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VMariaS [17]
3 years ago
15

If tan b = 40/9, then sin b = ?​

Mathematics
1 answer:
jeyben [28]3 years ago
8 0

Answer:

40/41

Step-by-step explanation:

Tangent is opposite over adjacent, and sine is opposite over hypotenuse.  We can find hypotenuse from Pythagorean, which gets us 41 as the hypotenuse.  Therefore sin b = 40/41.

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Sara spent half of her allowance going to the movies. She washed the family car and earned 9 dollars. What is her weekly allowan
Genrish500 [490]
$7, I think. I would not be too sure about it, though.
3 0
3 years ago
Read 2 more answers
2cosx-3=0 cách giải như thế nào
Masteriza [31]

Answer:

Solution does not exist.

Step-by-step explanation:

2cosx-3=0

2cosx=3

cosx=3/2

Solution does not exist.

7 0
3 years ago
On a math test, Johnny made a raw score of 95 on a 40 question test. The correct answers were given 5 points each while incorrec
Sidana [21]
X - the number of questions he answered correctly
y - the number of questions he answered incorrectly

There were 40 questions on the test.
x+y=40 \\ y=40-x

The correct answers were given 5 points each, the incorrect answers were given -2 points each. He made a score of 95.
5x-2y=95 \\
-2y=95-5x \\
y=-\frac{95}{2}+\frac{5}{2}x


Set 40-x and (-95/2)+(5/2)x equal to each other:
40-x=-\frac{95}{2}+\frac{5}{2}x \\
-x-\frac{5}{2}x=-\frac{95}{2}-40 \\
-\frac{2}{2}x-\frac{5}{2}x=-\frac{95}{2}-\frac{80}{2} \\
-\frac{7}{2}x=-\frac{175}{2} \\
x=-\frac{175}{2} \times (-\frac{2}{7}) \\
x=\frac{175}{7} \\
x=25

Johnny answered correctly 25 questions.
8 0
3 years ago
In a survey, 28 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped
Rina8888 [55]

Answer:

The 80% confidence level estimate for how much a typical parent would spend on their child's birthday gift is between $33.954 and $35.246.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution should be used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 28 - 1 = 27

80% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.8}{2} = 0.9. So we have T = 1.314

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.314\frac{2.6}{\sqrt{28}} = 0.646

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 34.6 - 0.646 = $33.954

The upper end of the interval is the sample mean added to M. So it is 34.6 + 0.646 = $35.246

The 80% confidence level estimate for how much a typical parent would spend on their child's birthday gift is between $33.954 and $35.246.

3 0
3 years ago
Please help as soon as possible
Kobotan [32]
We have an triangle:
base=4 in
height=3 in,
This triangle can be dividided into two equal triangles, we need calculate the hypotenuse.
leg₁=4 in/2=2 in
leg₂=3 in

Pythagoras law:
hypotenuse²=leg₁²+leg₂²
hypotenuse²=(2 in)²+(3 in)²
hypotenuse²=4 in²+9 in²
hypotenuse²=13 in²
hypotenuse=√13 in.

Now, we can find the surface area.
Surface area=2 *(rectangle area)+base area + 2(triangle area)
rectangle area=10 in x √13 in=10√13 in²
base area=10 in  x 4 in=40 in²
Triangle area=(4 in x 3 in)/2=6 in²

Surface area=2(10√13 in²)+40 in²+2(6 in²)=(20√13+52) in²≈124.11 in²

Answer: 124.11 in²
7 0
3 years ago
Read 2 more answers
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