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
aivan3 [116]
3 years ago
9

What is the area of an isosceles trapezoid if the length of its shorter base is 18 cm, the length of an altitude is 9 cm, and th

e measure of the acute angle is 45º.

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
7 0
Check the picture below.

since we know the acute angle is 45°, that angle with the bottom base and the slanted line and the altitude make a 45-45-90 triangle, and thus we can get the value of that section at the bottom, as you see in the picture, thus the longer base is 9 + 18 + 9, or 36.

\bf \textit{area of a trapezoid}\\\\
A=\cfrac{h(a+b)}{2}~~
\begin{cases}
a,b=\stackrel{bases}{parallel~sides}\\
h=height\\
---------\\
a=18\\
b=36\\
h=9
\end{cases}\implies A=\cfrac{9(18+36)}{2}
\\\\\\
A=\cfrac{9(54)}{2}\implies A=243

You might be interested in
What is the domain of the function shown in the graph?​
masha68 [24]

Answer:

(-∞, ∞)

Step-by-step explanation:

The domain of a function is the set of all possible input values (x-values).

An asymptote is a line that the curve gets infinitely close to, but never touches.

The arrows on either end of a graphed curve show that the function <u>continues indefinitely</u>.  Therefore, we cannot assume there is an asymptote at x = -3 as we cannot see what happens to the curve as x approaches -∞.

Therefore, the domain of the given function is unrestricted:

  • Solution:  { x | -∞ < x < ∞ }
  • Interval notation:  (-∞, ∞)
4 0
1 year ago
Read 2 more answers
How do you work out this problem?<br><br>3x+15=66
vivado [14]

3x + 15 = 66

<u>      -15    -15</u>

3x =  51

Divide 51 by 3 which equals 17.

4 0
3 years ago
Read 2 more answers
Create an item with a selling price over $100 a discount of 25% and tax is 9%
Lana71 [14]

First, convert the 25% to a real mathematical number. For percents, this is always done by dividing the 25% by 100%, or 25% / 100% = 0.250.

Second, find out what 25% of $100 is. This is the amount of the sale discount. This is always found by mulitplying 0.250 by the item's cost $100, like this:

0.250 x $100 = $25.00.

So for this sale, you'll save $25.00 on this item.

This means, the cost of the item to you is

$100 - $25.00 = $75.00.

Alternatively, you can think about it this way. The item is 25% off. This means you'll pay 75.000% of the total cost (100% - 25% = 75.000%).

Now what's 75.000% of the total cost?

0.750 x $100 = $75.00.

Just like the result above, the sale price on the item is $75.00.

Hope this helps you on your assignment! :)

5 0
2 years ago
$35.24<br> with a<br> 20% tip
adelina 88 [10]
$42.29
Multiply $35.24 by .2 and add that to the original bill.
4 0
3 years ago
Read 2 more answers
If h = 9 units and r = 5 units, then what is the volume of the cone shown above?
dexar [7]

Answer:

Answer = 235.5

Step-by-step explanation:

Cone volume formula is V = 1/3 * pi * r^2 * h

V = 1/3 * 3.14 * 5^2 * 9

V = 235.5

6 0
3 years ago
Other questions:
  • Write the expression in radical form
    7·1 answer
  • [15 POINTS] FIND THE LENGTH OF SIDE AB IN THE TRIANGLE SHOWN
    15·1 answer
  • Multiply the following binomials (X+5) (X-5)
    9·1 answer
  • What is a good word problem for 3+(3*12)
    14·1 answer
  • Answer this question
    15·1 answer
  • Tony bought 3 packs of pencils for $4 each and a pencil box for $7. Mario bought 4 binders for $6 each and used a coupon for $6
    7·1 answer
  • Point E has a positive y-coordinate.Where could point E be located on the coordinate plane?
    6·1 answer
  • Simplify the following using BODMAS <br> 3p + [5 − (2p + 7q)]
    11·2 answers
  • HELP NEED ANSWERS TO EDGEMS
    12·1 answer
  • What angle is congruent to ∠C?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!