Find the value of the variable leave answer in simplest radical form

Find The Value Of The Variable Leave Answer In Simplest Radical Form

Answers

Answer 1

X is 7 and y is 7 square root of 3.

Answer 2

Answer:

x = 7 and y = 7√3

Step-by-step explanation:

Let's review, and then apply, the definition of "cosine."

cos Ф = adjacent side / hypotenuse.

Here, x is the adjacent side, Ф is the angle and is 60°, and 14 represents the length of the hypotenuse.  cos Ф = adjacent side / hypotenuse becomes:

adjacent side = hypotenuse * cos Ф.

Here, Ф = 60° and cos Ф = cos 60° = 1/2.  Therefore,

in this case, x = 14(1/2), or 7.

Applying the definition of sine:

sin Ф = opp / hyp.  In this case, sin Ф = sin 60° = y/14, so that

y = 14 sin 60°, or y = 14(√3 / 2) = 7√3.

In summary, x = 7 and y = 7√3.


Related Questions

PLEASE HELP!! 20 points :)

Answers

Answer:

25

Step-by-step explanation:

God I hate these xD

I am gonna try my best to explain how to do this :)

For a small music concert, each child in attendance will get a free toy trumpet. Five adults are expected for every 2 children. Find how many children are expected if there are 15 adults, 25 adults, and 40 adults.

Answers

Answer:

If there are 15 adults we can expect 6 children, for 25 adults we can expect 10 children, and for 40 adults we can expect 16 children.

20) Use the distributive property to factor the expression. 10xz − 20yz A) z(10x − 20y) B) 10(xz − 2yz) C) 10z(x − 2y) D) xyz(10 − 20)

Answers

Answer:

C. 10z(x - 2y)

Step-by-step explanation:

10xz − 20y

Factor the terms

Factors of 10xz   =          2 ×       5 × x ×        z

Factors of -20yz = (-1) × 2 × 2 × 5 ×        y × z

Identify their greatest common factor

The common factors are 2, 5, and z. The greatest common  factor is 10z.

Rewrite them with the GCF as a factor

 10xz = 10z ×     x

-20yz = 10z × (-2y)

Replace the terms in the original expression with the factored terms

10xz − 20yz = 10z(x) + 10z(-2y)

Use the distributive property to isolate the greatest common factor

10z(x) + 10z(-2y) = 10z(x - 2y)

A can of tuna fish is a cylinder with a height of 1.75 inches and a diameter of 3 inches. If the can is half full, how many cubic inches of tuna is in the can?

Answers

Answer: [tex]6.185in^3[/tex]

Step-by-step explanation:

The formula for calculate the volume of a cylinder is:

[tex]V_{cylinder}=\pi r^2h[/tex]

r is the radius of the cylinder and h is the height of the cylinder.

Given the diameter of 3 inches, calculate the radius of the cylinder with:

[tex]r=\frac{d}{2}[/tex] (Where d is the diameter)

 [tex]r=\frac{3in}{2}=1.5in[/tex]

Knowing the height and the radius, you can calculate the volume of the entire can of tuna:

[tex]V_{can}=\pi (1.5)^2(1.75in)=12.37in^3[/tex]

As you want to know the cubic inches of tuna that are in the can (volume of tuna), and you know that the can is half full, then:

[tex]V_{tuna}=\frac{V_{can}}{2}\\\\V_{tuna}=\frac{12.37in^3}{2}\\\\V_{tuna}=6.185in^3[/tex]

Answer:

Step-by-step explanation:

jaz its alexis

A scientist looks at a bacterium and a virus in a lab. The bacterium has a diameter of meters. The virus has a diameter of meters. Which statement accurately compares the sizes of the specimens?

Answers

Answer:

"The diameter of the bacterium is 10 times greater than that of the virus."

Step-by-step explanation:

Size of bacteria is 10^-6

Size of virus is 10^-7

Definitely the bacteria is larger. How many times larger? We find that by dividing the diameter of bacterium by the diameter of virus.

Let's do this:

[tex]\frac{10^{-6}}{10^{-7}}\\=\frac{0.000001}{0.0000001}\\=10[/tex]

Hence, the bacterium is 10 times larger than the virus

Answer:

I got A) "The diameter of the bacterium is 10 times greater than that of the virus."

Step-by-step explanation:

Is any whole number with 5 digits greater than any whole number with 4 digits

Answers

Answer:

Yes

Step-by-step explanation:

If you had 52,134 and 7,623, which one is greater? 52,134 because its in the ten thousands and 7,623 is in the thousands.

What is the volume of the cone below radius 4 height 27? NEED HELP ASAP THX

Answers

The volume of the cone is 144π units³

Given,

Radius of cone (r) = 4

Height of cone (h) = 27

What is the volume of a cone?

