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svp [43]
2 years ago
10

Find the length of AC Give your answer to 1 decimal place

Mathematics
2 answers:
exis [7]2 years ago
4 0

Answer:

AC ≈ 17.3 cm

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan68° = \frac{opposite}{adjacent} = \frac{AC}{AB} = \frac{AC}{7} ( multiply both sides by 7 )

7 × tan68° = AC , then

AC ≈ 17.3 cm ( to 1 dec. place )

Fantom [35]2 years ago
3 0

We will use tangent here as we are finding the opposite with the adjacent given.

So we can simply just put this into a calculator:

tan(68°) × 7 cm = AC

tan(68°) × 7 cm = 17.3 cm

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A college statistics class at a nearby university has 1,000 students enrolled in it. On a recent exam, the mean score was 75% wi
IceJOKER [234]

Answer:

38.11%

Step-by-step explanation:

Given that:

Mean (μ) = 75, standard deviation (σ) = 5

Z score is a measure in statistics to determine the variation of a raw score from the mean. It is given by the equation:

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

To calculate the percentage of students scored between a 73 and 78 (C grade), we need to find the z score for 73 and then for 78.

For x = 73, the z score is:

z=\frac{x-\mu}{\sigma}=\frac{73-75}{5} =-0.4

For x = 78, the z score is:

z=\frac{x-\mu}{\sigma}=\frac{78-75}{5} =0.6

From the probability distribution table:

P(73 < x < 78) = P(-0.4 < z < 0.6) = P(z < 0.6) - P(z < -0.4) = 0.7257 - 0.3446 = 0.3811 = 38.11%

4 0
3 years ago
How do you solve this? Matt had some candy to give to his four children. He first took two pieces for himself and then evenly di
Rasek [7]

You work it backwards.

-- If there were 4 children and each child got 4 pieces,
then the children got (4 x 4) = 16 pieces altogether.

-- That's what was left after he took 2 pieces for himself. 
So he started with (16 + 2) = <em>18 pieces</em>.

7 0
3 years ago
Read 2 more answers
What does y <br> equal in this equation<br> 22-16=y+16-16
scoray [572]

Answer:

y = 6

Step-by-step explanation:

7 0
3 years ago
The average of your first 6 tests is 82. If your test average after your seventh test is an 80.5, what did you score on the seve
mart [117]
So average is  of the first 6 tests is 82   well that means 

(test1 + test2+ test3+ test4 + test5+test6)/6 = 82

so now let do some cross multiplliying 

test1 + test2 + test3 + test 4 + test5 +test6 = 82*6

test1 + test2 + test3 + test 4 + test5 +test6  = 492

now lets see if we can find that 7th test score

(test1 + test2 + test3 + test4 + test5 +test6 + test7)/7 = 80.5

So look we found test1 + test2 + test3 + test4 + test5 +test6 to be 492 so lets substitute. 

(492 + test7 )/7 = 80.5

test7 = (80.5*7)-492 = 71.5 



7 0
3 years ago
Pls help me first get 10 you know
Luba_88 [7]

Option D, 63 cm

Explanation:

The scale of model is of local park  is

This means that each dimension of the model is 21 times smaller than the actual park (to be developed in future)

Given -

Depth of the pond  centi meter

Depth of the real pond will be 21 times of the depth of the model.

Thus , real pond's depth is equal to

cm

Hence, option D is correct

7 0
2 years ago
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