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3 years ago

Find the lateral area of a regular pentagonal pyramid that has a slant height of 16 in. and a base side of 8 in.?

1 answer:

8 0

Pentagon=5, there will be 5 triangles and one base. area of triangle=1/2bh
1/2(8)(16)*5=320. 320 is the area of all of the triangles on the side. Since we are looking for lateral area, we need not include the base. So, the lateral area is 320 square inches.

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The measure of an angle is 51°. What is the measure of its supplementary angle?

vodomira [7]

Answer:

supplement of an angle is what must be added to that angle to get 180

51+supplement=180

minus 51 both sides

supplement=129

answer is 129

7 0

3 years ago

How do I find the function rule??? x: 0, 1, 2, 3 y: 5, 4, 3, 2

Makovka662 [10]

Answer: y=-1x+5

Step-by-step explanation:

1. Use slope-intercept formula (y = mx + b) to find the slope which is represented by the variable 'b'.

m = ∆y / ∆x

m = -1 / 1

m = -1

y= -1x + b

2. Use any cooresponding x and y values to substitute into the formula. Ex: (x,y) → (1,4)

y = mx + b

4 = -1(1) + b

4 = -1 + b

5 = b

3. Plug in the values found into the formula.

y = -1x + 5

8 0

3 years ago

F(x)=2x+3 and g(x)=4x-2. Find f(x) x g(x). Find f(x) - g(x).

const2013 [10]

Answer:

f(x) * g(x) is 8x^2 + 8x -6

f(x) - g(x) is -2x + 5

Step-by-step explanation:

When finding the answer, we can notice they already give the values for the needed answers.

The first one requires f(x) and g(x). At the beginning of the question it shows that f(x) is equal to 2x+3. Meaning we can plug in 2x+3 for f(x).

The same goes for g(x). At the begginning of the question, it shows that g(x) is equal to 4x-2. Meaning we can plug in 4x-2 for g(x).

f(x) * g(x)

(2x+3) * (4x-2)

To find the answer, we need to distibute the 2x+3 into 4x-2.

To distribute, we do :

2x * (4x-2) + 3 * (4x-2)

First we distribute the 2x

2x * 4x = 8x^2 and 2x * -2 = -4x

8x^2 - 4x

Next we distibute the 3

3 * 4x = 12x and 3 * -2 = -6

12x - 6

Now we can combine them by adding like terms to get the asnwer:

8x^2 = 8x^2

-4x + 12x = 8x

-6 = -6

The first answer is 8x^2 + 8x -6

Second question:

Since we already know the values for f(x) and g(x), all we have to do is plug in the values.

(2x+3) - (4x-2)

This time, since we are subtracting, all we have to do is subtract like terms.

2x - 4x = -2x

3 - (-2) = 5

The second answer is -2x + 5

3 0

2 years ago

I hope it’s clear enough but can some please help

Liula [17]

Answer:

Step-by-step explanation:

hope this helps you! have a good day!

6 0

3 years ago

Find a fraction or mixed number equivalent to each decimal.

Sphinxa [80]

Answer:

13. 1/3

14. 1/20

15. 9/20

16. 9/200

17. 253/25

18. 39/10

7 0

3 years ago