Need help on 5 don’t get it

Answer:

(4 * 1.5) * 2 = 12

Step-by-step explanation:

Answer:

198 sq cm

Step-by-step explanation:

[tex]A(trapezoid) = \frac{1}{ \cancel 2} (21 + 12) \times \cancel{12} \\ \\ =33 \times 6 \\ \\ = 198 \: {cm}^{2} [/tex]

Answer: 198

Step-by-step explanation:

add the bases together which is 12 + 21 = 33 and the heigh is 12 which mean u multiply the base andheight and its 198 because the answer that is not divided has to be divided by 2

A square prism has the same the base area and volume as the square pyramid is 4 units.

The volume of a square pyramid is,

[tex]a^{2} *h/3[/tex]

[tex]256=a^{2} *12/3[/tex]

[tex]256=4 a^{2}[/tex]

[tex]256/4=a^{2}[/tex]

[tex]64=a^{2}[/tex]

[tex]a=8[/tex]

Now we know that the square is 8 by 8.

A square pyramid has a height of 12 units and a volume of [tex]256 units^3[/tex]

The volume of a square prism is a²h

[tex]V=a^{2} h[/tex]

[tex]256=64h[/tex]

[tex]256/64=h[/tex]

[tex]h=4[/tex]

The height is 4 unit

Also, a square pyramid is 1/3 the volume of a square prism.

[tex]\frac{12}{3}=4[/tex]

Therefore,we get a square prism has the same the base area and volume as the square pyramid is 4 units.

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Answer:

4 units

Step-by-step explanation:

I got it right on the test :)

The selection of the committee members is an illustration of combination

There are 150150 different ways of selecting the committee

The number of members (n) is:

n = 15

The members on the committee are (r):

r = 4

So, the number of selection is:

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

This gives

[tex]^{15}C_4 = \frac{15!}{(15 - 4)!4!}[/tex]

Evaluate the differences

[tex]^{15}C_4 = \frac{15!}{9!4!}[/tex]

Expand

[tex]^{15}C_4 = \frac{15* 14 * 13 * 12 * 11 * 10 * 9!}{9!4!}[/tex]

This gives

[tex]^{15}C_4 = \frac{15* 14 * 13 * 12 * 11 * 10}{4!}[/tex]

[tex]^{15}C_4 = 150150[/tex]

Hence, there are 150150 different ways of selecting the committee

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The probability that it lands on an even number or a number greater than 6 are 1/2 and 1/4 respectively

Data;

The probability of an event occurring is the ratio between number of possible outcomes to the total number of sample space.

a)

The probability of having an even number is

[tex]P = \frac{4}{8} = \frac{1}{2}[/tex]

b)

The probability of having a number greater than 6 is

[tex]P = \frac{2}{8} = \frac{1}{4}[/tex]

The probability that it lands on an even number or a number greater than 6 are 1/2 and 1/4 respectively

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Answer:

the second one

Step-by-step explanation:

Answer:

Area = 2.28 sq km

Perimeter = 13.7 km

Step-by-step explanation:

[tex]A(\triangle)=\frac{1}{2}(1.2)(3.8)[/tex]

[tex]\implies A(\triangle)=(1.2)(1.9)[/tex]

[tex]\implies \boxed{\red{\bold{A(\triangle)=2.28\:km^2}}}[/tex]

[tex]P(\triangle)=7+1.2+5.5[/tex]

[tex]\implies \boxed{\purple{\bold{P(\triangle)=13.7\: km}}}[/tex]

Step-by-step explanation:

answer is in the picture

Option A (sin(P) = r/q), Option C (sin(Q) = r/p), and Option D (sin(R) = q/r) are correct sine ratios for ΔPQR. Option B (sin(P) = p/q) and Option E (sin(R) = r/q) are not correct sine ratios for ΔPQR.

To determine the correct sine ratios for ΔPQR, let's recall the definitions of sine for each angle in a right-angled triangle.

In a right-angled triangle ΔPQR:

1. sin(P) = opposite side / hypotenuse = r / q (Correct) [By definition of sine in a right triangle, sin(P) = opposite/hypotenuse]

2. sin(Q) = opposite side / hypotenuse = r / p (Correct) [By definition of sine in a right triangle, sin(Q) = opposite/hypotenuse]

3. sin(R) = opposite side / hypotenuse = q / r (Correct) [By definition of sine in a right triangle, sin(R) = opposite/hypotenuse]

Option A (sin(P) = r/q), Option C (sin(Q) = r/p), and Option D (sin(R) = q/r) are correct sine ratios for ΔPQR. Option B (sin(P) = p/q) and Option E (sin(R) = r/q) are not correct sine ratios for ΔPQR.

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Answer:

16?

