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Mademuasel [1]
3 years ago
8

Please helppp with these questions

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
5 0

Answer:

1) 113.0 m^2

2) 12.6 ft^2

3) 50.2 in^2

4) 153.9 m^2

5) 254.3 yd^2

Step-by-step explanation:

pi (3.14) times radius squared

1) 3.14 times 6^2 (36)

113.04

2) diameter is given, divide by 2 to find radius

3.14 times 4^2

12.56

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How do I answer this question?​
Novay_Z [31]

Due to the Triangle Angle Sum Theorem, we know that the sum of the interior angles of a triangle equals 180 degrees, therefore,

180 = m<1 + m<2 + m<3

180 - m<3 = m<1 + m<2

But, we also know that m<4 + m<3 = 180 degrees.

180 = m<3 + m<4

180 - m<3 = m<4

Both m<4 and m<1 + m<2  equals 180 - m<3

m<4 = m<1 + m<2

5 0
3 years ago
The angle of elevation of the top of a tree is 60°. If the point of observation is 4m from the foot of the tree. How far is the
inn [45]

Answer:

8m

Step-by-step explanation:

x = hypotenuse since they want the point of observation to the top of the tree

cos 60 = 4/x

x = 4 / cos 60

x = 8m

7 0
4 years ago
Farmer Brown is prepping his circular garden for the new spring/summer season of vegetables. The garden has to be larger than 25
d1i1m1o1n [39]

Answer:

The area is 78.5, the farmer does have enough space to plant his vegetables

Step-by-step explanation:

To find the area, you need to use the formula, A=πr², (make sure the diameter is turned into the radius by dividing by 2, in this case, it's 5 as the radius)

Plug in your numbers, A= 3.14(5)²

                                    A= 3.14(25)

The area is 78.5

So the farmer does have enough space to plant his vegetables since 78.5 is greater than 25

7 0
3 years ago
A student needed to prepare 500mL of 1X TAE buffer to run a QC gel. The stock solution in the lab is 5X TAE. What volumes of sto
Xelga [282]

Answer:

you need 100ml of 5X TAE and 400ml of water.

Step-by-step explanation:

You need to use a rule of three:

C_1V_1=C_2V_2

where:

\left \{ {{C_1= 5X} \atop {C_2=1X}} \right.

and

\left \{ {{V_1 = V_{TAE}} \atop {V_2=500ml}} \right.

Therefore:

V_{TAE} = \frac{V_2*C_2}{C_1}

V_{TAE} = 100ml

Then just rest the TAE volume to the final Volume and you get the amount of water that you need to reduce the concentration.

3 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%7B3x%7D%5E%7B3%7D%20%20%5Ctimes%204%20%7By%7D%5E%7B5%7D%20%20%5Cdiv%20%20%7B8y%7D%5E%7B2%7
garik1379 [7]
The answer is 12x3y5 divided by 8x15x5y2
6 0
4 years ago
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