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3 years ago

Find x and round to the nearest tenth:)

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

8 0

Answer:

x = 31.8°

Step-by-step explanation:

Applying the Law of Sines, we have:

$\frac{sin(x)}{12} = \frac{sin(75)}{22}$

Multiply both sides by 12

$\frac{sin(x)}{12} \times 12 = \frac{sin(75)}{22} \times 12$

$sin(x) = \frac{sin(75) \times 12}{22}$

$sin(x) = 0.5269$

$x = sin^{-1}(0.5269)$

x = 31.8° (nearest tenth)

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X^(2)+17x+72 im confused on how to factor this?

polet [3.4K]

Answer:

(x +9)(x +8)

Step-by-step explanation:

In a quadratic with leading coefficient 1, the coefficient of the linear term (17) is the sum of factors of the constant term (72). If you know your times tables, you know that 8×9 = 72, and you also know that 8+9 = 17.

With these facts, you can write the factorization as ...

(x +8)(x +9)

_____

If you need to see the working out, rather than jumping to the end, you can use the sum information to rewrite the linear term:

x^2 +(8x +9x) +72

Now factor pairs of terms:

(x^2 +8x) + (9x +72) = x(x +8) +9(x +8) = (x +9)(x +8)

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It also helps to be familiar with the product of binomials:

(x +a)(x +b) = x^2 +(a+b)x +ab

4 0

3 years ago

Can y’all help me please

borishaifa [10]

Answer:

5 perpendicular and 4 parallel line segments so more perpendicular

Perpendicular means "at right angles". A line meeting another at a right angle, or 90° is said to be perpendicular to it. And Parallel Lines or parallel Segments are always the same distance apart, they will never meet. And in this shape there are four parallel line segments and five perpendicular

3 0

3 years ago

Lyra and Donna are testing the two-way radios they built for their high school science project. Lyra goes to the top of a buildi

9966 [12]

They will be forming a right triangle.

long leg is the height of Lyra. 22 meters high from the entrance.
short leg is the distance of Donna. 50 meters from the entrance.
We need to solve for the hypotenuse or the range of communication.

a² + b² = c²
22² + 50² = c²
484 + 2500 = c²
2,984 = c²
√2,984 = √c²
54.63 = c

The range of communication for the two radios is 55 meters.

8 0

3 years ago

How do I solve this equation?

muminat

Answer:

x=4,-3

step-by-step

8 0

3 years ago

A nationwide sample of influential Republicans and Democrats was asked as a part of a comprehensive survey whether they favored

pickupchik [31]

Answer:

We conclude that there is an equal or larger proportion of Republicans in favor of lowering the standards.

Step-by-step explanation:

The complete question is: A nationwide sample of influential Republicans and Democrats was asked as a part of a comprehensive survey whether they favored lowering environmental standards so that high-sulfur coal could be burned in coal-fired power plants. The results were:

Number sampled: 1,000 (republican) , 800 (democrats)

Number in favor: 200 (republican) , 168 (democrats)

At the 0.02 level of significance, can we conclude that there is a larger proportion of Democrats in favor of lowering the standards? Determine the p-value.

Let $p_1$ = proportion of Republicans in favor of lowering the standards.

$p_2$ = proportion of Democrats in favor of lowering the standards.

SO, Null Hypothesis, $H_0$ : $p_1 \geq p_2$ {means that there is an equal or larger proportion of Republicans in favor of lowering the standards}

Alternate Hypothesis, $H_A$ : $p_1 < p_2$ {means that there is a larger proportion of Democrats in favor of lowering the standards}

The test statistics that would be used here Two-sample z-test for proportions;

T.S. = $\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }$ ~ N(0,1)

where, $\hat p_1$ = sample proportion of Republicans in favor of lowering the standards = $\frac{200}{1000}$ = 0.20

$\hat p_2$ = sample proportion of Democrats in favor of lowering the standards = $\frac{168}{800}$ = 0.21

$n_1$ = sample of Republicans = 1000

$n_2$ = sample of Democrats = 800

So, the test statistics = $\frac{(0.20-0.21)-(0)}{\sqrt{\frac{0.20(1-0.20)}{1000}+\frac{0.21(1-0.21)}{800} } }$

= -0.52

The value of z test statistics is -0.52.

Now, P-value of the test statistics is given by the following formula;

P-value = P(Z < -0.52) = 1 - P(Z $\leq$ 0.52)

= 1 - 0.6985 = 0.3015

Now, at 0.02 significance level, the z table gives a critical value of -2.054 for left-tailed test.

Since our test statistic is more than the critical value of z as -0.52 > -2.054, 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 there is an equal or larger proportion of Republicans in favor of lowering the standards.

7 0

3 years ago