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salantis [7]
4 years ago
10

What is 1 2/3m + 2 = 2 1/6? Solve for m and show your work please.

Mathematics
1 answer:
RUDIKE [14]4 years ago
5 0

Answer:

m = 1/10

Step-by-step explanation:

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A circle is cut into congruent sections and arranged to form a figure that approximates a parallelogram. Find the approximate he
Solnce55 [7]

Answer:

<h2>The height is 3.43 centimeters, approximately.</h2>

Step-by-step explanation:

Notice that there are 16 pieces from the circle, which means each sector has an angle of

\theta = \frac{360\°}{16}=22.5\°

Where all sectors have equal area.

Now, the area of the whole circle is 12.25 \pi \ cm^{2}, if we use the formula of its area, we'll find the radius of the circle

A= \pi r^{2}\\ 12.25\pi = \pi r^{2}\\ r=\sqrt{12.25} \approx  3.5

Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.

To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.

cos(11.25\°)=\frac{h}{3.5}\\ h=3.5 \times cos(11.25 \°)\\h \approx 3.43

Therefore, the height is 3.43 centimeters, approximately.

6 0
3 years ago
Sara Blake's grandmother gave her $3000.00 to save for college. She put it in a savings account that earns 6% interest per year.
Elina [12.6K]

• P is the principal amount, $3000.00.

• r is the interest rate, 6% per year, or in decimal form, 6/100=0.06.

• t is the time involved, 8 years time periods.

• So, t is 8 year time periods.

To find the simple interest, we multiply 3000 × 0.06 × 8 to get that:

The interest is: $1440.00

6 0
3 years ago
Read 2 more answers
Find the mean, median, mode, and range of the data 10, 13, 7, 6, 9, 4, 6, 3, 5​
elena-s [515]
Median is 6 range is 9 mode is 6 and mean is 7
7 0
3 years ago
A = -3<br> b = -2<br> c = -4
Lapatulllka [165]

Answer:

-27

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A square playground has an area of 175 m2. What is the approximate length of each side of the playground? Round your answer to t
igomit [66]
We know that the area of a square = side &sup2;

Therefore, for a known area A, the side length is
side = &radic; (area)
= &radic; (175) 
= 13.2288  (to 4 places of decimals).

4 0
3 years ago
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