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padilas [110]
3 years ago
13

1. Name angle 'x' 2. calculate the size of angle 'y' ​

Mathematics
1 answer:
Burka [1]3 years ago
7 0

Answer:

<h2><u><em>y = 70°</em></u></h2>

Step-by-step explanation:

x = 35° (opposite agles)

y = 180 - 35 - 75

y = 70

-----------------------

check 35 + 75 + 70 = 180°

the answer is good

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A car travels a distance on a road of 12.42 miles at a slope of 6.4%. The car has a maximum speed of 203 mph. Assume the car wil
Neko [114]

Answer:

4 mins 31 seconds

Step-by-step explanation:

Maximum speed is 203 mph equivalent to

203*\frac {5280}{3600}=297.73 ft/s

Time taken to attain maximum speed, t=\frac {v}{a} where v is velocity and a is acceleration hence

t=\frac {297.73}{2.93}=101.6155 s

The distance traveled when at top speed

d=\frac {v^{2}}{2a}=\frac {(297.73)^{2}}{2*2.93}=15127.16 \approx 15127.2 ft

Total distance is provided as 12.42 miles converted to ft is 12.42*5280=65577.6 ft

Total distance-distance moved to attain maximum speed will be

65577.6 ft-15127.2 ft=50450.44 ft

Time taken during maximum speed

t=\frac {50450.44}{297.73}=169.45 s

Total time=101.6155 s+169.45 s=271.06 s

271.06/60=4 mins 31 seconds

8 0
3 years ago
Read 2 more answers
Consider the open sentence 2x + 3___x^2 + 2^2 ( show all your work )
nikklg [1K]

The answer would be less than

2(3)+3= 9

<u>3^2 + 2^2 = 9+4 = 13 </u>

4 0
3 years ago
55) Louis started a simple interest savings account with $1500 that earned 3.5% interest. He left the account untouched until so
ASHA 777 [7]

Answer:

  3.5 years

Step-by-step explanation:

Each year, Louis earned

  $1500×0.035 = $52.50

in interest.

The amount of interest that had been credited to his account at the time of withdrawal was ...

  $1683.75 -1500.00 = $183.75

Then the length of time the money had been in the account was ...

  $183.75/($52.50/yr) = 3.5 yr

_____

<em>Comment on the problem</em>

We have assumed the account earned simple interest. Given the neatness of the answer, we believe that to be a correct assumption.

3 0
4 years ago
If the area of the triangular kite is 24 square ft and its base is 4 feet, find the height of the kite.
beks73 [17]
Area of a triangle is   A = (1/2) (b) (h).  Here we are given A and b and need to find h.

A = 24 ft^2 = (1/2) (4 ft) (height)

24 = 2(height)          =>          height is 12 ft            (answer)
3 0
4 years ago
What is the probability of rolling an even number on a six sided die and then rolling 4?
Ivahew [28]

Answer:

B. 1/12.

Step-by-step explanation:

There are 3 even numbers on the die so Probability(an even) = 3/6 = 1/2.

Probability (rolling a 4) = 1/6.

Probability ( rolling an even then a 4) = 1/2 * 1/6 = 1/12.

3 0
4 years ago
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