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astra-53 [7]
2 years ago
12

This figure consists of a rectangle and semicircle.

Mathematics
1 answer:
madreJ [45]2 years ago
6 0

Answer:

hope it helps!

Step-by-step explanation:

Perimeter includes three sides of rectangle:

15m + 12m + 15m

Plus half of circle with diameter 12m

Circumference = diameter * PI

Circumference = 37.68m.

1/2 circumference = 18.84m

Total perimeter is 15m+12m+15m+18.84m

60.84m

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11.REINFORCE The lengths of three sides of a triangle are 2x, 3x - 4, and x+4. Find a value of x that makes the triangle equilat
mash [69]

Answer:

x=4

Step-by-step explanation:

It suffices to equate any two sides and then check whether the solution is valid for the third side.

Taking 2x and 3x-4 and equating:

2x = 3x-4

x = 4

This means the sides are both of length 8. Now check whether for x=4 the third side is also of length 8:

x+4=4+4=8

which indeed works out confirming x=4 being a valid solution

5 0
3 years ago
What is the range of 98, 13,41,62 and 8
jonny [76]
The range of it is 90 subtract the greatest # from the least 90-8
4 0
3 years ago
State police believe that 70% of the drivers traveling on a major interstate highway exceed the speed limit. They plan to set up
saveliy_v [14]

Answer:

With n = 50, both conditions(np > 5, n(1-p) > 5) are satisfied, so a random sample of 50 cars would have been large enough.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to the normal distribution if:

np > 5, n(1-p) > 5

70% of the drivers traveling on a major interstate highway exceed the speed limit.

So p = 0.7.

Would a random sample of 50 cars have been large enough and why?

With n = 50

np = 50*0.7 = 35 > 5

n(1-p) = 50*0.3 = 15 > 5

With n = 50, both conditions(np > 5, n(1-p) > 5) are satisfied, so a random sample of 50 cars would have been large enough.

8 0
3 years ago
Divide 29 into two parts so that the sum of the squares of the parts is 425. Find the value of each part.
alina1380 [7]

Answer:

13 and 16.

Step-by-step explanation:

Let the 2 parts be x and y, then:

x + y = 29

x^2 + y^2 = 425

From the first equation y = 29 - x so substituting in second equation, we get:

x^2 + (29 - x)^2 = 425

x^2 + 841 - 58x + x^2 - 425 = 0

2x^2 - 58x + 416

x^2 - 29x + 208 = 0

208 = 2*2*2*2*13

= 16 * 13

So factoring we get:

(x - 13)(x - 16) = 0

x = 13 ,16

So the numbers are 13 and 16.

3 0
3 years ago
The graph shows the relationship between the amount of change given from a $10 bill and the number of bagels purchased.
Soloha48 [4]
The graph is a linear graph

The equation of a linear graph is given in the form y=mx+c where m is the gradient and c is the y-intercept

To find gradient:
Choose any two coordinates that lie on the line.
We choose (4,7) and (0, 10)
m= \frac{ y_{1}- y_{0}}{ x_{1}- x_{0} }
m= \frac{10-7}{0-4} =- \frac{3}{4}

the graph crosses the y-axis at 10, so the value of c=10

Forming the equation
y=- \frac{3}{4} +10

Answer: D
6 0
3 years ago
Read 2 more answers
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