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3 years ago

Caroline's car used 16 gallons to travel 544 miles. How far can she travel on 9 gallons?

Mathematics

1 answer:

kicyunya [14]3 years ago

8 0

Answer:

306 gallons

Step-by-step explanation:

Caroline traveled 544 miles on 16 gallons. We do some simple math and divide 544/16 and receive 34 miles/gallon. All we do now is multiply 34 * 9 and we receive 306 gallons.

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Please help if you understand!! I hope everyone has a great day or is having a great day

Monica [59]

Answer:

Firstly, notice the relationship the two triangles have. They have conjoining ends that form vertical angles (looks like a middle x). Vertical angles are equivalent in measure of degrees.

Secondly, notice that the triangle on the right side is a right triangle. One of its angle's measurements are also given; 40 degrees. If you know that the sum of a triangle's angles equal 180 degrees, then simply subtract the known angles measurements from 180.

180-(90+40)= 180-130=50.

Therefore, the vertical angles measurement is equivalent to 50 degrees.

Apply the principle of the sum of all angles in a triangle equivalent to 180 degrees to the left triangle, and you will be able to find the measurement of the "?" angle.

180-(50+25)= 180-75=105

SO HERE IS YOUR ANSWER= 105 degrees is the value of the angle marked with a "?"

I hope you are having a great day too;)!

8 0

3 years ago

Read 2 more answers

What is the square root of 25<br><br>a.4<br>b.21<br>c.10<br>d.1

photoshop1234 [79]

the square root of 25 is 5

5x5=25

5 0

3 years ago

Read 2 more answers

Emir is standing in a treehouse and looking down at a swingset in the yard next door. The angle of depression from Emir's eyelin

boyakko [2]

<h3>Answer: 24 feet (Choice D)</h3>

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

Explanation:

Refer to the diagram below. The goal is to find x, which is the horizontal distance from the base of the tree to the swing set.

Focus on triangle BCD.

The angle B is roughly 30.26 degrees, and this is the angle of depression. This is the amount of degrees Emir must look down (when starting at the horizontal) to spot the swing set.

We know that he's 14 ft off the ground, which explains why AB = CD = 14.

The goal is to find BC = AD = x.

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

Again, keep your focus on triangle BCD.

We'll use the tangent ratio to say

tan(angle) = opposite/adjacent

tan(B) = CD/BC

tan(30.26) = 14/x

x*tan(30.26) = 14

x = 14/tan(30.26)

x = 23.9965714046732

That value is approximate. Make sure your calculator is in degree mode.

That value rounds to 24 feet when rounding to the nearest whole foot.

6 0

3 years ago

Please help me out with this so I can keep my kitten.

notka56 [123]

Answer:

$y = \frac{32}{3}$

Step-by-step explanation:

Firstly, move over the negative 3/4 fraction (don't forget to swap the operation i.e subtract to add):

$\frac{y}{8} = \frac{7}{12} + \frac{3}{4}$

Now, to add the two fractions, simply multiply the numerator and denominator by 3:

$\frac{3*3}{4*3} = \frac{9}{12}$

Now add this to the other fraction:

$\frac{9}{12} + \frac{7}{12} = \frac{16}{12}$

This can be simplified down by dividing both the numerator and denominator by 4:

$\frac{4}{3}$

Which now simplifies the original equation to:

$\frac{y}{8} = \frac{4}{3}$

Remove the y out of the fraction:

$\frac{1}{8}y = \frac{4}{3}$

Now multiply both sides by 8:

$(\frac{1}{8}y) * 8 = (\frac{4}{3}) * 8$

$y = \frac{4*8}{3}$

$y = \frac{32}{3}$

Hope this helps!

5 0

3 years ago

Read 2 more answers

The population of kansas city, missouri was 435,000 in 1990 and 482,300 in 2005. if the population is changing linearly, write a

Jlenok [28]

Find the slope of the line connecting (1990,435000) and (2005,482300):

482300-435000 47300
m = ----------------------- = ---------------- = 3153/yr (approx)
2005 - 1990 15 yr

Use the point-slope formula to find the equation of this str. line:

y-435000 = (3153/yr)(x-1990)

The year 2020 is 30 years after 1990. Thus, the expected pop in 2020 is

given by y-435000 = 3153(30) = 94590, so that y = 529590.

4 0

3 years ago

Caroline's car used 16 gallons to travel 544 miles. How far can she travel on 9 gallons? ​

Caroline's car used 16 gallons to travel 544 miles. How far can she travel on 9 gallons?