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il63 [147K]
3 years ago
11

Raychel drove to the mountains last week there was heavy traffic on the way there and on the trip took 12 hours when Raychel dro

ve home there was no traffic and the trip only took eight hours if her average rate was 20 mph faster on the trip home how far away does Rachel live from the mountains
Mathematics
1 answer:
nevsk [136]3 years ago
4 0
Suppose that this person drives at r mph going to the mountains, and gets there in 12 hours.  Returning, this person drives at (r+20) mph and gets home in 8 hours.  We don't know the distance yet, but can solve for the initial speed, r, by setting

d = 12r = (r+20)(8).  Solving for r, r=40 mph (going) and (40+20)mph = 60 mph (returning.  Since d=12 r, d = (12 hrs)(40 mph) = 480 miles (answer).
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I have a diameter of 6in how do i get my circumference step by step?
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Equation: C=dπ
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               C=18.84
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6 0
3 years ago
What is the value of x?
Ratling [72]
11/36. You need to make both denominators the same
6 0
3 years ago
34 in.
Troyanec [42]

Answer:

Step-by-step explanation:

Lateral surface area of the triangular prism = Perimeter of the triangular base × Height

By applying Pythagoras theorem in ΔABC,

AC² = AB² + BC²

(34)² = (16)² + BC²

BC = \sqrt{1156-256}

     = \sqrt{900}

     = 30 in.

Perimeter of the triangular base = AB + BC + AC

                                                      = 16 + 30 + 34

                                                      = 80 in

Lateral surface area = 80 × 22

                                  = 1760 in²

Total Surface area = Lateral surface area + 2(Surface area of the triangular base)

Surface area of the triangular base = \frac{1}{2}(\text{Base})(\text{Height})

                                                           = \frac{1}{2}(30)(16)

                                                           = 240 in²

Total surface area = 1760 + 2(240)

                               = 1760 + 480

                               = 2240 in²

Volume = Area of the triangular base × Height

             = 240 × 20

             = 4800 in³

6 0
3 years ago
I need help please!!
Sergio039 [100]

Answer:

16 cm2

Step-by-step explanation:

By equa tion of area of triangle: S = 1/2 * height * base

Triangle B: 32  = 1/2 * 8 * x --> x = 8 (cm)

The base of triangle A is half of the base of triangle B so it is 4 cm.

The area of triangle A = 1/2 * 8 * 4 = 16 (cm2)

5 0
3 years ago
On weekday mornings, it takes Leo 12 minutes to bike 2 miles to his school. This Saturday, Leo will bike to the park to meet his
marshall27 [118]

Answer:

30 minutes to the park

Step-by-step explanation:

12/2 = 6 min per mile

6 x 5 = 30 mins for 5 miles

7 0
3 years ago
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