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3 years ago

What is the measure of angel A?

Mathematics

1 answer:

Rudiy273 years ago

6 0

Answer:

12.68°

Step-by-step explanation:

We know all three sides (18, 80, 82), but we only need two: 18, and 82. Why? What we do here is find the arcsin of the first leg divided by the hypotenuse.

arcsin(18/82)

18/82 is the same as 9/41, which equals 0.21951 repeating (all 5 digits after the decimal are repeating, by the way).

arcsin(0.21951)

What you see above this statement equals 0.22131 radians.

0.22131 rad

To convert this to degrees, multiply by 57.2957795.

0.22131 * 57.2957795

0.22131 times 57.2957795 is 12.680128961145.

12.680128961145°

The directions say the final answer has to be two decimal places. So this becomes 12.68 (0 is less than 5, so round down).

12.68°

Angle A is 12.68°.

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Rationalize the denominator and simplify:

raketka [301]

Answer:

A) (√3-√2)/(√3+√2)

Step-by-step explanation:

i think so

4 0

3 years ago

Hay guys can you plz help

snow_tiger [21]

We can notice from the figure that : Area of the home plate is equal to sum of the Area of the rectangle ( 8 in x 15 in) and Area of the triangle with height 6 in and base 15 in.

Area of the rectangle : Length x Width

⇒ Area of the rectangle = 15 x 8 = 120 in²

Area of the triangle : 1/2 x Base x Height

⇒ Area of the triangle = 1/2 x 15 x 6 = 45 in²

Area of the home plate = Area of rectangle + Area of triangle

⇒ Area of the home plate = 120 in² + 45 in² = 165 in²

Answer : D

3 0

2 years ago

A lot is in the shape of a trapezoid. The sum of the bases is 280 feet. If the area of the lot is 8,400 square feet, what is the

bulgar [2K]

Answer:

The altitude of the trapezoid is 60 feet.

Step-by-step explanation:

Trapezoid

Sum of the bases: B+b=280 feet

Area of the trapezoid: A=8,400 feet^2

Altitude of the trapezoid: h=?

The formula to calculate the area of a Trapezoid is:

A = (1/2) (B+b) h

Replacing the given values:

8,400 feet^2 = (1/2) (280 feet) h

(1/2) (280 feet) = (140 feet)

8,400 feet^2 = (140 feet) h

Solving for h: Dividing both sides of the equation by 140 feet:

8,400 feet^2 / (140 feet) = (140 feet) h / (140 feet)

60 feet = h

h = 60 feet

Answer: The altitude of the trapezoid is 60 feet.

5 0

3 years ago

Suppose the box shown needs to be painted. Which measurement BEST describes the amount of paint needed to paint the

mixer [17]

Answer:

A) 684 in^2

Step-by-step explanation:

Since it needs to be painted all around the box we have to find the surface area of the box

The surface area of cuboid is

=2lw+2lh+2hw (l: length, w: width, h: height)

=2×15×12+2×6×15+2×6×12

= 684 in^2

3 0

3 years ago

Two corresponding sides of two similar pentagons are 16 cm and 28 cm. what is the ratio of the areas of the two pentagons?

DedPeter [7]

Answer: The ratios of the area would be 3.5 times larger.

If you compare the ratios of the sides, you will find that they increase by 1.75 times.

28 / 16 = 1.75

Now, lets write an equation to see what change that would make on the area, if the sides increase by 1.75.

LW = A

1.74L x 1.75W = 3.5A

We have to multiply the 1.75 by 1.75 to find the change in area, which is 3.5.

5 0

3 years ago