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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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PLEASE HELP ASAP!!!!! a simulation by tossing a coin to model whether these puppies will be male or female. • Let heads (H) = fe

weeeeeb [17]

Answer:

7/10 or 70%

Step-by-step explanation:

There has to be at least two T in each result of the simulation. This means you can also have 3 T's and 4 T's in the result.

These are the results that qualify as having at least two T's.

1. TTTT, 2. TTTT, 3. THTH, 4. HTTT, 5. TTTT, 7. HTHT, 9. THTH

That is 7 out of the 10 results which is 7/10 or 70%

3 0

2 years ago

Solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions.

tatyana61 [14]

Answer: $\large\boxed{\text{No Solution}}$

Step-by-step explanation:

Given equation

$\sqrt{t+1}+9=7$

Subtract 9 on both sides

$\sqrt{t+1}+9-9=7-9$

$\sqrt{t+1}=-2$

Conclusion

$\text{Since radical values are always positive, it is false that }\sqrt{t+1}\text{ will equal to -2}$

$\text{Therefore, it is }{\large\boxed{\text{No Solution}}}\text{ in the context of real numbers}$

Hope this helps!! :)

Please let me know if you have any questions

8 0

1 year ago

What is the factor of 3x2-9x-12? pleaseeee help me guys !!

8090 [49]

Answer:3x² - 9x - 12 =

3(x² - 3x - 4) =

3(x² + x - 4x - 4) =

3(x(x+1)-4(x+1)) =

3(x+1)(x-4)

Step-by-step explanation:

8 0

4 years ago

Help me please!! will mark brainliest!

WITCHER [35]

10 hours seems like the most reliable answer because it matches up the best

8 0

3 years ago

Read 2 more answers

skelet666 [1.2K]

Answer:

option D. 126 cm

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

Triangles PQR and XYZ are similar by AA Similarity Theorem

$\frac{XY}{PQ}=\frac{YZ}{QR}=\frac{XZ}{PR}$

Let

z ---> the scale factor

$z=\frac{XY}{PQ}$

substitute the given values

$z=\frac{30}{5}=6$

step 2

Find the perimeter of triangle XYZ

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

p_1 ----> the perimeter of triangle XYZ

p_2 ---> the perimeter of triangle PQR

$z=\frac{p_1}{p_2}$

The perimeter of triangle PQR is

$p_2=5+10+6=21\ cm$

we have

$z=6\\p_2=21\ cm$

substitute

$6=\frac{p_1}{21}$

$p_1=6(21)=126\ cm$

therefore

The perimeter of triangle XYZ is 126 cm

5 0

4 years ago