Find, to the nearest degree, the angle of elevation of the sun when a person 170 cm tall casts of shadow 220 cm long.

Find all the missing angles. All answers are assumed to be in degrees.

Vlad [161]

Answer:

1. 63
2. 49°
3. 87°
4. 44°

Step-by-step explanation:

First, I worked out Angle 3 as this angle and 93° are on a straight line:

So I made an equation:

180 = 93 + Angle 3

180-93 = Angle 3

87 = Angle 3

Now we have enough information for Angle 4 as angles in a triangle add up to 180

87 + 49 + Angle 4 = 180

Angle 4 = 180 - 87 - 49

Angle 4 = 44
Using the rule of opposite angles:
I worked out that Angle 2 must be 49 as well.
This is now enough information to work out Angle 1 as angles in a triangle add up to 180
49 + 68 + Angle 1 = 180

Angle 1 = 180-49-68

Angle 1 = 63

3 0

2 years ago

Please Help me, I will give brainiest and 100 points

8_murik_8 [283]

Answer:

3242

Step-by-step explanation:

6

7 0

2 years ago

PLZZZ! I WILL GIVE YOU BRAINLYIST! I'M IN CLASS AND I'M JUST DUM, ITS AN SUPER EASY QUESTION PLZ

BartSMP [9]

Answer:

5x>=125 [third option]

at least 25 bags

Step-by-step explanation:

since we want to raise at least $125 we need $125 or more

so $5*x must be greater or equal to $125 making the third option the answer

as for the second part we simply divide 125 by 5, giving us 25 bags

6 0

3 years ago

Read 2 more answers

What is 1,256 rounded to the nearest hundredth<br>

Eva8 [605]

Answer:

1,300

Step-by-step explanation:

1256, if something is more than 5 then it goes up but if it's 4 or lower it goes down so 1256 rounded up to the nearest hundredth is 1300.

5 0

3 years ago

Read 2 more answers

Given two dependent random samples with the following results: Population 1 71 68 50 84 76 76 80 79 Population 2 76 63 54 80 79

skelet666 [1.2K]

Answer:

$t=\frac{73-73.875}{\sqrt{\frac{(10.570)^2}{8}+\frac{(10.106)^2}{8}}}}=-0.169$

$df=n_{1}+n_{2}-2=8+8-2=14$

Since is a bilateral test the p value would be:

$p_v =2*P(t_{(14)}$

So the p value is a very high value and using any significance level given $\alpha=0.2$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the means are similar for both groups

Step-by-step explanation:

Data given and notation

1:[71 68 50 84 76 76 80 79]

2:[76 63 54 80 79 82 75 82]

$\bar X_{1}=73$ represent the mean for the sample 1

$\bar X_{2}=73.875$ represent the mean for the sample 2

$s_{1}=10.570$ represent the sample standard deviation for the sample 1

$s_{2}=10.106$ represent the sample standard deviation for the sample 2

$n_{1}=8$ sample size for the group 1

$n_{2}=8$ sample size for the group 2

t would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the mean for both groups are equal , the system of hypothesis would be:

Null hypothesis: $\mu_{1} = \mu_{2}$

Alternative hypothesis: $\mu_{1} \neq \mu_{2}$

If we analyze the size for the samples both are less than 30 and the population deviations are not given, so for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}}$ (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

Calculate the statistic

We can replace in formula (1) the results obtained like this:

$t=\frac{73-73.875}{\sqrt{\frac{(10.570)^2}{8}+\frac{(10.106)^2}{8}}}}=-0.169$

Statistical decision

For this case we don't have a significance level provided $\alpha$ , but we can calculate the p value for this test. The first step is calculate the degrees of freedom, on this case:

$df=n_{1}+n_{2}-2=8+8-2=14$

Since is a bilateral test the p value would be:

$p_v =2*P(t_{(14)}$

So the p value is a very high value and using any significance level given $\alpha=0.2$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the means are similar for both groups

5 0

4 years ago