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charle [14.2K]
3 years ago
12

Find the perimeter of ABC.

Mathematics
2 answers:
Romashka [77]3 years ago
5 0
You times 12ft by 3 because to get to 5ft to 15ft you multiply 5 by 3
sergejj [24]3 years ago
3 0

If two shapes are similar, they are scaled by some factor. In other words, you have

AB = k\cdot ED,\quad AC = k\cdot DF,\quad BC = k\cdot EF

In particular, we know that

BC = 15 = k\cdot 5 = EF

And we deduce k=3

So, the perimeter of ABC is

AB+BC+AC = 3ED+3EF+3DF = 3(ED+EF+DF)

So, the perimeter of ABC is three times the perimeter of DEF, and thus it's

12\cdot 3 = 36 feets

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A ball is thrown with a slingshot at a velocity of 110 ft./sec. at an angle 20 degrees above the ground from a height of 4.5 ft.
Leviafan [203]

Answer:

T= 2.35 seconds

Step-by-step explanation:

⇒The question is on the time of flight.

⇒Time of flight is the time taken for a projected object to reach the ground.It depends on the <u>projectile angle</u> and the <u>initial velocity</u> of the projectile

Given;

Initial velocity of ball= 110ft./sec.

The projectile angle= 20°

Acceleration due to gravity, g=32 ft./s²

⇒Formulae for time of fright T= (2×u×sin Ф)/g

Where T=time of fright, u=initial velocity of projectile, Ф=projectile angle and g=acceleration due o gravity.

<u>Substituting values</u>

T= (2×u×sin Ф)/g

T=( 2×110×sin 20°) / 32

T= 2.35 seconds

3 0
3 years ago
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What is P(4 ≤ X ≤ 6)? Explain. <br> If P(X ≤ a) = 0.2, what is a? Explain.
melamori03 [73]

Answer:

(a) 0.4

(b) a = 3

Step-by-step explanation:

(a) The area under the curve from x=4 to x=6 is 0.2 units high and 2 units wide, so is 0.2·2 = 0.4. (The area of a rectangle is the product of length and width.)

(b) The area is 0.2 and the height of the curve is 0.2, so the width of the region of concern is 0.2/0.2 = 1. (Again, area = height·width, or width = area/height.) 1 unit from the left end is found at X=3, so a = 3.

4 0
2 years ago
Sally can paint a room in 7 hours while it takes Steve 6 hours to paint the same room. How long would it take them to paint the
Kipish [7]
I would say about 6.25 hours
6 0
3 years ago
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Triangle ABC has vertices A(–2, –3), B(–5, –3), and C(–4, –2). The triangle is rotated 90° counterclockwise around the origin.
Ulleksa [173]
The rule for this rotation is (x, y) converted into (-y, x). So, to find the answer you would make the y negative and switch the values in the ordered pair. A would be (3, -2), B would be (3, -5), and C would be (2, -4). So, your answer would be B. Hope this helps!
4 0
3 years ago
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Organize from least to greatest
dedylja [7]

Answer:

y=31x/15 < y=27x/13 < y=15x/7 < y=13x/6 < y=11x/5 < y=21x/9 (=7x/3) < y=19x/8

Step-by-step explanation:

since all equations base on a linear, simple expression of x, we can simply compare the fractions.

in general, the bigger the number at the bottom, the smaller the individual fraction. that is our first indicator.

we then notice that many fractions represent the value of 2 plus one fraction.

31/15 = 2 1/15

27/13 = 2 1/13

15/7 = 2 1/7

13/6 = 2 1/6

11/5 = 2 1/5

the only exceptions are 21/9 and 19/8

but 21/9 is actually 7/3 = 2 1/3

and fits therefore into the list above.

that leaves 19/8 = 2 3/8.

the list above can be sorted based on the single fraction at the end (remember, the bigger the number at the bottom, the smaller the value). so, from least to greatest :

2 1/15 (31/15)

2 1/13 (27/13)

2 1/7 (15/7)

2 1/6 (13/6)

2 1/5 (11/5)

2 1/3 (7/3 = 21/9)

where did now 2 3/8 fit in ?

well, 3/8 is almost 1/2 (so, relatively big), and we start our comparison with the biggest number in the list so far :

1/3 (from 2 1/3).

what is bigger - 1/3 or 3/8 ?

let's find the smallest number that can be divided by 3 and by 8. that would be 24. so now we bring both fractions to the same base of 24.

1/3 = 8/24

3/8 = 9/24

=> 3/8 > 1/3

and therefore, 19/8 is the largest value and at the end of the list.

5 0
2 years ago
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