Find the missing side lengths. Leave your answers as radicals in simplest form. Show your work to support your answer ​

Find The Missing Side Lengths. Leave Your Answers As Radicals In Simplest Form. Show Your Work To Support

Answers

Answer 1

Answer

x=2 and y=22

Step-by-step explanation:

[tex] \sin( \alpha ) = \frac{2 \sqrt{2} }{x } \\ x = \frac{2 \sqrt{2} }{ \sin(45) } \\ x = 4 \\ {x}^{2} = {y}^{2} + 2 \sqrt{2} \\ {4}^{2} = {y}^{2} + (2 \sqrt{2 \: )}^{2} \\ 16 = {y}^{2} + 8 \\ 16 - 8 = {y}^{2} \\ y = \sqrt{8} \\ y = 2 \sqrt{2} [/tex]


Related Questions

[tex]\sqrt{25x^{2} } =-2x\sqrt{100x}[/tex]

Answers

I assume x is a real variable. Note that √(25x²) is a non-negative number for any real x.

Meanwhile, we observe that for -2x √(100x),

• it's only defined for x ≥ 0, and

• if x ≥ 0, then multiplying √(100x) by -2x makes the overall product non-positive, i.e. -2x √(100x) ≤ 0

In short, this eliminates any non-zero real solution, and we're left with x = 0.

We can arrive at the same result by working with the equation:

√(25x²) + 2x √(100x) = 0

5|x| + 20 x√x = 0

since √(x²) = |x| for all x.

Recall that |x| = x if x ≥ 0, and |x| = -x if x < 0.

• If x ≥ 0, the equation reduces to

5x + 20 x√x = 0

5x (1 + 4√x) = 0

5x = 0   or   1 + 4√x = 0

x = 0   or   √x = -1/4

But √x ≥ 0 for x ≥ 0, so we throw out the second solution.

• If x < 0, the equation instead reduces to

-5x + 20 x√x = 0

-5x (1 - 4√x) = 0

-5x = 0   or   1 - 4√x = 0

x = 0   or   √x = 1/4

x = 0   or   x = 1/16

But we assumed x is negative, so we throw out both choices and get no solution for this case.

27/54 simplified to its simplest form need answer ASAP

Answers

Answer:

1/2

Step-by-step explanation:

Divide both the numerator and denominator

27/54 ÷ 27/27

Reduced fraction:

1/2

Therefore, 27/54 simplified to lowest terms is 1/2.

Answer:


27/54 =1/2


Step-by-step explanation:


27 and 54 are both multiples of 9, so 9 is a common divisordivisor.


Divide numerator and denominator by 91:


(27/9) / (54/9) = 3/6


Now 3 and 6 are both multiples of 3, so 3 is a common divisor


Divide numerator and denominator by 3:


(3/3) / (6/3) = 1/2


1 and 2 has no common divisors so 1/2 is the final answer


Which of the following could be the equation of the function below? on a coordinate plane, a curve crosses the y-axis at y = negative 3. it has a maximum at y = 1 and a minimum at y = negative 3. it goes through 1 cycle at pi. y = negative 2 cosine (4 (x pi)) minus 1 y = 2 cosine (x pi) 1 y = negative 2 cosine (2 (x pi)) minus 1 y = 2 cosine (4 (x pi)) 2

Answers

The equation of the function which is graphed on the right is specified by: Option C: y = -2cos(2(x + π)) -1

How to find the function which was used to make graph?

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

What are some properties of a cosine function?

Suppose that we've got:

[tex]f(x) = a \cos (bx - c) + d[/tex]

Then, this function has:

Period = [tex]\dfrac{2\pi}{b}[/tex]Phase shift = [tex]\dfrac{c}{b}[/tex]Maximum value: a + dMinimum value: -a + d

For this case, we're given that:

The function crosses y-axis at  y = -3The maximum value of the function is y = 1The minimum value of the funciton is y = -3It goes through 1 cycle at pi.

