A flagpole that is 21 ft tall casts a shadow that is 30 ft long. What is the angle of elevation of the sun when this shadow is cast?

Answer:

z=19

Step-by-step explanation:

3(5)=15

15+4=19

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Answer: z = 5/7

Step-by-step explanation:

Answer:

[tex]p(11)=626[/tex]

Step-by-step explanation:

Substitute the value (p(11)) into the function and evaluate by solving. Do not forget to follow the order of operations. The order of operations is the steps one must do operations in an equation in order to get a valid result, they are the following,

1. Parenthesis

2.Exponent/Radicals

3.Multiplication/Division

4.Addition/Subtraction

[tex]p(x)=5(x^2+1)+16[/tex]

Substitute,

[tex]p(11)=5((11)^2+1)+16[/tex]

Simplify,

[tex]p(11)=5(121+1)+16[/tex]

[tex]p(11)=5(122)+16[/tex]

[tex]p(11)=610+16[/tex]

[tex]p(11)=626[/tex]

Answer:

35

Step-by-step explanation:

7n;n=5

7n

n=5

7×5=

n=35

Answer:

35

Step-by-step explanation:

so 7n; n=5

substitute the "n" attached to 7 with 5

so it would be 7 times 5 which equals 35

Answer:

onomatopoeia

Step-by-step explanation Onomatopia is when the author uses sounds in their writing. In this case ooohing and ahhing were the sounds.

Answer:

Yes (6,1) is a solution to the inequality

Step-by-step explanation:

Plug in the coordinate point and check:

11(6)+3(1)>4?

66+3>4?

69>4

Since 69 is indeed greater than 4, then (6,1) is a solution to the inequality.

Answer:

Im not sure if you have to provide an exact or estimated answer so here's both:

314.16 cm3     or   100pi

Answer:

100π

Step-by-step explanation:

[tex]V=\frac{pi r^{2} h}{3} \\ =\frac{pi*5^{2}*12 }{3} \\ =pi*5^{2} *4\\ =pi*25*4\\ =pi*100[/tex]

Sorry I had to write pi instead of π in the equation

Answer:

AC = 20

Step-by-step explanation:

Δ BDE and Δ BAC are similar, so the ratios of corresponding sides are equal, that is

[tex]\frac{AC}{DE}[/tex] = [tex]\frac{BA}{BD}[/tex] , substitute values

[tex]\frac{AC}{8}[/tex] = [tex]\frac{10}{4}[/tex] ( cross- multiply )

4AC = 80 ( divide both sides by 4 )

AC = 20

In the triangle ABC if  DE is parallel to AC then the length of AC is 12 units.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that the triangles ABC and BDE are similar triangles.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Let us form a proportional equation by comparing the proportional sides.

AC/DE=AD/BD

AC/8= 6/4

Apply cross multiplication

AC=48/4

Divide numerator and denominator by 4.

AC=12

Hence, in the triangle ABC if  DE is parallel to AC then the length of AC is 12 units.

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Answer:

8

Step-by-step explanation:

-4x+8+2x

2x+8

compare both sides

2x+__= 2x+8

it is 8

Answer:

28

Step-by-step explanation:

Answer:

oh wait i got it! those are oppisite from eachother so theyre angle is the same. the answer would be 59°

Answer:

b=59º

Step-by-step explanation:

Vertical angle theorem states that if angles are vertical, they are congruent.

Hello!

This is a problem about relating values of the Unit Circle.

First, we need to figure out the specific "points" of each angle measure of 30 and 60.

For the angle measure 30, the point will be [tex](\frac{\sqrt{3}}{2},\frac{1}{2})[/tex].

For the angle measure 60, the point will be [tex](\frac{1}{2},\frac{\sqrt{3}}{2})[/tex].

The tangent value of a point will be its [tex]y[/tex] value over its [tex]x[/tex] value.

[tex]\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}=\frac{1}{2}*\frac{2}{\sqrt{3}}=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]

The cotangent value of a point will be the reciprocal of the tangent value, which we found previously.

[tex]\frac{3}{\sqrt{3}}=\frac{3\sqrt{3}}{3}=\sqrt{3}[/tex]

The sine value of a point will be the [tex]y[/tex] value of the point.

[tex]\frac{\sqrt{3}}{2}[/tex]

So the values we have so far are [tex]\frac{\sqrt{3}}{3}+\sqrt{3}+\frac{\sqrt{3}}{2}[/tex]

Now we have to find the LCD to add these together, which in this case would be 6.

[tex]\frac{2\sqrt{3}}{6}+\frac{6\sqrt{3}}{6}+\frac{3\sqrt{3}}{6}[/tex]

Which adds up to [tex]\frac{11\sqrt{3}}{6}[/tex], which is in simplest radical form.

