Find the missing angle x
Then BAC

Answer:

Step-by-step explanation:

Setting up a diagram would be helpful here, so we should have the vertical leg representing the 84-ft. tree and the horizontal leg representing the 120 ft. shadow.  With the two measurements we are given, we should use the tangent ratio, opp/adj,  to set up an equation to solve for the angle of elevation. So the equation will be:

tan θ = 84/120.  Using the tan inverse function on the calculator, we have tan-1( 84/120) = θ and, rounding our decimal value to the nearest 10th, we have θ =35°.  

volume of cone

= ⅓πr²h

= ⅓ × 3.14 × 9 × 9 × 12

= 3.14 × 3 × 108

= 3.14 × 324

= 1017.36 cm³

Answer:

4.3 minutes per mile

Step-by-step explanation:

26 minutes divided by 6 miles is 4.333, so the answer should be 4.3 minutes per mile. Hope this helped :)

Answer:

Step-by-step explanation:

AR⊥RS (tangent line is ⊥ to radius of the circle)

BS ⊥ RS (tangent line is ⊥ to radius of the circle.)

∴ AR and BS ⊥ to same line RS.

Hence either AR and BS are in same line  or parallel.

But they are radii of different circles.

∴ AR ║BS

The other dude is right, there is no point putting the same answer.

Step-by-step explanation:

2 Answers:

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Explanation:

There are a lot of lines here, so it's easy to get a bit lost if you're not careful. I recommend starting with a blank piece of paper. On it, draw two lines that intersect any way you want. An "X" shape forms. The angles that are opposite one another (eg: top and bottom angles) are known as vertical angles, and they are always congruent.

Going back to your diagram, angle R and angle U fit the description of vertical angles. We used two lines to form these vertical angles. Despite the name, the angles do not have to be aligned vertically. Unfortunately it's a misnomer in my opinion. Angle R is opposite angle U, and both are formed by the two slanted lines that go in both directions. It might help to copy the diagram your teacher has given to you, and then erase the portions that seem extra (eg: erase the ray that helps form angle S, and also erase angle S as well) and it might help show why angle R is a vertical angle pair with angle U.

Similarly, angle K and angle L fit the description as well, so this is the second pair of vertical angles.

Something like "angle E and angle N" is not an answer because we used 3 lines to help form these angles, instead of two only. We can rule out "angle S and angle J" for similar reasons.

As for when you see vertical angles in everyday life, it depends on what the context is. For example, if you're drawing out a floorplan, then knowing the angles may be very handy. You could use a protractor to measure the angles, or you could use geometric properties such as the vertical angle theorem to quickly determine the angle values (if you know some angles already).

Answer:

[tex] ln \: {x}^{ \sqrt{3} } = \sqrt{3} \: ln(x) [/tex]

We can write by power property of logarithm that [tex]logx^{\sqrt{3}}=\sqrt{3} logx[/tex]

A logarithm is the power to which a number must be raised in order to get some other number

We need to use the Property of Logarithms to write the logarithm as a product[tex]logx^{\sqrt{3}}[/tex]

We have a power property of logarithm that [tex]loga^{b} =bloga[/tex]

So Given logx to the power of root three

Here consider x as a and b as root 3.

[tex]logx^{\sqrt{3}}=\sqrt{3} logx[/tex]

Hence, We can write by power property of logarithm that [tex]logx^{\sqrt{3}}=\sqrt{3} logx[/tex]

To learn more on Logarithms click:

https://brainly.com/question/28346542

#SPJ2

Answer: [tex]\$11.5[/tex]

Step-by-step explanation:

Given

Demand function is [tex]p=22-2q[/tex]

The average cost function is [tex]c=2+q[/tex]

Total revenue is the product of demand and the price per unit.

[tex]r=\left(22-2q\right)q[/tex]

Profit is given by the difference of the total revenue and the cost

[tex]\Rightarrow P=r-c\\\Rightarrow P=22q-2q^2-2-q\\\Rightarrow P=-2q^2+21q-2[/tex]

Find the derivative of profit to get the maximum profit

[tex]\Rightarrow P'=-4q+21\\\text{Put the derivative equal to 0 to get the maximum profit}\\\\\Rightarrow q=\dfrac{21}{4}[/tex]

Put q in the equation of demand to get the price

[tex]\Rightarrow p=22-2\times \dfrac{21}{4}\\\\\Rightarrow p=22-10.5\\\Rightarrow p=\$11.5[/tex]

Answer:

254.57 in^3

Step-by-step explanation:

A cylinder has a height of 9 inches. The radius of the cylinder is 1 / 3 the height of the cylinder. What is the approximate volume of the cylinder?

volume of a cylinder = nr^2h

n = 22/7

r = radius

radius = 9 x 1/3 = 3 inches

(22/7) x (3^2) x 9 = 254.57 in^3

Answer:

www.imsorryineedpoints.orgStep-by-step explanation:

Answer:

Hi.