All the options are of cosine function, so let the function be:

[tex]f(x) = a \cos (bx - c) + d[/tex]

Then, as per the given data about max and min. values, we get:

d+a=1

d-a = -3

Adding both equations,

2d = -2 => d = -1

Thus, -1+a = 1, and therefore a = 2

Since it goes through 1 cycle at pi, so its period = π

Thus, we get:

[tex]Period = \pi = 2\pi/b\\\\or\\\\b = 2[/tex]

Now since there is only third option which has d= -1, and b =2 so assuming at least one option was true, we get the needed function as described by the option C.

Thus, the equation of the function which is graphed on the right is specified by: Option C: y = -2cos(2(x + π)) -1

Learn more about amplitude and period of a cosine function here:

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Answer:

C) y = -2cos(2(x + π)) -1

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Using the information in the Venn diagram below, how many people play basketball? A. 5 B. 9 C. 12 D. 17 4 D. 5

Answers

Answer:

52 people

Step-by-step explanation:

add 5 9 12 17 4 5 and youlk get 52 people.

Answer:

its 5

Step-by-step explanation:

22 23
22 - 26
m27 +mZ8 = 180°
mZ3 +mZ5 = 90°

Answers

Answer:

i believe it would be 22-26 but i am not sure

By visual inspection,determine the best fitting regression model for the scatter plot

Answers

Answer:

The answer is quadratic

Step-by-step explanation:

I just took the quiz and got this question correct, also it cant be linear because if it were linear, it would be more of a straight shape, but this is more of a u shape, if it were exponential, it would look more drawn out to the sides i believe, and if it were no pattern, there would just be dot points threwn at random spots. Therefore, the answer is Quadratic.

HELP PLS I WILL MARK BRAINLIEST

Answers

Answer:

I believe the answer is 112.75 in2

Step-by-step explanation:

Friend is smart

Simplify this equation...

Answers

(It would be option 1) x - 2/2

calculate the equation of straight line passing through (5,-10) and making equal but opposite intercept.

Answers

The equation of the straight line passing through (5,-10) and making equal but opposite intercept is y = -4x + 10.

To solve the problem, we need to know the equation of a straight line

Equation of a straight line in slope intercept form

The equation of a straight line in slope intercept form is given by y = mx + c where

m = slope and c = y- intercept.

Given that the straight line passes through the point (5, -10) and making equal but opposite intercept, its intercept is at (-5, 10)

The gradient of the line

We need to find the gradient, m by making m subject of the formula in y.

So, m = (y - c)/x

With

x = 5, y = -10 and c = 10, we have

m = (y - c)/x

m = (-10 - 10)/5

m = -20/5

m = -4

Substiting m and c into y, we have

y = mx + c

y = -4x + 10

So, the equation of the straight line passing through (5,-10) and making equal but opposite intercept is y = -4x + 10.

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The circumference of a round mirror is 32 inches. What is the radius of the mirror?

Answers

Answer:

r=C/2pi

r= 32/2pi. pi=3.1415. 2pi= 2×3.1415 =6.2831

given that C= 32, therefore r=32/6.2831 =5.0930.

Are solar systems unique to just our sun? Explain.

Answers

Our solar system is unique in the sense that no other solar systems with planets like ours are known. the sun is a star but there are many stars in the universe. our sun is the closet one in earth. and its the only one in our solar system.

On a test that has a normal distribution, a score of 25 falls three standard deviations
below the mean, and a score of 35 falls two standard deviations above the mean.
Determine the mean of this test.

Answers

Answer: 31

Step-by-step explanation: 25 and 35 are 5 standard deviations apart

35-25/5 =10/15 =2

Add/ Subtract 2 each time

im going to a behavior health hospital (mental hospital) in a few hours but they cant fint a bed so ill be at the reg hospital for a while wish me luck yall :)

Answers

Answer:

good luck bestie

sending best of luck~♡

i think this should be pretty easy, just not for me lol. please help!

Answers

Answer:

(1) False. (2) True. (3) True. (4) True. (5) True

Step-by-step explanation:

This is really easy :)

how do you graph y=4-4x

Answers

Answer:

Break it into 2 parts.

Explanation:

Y=4x

Firstly draw the graph of y=4x , then light it up the y-axis by 4 units.

