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Dima020 [189]
3 years ago
10

Can someone help me please

Mathematics
1 answer:
Blizzard [7]3 years ago
3 0

Answer:

Area=76.56 square feet

Step-by-step explanation:

area of a rectangle =base*height = 5ft*8ft= 40 square feet

area of a triangle=(base*height)/2 =(4ft*4ft)/2= 8 square feet

area of a square=base*height =4ft*4ft= 16 square feet

area of a circle =\pi* r^{2}[/tex]=3.14*2^{2}= 12.56 square feet

r = radius

Total area=(40+8+16+12.56)square feet

Total area=76.56square feet

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An angle, theta, is in standard position and its terminal side passes through the point (2,-1). Find the EXACT value of sin thet
Olenka [21]

Answer:

sinѲ = -1/√5 or -√5/5

Step-by-step explanation:

On the Cartesian plane, we have radius (r) and angle (Ѳ) theta.

On the Cartesian plane we also have x, y where:

x = r cosѲ .......Equation 1

and y = r sinѲ ........Equation 2

r = √x² + y²

In the question we are given points (2,-1)

Where x = 2 , y = -1

We would solve for r by substituting 2 for x and -1 for y

r = √ 2² + -1²

r = √ 4 + 1

r = √5

In the question, we were asked to find what sin theta (Ѳ) is. Hence, we would be substituting √5 for r in Equation 2

y = r sinѲ

Where y = -1 and r = √5

-1 = √5 sinѲ

Divide both sides by √5

sinѲ = -1/√5

We can also represent sin Ѳ in a proper form, by multiplying both top and bottom by √5

sinѲ = -√5/5

Therefore, sinѲ = -1/√5 of -√5/5

6 0
4 years ago
Convert 39/4 into a mixed number.
olga nikolaevna [1]

Answer: The answer is 9 3/4.

Step-by-step explanation: When converting an improper fraction to a mixed number, the first step to take is figure out how many times the denominator goes into the numerator. The number 4 goes into 39

9 times(4 x 9 = 36). The remainder 3 becomes the numerator of the denominator 4, therefore 39/4 converted to a mixed number is 9 3/4.

7 0
3 years ago
Read 2 more answers
LN is tangent to circle O at point M and QM is a diameter. Determine the measure of the following angles.
Makovka662 [10]

Answer:

Step-by-step explanation:

Alright, lets get started.

QM is the diameter given.

NL is the tangent given.

The tangent makes 90 degree angle with diameter.

hence the angle QML will be : 90°   ...............   Answer

Similarly, QMN will also be 90°

The angle PMQ is given as 27°

Hence the angle PMN will be = 90-27

Hence the angle PMN will be = 63°   .....................   Answer

Hope it will help :)

6 0
3 years ago
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Find the volume of a cone with a base diameter of 8 m and a height of 12 m.
Serggg [28]

Answer:

the formula for the volume of a cone is:

1/3hπr²

1/3×12m×π×8m=100.48m³

4 0
3 years ago
Shelley plans to enclose the patio with fencing. If fencing costs $5 per meter, how much will it cost to enclose the patio?
mixer [17]

Answer:

$120

Step-by-step explanation:

<u><em>The complete question is</em></u>

Shelley designed the patio below, in which one side of the patio is a wall of the house. The length of each side of a square on the grid represents 3 meters.

Shelley plans to enclose the patio with fencing. If fencing costs $5 per meter, how much will it cost to enclose the patio?

$40

$60

$120

$180

<u><em>The picture in the  attached figure</em></u>

Find the perimeter of the patio in units (without the wall of the house)

P=(6+12+6)=24\ m

Multiply the perimeter by the cost of the fencing per meter

24(5)=\$120

3 0
3 years ago
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