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3 years ago

Apply the distributive property to create an equivalent expression, (m-3+4n)*(-8)

Mathematics

2 answers:

nydimaria [60]3 years ago

8 0

Answer:

-8m +24 -32n

Step by step explanation:

MakcuM [25]3 years ago

5 0

Answer:

-8m +24 -32n

Step-by-step explanation:

(m-3+4n)*(-8)

Distribute the -8 to each term inside the parentheses

-8*m -8*-3 -8*4n

-8m +24 -32n

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The following picture is a square pyramid where DE=8 cm and m∠ADE=60°.

Goryan [66]

Given:

The length of DE is 8 cm and the measure of ∠ADE is 60°.

We need to determine the surface area of the pyramid.

Length of AD:

The length of AD is given by

$cos 60^{\circ}=\frac{FD}{8}$

$4=FD$

Length of AD = 8 cm

Slant height:

The slant height EF can be determined using the trigonometric ratio.

Thus, we have;

$sin \ 60^{\circ}=\frac{EF}{8}$

$sin \ 60^{\circ} \times 8=EF$

$\frac{\sqrt{3}}{2} \times 8=EF$

$4\sqrt{3}=EF$

Thus, the slant height EF is 4√3

Surface area of the square pyramid:

The surface area of the square pyramid can be determined using the formula,

$SA=Area \ of \ square + \frac{1}{2} (Perimeter \ of \ base ) (slant \ height)$

Substituting the values, we have;

$SA=8^2+\frac{1}{2}(8+8+8+8)(4 \sqrt{3})$

$SA=64+\frac{1}{2}(32)(4 \sqrt{3})$

$SA=64+(16)(4 \sqrt{3})$

$SA=64+64 \sqrt{3}$

The exact form of the area of the square pyramid is $64+64 \sqrt{3}$

Substituting √3 = 1.732 in the above expression, we have;

$SA = 64 + 110.848$

$SA = 174.848$

Rounding off to one decimal place, we get;

$SA = 174.8$

Thus, the area of the square pyramid is 174.8 cm²

7 0

3 years ago

Read 2 more answers

Need Help quickly ASAP

Hitman42 [59]

Answer:

238 D

Step-by-step explanation:

238 lol. 34 times 7 is 238

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3 years ago

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Bill spent 70 on fertilizer and weed killer for his lawn .Each pound of fertilizer cost 50 cents and each once of weed killer co

meriva

An equation that correctly represent this relationship if x represents the number of pounds of fertilizer and y the number of ounces of weed killer is 0.5x + 3.5y = 70

Solution:

Given that, Bill spent 70 on fertilizer and weed killer for his lawn

Each pound of fertilizer cost 50 cents and each once of weed killer cost 3.50

We have to write an equation, if x represents the number of pounds of fertilizer and y the number of ounces of weed killer.

Now, total amount = amount for fertilizers + amount for weed killers.

Total amount = number of pounds of fertilizers x cost per pound + number of ounces of weed killer x cost per ounce.

$\begin{array}{l}{\rightarrow 70=x \times 0.50+y \times 3.50} \\\\ {\rightarrow 0.5 x+3.5 y=70}\end{array}$

Hence, the equation is 0.5x + 3.5y = 70

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3 years ago

Emily is entering a bicycle race for charity. Her mother pledges $0.70 for every 0.75 mile she bikes. If Emily bikes 21 miles, h

lara [203]

The answer might be 19.60

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3 years ago

carlos is baking banana bread.He uses 3/8 cup of brown sugar in one loaf.He is making 6 loaves of banana bread.How much brown su

algol13

Well, if he uses 3/8 cup per loaf and makes 6 loaves then basically all you will need to do is 3/8 times 6 which =s 24/8. And how many times does 8 go into 24? 3 times, so Carlos will use 3 cups of brown sugar for his banana bread loaves.

Hope this helps!:);)

4 0

4 years ago

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