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Ivan
3 years ago
7

A painting without its frame has a width 2.5 times its height, h, in inches. Its frame is 3 in. wide all along its perimeter. Wh

at is an expression for the area of the framed painting in terms of h? PLEASE HELP!
Mathematics
1 answer:
Lena [83]3 years ago
7 0
Answer:

You will not be able to find the area of the framed painting without finding the length, which you did not provide. Assuming you meant “3 inches wide” to actually mean the length then the surface area of the painting is 9 inches squared. However, to find the height, you must divide 3 by 2.5 as the width was said to be 2.5 times the height of the painting. This will give you an answer of 1.2 inches in height.
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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
VladimirAG [237]

Answer:

a = 5.

Step-by-step explanation:

The graph here is a probability density graph. What will represent P(X\le a) on the graph?

P(X\le a) is the area

  • between the graph and the x-axis,
  • to the left of a.

The area under the graph between 0 and 9 is a trapezoid. Consider the trapezoid in three slices from left to right:

  • A right triangle of area \displaystyle \frac{1}{2}\times 0.2\times 4 = 0.4,
  • A rectangle of area 0.2 \times (5 - 4) = 0.2, and
  • Another right triangle of area \displaystyle \frac{1}{2} \times 0.2 \times (9 - 5) = 0.4.

The area of the leftmost triangle plus that of the rectangle is exactly 0.6. In other words, the area to the left of a = 5 between the graph and the x-axis is 0.6. P(X \le 5) = 0.6. a = 5.

As a side note a = 5 shall be the only answer to this question since the area under the graph to the left of a can only increase or stay constant but not decrease as the value of a increases.

3 0
3 years ago
What is the correct factorization of x^2 - 2x - 15?
iragen [17]

Answer:

option b

Step-by-step explanation:

{x}^{2}  - 2x - 15

{x}^{2}  - 5x + 3x - 15 = 0

x(x - 5) + 3(x - 5) = 0

(x - 5)(x + 3) = 0

x = -3 (Not possible)

x = 5

So, x = 5

8 0
3 years ago
Tatiana wants to give friendship bracelets for 32 classmates. She already has 5 bracelets, and she can buy more bracelets in pac
Natasha2012 [34]

Answer:

b. No she will not have enough bracelets for all 32 classmates if she orders 5 more packages of bracelets

Step-by-step explanation:

write out the equation

p=the number of packages she needs to buy

32=5+4p

subtract five from both sides

32-5=5-5+4p

27=4p

dived both side by 4

27/4=4p/4

6.75=p round to 7

Check your answer:

4 x 7 = 28

add the number of bracelets she already has

28 + 5 = 33 bracelets

33>32

So <u>7 packages</u> is the minimum number of packages she needs to buy

6 0
3 years ago
Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled 3/4 for the flowers to l
Romashka [77]

Answer:

  84.8 in³

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

The volume Mary will be filling will be 3/4 of the 9-inch height of the vase, so is ...

  V = π(2 in)²(3/4·9 in) = 27π in³ ≈ 84.8 in³

_____

<em>Comment on the answer</em>

In more conventional units of measure, that is very nearly 3 pints of water.

8 0
3 years ago
What are the roots of the polynomial equation?
Andreas93 [3]

Answer:

The roots of the polynomial equation in this case would be the intersection of the 2 polynomial functions.  which are at  x = 4 and x = -3

Step-by-step explanation:

The roots are found by finding the x-values of the intersections of these two cubic polynomial functions.

We could try solving algebraically, but you have the graph.

6 0
4 years ago
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