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3 years ago

Please show all work with the answers please

1 answer:

5 0

Part A

The angle of elevation of the staire case is given by

$Angle\ of\ elevation=\tan^{-1}{ \frac{Vertical\ rise}{landing} } \\ \\ =\tan^{-1}{ \frac{14}{20} }\approx35^o$

Part B:

<span>If the landing of each step is changed to 17 inches and the elevation of each step to 21 inches, the new angle of elevation for the staircase is given by

</span><span> $Angle\ of\ elevation=\tan^{-1}{ \frac{Vertical\ rise}{landing} } \\ \\ =\tan^{-1}{ \frac{17}{21} }\approx39^o$ </span>

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4 years ago

Read 2 more answers

What is 86 14/24 + 7 13/24

Lera25 [3.4K]

Answer:

94 3/24

Step-by-step explanation:

86 14/24 + 7 13/24 = 86 + 7 + 14/24 + 13/24

= 93 + (14+13)/24

= 93 + 27/24

{here 27/24 is improper fraction. so convert to mixed fraction }

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3 years ago

A car travels 350 miles on 20 gallons of gas how many gallons will be used to travel 875 miles

tino4ka555 [31]

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3 years ago

A student's grades in the three tests in College Algebra are 85, 60, and 69. a) How many points does the student need on the fin

Anastaziya [24]

Answer:

(a) The student need 82 points on the final to average 74.

(b) The student must score 41 points on the final, assuming that the final carries double the weight.

Step-by-step explanation:

We are given that a student's grades in the three tests in College Algebra are 85, 60, and 69.

As we know that the formula for calculating the average of numbers is given by;

Average (Mean) = $\frac{\text{Sum of all values}}{\text{Number of observations}}$

(a) Let the points student need on the final test to average 74 be ' $x$ '.

So, Average of all four test = $\frac{85+60+69+x}{4}$

$74 = \frac{85+60+69+x}{4}$

$74 = \frac{214+x}{4}$

$214+x =74 \times 4$

$x = 296-214$

$x=82$

Hence, the student needs 82 points on the final to average 74.

(b) It is given that the final carries double the weight, this means that let the points student need on the final test to average 74 be ' $2x$ '.