A reflecting telescope contains a mirror shaped like a parabola of revolution. If the mirror is 16 inches across at its opening and is 2 feet deep, where will the light be concentrated?

Answers

Answer 1

Answer:

18

Step-by-step explanation:


Related Questions

8. Is this number correctly written in scientific notation? 6.875 x 10 yes O no​

Answers

Answer:

No

Step-by-step explanation:

I believe you have to approximate or round it off.

that will be 6.9.

Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show
your work.

Answers

Answer:

A= 94°, B = 102°, C = 86°, D = 78°

Step-by-step explanation:

ABCD is a cyclic quadrilateral

It has the property that opposite angles are supplementary: A with C and B with D.

Solve following for x:

x + 6 + x - 2 = 180°2x + 4 = 180°2x = 176°x = 88°

The angles are:

A = 88° + 6° = 94°C = 180° - 94° = 86°D = 88° - 10° = 78°B = 180° - 78° = 102°

How to do surface area- cylinder worksheet

Answers

Answer:

to find surface area of cylinder

A=2πrh+2πr²

Step-by-step explanation:

Suppose John is a 14-year-old boy who weighs 45 kg (100 lbs). John is at the 25thpercentile of weight for his age. Twenty-five percent of 14-year-old boys weigh the same or less than John and 75% weigh more than John. If John’s height is 170 cm (almost 5’7”), he is at the 75thpercentile of his height for age. Based on the informationgiven about John, how would you describe John’s general appearance?

Answers

I’d say John is a pretty skinny boy who doesn’t have too much height on him. he doesn’t appear to have much muscle on him or excess weight.

Sally is at the park standing directly under a kite which is 20 feet overheadSally's dad is flying the kitc and is standing 15 feet from her If both are on level ground, how long is the kite string in feet?

Answers

Answer:

25 feet

Step-by-step explanation:

Given that Sally is at the park standing directly under a kite which is 20 feet overheadSally's dad is flying the kitc and is standing 15 feet from her If both are on level ground, how long is the kite string in feet?

To calculate the length of the kite string, we will apply pythagorean theorem.

Length = sqrt ( 20^2 + 15^2 )

Length = sqrt ( 400 + 225 )

Length = sqrt ( 625 )

Length = 25 feet.

Therefore, the length of the kite string is 25 feet.

PLEASE HELP ME PLEASE PLEASE PLEASE

Answers

Answer:

Step-by-step explanation:

l/100 km   means   liters per 100 Kilometre. How many liters a car need for traveling 100 km.

Km/l  means  liter per km

Which speed below is equivalent to 1/2 miles per hour
A.
3/8 miles per 3/4 hour
B.
5/6 miles per 5/12 hour
C.
1/2 miles per 1/4 hour
D
3/4 miles per 1/2 hour
E
4/5 miles per 4/10 hour​

Answers

Answer:B

Step-by-step explanation:

help please!!
[tex]\text{solve the following equation : }[/tex]
[tex] \sf\tan^{2}(\theta)-(1+\sqrt{3})\tan(\theta)+\sqrt{3} = 0[/tex]

Answers

tan²( θ ) - (1 + √3) tan (θ) + √3 = 0

tan²( θ ) - (tan (θ) + √3 tan (θ)) + √3 = 0

tan²( θ ) - tan (θ) - √3 tan (θ) + √3 = 0

tan( θ ) ( tan (θ) - 1) - √3 ( tan (θ) - 1 ) = 0

( tan( θ ) - 1 ) ( tan( θ ) - √3 ) = 0


tan( θ ) - 1 = 0

θ = π/₄

tan( θ ) - √3 = 0


θ = π/₃


so θ = π/₄ and θ = π/₃

Answer:

[tex] \huge \boxed{ \red{ \boxed{\begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} }}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:trigonometryPEMDASlet's solve:

distribute tan(θ):

=>tan²(θ)-(tan(θ)+√3tan(θ))+√3=0

remove parentheses:

=>tan²(θ)-tan(θ)-√3tan(θ)+√3=0

so this equation is now in standard form i.e ax²+bx+c=0

we can solve by factoring as we solve quadratic equation

factor out tanθ:

=>tan(θ)(tan(θ)-1)-√3tan(θ)+√3=0

factor out -√3:

=>tan(θ)(tan(θ)-1)-√3(tan(θ)-1)=0

group:

=>(tan(θ)-√3)(tan(θ)-1)=0

separate it as two different equation:

[tex] \implies \begin{cases} \tan( \theta) - 1 = 0 \\ \tan( \theta) - \sqrt{3} = 0 \end{cases}[/tex]

add 1 and √3 to both sides to first and second equation respectively:

[tex] \implies \begin{cases} \tan( \theta) - 1 + 1 = 0 + 1 \\ \tan( \theta) - \sqrt{3} + \sqrt{3} = 0 + \sqrt{3} \end{cases} [/tex]

[tex] \implies \begin{cases} \tan( \theta) = 1 \\ \tan( \theta) = \sqrt{3} \end{cases} [/tex]

[tex] \therefore \begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} [/tex]

The Clayton family and the Mercado family are seeing a movie together in the theater. At the concession stand, Mr. Clayton paid $20 for 4 large popcorns and 2 large drinks that his family will share. Mrs. Mercado bought 4 large popcorns and 4 large drinks and paid $28. How much does each item (popcorn & drink) cost?

