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alex41 [277]
3 years ago
5

Ed is on a road trip. He has already traveled 203 miles and is driving at a rate of 63 miles per hour. Which equation could be u

sed to find how many hours, x, Ed has left in his road trip if he is traveling 693 total miles?
A. 203x + 63 = 693
B. 63x + 693 = 203
C. 63x + 203 = 693
D. 203x + 693 = 63
Mathematics
1 answer:
valina [46]3 years ago
6 0

C. 63x + 203 = 693 would be the answer

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Please help me please
ioda
Use the pythagorean theorem:

a^2 + b^2 = c^2

plug in the given values:

0.7^2 + b^2 = 2.5^2

simplify:

0.49 + b^2 = 2.5^2

0.49 + b^2 = 6.25

b^2 = 5.76

b = √5.76

b = 2.4

the answer is 2.4 miles
4 0
3 years ago
Given points A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1), which of the following proves that
damaskus [11]

Similar triangles may or may not have equal side lengths

Triangles ABC and DEF are similar by SSS theorem

<h3>How to determine the similarity statement</h3>

The coordinates of the two triangles are:

A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1)

Calculate the lengths of both triangles using the following distance formula

d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}

For triangle ABC, we have:

AB = \sqrt{(0 -4)^2 + (0 -0)^2} = 4

BC = \sqrt{(4 -0)^2 + (0 -2)^2} = 2\sqrt 5

CA = \sqrt{(0 -0)^2 + (0 -2)^2} = 2

For triangle DEF, we have:

DE = \sqrt{(0 -2)^2 + (0 -0)^2} = 2

EF = \sqrt{(2 -0)^2 + (0 -1)^2} = \sqrt 5

FD = \sqrt{(0 -0)^2 + (1 -0)^2} = 1

Divide corresponding sides of the triangles to calculate the scale factor k

k = \frac{AB}{DE} = \frac{BC}{EF} = \frac{CA}{FD}

This gives

k = \frac{4}{2} = \frac{2\sqrt 5}{\sqrt 5} = \frac{2}{1}

Evaluate the quotients

k = 2 = 2 = 2

Since the quotients are equal, then the triangles are similar

Hence, triangles ABC and DEF are similar by SSS theorem

Read more about similar triangles at:

brainly.com/question/14285697

3 0
2 years ago
According to the National Association of Realtors, the mean sale price for existing homes in the United States in 2011 was $214,
Free_Kalibri [48]
<h3>Answer: 49.85% (second answer choice)</h3>

===========================================

Explanation:

mu = 214300 = population mean of home values

sigma = 41000 = population standard deviation of home values

Compute the z score for the raw score x = 91300

z = (x-mu)/sigma

z = (91300-214300)/41000

z = -123000/41000

z = -3

This tells us the raw score x = 91300 is exactly 3 standard deviations below the mean.

--------------------------

Compute the z score for the raw score x = 214300

z = (x-mu)/sigma

z = (214300-214300)/41000

z = 0/41000

z = 0

This is expected as the raw score x = 214300 is exactly at the mean

--------------------------

Finding P(91300 < x < 214300) is equivalent to computing P(-3 < z < 0)

Recall that the empirical rule states roughly 99.7% of the distribution is within 3 standard deviations of the mean.

In terms of an equation, this means P(-3 < Z < 3) = 0.997 approximately.

Cut 99.7% in half to get (99.7%)/2 = 49.85%

So, P(-3 < Z < 0) = 0.4985 approximately.

4 0
3 years ago
1. Two fifths of the 90 students were males. How many students were male?
slavikrds [6]

Answer:

73

Step-by-step explanation:

shhshdbdhysgvsvvshgvsvdvjsuzvsvvsvssygs

4 0
3 years ago
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There are 48 pounds of apples in a bushel. If apple pickers pick 320 pounds of apples, how many bushels are there and how many p
34kurt
There are 6 bushels and 6 pounds of apples.. 
5 0
3 years ago
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