Or you can do it by plotting points; say x=0, x=1, x=2 and so on.

Step-by-step explanation:

find the value of x when 6-2x= 5x-9x+18

Answers

Answer:

x = 6

Step-by-step explanation:

6 - 2x = (5-9)x +18

6 - 2x = -4x +18

2x = 12

x = 6

Choose the values of a and b that represent the factored form of w2 – 11w 18. w2 – 11w 18 = (w – a)(w – b) a = b =

Answers

The values of a and b in w^2 - 11w + 18 = (w - a)(w - b) is 2 and 9.

We have given the polynomial w^2 - 11w + 18

First  to find the factor form and then

To determine the value of a and b

What is the Polynomial

The Polynomial is an expression that involves only the operations of addition, subtraction, and multiplication of variables.

The given the polynomial is w^2- 11w + 18

= w^2 - 9w - 2w + 18

= w(w - 9) -2(w - 9)

= (w - 2)(w - 9)

This implies that a=2 and b=9

Therefore, the values of a and b in w^2 - 11w + 18 = (w - a)(w - b) is 2 and 9

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Answer:

a=2 b=9

Step-by-step explanation:

What is the answer? Please

NO LINKS!!!

Answers

Answer:

3 If they all have to be different

Step-by-step explanation:

small

medium

large

medium

large

small

large

medium

small

Find the circumference of the circle
12m

Answers

Answer:

The answer would be 75.4 (rounded to nearest 10th)

Step-by-step explanation:

Step 1. Multiply the radius (12) by 2 to get 24.
Step 2. Do 24π
Step 3. Get the answer of 75.3982236862
Step 4. Round to 75.4
Hope this helps! :)

Answer:

C ≈ 75.4 m

Step-by-step explanation:

using the formula C = 2πr , then

C = 2π × 12 = 24π ≈ 75.4 m ( to 1 dec. place )

Look at the two stacks of coins. each stack contains the same type and number of coins. make a conjecture. how do the stacks compare? check all that apply. the two stacks are the same height. the area of a coin face in one stack is the same as the area of a coin face that lies in the same horizontal plane. the two stacks have equal volume.

Answers

The correct option is  D  they will have the same volume.

What is volume?

In math, volume can be defined as the 3-dimensional space enclosed by a boundary or occupied by an object.

They both have the same height, assuming that each coin has same volume, then how can coins in 1 stack have different volume than coins in another stack no matter how you stack them.

Like two cylinders with same base area and height have same volume. Like wise rectangle and parallelogram with same base and same perpendicular height having same area.

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Answer:

DDDDDDDDD is your Answer

Step-by-step explanation:

25 points
Find Y. Assume that segments that appear to be tangent are tangent. Around to the nearest tenth if necessary.

Answers

Answer:

y ≈ 12.6

Step-by-step explanation:

the angle between a tangent and the radius of the circle at the point of contact is 90°

then the triangle with y as a leg is right.

using Pythagoras' identity in the right triangle.

y² + 39² = 41²

y² + 1521 = 1681 ( subtract 1521 from both sides )

y² = 160 ( take square root of both sides )

y = [tex]\sqrt{160}[/tex] ≈ 12.6 ( to the nearest tenth )

What the location of point A?
Will mark brainlyest!!

Answers

Answer:

C) (-5,8)

Step-by-step explanation:

The format for point is (x,y)

X is the horzontal (left or right)

Y is verticle (Up or down)

Remember that left and down are negatives

So you move 5 times to the left, thus -5

You move 8 upwards, thus 8

The answer is (-5,8)

Hope this helps!

PLEASE ANSWER ASAP AND LMK HOW U GOT UR ANSWER ‼️​

Answers

Answer:

π/4 radiansπ/4 radians

Step-by-step explanation:

The relationship between angle measures in degrees and angle measures in radians does not depend on the radius of the circle. It is always ...

  180° = π radians

__

Then an angle of 45° will be ...

  45° × (π radians)/(180°) = π/4 radians

This value is the same for a radius of 5 cm or of 1 cm.

