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Andru [333]
2 years ago
6

Also need help with this one

Mathematics
1 answer:
katen-ka-za [31]2 years ago
8 0
Let the width of table B be w, and since area of table A = area of table B, then 6 2/3 x 3 1/2 = 4 1/4 x w    [this is the required equation]
20/3 x 7/2 = 17/4 w
17/4 w = 70/3
w = 70/3 / 17/4 = 70/3 x 4/17 = 280/51 = 5 25/51
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A parallelogram has sides 10m and 12m and an angle of 45°. Find the distance between the 12m-sides.
stich3 [128]

Answer:

The distance between 12m-sides is 5\sqrt{2}m.

Step-by-step explanation:

It is given that the parallelogram has sides 10m and 12m and an angle of 45°.

Draw an altitude from one 12m side to another 12 m side as shown in below figure.

The opposite angles of parallelogram are same. Two angles are obtuse angles and two are acute angle.

Since angle C is acute angle therefore it must be 45 degree.

\sin\theta=\frac{perpendicular}{hypotenuse}

\sin C=\frac{BE}{BC}

\sin(45^{\circ})=\frac{d}{10}

\frac{1}{\sqrt{2}}=\frac{d}{10}

\frac{10}{\sqrt{2}}=d

\frac{10}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}=d

\frac{10\sqrt{2}}{2}=d

5\sqrt{2}=d

Therefore the distance between 12m-sides is 5\sqrt{2}m.

4 0
3 years ago
I NEED HELP ON THIS CONSTRUCTED RESPONSE! :(
Simora [160]

Answer:

<em>x = -10</em>

Step-by-step explanation:

(9/2)(8 - x) + 36 = 102 - (5/2)(3x + 24)

Multiply both sides by 2.

9(8 - x) + 2 * 36 = 2 * 102 - 5(3x + 24)

Distribute on both sides.

72 - 9x + 72 = 204 - 15x - 120

Combine like terms on each side.

144 - 9x = 84 - 15x

Subtract 144 from both sides. Add 15x to both sides.

6x = -60

Divide both sides by 6.

x = -10

7 0
3 years ago
Help please will give brainliest if correct
insens350 [35]
The answer is $160. You have to subtract 200 from 20%
8 0
3 years ago
Read 2 more answers
In ΔDEF, the measure of ∠F=90°, FD = 75 feet, and EF = 95 feet. Find the measure of ∠D to the nearest tenth of a degree. (Plz an
meriva

Answer:

  51.7°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

  Tan = Opposite/Adjacent

  tan(D) = EF/FD = 95/75

  D = arctan(95/75)

  ∠D ≈ 51.7°

6 0
3 years ago
What is the image of (9, 12) after a dilation by a scale factor of į centered at the
Advocard [28]

Answer:( 3, 4)

Step-by-step explanation: :)

6 0
3 years ago
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