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3 years ago

Which value of y makes the two rectangles similar? 3 8.2 25.2 28.8

Mathematics

2 answers:

elena55 [62]3 years ago

5 0

8.4/4.8=y/14.4
y=25.2
Here is the answer

Dmitrij [34]3 years ago

5 0

It would be 25.2 that would make the two rectangles similar. Not the other ones.

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3x − 1/2(8x − 2) = 4 step 1: 3x − 4x 1 = 4 step 2: x 1 = 4 step 3: x 1 − 1 = 4 − 1 step 4: x = 3 which step was the error made a

Mrrafil [7]

3x-1/2(8x-2)=4
3x-4x+1=4
-x=3
X=-3

8 0

3 years ago

Find the radius and the diameter to the nearest hundredth when c = 6π yd. use 3.14 for π

Natali [406]

Radius is 3 And diameter 3×2

8 0

3 years ago

Traveling math word problem - thank you! :)

Anni [7]

We are given:

car and train leave at the same time

average velocity of car = 50 miles/hour

average velocity of train = 70 miles/hour

train arrives 2 hours early

Assuming variables and making equations!

let the time taken by the train = t hours

since the car arrived late, it took more time as compared to the train

time taken by the car = t + 2 hours

since the distance from Pasadena to Sacramento doesn't change, both the vehicles covered the same distance, d

Distance travelled by the car:

d = 50 $\frac{miles}{hour}$ * (t+2) hours [distance = velocity * time]

d = 50(t+2) miles

rewriting in terms of t

$t = \frac{d-100}{50}$

Distance travelled by the train:

d = 70 $\frac{miles}{hour}$ * t hours

d = 70t miles

rewriting in terms of t

$t = \frac{d}{70}$

now we have two expressions for t, both of which are equal because t is just the time taken by the train

Finding the distance:

$t = \frac{d-100}{50}$

$t = \frac{d}{70}$

because t is the same:

$\frac{d-100}{50} = \frac{d}{70}$

$\frac{d-100}{5} = \frac{d}{7}$

7(d - 100) = 5(d)

7d - 700 = 5d

(7d - 5d) - 700 = 0 [subtracting 5d from both sides]

2d = 700 [adding 700 on both sides]

d = 350 miles [dividing both sides by 2]

The distance between Pasadena and Sacramento is 350 miles!

7 0

2 years ago

The value of the solid’s surface area is equal to the value of the solid’s

Katen [24]

Answer:

1. x = 15 in

2. x = 8 m

Step-by-step explanation:

1. Given:

length = 10 in

width = 3 in

height = x in

surface area of the rectangular prism = its volume

Required:

Value of x

Area = 2(wl + hl + hw)

Volume = l*w*h

Therefore:

2(3*10 + x*10 + x*3) = 10*3*x

2(30 + 10x + 3x) = 30x

2(30 + 13x) = 30x

60 + 26x = 30x

Subtract 26x from both sides

60 + 26x - 26x = 30x - 26x

60 = 4x

Divide both sides by 4

60/4 = 4x/4

15 = x

x = 15 in

2. Given:

length = 8 m

width = 4 m

height = x m

surface area of the rectangular prism = its volume

Required:

Value of x

Area = 2(wl + hl + hw)

Volume = l*w*h

Therefore:

2(4*8 + x*8 + x*4) = 8*4*x

2(32 + 8x + 4x) = 32x

2(32 + 12x) = 32x

64 + 24x = 32x

Subtract 24x from both sides

64 + 24x - 24x = 32x - 24x

64 = 8x

Divide both sides by 8

64/8 = 8x/8

8 = x

x = 8 m

8 0

3 years ago

Answer the following questions. a. In the general education course requirement at a college, a student needs to choose one each

Bezzdna [24]

Answer:

a) N = 240 ways

b) N = 303,600 ways

c) N = 10 ways

Step-by-step explanation:

a) Given

General course consist of one course from each of 4 groups.

Social Science = 5 options

Humanities = 4 options

Natural sciences = 4 options

Foreign language = 3 options.

Therefore the total number of possible ways of selecting one each from each of the 4 groups is:

N = 5×4×4×3 = 240 ways

b) if four people are chosen from 25 member for four different positions, that makes it a permutation problem because order of selection is important.

N = nPr = n!/(n-r)!

n = 25 and r = 4

N = 25P4 = 25!/(25-4)! = 25!/21!

N = 303,600 ways

c) The number of ways by which 5 tosses of coin can yield 2 heads and 3 tails.

N = 5!/(5-5)!(2!)(3!)

N = 5×4/2

N = 10 ways

7 0

3 years ago