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A security camera in a neighborhood bank is mounted on a wall 9 feet above the floor. What angle of depression should be used if the camera is to be directed to a spot 6 feet above the floor and 12 feet from the wall? ​

Answer:

4) 14.5

6) 11.4

Step-by-step explanation:

4) Area = 20 * 21/2 = 29 * x/2

so x = 20 * 21/29 = 14.5

6) Area = 22.4 * 13.2/2 = 26 * x/2

so x = 22.4 * 13.2/26 = 11.4

Answer:

p=3.5

Step-by-step explanation:

So minus 1/2 on both sides. p= 3.5

Step-by-step explanation:

Multiplication property of equality is when you multiply the same number on both sides of an equation, the equation will still hold true.

In order to have x by itself, you need to multiply by 6. The property states that you can multiply 6 on both sides and the equation will still hold true.

Answer:

x = 26

Step-by-step explanation:

180 = (5x-10) + (3x-18)

180 = 8x -28

180 + 28 = 8x

208 = 8x

x = 26

Answer:

Yola is 42, Zed is 19

Step-by-step explanation:

I used a system of equations:

y - z = 23

2z + y = 80

Then I graphed them.

Answer: D

Step-by-step explanation:

You need to prove that the diagonals bisect each other to prove it's a parallelogram.

Now, to prove it's a square, you need to prove it's both a rectangle and a rhombus.

Answer:

150.66

Step-by-step explanation:

Answer:

Answers A C C B A C C A

Step-by-step explanation:

This can alternatively be written as 0.74 < p < 0.78

========================================================

Explanation:

n = 2500 = sample size

x = 1900 = number of successes = number who plan to vote

phat = x/n = 1900/2500 = 0.76

phat is the sample proportion that estimates the population proportion p.

At 95% confidence, the z critical value is roughly z = 1.96 which you use a table or calculator to find this value (or it's something you memorize).

E = margin of error

E = z*sqrt(phat*(1-phat)/n)

E = 1.96*sqrt(0.76*(1-0.76)/2500)

E = 0.016742 approximately

The lower bound (L) of the confidence interval is

L = phat - E

L = 0.76 - 0.016742

L = 0.743258

L = 0.74

The upper bound (U) of the confidence interval is

U = phat + E

U = 0.76 + 0.016742

U = 0.776742

U = 0.78

The values of L and U are approximate.

The confidence interval in the format (L, U) would be (0.74, 0.78) approximately.

Another way to write the confidence interval is to say 0.74 < p < 0.78 as it's in the form L < p < U; showing that we're 95% confident that p is somewhere between 0.74 and 0.78

In other words, we're 95% confident that between 74% and 78% of the population would plan to vote in the next presidential election.

[tex]\\ \rm\Rrightarrow \sqrt{36x^{21}y^{64}}=6y^8x^{10.5}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt[15]{7^{10}a^{25}b^{-35}}=7^{2/3}a^5b^{-7}{3}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt[3]{648(3m-2n)^{64}}=648^{1/3}(3m-2n)^4[/tex]

[tex]\\ \rm\Rrightarrow \sqrt[4]{(a^2-2a+1)^{29}(a^2-1)^7}=(a^2-a+1)^{29/4}(a^2-1)^{7/4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{3a^2b}{\sqrt[3]{18a^{21}b^{17}}}=\dfrac{3a^2b}{18^{1/3}a^7b^{17/3}}=\dfrac{3a^{-5}b^{-14/3}}{18^{1/3}}=\dfrac{3}{18^{1/3}a^5b^{14/3}}[/tex]

Answer:

  see attached

Step-by-step explanation:

We assume you are looking for the graph of ...

  y = log(x) +4

This represents a vertical translation 4 units upward of the graph of log(x). That is, the point (1, 0) that appears on a graph of a log function will be translated to (1, 4).

The only graph shown that goes through the point (1, 4) is the last one, attached.

__

If you are actually looking for the graph of ...

  y = log(x +4)

it will be a graph of the log function shifted 4 units to the left. The 2nd offered choice is that graph. The point (-3, 0) will be on that graph.

_____

Additional comment

For a function y = f(x), the transformation ...

  y = f(x -h) +k

represents a horizontal shift of h units to the right, and a vertical shift of k units upward. Here, the argument of the log function is not clearly shown, so we cannot tell if the intended shift is to the left or upward.

Answer:

C. Substitution

But gives you infinity solitions

Solving steps:

Step: Solvey=1/2

x+6for y:

y=1/2x+6

Step: Substitute

1/2

x+6foryin−2x+4y=24:

−2x+4y=24

−2x+4(1/2x+6)=24

24=24(Simplify both sides of the equation)

24+−24=24+−24(Add -24 to both sides)

0=0

Answer:

18 years old

Step-by-step explanation:

20÷2=10

10+8=18 years old

Answer:

Step-by-step explanation:

Restate the problem:

 "  29% of x is $28.9 million"

   (29/100)x = $28.9 million  

          [in word (story) problems "of" usually means multiply]

          29% may be written as (29/100) or 0.29 as needed by the problem.

   x = (100/29)($28.9 million)

   x ≅  $99.655 million

   x ≅ $100 million         [rounded

Answer:

820,000

Step-by-step explanation:

2 is lower than 5 so round down to 20

Pls Brainliest If Helps

Answer:

820,000

Step-by-step explanation:

The 10,000 digit is the 2 on the left.

