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
s2008m [1.1K]
3 years ago
9

Find the area of the figure

Mathematics
1 answer:
cupoosta [38]3 years ago
4 0

Answer:

<h2>A = 252</h2>

Step-by-step explanation:

It's a trapezoid.

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

b₁, b₂ - bases

h - height

<em>(look at the picture)</em>

Use the Pythagorean theorem to calculate the length <em>x</em>:

x^2+12^2=15^2

x^2+144=225            <em>subtract 144 from both sides</em>

x^2=81\to x=\sqrt{81}\\\\x=9

Substitute:

b_1=9+12+9=30\\b_2=12\\h=12

[tex]A=\dfrac{30+12}{2}\cdot12=(42)(6)=252[/txt]

You might be interested in
Find the equation, in standard form, of the line passing through the points
LuckyWell [14K]

Answer:

B

Step-by-step explanation:

To solve for the slope:

(2-(-3))/(4-2)=5/2

y=5/2x+b

plugin points:

2=5/2(4)+b

2=10+b

b=-8

so equation of the line is y=5/2x-8

and in standrd form its 5x-2y=16

6 0
2 years ago
Simplify negative 7 and 1 over 8 − negative 9 and 1 over 2
Kryger [21]

Answer:

You can put it into 3 forms:

Exact form: 19/8

Decimal Form: 2.375 (Rounded=2.38)

Mixed Number Form: 2 3/8

4 0
2 years ago
Read 2 more answers
I do not understand!!help please?!
blsea [12.9K]

Answer:

a. (3x^4 + 6 ) + (2x^2)

b. (X^3 ) + (-x -7)

c. (4.6x^4) + (-1.5x^2)

Step-by-step explanation:

For the first one, we have to write to polynomials, which equal 3x^4 + 2x^2 +6

One possible solution is (3x^4 + 6 ) + (2x^2)

For b, we can do,

(X^3 ) + (-x -7)

And finally for c, we can write,

(4.6x^4) + (-1.5x^2)

5 0
3 years ago
Someone help me with this.
Mandarinka [93]

Answer:

2x² + 13x + 15

Step-by-step explanation:

| 2x | 3

x | 2x*x = 2x² | 3*x = 3x

5 | 2x*5 = 10x | 3*5 = 15

We have, 2x² + 3x + 10x + 15

Combining like terms, we would have the final expression as:

2x² + 13x + 15

3 0
2 years ago
Questions. multiple choicw
jeyben [28]
11. 8 * 18 = 144 in³, Option D

12. Half the height of 8 cm is 4 cm. Volume = 4 * 6 * 10 = 240 cm³, Option D

13. Double the dimensions you get 8 cm for the height, 6 cm for the radius. Then plug in. V = pi * (6)² * 8 >> pi * 36 * 8 = 288pi or ≈ 904.78, Option C

14. Half of all the dimensions are 1 in, 4 in, and 3 in. 1 * 4 * 3 = 12 in³, Option B

15. \frac{10}{16} =  \frac{x}{18} >> 16x = 180 >> x = 11.25 so Option B

16. Option D, 10 cm.

17. Option C, 8.5 in

18. Option B. 10.2 km

19. Option D. 0.82

20. cos 30 = b / 11.5 >> b = 11.5(cos (30)) = 9.96 m, Option C. 
6 0
3 years ago
Other questions:
  • Prove that this equation have no solutions
    13·2 answers
  • × + 3 = 7 show how you got the answer
    12·2 answers
  • PLEASE HELP ME ASAP<br> PLEASE
    13·1 answer
  • Which describes the relationship between Angle 1 and Angle 2? Line C intersect angle A B D to form angles 1 and 2. Angle 1 and A
    7·2 answers
  • Write the next 3 numbers in this pattern. Then describe the rule for this pattern in an nth expression.
    12·1 answer
  • Solve for V . 7v-20=-6(v-1) Simplify your answer as much as possible.
    7·2 answers
  • What is x???????????
    6·1 answer
  • One month Justin rented 3 movies and 5 video games for a total of $39. The next month he rented 9 movies and 7 video games for a
    12·1 answer
  • Find the total surface area.
    15·1 answer
  • What is the value of x? 0 6x x+36° R T 830 870 S X =
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!