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pentagon [3]
3 years ago
10

If SR is 4.5cm and TR is 3cm, what is the measure in degrees of angle S?

Mathematics
1 answer:
kow [346]3 years ago
5 0

Answer: The measure in degrees of angle S is 33.7°

Step-by-step explanation: Please see the attachments below for the complete question as well as the Step-by-step explanation

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The perimeter of a rectangle is 62 m. The length is four more than two times the width. What is the length?
Travka [436]
--------------------------------------------------
Define length and width
--------------------------------------------------
Let x be the width
width = x
Length = 2x + 4

--------------------------------------------------
Formula
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Perimeter = 2(length + width)

--------------------------------------------------
Find Length and width
--------------------------------------------------
62 = 2(2x + 4 + x)
62 = 2(3x + 4)            <em> ← combine like terms  </em> 
62 = 6x + 8                 <em>← remove bracket </em>  
62 - 8 = 6x                  <em>← minus 8 on both sides </em>
6x = 54                      <em> ← swap sides  </em>
x = 54 ÷ 6                   <em>← divide by 6 on both sides</em>
<em>x = 9 m</em>

--------------------------------------------------
Find Length and Width
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Width = x = 9 m
Length = 2x + 4 = 2(9) + 4 = 22 m

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Answer: Length = 22m
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3 0
3 years ago
Read 2 more answers
I’m sure this is easy but i'm gonna ask anyway
Arada [10]
No, it's always okay to ask if you don't understand a question.  Anyway, for this problem, we just have to plug in the value for <em>V </em>to solve for <em>P</em> :

P = 4V^{ \frac{1}{3}} \\ P = 4(125)^{ \frac{1}{3}}

A number to the power of 1/3 is the same as taking a cube root.

P = 4(125)^{ \frac{1}{3}} \\ P = 4(5) \\ P=20

The perimeter of one face of the cube is 20m.
5 0
3 years ago
Help will mark Brainliest
Illusion [34]

Answer:

x=116°

Step-by-step explanation:

180° - 64° = 116°

4 0
2 years ago
Read 2 more answers
Based on an indication that mean daily car rental rates may be higher for Boston than for Dallas, a survey of eight car rental c
Elina [12.6K]

Answer:

t=\frac{(47 -44)-(0)}{3\sqrt{\frac{1}{8}+\frac{1}{9}}}=2.058

The degrees of freedom are:

df=8+9-2=15

And the p value would be:

p_v =P(t_{15}>2.058) =0.0287

Since we have a p value lower than the significance level given of 0.05 we can reject the null hypothesis and we can conclude that the true mean for car rental rates in Boston are significantly higher than those in Dallas

Step-by-step explanation:

Data given

n_1 =8 represent the sample size for group Boston

n_2 =9 represent the sample size for group Dallas

\bar X_1 =47 represent the sample mean for the group Boston

\bar X_2 =44 represent the sample mean for the group Dallas

s_1=3 represent the sample standard deviation for group Boston

s_2=3 represent the sample standard deviation for group Dallas

We can assume that we have independent samples from two normal distributions with equal variances and that is:

\sigma^2_1 =\sigma^2_2 =\sigma^2

Let the subindex 1 for Boston and 2 for Dallas we want to check the following hypothesis:

Null hypothesis: \mu_1 \leq \mu_2

Alternative hypothesis: \mu_1 > \mu_2

The statistic is given by this formula:

t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{S_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}

Where t follows a t student distribution with n_1+n_2 -2 degrees of freedom and the pooled variance S^2_p is given by this formula:

\S^2_p =\frac{(n_1-1)S^2_1 +(n_2 -1)S^2_2}{n_1 +n_2 -2}

Replacing we got:

\S^2_p =\frac{(8-1)(3)^2 +(9 -1)(3)^2}{8 +9 -2}=9

And the deviation would be just the square root of the variance:

S_p=3

The statitsic would be:

t=\frac{(47 -44)-(0)}{3\sqrt{\frac{1}{8}+\frac{1}{9}}}=2.058

The degrees of freedom are:

df=8+9-2=15

And the p value would be:

p_v =P(t_{15}>2.058) =0.0287

Since we have a p value lower than the significance level given of 0.05 we can reject the null hypothesis and we can conclude that the true mean for car rental rates in Boston are significantly higher than those in Dallas

5 0
3 years ago
Kate's 85 on her english test was 37 points less than twice the grade on her science test.
Sever21 [200]
58+37 is 122 since its double / by 2 and you get 61
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2 years ago
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