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GREYUIT [131]
3 years ago
9

Which expression is equivalent to -80? -415 -415 4.V5; 45

Mathematics
1 answer:
never [62]3 years ago
6 0

Answer:

It would be 4.v5

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While visiting Wallawulla State​ Park, Joe approximated the angle of elevation to the top of a mound to be 40 degrees . After wa
katen-ka-za [31]

Answer:

Height of mound = 794 ft

Step-by-step explanation:

To illustrate the angle of elevation and distance, i have drawn it and attached below.

Now, from my diagram;

h = the height of the mound

At his first point of his trip to the foot of the mound, the angle of elevation is 40°, while the horizontal distance to the foot of the mound is "X"

So, by triangle definition,

tan(40°) = h/x

And so;

h = x tan40

h = 0.8391x  - - - - (eq 1)

At his second point of the trip to the foot of the mound, Joe is now,

"(x - 450) ft" from the foot of the mound.

Thus, his angle of elevation is 40 + 18 = 58°.

So, by triangle definition,

tan(58°) = h/(x - 450)

h = (x - 450)•(tan(58°))

h = 1.6003(x - 450)

h = 1.6003x - 720.135   - - - - -(eq2)

To get the height(h) of the mound, let's equate (eq1) to (eq2).

0.8391x = 1.6003x - 720.135

1.6003x - 0.8391x = 720.135

0.7612x = 720.135

x = 720.135/0.7612

x = 946.0523 ft

Let's put this value for x in eq (1);

h = 0.8391 x 946.0523 = 793.83 ft ≈ 794ft

4 0
3 years ago
find the number of possible combinations choose one of three books and one of eight CDs to bring on a bus trip
SVEN [57.7K]
There is a possibility of 24 combinations I believe
6 0
3 years ago
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The rectangular prism is to be sliced perpendicular to the shaded face and is to pass through point B, parallel to the front fac
kodGreya [7K]

The dimensions of the rectangular cross section will be<u> 10 centimeters by 18 centimeters</u>

<u></u>

Step-by-step explanation:

As ,we know

<u>The rectangular cross section is parallel to the front face</u>

Which clearly states that

The dimensions of the rectangular  cross section is congruent with the dimensions of the front face

Lets assume that  dimensions of the front face are 10 centimeters by 18 centimeters

<u>Then ,The dimensions of the cross section will also be  10 centimeters by 18 centimeters</u>

<u></u>

<u>Hence we can say that the</u> dimensions of the rectangular cross section will be<u> 10 centimeters by 18 centimeters</u>

4 0
3 years ago
What is 34 divided by 45
Mrrafil [7]
34 ÷ 45 \frac{34}{45}= 0.7555555555556 ≈ 0.76
7 0
3 years ago
A line passes through the points (–3, –4) and (6, 2). What number is the x-intercept?
LuckyWell [14K]

Answer:

<h2>D. 3</h2>

Step-by-step explanation:

\bold{METHOD\ 1}

\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{x-intercept:}\ (x,\ 0).\\\\\text{Susbtitute the coordinates of the points to the formula of a slope}\\\\(-3,\ -4),\ (6,\ 2),\ (x,\ 0):\\\\m=\dfrac{2-(-4)}{6-(-3)}=\dfrac{2+4}{6+3}=\dfrac{6}{9}=\dfrac{6:3}{9:3}=\dfrac{2}{3}\\\\m=\dfrac{0-2}{x-6}=\dfrac{-2}{x-6}\\\\\text{Therefore we have the equation:}\\\\\dfrac{-2}{x-6}=\dfrac{2}{3}\qquad\text{cross multiply}\\\\2(x-6)=(-2)(3)\\\\2(x-6)=-6\qquad\text{divide both sides by 2}\\\\x-6=-3\qquad\text{add 6 to both sides}\\\\x=3

\bold{METHOD\ 2}\\\\\text{Look at the picture.}

Mark points in the coordinate system.

Lead a line through these points.

Read x-intercept.

5 0
3 years ago
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