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3 years ago

What is the area of the composite figure?

Mathematics

2 answers:

Evgesh-ka [11]3 years ago

5 0

Answer:

Area of the semi circle is given by

$= \frac{\pi \: {r}^{2} }{2 } = \frac{\pi {(4)}^{2} }{2} = 8\pi$

Area of the triangle is given by,

$= \frac{1}{2} \times 8 \times 3 = 12$

Area of the given figure,

$(8\pi + 12) {inc}^{2}$

Radda [10]3 years ago

4 0

Answer:

C on edge, just took the test and got it right.

Step-by-step explanation:

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a construction company is pouring a concrete foundation. The measures of the two sides that meet in a corner are 33 feet and 56

iris [78.8K]

Answer:

The diagonal must be $65\ feet$ in order to make right angle.

Step-by-step explanation:

Given the measure of the two sides that meet in a corner are $33$ feet and $56$ feet.

We need to find the length of the diagonal, that will make a right angle.

Let $a=33\ feet$ , $b=56\ feet$ and $c$ is the diagonal.

For the right-angle triangle, we will use Pythagorean's theorem.

$a^2+b^2=c^2\\33^2+56^2=c^2\\1089+3136=c^2\\4225=c^2\\\sqrt{4225}=\sqrt{c^2}\\c=65\ feet$

So, the diagonal must be $65\ feet$ in order to make right angle.

3 0

3 years ago

Find the volume of the parallelepiped determined by the vectors a, b, and c. a = 1, 3, 2 , b = −1, 1, 5 , c = 4, 1, 3 in cubic u

pantera1 [17]

Answer:

57 u^3

Step-by-step explanation:

We know that the volume of the parallelepiped determined by the tree vectors is equal to the absolute value of its scalar triple product:

$V = |(a\times b)\cdot c|=| \det \left( \left[\begin{array}{ccc}1&3&2\\-1&1&5\\4&1&3\end{array}\right] \right)| = |1(3-5) - 3(-3-20)+2(-1-4)| = |-2+69-10|=|57|=57$

Where we used that the scalar triple product of three vectors equals the absolute value of its determinant.

Therefore, the volume of the parallelepiped is: 57 u^3

7 0

4 years ago

A heap of rubbish in the shape of a cube is being compacted into a smaller cube. Given that the volume decreases at a rate of 3

inna [77]

Answer:

-1/4 meter per minute

Step-by-step explanation:

Since, the volume of a cube,

$V=r^3$

Where, r is the edge of the cube,

Differentiating with respect to t ( time )

$\frac{dV}{dt}=3r^2\frac{dr}{dt}$

Given, $\frac{dV}{dt}=-3\text{ cubic meters per minute}$

Also, V = 8 ⇒ r = ∛8 = 2,

By substituting the values,

$-3=3(2)^2 \frac{dr}{dt}$

$-3=12\frac{dr}{dt}$

$\implies \frac{dr}{dt}=-\frac{3}{12}=-\frac{1}{4}$

Hence, the rate of change of an edge is -1/4 meter per minute.

4 0

3 years ago

Bill is riding his bicycle. He takes 5 hours to ride 62.5 kilometers. What is his speed?

insens350 [35]

He is going 12.5 kilometers per hour.
or 12.5 kph
or 12 1/2 kph

4 0

3 years ago

Plssssssssssssssssssssssssss<br> helppppppppppppppppppppppppppp<br> fasttttttttttttttttttttttttttt

sp2606 [1]

$\huge\underline\bold{A} \underline\frak{nswer :}$

$✠===============✠$

$\large \boxed{b.pound}$

$\large\sf\to\green{explanation}$

Pound is defined as the basic unit for weight in the Foot Pound Second (F.P.S) system and is equal to 16 ounces

$✠===============✠$

The basic units for length or distance measurements in the English system are the inch, foot, yard, and mile. Other units of length also include the rod, furlong, and chain. survey foot definition. In the English system, areas are typically given in square feet or square yards.

$✠===============✠$

#CarryOnLearning

<em>mark me brainliest please</em>

3 0

2 years ago