Answers

Answer:

Popcorn costs 4. Drink costs 2.

Step-by-step explanation:

4x4=16

2x2=4

16+4=20

A frying pan has a radius of 14 cm. What is the circumference of the pan?

Answers

88cm

calculation:
circumference = 2 x pi x radius
2 x pi x 14 = 87.9cm
if you round this you get 88cm circumference

[tex]y= 82(1.045)[/tex]What is the rate of growth Michael expects each week after launching the website?

y=82(1.045)

Answers

Answer: pls help with the answer this is hard

Step-by-step explanation: i really need help!!!

The measure of EFH is twice the measure of GFH. What is the
degree measure of GFH?
I NEED HELP ASAP

Answers

Answer:

30° =  m∠GFH

Step-by-step explanation:

Since ∠EFH and ∠GFH are complementary, the sum of their measures i 90.

Let x = m∠GFH

2x = m∠EFH

m∠GFH + m∠EFH = 90

x + 2x = 90

3x = 90

x = 30° =  m∠GFH

Answer: 30

Step-by-step explanation: qu i z i zz

Jack bought 4 hot dogs and 3 sodas for $15.50. Mack bought 3 hot dogs and 2 sodas for $11.25. Find the cost of each.

Answers

Answer:

Hot dogs: $2.75

Sodas: $1.5

Step-by-step explanation:

Hot dogs = x

Sodas = y

4x + 3y = 15.5

3x + 2y = 11.25

First find the value of the hot dogs by canceling out y:

2(4x + 3y) = 2(15.5)

3(3x + 2y) = 3(11.25)

= 8x + 6y = 31

9x + 6y = 33.75

x = $2.75 (Minus bottom equation from the top to isolate x)

Plug in for x to get y:

3(2.75) + 2y = 11.25

2y = 11.25 - 8.25 (Isolate the y)

2y = 3

y = 3/2, or $1.5

5.5% tax on $20 is $

Answers

Answer: $18.90

Step-by-step explanation:

Answer:

$1.1

Step-by-step explanation:

= 5.5% × $20

= $1.1

Solve the quadratic equation for the solutions.
f(x) = 2x^2 - 6x + 10

Answers

I’m a little rusty but I got 8

The graph below shows a company's profit f(x), in dollars, depending on the price of goods x. in dollars, being sold by the
company:


Part A: What do the x-intercepts and maximum value of the graph represent?

Part B: What are the intervals
where the function is increasing and decreasing, and what do they represent about the sale and
profit?

Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent?

Answers

Answer:

What do the x-intercepts and maximum value of the graph represent? The x-intercepts represent the points at the ground, so with that you have the width of the tunnel at ground level is 120 ft - 0 ft = 120

Step-by-step explanation:

URGET: Inscribed Angles
Find the measure of angle R.

Answers

Answer:

∠ R = 50°

Step-by-step explanation:

The inscribed angle R is half the measure of its intercepted arc QS

QS = 360° - (120 + 140)° = 360° - 260° = 100° , then

∠ R = 0.5 × 100° = 50°

I need help with this question

Answers

Answer:

A

Step-by-step explanation:

B/c

2Square +2square the all over in the radical =2 in the radical 2

i think this is the answer

Determine the values of the variables in the parallelogram below.
5
(m2 - 4m)°
140°
x² + 4x

Answers

Answer:

m = -10, 14 x = 1, -5

Step-by-step explanation:

m^2 - 4m = 140 (in a parallelogram, opposite angles are congruent)

(1)m^2 - 4m - 140 = 0

Objective: Find two numbers that multiply to -140(1 * -140) and add to -4

Numbers: 10, -14

(m + 10)(m - 14) = 0

m + 10 = 0, m - 14 = 0

m = -10, m = 14

x^2 + 4x = 5 (in a parallelogram, opposite sides are equal)

(1)x^2 + 4x - 5 = 0

Objective: Find two numbers that multiply to -5(1 * -5) and add to 4

Numbers: -1, 5

(x - 1)(x + 5) = 0

x - 1 = 0, x + 5 = 0

x = 1, x = -5

What is the exact circumference of the circle?

