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Yanka [14]
2 years ago
12

The measure of AD is v10. Find the AREA of the parallelogram below.

Mathematics
1 answer:
rewona [7]2 years ago
7 0
Please look at the Picture for the answer with the steps on how to get it. Thank you. Would really appreciate it if given branliest

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Julia is standing 2 feet away from a lamppost. If she casts a shadow of 5 feet and the light makes a 20° angle relative to the g
givi [52]

Answer:

2.5477 feet

Step-by-step explanation:

Refer the image attached to understand my solution.

BC = height of lamppost.

DE = Julia

AD = shadow of Julia

BD = 2 feet.      AD = 5 feet

BA = BD + AD

       = 2 + 5 = 7 feet

In ΔABC

tan 20° = \frac{BC}{BA}  = \frac{BC}{7}

BC = 7 * tan 20°

BC = 2.5477 feet

SO the height of lamppost = 2.5477 feet

5 0
2 years ago
The sum of two consecutive even integers is 122. what are the integers?​
Volgvan

Answer:

If the numbers were the same, they'd both be 61

So, try 60 and 62.

x + x+2 = 122

2x = 120

x = 60

Hope that helps!

4 0
2 years ago
Read 2 more answers
Simplify the expression<br>7(5+t)-3(t+2)=​
Vaselesa [24]

Answer:

4t + 29

Step-by-step explanation:

7(5 + t) - 3(t + 2)

35 + 7t - 3t - 6

4t + 35 - 6

4t + 29

6 0
2 years ago
Read 2 more answers
Given that u = 2.89 and v = 5.7, find the value of G when:<br> a G = 5u + 2y
EleoNora [17]

Answer:

28.85

Step-by-step explanation:

Plug the values in and solve.

G = 5u + 2y

G = 5(2.89) + 2(5.7)

G = 14.45 + 11.4

G = 25.85

5 0
3 years ago
An article in Medicine and Science in Sports and Exercise "Maximal Leg-Strength Training Improves Cycling Economy in Previously
Hatshy [7]

Answer:

The 99% confidence interval for the mean peak power after training is [299.4, 330.6]

299.4\leq\mu\leq 330.6

Step-by-step explanation:

We have to construct a 99% confidence interval for the mean.

A sample of n=7 males is taken. We know the sample mean = 315 watts and the sample standard deviation = 16 watts.

For a 99% confidence interval, the value of z is z=2.58.

We can calculate the confidence interval as:

M-z\sigma/\sqrt{n}\leq\mu\leq M+z\sigma/\sqrt{n}\\\\315-2.58*16/\sqrt{7}\leq\mu\leq 315+2.58*16/\sqrt{7}\\\\315-15.6\leq \mu\leq 315+15.6\\\\299.4\leq\mu\leq 330.6

The 99% confidence interval for the mean peak power after training is [299.4, 330.6]

5 0
2 years ago
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