

https://brainly.com/question/25705861

Answer:

The length of the cut is [tex]17\ ft[/tex]

Step-by-step explanation:

we know that

To calculate the length of the cut apply the Pythagoras Theorem

Let

x----> the length of the cut (hypotenuse of a right triangle)

[tex]x^{2}=L^{2} +W^{2}[/tex]

substitute the given values

[tex]x^{2}=15^{2} +8^{2} \\ \\x^{2}= 289\\ \\x=17\ ft[/tex]

To find the length of the diagonal cut on the rectangular board, use the Pythagorean Theorem by square rooting the sum of the squares of the length and width. In this case, the cut will be 17 feet long.

A construction worker is cutting along the diagonal of a rectangular board 15 feet long and 8 feet wide.

To find the length of the cut:

Answer:

Step-by-step explanation:

To prove that Circle X is similar to Circle Y, we need to show that their corresponding angles are equal and their corresponding sides are proportional. We can compare the ratios of the circumference to the diameter for both circles, which are equal, implying that the angles in the two circles are equal and Circle X is similar to Circle Y.

To prove that Circle X is similar to Circle Y, we need to show that their corresponding angles are equal and their corresponding sides are proportional. Since the radii of the two circles are different (r for Circle X and s for Circle Y), we cannot directly compare their sides. However, we can compare their ratios. If we divide the circumference of Circle X by its diameter, we get the value of pi (π), which is approximately 3.14. Similarly, if we divide the circumference of Circle Y by its diameter, we would also get pi (π). This means that the ratios of the circumference to the diameter for both circles are equal, which implies that the angles in the two circles are equal and therefore, Circle X is similar to Circle Y.

Answer:

  [tex]\log_{9}{\dfrac{13}{x}}=\log_{9}{\boxed{13}}-\log_{9}{x}[/tex]

Step-by-step explanation:

The rule is ...

  log(a/b) = log(a) -log(b) . . . . all logs to the same base

Then for a/b = 13/x, this becomes ...

  log(13/x) = log(13) -log(x)

If the base of logarithms is 9, then this is ...

  log9(13/x) = log9(13) -log9(x)

Answer: [tex]\frac{y}{z^3}[/tex]

Step-by-step explanation:

To simplify the expression given in the problem, you must apply the proccedure shown below:

1- According the Exponents Rules, you know the following:

[tex]a^0=1\\\\a^{-n}=\frac{1}{a^n}[/tex]

2- Therefore, keeping the above on mind, you can simplify the expression given in the problem as you can see below:

[tex]x^0yz^{-3}=(1)yz^{-3}\\\\=yz^{-3}\\\\=y\frac{1}{z^3}\\\\=\frac{y}{z^3}[/tex]

To start off scaling is another way of saying resizing the numbers --

Example: "1" on paper means "10" in real life   --

To predict a product of a number/fraction using scaling, you would compare the size of a product on the basis of the size of the other.

Most scaling is used in maps or something to do with rulers

I hope this helps!!

Answer:

B, C, D, and F

Step-by-step explanation:

The graph is an exponential curve rising upwards. By looking at the graph we can tell that the graph is only increasing, it touches the y-axis at 30 and it lies in the 1st quadrant.

So, option A is wrong, as the graph is increasing.

Option B is correct. The point where graph crosses/touches the y-axis is the y-intercept. So the y-intercept is 30.

Option C is correct. As the graph lies in 1st quadrant and is positive over the entire range of values.

Option D is also correct as the graph is increasing over entire range of values.

Option E is incorrect as y-intercept is 30.

Option F is correct. Since the graph is increasing, this means with every passing year the number of dolphins is increasing.

Therefore, the correct options are: B, C, D, and F

Answer:

a) R = 3.6

b) A = 2

Step-by-step explanation:

To find the value, start by modeling the inverse proportionality by using the base equations with the original givens.

y = k/x

12 = k/1.5

18 = k

Now we use that to model the equation

R = 18/A

And we can now use that to solve parts a) and b)

a)

R = 18/A

R = 18/5

R = 3.6

b)

R = 18/A

9 = 18/A

2 = A

Answer:

10(32 - n)

Step-by-step explanation:

This is a beginning algebra question. It is trying to find out if you know what a difference is.

A difference always means subtract in math. Always. There are no exceptions.

So the difference between 32 and n is 32 - n

This difference is multiplied by 10

10(32 - n)

Usually the number mentioned first is the number put to the left of the subtract sign.

If you tell me the answer is 10(n - 32) then you should say that it is the difference between n and 32.