_____

Additional comment

We have made the conversion from degrees to radians using a conversion factor that has radians in the numerator and degrees in the denominator. When we mutiply by this factor, the units of degrees cancel, leaving units of radians. We use a conversion factor that has the same angle value in numerator and denominator, so it doesn't change the angle we're multiplying. It only changes the units.

The same relation can be expressed as a proportion:

  (π radians)/180° = (x radians)/(45°)

When you multiply this equation by 45° on both sides, you get the equation we used above.

Inali ate 3/8 of a pizza. His friend ate 1/4 of the
pizza. How much did they eat all together.

Answers

Answer:

5/8

Step-by-Step Explanation:

Inali - ate 3/8

His Friend - ate 1/4, but you need it with denominator of 8 so you can do 1/4=x/8 and x=2

Now, you have to add 3/8 plus 2/8 and you get 5/8.

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS*URGENT*During halftime of a ​game, a sling shot launches​ T-shirts at the crowd. A​ T-shirt is launched from a height of 6 feet with an initial upward velocity of 72 feet per second. The​ T-shirt is caught 38 feet above the field.
How long will it take the​ T-shirt to reach its maximum​ height?
What is the maximum​ height?
What is the range of the function that models the height of the​ T-shirt over​ time?

Answers

Answer:

y = 38 + 72t - 16t^2

Step-by-step explanation:

So, solve for t when y=48.

The max height is of course, when t = 64/32 = 2.

What is 527 x 36 with an area model???

Answers

Answer:

18972

Step-by-step explanation:

With an area model, the model will have dimensions of 576 and 36. The product of the units will be within the model.

The value of the equation is A = 18,972

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be p = 527

Let the second number be q = 36

Now , the equation will be

A = p x q

Substituting the values in the equation , we get

A = 527 x 36

On simplifying the equation , we get

A = 18,972

Hence , the equation is A = 18,972

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Question 2 You have to make a model of the Great Pyramid at Giza, painted to look as close to identical as possible. Which term best describes the part that you must cover?
Volume
Area
Surface Area
Lateral Area​

Answers

The term that describes the part of the model of the Great Pyramid to be painted is called the: lateral area.

What is the Lateral Area of a Pyramid?

The lateral area of any pyramid is the area covered by the slant lateral faces of the pyramid. This excludes the base area of the pyramid.

The best term that describes the part of the Great Pyramid to be covered is therefore known as: lateral area.

Learn more about lateral area on:

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Quadrilateral JKLM is inscribed in circle R.
68
What is m L?
Enter your answer in the box.
105
XK
•R
L
M

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

As we know, opposite sides of a cyclic quadrilateral add up to 180°, let's use this property to find Angle L

[tex]\qquad \tt \dashrightarrow \: \angle L + 68 = 180[/tex]

[tex]\qquad \tt \dashrightarrow \: \angle L = 180 - 68[/tex]

[tex]\qquad \tt \dashrightarrow \: \angle L = 112 \degree[/tex]

So, measure of Angle L is 112°

Help me pls I don't understand this pls help me! :I

A water tank measures 5 in. by 10 in. by 7 in. If each dimension of the tank were doubled, approximately how many more gallons can the larger tank hold? (Hint : There are 231 cubic inches in 1 gallon.)

A: The large tank holds about 2,450 gal more water than the small tank.
B: The large tank holds about 10 gal more water than the small tank.
C: The large tank holds about 22 gal more water than the small tank.
D: The large tank holds about 16 gal more water than the small tank.

Answers

Answer:

10

Step-by-step explanation:

you should go by this; 5x10x7=350 which can round up to two gallons. then you do 350 x 2 to the third power, which should be 350x8=2800. which 2800 rounds to 12 gallons, so then you do 12-2=10. So 10 would be the answer! Hope this helped!!

Which is different?
How much does it take to fill the cylinder?
What is the capacity of the cylinder?
How much does it take to cover the cylinder?
How much does the cylinder contain?

Answers

Answer:

Step-by-step explanation:

Remark

A B and D refer to what the cylinder can contain. They all refer to the hollowed out part of the cylinder.

C is the only one that talks about what you need to cover the cylinder with (say) paper or cloth. C is external to the surface of the cylinder.

Answer: C

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