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faltersainse [42]
3 years ago
11

A rectangular picture frame is 5 inches wide and 10 inches tall. You want to make the area 6 times as large by increasing the le

ngth and width by the same amount. Find the number of0 inches by which each dimension must be increased.
​
Mathematics
1 answer:
kap26 [50]3 years ago
8 0

Answer:

5 inches

Step-by-step explanation:

(5 + x)(10 + x) = 6x²

x² + 15x + 50 = 6x²

5x² - 15x + 50 = 0

x² - 3x + 10 = 0

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

x = 5, x = -3

We want x to be positive, so x = 5.

Thus, each dimension must be increased by 5 inches.

You might be interested in
A foam kickboard to use for swimming has two identical hand grips.
arsen [322]

Answer:

a. 215.6 in^3

b. 1.51 lb

Step-by-step explanation:

The area of each hand grip hole is that of a circle of radius 0.6 in together with a rectangle 2 in long and 1.2 in wide. So, that area is ...

π·(0.6 in)^2 + (2 in)(1.2 in) = (0.36π +2.4) in^2

The area of the kickboard before the hand grip holes are put in is that of a semicircle of radius 5.5 in together with a rectangle 12 in long and 11 in wide. So, that area is ...

(1/2)·π·(5.5 in)^2 + (12 in)(11 in) = (15.125π +132) in^2

Taking the hand grip holes out, the top area of the board is ...

((15.125π +132) -2(0.36π +2.4)) in^2

= (14.405π + 127.2) in^2

___

a. The volume is the product of the area and the thickness, so is ...

((14.405π +127.2) in^2)·(1.25 in) ≈ 215.568 in^3

__

b. The weight of the kickboard is the product of its volume and its density:

(215.568 in^3)(0.007 lb/in^3) ≈ 1.509 lb

4 0
3 years ago
What is the value of y for the point with an x-value of 5?
crimeas [40]
-2y4 that is the answe
8 0
3 years ago
Find the volume.<br> h = 10 cm<br> rea<br> 144 cm
babunello [35]

Answer:

I'm not sure but I think it could be 1440cm³

Step-by-step explanation:

have a great rest of ur day

3 0
3 years ago
Please help it’s the last question
Mrac [35]

Answer:

y= -\frac{5}{6}x - 1 is the answer

Step-by-step explanation:

Equation of the line: y = 6/5x + 1

                        = 5y = 6x + 5

                        = 6x - 5y + 5

Equation of the perpendicular line: bx - ay + k = 0

                                                       = -5x -6y + k = 0

Equation passes through (6,-6),

-5(6) -6(-6) + k = 0

-30 + 36 + k = 0

6 + k = 0

k = -6

Substituting,

-5x -6y + k = 0

-5x -6y -6 = 0

-6y = 5x + 6

y= -\frac{5}{6}x - 1 (Slope-Intercept form)

6 0
3 years ago
5th Grade Math
LUCKY_DIMON [66]
516 is the dividend, 3 is the divisor, 172 would be the quotient.

3 goes into 5 once with a 2 remainder, that 2 turns into 21 because of the 1 in 516 which 3 goes into seven times with a remainder of zero turning into 6, which 3 goes into twice, making the quotient 172.

172 times 3 is 516
6 0
3 years ago
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