Answer:

The 10! means 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 ⇒ answer C

Step-by-step explanation:

* Lets explain how to solve the problem

- Factorial number means a number which is multiply itself to its

 decreasing numbers

- In mathematics, the factorial of a non-negative integer n, denoted by

 n! is the product of all positive integers less than or equal to n

- That means n! = n × (n-1) × (n-2) × (n-3) × ...........× 1

- Ex: 5 ! = 5 × 4 × 3 × 2 × 1 = 120

* Lets solve the problem

- There was 10 factorial 10! possible different orders

- The meaning of 10! is the multiplication of all the numbers from

 10 to 1

∴ 10! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

* The 10! means 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

The correct choice is C, 10(9)(8)(7)(6)(5)(4)(3)(2)(1). The expression 10! (ten factorial) means the product of all integers from 1 to 10, which is calculated as 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1.

Therefore, the correct choice is C. For example, 4! equals 4 × 3 × 2 × 1 = 24.

The expression 10!, read as 'ten factorial', represents the product of all integers from 1 to 10. It is calculated as follows:

10! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

So, the correct choice for what 10! means is:

C- 10(9)(8)(7)(6)(5)(4)(3)(2)(1)

For example, the factorial of 4 is calculated as 4! which equals 4 × 3 × 2 × 1 = 24.

Similarly, for 10!, you multiply all integers from 10 down to 1.

Answer is letter D.

4/5

expression of 20 • 5â€2

Answer:

47°

Step-by-step explanation:

so a straight line is 180°

It gives us 82° for line D, so to find angle C, we must do 180° - 82° = 98 °

Hopefully you know that a triangle is also 180°

we know two angles: 35, 98

35° + 98° = 133°

180°-133°= 47°

47° is angle B

Answer:

m<B = 47°

Step-by-step explanation:

<ACD is a straight angle and this angle is exactly 180 degrees

As you know

<ACB + <BCD = <ACD

<ACB + 82 = 180

<ACB = 180 - 82

<ACB = 98°

Sum of interior angles in a triangle = 180°

So

<A + <B + <ACB = 180°

35° +<B + 98° = 180°

<B + 133° = 180°

<B = 180° - 133°

<B = 47°

Answer:

$0.61

Step-by-step explanation:

1. Find the sales price of each store by multiplying the regular price by the % off to find the discount - then subtract.

    store A: 24.95*20% (or 0.20) = 4.99 (discount)

                   24.95 - 4.99 = 19.96 (sales price)

    store B: 25.80 * 25% (or 0.25) = 6.45 (discount)

                  25.80 - 6.45 = 19.35

To find the difference of sales price, subtract 19.96 - 19.35 = 0.61

Answer:)

THE ANSWER IS A) $0.61

Answer:

D.2

Step-by-step explanation:

Slope is given by the ratio of change in y to change in x.

Taking two points on the table;

(-5, 15) and (1, 3)

Slope = (3-15)/ (1- (-5))

         = 12/6

         = 2

Answer:

A)  -2

Step-by-step explanation:

See the attached photo for explanation

Answer:

Option D.  11.

Step-by-step explanation:

121 = 11 * 11.  These are the only factors.

So its 11.

11 is a factor of 121.

A factor of a number is a number that makes up the former number. When a number is factorized, it gives us the factors of the number.

The number 121 can also be written as:

121 = 11*11

This means that when 11 is multiplied by itself, it gives 121.

This also means that 11 is the only factor of the given number.

Now observe the given options. We can see that only one option is correct and that option is 11.

Therefore, we have found the factor of 121 is 11. The correct answer is option D.

Learn more about factors here: https://brainly.com/question/25829061

#SPJ2

Answer:

32 posts

Step-by-step explanation:

In terms of fence-post spaces, the corral is 10 by 6, so its perimeter is ...

P = 2(10 +6) = 32 . . . . . fence post spaces.

Patrick intends to paint 32 fence posts.

Final answer:

Patrick needs to paint a total of 32 fence posts around the rectangular corral. This total counts the posts for both pairs of sides after considering that the four corner posts have been counted twice.

Explanation:

The question involves calculating the total number of fence posts needed to surround a rectangular corral. Since the corral is 50 ft by 30 ft, and fence posts are spaced 5 feet apart, we must calculate how many posts are needed on each side of the rectangle and then add them together.

To begin with, for each of the longer sides (50 ft), we would need 50 ft ÷ 5 ft/post = 10 posts per side. However, we need to add one more post to close the rectangle, so we have 10 + 1 = 11 posts on each of the longer sides. For the shorter sides (30 ft), it would be 30 ft ÷ 5 ft/post = 6 posts per side, plus the extra post to close the rectangle, resulting in 6 + 1 = 7 posts on each of the shorter sides.

