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tangare [24]
3 years ago
5

How do I do this problem? Two similar pyramids have matching sides in the ratio 5:7. If the surface area of the larger pyramid i

s 441 cm^2. find the surface area of
the smaller pyramid.
S Area
cm²

Mathematics
1 answer:
Alex Ar [27]3 years ago
5 0

Answer:

Surface area of the smaller pyramid will be 225 cm²

Step-by-step explanation:

Two similar pyramids have their matching or corresponding sides in the ratio of 5 : 7.

In other words,

\frac{\text{One side of the smaller pyramid}}{\text{One side of the larger pyramid}} = \frac{5}{7}

Therefore, \frac{\text{Surface area of the smaller pyramid}}{\text{Surface area of the larger pyramid}} = (\frac{5}{7})^{2}

\frac{S_{\text{small}}}{S_{\text{large}}}=\frac{25}{49}

\frac{S_{\text{small}}}{441}=\frac{25}{49}

S_{\text{Small}}=\frac{441\times 25}{49}

          = 225 cm²

Therefore, surface area of the smaller pyramid will be 225 cm².

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NeTakaya

Answer:

<u>Pressure</u><u> </u><u>is</u><u> </u><u>8</u><u>0</u><u>,</u><u>0</u><u>0</u><u>0</u><u> </u><u>pascals</u><u>.</u>

Step-by-step explanation:

Area:

= { \bf{ 30 \times  {10}^{ - 4}   \:  {m}^{2} }}

Pressure:

{ \bf{pressure =  \frac{force}{area} }} \\  \\  { \tt{ =  \frac{240}{30 \times  {10}^{ - 4} } }} \\  = { \tt{80000 \: pascals}}

4 0
3 years ago
Need help fast!
amm1812
Answer: A) Point B, because if cups of frosting are 50, then drops of food coloring will be 200.


This is because the proportion of frosting to food coloring is 1:4, and if the answer to A is simplified (50:200), the ratio would be the same.
8 0
3 years ago
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Write an integer for this situation <br><br> 1 . $50 deposit
Ierofanga [76]
50 i think i need points lol
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3 years ago
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Simplify 8 + 3{x - 2[x + 5(x + 3)]}.<br><br> -33x + 82<br> 33x - 82<br> -33x - 82
77julia77 [94]

Answer:

<h2>-33x - 82</h2>

Step-by-step explanation:

Use

PEMDAS:

P      Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

and the distributive property a(b + c) = ab + ac.

1)\qquad5(x+3)=5x+15\\\\2)\qquad x+5(x+3)=x+5x+15=6x+15\\\\3)\qquad2[x+5(x+3)]=2(6x+15)=12x+30\\\\4)\qquad x-2[x+5(x+3)]=x-(12x+30)=x-12x-30=-11x-30\\\\5)\qquad3\{x-2[x+5(x+3)]\}=3(-11x-30)=-33x-90\\\\6)\qquad8+3\{x-2[x+5(x+3)]\}=8+(-33x-90)=-33x-82

5 0
3 years ago
3. Are these ratios equivalent? 35:28 and 10:8 *
attashe74 [19]

Reduce each ratio to its minimum expression to find if they are equal.

35:28

\begin{gathered} \frac{35}{28}=\frac{7\cdot5}{7\cdot4} \\ =\frac{5}{4} \end{gathered}

10:8

\begin{gathered} \frac{10}{8}=\frac{2\cdot5}{2\cdot4} \\ =\frac{5}{4} \end{gathered}

Since both ratios reduce to 5:4, they are equivalent.

Another way to check a:b is equivalent to c:d, is that a*d = b*c

In this case, this will be true if 35 times 8 is equal to 10 times 28:

\begin{gathered} 35\cdot8=280 \\ 10\cdot28=280 \end{gathered}

Since both products are equal, then the ratios are equivalent.

4 0
1 year ago
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