MATHEMATICS HIGH SCHOOL

Asked 4 times, please help

Answers

Answer 1

Answer:

Answer:

Denote the two points are A and B, the balloon is C. Then we have,

Side AB = 9 miles

Angle CAB (angle A) = 27 deg

Ange CBA (angle B) = 45 deg

=> Angle ACB (angle C) = 180 - 27 - 45 = 108 deg

Applying the sine theorem:

AB/sinC = BC/sinA

=> BC = AB x sinA/sinC = 9 x sin27/sin108 = 4.3 miles

Denote CH as the height from C to side AB (or distance from ground to balloon), we have:

CH = BC x sin B = 4.3 x sin*45 = ~3.04 miles

=> Distance from ground to balloon: ~3.04 miles

Hope this helps!

Answer 2

Answer:

3.0 miles

Step-by-step explanation:

Let h be the height

Tan(27) = h/b

h = btan(27)

Tan(45) = h/(9-b)

(9-b)tan(45) = h

(9-b)tan(45) = btan(27)

9tan(45) = b[tan(45) + tan(27)]

b = 5.962138633

h = btan(27) = 3.037861367

Segementhaveangleof120degree

sorryissseaaghenhiaate

120 is the right answer

What is 0.96 recurring as a fraction

Answers

Answer:

96/100

Step-by-step explanation:

Numerator & Denominator for 0.96 as a Fraction

0.96 = 0 96/100

numerator/denominator = 96/100

Level of Precision for 0.96 = 0 96/100

Customize the level of precision to break 0.96 down further into a fraction. Note that the last digit after the precision point is rounded up or down accordingly.

With that in mind decimal 0.96 with a precision point of two has the following fractional breakdown:

96/100

= 48/50

= 24/25

A survey of 80 students found that 24 students both play in the band and play a sport. But 22 students are not in band and do not play a sport. There are 48 students in the band. If being in band is the row variable and playing sports is the column variable, fill in the labels in the table. A 4-column table with 3 rows. Column 1 has entries in band, not in band, total. Column 2 is labeled play a sport with entries a, d, g. Column 3 is labeled do not play a sport with entries b, e, h. Column 4 is labeled total with entries c, f, i.

Which of the following correctly represents the given data in the problem?

A: a = 24, g = 48, h = 22, i = 80
B: a = 22, c = 80, d = 24, i = 48
C: a = 24, b = 48, c = 22, i = 48
D: a = 24, c = 48, e = 22, i = 80

Answers

Answer:

It's D

Step-by-step explanation:

I took the lesson E2020

Answer:

b = 24

d = 10

f = 32

g = 34

h = 46

Step-by-step explanation:

Matthew is going to drive from Salt Lake City, Utah, to Las Vegas, Nevada. His car travels a consistentnumber of miles

per gallon of gasoline and he has some gasoline in his tank already. Matthew writes the

equation 25(x + 3) = 424, where x represents the number of gallons of gasoline he will need to purchase to

complete the trip.

Identify the meaning of each of the constants in Matthew's equation in the context of the problem, then solve

the equation to determine how many gallons of gasoline he must purchase.

Answers

Answer: 14 gallons of gasoline.

Step-by-step explanation:

given data:

25(x + 3) = 424

where x is the number of gallon of gasoline needed to purchase.

Solution.

25(x + 3) = 424

first we open the bracket

25x + 75 = 424

collect like terms

25x = 424 – 75

25x = 349

divide both sides by 25

25x/25 = 349/25

x = 13.96

x = 14

mathew needs to get 14 gallons of gasoline.

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