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3 years ago

Please help! All in the image:

Mathematics

2 answers:

charle [14.2K]3 years ago

8 0

Answer:

66 cm^2

Step-by-step explanation:

By equating the area we get x = 6.

spin [16.1K]3 years ago

6 0

Answer:The area of the inner rectangle is 66 cm^2

Step-by-step explanation:

The diagram is that of a rectangle with a certain thickness. The area of the outer rectangle is given as 99cm^2. The length I given as (x + 5) and the width is given as x + 3.

The formula for the area of a rectangle is expressed as length, ×width,w. Therefore,

(x + 5)((x + 3) = 99

x^2 + 3x + 5x + 15 = 99

x^2 + 3x + 5x + 15 - 99 = 0

x^2 + 8x - 84 = 0

x^2 + 14x - 6x - 84 = 0

x(x + 14) - 6(x + 84) = 0

(x + 14)(x - 6) = 0

x + 14 = 0 or x - 6 = 0

x = - 14 or x = 6

x cannot be negative so x = 6 cm

The length of the inner rectangle is 2x - 1 = 2×6 - 1 = 12 - 1 = 11 cm.

The width of inner rectangle is x = 6 cm. The area of the inner rectangle is

11×6 = 66 cm^2

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How do change 13 1/4 into decimal form

Bess [88]

That would be 13.25, 13+1/4
= 13+(1 divided by 4 which is 0.25)
= 13+0.25
Which is 13.25 so your answer is 13.25, good luck hope that helps :D

7 0

3 years ago

4)Without a calculator, name the zeros and sketch the graph.<br> 56.) = -2x(x-4)^2(x+3)^2

Ilia_Sergeevich [38]

Answer:

0, 4, -3

Step-by-step explanation:

replace y with 0 and then fro the sketch I recommend you tomuse desmos good luck buddie

6 0

3 years ago

Weather affects flights across the nation, causing delays, cancellations, and general disruption to the NAS. You have gathered a

hammer [34]

Answer:

a.) one sample t test

b.) H0 : μ = 59.3

c.) H1 : μ > 59.3

d.) μ = 59.3 ; σ = 39.84

e.) xbar = 79.4 ; s = 61.36

Test statistic = 3.16

Step-by-step explanation:

Given the sample data:

49.00 49.00 49.00 49.00 49.00 63.00 63.00 63.00 63.00 63.00 199.00 199.00 199.00 199.00 199.00 38.00 38.00 38.00 38.00 38.00 48.00 48.00 48.00 48.00 48.00 49.00 63.00 199.00 38.00 48.00

Sample size, n = 30

Using calculator :

xbar from the data above = 79.4

Standard deviation = 61.359

H0 : μ = 59.3

H1 : μ > 59.3

Test statistic :

(Xbar - μ) ÷ (σ/sqrt(n)

σ = 34.83

(79.4 - 59.3) ÷ (34.83/sqrt(30))

20.1 ÷ 6.359

Test statistic = 3.16

4 0

2 years ago

A rectangle is 13 feet long and 4 feet wide. Find its area.

tatuchka [14]

Answer:

Step-by-step explanation:

13×4=52

area is 52

have a nice day

8 0

3 years ago

Read 2 more answers

Someone please help. i will mark as brainliest if right :)

DIA [1.3K]

Answer:

The other factor is 5x-2

Step-by-step explanation:

Using the factorisation method:

Two numbers that multiply to give -10 and add to give +3:

+5 and -2

$5x^{2} +5x-2x-2$

$5x(x+1) -2(x+1)$

$(x+1)(5x-2)$

So the other factor is 5x-2

I'm not sure about the second part of the question but I hope you understood how to deal with the first part.

5 0

2 years ago