Step-by-step explanation:

1 = 4

2 = 7

3 = 10

4 = 13

5 = 16

Answer:

13

Step-by-step explanation:

To find the value of y, we will use the substitution method

Plug the y of the top equation into the other equation

2(5x + 3) = 18x - 10

Distribute the 2 into the equation inside the parenthesis

10x + 6 = 18x - 10

Subtract 10x from both sides

10x + 6 = 18x - 10

-10x        -10x

6 = 8x - 10

Add 10 to both sides

6 = 8x - 10

+10      + 10

16 = 8x

Divide both sides by 8

16/8 = 8x/8

x = 2

Sub the 2 in the place of x into one of the original equations. We will use the first one.

y = 5(2) + 3

y= 10 + 3

y = 13

Answer:

y = 13

Step-by-step explanation:

y = 5x + 3

2y = 18x- 10

substitution (substituting y with the y value given):

2( 5x + 3 ) = 18x - 10

solve:

10x + 6 = 18x - 10

10x - 18x = -10 - 6

-8x = -16

x = 2

now plug in the x:

y = 5( 2) + 3

y = 10 + 3

y = 13

Answer:

G=50x+350

Step-by-step explanation:

Answer:

in explanation

Step-by-step explanation:

as the question told you, if there're 5 counselors, there's a maximum for students of 15. and for 15 counselors, there's a maximum for students of 45. we can easily see that every one counselor can only have 3 students. therefore, you should draw each dot with respect to the counselors' amount, but because two points determine one line, all you need to do is draw (5,15), (15,45) and line them from 0 to 50.

Answer:

1.

$.33

$3

2.

all the answers can be found when the rate is known which is

grapes are sold at $3 per pound

Step-by-step explanation:

$6 ÷ 2 pounds = $3 per 1 pound

this means 1 pound of grapes is $3

next row

1 ÷ 3 = $.33

3rd row

1 multiplied by 3 = $3

2.

all the answers can be found when the rate is known which is

grapes are sold at $3 per pound

Answer:

A number line going from 2 to 7. A solid circle is at 4. Everything to the left of the circle is shaded.

Step-by-step explanation:

The pizza itself will cost $12, and because toppings cost $2 apiece, the maximum amount of toppings that can be used is 4.

4·2=8

8+12=20

So, by putting a closed circle on 4, going to the left, the line shows that she can buy anywhere from 0-4 topping on her pizza.

Answer:

A

Step-by-step explanation:

Answer:

273

Step-by-step explanation:

Answer:

-3,-6

Step-by-step explanation:

(x+x)/2,(y+y)/2=midpoint

(-4+-2)/2,(-2+-10)/2=(-3,-6)

Answer=(-3,-6)

Answer: negative 3 comma and negative 6

Step-by-step explanation:

Answer:

9300

Step-by-step explanation:

Answer:

correct answer is : To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

1. cross multiply

3/1 = m/5

15 = m

m = 15

Answer:

56.52 cm²

Step-by-step explanation:

Equation = ½ pi r²

So...

= ½ pi r²

= ½×3.14×6×6 (Replace 3.14 in Pi and replace 6×6 in r²)

= 1.57×36

= 56.52 cm²

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Answer:

Given

no of Grade 6 students = 220

no of Grade 7 students = 40 more than grade 6 students

Step-by-step explanation:

boys Grade 7 students = no of Grade 6 students - 40 more than grade 6 students

boys Grade 7 students = 220 - 40

boys Grade 7 students = 180 grade 7 boy students are enrolled

Therefore, 180 grade 7 boy students are enrolled.

Answer:

15 multiply by quarter is equal yo 60

Answer:

2 ft³

Step-by-step explanation:

Volume of a box = length × width × height

Length = 1 ft

width = 1 ft

height = 2 ft

Volume = 1 × 1 × 2 = 2 ft³

Answer:

4

Solving steps:

In order to find the sequence substract the previous

=> 18 - 14

=> 4

So, 14 + 4 = 18

18 + 4 = 23

etc.

Let's get all of the dogs weights displayed:

Diesel: 89 Pounds 12 Ounces

Ebony:  55 Pounds 14 Ounces

Luna: 20 Pounds 2 Ounces

Total Pounds: 164

Total Ounces: 28

Total Weight: 165 Pounds and 12 Ounces

The percentage of the payments made were due to interest is 32.6 %. Then the correct option is B.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

The following table shows a portion of a five-year amortization schedule.

A 5-year amortization schedule.

Loan amount or principal: 10,900 dollars.

The interest rate on loan: 10. 95 percent.

The table will be

Month         Payment         Principal         Interest         Balance

  15               236.72            155.87            80.85           8704.27

  16               236.72            157.29            79.43           8546.98

  17               236.72            158.73            77.99            8388.25

  18               236.72            160.18            76.54            8228.07

  19               236.72            161.64            75.08            80.66.43

  20              236.72            163.11             73.61             7903.32

Total payment = 6 × 236.72 = $ 1420.32

Total interest = 80.85 + 79.43 + 77.99 + 76.56 + 75.08 + 73.61

Total interest = $ 463.38

Then the percentage will be

[tex]\rm Percentage = \dfrac{463.38}{1420.32}*100\\\\Percentage = 32.625 \approx 32.6\ \%[/tex]

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Answer:

Area ≈ 1256 [tex]in^{2}[/tex]

Step-by-step explanation:

The formula to find the area of a circle is [tex]\pi r^{2}[/tex]

the diameter of this circle is 40 inches. The radius is half of that, 20 inches.

[tex]\pi 20^{2}[/tex] = [tex]400 \pi[/tex]

[tex]400\pi[/tex] ≈ 1256

Area ≈ 1256 [tex]in^{2}[/tex]