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3 years ago

The total surface area of this triangular pyramid is_____? help asap

Mathematics

1 answer:

Inessa05 [86]3 years ago

3 0

Answer: 208 in^2

Step-by-step explanation:

find the surface area of the square base

8(8)=64

find the surface area of the 4 triangular lateral faces

SA=4(bh÷2)

4(8 x 9 ÷2)

4(36)=144

add the surface area of the square base and lateral faces

64+144=208

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You invest an initial $2,000 in an account that has an annual interest rate of 6%, compounds daily. How much money will you have

Vlad1618 [11]

2000(1+0.06/360)^15*360=??

5 0

3 years ago

A pet store sells goldfish and hermit crabs,

Elis [28]

Answer:

$Cost = \$28$

Step-by-step explanation:

Given

Represent Goldfish with g and hermit crabs with h.

The first statement, we have:

$7g + 3h = 26$

The second statement, we have:

$4g + 5h = 28$

Required

Determine the selling price of 6 goldfish and 4 hermit crabs

The equations are:

$7g + 3h = 26$ --- (1)

$4g + 5h = 28$ --- (2)

Make g the subject in (2)

$4g + 5h = 28$

$4g = 28 - 5h$

Divide both sides by 4

$g = \frac{1}{4}(28 - 5h)$

Substitute $\frac{1}{4}(28 - 5h)$ for g in (1)

$7g + 3h = 26$

$7(\frac{1}{4}(28 - 5h)) + 3h = 26$

$\frac{7}{4}(28 - 5h) + 3h = 26$

Multiply through by 4

$4 * \frac{7}{4}(28 - 5h) + 4*3h = 26*4$

$7(28 - 5h) + 4*3h = 26*4$

Open bracket

$196 - 35h + 12h = 104$

$196 -23h = 104$

Collect Like Terms

$-23h = 104-196$

$-23h = -92$

Make h the subject

$h = \frac{-92}{-23}$

$h = \frac{92}{23}$

$h = 4$

Substitute 4 for h in $g = \frac{1}{4}(28 - 5h)$

$g = \frac{1}{4}(28 - 5*4)$

$g = \frac{1}{4}(28 - 20)$

$g = \frac{1}{4}(8)$

$g = 2$

This implies that:

1 goldfish = $2

1 hermit crab = $4

The cost of 6 goldfish and 4 hermit crabs is:

$Cost = 6g + 4h$

$Cost = 6*\$2 + 4*\$4$

$Cost = \$12 + \$16$

$Cost = \$28$

5 0

3 years ago

Here is a picture of a math problem.

MAXImum [283]

The coordinates are (6,-9) (-12,-3) (0,-7)

you put 6 in the place of x to get 6+3y=-21 then you must take 6 away from each side to get 3y= -27 then divide each side by 3 so -27 divided by 3 is -9. do this for all of them! hope it helped!

3 0

3 years ago

Micky can clean a house in 3 hours. Denise can clean the same house in 9 hours. How long will it take them to clean the house if

Andreyy89

Answer:

9 - 3 = 6.

Therefore, the answer equals to 6 hours .

I hope this helps :))

Step-by-step explanation:

6 0

2 years ago

Select all the ordered pairs that are solutions of the equation.

mafiozo [28]

Answer:

B. (-1,7)

C. (0,5)

D. (2,3)

Step-by-step explanation:

We solve this question looking at the graphic.

A. (-7, 1)

When $x = -7, y \rightarrow \infty$ , and thus (7,-1) is not solution of the equation.

B. (-1,7)

When $x = -1, y = 7$ , and thus (-1,7) is a solution of the equation.

C. (0,5)

When $x = 0, y = 5$ , and thus (0,5) is a solution of the equation.

D. (2,3)

When $x = 2, y = 3$ , and thus (2,3) is a solution of the equation.

E. (3, 2)

When $x = 3, y \neq 2$ , and thus (3,2) is not part of the solution

F. (5,0)

When $x = 5, y \neq 0$ , and thus (5,0) is not part of the solution

3 0

4 years ago