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schepotkina [342]
3 years ago
15

Help plsssssssssssssssssssssssssssssssssssssssssssss!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
lilavasa [31]3 years ago
6 0

Answer:

18.84 yd

38.26 yd²

Step-by-step explanation:

cirumferemnce = 6 x 3. 14 = 18.84 yd

area = 3^2 x 3.14 = 38.26 yd²

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The corresponding sides of ΔABC and ΔDEF have equal lengths. The area of ΔABC is 4 square units, and the longest side of ΔDEF is
lisabon 2012 [21]

Answer:

  4 square units

Step-by-step explanation:

If the triangles have corresponding sides the same length, they are congruent triangles. Any measure of ΔABC is the same for ΔDEF.

The area of ΔDEF is 4 square units.

3 0
3 years ago
A rhombus ABCD has AB = 10 and m∠A = 60°. Find the lengths of the diagonals of ABCD.
melisa1 [442]
Three important properties of the diagonals of a rhombus that we need for this problem are:
1. the diagonals of a rhombus bisect each other
2. the diagonals form two perpendicular lines
3. the diagonals bisect the angles of the rhombus

First, we can let O be the point where the two diagonals intersect (as shown in the attached image). Using the properties listed above, we can conclude that ∠AOB is equal to 90° and ∠BAO = 60/2 = 30°. 

Since a triangle's interior angles have a sum of 180°, then we have ∠ABO = 180 - 90 - 30 = 60°. This shows that the ΔAOB is a 30-60-90 triangle.

For a 30-60-90 triangle, the ratio of the sides facing the corresponding anges is 1:√3:2. So, since we know that AB = 10, we can compute for the rest of the sides.

\overline{OB}:\overline{AB} = 1:2
\overline {OB}:10 = 1:2
\overline{OB} = \frac{1}{2}(10) = 5

Similarly, we have

\overline{AO}:\overline{AB} = \sqrt{3}:2
\overline {AO}:10 = \sqrt{3}:2
\overline{AO} = \frac{\sqrt{3}}{2}(10) = 5\sqrt{3}

Now, to find the lengths of the diagonals, 

\overline{AD} = 2(\overline{AO}) = 10\sqrt{3}
\overline{BC} = 2(\overline{OB}) = 10

So, the lengths of the diagonals are 10 and 10√3.

Answer: 10 and 10√3 units

8 0
3 years ago
A savings account accrues interest at a rate of 3.0% yearly. If someone opens an account with $2,500, how much money would the a
stira [4]
<span>2500(1.03)^5 that's the equation .
which means it would be 2,898.18</span>
6 0
3 years ago
-<br> How do I solve this,I do not know how to start it
Ulleksa [173]

Answer:

what do you mean?

Step-by-step explanation:

5 0
3 years ago
Joe worked 12 hours and packed 32 cartons. Bob worked 25 hours and packed 64 cartons. Did Joe and Bobwork at the same rate?O YES
Bas_tet [7]

To be able to compare the rates, we will write them in fraction form.

The fraction that represents Joe's rate is:

\frac{32}{12},

and the fraction that represents Bob's rate is:

\frac{64}{25}\text{.}

Simplifying the above fractions, we get:

\begin{gathered} \frac{32}{12}=\frac{8}{3}, \\ \frac{64}{25}=\frac{64}{25}\text{.} \end{gathered}

Since:

\frac{8}{3}\ne\frac{64}{25}

then Bob and Joe did not work at the same rate.

Answer:

No, Bob and Joe did not work at the same rate.

4 0
1 year ago
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