Hope this helps!

Answer:

y = -2 and x = 5

Step-by-step explanation:

2x + 3y = 4

-2x - y = -8

Since this is a system of equations, we can either substitute or subtract. I will be subtracting.

2x + 3y - 2x - y = 4 - 8

2y = -4

y = -2

Now that we have y, we will plug it in for the first equation and solve.

2x + 3(-2) = 4

2x - 6 = 4

    + 6  + 6

2x = 10

x = 5

Answer:

D

Step-by-step explanation:

Here is a video to help you with your question:

https://youtu.be/WaeD3qKc7Jc

Step-by-step explanation:

You can use this app is call symbols and it's completely free.

Hope this helps

Answer:

Its C

Step-by-step explanation:

23 times 34 is 782 and since its a square you add the 2

Answer:

They are all ready rounded to the nearest Hundred ??

Step-by-step explanation:

They are already

Answer:

first one is 5000 and second one is 2000

Step-by-step explanation

I learned this already

Answer:

a) growing

b) 5% per year

c) $11819.64

Answer:

i am pretty sure it's a.

Step-by-step explanation:

i hope this helps :)

Answer:

it's -2sqrt7

the first answer

Step-by-step explanation:

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1 = 61° because it is a corresponding angle to angle 6  

2 = 119° because it is an alternate exterior angle to angle 7  

3 = 61° because it is an alternate angle to angle 1  

4 = 119° because it is an alternate angle to angle 2  

5 = 119° because it is an alternate angle to angle 7  

6 = 61° because is is an alternate angle to 61°  

7 = 119° because it and 61° are supplementary angles (total 180° together)

Answer:

1 = 61° because it is a corresponding angle to angle 6

2 = 119° because it is an alternate exterior angle to angle 7

3 = 61° because it is an alternate angle to angle 1

4 = 119° because it is an alternate angle to angle 2

5 = 119° because it is an alternate angle to angle 7

6 = 61° because is is an alternate angle to 61°

7 = 119° because it and 61° are supplementary angles (total 180° together)

Step-by-step explanation:

The graph of  y=-x^2-12x-35 is attached and it has x intercepts at x=-7 and x=-5 and vertex is at (6, -107).

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

To graph the equation y=-x^2-12x-35, we can start by finding the x-intercepts (or roots) and the vertex of the parabola.

To find the x-intercepts, we can set y=0 and solve for x:

0 = -x² - 12x - 35

Using the quadratic formula, we get:

x=-b±√b²-4ac/2a

x=12±√144-140/2(-1)

x=12±√144-140/(-2)

x=12±2/(-2)

The x-intercepts are approximately x=-7 and x=-5

To find the vertex, we can use the formula x=-b/2a to get the x-coordinate, and then substitute it into the equation to get the y-coordinate:

x = -b / 2a = -(-12) / 2(-1) = 6

y = -x² - 12x - 35 = -(6)^2 - 12(6) - 35 = -107

So the vertex is at (6, -107).

Hence, the graph of  y=-x^2-12x-35 is attached and it has x intercepts at x=-7 and x=-5 and vertex is at (6, -107).

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Answer:

z = -2.13

Therefore, the standardized z score for the state of Colorado means the score is below the mean.

Step-by-step explanation:

The formula for z score is given as:

z = (x-μ)/σ,

where

x is the raw score = 9.7%

μ is the population mean = 13.26%

σ is the population standard deviation = 1.67%

z = z score or standardize score

Hence,

z = 9.7 - 13.26/1.67

z = -2.13174

Approximately z = -2.13

Therefore, the standardized z score for the state of Colorado means the score is below the mean

Answer:

Step-by-step explanation:

speed=distance /time=0.9/2.5=90/25=3.6 m/s

Answer:

D

Step-by-step explanation:

Answer:

416$

Step-by-step explanation:

Answer:

$5.00

Step-by-step explanation:

$5 because it occurs the most

Answer:

$5

Step-by-step explanation:

The mode is the price that appears the most often in a given list.

Answer:

200 in2

Step-by-step explanation:

diameter= 15 in. so raduis = 15/2

area of circle = πr2

= 22/7 * 15/2 *15/2

= 176.79

rounding to the nearest 100, its 200 in2

Answer:

Where is the image to the equations?

Step-by-step explanation:

Answer:

there's no picture???

Step-by-step explanation:

Answer:

5.4 units

Step-by-step explanation:

The diagonal AC has length

|AC|  =  √(2² + 5²) = √29 ≈ 5.4 units.

The horizontal distance from A to C is 2 units; the vertical distance is 5 units.  That's where the 2² and 5² come from.