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3 years ago

Write the tangent ratios for Y and Z

Mathematics

2 answers:

lord [1]3 years ago

8 0

When doing trigonometric ratios remember SOHCAHTOA
SOH = sin=opposite/hypotenuse CAH= cos = adjacent/hypotenuse
TOA = tan = opposite/adjacent

The answer is A) tanY = 7/4 tanZ = 4/7

Anon25 [30]3 years ago

6 0

Answer:

A) tan Y = 7/4; tan Z = 4/7

Step-by-step explanation:

The tangent ratio is opposite/adjacent.

The tangent of angle Y is the side opposite Y, 7, over the side adjacent Y, 4; this gives us tan Y = 7/4.

The tangent of angle Z is the side opposite Z, 4, over the side adjacent Z, 7; this gives us tan Z = 4/7.

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In a group of 33 students, 7 study both Art and Biology. 10 study Biology but not Art. 7 study neither subject. How many study A

netineya [11]

Answer:

Step-by-step explanation:

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3 years ago

In the coordinate plane, line p has a slope of 8 and y-intercept (0,3). What are the slope and y-intercept of line r?

Aleksandr [31]

Answer:

y = 8x + 3

Step-by-step explanation:

The line we are describing here is line p;

slope of line p = 8

y- intercept = (0,3)

y-intercept of a line is the point where it crosses the y-axis. At this point, the x = 0

So;

Slope of the line = 8

y-intercept = 3

Equation of the line;

y = mx + c

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6 0

3 years ago

Charles and Seth are building a ramp for Sasha and Samantha. The base of the triangle is 11ft and it's height is 5ft. How long i

Arlecino [84]

Answer: 12.1 ft

Step-by-step explanation:

A ramp represents a right-angled triangle so Pythagorean formula can be used to find the diagonal length which will also be the hypotenuse.

c² = a² + b²

Where:

c = hypotenuse

a = base

b = Height

c² = 11² + 5²

c² = 121 + 25

c² = 146

c = √146

c = 12.1 ft

5 0

3 years ago

The nutrition label for Oriental Spice Sauce states that one package of sauce has 1100 milligrams of sodium. To determine if the

lora16 [44]

Answer:

We conclude that the sodium content is same as what the nutrition label states.

Step-by-step explanation:

We are given that the nutrition label for Oriental Spice Sauce states that one package of sauce has 1100 milligrams of sodium.

The FDA randomly selects 40 packages of Oriental Spice Sauce and determines the sodium content. The sample has an average of 1088.64 milligrams of sodium per package with a sample standard deviation of 234.12 milligrams.

Let $\mu$ = average sodium content.

So, Null Hypothesis, $H_0$ : $\mu$ = 1100 milligrams {means that the sodium content is same as what the nutrition label states}

Alternate Hypothesis, $H_A$ : $\mu$ $\neq$ 1100 milligrams {means that the sodium content is different from what the nutrition label states}

The test statistics that would be used here One-sample t test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n}}}$ ~ $t_n_-_1$

where, $\bar X$ = sample average sodium content = 1088.64 milligrams

s = sample standard deviation = 234.12 milligrams

n = sample of packages of Oriental Spice Sauce = 40

So, test statistics = $\frac{1088.64-1100}{\frac{234.12}{\sqrt{40}}}$ ~ $t_3_9$

= -0.307

The value of z test statistics is -0.307.

Since, in the question we are not given the level of significance so we assume it to be 5%. Now, at 0.05 significance level the t table gives critical values of -2.0225 and 2.0225 at 39 degree of freedom for two-tailed test.

Since our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the sodium content is same as what the nutrition label states.

3 0

3 years ago

If i spend $ 101.65 at kohls,but have 30% off how much is my total show work please

Juliette [100K]

101.65 x .30= 30.50 saving
so take 101.65 - 30.50= 71.15

6 0

3 years ago