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Masja [62]
4 years ago
8

A rectangle of length 10 units and width 5 units is shown. Inside this rectangle is another rectangle of length 9 units and widt

h 3 units placed symmetrically inside the larger rectangle. The smaller rectangle is shaded gray. If you choose a point inside the large rectangle, what is the probability that it is not inside the shaded rectangle?
24%
27%
46%
54%
Mathematics
2 answers:
vivado [14]4 years ago
8 0

Answer

46% is the answer. :)

beks73 [17]4 years ago
5 0
Hi there!

First, we need to find the area of the rectangles.

10 × 5 = 50
9 × 3 = 27

Now, we find the percent of increase.

27 ÷ 50 = 0.54

Convert into a percentage:

0.54 = 54%

And subtract from 100%.

100% - 54% = 46%

The answer is 46%.

Hope this helps!
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Its really bad how im not educated in math but atleast this is my final worksheet xd.
Alex73 [517]

Answer:

For the first question the answer is 7/8 and for the second 1 the answer is 10/10 or 1/10

Step-by-step explanation:

you subtract 1/2 from 1 3/4 and get 7/8 same for the bottom question subtracted 1/4 from 2 1/2 for you answer.

4 0
2 years ago
If p(x)=6(3x^2-2)+15, what is the value of p(16)<br> A. 4611<br> B. 5205<br> C. 4053<br> D. 3531
Julli [10]

Answer:

A

Step-by-step explanation:

A just cause

3 0
3 years ago
Part A: A triangle has angles measuring 2xo, xo, and 45o. Write an equation that can be solved to find the value of x?
musickatia [10]

Answer:

X° + 2x° + 45° = 180°

X = 45°, 2x = 90°

Step-by-step explanation:

Since the angles in a triangle sums up to 180

And the angles in this particular triangle is measured as 2x° + x° + 45° = 180

With this equation, we can find the value of x and 2x

2x + x + 45 = 180

3x + 45 = 180

3x = 180 - 45

3x = 135

Now divide both sides by 3

3x/3 = 135/3

X = 45

Therefore, the angles of that triangle are x° = 45, 2x°= 45 × 2 = 90° and the third angle which was given to us as 45°

7 0
3 years ago
If a bacteria population starts with 80 bacteria and doubles every three hours, then the number of bacteria after t hours is n =
Thepotemich [5.8K]

Answer:

f^{-1}(x)=3\frac{ln(\frac{t}{80})}{ln(2)}

It will take 20.9 hours to reach 10000

Step-by-step explanation:

f(t)=80(2)^{\frac{t}{3}}

To find inverse of the function , replace f(x) with y

y=80(2)^{\frac{t}{3}}

swap the variables

t=80(2)^{\frac{y}{3}}

solve the equation for y

t=80(2)^{\frac{y}{3}}\\\\\frac{t}{80} =(2)^{\frac{y}{3}}

take ln on both sides

ln(\frac{t}{80} )= \frac{y}{3} ln(2)\\\\\frac{ln(\frac{t}{80} }{ln(2)} =\frac{y}{3}\\3\frac{ln(\frac{t}{80} }{ln(2)} =y

the inverse function is

f^{-1}(x)=3\frac{ln(\frac{t}{80})}{ln(2)}

for part b plug in 10000 for t in f^-1(x)

f^{-1}(10000)=3\frac{ln(\frac{t}{80} }{ln(2)} \\f^{-1}(10000)=3\frac{ln(\frac{10000}{80} }{ln(2)} \\=20.89

It will take 20.9 hours to reach 10000

7 0
4 years ago
Min-Jee is planting two rectangular flower beds. One bed is 2.78feet by 4.81feet, and the other bed is 2.78feet by 5.61feet. Whi
makkiz [27]

Area of the rectangle is given by formula

Area = length * width

Then area of bed having dimension 2.78feet by 4.81feet will be:

Area1= 2.78*4.81 = 13.3718 square feet.

Area of bed having dimension 2.78feet by 5.61feet will be:

Area2= 2.78*5.61 = 15.5958 square feet.

Now add both areas to find total area

Total area = 13.3718 +15.5958 = 28.9676

We have to find which choice does NOT represent the total area.

Choices are not given so you just have to pick choice which is not same as 28.9676 square feet.

5 0
3 years ago
Read 2 more answers
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