All digits to the right of the left 2 become zero.

820,000

The first digit that is dropped is the right 2.

Since it is not 5 or more, the 2 that is kept does not go up to 3.

Answer: 820,000

Answer:

The dragonfly is 4.5 feet per second faster.

Step-by-step explanation:

Step-by-step explanation:

Given is the 30°x60°x90° right triangle.

The ratio of its sides is:

Find the missing sides using the ratio above:

Answer:

[tex]\sf x = 4\sqrt{6}[/tex]   and   [tex]\sf y = 6\sqrt{2}[/tex]

step-by-step explanation:

given:

using tan rule:

[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

[tex]\sf tan(60)= \dfrac{y}{2\sqrt{6} }[/tex]

[tex]\sf tan(60)*{2\sqrt{6}= y[/tex]

[tex]\sf y = 6\sqrt{2}[/tex]

using cosine rule:

[tex]\sf cos(x)= \dfrac{adjacent}{hypotensue}[/tex]

[tex]\sf cos(60)= \dfrac{2\sqrt{6} }{x}[/tex]

[tex]\sf x= \dfrac{2\sqrt{6} }{cos(60)}[/tex]

[tex]\sf x = 4\sqrt{6}[/tex]

Answer:

153.86 cm² and 43.96

Step-by-step explanation:

The formula to find the area of a circle is A = πr²
A = 3.14(7)²
A = 3.14(49)
A = 153.86
To find the circumference, use the formula C = π2r
C = 3.14*2*7
C = 43.96
The area of the circle is 153.86 cm² and the circumference of the circle is 43.96.
Hope this helps :)

Answer:

If this is the problem

g(t) = t2 - 3t and h(t) = 3t - 4

g[ h(t) ] = (3t-4)2 - 3 (3t-4)

g[ h(t) ] = 9t2 - 24t + 16 - 9t + 12

g[ h(t) ] = 9t2 - 33t + 28

Answer:

the number is -3

Step-by-step explanation:

3(x + 5) = 6

let x be the number anyways thooo

we distribute 3

3x + 15 = 6

then solve

3x = 6 - 15

3x = -9

x = -3

Answer:

The answer is 10 mph

Step-by-step explanation:

Divide 100 by 10

Answer:

53.38

Step-by-step explanation:

First, find the circumference of the whole circle.

C=2pir

C=2(3.14)(17)

C=106.76

Then, divide by 2 because a semi-circle is half of a circle.

106.76/2 = 53.38

Therefore, the circumference, or the perimeter, of the semicircle is 53.38

Answer:

f(x)=-4x+3

Step-by-step explanation:

Assuming you're talking about f(x)=mx+b. b is y intercept. So f(x)=mx+3. You substitute m for -4, as you said, and we get f(x)=-4x+3

Answer:

70.02ft≈70ft

Step-by-step explanation:

Here,

∠ABC=35°

BC=100ft

AC=?

Now,

[tex]tanB=\frac{AC}{BC} \\\\[/tex][tex]tanB=\frac{AC}{BC} \\\\tan35=\frac{AC}{100ft} \\\\0.7002=\frac{AC}{100ft} \\\\100ft*0.7002=AC\\\\AC=70.02ft[/tex]

Because tan=p/b

[tex]\\ \rm\rightarrowtail cot35=\dfrac{Base}{Perpendicular}[/tex]

[tex]\\ \rm\rightarrowtail cot35=\dfrac{BC}{AC}[/tex]

[tex]\\ \rm\rightarrowtail cot35=\dfrac{100}{AC}[/tex]

[tex]\\ \rm\rightarrowtail AC=\dfrac{100}{1.43}[/tex]

[tex]\\ \rm\rightarrowtail AC=69.93ft[/tex]

Answer:

27

Step-by-step explanation:

4/15×100 =80/3 =26.6

Rounded to the nearest whole number is 27

Answer:

Answer is 300

Step-by-step explanation:

because 51.25x6=307.5 and the closest estimate is 300.

Answer:

-3 is the slope

2 is the y intercept

Step-by-step explanation:

always

Answer:

A) t = 0.25 s

B) h = 25 m

Step-by-step explanation:

Given equation:  [tex]h(t) = -16t^2 + vt + s[/tex]

where:

A)  To find the value of t when h is at its maximum, differentiate the equation with respect to t:

[tex]\implies h'(t)=-32t+v[/tex]

Substitute given value of v:

[tex]\implies h'(t)=-32t+8[/tex]

Set to zero and solve for t:

[tex]\implies -32t+8=0[/tex]

[tex]\implies t=0.25 \textsf{s}[/tex]

B)  Substitute the found value for t into the equation and solve for h:

[tex]\implies h(0.25) = -16(0.25)^2 + 8(0.25) + 24[/tex]

[tex]\implies h(0.25) = -1 + 2 + 24[/tex]

[tex]\implies h(0.25) =25 \textsf{ m}[/tex]