Find the value for the given variables. Give the variables in simplest radical form. (as a square root)

Find The Value For The Given Variables. Give The Variables In Simplest Radical Form. (as A Square Root)

Answers

Answer 1

Answer:

Step-by-step explanation:

for y

take 45 degree as reference angle

using cos rule

cos 45=adjacent/hypotenuse

1/[tex]\sqrt{2}[/tex]=10/y

y=10[tex]\sqrt{2}[/tex]

for x

take 45 degree as reference angle

using sin rule

sin 45=opposite/hypotenuse

1/[tex]\sqrt{2}[/tex]=x/10[tex]\sqrt{2}[/tex]

x[tex]\sqrt{2}[/tex]=10[tex]\sqrt{2}[/tex]

x=10[tex]\sqrt{2}[/tex]/[tex]\sqrt{2}[/tex]

x=10


Related Questions

Question 9 of 10
Fill in the blank. In the triangle below, y=
decimal places.
- Round your answer to two
47"
y
35
ze
Answer here

Answers

Answer:

y = 51.32º

Step-by-step explanation:

z = 180 - 47 - 90

z = 43º

sin43 = opp/hyp

sin43 = 35/y

y = 35/sin43

y = 51.32º

Please help with this question

Answers

Answer:

Step-by-step explanation:

a) A(t) = 6000 * (1.015)^t

b) 6000 * (1.015)^32 = $9661.94


Find the height of the cylinder given the surface area and one
other dimension:r = 5 in SA
659,4 in?

Answers

Answer:

C 16 inches

Step-by-step explanation:

a cylinder is 2 circles (1 on top, 1 at the bottom) and a round "mantle" connecting the two circles.

so, the surface area is the sum of the areas of both circles and the "mantle".

this "mantle" can be cut open and cut off the circles, and then be placed flat on the table. then it is simply a rectangle with the side lengths cylinder height (h) and circle circumference.

circle area : pi × r²

circle circumference : 2 × pi × r

rectangle area :

length × width = circle circumference × h

SA = 659.4 inches² = 2×(pi × r²) + (2×pi×r)×h =

= 2×pi×25 + 2×pi×5×h = 50×pi + 10×pi×h

=> 659.4 - 50×pi = 10×pi×h

=> (659.4 - 50×pi) / (10×pi) = h = 16 inches

The lengths of the sides of a triangle or an extended ratio 7 8 and 9 the perimeter of the triangle is 48 cm what are the lengths of the sides

Answers

Answer:

14cm, 16 cm, 18 cm

Step-by-step explanation:

Note that

= a:b: c = 7:8:9

We have to find the sum of the proportion

Sum of proportion = 7 + 8 + 9

= 24

Length of side a

7/24 × 48 = 14 cm

Length of side b

8 /24 × 48 = 16cm

Length of side a

9/24 × 48 = 18 cm

What are the lengths of the sides?

The lengths of the sides of the triangle in cm are

14cm, 16 cm, 18 cm

The subject is: Solving Quadratic Formula, if you know the answer and it’s correct please let me know, if not, do not comment.

Answers

Answer:

The equation needs to be in standard form

Step-by-step explanation:

The equation needs to be in standard form

so the the coefficients a, b and c can be determined

for use in the quadratic formula

Which measure of central tendency best describes the data? 45, 45, 46, 52, 100, 43, 98, 46, 81 median only mean only either mean or median​

Answers

Answer:

Median only

Step-by-step explanation:

I also go to k12 and did this quiz.

sorry if I'm already late

Choose the inequality that represents the following graph.

Answers

It’s x < -2
........

the answer is C since it needs to be lees than or -2

Calculate the interquartile range from the given box plot

Answers

Answer:

IQR = 3

Step-by-step explanation:

The interquartile range (IQR) is the difference between the upper quartile Q₃ and the lower quartile Q₁

Q₃ is the value at the right side of the box , that is Q₃ = 62.5

Q₁ is the value at the left side of the box. that is Q₁ = 59.5

Then

IQR = Q₃ - Q₁ = 62.5 - 59.5 = 3

Hugo has a brother and sister. Hugo is x years old. •

His sister Jasmine is 3 years older than Hugo •
His brother Manny is 2 years older than Jasmine.
Which expression represents the sum of the ages of Hugo and his two siblings?
x + 5
X + 8
3r + 5
3x + 8

pls help due soon​

Answers

Answ

3xmas8

-------------------------------

listo

What is an equation of the line that passes through the points (-3,-1) and (6,2)?​