The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.

Volume of the cone (V)=1/3πhr²

Substitute the values of h and r,

V = 1/3π(27)(4)²

V = 144π units³

Hence, The volume of the cone is 144π units³

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If a pitch from a moving vehicle sounds lower to a hearer, where is the vehicle in relations to the hearer? A. Past the hearer B. Before the hearer C. Above the level of the hearers ear D. Below the level of the hearers ear

Answers

Answer:

a

Step-by-step explanation:

give the other kid brainiest

In this figure a || b Find the measure of each angle using either of the given angle measures. Identify the reason for each answer
∠1
∠2
∠3
∠4
∠5
∠6

Answers

Answer:

[tex]m<1=99\°[/tex]

[tex]m<2=81\°[/tex]

[tex]m<3=86\°[/tex]

[tex]m<4=86\°[/tex]

[tex]m<5=86\°[/tex]

[tex]m<6=94\°[/tex]

Step-by-step explanation:

Part 1) Find the measure of angle 1

we know that

[tex]m<1+81\°=180\°[/tex] -----> by supplementary angles

[tex]m<1=180\°-81\°=99\°[/tex]

Part 2) Find the measure of angle 2

we know that

[tex]m<2=81\°[/tex] -----> by alternate exterior angles

Part 3) Find the measure of angle 3

we know that

[tex]m<3=86\°[/tex] -----> by vertical angles

Part 4) Find the measure of angle 4

we know that

[tex]m<4=86\°[/tex] ------> by corresponding angles

Part 5) Find the measure of angle 5

we know that

[tex]m<5=m<4[/tex] -----> by vertical angles

so

[tex]m<5=86\°[/tex]

Part 6) Find the measure of angle 6

we know that

[tex]m<5+m<6=180\°[/tex] -----> by supplementary angles

we have

[tex]m<5=86\°[/tex]

substitute

[tex]86\°+m<6=180\°[/tex]

[tex]m<6=180\°-86\°=94\°[/tex]

Which of the following shows 2.684 rounded to the nearest hundredth

A. 2.68

B. 2.69

C. 2.70

D. 3.00

Answers

The answer would be A

Final answer:

To round 2.684 to the nearest hundredth, you look at the third decimal place. Since it's a 4, you don't round up, keeping the second decimal at 8. The rounded number is 2.68.

Explanation:

To round the number 2.684 to the nearest hundredth, we need to look at the third digit after the decimal point, which is 4 in this case. Since the third digit (4) is less than 5, we do not round up the second digit. Therefore, the second digit after the decimal remains as 8, and the number 2.684 rounded to the nearest hundredth is 2.68.

So, the correct answer from the options provided is:

A. 2.68

The length of a rectangle is 2 times its width . If the perimeter of the rectangle is 36 inches, find its length and width

Answers

Answer:

Step-by-step explanation

If breadth =x

Length =2x

Perimeter = 2x +x +2x+x

36=6x

X=6

Therefore breadth =6

Length =12

Final answer:

The question asks about finding the length and width of a rectangle given its perimeter. By setting up and solving an equation, we found that the rectangle's width is 6 inches, and its length is 12 inches.

Explanation:

Given that the length of a rectangle is 2 times its width, and the perimeter of the rectangle is 36 inches, we are asked to find the length and width of the rectangle. We can start by defining the width as 'w' and the length as '2w'. The formula for the perimeter of a rectangle is 2(length + width). We can substitute our definitions of length and width into this formula to get 2(2w + w) = 36. Simplifying this gives 3w = 18, so the width is 6 inches. Therefore, the length is 2 × 6 = 12 inches.

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what is the absolute value of 5+|-6|​

Answers

5+|-6|

5+6

11

...

...

..

..

Final answer:

The absolute value of -6 is 6, so the value of the expression 5 + |-6| is 11.

Explanation:

The absolute value of a number is its distance from zero on a number line, regardless of direction.

Hence, the absolute value of -6 is 6. Now let's solve the expression 5 + |-6|.

First, we find the absolute value of -6, which is 6. Adding this to 5, we get:

5 + |(-6)| = 5 + 6 = 11.

Thus, the absolute value of 5 + |-6| is 11.

A line described by the equation -4x + Y = 2 is graphed on a coordinate plane. Which equation describes the graph of a line passing through the point (-1, 3) and parallel to the line described by -4x + y = 2?

Answers

Answer:

D

Step-by-step explanation:

We know that parallel lines have equal slopes.

Let's transform the given equation to the form y = mx + b to find the slope (m is the slope). Shown below:

[tex]-4x+y=2\\y=4x+2[/tex]

So the slope is 4. Hence the parallel line will have a slope of 4.

