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attashe74 [19]
3 years ago
7

A. How long does the piece of wire need to be to make the shape? Explain.

Mathematics
1 answer:
Misha Larkins [42]3 years ago
7 0

A. The wire needs to be 138.226 cm long but already 34.5565 cm of the circle has been covered.

B. To determine the length of the wire needed, we subtract a quarter of the circles circumference from its whole circumference.

Step-by-step explanation:

Step 1:

The circumference of a circle is obtained by multiplying the radius with 2π.

The circumference of a circle = 2 \pi r.

Here the radius of the circle is 22 cm but already a quarter of the circumference has been covered with wire.

Step 2:

So to determine the length of the wire needed, we subtract a quarter of the circles circumference from its whole circumference.

So the circumference of the circle = 2(3.1415)(22) = 138.226 cm.

\frac{3}{4} (138.226) = 103.6695 cm and \frac{1}{4}(138.226) = 34.5565 cm.

So the wire needs to be 138.226 cm long but already 34.5565 cm of the circle has been covered. An additional 103.6695 cm of wire is needed to cover the remaining circle.

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Which number is the square root of 196
Elodia [21]
Hi there,

I think the answer is

14

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8 0
3 years ago
55 is what percent of 100
max2010maxim [7]

55 is 55% of 100.

percents are based of of 100, so 55 would be 55/100 or 55%.

5 0
3 years ago
Do you think there are any ordered pairs that are solutions to BOTH y = x + 5 and y = –2x – 1? Explain.
zloy xaker [14]

Answer:

The ordered pair is (-2,3)

Step-by-step explanation:

y=x+5\\y=-2x-1\\\implies x+5=-2x-1\\\implies 3x=-6\\\boxed{x=-2}\\\implies y=-2+5=\boxed {3}\\

8 0
3 years ago
Read 2 more answers
The temperature at any random location in a kiln used in the manufacture of bricks is normally distributed with a mean of 1000 a
NeX [460]

Answer:

b. 2.28%.

Step-by-step explanation:

Mean temperatue (μ) = 1000°F

Standard Deviation (σ) = 50 °F

For any temperature value, X, the z-score is given by:

z=\frac{X-\mu}{\sigma}

For X= 900°F

z=\frac{900-1000}{50}\\z=-2.0

A z-score of -2.0 corresponds to the 2.28-th percentile of a normal distribution. Therefore, the probability that X<900 is:

P(X

7 0
3 years ago
(-0.75+6)-1(2.5x+-1.9
fenix001 [56]

Simplifying

(0.75x + 6) + -1(2.5x + -1.9) = 0


Reorder the terms:

(6 + 0.75x) + -1(2.5x + -1.9) = 0


Remove parenthesis around (6 + 0.75x)

6 + 0.75x + -1(2.5x + -1.9) = 0


Reorder the terms:

6 + 0.75x + -1(-1.9 + 2.5x) = 0

6 + 0.75x + (-1.9 * -1 + 2.5x * -1) = 0

6 + 0.75x + (1.9 + -2.5x) = 0


Reorder the terms:

6 + 1.9 + 0.75x + -2.5x = 0


Combine like terms: 6 + 1.9 = 7.9

7.9 + 0.75x + -2.5x = 0


Combine like terms: 0.75x + -2.5x = -1.75x

7.9 + -1.75x = 0


Solving

7.9 + -1.75x = 0


Solving for variable 'x'.


Move all terms containing x to the left, all other terms to the right.


Add '-7.9' to each side of the equation.

7.9 + -7.9 + -1.75x = 0 + -7.9


Combine like terms: 7.9 + -7.9 = 0.0

0.0 + -1.75x = 0 + -7.9

-1.75x = 0 + -7.9


Combine like terms: 0 + -7.9 = -7.9

-1.75x = -7.9


Divide each side by '-1.75'.

x = 4.514285714


Simplifying

x = 4.514285714

5 0
3 years ago
Read 2 more answers
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