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3 years ago

Find the length of x round your answer to the nearest hundredth

Mathematics

1 answer:

allsm [11]3 years ago

6 0

Answer:

x = 7.55

Step-by-step explanation:

We can use the Pythagorean theorem to solve

a^2 +b^2 = c^2

where a and b are the legs and c is the hypotenuse

a^2 +8^2 = 11^2

x^2 +64 = 121

Subtract 64 from each side

x^2 +64-64 = 121-64

x^2 =57

Take the square root of each side

sqrt(x^2) = sqrt(57)

x = 7.549834435

To the nearest hundredth

x = 7.55

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Solve the equation (linear equation)<br><br> <img src="https://tex.z-dn.net/?f=8%5E%7B2x%2B7%7D%20%3D%20%28%5Cfrac%7B1%7D%7B32%7

Minchanka [31]

Answer: $x=-1$

Step-by-step explanation:

By the negative exponent rule, you have that:

$(\frac{1}{a})^n=a^{-n}$

By the exponents properties, you know that:

$(m^n)^l=m^{(nl)}$

Therefore, you can rewrite the left side of the equation has following:

$(\frac{1}{8})^{-(2x+7)}=(\frac{1}{32})^{3x}$

Descompose 32 and 8 into its prime factors:

$32=2*2*2*2*2=2^5\\8=2*2*2=2^3$

Rewrite:

$(\frac{1}{2^3})^{-(2x+7)}=(\frac{1}{2^5})^{3x}$

Then:

$(\frac{1}{2})^{-3(2x+7)}=(\frac{1}{2})^{5(3x)}$

As the base are equal, then:

$-3(2x+7)=5(3x)$

Solve for x:

$-6x-21=15x\\-21=15x+6x\\-21=21x\\x=-1$

8 0

3 years ago

What’s the Lcm of 28,42 and 63

Rzqust [24]

Answer:

252 is the least common multiple

Step-by-step explanation:

4 0

3 years ago

Help please i will give brainlist

Feliz [49]

Answer:

Angle 1 is 67 and Angle 2 is 46

Step-by-step explanation:

5 0

3 years ago

.002 is 1/10 of what

amid [387]

Let the unknown number be x. Then (1/10)x = 0.002. To solve for x, multiply both sides by 1000 to remove the decimal fraction 0.002.

Then 1000(1/10)x = 1000(0.002), or 100x = 2. Dividing both sides by x returns

x=100/2, or x= 50 (answer)

5 0

3 years ago

What is the square root of 9537153

Dmitriy789 [7]

3088.22813276

hope this helps, you could've entered this into a calculator for next time.

3 0

3 years ago

Read 2 more answers