Now we can write the equation of the parallel line as :

[tex]y=4x+c[/tex]

Since the line goes through (-1,3), we can plug in -1 into x and 3 into y to find out c:

[tex]y=4x+c\\3=4(-1)+c\\3=-4+c\\3+4=c\\c=7[/tex]

Now we know both m and c, so the equation of the parallel line is:

[tex]y=4x+7[/tex]

Answer choice D is right.

What is 77,543 rounded to the nearest ten?

Answers

Answer:

77,540

Step-by-step explanation:

Since 3 is less than 4, we round down a ten. This comes out to 77,540.

The Answer Would Be:

77,540

Triangle ABC has measures a equals 2 b equals 2 and angle a equals 30 degrees what is the measure of angle B

Answers

Hello!

The answer is: Angle B is 30°

Why?

Since we know that both sides, a and b are equal to 2, and angle A is equal to 30°, we can conclude that angle B is also equal to 30°. Also, we can know that the other angle (C) will be equal to 120° since the sum of all the angles in a triangle will be always equal to 180°.

Have a nice day!

Answer:

B: 30 degrees

Step-by-step explanation:

a=2

b=2

<b = 30

The population of the United States is 3 × 108 people, and the population of the world is 6.9 × 109 people. How many times larger is the world population? Write your answer in standard notation.

Answers

Final answer:

The world population is approximately 23 times larger than the population of the United States.

Explanation:

The question is asking how many times larger the world population is compared to the population of the United States. You can determine this through division. In this case,
6.9 × 109 (the world population) divided by 3 × 108 (the US population) equals approximately 23. This means that the world population is approximately 23 times larger than the population of the United States.

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The answer is expressed in standard notation as 23.

To calculate how many times larger the world population is compared to the United States, we divide the world population by the population of the United States. Given the world population as 6.9 × 10^9 people and the U.S. population as 3 × 10^8 people, we perform the following calculation:

6.9  × 10^9 ÷ 3 × 10^8 = 23 times larger.

When we divide these two numbers, we subtract the exponents (since the bases are the same) resulting in 10^1, which is just 10. Multiply the non-exponential part: 6.9 ÷ 3, which equals 2.3. Therefore, 2.3 × 10 tells us that the world population is 23 times larger than the population of the United States. To write this in standard notation, we simply say the world population is 23 times larger.

-0.2x^2+0.9x+0.6=y
What's the vertex form for this equation?​

Answers

Answer:   y = -0.2(x - 2.25)² + 1.6125

Step-by-step explanation:

[tex]y = -0.2x^2 + 0.9x + 0.6\\\\y - 0.6 = -0.2x^2 + 0.9x\\\\y - 0.6 =-0.2(x^2-4.5x)\\\\y-0.6+\underline{(-0.2)(2.25)^2}=-0.2(x^2-4.5x+\underline{2.25^2})\\\\y-0.6-1.0125=-0.2(x-2.25)^2\\\\y-1.6125=-0.2(x-2.25)^2\\\\y=-0.2(x-2.25)^2+1.6125[/tex]

Hhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

A

Step-by-step explanation:

Answer:a

Step-by-step explanation:

A diameter of a circle had endpoints of (-5, 6) and (-5,-2). What is the equation of this circle?

Answers

Answer: OPTION A

Step-by-step explanation:

Apply the formula for calculate the distance between two points to know the value of the diameter of the circle:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\D=\sqrt{(-5-(-5))^2+(-2-6)^2}\\D=8[/tex]

The equation of the circle is standard form is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where r is the radius and (h,k) is the point of the center of the circle.

As we know the diameter, we can find the radius:

[tex]r=\frac{8}{2}=4[/tex]

Substitute it into the equation:

[tex](x-h)^2+(y-k)^2=(4)^2[/tex]

[tex](x-h)^2+(y-k)^2=16[/tex]

Then, the answer is:

[tex](x+5)^2+(y-2)^2=16[/tex]

HELP ME PLZ
(50 POINTS)

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

The formula for circumference is [tex]\pi d[/tex]

1) [tex]\pi d = 31.4[/tex]

Divide both sides by [tex]\pi[/tex]

d = 9.99 (consider this to be 10)

Half this to find the radius

10/2 = 5

It would be figure B.

2) [tex]\pi d = 37.68[/tex]

Divide both sides by [tex]\pi[/tex]:

d = 11.99 (consider this to be 12)

Divide by 2 to find the radius:

12/2 = 6

It would be figure C.

3) area = [tex]\pi r^2[/tex]

[tex]\pi r^2 = 153.86[/tex]

r^2 = 48.97515909

r = 6.998 (consider this to be 7)

It would be figure D

4) [tex]\pi r^2 = 113.04[/tex]

r^2 = 35.98174

r = 5.998 (consider this to be 6)

It would be figure C.

