If you work an 8 hour shift on each weekend day and take two weeks off during the year, how many hours will you work in a year?

Answers

Answer 1

Answer: It can depend Izzybelivaz. I will calculate it for a leap year. 53-14=39, 39x8=312 hours. Now I will calculate it for a regular year. 52-14=38, 38x8=304 hours.

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An arch is 630 ft high and has 580=ft base. It can be modeled by the parabola =630\left [ 1-\left ( x/290 \right )^2 \right ]. Find the average height of the arch above the ground.The average height of the arch is __??? ft above the ground.

Answers

Answer:

420 ft

Step-by-step explanation:

The given equation of a parabola is

$y=630[1-\left((x)/(290)\right)^(2)]$

An arch is 630 ft high and has 580=ft base.

Find zeroes of the given function.

$y=0$

$630[1-\left((x)/(290)\right)^(2)]=0$

$1-\left((x)/(290)\right)^(2)=0$

$\left((x)/(290)\right)^(2)=1$

$(x)/(290)=\pm 1$

$x=\pm 290$

It means function is above the ground from -290 to 290.

Formula for the average height:

$\text{Average height}=(1)/(b-a)\int\limits^b_a f(x) dx$

where, a is lower limit and b is upper limit.

For the given problem a=-290 and b=290.

The average height of the arch is

$\text{Average height}=(1)/(290-(-290))\int\limits^(290)_(-290) 630[1-\left((x)/(290)\right)^(2)]dx$

$\text{Average height}=(630)/(580)[\int\limits^(290)_(-290) 1dx -\int\limits^(290)_(-290) \left((x)/(290)\right)^(2)dx]$

$\text{Average height}=(63)/(58)[[x]^(290)_(-290)-(1)/(84100)\left[(x^3)/(3)\right]^(290)_(-290)]$

Substitute the limits.

$\text{Average height}=(63)/(58)\left(580-(580)/(3)\right)$

$\text{Average height}=(63)/(58)((1160)/(3))$

$\text{Average height}=420$

Therefore, the average height of the arch is 420 ft above the ground.

Quinzel earns $1,254 each month. His total deductions are 20% of his pay. How much is deducted from his pay each month? A. $62.70 B. $627.20 C. $250.80 D. $245.72

Answers

The answer is C. 250.80

change the percent to a decimal (0.20) and multiply 1,254x0.20=250.80

Expression A: 6 – (–3) Expression B: |6 – (–3)| What is the value of Expression B?

Answers

Answer:

6 – (–3) = 9

|6 – (–3)| = 9

Step-by-step explanation:

Expression A:

$6-(-3)\n\n6+3\n\n9$

Expression B:

$|6-(-3)|\n\n|6+3|\n\n|9|\n\n9$

Hope this helps.

5 + 3 = 2/7p - 11

what is the value of p?

Answers

5 + 3 = 2/7p - 115 + 3 = 2p/7 - 11
8 = 2p/7 - 11
8 + 11 = 2p/7
19 = 2p/7
19 × 7 = 2p
133 = 2p
133/2 = p
p = 133/2

The answer is: p = 133/2 or p = 66.5.

Solve for H

.........

Answers

Answer:

h = b = 866.025 m or 866.03 rounded

Step-by-step explanation:

Sides:

a = 1000 m

b = 866.025 m

c = 500 m

Angles:

A = 90 °

B = 60 °

C = 30 °

Other:

P = 2366.03 m

s = 1183.01 m

K = 216506 m²

r = 183.013 m

R = 500 m

Agenda: A = angle A

B = angle B

C = angle C

a = side a

b = side b

c = side c

P = perimeter

s = semi-perimeter

K = area

r = radius of inscribed circle

R = radius of circumscribed circle

Shown are lines p , r , t , and w. Suppose angles 8 and 10 are congruent. Given this fact, which two line must be congruent? Show all work to receive credit.

Answers

Answer:

lines t and w must be parallel

Step-by-step explanation:

Angles 8 and 10 are alternate interior angles with respect to transversal r across lines t and w. If those angles are congruent, then lines t and w must be parallel.

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