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satela [25.4K]
3 years ago
8

The winner of a 100 mile race drove his car to victory at a rate of 120.1229 mph. What was his time to the nearest thousandth of

an hour)?
His time was hours.

(Round to the nearest thousandth.)
Mathematics
1 answer:
Zigmanuir [339]3 years ago
8 0

Answer:

t=1.201\ \text{hour}

Step-by-step explanation:

Given that,

Distance, d = 100 mile

Velocity of the winner, v = 120.1229 mph

We know that velocity of an object is equal to distance per unit time. Let t is the time. So,

v=\dfrac{d}{t}\\\\t=\dfrac{d}{v}\\\\t=\dfrac{120.1229}{100 }\\\\t=1.201229\ \text{hour}\\\\\text{Round to the nearest thousandth}\\\\t=1.201\ \text{hour}

Hence, 1.201 hour is taken by the winner.

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A sector has angle 2.5 radians and perimeter of 18cm. find the radius of the sector
babunello [35]

Answer:

4 cm

Step-by-step explanation:

Perimeter = 18cm

θ = 2.5 radian

s = rθ, s = Arc length

Perimeter of Sector, P = arc length, s + 2r

Perimeter = rθ + 2r

r = Radius

18cm = r(2.5) + 2r

18cm = 2.5r + 2r

18cm = 4.5r

r = 18 /4.5

r = 4

8 0
3 years ago
In AOPQ, o = 700 cm, p = 840 cm and q=620 cm. Find the measure of _P to the<br> nearest degree
Westkost [7]

Given:

In triangle OPQ, o = 700 cm, p = 840 cm and q=620 cm.

To find:

The measure of angle P.

Solution:

According to the Law of Cosines:

\cos A=\dfrac{b^2+c^2-a^2}{2bc}

Using Law of Cosines in triangle OPQ, we get

\cos P=\dfrac{o^2+q^2-p^2}{2oq}

\cos P=\dfrac{(700)^2+(620)^2-(840)^2}{2(700)(620)}

\cos P=\dfrac{490000+384400-705600}{868000}

\cos P=\dfrac{168800}{868000}

On further simplification, we get

\cos P=0.19447

P=\cos^{-1}(0.19447)

P=78.786236

P\approx 79

Therefore, the measure of angle P is 79 degrees.

8 0
3 years ago
Read 2 more answers
Can someone help me please?
marishachu [46]
(6x + 30)+(2x+6)= 180
8x +36= 180
8x= 144
X= 18
So 2x+6 = 42
And 6x+30 = 138
8 0
3 years ago
1. Use the quadratic, x? + 18x = 25 to answer the following questions.
makvit [3.9K]

Answer:

FIRST PROBLEM:

Exact Form:

x  =  25 /19

Decimal Form:

x =  1.31578947

Mixed Number Form:

x  =  1  6 /19

SECOND PROBLEM

Exact Form:

x  =  − 9  +  √ 106 ,  − 9  − √ 106

Decimal Form: x  =  1.29563014 ,  − 19.29563014

Step-by-step explanation:

5 0
3 years ago
In the standard (x, y) coordinate plane, what is the slope of the line joining the points (3,7) and (4,−8)?
rjkz [21]
We know that the slope formula is m = (y1 - y2)/(x1 - x2)
Your points are: (3, 7) and (4, -8)
In this case,
x1 = 3
x2 = 4
y1 = 7
y2 = -8
Now, just plug in the numbers:
m = (7 - -8)/(3-4)
m = 15/-1
m = -15
Your slope is -15.
7 0
3 years ago
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