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VikaD [51]
3 years ago
9

Given: ABC is a right triangle with right angle C. ​ AB=14 centimeters ​ and m∠A=33∘ .

Mathematics
2 answers:
ruslelena [56]3 years ago
8 0
AC is the adjacent leg to angle A, so use cosine to find out AC
cosA=AC/AB
AC=AB*cosA
AC=14*cos33
use your calculator to find AC≈11.7

Aleonysh [2.5K]3 years ago
4 0

Answer:

AC=11.7\ cm

Step-by-step explanation:

we know that

In the right triangle ABC

cos(A)=\frac{AC}{AB}

we have

A=33\°,AB=14\ cm

Substitute and solve for AC

cos(33\°)=\frac{AC}{14}

AC=14cos(33\°)=11.7\ cm

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Find the area of each part of the trapezoid.
Nikitich [7]

Answer:

Area of Triangle A = 4 cm²

Area of Rectangle = 24 cm²

Area of Triangle B = 4 cm²

Area of Trapezoid = 32 cm²  

Step-by-step explanation:

The formula to find the area of a triangle is: \frac{h_bb}{2}

The base (b) is 2 and the height (h) is 4.

Now multiply,

2 times 4 = 8

Then divide,

\frac{8}{2} which equals 4.

So the area of Triangle A and B is 4 cm² because they are the same triangles.

The formula to find the area of a rectangle is: a times b.

a=6 and b=4

Multiply,

6 times 4 = 24

So the area of the rectangle is 24 cm²

The formula to find the area of a trapezoid is: \frac{a+b}{2}h

A=6

B=10

H=4

So now,

\frac{6+10}{2}4

6+10=16

16 divided by 2 is 8.

Last multiply,

8 times 4 is 32.

The area of the trapezoid is 32 cm²

Hope this helped! And have a great day!

7 0
2 years ago
American eat an average of 100 acres of pizza per year this is equivalent to 4,356,000 square feet of pizza per year how is area
Kamila [148]

Answer:

4.356 × 10⁶ square feet or 4.356 × 10⁶ ft² of pizza per year

Step-by-step explanation:

Scientific notation is a means, method or way that is used in mathematics to write very large or small real numbers in a very short form or compressed form.

Scientific notation uses exponents or 10 raised to the power of a particular number to write huge or small real number in a decimal form.

In the question, we are asked to express the area in square feet as a scientific notation.

The area = 4,356,000 square feet of pizza per year

4,356,000 square feet of pizza per year in scientific notation =

4.356 × 10⁶ square feet of pizza per year.

5 0
3 years ago
Find the volume of the hemisphere
seraphim [82]

Answer:

0.341\pi or 1.0723

Step-by-step explanation:

the volume of hemisphere = (2/3)\pir^{3}

r = (1/2)d = 0.8

(2/3)\pi(0.8)^{3} = 0.341\pi = 1.0723

3 0
3 years ago
What operation comes first?
lord [1]
Parentheses!! Don’t forget PEMDAS! (Parentheses, exponents, multiplication, division, addition, subtraction)
6 0
3 years ago
Pls tell me how to do it.
kkurt [141]
Lets get started :)

The ratio of juice is as follows:
orange : mango : apple
      3     :      5     :    4
                    ↑
              35 bottles

5x = 35

\frac{5x}{5} = \frac{35}{5}
5 and 5 cancels out
x = 7

3x + 5x + 4x = total
Subsitute the value you go for x, x = 7
3(7) + 5(7) + 4(7) = total
21 + 35 + 28 = 84

Total of 84 bottles of juices :)
Your final answer will be option D

6 0
3 years ago
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