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timama [110]
2 years ago
12

Mandy begins cycling west at 30 miles per hour at 11a.M. If Liz leaves from same point 20 minutes later bicycling west at 36 mph

when will catch Mandy
Mathematics
1 answer:
RoseWind [281]2 years ago
8 0

The answer is 1:00 PM


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A sailor is looking at a kite. If he is looking at the kite at an angle of elevation of 36and the distance from the boat to the
Nonamiya [84]

Answer:

Height of the kite from the ground is 29.2 feet.

Step-by-step explanation:

For better explanation of the solution, see the figure attached :

The angle formed by the height of kite to that of the surface of the ground is right angle.

⇒ m∠ABC = 90°

Let angle of elevation be θ

Now, to find height of the kite : find length of AB

In right angled triangle ABC , using tan rule, we have\tan\theta=\frac{Perpendicular}{Base}\\\\\tan36^{\circ}=\frac{AB}{BC}\\\\\implies \tan36^{\circ}=\frac{AB}{40}\\\\\implies AB=0.73\times 40\\\\\bf\implies AB=29.2\thinspace{ feet}

Hence, Height of the kite from the ground is 29.2 feet.

7 0
2 years ago
Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each s
emmainna [20.7K]

Answer:

Triangle QRS is an isosceles triangle because QR = RS.

Step-by-step explanation:

option D for Edgu hope this helps :)

9 0
2 years ago
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Someone help! you have 44 text messages in your inbox. How many messages can your cell phone hold? (and inbox is 88% full)
marin [14]
We can set up a proportion.

88% = 0.88

44/0.88 = x/1

Cross multiply:

0.88x = 44

Divide 0.88 to both sides:

x = 50

So your cell phone can hold 50 messages.
4 0
2 years ago
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If Patricia drives at two-third of her usual speed, she covers a certain distance in one hour more than the time she takes while
zalisa [80]
Let r = usual driving rate
let t = usual driving time
We need to figure out t

The distance she covers in her usual time at her usual rate is r*t

The distance she covers in her new time at her new rate is:
(1+t)*((2/3)r)

Set this equal to each other and solve for t.

rt = (2/3)r + (2/3)rt
(1/3)rt = (2/3)r
(1/3)t = (2/3)
t = 2

So her usual time is 2 hours. (There's probably a faster way to do this)
3 0
2 years ago
Alex's friend Pablo comes up with an exact equation to find out how many bags he needs. Use his equation
Bezzdna [24]

Answer:

8.5 bags are needed.

Step-by-step explanation:

Given : Number of bags needed B=x(2x+7)+3(2x+7)+(x+4)

            (2x + 7) = 4

To Find :  how many bags he needs?

Solution :

(2x + 7) = 4

2x=-3

x=-\frac{3}{2}

Now we are given that Number of bags needed B=x(2x+7)+3(2x+7)+(x+4)

Substitute the value of x

B=(\frac{-3}{2})(2(\frac{-3}{2})+7)+3(2(\frac{-3}{2})+7)+((\frac{-3}{2})+4)

B=8.5

Hence 8.5 bags are needed.

3 0
2 years ago
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