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Rzqust [24]
3 years ago
7

The figure below shows a shaded rectangular region inside a large rectangle:

Mathematics
1 answer:
pshichka [43]3 years ago
5 0

Answer:

b. 58%

Step-by-step explanation:

Calculate the area of the entire rectangle using the formula A = lw.

The lowercase "L" is for length.

"w" is for width.

The lighter square is 10 units long by 5 inches wide.

A = lw

A = (10 in)(5 in)   Multiply

A = 50 in²

Calculate the area for the shaded rectangle, 7 inches by 3 inches.

A = lw

A = (7 in)(3 in)    Multiply

A = 21 in²

Calculate the area for the non-shaded region by subtracting the shaded area from the total area.

50 in² - 21 in² = 29 in²

The chance that a point in the large rectangle will NOT be in the shaded region is 29/50.

Convert this fraction to decimal form by using a calculator. Divide the top number by the bottom number.

29/50 = 0.58

0.58 is in decimal form. To convert it to a percentage, multiply the number by 100.

0.58 = 58%

Therefore the probability that a point chosen inside the large rectangle is not in the shaded region is 58%.

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However, since we have 3 sets of 4, what can we do with the two exponents to avoid expansion?
Anvisha [2.4K]

Answer:

To avoid expansion, you can just use the power of a power rule and multiply the two exponents from the start.

Step-by-step explanation:

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4 0
3 years ago
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions. I need both answers.
Kazeer [188]

Answer:

1) x = 14°, y = 5°

2) x = 18.5°, y = 37°

Step-by-step explanation:

1) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 25°

∠MOD = ∠MOB + ∠BOD = 90°

3x + 23° + 25° = 90°

3x = 90° - 23° - 25°

x = 42°/3

x = 14°

∠LOB = ∠LOM + ∠MOB = 90°

5y + 3x + 23° = 90°

5y = 90° - 23° - 3(14°)

y = 25°/5

y = 5°

2) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 16°

∠EOB = ∠EOD + ∠DOB =  90°

2y + 16° = 90°

y = (90° - 16°)/2

y = 37°

∠DOF = ∠BOF + ∠DOB =  90°

4x + 16° = 90°

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4 0
3 years ago
the diffrence of two numbers,a and b,is 21,the diffrence of five times a and two times b is 18 what are the values of a and b
Triss [41]

Answer:

a=-8

b=-29

Step-by-step explanation:

Let's assume

first number is a

second number is b

the difference of two numbers,a and b,is 21

so, we get

a-b=21

we can solve for 'a'

a=b+21

the difference of five times a and two times b is 18

so, we get

5a-2b=18

now, we can plug 'a'

5(b+21)-2b=18

now, we can solve for b

5b+105-2b=18

3b+105=18

3b=-87

b=-29

now, we can find 'a'

a=-29+21

a=-8


8 0
3 years ago
Read 2 more answers
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