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evablogger [386]
3 years ago
13

Angle 1 measure 75 degree what is its complement

Mathematics
1 answer:
dalvyx [7]3 years ago
3 0
I think it’s 76 because I added it that’s a way i solved it but you can also multiple it by 1 and it will give the the same answer
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Mr. Blue drove from Allston to Brockton, a distance of 105 miles. On his way back, he increased his speed by 10 mph. If the jour
andrew-mc [135]

Answer:

His original speed was 60 mph.

Step-by-step explanation:

The average speed formula is shown below:

speed = distance / time

For the first leg of the trip Mr. Blue drove at a speed of "x" mph, for a distance of 105 miles, therefore the time that took to complete the trip is:

time 1 = distance / speed

time 1 = 105 / x h

On the second leg of the trip Mr. Blue drove faster at a speed of "x + 10" mph, so the time it took him to complete the trip was 15 minutes less, therfore:

time 2 = time1 - (15/60) = (105/x) - 0.25 = (105 - 0.25*x)/x h

Applyint the time and speed from the second leg to the average speed formula we have:

x + 10 = {105/[(105 - 0.25*x)/x]}

x + 10 = 105*x/(105 - 0.25*x)

(x + 10)*(105 - 0.25*x) = 105*x

105*x + 1050 -0.25*x² - 2.5*x = 105*x

-0.25*x² -2.5*x + 1050 = 0 /(-0.25)

x² + 10*x - 4200 = 0

x1 = [-(10) + sqrt((10)² - 4*(1)*(-4200))]/2 = 60

x2 = [-(10) - sqrt((10)² - 4*(1)*(-4200))]/2 = -70

Since his speed couldn't be negative the only possible value was 60 mph.

5 0
3 years ago
Read 2 more answers
Pls help me with these 2 questions i will Mark brainlist:( !!
Sav [38]

Answer:

6. b. 50

7. d. 12

Step-by-step explanation:

6. 80% is equal to 0.8.

0.8x =40.

Divide 0.8 by 40 to get x.

x=50.

7. If he needs 3 eggs for 30 cookies, we divide 120 by 30 to get 4.

We multiply 4*3 to find the total amount of eggs needed.

4*3= 12

8 0
3 years ago
Please help no one else can and I am confused
Reptile [31]

just multiply 45 time 31!

3 0
3 years ago
The diameter of a spindle in a small motor is supposed to be 5.8 millimeters (mm) with a standard deviation of 0.14 mm. If the s
Citrus2011 [14]

Answer: A. H0: Mean= 5 and Ha: Mean is not equal to 5.

Step-by-step explanation:

Definitions:

  • Null hypothesis (H_0) is a statement describing population parameters according to the objective of the study. It takes "≤,≥,=" signs.  
  • Alternative hypothesis(H_a)  is a statement opposite to the null hypothesis elaborating population parameters according to the objective of the study. It takes ">, <, ≠" signs.

Given: The diameter of a spindle in a small motor is supposed to be 5.8 millimeters.

If the spindle is either too small or too large, the motor will not work properly. so, Mean diameter ≠ 5.8 to work correctly.

i.e. H_a: \text{Mean}\neq 5.8

So, H_a: \text{Mean =5.8}

The required null and alternative hypotheses:

H0: Mean= 5 and Ha: Mean is not equal to 5.

7 0
3 years ago
How to divide 49 yd in the ratio 1:6?​
Trava [24]

Answer:

7:42

Step-by-step explanation:

First off you add the ratio together-

6+1=7

Then you divide-

49÷7= 7

7 is equal to 1 in this ratio.

To write out the ratio you need to multiplicate-

7×1=7

and

6×7= 42

Leaving the as-

7:42

6 0
3 years ago
Read 2 more answers
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