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bekas [8.4K]
3 years ago
5

The radius of the base of the right circular cone shown below is 5 inches and the height of the cone is 7 inches solving which o

f the gollowing equations gives the measure 0 of the angle formed by a height of the cone and a radius
Mathematics
1 answer:
kotykmax [81]3 years ago
6 0

Answer:

The required equation is \tan\theta=\dfrac{7}{5}.

Step-by-step explanation:

Consider the provided information.

The required figure is shown below:

It is given that the radius of the base is 5 inches and the height of the cone is 7 inches.

We need to given the equation which gives the measure of \theta.

Now consider the right angle triangle making an angle \theta.

\tan\theta=\frac{\text{Opp}}{\text{Adj}}

\tan\theta=\dfrac{7}{5}

Hence, the required equation is \tan\theta=\dfrac{7}{5}.

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The perimeter of a triangle is 64cm ,the sides are the ratio 6:5:5 , work out the area of the triangle
Fofino [41]
The area is 192 cm^2

the sides are 20 20 24 with the base being 24

to figure out the height you have to use Pythagorean theorem of the triangle cut in half so 12^2 + b^2 = 20^2
b= 16 = height

b*h* .5= area 16* 24* .5= 192
4 0
3 years ago
The point slope form of a line that has a slope of -2 and passes through point (5,-2) is shown below.
Likurg_2 [28]
Insert the point, (5,-2) with the slope of the line to figure out the equation. You can either use point-slope form, or plug it for for slope-intercept form.

Slope-intercept form:
-2 = -2(5) + b
-2 = -10 + b
Add 10 on both sides
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Thus,

y = -2x + 8

Answer is B
4 0
3 years ago
PLZ I NEED HELP WITH THIS QUESTIOn
lesya692 [45]

Answer:

12 units

Step-by-step explanation:

there are 3 sqaures counted from (0,0) to (3,0)

so do 3 + 3 + 3+ 3 and get 12 units

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5 0
3 years ago
Read 2 more answers
Plutonium-240 decays according to the function L where o
PIT_PIT [208]

Answer:

\boxed{\textbf{1700 yr}}

Step-by-step explanation:

-\dfrac{\text{d}L}{\text{d}t} = kL\\\\\dfrac{dL}{L}=-kdt\\\\\ln L = -kt + C\\\text{At t = 0, L = L$_{0}$, so C = $\ln L_{0}$}\\\ln L = -kt + \ln L_{0}\\\ln L_{0} - \ln L = kt\\\\\ln \dfrac{L_{0}}{L} =kt

Data:

L₀ = 24 g

L = 20 g

k = 0.000 11 yr⁻¹

Calculation:

\ln \dfrac{24}{20} =0.000 11t\\\\\ln 1.2 = 0.000 11t\\\\0.1823 = 0.000 11t\\\\t = \dfrac{0.1823}{0.000 11} = \textbf{1700 yr}\\\\\text{It will take } \boxed{\textbf{1700 yr}}\text{ for the polonium to decay to 20 g}

8 0
3 years ago
Find the slope of the table below a.5,b.1,c.1/5, d.10​
strojnjashka [21]

Answer:

Slope=2/10 or 0.2

Step-by-step explanation:

First, pick the numbers you want to use for slope. I will be using -10 as x1, 0 as x2, -1 and y1, and 1 for y2. The formula for slope is y2-y1/x2-x1.

Plug in these numbers: 1+1 (two negatives make a positive)/0+10(again, two negatives combine to make a positive)

This makes 2/10, which divided eaquals 0.2.

You can use either 2/10 or 0.2 as your answer, depending on what your teacher requires. Have a nice day and let me know if you have any questions!! :)

6 0
3 years ago
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