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2 years ago

Please help its math

Mathematics

1 answer:

Len [333]2 years ago

7 0

Answer:

Step-by-step explanation:

3 divided by one third is 1. Then you do one plus one which is two. Then you do 9 minus 2, which is 7.

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How do yo slove the problem

maksim [4K]

4) In triangle, angle opposite to perpendicular is 90-60 = 30
So, tan Ф = P/B
tan 30 = a / 6
1/√3 = a/6
a = 6/√3
a = 2√3

Now, cosФ = B/H
cos 30 = 6/b
√3/2 = 6/b
b = 6*2/√3
b = 12/√3
b = 4√3

In short, Your Answer would be a = 2√3 and b = 4√3

Hope this helps!

6 0

3 years ago

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Geo please help I have two question!

cricket20 [7]

Answer:

Step-by-step explanation:

From the given right angle triangle,

the hypotenuse of the right angle triangle is 13

With m∠65° as the reference angle,

y represents the adjacent side of the right angle triangle.

x represents the opposite side of the right angle triangle.

To determine the value of x, we would apply the sine trigonometric ratio which is expressed as

Sin θ = opposite side/hypotenuse. Therefore,

Sin 65 = x/13

x = 13Sin65 = 13 × 0.906

x = 11.8 to the nearest tenth

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3 years ago

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Which answer correctly estimates the product of 3.09 × 304.87? A. about 9.0 B. about 9.9 C. about 90 D. about 900

KiRa [710]

The answer is D) About 900

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3 years ago

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What is the center of the circle shown below?

Diano4ka-milaya [45]

Answer:

A. S

Step-by-step explanation:

The edge of the circle would be M and there is a line to the center showing the radius. The second letter shows the center.

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3 years ago

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A rectangular solid with a square base has a volume of 2,744 cubic inches. (Let w represent the length of the sides of the squar

vaieri [72.5K]

Answer:

For minimum surface area, the base length and height are equal in length and <u>equal to 14 inches.</u>

Step-by-step explanation:

Given:

Volume of rectangular solid (V) = 2744 cubic inches

Length of base side = 'w'

Height of solid = 'h'

We know that,

Volume = Area of base × Height

$2744=(w\times w)\times h\\\\2744=w^2h\\\\h=\frac{2744}{w^2}-----(1)$

Now, surface area of the solid is given as:

$Surface\ area=2\times (base\ area)+4(hw)\\\\Surface\ area=2w^2+4hw$

Plug in 'h' value from equation (1). This gives,

$Surface\ area=2w^2+4\times\frac{2744w}{w^2}\\\\Surface\ area=2(w^2+\frac{5488}{w})$

Now, for minimum surface area, the derivative of surface area with respect to length 'w' must be 0.

Differentiating both sides with respect to 'w' and equating it to 0, we get:

$\frac{dS}{dw}=0\\\\\frac{d}{dw}[2(w^2+\frac{5488}{w})]=0\\\\2w-\frac{5488}{w^2}=0\\\\2w=\frac{5488}{w^2}\\\\w^3=\frac{5488}{2}\\\\w=\sqrt[3]{2744}= 14\ in$

Therefore, the base length is 14 inches.

Now, from equation (1), the height is given as:

$h=\frac{2744}{w^2}\\\\h=\frac{2744}{14^2}=14\ in$

Therefore, for minimum surface area, the base length and height are equal in length and equal to 14 inches.

7 0

3 years ago