MATHEMATICS HIGH SCHOOL

A six-foot person walks from the base of a broadcasting tower directly toward the tip of the shadow cast by the tower. When the person is 124 feet from the tower and 3 feet from the tip of the shadow, the person's shadow starts to appear beyond the tower's shadow. (a) Draw a right triangle that gives a visual representation of the problem. Label the known quantities of the triangle and use a variable to represent the height of the tower.

Answers

Answer 1
Answer:

Answer:

ghfvhgfcv

Step-by-step explanation:
Answer 2
Answer:

Answer:

A six foot person walks from the base of a broadcasting tower directly toward

A six-foot person walks from the base of a broadcasting tower directly toward the tip of the shadow cast by the tower. When the person is 131 feet from the tower and 3 feet from the tip of the shadow, the person's shadow starts to appear beyond the tower's shadow.

Step-by-step explanation:

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If 2=6 3=12 4=20 5=30 6=42 then 9=?

Answers

2=6\n \n 2\cdot (2+1)=6\n \n 3=12\n \n 3\cdot (3+1)\cdot 12\n \n 4=20\n \n 4\cdot (4+1)=20\n \n 5=30\n \n 5\cdot (5+1)=30\n \n 6\cdot (6+1)=42\n \n x\cdot (x+1)={ x }^( 2 )+x\n \n for\quad x=9\n \n 9\cdot (9+1)=\quad { 9 }^( 2 )+9\quad =\quad 81+9\quad =\quad 90

Jack mows the lawn in 3 hours. Jane mows the same yard in 4 hours. If they worked together how much time would it take them to mow the yard?

Answers

Jack mows 1/3 of the lawn each hour.
Jane mows 1/4 of the lawn each hour.

Working together, they mow (1/3 + 1/4) of the lawn each hour.

In order to add the fractions, you need a common denominator.
12 will work:

(1/3 lawn/hour + 1/4 lawn/hour) = (4/12 + 3/12) = 7/12 lawn/hour.

This rate of work produces 12/7 hour/lawn.

12/7 hour = 1 hour    42 minutes    51.4 seconds
(1)/(3)+(1)/(4)=(1)/(x)\n (4)/(12)+(3)/(12)=(1)/(x)\n (7)/(12)=(1)/(x)\n 7x=12\n x=(12)/(7)\hbox { h}=1\hbox{ h }42\hbox{ min } 51.43 \hbox{ s}

Hardcover books are on sale for 15% off. Louise has chosen a hardcover book that normally sells for $20.00. How much will Louise save? Explain your answer.

Answers

Answer:

$19.85

Step-by-step explanation:

20-0.15=x

Switch\: sides

x=20-0.15

\mathrm{Subtract\:the\:numbers:}\:20-0.15=19.85

x=19.85

Suppose you throw a dart at a circular target of radius 10 inches. Assuming that you hit the target and that the coordinates of the outcomes are chosen at random, find the probability that the dart falls (a) within 2 inches of the center. (b) within 2 inches of the rim. (c) within the first quadrant of the target. (d) within the first quadrant and within 2 inches of the rim.

Answers

Answer:

a) The probability is 0.04

b) The probability is 0.36

c) The pprobability is 0,25

d) The probability is 0.09

Step-by-step explanation:

Lets calculate areas:

the target has a radius of 10 inces, hence the target area has a area on 10²*π = 100π square inches.

a) A circle of 2 inches of radius has an area of 2²π = 4π square inches, hence the probability of hitting that area is 4π/100π = 1/25 = 0.04

b) If the dart s within 2 inches of the rim, then it is not at distance 8 inches from the center (that is the complementary event). The probability for the dart to be at 8 inches of the center is 8²π/100π = 64/100 = 16/25 = 0.64, thus, the probability that the dart is at distance 2 or less from the rim is 1-0.64 = 0.36.

c) The first quadrant has an area exactly 4 times smaller than the area of the target (each quadrant has equal area), thus the probability for the dart to fall there is 1/4 = 0.25

d) If the dart is within 2 inches from the rim (which has probability 0.36 as we previously computed), then it will be equally likely for the dart to be in either of the 4 quadrants (the area that is within 2 inches from the rim forms a ring and it has equal area restricted on each quadrant). Therefore, the probability for the dice to be in the first qudrant and within 2 inches from the rim is 0.36*1/4 = 0.09.

16.When writing a repeating decimal as a fraction, does the number of repeatingdigits you use matter? Explain.

Answers

Answer:

Yes.  It needs to be clear that it is on going.  So as long as it is evident that it repeats, you're good.

Step-by-step explanation:
Yes it does matter i think

Keiko spent a total of $60
at the grocery store. Of this amount, she spent
$27
on fruit. What percentage of the total did she spend on fruit?

Answers

she spent 27 out of 60
27/60 = 0.45...multiply by 100 to get the percent 0.45(100) = 45%
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