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
andrey2020 [161]
3 years ago
13

What type of triangle has side lengths 9, 10, and √130? A. obtuse B. not a triangle C. acute D. right

Mathematics
1 answer:
EastWind [94]3 years ago
3 0

Answer: Option C.

Step-by-step explanation:

The lengths of our triangle are:

9, 10 and √130.

If the triangle is a triangle rectangle, by the Pitagoream's theorem we have:

A^2 + B^2 = H^2

in this case H is the larger side, this must be √130.

then:

A and B must be 9 and 10.

9^2 + 10^2 = (√130)^2

81 + 100 = 130

This is false, so this is NOT a triangle rectangle, the hypotenuse is shorter than it should be.

Now, we have some kind of rule:

 if A^2 + B^2 = H^2 then we have one angle of 90° and two smaller ones. (triangle rectangle)

 if A^2 + B^2 > H^2 then all the angles are smaller than 90°, this is an acute triangle.

 if A^2 + B^2 < H^2 then we have one angle larger than 90°, this is an obtuse angle.

(H is always the larger side, A and B are the two shorter ones).

In this case:

81 + 100 > 130

Then this must be an acute angle.

You might be interested in
2.25(a+1.3)=20.7 what is the value of a ? ​
Gnom [1K]

Answer:

7.9

Step-by-step explanation:

4 0
3 years ago
Using a spreadsheet program, create an amortization schedule for a 30-year mortgage of $500,000 at an annual interest rate of 4.
madreJ [45]

This exercise requires the ability to create Amortization Schedules Using a Spreadsheet program. Based on the information given about the Amortization of the loan, the principal payable per month became greater than the interest payable per month on the 159th month (given that the loan amount is $500,000.

<h3>In which month does the amount of principal in a monthly payment first exceed the amount of interest?</h3>

The amount of principal in a monthly payment first exceeds the interest payment In 159th Month. The interest on this month is $1, 248.39 while the principal on this month is $1, 205.46.

It is to be noted that when a loan is taken, the constituents of the amounts being paid back is the Principal and part of the interest on the loan.

<h3>How do you Calculate Amortization of Loans?</h3>

The yearly interest rate must be divided by 12.

Your monthly interest rate, for instance, will be 0.3525 percent if your annual interest rate is 4.23 percent (0.0423 annual interest rate x 12 months).

Additionally, you'll add 12 to the number of years remaining on your loan term.

<h3>How much interest is repaid for the term of the loan?</h3>

The total amount of interest that is paid for the term loan is $383,385.54

<h3>If the loan amount was $750,000 instead of $500,000, would the month in which the amount of principal in a monthly payment first exceeded the amount of interest change?</h3>

Yes it would change. It would change to the 165th month. In this month, the interest paid is $1, 834.00 while the principal paid back is $1,846.77. See the attached image for answer C.

Learn more about Amortization at;
brainly.com/question/10561878
#SPJ1

3 0
1 year ago
consider the polynomial equation x(x-3)(x+6)(x-7)=0. which of the following are zeros of the equation? select all that apply.
o-na [289]
The zeros are 0, 3, -6 and 7.
7 0
3 years ago
John went to a friend’s house to spend his free time in an evening. Which unit of measure should be used to find the distance be
asambeis [7]

Answer:

miles

Step-by-step explanation:

4 0
3 years ago
Graph the line that has a slope of 1/4 and includes the point (0,8)
Alex787 [66]

Step-by-step explanation:

Equation of line:

y = mx + c

where m is the slope

and c is the y-intercept (the value of y when x = 0)

In this case, given the slope = 1/4

and y-intercept is 8 (from the point (0,8))

The equation of the following line is:

y =  \frac{1}{4} x + 8

3 0
2 years ago
Other questions:
  • Let p: x &lt; −3 Let q: x &gt; 3 What is represented by p ∨ q?
    10·2 answers
  • What is 7.8×1057.8×105 hours in days?
    5·1 answer
  • The interior angles formed by the sides of a hexagon have measures that sum to 720 degrees. What is the measure of angle F?
    8·2 answers
  • Pepper jackie has 12 picks 1 out of every 4 picks is orange the rest are green how many picks are orange
    11·2 answers
  • One fourth of a number is 12 find the number​
    15·2 answers
  • Can someone plz help me i am confused :)
    12·2 answers
  • Select each equation that the number 103 makes true.
    5·1 answer
  • In the triangle below, find the measurements of the unknown angles. A. 75º, 105° B. 40°, 80 c. 5° 10° D. 250 50 E. 35°, 70​
    8·1 answer
  • In a probability experiment, Craig rolled a six-sided die 64 times. The die landed on a number greater than three 39 times. What
    13·1 answer
  • A Big Mac at McDonald’s costs $3.99. A 10pc. chicken nugget costs $4.49. How much would it cost if you bought (2) Big Mac’s and
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!