5) radius = diameter / 2

radius = 3

[tex]\pi (3)^2 = 28.27433[/tex]

It would be option C

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

he is right

becasue he knows what he is talking about

Please help. Ima have to turn this is tomorrow. ​

Answers

Answer:

A) 7x + (-2)

B) 2x + (-12)

C) 4x + (-16)

D) 6x - 4

Step-by-step explanation:

A=

(-1) + 4x + 2 + 2x + x

7x + (-1) + 2

7x + (-2)

B=

-8x + 4 + (-3) + 10x

2x + 4 + (-3)

2x + (-12)

C=

(-4) + 1x (Squared) + 3x + 4

(-16) + 1x (Squared) + 3x

(-16) + 1x + 3x

4x + (-16)

D=

2(3x - 2)

(6x - 4)

6x - 4

I'm having trouble with figuring out a question in algebra. It is: 1/8 times x = 1.

Answers

Answer:

8

Step-by-step explanation:

answer is 8 because 1/8 times 8 equals 1

If each point in the diagram can act as an endpoint, how many distinct line segments can be formed using the set of points
A. Three
B. Four
C. Five
D. Six

Answers

Answer:

Option D 6 is the answer.

Step-by-step explanation:

the given points are A, D, C and B. If each point in the diagram can act as end points, we have to calculate number of distinct line segments formed.

This ca be calculated in two ways.

(1) We will form the line segments

AB, AC, AD, BC, BD, DC

Therefore 6 segments can be formed.

(2) By combination method

Number of segments = [tex]^{4}C_{2}[/tex]

= [tex]\frac{4!}{2!2!}=\frac{4\times 3\times 2\times 1}{(2\times 1)\times (2\times 1)}[/tex]

= [tex]\frac{4\times 3}{2\times 3}=\frac{12}{2}[/tex]

= 6

Option D 6 is the answer.

Answer:

6

Step-by-step explanation:

possible points are:

ad

ac

ab

dc

db

cb

Jen spent $20 at the fair. She spent half of her money on admission and 18% on food. If she spent the rest on rides, how much did she spend on rides?

Answers

Step-by-step explanation:

Half of 20 is 10.

18 percent of 20 is 3.6

20-13.6 is 6.4 so she spent

6 dollars and 40 cents on rides

factor a(p–q)+q–p PPPLLZ

Answers

Answer:

(p-q)(a-1)

Step-by-step explanation:

a x (p-q) -1 (p-q) extract the negative sign

(p-q) x (a-1) fact p-q from expression

(p-q)(a-1)

Answer:

Apq is the answer

Step-by-step explanation:

Please help me o have to turn this in tomorrow and I don’t want to fail

Answers

B=5 units that is the answer

Plz help me i need it

Answers

Answer:

13x^3-2x^2+3x+13

Step-by-step explanation:

you add the like terms. For example, you can add 3x^2 and 2x^2, but not 6 and 2x^2.

Answer:   13x³ - 2x² + 3x + 13

Step-by-step explanation:

  5x³ + 3x² - 5x + 4

+ 8x³ - 5x² + 8x + 9

13x³ - 2x² + 3x + 13

I have 11 red marbles and 4 blue marbles in a bag if I choose one what color will it be

Answers

it will most likely be red

Red

The simplified ratio is for every 1 blue marble there is 2.75 red marbles. Do you are more likely to pull out red.

Suppose f(x) = x^2+2. Find the graph of f(2/3x)

Answers

Answer:

The answer is graph 4.

Step-by-step explanation:

I literally just guessed it and got it right lol. Stay safe, ya’ll.

Defining congruent triangles

Answers

Answer:

E -->R

D-->K

O-->O

Step-by-step explanation:

Assuming you are asking for congruent parts, correspondence is the part which corresponds and is also equal.

Here Angle E corresponds and is congruent to Angle R in these congruent triangles.

Angle D is congruent and corresponds to Angle K for these congruent triangles.

Angle O is equal to Angle O as they are vertical angles across a vertex.

Final answer:

Congruent triangles, in mathematics, are triangles that are of the same size and shape, meaning their corresponding sides and angles are equal. An example would be two triangles each with sides of 3, 4, and 5 units.

Explanation:

In mathematics, specifically in geometry, congruent triangles are defined as triangles that have the same size and shape. This means that their corresponding sides are of equal length, and their corresponding angles are of equal measure. The concept of congruence is important in many aspects of geometry, including the study of shapes, symmetry, and transformations.

Examples of Congruent Triangles:

If we have two triangles, Triangle A (with sides of 3, 4, and 5 units respectively) and Triangle B (with sides of 3, 4, and 5 units as well), these two triangles are congruent, as the lengths of their corresponding sides are equal. You could rotate, flip or move one to coincide exactly with the other, showcasing their congruency.

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