It reflects off the mirror and strikes a wall 9.5m away at point P. By what distance does the laser spot on the wall move if the mirror is rotated by 10??

Answers

Answer 1

As per the tangent formula, the distance does the laser spot on the wall move if the mirror is rotated by 10 is 2.9m

While we looking into the given question we have identified the following values,

Previous distance = 9.5

And the angle = 30 degrees

Rotated angle = 10 degrees

And the distance is considered as x.

Then as per the tangent formula, it can be written like the following,

=> tan 30/9.5 = tan 10/x

When we apply the tangent value, then we get,

=> 0.5773/9.5 = 0.1763/x

When we perform the cross multiplication, then we get,

=> 0.5773x = 9.5 x 0.1763

=> 0.5773x = 1.6749

Then the value of x is obtained as,

=> x = 1.6749/0.5773

=> x = 2.9012

To know more about Tangent here.

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Related Questions

I need an answer ASAP!!

Answers

Answer:

CD=13

Step-by-step explanation:

The figure is symmetrical, as evidenced by the angle measures being marked at the top.

Answer:

13

Step-by-step explanation:

If you look up at the top, you can see that there is two angles that are the same, so that must mean that it can be folded down perfectly.

hope this helps!

giving 5 stars to right person

Answers

Answer:

12/40

Step-by-step explanation:

12/40=3/10

Martha ordered 3 cheesecakes. She will cut each cake into fourths. How many pieces of cake will she have?

Answers

12 because there are 3 cakes and cutting each into 4..... 3x4=12

21 = -3c + 7 -5c -2

i need help with this multi step equation question​

Answers

Answer:

c=-2

Step-by-step explanation:

Name the quadrilateral that has a right angle and four congruent sides.
A. Parallelogram
B. Rectangle
C. Rhombus
D. Square

Answers

Answer:

D. Square

It is the only one with all right angles and sides the same length

Can someone please help me with math.

Answers

9 is c. 10 is d. And 11 is c.

Subtracting fractions with unlike denominators

Answers

your awnser will be 1 3/4

Answer:

[tex]\frac{9}{4} - \frac{5}{10} = 1\frac{3}{4}[/tex]

Step-by-step explanation:

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

LCD(9/4, 5/10) = 20

[tex](\frac{9}{4} * \frac{5}{5} ) - (\frac{5}{10} * \frac{2}{2} ) = ?[/tex]

Complete the multiplication and the equation becomes

[tex]\frac{45}{20} - \frac{10}{20}[/tex]

The two fractions now have like denominators so you can subtract the numerators.

Then:

[tex]\frac{45 - 10}{20} = \frac{35}{20}[/tex]

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 35 and 20 using

GCF(35,20) = 5

[tex]\frac{35 / 5 }{20 / 5} = \frac{7}{4}[/tex]

The fraction

[tex]\frac{7}{4}[/tex]

is the same as

7 ÷ 4

Therefore:

[tex]\frac{9}{4} - \frac{5}{10} = 1\frac{3}{4}[/tex]

Apply the fractions formula for subtraction, to

[tex]\frac{9}{4} - \frac{5}{10}[/tex]

and solve

[tex]\frac{(9 * 10)- (5* 4) }{4 * 10}[/tex]

[tex]= \frac{90-20}{40}[/tex]

[tex]= \frac{70}{40}[/tex]

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(70,40) = 10

[tex]\frac{70/ 10 }{40 / 10} = \frac{7}{4}[/tex]

Convert to a mixed number using

long division for 7 ÷ 4 = 1R3, so

[tex]\frac{7}{4} = 1\frac{3}{4}[/tex]

Therefore:

[tex]\frac{9}{4} - \frac{5}{10} = 1\frac{3}{4}[/tex]

Please answer with explanation

Answers

Answer:

2000 linear feet

becouse 21-19=2 so thats his profit per linear foot

and it costs him 4000 so to get that amount he has to sell 2000 because 2000×2=4000

9. The gradient of the curve y=kx⁴ at the point x = 2 is 128. Find the value of k.​

Answers

Answer:

k = 4

Step-by-step explanation:

Here, we want to find the value of k

Mathematically, the gradient of a curve is same as the first derivative

so the first derivative here is;

dy/dx = 4kx^3

Now, the value of x here is 2 while the value of y is 128

Substituting these values;

128 = 4k(2)^3

128 = 32k

k = 128/32

k = 4

The vertex of this parabola is at (-2, 1). Which of the following could be its
equation?
(-2.1)
5
O A. x = 4(y + 1)2. 2
O B. y = 4(x - 2)2 +1
O C. x = 4(y - 1)2 - 2
O D. y = 4(x - 2)2 - 1

Answers

Answer:

y = 4(x + 2)^2 + 1   (Answer B)

Step-by-step explanation:

Here we're given h = -2 and k = 1.  Right away we know that the vertex form of the pertinent equation is

y = 4(x + 2)^2 + 1   (Answer B)

The question is in the photo.

