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3 years ago

The area of a triangle is 60 square feet the length of the base is 12 feet find the height of the triangle

Mathematics

2 answers:

valina [46]3 years ago

7 0

Answer:

Step-by-step explanation:

The area of a triangle = 60 square feet

$\frac{1}{2}*base*height=60\\\\\frac{1}{2}*12*height=60\\\\height=\frac{60*2}{12}\\\\=5*2\\\\=10feet$

DochEvi [55]3 years ago

5 0

Answer:

10 feet.

Step-by-step explanation:

The formula for the area of a triangle is A=1/2bh

where A is the area B is the base and H is the height.

The area is 60 and the base is 12 so the formula will become

60=1/2*12*h

60=6*h

by dividing both ends by 6

10=h

the height of the triangle is 10.

I hope this helps :)

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A manufacturer of bicycles has determined that 550 bikes per month will be sold at a price of $250. At a price of $150, it is es

iogann1982 [59]

750 bikes would be sold for $350

Let x represent the number of bikes sold per month and y represent the price.

550 bikes are sold at a price of $250, this can be represented by (550, 250). Also, 750 bikes is sold at a price of $150, hence it is represented by (750, 150)

A linear function is represented by:

y = mx + b

m is the slope, b is the y intercept.

Therefore the function is:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-250=\frac{150-250}{750-550} (x-550)\\\\y=\frac{1}{2}x-25$

The number of bikes sold for $350 is:

350 = (1/2)x - 25

x = 750

Therefore 750 bikes would be sold for $350

Find out more at: brainly.com/question/13911928

3 0

2 years ago

The pH of a solution is measured eight times by one operator using the same instrument. She obtains the following data: 7.15, 7.

Nikolay [14]

Answer:

(a)7.185

(b)0.000371

(d)Sample variance and Sample standard deviation

Step-by-step explanation:

We are given the following sample data.

7.15, 7.20, 7.18, 7.19, 7.21, 7.20, 7.17, 7.18.

(a) Calculate the sample mean. Round your answer to 3 decimal places.

The formula for sample mean =

Sum of terms/Number of terms

= 7.15 + 7.20+ 7.18+7.19+7.21+7.20+7.17+ 7.18/8

= 57.48/8

= 7.185

(b) Calculate the sample variance. Round your answer to 6 decimal places.

The formula for sample Variance =

(x - mean)²/n - 1

n = 8

Sample variance = (7.15 - 7.185)² + (7.20-

7.185)²+ (7.18 -7.185)² + (7.19 -7.185)² + (7.21 - 7.185)² + (7.20 - 7.185)² + (7.17 - 7.185)² + (7.18 - 7.185)² /8 - 1

= 0.001225 + 0.000225+ 0.000025+ 0.000025 + 0.000625 + 0.000225 + 0.000225 + 0.000025/7

= 0.0026/7

= 0.000371428571

Approximately to 6 decimal places = 0.000371

The formula for Sample Standard Deviation = √Sample variance

= √0.000371428571

= 0.01927248223

To 3 decimal places = 0.019

(d) Which of the following are potential major sources of variability in the experiment

Sample variance

Sample standard deviation

4 0

3 years ago

Find the measure of the indicated arc

taurus [48]

Answer:

m(ABC) = 218°

Step-by-step explanation:

The measure of any arc with end points of an inscribed angle = 2 × inscribed angle

Inscribed angle = m<AMC = 109°

Intercepted arc = m(ABC)

Therefore,

m(ABC) = 2 × 109°

m(ABC) = 218°

7 0

3 years ago

Alan will spend at most $30 on gifts. So far, he has spent $19. What are the possible additional amounts he will spend?

Ede4ka [16]

Answer:

$11

Step-by-step explanation:

This is because If you subtract 19 from 30 your answer will be 19.

6 0

3 years ago

Can someone tell me the answer and explanation plz I’ll give brainlist points

MAVERICK [17]

Answer:

Step-by-step explanation:

to cancel out the bottom part of the fraction, we multiply by 3. so now we have y+1= 6. we subtract 1, and get y=5

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3 years ago