Answers

Answer:

[tex]y=\frac{1}{3}x[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points the line passes through are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (-3,-1) and (6,2)

[tex]=\frac{2-(-1)}{6-(-3)}\\=\frac{2+1}{6+3}\\=\frac{3}{9}\\=\frac{1}{3}[/tex]

Therefore, the slope of the line is [tex]\frac{1}{3}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\frac{1}{3}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\frac{1}{3}x+b[/tex]

Plug in one of the given points and solve for b

[tex]2=\frac{1}{3}(6)+b\\2=2+b[/tex]

Subtract 2 from both sides to isolate b

[tex]2-2=2+b-2\\0=b[/tex]

Therefore, the y-intercept is equal to 0. Plug this back into [tex]y=\frac{1}{3}x+b[/tex]:

[tex]y=\frac{1}{3}x+0\\y=\frac{1}{3}x[/tex]

I hope this helps!

Which expression is equivalent to (3x2-7) A) (2x2-11)-(x+4) B) (5x²-6)- (2x2-1) C) (10x² - 4)-(7x2+3 D) (15x2 +8)- (18x2+1)

Answers

Answer: (c)

Step-by-step explanation:

Given

The expression is [tex]3x^2-7[/tex]

checking options, for (a)

[tex]\Rightarrow 2x^2-11-x-4\\\Rightarrow 2x^2-x-15[/tex]

option (a) is incorrect

for (b)

[tex]\Rightarrow 5x^2-6-2x^2+1\\\Rightarrow 3x^2-5[/tex]

option(b) is incorrect

for (c)

[tex]\Rightarrow 10x^2-4-7x^2-3\\\Rightarrow 3x^2-7[/tex]

option (c) is matching with the given expression.

Lines lll, mmm, and nnn are parallel to each other and ppp is a transversal. parallel lines Also, \dfrac{\angle{x}}{\angle{y}}=\dfrac{3}{7} ∠y ∠x ​ = 7 3 ​ start fraction, angle, x, divided by, angle, y, end fraction, equals, start fraction, 3, divided by, 7, end fraction. Find \angle{z}∠zangle, z.

Answers

Answer:

The answer is 5 degrees

Step-by-step explanation:

Please factor and find the zeros of each relation. (19 marks)
E. y = 3x^2 + 12x
F. y = x^2 + 20x + 100

Answers

Answer:

Step-by-step explanation:

y=3x^2+12x = 3x (x+4)

zeroes: x={0, -4}

y = x^2+20x+100 = (x+10)^2

zeroes: x = -10 (twice)  

or x={-10, -10}

Find the measure of the indicated angle to the nearest degree

Answers

9514 1404 393

Answer:

  25°

Step-by-step explanation:

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(?) = 25/60

  ? = arcsin(25/60) ≈ 24.62°

The indicated angle is about 25°.

2
v
What is the equation of a line that is parallel to y = -4x – 3 and shifted down 3 units?

Answers

Answer: [tex]y=-4x-6[/tex]

Step-by-step explanation:

Given

The equation of line is [tex]y=-4x-3[/tex]

The line which is parallel to the given line is [tex]y=-4x+c[/tex]

and shifted by 3 units down i.e. its y-intercept is 3 units below the given line

[tex]\therefore y=-4x-3-3\\\Rightarrow y=-4x-6[/tex]

love how everyone hw on here is geometry and im just here like.... help...

Answers

Answer:

nope it isn't a linear function

Step-by-step explanation:

if you put it in a graph it isn't a straight line

Hey can some some please help me !!!!!

Answers

Answer:

y = x+2

Step-by-step explanation:

proportional relationships are of the form

y = kx where k is a constant

y = x is proportional with k=1

y = 2x is proportional with k =2

y = x+2 is linear

Answer:

y = x+2

Step-by-step explanation:

proportional relationships are of the form

y = kx where k is a constant

y = x is proportional with k=1

y = 2x is proportional with k =2

y = x+2 is linear

Need help asap......

Answers

Answer:

32

Step-by-step explanation:

[tex](2x+20)+3x=180\\5x+20=180\\5x=180-20=160\\x=160/5=32[/tex]

45 + 9/4 + 4 + 12/20

Answers

45 + 2.25 + 4 + 0.6 =

45 + 6.85 =

51.85

Here’s the answer 1037/20 51.85

a dice cube has 6 sides that are numbered 1-6. If the cube is thrown once, what is the probability of rolling an odd number?

