MATHEMATICS HIGH SCHOOL

In UVW the measure of W=90 the measure of U=39 and WU=96 feet. Find the length of UV to the nearest tenth of a foot.

Answers

Answer 1

Answer:

Step-by-step explanation:

123.5

Answer 2

Answer:

Answer:123.5

Step-by-step explanation:

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Find if f(x) = 3x and g(x) = x + 1.

Answers

$f\circ g=f(g(x))\n\nf\circ g=3(x+1)=3x+3$

How many different 5-person subcommittees can be formed from a club having 12 members

Answers

Given that there are 12 persons, the first choice may be in 12 different ways, the second choice may be in 11 different ways, ther third in 10 different ways, the fourth in 9 different ways and the fith in 8 different ways, for a total of:

12x11x10x9x8 different combinations.

Now you have to take in account that 5x4x3x2 are repetitions. So you have to divide the previos counting by 5x4x3x2.

(12x11x10x9x8)/(5x4x3x2) = 792 different subcommittees.

Also, you can use the formula for combinations: C(m,n) = m! / (n! (m-n)!)

C (12, 5) = 12! / (5!) (12-5)! = [12x11x10x9x8x7!] / [5! 7!] = [12x11x10x9x8]/[5x4x3x2] = 792

Los Angeles Airport bears 140 degrees from San Francisco Airport and is 540 km away. A pilot is planning a direct flight from San Francisco Airport to Los Angeles Airport to leave at 2 P.M. The plane's air speed will be 640 km/h, and there will be a 60 km/hwind blowing from 290 degrees. What should the compass heading be,and what is the plane's estimated time of arrival (ETA) to the nearest minute?

Answers

Create a triangle starting with the length of 540 coming out of SF to LA bearing 140.
This looks like it leaves SF in IV quadrant and enters LA in II quadrant. The wind will take the plane more to the east (right). Therefore the pilot must aim to the west (left) in order for the wind to push it to the intended destination of LA. The second side of the triangle should come out of LA from the II quadrant bearing 290. The length of this side is 60t (60 km/h * t = time flying). The third side of the triangle connects the first two. There for it comes out of SF at some unknown angle > 140 and connects with the 60t side. The length of this third leg is 640t. (640 km/h * t = time flying). The angle between the 540 side and the 60t side is 30. This is found because the 540 side enters LA in 2nd quadrant as 130 angle . The 60t side enters LA in 2nd quadrant as 160 angle. Using law of sin's: sin 30/640t = sin x/60t. The t's cancel and you are left with sin x = 3/64. When solving for the angle x you get x = 2.6867 degrees. Adding this to the bearing of 140, the compass bearing should be 142.6867 or 142.7 degrees. To find the value of t, you use the law of sin's to get sin 30/640t = (sin (180 - 30 - 2.6867))/540. Solving for t gives you: t = .7811. This is in hours. To convert to minutes multiply by 60 to get t = 46.87 minutes. Add this to the 2pm departure time to get 2:47 pm arrival time.

What is the slope of (1,9) and (6,34)

Answers

Answer:

$m=5$

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg I

Slope Formula: $m=(y_2-y_1)/(x_2-x_1)$

Step-by-step explanation:

Step 1: Define

Point (1, 9)

Point (6, 34)

Step 2: Find slope m

Substitute: $m=(34-9)/(6-1)$
Subtract: $m=(25)/(5)$
Divide: $m=5$

Answer:

The slope is 5

Step-by-step explanation:

so you use formula m= y2-y1/x2-x1 and use 34 as y2, 9 as y1, 6 as x2 and 1 as x1 then plug in numbers when using the formula and do the math and get your slope

Victor Malaba has a net income of $1,240 per month. If he spends $150 on food, $244 on a carpayment, $300 on rent, and $50 on savings, what percent of his net income can he spend on other things
I'm getting lost when solving for x
Any help is greatly appreciated

Answers

$1,240-$150-$244-$300-$50=$496 left
496/1240=x/100
x=49600/1240=40%
All you have to do is use proportions.
=)=)=)

Henri bought 3 jars of spaghetti sauce. He used a coupon that reduced the cost of each jar by $0.75. If he paid $6.72 altogether, what was the regular price?