To get the total number of posts, we add up the posts on all sides: (11 posts × 2) + (7 posts × 2) = 22 + 14 = 36 posts. However, we must consider that we have counted the corner posts twice, once for each side they join. Since there are four corners, we subtract four posts from our total, resulting in 36 - 4 = 32 posts that Patrick needs to paint.

Answer:

Step-by-step explanation:

you take 5280( How many feet are in a mile) and dived it by 3. The equals 1760 and that is the answer because 1760 is 1/3 of 5280

Answer:1760  

Ok so we know that consecutive angles are supplementary and the diagonals bisect the angels so

2x-15+3x=90

5x=105

X=21

Answer:

See the highlighted values below.

Step-by-step explanation:

The following right angled triangle will have an angle whose cosine is 5/13.

Hypotenuse = 13 and the 2 legs  will be 5 and 12 units long. The 12 is found using the Pythagoras theorem ( 13^2 = 5^2 + 12^2).

cos O = adjacent / hypotenuse = 5/13.

So sin O = opposite / hypotenuse = 12/13.

tan O =  opposite / adjacent = 12/5.

csc O = 1 / sin O =  13/12.

sec O = 1 /cos O = 13/5.

cot O = 1 / tan O = 5/12.

1. subtract 47.5 from both sides

2. divide both sides by 4.5

3. 3

Just did in edg

Answer:

1. By substitution property of inequality

5(9.5)+4.5[tex]\leq[/tex]65

2. By using multiplication  in equality then we get

47.5+4.5x[tex]\leq[/tex]65

3. The five friends will have 3 snacks to split.

Step-by-step explanation:

Given

Five friends have total money= $65

Cost of each movie ticket= $9.50

Cost of each snack item= $4.50

Let ,five friends have total snacks = x

Total movie tickets=5

Because total number of friends=5

The inequality expressionis given by

I Step: [tex]5(9.5)+4.5x\leq 65[/tex]

Reason: By using substitution property of inequality

[tex]47.5+4.5x\leq 65[/tex

2. Step :[tex]4.5x[tex]\leq[/tex]65-47.5[/tex]

[tex]4.5x\leq 17.5[/tex]  ( by subtarction 47.5  from both sides)

[tex]x\leq \frac{17.5}{4.5}[/tex]   ( by dividing 4.5 on both sides )

Because they can buy maximum 3 snacks .

Beacause the number of snacks is natural number so we can't take in rational numbers.

s=√\frac{n}{n-1} [tex]n∑(x₁-x⁻)^2

                                  i=1

Answer:

true!! :)) please mark brainliest

Answer:

False

Step-by-step explanation:

The given inequality is [tex]-3\:<\:x\:<\:14[/tex].

The boundaries of the inequality are not inclusive.

We use the "()" to indicate that the interval is open.

The required interval notation is [tex](-3,14).[/tex]

Answer:

The slope is undefined.

Step-by-step explanation:

Slope formula:

[tex]\displaystyle \frac{Y_2-Y_1}{X_2-X_1}[/tex]

[tex]\displaystyle \frac{(-4)-4}{3-3}= \frac{-8}{0}=0[/tex]

Slope formula: y2-y1/x2-x1

= -4-4/3-3

= 0/0

= 0

Since the slope is 0 the line is straight.

Hope This Helped! Good Luck!

Answer:

  a = -3/2

Step-by-step explanation:

You can set x=0 and solve for y to find the y-intercept in each case.

  first equation: y-intercept = -3/2

  second equation: y-intercept = a

To make these equal, we must have ...

  a = -3/2

Answer:

See attachment.

Step-by-step explanation:

The equation of the function is

[tex]y=-4x+7[/tex]

The slope of this function is

[tex]m=-4[/tex] and the y-intercept is [tex]c=7[/tex].

This implies that the graph of the straight line passes through (0,7).

Let us also find the x-intercept by putting y=0 into the equation.

[tex]0=-4x+7[/tex]

[tex]-7=-4x[/tex]

Divide through by -4.

[tex]\Rightarrow x=\frac{7}{4}[/tex]

Therefore the graph also passes through [tex](\frac{7}{4},0)[/tex].

We plot these two points and draw a straight line through them.

Answer:

  x² + y² = 1

Step-by-step explanation:

x and y are the leg lengths of a right triangle with hypotenuse 1. The Pythagorean theorem says the relationship is ...

  1² = x² + y²

___

Of course, 1² = 1.