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Dmitry [639]
4 years ago
8

The sixth grade art students are making a mosaic using tiles in the shape of right triangles. Each tile has leg measures of 3 ce

ntimeters and 5 centimeters. If there are 200 tiles in the mosaic, what is the are of the mosaic? Explain. PLEASE HELP!!!
Mathematics
1 answer:
xenn [34]4 years ago
4 0
1,600 
3 TIMES 200=600
5 TIMES 200=1000
1000+600=1600
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2/4, find the surface area
Oduvanchick [21]

Answer:

144 un^2

Step-by-step explanation:

Base: 4 × 11 = 44

Left-most face: 3 × 11 = 33

Top face: 5 × 11 = 55

Triangular faces: 3 × 4 = 12

Add: 44 + 33 + 55 + 12 = 144

7 0
4 years ago
5. Use a table of standard normal curve areas to find the following:
ANTONII [103]

Answer:

a. 0.7123

b. 0.1151

c. 0.0708

d. 0.6368

e. 0.7058

Step-by-step explanation:

  • the area to the right of z* can be stated as P(z<z*), and corresponding probability of z* on z-table gives the result.

a. The area to the left of z = 0.56 = P(z<0.56) = 0.7123

b. The area to the right of z = 1.20 =P(z>1.20)= 1- P(z<1.20)= 1-0,8849=0.1151

c. The area to the left of z = −1.47 = P(z<-1.47)= 0.0708

d. The area to the right of z = −0.35 =P(z>-0.35) = 1-P(z<-0.35)=1-0,3632=0.6368

e. P(-1.39<z<0.80) = P(z<0.80) - P(z<-1.39) = 0.7881-0.0823 = 0.7058

7 0
3 years ago
Prove that sin(Π÷14)sin(3Π÷14)sin(5Π÷14)=2​
Oxana [17]

Answer:

The correct prove will be:

sin(\frac{\pi }{14})sin(\frac{3\pi }{14})sin(\frac{5\pi }{14}) = \frac{1}{8}

Step-by-step explanation:

    sin(\frac{\pi }{14})sin(\frac{3\pi }{14})sin(\frac{5\pi }{14})

            Multiply and Divide by 2cos(\frac{\pi }{14})

= \frac{2sin(\frac{\pi }{14})cos(\frac{\pi }{14})sin(\frac{3\pi }{14})sin(\frac{5\pi }{14})}{2cos(\frac{\pi }{14})}

⇒ Let \frac{\pi }{14} = Ф  and 7Ф = \frac{\pi }{2}

= sin2Ф sin3Ф sin5Ф ÷ 2cosФ

= 1/2(2sin2Фsin5Ф)sin3Ф ÷ 2cosФ

= (cos3Ф - cos7Ф) sin3Ф ÷ 4cosФ

= 1/2(2cos3Ф sin3Ф) ÷ 4cosФ               ∵cos7Ф = 0      

= sin6Ф ÷ 8cosФ

= sin(7Ф - Ф) ÷ 8cosФ                              

= (sin7ФcosФ - cos7ФsinФ) ÷ 8cosФ      ∵sin7Ф = 1  

= cosФ ÷ 8cosФ

= 1/8

Hence, The correct prove will be:

sin(\frac{\pi }{14})sin(\frac{3\pi }{14})sin(\frac{5\pi }{14}) = \frac{1}{8}

Keywords: prove, sinФ, cosФ

Learn more about trigonometric functions from brainly.com/question/7331447

#learnwithBrainly

4 0
3 years ago
If m∠P = (7x – 22) ° and ∠P is a right angle, find the value of x.
gogolik [260]

Answer:

16

Step-by-step explanation:

If P is a right angle the the value of 7x - 22 would be equal to 90°

7x - 22 = 90°

7x = 112°

x = 16

6 0
3 years ago
Histograms: answer a and b, find median and lower quartile
Simora [160]

Answer:

A)median score = 116

b)lower quartile= 102

6 0
4 years ago
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