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
klio [65]
3 years ago
8

Find the area of the trapezoid.

Mathematics
2 answers:
LuckyWell [14K]3 years ago
6 0
The area of the trapizoif is 97.5
solniwko [45]3 years ago
5 0

\bf \textit{area of a trapezoid}\\\\
A=\cfrac{h(a+b)}{2}~~
\begin{cases}
a, b=\stackrel{bases}{parallel~sides} \\
h=height\\[-0.5em]
\hrulefill\\
a=20\\
b=25\\
h=15
\end{cases}\implies A=\cfrac{15(20+25)}{2}
\\\\\\
A=\cfrac{15(45)}{2}\implies A=337.5

You might be interested in
The base of a pentagonal prism is regular with an apothem of 4 cm. The height of the prism is 16 cm. Find the volume of the pris
Georgia [21]

Answer:

volume ≈ 930 cm³ (nearest cubic cm)

Step-by-step explanation:

The base of the prism which is a pentagon is regular. The apothem which is a line drawn from the center to any side of the pentagon is 4 cm. The height of the prism is 16 cm.

The volume of a prism = Bh

where

B = base area

h = height of the prism

The base of the prism can be divided into 5 congruent triangles.But the base of the triangles is unknown.

The sum of interior angle of a pentagon is 540°. That means each angle is 108° . The triangle divide the angle into 2. Making the 2 base angle as 54° each. The last angle of the triangle at the center is 72°(remember sum of angle in a triangle is 180° which is 54° + 54° + 72° = 180°) .

The angle form the center can be divided by the line of height of the triangles. The angle will then be 36°. Using tangential ratio half of the length of the base of the triangle can be known. Therefore,

tan 36° = opposite/adjacent

tan 36° = opposite/4

opposite = 4 tan 36°

The full base of the triangles = 2(4 tan 36°)

area of each triangle = 1/2 × 2(4 tan 36°) × 4 = 16 tan 36°

Base area of the prism(pentagon) = 5 × 16 tan 36° = 80 tan 36°

Volume of the prism = Bh

where

h = 16 cm

B = 80 tan 36°

volume =  80 tan 36° × 16 = 1280  tan 36° = 1280  × 0.726542528

volume = 929.974435847  cm³

volume ≈ 930 cm³ (nearest cubic cm)

5 0
3 years ago
Kelly has 50% more money than Luis. Luis has $40. If Luis gets $8 more, will Kelly still have more money than Luis? What percent
OverLord2011 [107]

Answer:

Kelly will still have more money than Luis

Kelly will have 25% more

Step-by-step explanation:

Let x represent the amount of money Kelly has and y, Luis

Luis has $40

and Kelly has 50% more money than Luis

Therefore, Kelly has;

50% of $40 + $40

= 0.5*40 + 40

= $60

If Luis gets $8 more, Luis will have;

$8 + $40 = $48

since Luis' $48 is less than Kelly's $60, Kelly will still have more money than Luis

Difference in their money = $60 - $48 = $12

Therefore, Kelly will have;

12/48 * 100 more than Luis

= 25% more

8 0
3 years ago
Type a related division fact for 10 × 12 = 120.
Nikitich [7]

Answer:

120 divided by 10 is 12. 120 divided by 12 is 10.

3 0
2 years ago
Simplify the expression (x - 2y) + (3x + 4y)
CaHeK987 [17]

Simplifying the expression (x - 2y) + (3x + 4y).

Work:

(x - 2y) + (3x + 4y)

Combine like terms.

x + 3x = 4x

-2y + 4y = 2y

Reform the expression.

4x + 2y

Simplified Expression: 4x + 2y.

8 0
3 years ago
The graph of y= 1/2x + 6 represents a line. Which of the following is TRUE?
ehidna [41]

The expression y = 1/2x + 6 is written in slope-intercept form (y = mx + b) where m equals the slope and b equals the y-intercept. In this equation m = 1/2 and b = 6. So, the slope is 1/2 and the y-intercept is 6. The y-intercept is going to be on y-axis, so, its going to be written as (0, 6). The only option that is correct is [ The slope is 1/2 and the y-intercept is at the point (0,6) ]

Best of Luck!

5 0
3 years ago
Other questions:
  • There are 48 colored pencils in 4 boxes of colored pencils. Which of the following expresses the ratio of colored pencils to box
    8·2 answers
  • Find the percent of the number. 5% of 60
    10·1 answer
  • 2. Diamond has $350 in her bank account. She
    8·1 answer
  • When a number is reduced by 40%, the result is 36. What is the original number?
    15·2 answers
  • Can someone answers this question please master it correctly if it’s corect I will mark you brainliest
    12·1 answer
  • of the pumpkin seeds asian planted in his pumkin garden, 65% grew into mature plants. If adian had 26 pumpkins in his garden, ho
    9·1 answer
  • Can someone help and give me a step by step explanation please?!
    11·1 answer
  • Heyyy wanna help mee
    12·2 answers
  • Factor the trinomial 5x2+16x+12
    10·1 answer
  • Perform the indicated operation.<br> f(n) = 4n - 5, g(n) = n^2 - 5<br> Find: (f - g) (n)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!