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2 years ago

Write an algebraic expression for the word phase.

1 answer:

7 0

The answer is 10gh.

The product of g and h means the multiplication of g and h, so it would just be gh.

10 times the product of g and h would mean 10 multiplied by gh, so it would just be gh.

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A shop advertises 20% off its prices in a sale.

sdas [7]

Answer:

£45

Step-by-step explanation:

Say the original price is x. When we take 20% off, that's basically multiplying x by 20% and then subtracting that product from the original price, which is x:

x - 20% * x = 80% * x = 0.8x

Now, this equals £36, so we just set them equal:

0.8x = 36

Dividing by 0.8 from both sides, we get:

x = £45

Thus, the answer is £45.

6 0

3 years ago

Read 2 more answers

Which expression means "y more than seven"?

mojhsa [17]

Answer:

7+y

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

write the equation of the line, in standard form, that is perpendicular to y=3x-2 and passes through (-7,2)

34kurt

Answer:

x+3y=-1

Step-by-step explanation:

y=3x-2 so m=3 old slope

the new slope must be -1/3 (opposite reciprocal of the old slope).

y-y0=m*(x-x0)

y-2=-1/3*(x-(-7))

y-2=-1/3x-1/3*7

y-2=-1/3x-7/3

3y-6=-x-7

The standard form for linear equations in two variables is Ax+By=C.

x+3y=6-7

x+3y=-1

8 0

3 years ago

Help will give Brainly points

Arlecino [84]

Answer:

x is the hypotenuse

from trigonometry ratios:

$\sin( \theta) = \frac{opposite}{hypotenuse} \\$

consider theta to be 60°

$\sin(60 \degree) = \frac{3}{x} \\ \\ x = \frac{3}{ \sin(60 \degree) } \\ \\ { \underline{ \underline{ \: \: \: x = 3.5 \: \: \: }}}$

6 0

3 years ago

The total height of the figure shown is 20 inches and the slant is 17 inches. Which has a greater surface area, the prism or pyr

Aleksandr [31]

Answer:

Surface area of the prism is greater than surface area of the pyramid

Step-by-step explanation:

* lets study the figure

- We have square prism, the base is a square with side length

16 inches and height 5 inches

- We have square pyramid, the base is a square of side length

16 inches and slant height 17 inches

- The total height of the combined shape is 20 inches

∵ The total height is 20 inches and the height of the prism is 5 inches

∴ The height of the pyramid = 20 - 5 = 15 inches

∵ The slant height and the height of the pyramid with 1/2

side of the base make right angle triangle, The slant height

is the hypotenuse

∵ √(8² + 15²) = √289 = 17

∴ The slant height of the pyramid = 17 inches

- This step to be sure that 17 is the slant height of the pyramid

not the combined shape

* Lets revise the rules of the surface area of the square prism

and the square pyramid

- Surface area of the prism = PH + 2 B.A, where

# P is the perimeter of the base

# H is the height

# B.A is the base area

∵ The base is the square

∴ P = the length of the side × 4 = 16 × 4 = 64 inches

∴ B.A = (length of the side)² = (16)² = 256 inches²

∵ H = 5

∴ S.A of the prism = 64 × 5 + 2 × 256 = 320 + 512 = 832 inches²

- Surface area of the pyramid = 1/2 PL + B.A, where

# P is the perimeter of the base

# L is the slant height

# B.A is area of the base

∵ The base is the square

∴ P = the length of the side × 4 = 16 × 4 = 64 inches

∴ B.A = (length of the side)² = (16)² = 256 inches²

∵ L = 17 inches

∴ S.A of the pyramid = 1/2 × 64 × 17 + 256 = 544 + 256 = 800 inches²

∴ Surface area of the prism > surface area of the pyramid

7 0

4 years ago