2 years ago

These prisms are similar. Find the surface

Mathematics

1 answer:

Bumek [7]2 years ago

5 0

Answer:

823.7 m^2

Step-by-step explanation:

The ratio of the side lengths is 6/5.

The ratio of the areas is the square of the ratio of the side lengths, 36/25.

572 m^2 * 36/25 = 823.7 m^2

You might be interested in

Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15.

Naya [18.7K]

It's a geometric sequence.

$4,-12,36,... \\ \\
a_1=4 \\
r=\frac{a_2}{a_1}=\frac{-12}{4}=-3 \\ \\
a_n=a_1 \times r^{n-1} \\
a_n=4 \times (-3)^{n-1} \\
a_n=4 \times (-3)^{-1} \times (-3)^n \\
a_n=4 \times (-\frac{1}{3}) \times (-3)^n \\
a_n=-\frac{4}{3}(-3)^n$

It's the sum for term 4 through term 15.

$\boxed{ \sum\limits_{n=4}^{15} (\frac{4}{3}(-3)^n)}$

8 0

2 years ago

What is the best estimate for the volume of the pyramid?

laila [671]

<span>Volume of the pyramid = (1/3) * base area * height
Base area = 230</span>² = 52,900 m²
<span>Volume of the pyramid = (1/3) * 52,900 * 138 = 2,433,400 m</span>³

6 0

3 years ago

What’s the equation for g(x)

taurus [48]

Answer:

g(4)=10

Step-by-step explanation:

4 0

2 years ago

What is the next number in the sequence 3,7,15,31,63,

andrew-mc [135]

Answer:

The next number is 127

Step-by-step explanation:

The sequence is the previous number times 2 plus one.

6 0

3 years ago

Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle translates 4 units right and 3 units down. Which rule rep

Andrew [12]

Answer:

A = (1, 1)

Step-by-step explanation:

All of the coordinates are moved 3 down and 4 to the right which makes A equal (1, 1)

6 0

2 years ago