Answers

Answer and Step-by-step explanation:

[tex]\frac{9}{10}[/tex] ÷ [tex]\frac{4}{10}[/tex]

([tex]\frac{2}{5}[/tex] × [tex]\frac{2}{2} = \frac{4}{10}[/tex])

[tex]\frac{9}{10}[/tex] ÷ [tex]\frac{4}{10}[/tex] = [tex]\frac{90}{40} = \frac{9}{4} = 2.25[/tex] - This is the answer.

#teamtrees #PAW (Plant And Water)

Find the volume of the cylinder.
Either enter an exact answer in terms of 7 or use 3.14 for A.
الا
5
units3

Answers

V= area of the base • height
V= pi• radius^2 •height
V= (3.14• 5^2) • 3
(3.14•25)•3
=235.5 units cubed


One angle of a right triangle measures 8º. What is the measure of the other acute angle?

Answers

82 degrees. Cause 180- (8+90)

​ On a certain hot​ summer's day, 335 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $619.2. How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

57

Step-by-step explanation:

Let c represent the number of children ($1.75 each) and a represent the number of adults ( $2.00 each).

We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c

We also know that $1.75 c + $2.00 a = $609.25

By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25

Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25

Subtract $680 from both sides and combine like terms to get - $0.25 c = -

$70.75

Now, divide both sides by -$0.25 to get c = 283, the number of children.

The number of adults is 340 - c or 340 - 283 = 57

Pleas help I swear I’m loosing brain cells

Two coins are flipped. What is
the probability that one will
land on tails and the other coin will land on heads?

Answers

Answer:

the probability is 0.25

Step-by-step explanation:

first flip if head:0.5

second flip after head:0.5 each

first flip if tails:0.5

second flip after tails:0.5 each

0.5 x 0.5 = 0.25

2x + 46 + 3x - 6
I forgot how to do math

Answers

Answer: hope this helps

Step-by-step explanation:

5 (x + 8)

Root:

x = -8

Derivative:

d/dx(2 x + 46 + 3 x - 6) = 5

Indefinite integral:

integral(40 + 5 x) dx = (5 x^2)/2 + 40 x + constant

Answer:

5x-40=0

5x=40

x=40/5

x=8

A farmer sells 8.1 kilograms of apples and pears at the farmer's market. 2 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Answers

The question is incomplete:

A farmer sells 8.1 kilograms of apples and pears at the farmer's market. 2/5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Answer:

She sold 4.86 kg of pears at the farmer's market.

Step-by-step explanation:

With information provided, you know the amount of kilograms of  apples and pears sold and that 2/5 of this weight is apples, so you can find first the number of kilograms of apples sold by multipying 2/5 for 8.1 kilograms:

2/5*8.1=3.24 kg

Now, you can find the kilograms of pears that the farmer sold by subtracting the kilograms of apples sold from the total amount of apples and pears sold:

8.1-3.24=4.86 kg

According to this, the answer is that she sold 4.86 kg of pears at the farmer's market.

what is 3x-8-8x=42 answer nowwww

Answers

Answer:

x= -10

Step-by-step explanation:

The answer is -10

3x-8-8x=42
-5x-8=42
-5x=42+8
-5x=50
X=10

A pizza parlor sells pizza in two sizes, a 16 inch pizza or a 10inch pizza. Which is more pizza, half of the 16-inch pizza or the entire inch pizza?

Topic: arc length and sector area

Answers

Answer:

Therefore the second pizza of 10inch is More

Y>X

Step-by-step explanation:

From the question we are told that:

Diameter of pizzas

Pizza one [tex]D_1=16[/tex]

Pizza two [tex]D_2=10[/tex]

Generally the equation for amount of half of pizza one X is mathematically given by

[tex]X=\frac{1}{2}\pi r^2[/tex]

[tex]X=\frac{1}{2}\pi 8^2[/tex]

[tex]X=100.53inch^2[/tex]

Generally the equation for amount of pizza two Y is mathematically given by

[tex]Y=\pi r^2[/tex]

[tex]Y=\pi 10^2[/tex]

[tex]Y=314.16inch^2[/tex]

Therefore the second pizza of 10inch is More

Y>X

Answer:

26

Step-by-step explanation:

Factor completely:
3x2 - 75

Answers

Answer:

3(x + 5)(x − 5)

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula:

a² − b² = (a + b)

(a − b)  

where  a = x and  b = 5.

3(x + 5)(x − 5)

Or

Search it up for a more detailed answer through Goo gle.

Find the measure of the indicated arc

Answers

Answer:

m(arc WXY) = 224°

Step-by-step explanation:

By inscribed angle theorem,,

"Measure of intercepted arc is double of the inscribed angle"

m(arc WXY) = 2[m(∠YCW)]

Here, arc WXY is the intercepted arc and ∠YCW is the inscribed angle.

