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HACTEHA [7]
3 years ago
8

I need help with this ASAP!!

Mathematics
1 answer:
Gwar [14]3 years ago
5 0

Answer:

A) 3;  B) 1116 m²; C) 24 m³; D) 1/27

Step-by-step explanation:

A) Scale factor

The scale factor is the ratio of the heights of the two pyramids.

h₂/h₁ = 24/8 = 3

B) Surface area

The ratio of the surface areas is the square of the scale factor.

A₂/A₁ = 3²

A₂/124 = 9

A₂ = 124 × 9 = 1116 m²

The volume of the larger pyramid is 1116 m².

C) Volume

The ratio of the volumes is the cube of the scale factor.

V₂/V₁ = 3³

648/V₁ = 27

648 = 27V₁

V₁ = 648/27 = 24 m³

The volume of the smaller pyramid is 24 m³.

D) Volume ratio

V₁/V₂ = 24/648 = 1/27

The volume ratio is 1/27.

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Find the next two numbers in the pattern.<br> 7, -28,112, -448,<br> Fill in the blank with 2 numbers
erastovalidia [21]

Answer:

1792, -7168

Step-by-step explanation:

If you can find the constant number multiplied in the pattern, you know that it multuplies by -4. -448 times -4 will be a positive number, which the answer is 1792 if you use the calculator, then you use 1792 and multiplie that by -4 to get -7168.

That's the answer, 1792, then -7168.

5 0
3 years ago
A store marks up all of their merchandise by 70%. The floor price of a scarf is $117.25.
KiRa [710]

Answer:

  $68.97

Step-by-step explanation:

Markup is the difference between the cost of an item and the price at which it is sold:

  cost price + markup = selling price

Here, the markup is said to be 70%. The base for that percentage can be either the cost price or the selling price. The way this question is worded suggests the markup is 70% of the cost price.

So, we have ...

  cost price + 0.70 × cost price = selling price

or

  cost price × (1 + 0.70) = selling price

__

Then, to find the cost price, we can divide by its coefficient in this equation. Doing that gives ...

  cost price = (selling price)/1.70

  cost price = $117.25/1.70 = $68.97

The store's purchase price before the markup for this item was $68.97.

4 0
3 years ago
How can you<br> determine if two triangles are similar?
Yanka [14]

Answer:

You can determine if two triangles are similair if 2 angles are the same.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Jada lives 1 3/10 miles from school. Lin lives 1/4 mile closer to school than Jada. How far does Lin live from school? Type in t
nekit [7.7K]

Answer:

Lin lives 1 1/20 miles away from school

Step-by-step explanation:

1 3/10 becomes 1 6/20

1/4 becomes 5/20

1 6/20 - 5/20

= 1 1/20

6 0
2 years ago
Nick is making bread dough.
LiRa [457]

Answer:

He would need \frac{3}{2}=1\frac{1}{2} cups of salt.

Step-by-step explanation:

We are given that,

The recipe requires \frac{3}{4} cups of flour and 1\frac{1}{8}=\frac{9}{8} teaspoons of salr.

As Nick wants to make the recipe using 1 cup.

Let the amount of salt needed = x

The ratio of the flour and salt will be same.

So, we have,

\frac{\frac{3}{4}}{\frac{9}{8}}=\frac{1}{x}

i.e. \frac{3\times 8}{4\time 9}=\frac{1}{x}

i.e. \frac{2}{3}=\frac{1}{x}

i.e. x=\frac{3}{2}=1\frac{1}{2}

Thus, he would need \frac{3}{2}=1\frac{1}{2} cups of salt if 1 cup of flour is used.

8 0
3 years ago
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