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2 years ago

What is the surface area of the square pyramid?

Mathematics

1 answer:

e-lub [12.9K]2 years ago

7 0

Answer:

SA = 16 units^2

Step-by-step explanation:

B - base

H - height

SA - surface area

B = 2

H = 3

SA = (B × B) + 4((1/2)×(B × H))

SA = (2×2) + 4((1/2)×(2×3))

SA = 16 units^2

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Andrea is at the grocery store buying fruit for a smoothie stand. She needs 7 boxes of raspberries for every 5 bunches of banana

Degger [83]

Answer:

The greatest number of bunches of bananas that Andrea can buy is 15 and the greatest number of boxes of raspberries that Andrea can buy is 21 to maintain the ratio 7:5

Step-by-step explanation:

Let

x ---->the greatest number of boxes of raspberries that Andrea can buy

y ---->the greatest number of bunches of bananas that Andrea can buy

we know that

$100\%+8\%=106\%=108/100=1.08$ ---> sales tax

$\frac{x}{y} =\frac{7}{5}$

$x=\frac{7}{5}y$ ----> equation A

$1.08[2.50x+3.00y]\leq 135$ ----> inequality B

substitute equation A in the inequality B

$1.08[2.50(\frac{7}{5}y)+3.00y]\leq 135$

solve for y

Multiply by 5 both sides to remove the fraction

$18.9y+16.2y\leq 675$

$35.1y\leq 675$

$y\leq 19.23$

The maximum value of y is 19

Find the value of x

replace the value of y in equation A until you get an integer value that satisfies the ratio 7:5

For y=19

$x=\frac{7}{5}(19)$

$x=26.6$

For y=18

$x=\frac{7}{5}(18)$

$x=25.2$

For y=17

$x=\frac{7}{5}(17)$

$x=23.8$

For y=16

$x=\frac{7}{5}(16)$

$x=22.4$

For y=15

$x=\frac{7}{5}(15)$

$x=21$

therefore

The greatest number of of bunches of bananas that Andrea can buy is 15 and the greatest number of boxes of raspberries that Andrea can buy is 21 to maintain the ratio 7:5

Verify the inequality B

$1.08[2.50(21)+3.00(15)]\leq 135$

$1.08[52.5+45]\leq 135$

$105.3\leq 135$ ----> is true

4 0

3 years ago

Suppose y varies directly with x. Write a direct variation equation that relates x and y, y=25 when x=140 what is the value of x

In-s [12.5K]

So the formula for direct variation is y=kxplug In the given values and you'll get 25=k140, solve for k and you get 5/28
so the equation is y=(5/28)xand the answer would be C

4 0

3 years ago

Factorise 3y^3-4xy+2y

sineoko [7]

Answer:

3y^3-4xy+2y

y(3y²-4x+2)

5 0

2 years ago

Evelyn saves 40% of her earnings for college. This year, she earned $200 more than last

N76 [4]

Answer:

$ 2,050

Step-by-step explanation:

Earnings last year : x

0.4(x + 200) = 900

(x + 200) =900/0.4

x + 200 = 2250

x = 2250 - 200

x = $2,050

6 0

3 years ago

You can buy 5 stickers for $3. Write a proportion that gives the cost c if you buy 12 stickers.

Reptile [31]

Answer:

$7.5

Step-by-step explanation:

Let

Quantity of stickers=x

Price of stickers=y

5 stickers cost $3

12 stickers cost $y

x/y = x/y

5/3 = 12/y

Cross product

5y=12*3

5y=36

Divide both sides by 5

5y/5 = 36/5

y=7.5

12 stickers= $7.5

Therefore, the price of 12 stickers= $7.5

5 0

3 years ago