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2 years ago

10

A square has a side length of 2.5 feet if the square is dilated by a factor of 2.5 what is the length of a side of the new squar

e

1 answer:

Anni [7]2 years ago

6 0

Answer:

6.25

Step-by-step explanation:

You would multiply 2.5 by itself since you're dilating your side length.

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The probability of getting a head when a biased coin is tossed is . The coin is tossed three times. Find the following probabili

S_A_V [24]

Answer:

a) P(three tails) = $\frac{1}{8}$

b) P(two tails followed by one head) = $\frac{1}{8}$

Step-by-step explanation:

coin is tossed three times so, outcome is

HHH, TTT, HTH, THH, HHT, THT, TTH, HTT.

Hence sample space will be

S = {HHH, TTT, HTH, THH, HHT, THT, TTH, HTT}

chance of getting three tails is '1' i.e. TTT

hence,

P(three tails) = $\frac{1}{8}$

two tails followed by one head is TTH

so, chance of getting that outcome is also '1'

hence,

P(two tails followed by one head) = $\frac{1}{8}$

6 0

2 years ago

Compute the slope of the line intersecting the points (1, 2) and (3, 8). *

DiKsa [7]

Answer:

slope = 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (3, 8)

m = $\frac{8-2}{3-1}$ = $\frac{6}{2}$ = 3

6 0

2 years ago

The distance between two cities is 180km. The distance was covered by a car at the rate of 50km/h, by a bus 45km/h, by a truck a

Gennadij [26K]

Answer:

The speed and time are directly proportional in that the higher the speed the lesser the time and vice versa.

The constant is the total distance which is 180 km

Step-by-step explanation:

Step one:

given data

The distance between the two cities is 180km

1.The distance was covered by a car at the rate of 50km/h

The time taken will be

velocity= distance/time

time= distance/velocity

time= 180/50

time= 3.6 hours

2.The distance was covered by a bus 45km/h

The time taken will be

velocity= distance/time

time= distance/velocity

time= 180/45

time= 4 hours

3.The distance was covered by a bicycle at 25km/h

The time taken will be

velocity= distance/time

time= distance/velocity

time= 180/25

time= 7.2 hours

7 0

2 years ago

What is the solution to the system of equations? {10x^2 - y = 48 2y = 16x^2 + 48

julsineya [31]

A graph shows the solutions to be
(x, y) = (-6, 312) or (6, 312)

To solve algebraically, remove a factor of 2 from the second equation and use that expression to substitute for y in the first equation.
10x^2 -(8x^2 +24) = 48
2x^2 = 72
x = ±√(72/2) = ±6
y = 8*36 +24 = 312

6 0

3 years ago

These are the ingredients needed to make 18 rock cakes

N76 [4]

First we divide all of the ingredients by 18 to see how much we nee for one rock cake.

9 / 18 = 0.5
6 / 18 = 0.33
2 / 18 = 0.11
6 / 18 = 0.33
8 / 18 = 0.44

Now we multiply all of these by 12.

0.5 * 12 = 6 ounces of flour
0.33 * 12 = 3.96 ounces of margarine
0.11 * 12 = 1.32 large eggs
0.33 * 12 = 3.96 ounces of sugar
0.44 * 12 = 5.28 ounces of fruit

6 0

3 years ago