Answers

Answer:

circumference = 22.2144 or 5π√2

Step-by-step explanation:

the diameter of the circle would be equal to the diagonal of the square.

Using the Pythagorean theorem:

D² = 5² + 5²

D² = 50

D = 7.0711 or 5√2

circumference = πD = 5π√2 = 22.2144

Answer:

diagonal or diameter =√(5²+5²)=5√2unit

therefore radius =5/2√2unit

circumference of circle =2πr=2×π×5/2×√2=5π√2unit

The length of adult King Cobra snakes is normally distributed with µ = 18 feet and σ = 2.1 feet. What is the probability that a randomly selected adult King Cobra snake be over 15.9 feet long? 85.54% 79.08% 15.87% 84.13%

Answers

Answer:

the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%

Step-by-step explanation:

The computation of the probability is shown below":

P(x>15.9) is

[tex]= P (\frac{x - \mu}{\sigma} > \frac{15.9 - 18}{2.1} )\\\\= P (z>-1)\\\\= 0.8413\\\\= 84.13\%[/tex]

Hence, the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%

We simply applied the above formula

Answer:

the probability that a randomly selected adult King Cobra snake be over 15.9 feet long which is 84.13%

Step-by-Step Explanation:

P(X 15.9). Solve for the z-score and then match it with the probability from the area under the normal curve table. Once that is found, take the complement or use symmetry to solve

Note:

Hope this helps you in the future.

Learn More:

https://brainly.com/question/6305087?referrer=searchResults

Evaluate each expression
7 + 9=
43 - 5=

Answers

The answer you just add and subtract
7+9=16
43-5=38
7+9= 16
43-5= 38
Explained: it’s pretty easy lol

What number 10times greater than 0.03

Answers

Answer:

A number that is 10 times greater than 0.03 A number that is 1000 times greater than 3 1 10 the value of 30 3 1 100 of 3 0.03 so the  number that is 10 times greater than is 0.3

but if you want to know they number that 0.03 is ten times greater then  its 0.003

Step-by-step explanation:

Marlon and Brent are each measrueing one of their shoes. Their shoes measure 15 inches in all. Marlon's shoe is 1 inch longer than Brent's shoe. How long is Brent's shoe?

Answers

Answer:

16

Step-by-step explanation:

15 plus 1 equals 16 I hope this helps

At practice, Diego does twice as many push-ups as Noah, and also 40 jumping
jacks. He does
62 exercises in total. The equation 2x + 40 =62 describes this situation. What does
the
variable represent?

Answers

Answer:

1980

Step-by-step explanation:

5x4*x9=1980

Hope this helps :)

Brainliest?

。◕‿‿◕。 ITS PICKACHU  DAY

What is the total surface area of the figure below?
6 cm
7 cm
13.1 cm
359.1
0 275,1
400
317.1

Answers

Answer:

275.1 I'm so sorry if it is wrong dont come at me please

If 12% of the air leaks out of Brian's bicycle tire every day, what percent of the air will be left after 2 days? After a week? Round your percents to 2 decimal places.

Answers

Answer:

77.44%

49.87%

Step-by-step explanation:

If 12% leaks everyday, on the first day 12% would leak, leaving 100 - 125 = 88% of air

on the second day, 12% of 88% would leak = 0.88 x 0.12 = 0.1056

Air left on the second day = 88% - 10.56% = 77.44%

After a week = (100 - 12%)^7 = 49.87%

Can someone help me with this. Will Mark brainliest. Need answer and explanation/work. Thank you!

Answers

Answer:

I hope this helps a little bit.

This is a similar triangle please find the missing length. (?)

Answers

Answer:

33

Step-by-step explanation:

In ΔPQR,

length of side=

77= 7×11

84= 12

Similarly, In ΔFGH

length=

36=3×12

so, the other side= 3×11= 33

Answer:

33

Step-by-step explanation:

[tex]\frac{HG}{FG} =\frac{RQ}{PQ}[/tex], insert given values

[tex]\frac{?}{36}=\frac{77}{84}[/tex], cross multiply

84*?=36*77

84*?=2772, divide both sides by 84 to get ? by itself

?=33

another question of the homework

Answers

Answer:

Jessica's trains travels at a faster speed

Step-by-step explanation:

From the question,

Using the graph,

The total distance distance traveled by Khalid after 2 hours is

d = 280 mi.

S = d/t....................... Equation 1

Where S = Khalid's speed, d = Khalid's distance, t = time.

S = 280/2

S = 140 mph.

From the euqation,

The total distance traveled by Jessica after 2 hours is

y = 150×2

y = 300 mi.

Also Using

S' = d'/t

Where S' = Jessica's speed, d' = Jessica's distance

S' = 300/2

S' = 150 mph.

From the above, Jessica's trains travels at a faster speed

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