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3 years ago

Find the length of side AB Give your answer to 1 decimal place

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

8 0

Answer:

First to find AB we use cosine

cos ∅ = Adjacent / hypotenuse

AB is the adjacent

BC is the hypotenuse

cos ∅ = AB/AC

cos 70 = AB / 8

AB = 8 cos 70°

AB = 2.736

AB = 2.7cm to one decimal place

Hope this helps

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So if the value of the solid's surface area is equal to the volume. Find the value of x

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Answer:The solid surface area is equal to the solid volume. Find the value of x? The measurements of the rectangular prism is 11 inches long and 3 inches wide. Height is not listed.

The height of the solid is 5in and the width is 6in. X is the value of the length

Step-by-step explanation:

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3 years ago

What is the area of a sector with a central angle of 8 π/11 radians and a radius of 7.2 ft? use 3.14 for π and round your final

coldgirl [10]

Answer:

$59.19 ft^2$

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=7.2\ ft$

$\pi =3.14$

substitute

$A=(3.14)(7.2)^{2}$

$A=162.78\ ft^2$

step 2

we know that

The area of a circle subtends a central angle of 2π radians

using proportion

Find out the area of a sector with a central angle of 8 π/11 radians

$\frac{162.78}{2\pi }\frac{ft^2}{rad} =\frac{x}{(8\pi/11)}\frac{ft^2}{rad} \\\\x=162.78(8/11)/2\\\\x=59.19\ ft^2$

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3 years ago

Which equation is equivalent to the given equation? x2 - 6x = 8

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Answer:

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3 years ago

There were 16 bales of hay in the barn. Fred stacked more bales in the barn today. there are now 93 bales of hay in the barn. ho

ddd [48]

Answer:

Step-by-step explanation:

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3 years ago

Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.

Alik [6]

Given:

In a right angle triangle, the measures of two legs are 5 ft and 5.6 ft. The measure of the hypotenuse is x.

To find:

The value of x.

Solution:

Pythagoras theorem: In a right angle triangle,

$(Hypotenuse)^2=(Base)^2+(Perpendicular)^2$

Using Pythagoras theorem, we get

$(x)^2=(5)^2+(5.6)^2$

$x^2=25+31.36$

$x^2=56.36$

Taking square root on both sides, we get

$x=\sqrt{56.36}$

$x=7.50733$

$x\approx 7.5$

The measure of missing side is 7.5 ft. Therefore, the correct option is D.

4 0

3 years ago