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
Colt1911 [192]
3 years ago
10

The area of a trapezoid is 216 in2 and it two bases are 14 and 22 inches long. Find the height of the trapezoid.

Mathematics
1 answer:
artcher [175]3 years ago
6 0

Answer:

12 inches

Step-by-step explanation:

The formula for a trapezoid is

A = 1/2(a +b)h

The formula to find the height =

h = 2A/a + b

A= 216 in²

a =14 in

b = 22 in

Hence,

h = 2 × 216/14 + 22

h = 12 inches

The height of the trapezoid = 12 inches

You might be interested in
Solve for x in the diagram.<br><br> <br><br>       A. 25   B. 15   C. 14   D. 37
s344n2d4d5 [400]
The answer is 15and not the others
6 0
3 years ago
Can someone please help me
AVprozaik [17]

Answer:

Lines RQ and SP are perpendicular to SR

Step-by-step explanation:

SR are parallel to PQ so that means that RQ and SP are perpendicular to SR

6 0
3 years ago
Cathy borrows $3280 at 0.3% simple interest per month. When Cathy pays the loan back 9 years later, what is the total amount tha
Lisa [10]
Answer:

Step-by-step explanation:
Interest formula -
I = P × R × T
I = 3,280 × 0.3% × 9
What I basically did there wws multiply the amount of money, the simple interest, and the time.
Turn 0.3% into a decimal by dividing by a 100 which should give you 0.003

I = 3,280 × 0.003 × 9

Put that into a calculator, you get $88.56

Now, that's just the interest amount. Now you add it back to 3,280 to get the *total* amount.

3,280 + 88.56 = 3,368.56

Cathy ends us paying $3,368.56

Hope what I said made sense.
5 0
2 years ago
A building 50 feet high casts a shadow 68 feet long. Find the measure of the angle of elevation of the sun. Round answer to near
Vedmedyk [2.9K]

Answer:

36 °

Step-by-step explanation:

In this case a rectangular triangle is formed so we can use the trigonometric functions to calculate the angle, they give us the value of the two legs, therefore we can apply the tangent function.

Tan A ° = opposite / adjacent

replacing:

Tan A ° = 50/68

Tan A ° = 0.735

A ° = arc tan (0.735)

A ° = 36.32

Which means that the angle of inclination is 36°

4 0
3 years ago
Analyze the diagram below and complete the instructions that follow.
valentinak56 [21]

Answer:

x = 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients/Degrees
  • Expand by FOIL (First Outside Inside Last)
  • Factoring
  • Multiple Roots

<u>Trigonometry</u>

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

  • a is a leg
  • b is another leg
  • c is the hypotenuse

Step-by-step explanation:

<u>Step 1: Identify</u>

<em>a</em> = x + 3

<em>b</em> = x

<em>c</em> = √117

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute [PT]:                                                                                                (x + 3)² + x² = (√117)²
  2. Expand [FOIL]:                                                                                                 x² + 6x + 9 + x² = (√117)²
  3. Combine like terms:                                                                                       2x² + 6x + 9 = (√117)²
  4. Exponents:                                                                                                      2x² + 6x + 9 = 117
  5. [SPE] Subtract 117 on both sides:                                                                    2x² + 6x - 108 = 0
  6. Factor out GCF:                                                                                               2(x² + 3x - 54) = 0
  7. [DPE] Divide 2 on both sides:                                                                         x² + 3x - 54 = 0
  8. Factor Quadratic:                                                                                            (x - 6)(x + 9) = 0
  9. Solve roots/solve <em>x</em>:                                                                                         x = -9, 6

Since we are dealing with positive values, we can disregard the negative root.

∴ x = 6

4 0
3 years ago
Other questions:
  • Find the 25th of sequence 3,5,7,9,11
    5·1 answer
  • Is -6.5 a rational number.<br><br> pls idk and I really need help
    13·2 answers
  • A granite block in the shape of a right rectangular prism has dimensions 30 centimeters by 40 centimeters by 50 centimeters. The
    15·1 answer
  • Ilsym!!!!! help thanks so much
    14·2 answers
  • Check image please help
    14·1 answer
  • if -2 is a root of the equation 3x2 +7x + p = 0, find the values of k for which the roots of the equation x2 + k(4x + k - 1) + p
    6·1 answer
  • Which of the following list the customary units of measurement for capacity from greatest to least?
    12·2 answers
  • Maura runs 5 miles in 1.25 hours.How many miles could she run in 5 hours?<br><br> I NEED HELP!!
    6·1 answer
  • Part a) Which animal is the fastest?<br> Part b) What is the speed of that animal?
    5·2 answers
  • Pls help I need explanation if u can
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!