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3 years ago

Which equation can be used to solve for c?

Mathematics

2 answers:

AlladinOne [14]3 years ago

5 0

From the given triangle in the photo, the lengths of the sides are 3m and a, the hypotenuse is c. One angle, opposite of 3m is given to be 50 degrees C. The right equation that would solve c is,
sin (50 degrees C) = 3m / c
Thus, the answer is the first choice.

Liula [17]3 years ago

5 0

Answer:

Option (a) is correct.

Step-by-step explanation:

Given a right angled triangle with given dimensions.

We have to find an equation that can be used to solve for side c,

Consider the given triangle ABC,

We know for ∠B = 50° , we have perpendicular = 3 m and hypotenuse is c,

Trigonometric ratio that defines the relation between perpendicular and hypotenuse is Sine.

Using trigonometric ratio,

$\sin\theta=\dfrac{Perpendicular}{ hypotenuse}$

$\sin 50^{\circ}=\frac{AC}{AB}$

$\sin 50^{\circ}=\frac{3}{c}$

Thus, Option (a) is correct.

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What is the ratio of 24

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It is 2,3,4,5 there are all of your answere

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Round 5,382,619 to the nearest 1000

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5,383,000 because you started with 5,382,619 and wanted the 1000 spot that is the number 2 but the number to the right is a 6 which in the order of rounding 6 is greater than 5 so the rule is. Greater than 5 round up.

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3 years ago

There is strong believe that language skills of Political science students are greater than students who study Finance. Research

BaLLatris [955]

Answer:

The null hypothesis is $H_o : \mu_1 = \mu_2$

The alternative hypothesis $H_a : \mu_1 > \mu_2$

$p-value = 0.232$

The decision rule is

Fail to reject the null hypothesis

Step-by-step explanation:

From the question we are told that

The value given is

S/N

1 7 5

2 4 3

3 8 7

4 8 8

5 7 9

6 7 5

7 6 5

Generally the sample mean for the first sample is mathematically represented as

$\= x _1 = \frac{\sum x_i }{n}$

=> $\= x _1 = \frac{7 +4 + \cdots + 6}{7}$

=> $\= x _1 = 6.714$

Generally the sample mean for the second sample is mathematically represented as

$\= x _2 = \frac{\sum x_i }{n}$

=> $\= x _2 = \frac{5 + 3+ \cdots + 5}{7}$

=> $\= x _2 = 6$

Generally the sample standard deviation for the first sample is mathematically represented as

$s_1 = \sqrt{\frac{\sum (x_i - \= x_1)^2 }{n-1 } }$

=> $s_1 = \sqrt{\frac{ (7 - 6.714 )^2 +(4 - 6.714 )^2 + \cdots + (6 - 6.714 )^2 }{7-1 } }$

=> $s_1 = 1.905$

Generally the sample standard deviation for the second sample is mathematically represented as

$s_2 = \sqrt{\frac{\sum (x_i - \= x_2)^2 }{n-1 } }$

=> $s_2 = \sqrt{\frac{ (5 - 6.714 )^2 +(3 - 6.714 )^2 + \cdots + (5 - 6.714 )^2 }{7-1 } }$

=> $s_1 = 4.33$

Generally the pooled standard deviation is

$s = \sqrt{\frac{(n_1 - 1 )s_1^2 + (n_2 - 1 )s_2^2}{n_1 + n_2 -2 } }$

=> $s = \sqrt{\frac{(7 - 1 )1.905^2 + (7 - 1 )4.333^2}{7 + 7 -2 } }$

=> $s = 1.766$

The null hypothesis is $H_o : \mu_1 = \mu_2$

The alternative hypothesis $H_a : \mu_1 > \mu_2$

Generally the test statistics is mathematically represented as

$t = \frac{\= x _1 - \= x_2 }{s * \sqrt{\frac{1}{n_1} + \frac{1}{n_2}} }$

=> $t = \frac{6.714 - 6 }{1.766 * \sqrt{\frac{1}{7} + \frac{1}{7}} }$

=> $t = 0.757$

Generally the degree of freedom is mathematically represented as

$df = n_1 + n_2 - 2$

=> $df = 7 + 7 - 2$

=> $df = 12$

From the t distribution table the probability of $t = 0.757$ at a degree of freedom of $df = 12$ is

$t_{ 0.757 , 12} = 0.232$

Generally the p-value is

$p-value = t_{ 0.757 , 12} = 0.232$

From the values obtained we see that $p-value > \alpha$ hence

The decision rule is

Fail to reject the null hypothesis

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Wha it is 2,200 divided by 30 and 2,300 divided by 30

Paladinen [302]

Answer:

2,200/30=73.3333333

2,300/30=76.6666667

Step-by-step explanation:

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3 years ago

Read 2 more answers

A line with a slope of 2 passes through the points (0,4) and (-6,v). What is the value of v?

krok68 [10]

To solve this problem, we should create an equation using the given information. To do this, we should calculate the slope between the two points as if they were regular points, giving us:

change in y/change in x = (v-4)/(-6-0) = (v-4)/(-6)

Since we know that the slope is 2, we can set our calculated value for the slope of the line for the equation (v-4)/(-6) equal to 2, as shown below:

(v-4)/(-6) = 2

To solve this equation, we should multiply both sides of the equation by -6 to get rid of the denominator on the left side of the equation.

v-4 = -12

Next, we should add 4 to both sides of the equation to get the variable v alone on the left side of the equation, as shown below:

v = -8

Therefore, v =-8 is your answer.

Hope this helps!

4 0

3 years ago