An amateur astronomer sets up his telescope in
the center of a circular field. The field is
surrounded by trees 20 m tall. The tripod holding
the telescope pivots 1 m above the ground.

What is the lowest angle of elevation at which the astronomer can observe a star?

Answer:

The missing length would be 6

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

16 marbles take away 8 green ones which is equivalent to ½, u will have 8 marbles left or ½, so to get ¼ youll have to halve 8 to get 4.

There are 18 cameras that will be necessary to cover the entire store, the correct option is D.

A unitary method is a method by which we can find the value of one unit from the value of many units and the value of many units from the value of one unit.

Given

Marina wants to install security cameras in her store, which has dimensions 48 feet by 48 feet.

Each camera can view an area of approximately 128 ft2, with a viewing area shaped like a right triangle.

The distance between grid lines is 4 feet.

From the information given, the area of the store roof will be:

= 48 × 48 =  2304 ft²

The area viewed by the camera = 112.5ft²

The number of cameras that will be necessary to cover the entire store is;

[tex]= \dfrac{2304}{128}\\\\= 18[/tex]

Hence, there are 18 cameras that will be necessary to cover the entire store.

To know more about the unitary method click the link given below.

https://brainly.com/question/9337121

Answer:

There are 18 cameras that will be necessary to cover the entire store. .aka D

Step-by-step explanation:

Edge2023

Answer:

x = 4

Step-by-step explanation:

In this equation, x is being cubed to equal 64. When x is being cubed, it means that x is multiplied by itself 3 times to get 64. Thus, we have to find which number to the power of three = 64.

Therefore, x = 4.

Equation: 3√64 = x

In case you needed it

This so happens to be a perfect cube

Cube = A number raised to the power of 3

1 x 1 x 1 = 1

2 x 2 x 2 = 8

3 x 3 x 3 = 27

4 x 4 x 4 = 64

So therefore, x = 4

Hope this helped you!

Answer:

30%

Step-by-step explanation:

percentage of the course she has ridden = 18/60 ×100

=0.3×100=30 %

Answer:

28(1 + 2t + w)

Step-by-step explanation:

This polynomial can be factored by factoring out 28.

28 + 56t + 28w = 28(1 + 2t + w)

Answer:

Step-by-step explanation:

Mean=((4+10+3+6+9+10+a)/7)=7

=>42+a=49

=>a=7Mean=((4+10+3+6+9+10+a)/7)=7

=>42+a=49

=>a=7

Answer:

a = 7

Step-by-step explanation:

Given:

7 is mean of 10,3,4,a,6,9,10

To Find:

Value of a

Solve:

Mean → [tex]\frac{(4+10+3+6+9+10+a)}{7}=7[/tex]

⇒ 42+a=49

Subtract 42 from both sides

x + 42 - 42 = 49 - 42

Simplify

⇒ a=7  

~Learn with Lenvy~

Answer:

155

Step-by-step explanation:

Answer:

Diameter: Circumference

Step-by-step explanation:

Because this is Pi, which is the same for any circle.

Answer:

c. $13. 43

Step-by-step explanation:

Here's the simple interest formula: Interest = P x R x N. P = Principal amount (the beginning balance). R = Interest rate (usually per year, expressed as a decimal). N = Number of time periods (generally one-year time periods).

If the population doubles every 42 years then the population will be after 168 years from now, 7,498,000

An exponential function is a mathematical function which we write as a

f(x) = aˣ, where a is constant and x is variable term. The most commonly used exponential function is eˣ , where e is constant having value 2.7182

We can use exponential growth:

If the population doubles every 42 years, the population after t years can be modeled as:

P = 467,500 x 2^(t/42)

where P is the population after t years and 467,500 is the current population.

To find the population 168 years from now, we can plug in t = 168:

P = 467,500 x 2^(168/42)

  = 467,500 x 2⁴

  = 467,500 x 16

  = 7,498,000

So, the population of the city 168 years from now is approximately 7,498,000.

To know more about exponential function check:

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#SPJ5

Step-by-step explanation:

if I understand correctly, then we are mixing 7 cm³ of liquid A with 125 cm³ of liquid B to a liquid C.

A has a density of 1.42 g/cm³.

