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Harrizon [31]
3 years ago
12

What is the length of bd

Mathematics
1 answer:
NikAS [45]3 years ago
3 0

Answer:

B

Step-by-step explanation:

I would use the Pythagorean theorem to solve distances between 2 points, and this case is no exception.

We need to find the positive difference in their x coordinates and y coordinates.

The difference in x coordinates: 7

The difference in y coordinates: 8

Now we can use the Pythagorean theorem:

7^2+8^2 = x^2

49+64 = x^2

113 = x^2

x = sqrt(113)

Therefore, the answer is B.

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fiasKO [112]
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adjacent = 1
hypotenuse = sqrt(opposite^2 + adjacent^2)
= sqrt(sqrt(2)^2 + 1^2) = sqrt(3)

sin(α) = opposite/hypotenuse
= sqrt(2)/sqrt(3)

cos(α) = adjacent/hypotenuse
= 1/sqrt(3)

now we can calculate the value of
5sin²α+3cos²α / 3sin²α-5cos²α
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8 0
3 years ago
Please help me with my work I’ll give Brainlest
lbvjy [14]

Answer:

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Step-by-step explanation:

a^2 * 9^2 = 15^2

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6 0
3 years ago
The amount of toothpaste in a tube is normally distributed with a mean of 6.5 ounces and a standard
Anarel [89]

Answer:

a) 266 tubes ,  TC_r = $53.2

b) 266 tubes ,  T.Loss = $13.30

Step-by-step explanation:

Given:

- The sample size of tubes n = 1,000 tubes

- The mean of the sample u = 6.5 oz

- The standard deviation of the sample s.d = 0.8 oz

- Cost of manufacturing a tube C_t = 50 cents

- Cost of refilling a tube C_r = 20 cents

- Profit loss per tube Loss = 5 cents

Find:

a). How many tubes will be found to contain less than 6 ounces? In that case, what will be the total cost of the  refill?

b) How many tubes will be found to contain more than 7 ounces? In that case, what will be the amount of  profit lost?

Solution:

- First we will compute the probability of tube containing less than 6 oz.

- Declaring X : The amount of toothpaste.

Where,                         X ~ N ( 6.5 , 0.8 )

- We need to compute P ( X < 6 oz )?

Compute the Z-score value:

                  P ( X < 6 oz ) =  P ( Z < (6 - 6.5) / 0.8 ) = P ( Z < -0.625 )

Use the Z table to find the probability:

                               P ( X < 6 oz ) = P ( Z < -0.625 ) = 0.266

- The probability that it lies below 6 ounces. The total sample size is n = 1000.

       The number of tubes with X < 6 ounces = 1000* P ( X < 6 oz )

                                                                           = 1000*0.266 = 266 tubes.

- The total cost of refill:

                            TC_r = C_f*(number of tubes with X < 6)

                            TC_r = 20*266 = 5320 cents = $53.2

- We need to compute P ( X > 7 oz )?

Compute the Z-score value:

                  P ( X > 7 oz ) =  P ( Z > (7 - 6.5) / 0.8 ) = P ( Z < 0.625 )

Use the Z table to find the probability:

                               P ( X > 7 oz ) = P ( Z > 0.625 ) = 0.266

- The probability that it lies above 7 ounces. The total sample size is n = 1000.

       The number of tubes with X > 7 ounces = 1000* P ( X > 7 oz )

                                                                           = 1000*0.266 = 266 tubes.

- The total cost of refill:

                            T.Loss = Loss*(number of tubes with X > 7)

                            T.Loss = 5*266 = 1330 cents = $13.30

5 0
2 years ago
What is the value of x, if the perimeter of the rectangle is 37?<br><br> This is the problem :
salantis [7]

Answer:

X= 3.7

Step-by-step explanation:

Perimeter of rectangle= 2(L+B)

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37= 2(5X)

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3 0
3 years ago
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Scott likes to run long distances. He can run 20 \text{ km}20 km20, start text, space, k, m, end text in 858585 minutes. He want
aleksandrvk [35]

Answer:

<em>Scott will take 221 minutes to run 52 km</em>

Step-by-step explanation:

<u>Speed</u>

The speed of an object can be calculated with the formula:

\displaystyle v=\frac{d}{t}

Where d is the distance traveled and t is the time taken.

Scott can run d=20 km in 85 minutes. Thus, his speed is:

\displaystyle v=\frac{20}{85}\ km/min

Now he wants to know how many minutes it will take him to run d=52 km. Solving the formula for t:

\displaystyle t=\frac{d}{v}

Since the speed has been already determined:

\displaystyle t=\frac{52}{\frac{20}{85}}

Multiplying by the reciprocal of the denominator:

\displaystyle t=52*\frac{85}{20}

t = 221 min

Scott will take 221 minutes to run 52 km

4 0
3 years ago
Read 2 more answers
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