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sdas [7]
3 years ago
11

PLEASE HELP On a clock, what is the angle formed by the hour hand and minute hand at 1:30? Assume the hour and minute hand each

move at a constant rate. A.67 B.105 C.120 D.135
Mathematics
1 answer:
SpyIntel [72]3 years ago
5 0

Answer:

D. 135°

Step-by-step explanation:

Time is 1:30

The minute hand traveled half of full circle

The minute hand position is:

  • 360°×1/2= 180°

The hour hand traveled 1.5 hr ÷ 12 hr= 1/8 of full circle

The hour hand position is:

  • 360°×1/8= 45°

the difference between the hands:

  • 180°-45°= 135°

Choice D. 135° is the correct one

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A ball is kicked with an initial height of 0.75 meters and initial upward velocity of 22 meters/second. this inequality represen
BARSIC [14]

Answer:

t is between 0.47 seconds and 4.02 seconds

Step-by-step explanation:

Given

Inequality: -4.9t^2+22t+0.75>10

Required

Determine the values of t

-4.9t^2+22t+0.75>10

Subtract 10 from both sides

-4.9t^2+22t+0.75 - 10 >10 - 10

-4.9t^2+22t-9.25 >0

Multiply through y -1

4.9t^2-22t+9.25

Solve t using quadratic formula:

t = \frac{-b \±\sqrt{b^2 - 4ac}}{2a}

Where

a = 4.9

b = -22

c = 9.25

So, we have:

t = \frac{-(-22) \±\sqrt{(-22)^2 - 4*4.9*9.25}}{2 * 4.9}

t = \frac{22 \±\sqrt{484 - 181.3}}{9.8}

t = \frac{22 \±\sqrt{302.7}}{9.8}

t = \frac{22 \±17.40}{9.8}

Split the equation

t = \frac{22 + 17.40}{9.8} or t = \frac{22 - 17.40}{9.8}

t = \frac{39.4}{9.8} or t = \frac{4.6}{9.8}

t = \frac{39.4}{9.8} or t = \frac{4.6}{9.8}

t = 4.02 or t = 0.47

Hence; the range is

0.47 < t

4 0
3 years ago
X equal?? <br><br><br> helppp plssss
kenny6666 [7]

Answer:

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5 0
3 years ago
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An equilateral triangle with side length 4cm is shown in the diagram, work out the area of the triangle.
dexar [7]

Answer:

8cm²

Step by step explanation:

A= ½×4cm×4cm

A= ½×16cm²

A= 8cm²

6 0
2 years ago
Read 2 more answers
0.39 is 15% of what number
vlabodo [156]
0.39/15x100 = 2.6 easy

5 0
2 years ago
You have two parents, four grandparents, eight greatgrandparents, and so forth.
Leviafan [203]
A.
In the first generation we have 2 ancestors.
In the second generation we have 4 ancestors or 2^{2} ancestors.
In the third generation we have 8 ancestors ot 2^{3} ancestors.

We can see that each succesive generation has two times more members. The sum is:
2+4+8+16+...+ 2^{40}

To calculate number of ancestors we can use formula <span>for the sum of a geometric sequence. Geometric sequence is sequence of numbers that differ by a certain factor. This factor is called ratio. Formula is:
</span>S= a_{1} * \frac{1- r^{n} }{1-r}
<span>Where:
S -> sum
a1 -> first member of a sequence
r -> ratio
n -> number of elements

For this question:
a1 = 2
r = 2
n = 40
</span>S= 2* \frac{1- 2^{40} }{1-2} =2 199 023 255 550
<span>
b.
1 generation = 25 years
40 generations = 40 * 25 = 1000 years

c.
Total number of people who have ever lived = </span>10^{10}
Number of ancestors in 40 generations = 2.2*10^{12}

The number of ancestors is greater than total number of people who have ever lived. This means that not all ancestors were distinct and that in each generation both men and women had children with more than one partner.
8 0
3 years ago
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