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3 years ago

What is 0.07 10 times as much as

1 answer:

5 0

0.07 is 10 times as much as 0.007.

Because is means equal in mathematics
times means multiplication

so we can make:

0.07 = 10x
x = <span>0.007</span>

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Wilbert needs a student loan to finish school. He needs $4200 and has two options.

olga nikolaevna [1]

Answer:

A) 4596.96

B) 4511.16

Step-by-step explanation:

5 0

3 years ago

Find the equation of the sphere if one of its diameters has endpoints (-8, -3, -10) and (-6, 1, -4) which has been normalized so

alex41 [277]

Answer:

The equation is $x^2 + y^2 +z^2 + 14 x + 3y \ + 14z + 86.25=0$

Step-by-step explanation:

From the question we are told that

The diameter endpoints is (-8, -3, -10) and (-6, 1, -4)

Generally the equation of a sphere with center coordinates (a, b , c ) and radius r is mathematically represented as

$(x - a )^2 + (y -b )^2 + (z -c)^2 = r^2$

Now since we are given the endpoints of the diameter then we can obtain the center coordinates as follows

$(a, b , c) = [ \frac{ -8 +(-6)}{2} , \frac{-3 + (1)}{ 2} , \frac{ -10 + (-4)}{2} ]$

$(a, b , c) = [ -7 , -1.5 , -7 ]$

Now the length of the diameter is evaluated as

$|d| = \sqrt{ (-8 - (-6 ))^2 + ( -3 - (1) )^2 + ( -10 - (-4))^2 }$

$|d| = \sqrt{56 }$

$|d| = \sqrt{4 * 14 }$

$|d| = 2 \sqrt{ 14 }$

Now the radius is mathematically represented as

$r = \frac{|d|}{2}$

$r = \frac{ 2 \sqrt{14} }{2}$

$r = \sqrt{14}$

$(x - -7 )^2 + (y --1.5 )^2 + (z --7)^2 = ( \sqrt{14} )^2$

$(x +7 )^2 + (y +1.5 )^2 + (z +7)^2 = 14$

$x^2 + 14 x + 49 + y^2 + 3y + 2.25 +z^2 14z + 49 = 14$

$x^2 + y^2 +z^2 + 14 x + 3y \ + 14z + 86.25=0$

4 0

4 years ago

Write -70.075 as a mixed number.

Andrew [12]

Answer:

-70.075

Step-by-step explanation:

it's answer hope it helps you

4 0

3 years ago

Martin rode his bike 60 miles in 5 hours what was the average distance he travled per hour?

ser-zykov [4K]

Answer:12 miles per hour

Step-by-step explanation:

60miles/5hours =12 miles per hour

5 0

3 years ago

In triangle ABC shown, DE || AC. What is the length of AC?

Aliun [14]

Answer:

AC = 20

Step-by-step explanation:

Δ BDE and Δ BAC are similar, so the ratios of corresponding sides are equal, that is

$\frac{AC}{DE}$ = $\frac{BA}{BD}$ , substitute values

$\frac{AC}{8}$ = $\frac{10}{4}$ ( cross- multiply )

4AC = 80 ( divide both sides by 4 )

AC = 20

4 0

3 years ago

Read 2 more answers