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3 years ago

5. The distance from Earth to the moon is about 240,000 mi. That is about

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

5 0

Answer:

= 2.3988 x 10^12

Step-by-step explanation:

240,000 million distance to moon = 2.4 × 10^11 (x10)

1 - 0.005 = 0.995 (x10) = 9.995 multiplier.

= 9.995 x 2.4 = 23.988

= 2.3988 x 10^12 distance to Mars

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How many real solutions will y=x^2 and y=-2x have? what are the solutions?

kogti [31]

Answer:

there is none

Step-by-step explanation:

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3 years ago

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There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same sta

Morgarella [4.7K]

Answer:

a) rCn = 1176

b) 2352

Step-by-step explanation:

a)Each committee should be formed with 3 members ( no two members could be of the same state) then

Let´s fix a senator for any of the 50 states so in the new condition we need to combined 49 senators in groups of 2 then

rCn = n! / (n - r )! *r!

rCn = 49!/ (49 - 2)!*2!

rCn = 49*48*47! / 47!*2!

rCn = 49*48 /2

rCn = 1176

So we can choose in 1176 different ways a senator for a given state

b) To answer this question we have to note, that, 1176 is the number of ways a committee can be formed with senators of different sate (taking just one senator for state ) if we have 2 senators we need to multiply that figure by 2.

1176*2 = 2352

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3 years ago

In AABC the measure of angle A is 2x + 3, the measure of angle B is4x + 2. and the measure of angle C is 2x - 1. What are the me

hram777 [196]

Answer:

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3 years ago

Find the value of x and then the measure of Arc XYZ and Arc XZ. Show work on a piece of paper.

Westkost [7]

Given:

The measure of arc XY is (31x)°

The measure of arc YZ is (35x - 16)°

We need to determine the value of x, measure of arc XYZ and arc XZ.

Value of x:

From the figure, it is obvious that the arcs XY and YZ are congruent.

Thus, we have;

$31x=35x-16$

Subtracting both sides by 35x, we have;

$-4x=-16$

$x=4$

Thus, the value of x is 4.

Measure of arc XYZ:

The measure of arc XYZ is given by

$m \widehat{XYZ}=m \widehat{XY}+m \widehat{YZ}$

The measure of arc XY is given by

$m \widehat{X Y}=31(4)=124^{\circ}$

The measure of arc YZ is given by

$m \widehat{Y Z}=35(4)-16=124^{\circ}$

Hence, the measure of arc XYZ is given by

$m \widehat{XYZ}=124^{\circ}+124^{\circ}=248^{\circ}$

Therefore, the measure of arc XYZ is 248°

Measure of arc XZ:

The measure of arc XZ is given by

$m \widehat{XZ}=360^{\circ}-m \widehat{XYZ}$

Substituting the values, we have;

$m \widehat{XZ}=360^{\circ}-248^{\circ}$

$m \widehat{XZ}=112^{\circ}$

Thus, the measure of arc XZ is 112°

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3 years ago

Evaluate 10 m +\frac {n^2}410m+ 4 n 2 10, m, plus, start fraction, n, start superscript, 2, end superscript, divided by, 4, en

DerKrebs [107]

Evaluate the expression $10m + \frac{n^2}{4}$ where m=5 and n=4

We replace the value of m and n to evaluate

m=5 and n=4

$10m + \frac{n^2}{4}$

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$50 + \frac{16}{4}$

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The value of the given expression is 54 when m=5 and n= 4

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3 years ago