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alexgriva [62]
3 years ago
5

The two rectangles shown below have the same

Mathematics
1 answer:
kati45 [8]3 years ago
7 0

9514 1404 393

Answer:

  • x = 3
  • length = 9
  • width = 3

Step-by-step explanation:

The sum of length and width is half the perimeter. If the perimeter is the same, so will be the sum of length and width:

  7 + 5 = x + (4x -3)

  15 = 5x . . . . . . . add 3, simplify

  3 = x

The value of x is 3.

The length of Rectangle B is 4(3)-3 = 9 inches.

The width of Rectangle B is 3 inches.

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A race car is moving with a velocity of 144 kilometers/hour. The driver applies the brakes, and the car comes to a halt in 12.0
FinnZ [79.3K]
To answer, first, convert the given velocity in km/h to m/s as shown below,
                        (144 km / hr) x (1000 m / 1 km) x (1 hr / 3600 s) = 40 m/s
The acceleration (a) is solved by through the equation,
                                     a = (Vf - Vi) / Δt
where Vf and Vi are final and initial velocities, respectively and Δt is change in time. Substituting the known values,
                                     a = (0 - 40 m/s) / 12 s = -3.3 m/s²
Thus, the answer to this item is letter B.
5 0
3 years ago
Read 2 more answers
Bad gums may mean a bad heart. Researchers discovered that 81% of people who have suffered a heart attack has periodontal diseas
IgorC [24]

Answer:

0.405 or 40.5%

Step-by-step explanation:

Let event A=having a periodontal disease

event B=having a heart attack

we are given

P(A)=P(having a periodontal disease)=0.30

P(B)=P(having a heart attack)=0.15

P(A/B)=P(have a periodontal disease/have a heart attack)=0.81

P(B/A)=P(have a heart attack/have a periodontal disease)=?

P(A/B)=P(A∩B)/P(B)

P(A∩B)=P(B)*P(A/B)=0.15*0.81=0.1215

P(B/A)=P(A∩B)/P(A)=0.1215/0.3=0.405

There is 40.5% probability that if someone has periodontal disease will have a heart attack.

7 0
3 years ago
5. Shara's new lawn sprinkler watered a circular area with three times the radius of the old sprinkler. How many times greater w
Art [367]
The answer is C. when you have questions like these, its best to plug in an easy number and test it out. 

Say the original radius was 2. That means the area of that sprinkler was 12.56 (if you use the formula Pi(radius)squared. 

a number 3 times bigger then 2, is 6. (2 times 3 = 6) There fore, following the same formula as before, you plug that number in and get 113.04 as the area of the new sprinkler. 

113.04 divided by 12.56 is 9
6 0
3 years ago
Let ​f(x)=x2+10x+37​ .
Gnesinka [82]

Answer:

f(x) = (x+5)^2 +12

The minimum value is 12

Step-by-step explanation:

f(x)=x^2+10x+37

The vertex will be the minimum value since this is an upwards opening parabola

Completing the square by taking the coefficient of x and squaring it adding it and subtracting it

f(x) = x^2+10x  + (10/2) ^2 - (10/2) ^2+37

f(x) = ( x^2 +10x +25) -25+37

    = ( x+5) ^2+12

Th is in vertex form y = ( x-h)^2 +k  where (h,k) is the vertex

The vertex is (-5,12)

The minimum is the y value or 12

7 0
3 years ago
What is the range median and mode for 8 7 12 7 11 10 7 12
strojnjashka [21]

Answer:

Range = 5, Median = 9, Mode = 7

Step-by-step explanation:

First, we put them in order from least to greatest.

So its 7, 7, 7, 8, 10, 11, 12, 12

The range is the largest number minus the smallest number, so 12-7=5. The range is 5.

The median is the number in the middle, so we cross off numbers from both sides. That leaves us with 8 and 10. The number between them is 9, so the median is 9. (the actual process to find the median if there's 2 numbers in the middle is by adding them together and dividing them by 2)

The mode is just which number appears the most often. So 7 is the mode.

3 0
3 years ago
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