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BaLLatris [955]
3 years ago
13

Given y=4x, write an equation that is shifted up 9 with the slope tripled.

Mathematics
1 answer:
lyudmila [28]3 years ago
4 0

Answer:

y = 12x + 9

Step-by-step explanation:

you triple 4x and just add nine because the y intercept is zero

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mia drove her car at a rate of 60 mph from her home to los angeles. her mother, katrina, made the same trip at a rate of 80 mph,
Ad libitum [116K]

So if Katrina did 80mph and

Mia did 60mph

Lets say the destination is 90 miles away that would take 1hr 30minsfor Mia and

1hr 10mins for Katrina. so that's only a gap of 20minutes not half an hour.

So if the destination was 120miles away it would take Mia 2 hours and Katrina 1hour 30mins that is a gap of 30mins.

ANSWER: 120miles

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3 years ago
Restaurants often slip takeout menus under Meg's apartment door. So far, Meg has collected 18 menus, including 8 for Chinese foo
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Answer:

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Step-by-step explanation:

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A bag contains 25 marbles;10 black,13 red,and 2 blue. A marble is drawn from the bag at random.
Deffense [45]
For the answer to the question above asking to e<span>xplain why the events "getting a black marble" and "getting a red marble" are mutually exclusive.
</span>A marble can have only one color, so you cannot choose a marble that is both black and red. Therefore the events are mutually exclusive (cannot happen simultaneously)
3 0
3 years ago
Complete the assignment on a separate sheet of paper<br><br> Please attach pictures of your work.
Irina18 [472]

Answer:

<u>TO FIND :-</u>

  • Length of all missing sides.

<u>FORMULAES TO KNOW BEFORE SOLVING :-</u>

  • \sin \theta = \frac{Side \: opposite \: to \: \theta}{Hypotenuse}
  • \cos \theta = \frac{Side \: adjacent \: to \: \theta}{Hypotenuse}
  • \tan \theta = \frac{Side \: opposite \: to \: \theta}{Side \: adjacent \: to \: \theta}

<u>SOLUTION :-</u>

1) θ = 16°

Length of side opposite to θ = 7

Hypotenuse = x

=> \sin 16 = \frac{7}{x}

=> \frac{7}{x} = 0.27563......

=> x = \frac{7}{0.27563....} = 25.39568..... ≈ 25.3

2) θ = 29°

Length of side opposite to θ = 6

Hypotenuse = x

=> \sin 29 = \frac{6}{x}

=> \frac{6}{x} = 0.48480......

=> x = \frac{6}{0.48480....} = 12.37599..... ≈ 12.3

3) θ = 30°

Length of side opposite to θ = x

Hypotenuse = 11

=> \sin 30 = \frac{x}{11}

=> \frac{x}{11} = 0.5

=> x = 0.5 \times 11 = 5.5

4) θ = 43°

Length of side adjacent to θ = x

Hypotenuse = 12

=> \cos 43 = \frac{x}{12}

=> \frac{x}{12} = 0.73135......

=> x = 12 \times 0.73135.... = 8.77624.... ≈ 8.8

5) θ = 55°

Length of side adjacent to θ = x

Hypotenuse = 6

=> \cos 55 = \frac{x}{6}

=> \frac{x}{6} = 0.57357......

=> x = 6 \times 0.57357.... = 3.44145.... ≈ 3.4

6) θ = 73°

Length of side adjacent to θ = 8

Hypotenuse = x

=> \cos 73 = \frac{8}{x}

=> \frac{8}{x} = 0.29237......

=> x = \frac{8}{0.29237.....} = 27.36242..... ≈ 27.3

7) θ = 69°

Length of side opposite to θ = 12

Length of side adjacent to θ = x

=> \tan 69 = \frac{12}{x}

=> \frac{12}{x} = 2.60508......

=> x = \frac{12}{2.60508....}  = 4.60636.... ≈ 4.6

8) θ = 20°

Length of side opposite to θ = 11

Length of side adjacent to θ = x

=> \tan 20 = \frac{11}{x}

=> \frac{11}{x} = 0.36397......

=> x = \frac{11}{0.36397....}  =30.22225.... ≈ 30.2

5 0
3 years ago
How do i find the lateral area, total area, and volume of a triangular prism?
drek231 [11]
Total Area = Lateral Area + Area of the Ends
Total Area = Height * Width * Number of Sides + Area of the 2 ends


4 0
3 years ago
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