1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Hoochie [10]
4 years ago
8

Provide answers for part a,b, and c. Show work for part c.

Mathematics
1 answer:
schepotkina [342]4 years ago
6 0

Answer:

Step-by-step explanation:

PART A

The Pythagoras theorem is expressed as

Hypotenuse^2 = opposite side^2 + adjacent side^2

PART 2

The hypotenuse is the longest side of the triangle. Looking at the given triangle, the longest side is the side with the length of 7. Therefore, hypotenuse = 7

PART C

To determine x, we will apply the Pythagoras theorem as stated above.

Opposite side = √14

Adjacent side = x

Therefore

7^2 = x^2 + (√14)^2

49 = x^2 + 14

x^2 = 49-14 = 35

Taking square root of both sides of the equation, it becomes

x = √35

x = 5.92

You might be interested in
(b) Find the angle between u and v to the nearest degree.
yulyashka [42]

<u>Question 1 (b)</u>

<u />u \cdot v=11\\\\|u|=\sqrt{3^{2}+(-1)^{2}}=\sqrt{10}\\\\|v|=\sqrt{4^{2}+1^{2}}=\sqrt{17}

So,

\cos \theta=\frac{11}{\sqrt{10}\sqrt{17}}\\\\\theta=\cos^{-1} \left(\frac{11}{\sqrt{10}\sqrt{17}} \right) \approx \boxed{32^{\circ}}

<u>Question 2 (b)</u>

<u />u \cdot v=22\\\\|u|=\sqrt{5^{2}+2^{2}}=\sqrt{29}\\\\|v|=\sqrt{4^{2}+1^{2}}=\sqrt{17}

So,

\cos \theta=\frac{22}{\sqrt{29}\sqrt{17}}\\\\\theta=\cos^{-1} \left(\frac{22}{\sqrt{29}\sqrt{17}} \right) \approx \boxed{8^{\circ}}

6 0
2 years ago
12
Lady_Fox [76]

Given:

A car traveled 150 km in 3 hour.

To find:

The unit rate.

Solution:

We have,

Distance = 150 km

Time = 3 hours.

In this case speed is the unit rate.

Speed=\dfrac{Distance}{Time}

Substituting the given values, we get

Speed=\dfrac{150\text{ km}}{3\text{ hr}}

Speed=50\text{ km/h}

Therefore, the unit rate is 50 km/h.

4 0
3 years ago
What is the greatest common factor of 24 and 54
exis [7]

the gcf 24 and 54 is 6

  1. 24=2x2x2x3
  2. 54=2x3x3x3

therefore 2x3=6

5 0
4 years ago
Read 2 more answers
The amount of a radioactive material changes with time. the table below shows the amount of radioactive material f(t) left after
n200080 [17]
F(t)=(0.5)^t *180 is the answer because (0.5)^0=1   (0.5)^1=0.5   (0.5)^2=0.25

3 0
3 years ago
Read 2 more answers
Can u help me from 1-3 SHOWING all the work also please
Artist 52 [7]
The first question is this: the smallest square is square A, and that is 9 units. and square E is two times that, and so on.

Square A's side length is 9 units and the area is 81.
Square E's side length is 18 and the area is 324.
Square C's side length is 27 and the area is 729.
Square B's side length is 36 and the area is 1,296.
Square D's side length is 45 and the area is 2,025
7 0
3 years ago
Other questions:
  • In ABC, the angle bisectors meet at point D. Point E is on AC, DE and is perpendicular to AC . Point F is the location where the
    13·2 answers
  • A square painting has a diagonal of 44 in. Lorraine wants to frame the picture. How many inches of frame will she need? Round to
    14·1 answer
  • Explain how you can use a quick picture to find 3×2.7
    15·2 answers
  • What is 12/2? Answer for 10 points!!!
    6·2 answers
  • 24 = m - 15<br> Idk but please help me
    9·2 answers
  • (5x^2 - 3x)(8x^2 + 4x)
    12·1 answer
  • Question 27(Multiple Choice Worth 1 points)
    15·1 answer
  • The second angle of a triangle is twice as large as the first, and the third is three times as large as the first. Find the meas
    11·1 answer
  • <img src="https://tex.z-dn.net/?f=3x%5E%7B2%7D%20%2B8x-%2010" id="TexFormula1" title="3x^{2} +8x- 10" alt="3x^{2} +8x- 10" align
    6·2 answers
  • In constructing 98% confidence intervals for means, what do we expect will be true over the long run?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!