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ale4655 [162]
4 years ago
8

Wilma and Fred rode their bikes toward each other from points on a straight road 32 miles apart. If Fred rode 3 miles per hour f

aster than Wilma and they met in 40 minutes, how fast did each ride in mph?​
Mathematics
1 answer:
Firdavs [7]4 years ago
6 0

Answer:

wilma is 22.5 mph

fred is 25.5 mph

Step-by-step explanation:

Time:40 minutes, or 2/3 hours

Speed:

Fred:x+3

Wilma: x

Distance:32 miles

2/3(x+x+3)=32

2/3(2x+3)=32

1 1/3x+2=32

4/3x=30

x=22.5

wilma is 22.5 mph

fred is 22.5+3= 25.5 mph

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Which of the following functions have a vertical asymptote for values of Ø such that cos Ø = 1?Select all that apply.
igomit [66]

Answer:

y=\cot \theta and y=\csc \theta

Step-by-step explanation:

Note that if \cos \theta=1, then \sin \theta=0.

Functions y=\cos \theta,\ \ y=\sin \theta do not have vertical asymptotes at all.

Vertical asymptotes have functions y=\tan \theta,\ \ y=\cot \theta,\ \ y=\sec \theta,\ \ y=\csc \theta.

Functions y=\tan \theta and y=\sec \theta have the same vertical asymptotes (when \cos \theta =0).

Functions y=\cot \theta and y=\csc \theta have the same vertical asymptotes (when \sin \theta =0). See attached diagram

3 0
4 years ago
Which of the following measurements are less than 5 feet? Select all that apply. A. 56 inches B. 1 yard C. 1 yard 2 feet D.
Gennadij [26K]

Answer:

A and B

Step-by-step explanation:

Let's convert 5 feet into inches and yards. We will use the conversions:

1 ft = 12 in

1 yd = 3 ft

So, 5 feet = 5 * 12 = 60 inches. Looking at the answer choices, A says 56 inches, which is less than 60, so that can work.

5 feet = 3 feet + 2 feet = 1 yd + 2 ft. Looking at the answer choices, B works because it says 1 yd, which is clearly less than 1 yd + 2 ft. However, C doesn't work because 1 yd 2 ft is equal to 5 ft.

Thus, the answers are A and B. (Note that as you didn't provide choice D, I will assume it is not an answer)

Hope this helps!

6 0
3 years ago
1.311666666666667 To the nearest cent
Mama L [17]
1 cent since it doesn’t go above 1.5
5 0
4 years ago
I need extreme help with this.<br><br>​
irga5000 [103]

The first way i.e. the 4(x)

Step-by-step explanation:

Its because there's no gap in between and the letter is surrounded by brackets on both sides so it cant be divided and it's the only letter . There's no rule in mathematics that allows you to multiply a single number surrounded by brackets at both sides.

8 0
3 years ago
Read 2 more answers
What is the volume of a rectangular prism with the following dimensions
andriy [413]

Answer: 250ft3

Step-by-step explanation:

v=l*w*H

v= 10*5 * 5

v=250

7 0
4 years ago
Read 2 more answers
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