Answers

Answer:

3/6 or 1/2

Step-by-step explanation:

1, 2, 3, 4, 5, 6

3 odd #s and 3 even #s

3/6 are odd which means 3/6 probability of rolling an odd #

Answer:

1/2

Step-by-step explanation:

There are 3 odd numbers 1,3,5 so 3/6 which equals 1/2

:DDDDD

I need help please help ASAP?!?!

Answers

Answer:

C

Step-by-step explanation:

(x²)(x³) = x 2+3

6 + (-3)

6 - 3

3

Answer:

the answer is c

Step-by-step explanation:

2 exponent 6 = 64

2 exponent -3 = .125

64x.125 = 8

2 exponent 3 = 2x2x2 = 8

(i don't know how to write exponents on my computer)

i need someone to help me with my math assignments

Answers

Answer:

okay depending on the question

Answer:

I can try

Step-by-step explanation:

HELP!!! Please ASAP

Answers

Answer:

which

Step-by-step explanation:

which one is answer

What are all of the factor pairs for 18?

Answers

Answer:

e

Step-by-step explanation:

because it iiiiiiiiiiiiiiis

Answer:

[tex]\huge\boxed{Factor \ Pairs \ Of \ 18 \hookleftarrow}[/tex]

[tex]1 \times 18 = 18 \\ 2 \times 9 = 18 \\ 3 \times 6 = 18 \\ 6 \times 3 = 18 \\ 9 \times 2 = 18 \\ 18 \times 1 = 18[/tex]

So, the factor pairs are :-

1, 182, 93, 6 (option E)

# ꧁❣ RainbowSalt2²2² ࿐

what is the mean to this
Sample #2
21 14 0 3 6
7 10 11 7 9
14 0 15 5 12
20 0 12 11 6
0 21 14 0 6

Answers

Answer:

44.8

Step-by-step explanation:

You're picking out water balloons. There are 333 colors and 222 sizes.
If you randomly pick the color and size, which of these tables lists all possible outcomes? (Each row represents one outcome.)
Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
Table A

(Choice B)
B
Table B
Table A:
Color Size
Green Large
Green Small
Orange Large
Orange Small
Yellow Large
Yellow Small
Table B:
Color Size
Green Large
Orange Large
Yellow Large
Green Small
Orange Small
Yellow Small

Answers

I think chose a might be correct due to the fact that there is more variety of sizes

Answer:

Select both Table A and Table B

Step-by-step explanation:

Both Tables show all 3 colors and 2 possible sizes

For proof here is a screenshot of the answer being correct:

Someone pls help me I don’t get this

Answers

Answer:

Mode :6 Range :5

Step-by-step explanation

To find the mode look for the number that is repeated the most times. And to find the range subtract the greatest number with the smallest number. Hope this helped :)

Step-by-step explanation

The range is the max value minus the minimum value, which would be 8-3, and that equals 5

and the mode is the number that you see the most in a data set, in this case the mode would be 6 since it is the only number that occurs three times

hope this helped

Need help worth 20 points

Answers

Answer:

I believe it's 17.202

Step-by-step explanation:

first Lets add the number of people at the age of 50 and over who have done highschool only and some college.

1942+1057= 2999

then multiply that by 100 divided by the total:total

2999*100/17434=17.20201904

answer 17.202

I would still check though cause i'm not sure if this is correct

Soshi’s rhombus has a base of 12 in and a height of 10 in. Jack’s rhombus has base and height measures that are double those of Soshi’s rhombus. Compare the area of Jack’s rhombus to the area of Soshi’s rhombus. Explain.

Answers

Answer:

360

Step-by-step explanation:

help me out please !!!!

Answers

Answer:

0.06 liters

Step-by-step explanation:

acid concentration of 65% means that it of 100 units of that solution 65 are acid, and the remaining 35 are water.

so, 100 units are 0.2 liters in this example.

that means that 65/100 × 0.2 = 0.13 liters are acid.

35/100 × 0.2 = 0.07 liters are water

we get a 50% concentration, when we have the same amount of water and acid in the solution (acid is only half of 50% of the solution).

the account of acid remains the same, as we are only adding water.

so, how much water do we need to get from 0.07 liters to 0.13 liters (the same as the already present acid) ?

0.13 - 0.07 = 0.06 liters

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