3 years ago

Please help I don’t understand!!

Mathematics

1 answer:

V125BC [204]3 years ago

3 0

Answer:

The length of each edge of the cube is 1 unit.

Step-by-step explanation:

Volume of the cube = x * x * x = x^3

So x^3 = 1

x = 1.

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8(y+4)=7y+38 asap pls

Readme [11.4K]

Distribute
remember a(b+c)=ab+ac
8(y+4)=8(y)+8(4)=8y+32

8y+32=7y+38
minus 7y both sides
y+32=38
mius 32 oth sides
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2 years ago

Find S5 for a geometric series for which a1=81 and r=1/9.

Minchanka [31]

ANSWER

$S_5=91\frac{10}{81}$

EXPLANATION

The sum of the first $n$ terms of a geometric sequence is given by;

$S_n=\frac{a_1(1-r^n)}{1-r} ,-1$

Where $n$ , is the number of terms and $a_1$ is the first term.

When $n=5$ , we have $a_1=81$ , we get;

$S_5=\frac{81(1-(\frac{1}{9})^5)}{1-\frac{1}{9}}$

$S_5=\frac{81(1-\frac{1}{59049})}{1-\frac{1}{9}}$

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$S_5=\frac{7381}{81}$

$S_5=91\frac{10}{81}$

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2 years ago

6. A prism has bases that are equilateral triangles with sides lengths of 10 inches and a length of 30 inches.

eimsori [14]

Answer:

The volume of the prism is $1,299\ in^{3}$

Step-by-step explanation:

we know that

The volume of the prism is equal to

$V=BL$

where

B is the area of the triangular base

L is the length of the prism

we have

$L=30\ in$

The area of a equilateral triangle is equal to

$B=\frac{1}{2}(10)^{2} sin(60\°)$

$B=25\sqrt{3}\ in^{2}$

substitute

$V=(25\sqrt{3})(30)=1,299\ in^{3}$

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Step-by-step explanation:

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