45 Points!
The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below.

A scientist measures the angle x and the distance y between the Earth and the Sun. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the moon and
the Sun.

Answer: x = 103

Step-by-step explanation:

this is a 90 degree angle indicated by the box in the corner of the angle.

90 degree angles total 90 degrees.

X - 15 + 2 = 90

move the numbers to the other side of the equal sign to isolate the X

by doing the opposite

x = 90 + 15 -2

x = 103

check your work, X - 15 + 2 = 90

103 - 15 + 2 = 90

answer is correct

Answer:

B

Step-by-step explanation:

Divide y by x for each ordered pair:

2/4 = 1/2

3/6 = 1/2

5/10 = 1/2

7/14 = 1/2

All ratios are equal, so it is proportional.

Answer: B

Answer:

b

Step-by-step explanation:

mark brainliest

Answer:

b o a h d

Step-by-step explanation:

1*5 3%9 46% &45 that is the answer

To determine the equation of a circle, use the standard form of a circle (x - h)² + (y - k)² = r² where,

Substitute the values of the center and radius to the standard form.

Given:

(0, 0) - center

2 - radius

Answer:

Wxndy~~

Answer:

-4x

Step-by-step explanation:

((-3x-4+y) + (4x-y)) - (5x-4)
= (-3x-4+y+4x-y) - 5x+4
= (x-4) -5x+4
=x-4-5x+4
=-4x

Answer:

1000

Step-by-step explanation:

Hello!

10³ can be expanded to 10 x 10 x 10

Multiplying it out, we get 1000.

When multiplying by 10 you basically add a zero to the end, so we add 3 zeroes in total, which gives us 1000.

Warning! [tex]x^y[/tex] is not [tex]x*y[/tex]. A very common error.

Instead, picture it as we are multiplying "x" by itself for "y" number of times.

I appreciate your kind comments!

Using it's concept, it is found that there is a 0.5 = 50% probability that one of the fair number cubes is a 1.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The outcomes of the pair of cubes that result in a sum of 5 are as follows:

(1,4), (2,3), (3,2), (4,1).

Of those 4 outcomes, 2 involve a number 1, hence the probability is given by:

p = 2/4 = 0.5.

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Answer:

dhususbdgdg

Step-by-step explanation:

hdhakuxtsjwkbevdvsiw in e

26,460 cans of soda

Step-by-step explanation:

First times 9 and 5 together then times 7 with it then times 14 then times 6 and you should end up with 26,460

The match of the expressions are:

The numbers are products of 10.

This means that the numbers can be represented as exponents, where the base is 10 and the exponent is the number of zeros.

Using the above highlight, we have:

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Answer:

f(x)

Step-by-step explanation:

f(x) is a little represented number after solving for x but

f(x)=2x-3 is more bigger

RATIO OF 338 : 508

=> 169 : 254

Their property tax would be =$ 26,460

A mill is one-thousandth of a dollar, and in property tax terms is equal to $1.00 of tax for each.

Therefore 27 mills = $27 for every $1,000 of assessed value, or 2.7%.

To calculate the property tax would

= 27/100× 98,000

= 2646000/100

=$ 26,460

Therefore, Their property tax would be =$ 26,460

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The probability that the second ball drawn is black is 4/10 = 2/5

There are two cases. The case where the first ball is red is the first one.

The probability of drawing a red ball is equal to the quotient between the number of red balls and the total number of balls.

p = 3/5

Then, the probability of drawing a black ball in the second attempt is computed in the same way, but because we already drew a ball, now the total number of balls is 4, so we have:

q = 2/4 = 1/2.

So the joint probability is:

P = (3/5)*(1/2) = 3/10.

Then we have the case where both balls are black, the probabilities now are:

p = 2/5

q = 1/4

So the joint probability is:

P = (2/5)*(1/4) = 1/10

The total probability is the sum of the two above:

probability = 3/10 + 1/10 = 4/10.

The probability that the second ball drawn is black is 4/10 = 2/5

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Answer:

2/3

Step-by-step explanation:

To add fractions add the numbers on top to each other and leave the bottom numbers alone if they are the same number.

