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matrenka [14]
3 years ago
14

In order to unload clay easily, the body of a dump truck must be elevated to at least 45°. The body of a dump truck that is 12 f

eet long has been raised to 8 feet. Will the clay pour out easily? Show your work and draw a diagram to support your answer
Mathematics
1 answer:
olga nikolaevna [1]3 years ago
7 0
Assume that the angle is at the rear of the truck bed, and that the length of the truck bed is 12'.  Then:
          
                    opp side
tan theta = --------------
                    adj side

becomes:
                        8 ft
tan theta    = ---------    = 2/3 = approx.  0.667   
                       12 ft

Then tan theta = 2/3, and arctan (2/3) = 0.589 radian, or 33.7 degrees.

This is less than 45 deg, so the answer is NO, the clay will not pour out easily.

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Reading and Writing Decimal Numbers through Ten Thousandths
Vladimir [108]

Answer:

1. Sixteen thousandths 2.Twenty-four Ten-thousandths 3.Eighty-four Ten-thousandths 4. Twenty-six And Thirty-seven Ten-thousandths 5.Nine And Three hundred Sixty-eight Thousandths

8 0
2 years ago
What is the measure of angle 4?
nata0808 [166]

Answer:

m<4=104 degrees

Step-by-step explanation:

Angles 3 and 4 are both supplementary angles. They both add up to 180 degrees. So, if you know one of them then you can just do 180-measure of angle 3. 180-76=104 degrees

8 0
3 years ago
Read 2 more answers
Which equation is equivalent to log Subscript 3 Baseline (x 5) = 2?.
grin007 [14]

The equivalent equation is x - 4 = 0.

<h2>Linear system</h2>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

<h3>Simplification</h3>

Simplification is to make something easier to do or understand and to make something less complicated.

Given

The expression is \rm log_3(x + 5) = 2.

<h3>To find </h3>

The equivalent equation.

<h3>How to find the equivalent equation.</h3>

The expression is \rm log_3(x + 5) = 2.

On simplifying. we get

\begin{aligned} \rm log_3(x + 5) &= 2\\x + 5 &= 3^2\\x + 5 &= 9 \\x  &= 9 - 5\\x &= 4\\x - 4 &= 0\\\end{aligned}

The equivalent equation is x - 4 = 0.

More about the linear system link is given below.

brainly.com/question/20379472

4 0
2 years ago
Please help me. this is hard
allochka39001 [22]
Since it is a square that means each side is equal.
The perimeter is 24, and since there is four sides we would divide it by four to find the length of each side.

24/4 = 6

Each side is 6.
By looking at the picture, one side of the square, is the length of the radius.

The radius of the square is 6.

The only thing left to do is to find the circumference.
The circumference formulas are:

C = \pid
C = 2\pir

We can use the first one Diameter x pi (3.14)
To find the diameter we would just multiply the radius by two.

6 x 2 = 12

Diameter = 12

So multiply it by pi

12 x 3.14 = 37.68
or D 12\pi



7 0
3 years ago
What is the area of the figure? The diagram is not drawn to scale.
Veronika [31]
The picture in the attached figure

we know that
the figure is a parallelogram 
the area of parallelogram=base*height
in this problem
base=34 in
height=35 in
so
area=34*35----> area=1190 in²

the answer is
<span>A. 1,190 in^2</span>

4 0
3 years ago
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