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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Find the volume of the cylinder.
Either enter an exact answer in terms of 7 or use 3.14 for A.
الا
5
units3
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?
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
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?
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
Martha ordered 3 cheesecakes. She will cut each cake into fourths. How many pieces of cake will she have?
Hello, can you help me please
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
I need an answer ASAP!!
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!
Find the measure of the indicated arc
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°.
Name the quadrilateral that has a right angle and four congruent sides.
A. Parallelogram
B. Rectangle
C. Rhombus
D. Square
Answer:
D. Square
It is the only one with all right angles and sides the same length
giving 5 stars to right person
Answer:
12/40
Step-by-step explanation:
12/40=3/10
Please answer with explanation
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
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?
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 .
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?
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
Is anyone able to help me out with this???
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
The question is in the photo.
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)
please help me please will give brainliest
Answer:
it's the 3rd option (eeeexxxxttteeennndddeeerrr)
Answer:
the correct answer is c i hoped this helped
6) Determine the dimensions of a rectangle if:
A = x2 – 19x – 90
Answer:
Step-by-step explanation:
Determine the dimensions of a rectangle if:
A = x2 – 19x – 90
HELP PLSSSSSSSSSSSSS
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 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
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:
21 = -3c + 7 -5c -2
i need help with this multi step equation question
Answer:
c=-2
Step-by-step explanation:
How many ten thousand are there in 50,000
Answer:
5 ten thousands
Step-by-step explanation:
Ten thousands: 10,000
So...
50,000/10,000=5
5 ten thousands
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?
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
Can someone please help me with math.
Subtracting fractions with unlike denominators
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]
9. The gradient of the curve y=kx⁴ at the point x = 2 is 128. Find the value of k.
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
what is 3x-8-8x=42 answer nowwww
Answer:
x= -10
Step-by-step explanation:
Factor completely:
3x2 - 75
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.
One angle of a right triangle measures 8º. What is the measure of the other acute angle?
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
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)
2x + 46 + 3x - 6
I forgot how to do math
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?
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.