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timofeeve [1]
3 years ago
5

A dog is standing 5ft from the base of a tree trying to catch a cat that is 16 ft up in the tree. What is the angle of elevation

from the point the dog standing on the ground to the cat in the tree?
May i have some help
Mathematics
1 answer:
evablogger [386]3 years ago
3 0

Answer:

72.64°

Step-by-step explanation:

Tan θ 16/5

θ= tan-1 (16/5)

=72.64°

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How do you find the hypotenuse if you have 2 side lengths one is 40 m and the other is 5 cm ?
Svet_ta [14]

Answer:

40.3 m

Step-by-step explanation:

a²+b²=c²

40²+5²=c²

1600+25= 1625

√1625 = 40.3112

8 0
3 years ago
six times jason collection of books and one third of nathan collection add up to 134 books. one third of jason collection and na
raketka [301]

Answer:

j = 21 and n = 14

Step-by-step explanation:

we have the equations:

6j + n/3 = 134

j/3 + n = 31

54j + 3n = 1206

j + 3n = 93

53j = 1113

j = 21

(21)/3 + n = 31

7 + n = 31

n = 14

6 0
3 years ago
Consider the following hypothesis test.H0:μ1−μ2=0 Ha:μ1−μ2≠0The following results are for two independent samples taken from the
Julli [10]

Answer:

a) z =\frac{104-106}{\sqrt{\frac{8.4^2}{80} +\frac{7.6^2}{70}}}= -1.53  

b) p_v =2*P(z

c) Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance

Step-by-step explanation:

Information given

\bar X_{1}= 104 represent the mean for 1

\bar X_{2}= 106 represent the mean for 2

\sigma_{1}= 8.4 represent the population standard deviation for 1

\sigma_{2}= 7.6 represent the population standard deviation for 2

n_{1}=80 sample size for the group 1

n_{2}=70 sample size for the group 2

z would represent the statistic

Hypothesis to test

We want to check if the two means for this case are equal or not, the system of hypothesis would be:

H0:\mu_{1}=\mu_{2}

H1:\mu_{1} \neq \mu_{2}

The statistic would be given by:

z =\frac{\bar X_1-\bar X_2}{\sqrt{\frac{\sigma^2_1^2}{n_1} +\frac{\sigma^2_2^2}{n_2}}}=(1)

Part a

Replacing we got:

z =\frac{104-106}{\sqrt{\frac{8.4^2}{80} +\frac{7.6^2}{70}}}= -1.53

Part b

The p value would be given by this probability:

p_v =2*P(z

Part c

Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance

6 0
3 years ago
Marcella bought a 25-ounce bottle of olive oil for $5.88. She used 60% of the olive oil in two weeks. What is the cost of the pe
horrorfan [7]
The answer is $3.53
$5.88 * 0.60 = 3.528
5 0
3 years ago
Can someone help me with solving systems by graphing please? (:​
Ket [755]

Answer:

Step-by-step explanation: In graphing there are two letters x, and y also called X-axis and Y-axis. They are called ordered pairs. To graph on the bottom of the graph are numbers 1-10 or more, those are X. At the left is a straight line numbers 1-10 or more. Now to actually graph if you get an ordered pair lets say, 3,4. the number on the left is the X, and the number on the right is the Y. There is an end in the X-axis, and Y-axis. Start from there, you will always start at the bottom then the left. Start at the 0,0 go three times to left at the bottom, then at the left go up four times. when you get 3,4 add a dot. Then that's your answer. It pretty easy. Hope it helps you!

8 0
3 years ago
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