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kumpel [21]
3 years ago
15

A semicircle is attached to the side of a rectangle as shown.

Mathematics
1 answer:
katrin [286]3 years ago
8 0
I think the answer is 43.8.
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Joel spends 272727 more minutes playing soccer after school on Tuesday than he did on Monday. He still exercises for a total of
Nookie1986 [14]

Joel spent 72.5% of his time exercising after playing soccer on Tuesda

<h3>How to determine the percentage?</h3>

The given parameters are

Minutes spent on Tuesday = 27 more minutes than Monday

Total minutes spend = 60

This means that

Tuesday = Monday + 27

Monday + Tuesday = 60

Make Monday the subject in Tuesday = Monday + 27

Monday = Tuesday - 27

Substitute Monday = Tuesday - 27 in Monday + Tuesday = 60

Tuesday - 27 + Tuesday = 60

Evaluate

2 * Tuesday = 87

Divide by 2

Tuesday = 43.5

The percentage of time spent exercising on Tuesday is then calculated as

Percentage = 43.5/60 * 100%

Evaluate the expression

Percentage = 72.5%

Hence, Joel spent 72.5% of his time exercising after playing soccer on Tuesday

Read more about percentages at:

brainly.com/question/843074

#SPJ1

6 0
2 years ago
Which rule describes the function in the graph below?
m_a_m_a [10]

The function that models the graph is given as:f(x)=\left \{ {{-\frac{1}{3}x+\frac{4}{3}  \ \ -8 < x < 2} \atop {-x^2+6\ \ -2 < x < 0}} \atop {6\ \ 0 < x < 4}, \ \ x+2\ \  4 < x < 7 \right.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

The equation shown in the graph represents a piecewise function. Hence:

From the line through the point (-8, 4) and (-2, 2), the equation is f(x) = -(1/3)x + 4/3

From the curve through the point (-2, 2) and (0, 6), the equation is f(x) = -x² + 6

From the line through the point (0, 6) and (4, 6), the equation is f(x) = -6

From the line through the point (4, 6) and (7, 9), the equation is f(x) = x + 2

The function that models the graph is given as:f(x)=\left \{ {{-\frac{1}{3}x+\frac{4}{3}  \ \ -8 < x < 2} \atop {-x^2+6\ \ -2 < x < 0}} \atop {6\ \ 0 < x < 4}, \ \ x+2\ \  4 < x < 7 \right.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

3 0
2 years ago
Some help me with this math problem
Anestetic [448]
Only the upper-left statement is NOT true.
5 0
3 years ago
An assembly consists of two mechanical components. Suppose that the probabilities that the first and second components meet spec
SVETLANKA909090 [29]

Answer:

The probability mass function is given by

P(X = 0) = 0.003, P(X = 1) = 0.164, P(X = 2) = 0.833

Step-by-step explanation:

Given to us are two mechanical components.

The probability of the first component meeting the given specifications are 0.98.

The probability that the second component meets the given specifications  = 0.85.

In the information given the components are said to be independent.

The probability mass function will be calculated in the following way

i.) P(X=0) which is the probability that neither of the components meet the specifications.

ii) P(X=1) which is the probability when either of the components will meet the specifications and the other will not.

iii) P(X=2) which is the probability that both components meet the specification.

Therefore P(X = 0) = ( 1 - 0.98) × ( 1 - 0.85)  = 0.02 × 0.15  = 0.003

and,          P(X = 1)  =    (0.98 × ( 1 - 0.85)) + (( 1 - 0.98) × 0.85)

                              =   (0.98 × 0.15) + (0.02 × 0.85)

                              =   0.147 + 0.017

                              = 0.164

and finally, P(X=2) = (0.98 × 0.85)

                              = 0.833

4 0
4 years ago
What is the area of the shape?
Tresset [83]

Answer:12 units^2

Step-by-step explanation:

2*2=4

2*2*1/2=2

2*6*1/2=6

4+2+6=12

12 units^2

4 0
3 years ago
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