[tex]\frac{1}{3}+\frac{1}{3}=\frac{1+1}{3}=\frac{2}{3}[/tex]

Answer:

2 out of seven or 2/7 or 28.5%

Step-by-step explanation:

there are two "yeses" out of 7 total choices

The whole trip was 0.185 Km or 185 m long.

Speed is the time rate at which an object is moving along a path.

Given:

For 7/3 hours speed is = 60 mph = 0.06 kmph

For 40 minutes or 2/3 hours = 0 mph

for 1 hours = 45 mph  or 0.045 kmph

The total distance she travels

= 7/3*0.06+ 2/3*0+ 1*0.045

=0.185 Km or 185 m

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Based on the number of children and tricycle wheels, the ratio of children to tricycle wheels is 10 : 18

Total wheels of tricycle = Number of tricycles × Number of wheels per tricycle

= 6 × 3

= 18 wheels

Ratio of children to tricycle wheels = 10 : 18

= 5 : 9

Therefore, the ratio of children to tricycle wheels is 10 : 18

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Answer:

Circumference: 25.12m

Area: 50.24 [tex]m^{2}[/tex]

Step-by-step explanation:

Formula for circumference of a circle: C=[tex]\pi d[/tex] or C=[tex]2\pi r[/tex] since the diameter is double the radius

C=3.14*2*4=3.14*8=25.12

Formula for area of a circle: A=[tex]\pi r^{2}[/tex]

A=3.14*[tex]4^{2}[/tex]=3.14*4*4=3.14*16=50.24

B. x^9

just simplify

The equation of the scatter plot is (a) y = 100x + 2

The line of best fit of the scatter plot passes through the points

(x,y) = (0,2) and (1,102)

Start by calculating the slope using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{102 - 2}{1 - 0}[/tex]

m = 100

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = 100(x -0) + 2

Evaluate

y = 100x + 2

Hence, the equation of the scatter plot is (a) y = 100x + 2

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Answer:

Step-by-step explanation:

From the information,we get:

Two stacks of books together are = 7 1/2 inches tall.

One stack is given,that is = 4 3/4 inches.

To Find:

Solution:

Let us assume that the other height of the book be x.

Then the equation will be:

[tex] 4\cfrac{3}{4} + x = 7\cfrac{1}{2} [/tex]

Convert the mixed fractions to fractions:

[tex] \implies \: \cfrac{19}{4 } + x = \cfrac{15}{2} [/tex]

Subtract 19/4 from both sides:

[tex] \implies \: x + \cfrac{19}{4} - \cfrac{19}{4} = \cfrac{15}{2} - \cfrac{19}{4} [/tex]

[tex] \implies \: x = \cfrac{11}{4} =\boxed{ 2 \cfrac{3}{4} \rm \: inches}[/tex]

Hence, we can conclude that:

The height of the other book is 2 3/4 inches.

Answer:

downwards

Step-by-step explanation:

the equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

• if a > 0 then parabola opens upwards

• if a < 0 then parabola opens downwards

for

f(x) = - 4(x - 3)² + 9 with a = - 4 < 0 , then

the parabola opens downwards

The mistake is made in the second step. The correct steps are given below.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Wilma estimates that she’ll drive about 18,000 miles during the year.

The car she wants to purchase gets an average of 24 miles per gallon, and the average cost per gallon of gas in her neighbourhood is $2.72.

Locate the error in her calculations, and select the correction.

Step - 1

18000 miles/year

18000 miles / 12 months = 1500 miles/month

Step 2

1500 miles/month

1500 miles/month / 24 miles per gallon = 62.5 gallons/month

62.5 gallons/month

Step 3

(62.5 gallons/month) x ($2.72/gallons) = $170 cost/month

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Using the Empirical Rule, it is found that the mean is of 64 inches and the standard deviation is of 3.2 inches.

It states that, for a normally distributed random variable:

The normal distribution is symmetric, hence the mean is given by:

M = (57.6 + 70.4)/2 = 64.

57.6 is two standard deviations below the mean, hence the standard deviation is found as follows:

57.6 = 64 - 2s.

2s = 6.4

s = 3.2.

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Answer:

50

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

angle ABC=angle ADC

angle BAC=angle DCA

AC=CA