By substituting the value of inscribed angle,

m(arc WXY) = 2(112°)

                     = 224°

Therefore, measure of arc WXY is 224°.

A triangular prism has a triangular face with a base of 8.8 meters and a height of 10.7 meters. Its volume is 941.6 cubic meters. What is the length of the triangular prism?

Answers

Answer:

yo wanna know want to know wants I had that problem you do...

The answer is 10 ez

Step-by-step explanation:

10.7*8.8 which is 94.16

and then you divide that by 941.6/94.16=10 so then answer is 10

HELP PLSSSSSSSSSSSSS

Answers

Answer:

x=9

Step-by-step explanation:

Since, these angles are identified as vertical angles, both sides are equal to each other. So, in order to solve this problem, we have to set the equations equal to each other: (7x+3 = 10x-24).

A circle is inscribed in a square with a side length of 144. If a point in the square is chosen at random, what is the probability that the point is inside the circle?

Answers

Given :

A circle is inscribed in a square with a side length of 144.

So, radius of circle, r = 144/2 = 72 units.

To Find :

The probability that the point is inside the circle.

Solution :

Area of circle,

[tex]A_c = \pi r^2\\\\A_c = 3.14 \times 72^2\ units^2\\\\A_c = 16277.76 \ units^2[/tex]

Area of square,

[tex]A_s = (2r)^2\\\\A_s = ( 2 \times 72)^2\ units^2\\\\A_s = 20736\ units^2[/tex]

Now, probability is given by :

[tex]P = \dfrac{A_c}{A_s}\\\\P = \dfrac{16277.76}{20736}\\\\P = 0.785[/tex]

Therefore, the probability that the point is inside the circle is 0.785 .

Shea is storing all of her posters in a box with side lengths that are 30 inches. Shea wants to know the volume of that box. What is the volume of a cube with side lengths that are 30 inches?

Answers

Answer:

27,000 in.3

Step-by-step explanation:

Answer:

its 27,000 I got it right lol thanks to the person ^^^

Step-by-step explanation:

add me on sc whyhate_naya

please help me please will give brainliest ​

Answers

Answer:

it's the 3rd option (eeeexxxxttteeennndddeeerrr)

Answer:

the correct answer is c i hoped this helped

Is anyone able to help me out with this???

Answers

Answer:

x = 24

Step-by-step explanation:

To simplify the work we can use the Pytaghoran theorem in this way:

x^2 + x^2 = (24√2)^2

2x^2 = 24^2 *(√2)^2

2x^2 = 576 * 2

x^2 = 576

x = +/- √576

x = +/- 24

we choose only the positive value because a length can’t be negative

x = 24

How many ten thousand are there in 50,000​

Answers

Answer:

5 ten thousands

Step-by-step explanation:

Ten thousands: 10,000

So...

50,000/10,000=5

5 ten thousands

5 since there are 5 digits I hope this helps!

Hello, can you help me please​

Answers

Step-by-step explanation:

1. C(x) is in vertex form so let write the function out.

[tex]a(x - 1) {}^{2} + b[/tex]

B is our maximum value so b=9.

[tex]a(x - 1) { }^{2} + 9[/tex]

To find a, we know that when x=5 is a root so plug 5 in for x to find a.

[tex]a(5 - 1) {}^{2} + 9 = 0[/tex]

[tex]a(4) {}^{2} + 9 = 0[/tex]

[tex]16a = - 9[/tex]

[tex]a = - \frac{9}{16} [/tex]

2.. Let convert Chelesa function into. standard form.

[tex] \frac{ -9 }{16} (x - 1) {}^{2} + 9[/tex]

[tex] - \frac{9}{16} (x {}^{2} - 2x + 1) + 9[/tex]

[tex] - \frac{9}{16} {x}^{2} + \frac{9}{8} x + \frac{135}{16} [/tex]

Let see which value has the higher constant.

135/16 is more than 8 so Chelsea jumper higher.

3. Set Herritea equation equal to zero.

[tex] - \frac{2}{9} {x }^{2} + 8 = 0[/tex]

[tex] - \frac{2}{9} x {}^{2} = - 8[/tex]

Multiply both sides by the reciprocal of negative 2/9.

[tex] {x}^{2} = - 8 \times - \frac{9}{2} [/tex]

[tex] {x}^{2} = 36[/tex]

[tex]x = 6[/tex]

We talking positive distance so the answer is she has moved 6 units horinzontial.

4. The domain of C is all real numbers and the range is All real numbers that are less than or equal to 9.

The domain of H is all real numbers, the range of H is all real numbers that are less than or equal to 8.

5. That means that the y values are equal when x=3.7

6) Determine the dimensions of a rectangle if:

A = x2 – 19x – 90

Answers

Answer:

Step-by-step explanation:

Determine the dimensions of a rectangle if:

A = x2 – 19x – 90

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