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Gennadij [26K]
3 years ago
6

PLEASE HELP ASAP!!!!!

Mathematics
1 answer:
attashe74 [19]3 years ago
7 0
For this case what we must do is use the law of cosines.
 We then have the following equation:
 c ^ 2 = a ^ 2 + b ^ 2 - 2 * a * b * cos (x)

 Where,
 a, b: sides of the triangle
 x: angle between sides a and b.
 Substituting values we have:
 c^2 = 90^2 + 75^2 - 2*90*75*cos(85)

 Clearing the value of c we have:
 c =  \sqrt{ 90^2 + 75^2 - 2*90*75*cos(85)}
 Answer:
 
An expression that is equivalent to how many feet the oak trees are from each other is:
 
c = \sqrt{ 90^2 + 75^2 - 2*90*75*cos(85)}
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A mechanic has a radiator hose that measures 32 feet long. It needs to be cut into pieces equaling 5 feet 3 inches. How many who
kirza4 [7]

Answer:

6 pieces

Step-by-step explanation:

6x5=30

6x3=18

18-12=6

the total would be 31ft and 6 inches

6 0
4 years ago
Read 2 more answers
11m-14&lt;7m+14 work out<br>​
mixas84 [53]

Step-by-step explanation:

11m - 7m < 14 + 14

4m < 28

m < 28 / 4

m < 7

7 0
3 years ago
1^2 + 2^2 + 3^2 +.... + 28^2 + 29^2 + 30^2 = ......<br> Find the value <br> Thank you!
liberstina [14]

Step-by-step explanation:

The sum of consecutive squares is

1^2+2^2+\dots+n^2=\frac16n(n+1)(2n+1)

Therefore

1^2+2^2+\dots+30^2=\frac16(30)(31+1)(2\cdot30+1) = 9455

8 0
3 years ago
In a​ study, researchers wanted to measure the effect of alcohol on the hippocampal​ region, the portion of the brain responsibl
schepotkina [342]

Answer:

t=\frac{8.19-9.02}{\frac{0.8}{\sqrt{17}}}=-4.28    

The degrees of freedom are given by

df=n-1=17-1=16  

The p value would be given by this probability:

p_v =P(t_{(16)}  

Since the p value is lower than the significance level provided of 0.01 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly lower than 9.02 cm^3

Step-by-step explanation:

Information given

\bar X=8.19 cm^3 represent the sample mean

s=0.8 cm^3 represent the sample deviation

n=17 sample size  

\mu_o =9.02 represent the value to verify

\alpha=0.01 represent the significance level for the hypothesis test.  

t would represent the statistic

p_v represent the p value

System of hypothesis to check

We want to check if the true mean is less than the normal value of 9.02 cm^3, the system of hypothesis would be:  

Null hypothesis:\mu \geq 9.02  

Alternative hypothesis:\mu < 9.02  

The statistic for this case is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info given we got:

t=\frac{8.19-9.02}{\frac{0.8}{\sqrt{17}}}=-4.28    

The degrees of freedom are given by

df=n-1=17-1=16  

The p value would be given by this probability:

p_v =P(t_{(16)}  

Since the p value is lower than the significance level provided of 0.01 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly lower than 9.02 cm^3

6 0
3 years ago
The sum of three consecutive odd number is one hundred fifty-nine. what is the smallest of the three numbers?
Black_prince [1.1K]
Let “n” represent the least of the odd numbers. Then the next two will be:
n + 2 and n + 4 that their sum is 159.

n + (n + 2) + (n + 4) = 159

3n + 6 = 159

3n = 153

n = 51

And to check: 51 + 53 + 55 = 159
4 0
3 years ago
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