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ad-work [718]
3 years ago
7

Can someone please help me ?

Mathematics
1 answer:
Katarina [22]3 years ago
3 0

Answer:

m and p

p and q

Step-by-step explanation:

both m and q are 71° so what plus 71 = 90; 19. therefore, m and p are complementary as well p and q.

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A person takes a trip, driving with a constant peed of 89.5 km/h, except for a 22.0-min rest stop. If the peron's average speed
Stolb23 [73]

Answer:

a) The person traveled 2.83 hours.

b) The person travels 220.17 kilometers.

Step-by-step explanation:

We have that the speed is the distance divided by the time. Mathematically, that is

s = \frac{d}{t}

(a) how much time is spent on the trip and

The peron's average speed is 77.8 km/h, which means that s = 77.8

The person distance traveled is:

22 min is 22/60 = 0.37h.

So for  the time t1, the person traveled at a speed of 89.5 km/h. Which has a distance of 89.5*t1.

For 0.37h, the person was at a stop, so she did not travel. This means that the total distance is

d = 89.5t1 + 0 = 89.5t1

The total time is the time traveling t and the stoppage time 0.37. So

t = t1 + 0.37

We want to find t1, which is the time that the person was driving.

So

s = \frac{d}{t}

77.8 = \frac{89.5t1}{t1 + 0.37}

77.8t1 + 77.8*0.37 = 89.5t1

11.7t1 = 28.786

t1 = \frac{28.786}{11.7}

t1 = 2.46

The total time is

t = t1 + 0.37 = 2.46 + 0.37 = 2.83

The person traveled for 2.83 hours.

(b) how far does the person travel?

The person traveled 2.46 hours at an average speed of 77.8 km/h. So

s = \frac{d}{t}

77.8 = \frac{d}{2.83}

d = 77.8*2.83 = 220.17

The person travels 220.17 kilometers.

8 0
3 years ago
Circle O is shown. Line segments B O and O C are radii. Point A is on the circle and is not within angle B O C.
Paha777 [63]

The ratio of major to minor arc = 2 : 1

What is a Circle?

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

Calculation

The length of an arc (L) with center angle θ is given by:

                                          L = (θ/360) * 2πr

where r is the radius.

Putting the values in the above formula.

For the major arc:

L = (240/360) * 2πr

For the major arc:

l = ((360-240)/360) * 2πr

l = (120/360) * 2πr

The ratio of major to minor arc = [(240/360) * 2πr] / [(120/360) *2πr] = 2 : 1

The ratio of major to minor arc = 2 : 1.

Learn more about the circle here:

brainly.com/question/15125799

#SPJ1

5 0
2 years ago
Find the area of the blue shaded region.
Elodia [21]

Answer:

56

Step-by-step explanation:

area of whole figure=

l×b

=20×10

=200

also,area of small fig.

=l×b

=18×8

=144

thus area of shaded part =a of whole- a of small

=200-144

=56

4 0
3 years ago
6th grade math help me plzzzzz
Pepsi [2]

Answer: -1

3 + (-4) = -1

7 0
3 years ago
What is the measure of the indicated arc in radians?
iogann1982 [59]

Answer:

D is the right one

Step-by-step explanation:

π radian = 180 degree

-> 135 degree = \frac{135}{180} π radian

-> 135 degree = 0.75 * π  radians = 3π/4 radian

5 0
2 years ago
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