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Ad libitum [116K]
2 years ago
7

Help please!!!! final exam

Mathematics
1 answer:
LiRa [457]2 years ago
6 0

Answer:

The Rate is 22.5 mph

The distance it traveled was 240 mph

Step-by-step explanation:

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This question is from the similarity chapter. It would be really kind of you if you would answer this question.
katen-ka-za [31]

Answer:

a) 1650 m

b) 1677.05 m

Step-by-step explanation:

Hi there!

<u>1) Determine what is required for the answers</u>

For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.

For part B, we're asked to solve for the length of the road, or the length of AB.

<u>2) Prove similarity</u>

In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).

How do we know they're similar?

  1. Angles AYX and ACB are corresponding and they both measure 90 degrees
  2. Both triangles share angle A

Therefore, the two triangles are similar because of AA~ (angle-angle similarity).

<u>3) Solve for part A</u>

Recall that we need to find the length of AC.

First, set up a proportion. XY corresponds to BC and AY corresponds to AC:

\frac{XY}{BC}=\frac{AY}{AC}

Plug in known values

\frac{2}{300}=\frac{11}{AC}

Cross-multiply

2AC=11*300\\2AC=3300\\AC=1650

Therefore, the road will rise 300 m over a horizontal distance of 1650 m.

<u>4) Solve for part B</u>

To find the length of AB, we can use the Pythagorean theorem:

a^2+b^2=c^2 where c is the hypotenuse of a right triangle and a and b are the other sides

Plug in 300 and 1650 as the legs (we are solving for the longest side)

300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c

Therefore, the length of the road is approximately 1677.05 m.

I hope this helps!

3 0
3 years ago
What are the two solutions of 2x^2 = -X^2 - 5x - 1?
Sidana [21]

Answer:

Step-by-step explanation:

Let's solve 2x^2 = -X^2 - 5x - 1.  Consolidate all terms on the left side and write 0 on the right side:

3x^2 + 5x + 1 = 0.  This is a quadratic equation.  Let's solve it for x using the quadratic formula:

a = 3, b = 5, c = 1, and so the discriminant is b^2 - 4ac = 5^2 - 4(3)(1) = 13.  Because the discriminant is positive, we know that there are two distinct, real roots; the graphs of y = 2x^2 and y = x^2 - 5x - 1 intersect in two places whose x-coordinates are the real roots mentioned above.

Answer A is not correct as stated, but would be correct if we were to replace "the y-coordinates" with "the x-coordinates."  

Answer C would be correct if and only if we write y = x^2 - 5x - 1.

6 0
3 years ago
28 miles ran in 5<br> hours
sergejj [24]

Answer: 5.6 miles per hour

Step-by-step explanation:

4 0
3 years ago
The formula W=0.86g^2-0.01g+5.9 models the weight, W, in ounces, for a cat who is fed g grams per day of a special food. Accordi
RUDIKE [14]

Using the equation which models weight of cat in terms of amount of food fed, the weight of the cat will be : 151.11 ounces

<u>Given the equation</u> :

  • W=0.86g² - 0.01g +5.9

  • <em>g = Amount of food in grams </em>

<u>Substituting g = 13 into the equation</u> :

W = 0.86(13)² - 0.01(13) +5.9

W = 0.86(169) - 0.13 + 5.9

W = 145.34 - 0.13 + 5.9

W = 151.11 ounces

Therefore, the weight of the cat will be 151.11 ounces

Learn more : brainly.com/question/18796573

7 0
2 years ago
Can someone PLEASE help me solve this ive been stuck on it for half an hour
padilas [110]

baloon poodle requires 1 and giraffe requires 3 balloons.

i really hope this is the correct answer, sorry if I'm wrong.

if you want/need an explanation you can ask me and I'll explain how i did it

3 0
2 years ago
Read 2 more answers
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