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
Nitella [24]
3 years ago
14

Help 15 points!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Svetllana [295]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan A = \frac{opposite}{adjacent} = \frac{BC}{AC} = \frac{7}{8} , then

∠ A = tan^{-1} (\frac{7}{8} ) ≈ 41° ( to the nearest degree )

The sum of the angles in the triangle = 180° , then

∠ B + 41° + 90° = 180°

∠ B + 131° = 180° ( subtract 131° from both sides )

∠ B = 49°

Using Pythagoras' identity in the right triangle

AB² = BC² + AC² = 7² + 8² = 49 + 64 = 113 ( take square root of both sides )

AB = \sqrt{113} ≈ 10.6 ( to the nearest tenth )

You might be interested in
To purchase $14,500 worth of restaurant equipment for his business, Hans made a down payment of $1800 and took out a business lo
Paul [167]

Answer:

hello your question is incomplete below is the complete question

To purchase $14,500 worth of restaurant equipment for his business, Hans made a down payment of $1800 and took out a business loan for the rest. After 2 years of paying monthly payments of $562.88. , he finally paid off the loan. What was the total amount  Dean ended up paying for the equipment ( including the down payment and monthly payments )

answer: $15309.12

Step-by-step explanation:

Initial cost of equipment = $14500

Down payment = $1800

cost of equipment = 14500 - 1800 = $12700

Monthly payment = $562.88

Therefore payment made after 2 years = ( 562.88 * 24 ) = $13509.12

<u>Total amount paid by Dean for the equipment </u>

= down payment + monthly payments

= $1800 + $13509.12

= $15309.12

3 0
3 years ago
What is the formula for dilation (the formula we've been using for the entire module)
strojnjashka [21]

Answer:

Starting with ΔABC, draw the dilation image of the triangle with a center at the origin and a scale factor of two. Notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). Dilations involve multiplication! Dilation with scale factor 2, multiply by 2.

Step-by-step explanation:

6 0
3 years ago
Justin is 2 years older than one-third Marissa's age Amy is 4 years older than two times Justin's age then find Justin's age and
Lana71 [14]
Yes I am pretty sure
6 0
3 years ago
Read 2 more answers
What's the answer need help!!
Nina [5.8K]
You want an answer that says the following...
She spent eleven (11) hours while working at the library which can be represented by p and she earned an amount of cash of at least one hundred forty (140) dollars.

The correct answer is choice D.
5 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through (4, -1) and (-2, 3)?
Rina8888 [55]
Y=mx+b

m=slope, b=y-intercept 

m=(y2-y1)/(x2-x1), b=value of y when x=0

m=(3--1)/(-2-4)

m=4/-6

m=-2/3, now we have:

y=-2x/3+b, we can solve for b using any point, I'll use (4,-1)

-1=-2(4)/3+b

-1=-8/3+b

-3/3+8/3=b

5/3=b so

y=-2x/3+5/3
3 0
3 years ago
Read 2 more answers
Other questions:
  • Given the function f(x) = 2^x, find the value of f^−1(32).
    9·1 answer
  • The area of a square is 64 square inches how long each side
    14·2 answers
  • Determine the most useful measure of center for each of the following situations.
    11·1 answer
  • Solve for x: 1/3x + 2/4 = 1/12​
    13·1 answer
  • How can I break apart 9 times 9
    11·2 answers
  • At what value of x does the graph of the following function F(x) have a
    6·1 answer
  • Help plz I need help i have no idea what to do
    12·2 answers
  • The coefficient of determination of a set of data points is 0.93 and the slope of the regression line is -5.26. Determine the li
    15·1 answer
  • H=(...-2,-10,1,2,...3what type of set is H
    11·1 answer
  • What is the solution to 3.25k + 1 – 4.25k = -2?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!