Step-by-step explanation:

Answer:

13. 3.5

14. 21.5

Step-by-step explanation:

For each one, divide the real size by what 1 unit measures. For the first question, the real size is 10.5 and 1 unit (in this case an inch) represents 3 feet. So do 10.5/3 to get the number of inches uses to represent the total width. 10.5/3 = 3.5

For the second one, the real size is 186 meters. And 1 unit (this time it's a centimeter) represents 4 meters. So do 186/4 and you get 21.5, which is the number of centimeters used to represent the total height.

Answer:

-18

Step-by-step explanation:

Answer:

2(5m-4n-10) SEE THE IMAGE BELOW:)

Step-by-step explanation:

Factor out 2 from the expression

so the answer would be 2(5m-4n-10)

Answer:

1

Step-by-step explanation:

if you put the line of symmetry anywhere else but down vertically it would not work .

Answer:

B. f and g are reflections of each other about the x-axis.

Step-by-step explanation:

I calculated it logically

Answer:

56 possible outcomes

Step-by-step explanation:

Order does not matter in this case, so we will find all the possible combinations:

8 nCr 3 = 8! / ((8 – 3)! 3!) = 40320 / 720 = 56

Therefore, there are 56 possible outcomes.

Answer:

You have to divide to unit price, 169/13 is equal to 13!

Step-by-step explanation:

Answer:

Move the image up the y-axis 3

Step-by-step explanation:

+ means up because it's on the y axis

Answer:12

Step-by-step explanation: i found the answer on another brainly account

ps: i hope you pass

Answer:

degree 24.7

Radian 0.43

Step-by-step explanation:

Answer:

B = -1

C = -1/2

D = 0

I hope this helps

Step-by-step explanation:

Let the unit distance be 'x'.

There are 4 units in between A and E. It means,

A(unit) + 4(unit) = E(unit)

-1 (1/2) + 4x = (1/2)

-(2+1)/2 + 4x = 1/2

- 3/2 + 4x = 1/2

4x = 1/2 + 3/2

4x = 4/2

x = 1/2

B is at distance x from A= -3/2 + 1/2 = -1

C is at distance 2x fromA=-3/2+2(1/2)=-1/2

D is at distance 3x from A=-3/2+3(1/2)=0

Answer:

about 11 or 12, the specifically 11.8

Step-by-step explanation:

hope that helps dont know how to do the inequality part tho

Answer:

D: 141 KG

Step-by-step explanation:

7.05 x 20 = 141

Just multiply the mass of the object by however many objects there are if they all weigh the same.

Answer:

The area of AEBC is 36 cm²

hope it is helpful to you

Answer:

The formula to generate 70% confidence interval is: [tex][\overline{x} - 0.013, \overline{x} + 0.013][/tex], in which [tex]\overline{x}[/tex]  is the sample mean.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.7}{2} = 0.15[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.15 = 0.85[/tex], so Z = 1.037.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Assume that body masses of Goldfinch birds follow a normal distribution with standard deviation equal to 0.04 oz.

This means that [tex]\sigma = 0.04[/tex].

Sample of 10 birds:

This means that [tex]n = 10[/tex].

The margin of error is of:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.037\frac{0.04}{\sqrt{10}}[/tex]

[tex]M = 0.013[/tex]

The lower end of the interval is the sample mean of [tex]\overline{x}[/tex] subtracted by M.

The upper end of the interval is the sample mean of [tex]\overline{x}[/tex] added to M.

Then, the formula to generate 70% confidence interval is: [tex][\overline{x} - 0.013, \overline{x} + 0.013][/tex], in which [tex]\overline{x}[/tex]  is the sample mean.

Answer:

C

Step-by-step explanation:

The cake has a shape of a rectangle prism

first of all we can find the base area, that represents the top of the cake

base area = base x width = 13 x 9 = 117 in^2

Now we have to find the lateral area

base perimeter = (base + width) x 2 = (13 + 9) x 2= 44 in

LA = base perimeter x height = 44 x 2 = 88 in^2

total icing surface:

base area + LA = 117 + 88 = 205 in^2

Answer:

Step-by-step explanation:

Identify the input values. Identify the output values. If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.

Answer:

6.5

Step-by-step explanation:

10x = 65

x = 65/10

x = 6.5

Answer:

x=6.5

Step-by-step explanation:

So our equation is:

10x-10=55

The first thing we can do to find x is get it alone. We can do this by getting rid of the number value 10:

10x=65

Next we can divide both sides by 10 to get rid of the x value 10, so x is alone:

x=65/10

=

x=6.5

So your answer is 6.5

Hope this helps!