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Hoochie [10]
3 years ago
14

when Elena 's car moves forward such that each tire make one full rotation ,the car has traveled 72 inches .how many full rotati

ons will the tire need to make for Elena's car to travel 10 yards
Mathematics
1 answer:
Marat540 [252]3 years ago
6 0
It will take 5 full rotations for Elena's car to travel ten yards

explanation: 10 yards=30 feet, and there are 12 inches in one foot. multiply 30 by 12. once you do that, you get 360. next, divide 360 by the 72 inches in each full rotation. 360/72=5. so the answer is 5 full rotations
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A guy wire to a tower makes a 71° angle with level ground. At a point 36 ft farther from the tower than the wire but on the same
lilavasa [31]

The length of the wire is 37.15 ft

<u>Explanation:</u>

The figure is attached for the reference.

tan (71) = \frac{y}{x}

tan (36) = \frac{y}{36+x}

So,

tan(36) (36 + x) = y

tan(71) = \frac{tan (36) (36 + x )}{x}

2.9 = \frac{0.73 (36 + x)}{x} \\\\2.9 x = 26.28 + 0.73x\\\\2.17x = 26.28\\\\x = 12.11 ft

Substituting x = 12.11 ft in equation 1:

tan (71) = \frac{y}{12.11} \\\\2.9 X 12.11 = y\\\\y = 35.119 ft

Length of the wire, z = \sqrt{x^2 + y^2}

So,

z = \sqrt{(12.11)^2 + (35.119)^2} \\\\z = \sqrt{146.6521 + 1233.3442} \\\\z = 37.15 ft

Therefore, the length of the wire is 37.15 ft

7 0
3 years ago
Anybody know the answer to any of these
Tresset [83]
<h3>Answers :-</h3>
  • Answer 1 → tanZ = 21/28 = 3/4
  • Answer 2 → cosC = 16/34 = 8/17
  • Answer 3 → sinC = 28/35 = 4/5
  • Answer 4 → tanX = 24/32 = 3/4
  • Answer 5 → cosA = 20/34 = 10/17
  • Answer 6 → sinA = 32/40 = 4/5
  • Answer 7 → sinZ = 24/32 = 3/4
  • Answer 8 → sinC = 14/50 = 7/25
7 0
3 years ago
After a dilation with a center of (0, 0), a point was mapped as (4, –6) → (12, y). A student determined y to be –2. Evaluate the
crimeas [40]
That would not be right because 4 times 3 equals 12 and -6 times 3 equals -18.
8 0
4 years ago
Which of the following could be the ratio of the length of the longer leg of a 30 60 90 triangle to the length of its hypotenuse
yan [13]
For 30 60 90 triangles, the ratio of the side lengths is
\frac{1}{2} : \frac{ \sqrt{3} }{2} :1
where the first is the shorter leg, the second is the longer leg, and the third is the hypotenuse (the longest side that doesn't form a 90 degree angle)

so the ratio of the longer leg to the hypotenuse is <span>\frac{ \sqrt{3} }{2} :1
or
</span>\frac{ \frac{ \sqrt{3} }{2} }{1}
<span>which equals </span>\frac{ \sqrt{3} }{2}
6 0
3 years ago
SHOW YOU WORK AND EXPLAIN PLS I WILL MARK YOU BRAINLIEST PLEASE.
KatRina [158]

Answer:

a) 1.8 cm^2

b) 3.6 feet^2

Step-by-step explanation:

Conversion and calculation of areas

The area of a rectangle is A=wh, where w is the width and h is the height. There are 3 feet in one yard

a)

We are told Kalie put 6 stickers, each one of 1/2 centimeters (0.5 cm) wide by 3/5 (0.6 cm) centimeter long. The area of one sticker is

A=(0.5)(0.6)=0.3 cm^2

Assuming there is no overlapping, the 6 stickers have a total area

6*0.3 cm^2=1.8 cm^2

b)

Each of Elana's wrapping papers measures 2/5 yards long and 1/4 yard wide. Converting them to feet we have

long=2/5*3=1.2 feet

wide=1/4*3=0.75 feet

Area of each paper=1.2 feet*0.75 feet=0.9 feet^2

Area of the entire board, assuming no overlapping and no space left uncovered=4*0.9 feet^2

Area of board=3.6 feet^2

7 0
4 years ago
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