B has a density of x g/cm³.

the resulting C has a density of 1.05 g/cm³.

the first thing we see is the quantity of C :

C = A + B = 7 + 125 = 132 cm³

what "comes in" must also "come out" again.

there is no mentioning of a chemical reaction, that might cause a change of volume or mass of the mixture.

so, the whole is exactly the sum of its ingredients.

now about mass and density :

as also the mass (g) of the resulting C must be the same as the sum of the masses of A and B, we multiply the density by the quantity of every liquid to get the mass (g). and that is how we get then the missing density of B :

7×1.42 + 125x = 1.05×(7+125)

9.94 + 125x = 1.05×132 = 138.6

125x = 128.66

x = 1.02928 ≈ 1.03 g/cm³

Answer:

7

Step-by-step explanation:

[tex]f(x) = x^{2} + 6[/tex]

[tex]f(-1) = (-1)^{2} + 6\\f(-1) = 1 + 6\\f(-1) = 7[/tex]

Answer:

4x-3y=-6

Step-by-step explanation:

Answer:

(x + 4)

Step-by-step explanation:

5x³ + 40x² + 80x, x^4 - 256

5x ( x² + 8x + 16)

5x (x + 4) (x + 4)

x^4 - 256

a² - b² = (a + b) (a - b)

x² - 4² = (x + 4) (x - 4)

(x² + 16) (x + 4) (x - 4)

I hope this helps!

Answer:

ten times I hope I'm right

Step-by-step explanation:

3 × 100 = 300

3 × 10 = 30

sense 3 is what is being talked about, 3 in the 300 is 100 times and 3 in 30 is 10 times.

100 is 10 times 10

10 × 10 = 100

value is the total

how many times greater is the total of the 3 in both numbers

3 in 300 is 10 times the 3 in 30

hope this helps

Answer:

Step-by-step explanation:

Givens

arc length DF = 30

pi = 3.14

Comment

The problem is that it looks to me like you have marked DF = 30. That's not what is given. What you are given is a part of the circumference is equal to 30.

Solution

The formula you should be using 100/360 * 2 * pi * r You should be solving for r.

30 = 100/360 * 2 * pi * r                 Multiply both sides by 360

30*360 = 100 * 2 * pi * r                Combine left and right

10800 = 200* 3.14 * r

10800 = 628 * r                              Switch Divide both sides by 628

628 * r/ 628 = 10800 / 628

r = 17.197

Answer

Area of the circle = pi*r^2

Area of the circle = 3.14 * 17.197^2

Area of the circle = 928.66 m^2

Answer:

5y + 25

Step-by-step explanation:

You simply multiple everything inside by the outside

y x 5

5 x 5

giving you 5y + 25

Answer:

3h+4.50=15

We know that she skates for 3 hours, but we don't know the cost per hour so is the "h". He pays a start up $4.50 for the ice skates. And he spend $15 in total for ice skating.

Hopefully that helps. Have a great night! Or day!

Answer:

y+3=-(x+5)5

y+3=-5x-25

y+3+5x+25=0

y+5x+28=0

Answer:

second nap,second nap

Step-by-step explanation:

just took it on plato and got 100%

Answer:

4,652,352

Step-by-step explanation:

Plates of shrimp prepared = 48,462
No. of shrimps in each plate = 96
No. of shrimps in total = 48,462 x 96
                                     = 4,652,352

Answer: 1st; (-5, 1)

2nd;(-3, 1)

I’m pretty sure this is it, I’ve done questions like this for a while now, I think I got it right, sorry if I didn’t I tried my best.

Answer:

[tex] \\black{ \rule{1pt}{900000pt}} \

[/tex][tex]

Answer:

8.4

Step-by-step explanation:

42/5 = 8.4

Each value is multiplied by 8.4.

Have an amazing day!

PLEASE RATE!

Answer:

3/13

Step-by-step explanation:

number of balloons that are green AND shaped like a dog (3) over the TOTAL number of balloons (13)

Answer:

9

Step-by-step explanation:

Follow the order of operations:

Given expression:  6 ÷ 2(1 + 2)

Carry out the operation inside the parentheses first:

⇒ 6 ÷ 2(3)

⇒ 6 ÷ 2 × 3

Now multiply/divide by going left to right:

⇒ 3 × 3 = 9

Solution:

To solve this problem, we will need to use the "BODMAS".

Solving the expression:

[tex]\bullet \ \ 6 \div 2(1 + 2)[/tex]

First, simplify the expression inside the brackets.

[tex]\bullet \rightarrow 6 \div 2(3) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\ex\text{Bracket addition}][/tex]

Now, 2(3) can also be written as 2 × 3, as 2(3) and 2 × 3 are equivalent.

[tex]\bullet \rightarrow 6 \div 2 \times 3[/tex]

According to the BODMAS, division first.

[tex]\bullet \rightarrow 3 \times 3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\ex\text{Division}][/tex]

According to the BODMAS, multiplication next.

[tex]\bullet \rightarrow \boxed{\bold{9}} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\tex\text{Multiplication}][/tex]

Thus, the solution to 6 ÷ 2(1 + 2) is 9.

Answer:

21 centimeters

Step-by-step explanation:

40 millimeters is 4 centimeters and 25-4 is 21.

Side Note: I used to have to do math iready but im in algebra now so not anymore.

Answer:

the answer is 15

Step-by-step explanation