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aev [14]
3 years ago
6

Find the radius and the circumference to the nearest hundredth when d ≈ 3.8 in. Use 3.14 for π.

Mathematics
1 answer:
Over [174]3 years ago
5 0
D=3.8
radius r=d/2=1.9
C, circumference
C=2*3.14*r or C=d*3.14
C=3.08*3.14=11.932
C=11.93

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The longest side of a triangle is 4 more than twice the shortest. The third side is 3 more than the shortest. The perimeter is 3
kondaur [170]

Answer:

The shortest side = 6

The third side = 9

The hypotenuse (the longest side) = 16

Step-by-step explanation:

First, let's establish the following based on the information given:

The shortest side = x

The third side = (x + 3)

The hypotenuse (the longest side) = (2x + 4)

The perimeter = 31

Since the perimeter is the total of all 3 sides, we are left with this equation:

(x) + (x + 3) + (2x + 4) = 31

From here, combine like-terms and solve for x.

(x) + (x + 3) + (2x + 4) = 31

(4x + 7) = 31

4x = 24

x = 6

Now that we know the value of x, we can apply this to the predetermined formulas to find the measurements of the remaining two sides.

The shortest side = 6

The third side = (x + 3) = 9

The hypotenuse (the longest side) = (2x + 4) = (2(6) + 4) = (12 + 4) = 16

To check, add all of the sides together to make sure they equal 31.

6 + 9 + 16 = 31

~Hope this Helps!~

7 0
3 years ago
Rob did 15 push-ups on Monday, but on Tuesday he did 3 more than on Monday. What was the percent change?​
alisha [4.7K]

Answer:

20%

Step-by-step explanation:

8 0
3 years ago
What is the equation of the parabola passing through the points<br>(0,6). (3, 15.6), and (10,-4)?​
Novosadov [1.4K]

Answer:

y = -0.6x^2 + 5x + 6

Step-by-step explanation:

First, find the equation of a linear line that passes through the points (0,6) and (3, 15.6) in the slope intercept form, y = mx + b. We know that the line has a y-intercept of 6, so b = 6. Substitute 3 for x, 15.6 for y, and 6 for b to find m.

y = mx + b

15.6 = 3m + 6

9.6 = 3m

m = 3.2

y = 3.2x + 6

y = a(x - 0)(x - 3) + 3.2x + 6

y = a(x)(x - 3) + 3.2x + 6

Finally, substitute 10 for x and -4 for y in the equation above to find a.

-4 = a(10)(10 - 3) + 3.2*10 + 6

-4 = a(10)(7) + 32 + 6

-4 = 70a + 38

-42 = 70a

a = -0.6

Simplify to write in standard form.

y = -0.6(x)(x - 3) + 3.2x + 6

y = -0.6x^2 + 5x + 6

7 0
2 years ago
Find the slope of the line
dmitriy555 [2]
-5/5 do rise over run
4 0
3 years ago
Equation of the graph
natka813 [3]

Answer:

A and C

Step-by-step explanation:

It can not be D, since that will mean that <em>the line is perfectly horizontal</em>, with 0 as its slope.

It can be C, since the <em>equation's slope is positive and has a negative y-intercept</em>, like the graph.

Changing around A gives us y = 2x - 3. That has a <em>positive slope and a negative y-intercept</em>, like the graph. So, A is a possibility.

Changing around B gives us y = ²/₃x + 3. This has a positive slope, <em>but also a positive y-intercept</em>, so B can not be the answer.

4 0
3 years ago
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