Find the value(s) of the variable(s). Write your answer(s) in simplest radical form.

Find The Value(s) Of The Variable(s). Write Your Answer(s) In Simplest Radical Form.

Answers

Answer 1

Answer:

Step-by-step explanation:

12). By applying Pythagoras theorem in the given right triangle,

      Hypotenuse² = (Leg 1)² + (Leg 2)²

      x² = 7² + 7²

      x² = 2(7)²

      x = [tex]\sqrt{2(7)^{2} }[/tex]

      x = [tex]7\sqrt{2}[/tex]

13). By sine rule,

      sin(60)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

      [tex]\frac{\sqrt{3}}{2}=\frac{9\sqrt{3} }{y}[/tex]

      y = [tex]\frac{18\sqrt{3} }{\sqrt{3} }[/tex]

      y = 18

      By cosine rule,

      cos(60)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

      [tex]\frac{1}{2}=\frac{x}{y}[/tex]

      x = [tex]\frac{y}{2}[/tex]

      x = [tex]\frac{18}{2}=9[/tex]

14). By applying Pythagoras theorem in the given right triangle,

      12² = x² + x²

      144 = 2x²

      72 = x²

      x = √72

      x = 6√2


Related Questions

Which of the following is the solution set of the given equation?
(x-3)-2(x+6)=5

Answers

Answer:

the answer is x=-20 there you go

Answer: x = - 20 Hope I Helped!!

Step-by-step explanation:

Distribute

Eliminate Redundant Parentheses

Subtract The Numbers

Combine Like Terms

Add 15 to both sides of the equation!!!

Is this a function? thanks for the answers:)

Answers

Answer:

Yes

Step-by-step explanation:

I am pretty sure it is a linear function

Answer:

yes

Step-by-step explanation:

[tex]3x+6-y=2y-8\\\\3x+6=2y+y-8\\\\3x+6=3y-8\\\\3y-8=3x+6\\\\3y=3x+6+8\\\\3y=3x+14\\\\y=x+\frac{14}{3}[/tex]

so yes it's a function

math question problem​

Answers

6/4 is the slope of the line

Which of these figures has rotational symmetry

Answers

Answer:

D or C more than likely D

Step-by-step explanation:

Read, and choose.

A. 10%

B. 25%

C. 50%

D. 80%

Answers

It’s c.......................:)

express the ratio in its simplest form 1\4:1\8:1\16​

Answers

Answer:

4 : 2: 1

Step-by-step explanation:

[tex] \frac{1}{4} : \frac{1}{8} : \frac{1}{16} \\ \\ multiplying \: throughout \: by \: 16 \\ \\ 16 \times \frac{1}{4} : \:16 \times \frac{1}{8} : \: 16 \times \frac{1}{16} \\ \\ 4 : 2 : 1[/tex]

how do I solve the symptoms of linear equations by substitution
2x-y=23
x-9=-1​

Answers

Answer:

x = 8, y = -7

in coordinate form: (8,-7)

Step-by-step explanation:

first, find x using the second equation:

x - 9 = -1

add 9 to both sides of the equation

x - 9 + 9 = - 1 + 9

x = -1 + 9

x = 8

next, substitute x for 8 in the first equation:

2x - y = 23

2 * 8 - y = 23

16 - y = 23

16 - y + y = 23 + y

16 = 23 + y

16 - 23 = y

y = -7

also, I had this exact question on an assignment earlier today ahah

Yes!! the person above got the correct answer!! hope you have an awesome day!!

please help me im stuck!!!!

Answers

Answer: 1072.8 cm³

Step-by-step explanation:

The volume of a hemisphere: 2/3πr³

Radius = 8 cm

2/3 × 22/7 × 8³

2/3 × 22/7 × 512 = 1072.761

1072.761 ≈ 1072.8

The volume of this hemisphere is 1072.8 cm³

Hope this helped!

Abble is going out for pizza with her friends. For $60 total, they can buy p pizzas. Each
pizza costs $12.
P

Answers

Answer:

Step-by-step explanation:

if Abble buy pizzas for 60 dollars

60/12=5

he can buy 5 pizzas

p=5

I need help with this please help .

Answers

Answer:

Subs: 49.5 students, Tex-mex: 144 students, Italian: 31.5 students

Step-by-step explanation

The number of students eating a type of food can be found by using:

Percent * number of students

So in this equation, we can use this formula to find the answers.

Subs:

22% * 225 = 0.22 * 225 = 49.5

Tex-mex:

64% * 225 = 0.64 * 225 = 144

Italian:

14% * 225 = 0.14 * 225 = 31.5

There is an issue- you can't have half a person. Either this question is wrong, or the person who wrote it didn't keep this in mind.

Ask your teacher whether this question is right, or just leave the answer like this.

Which one is linear

Answers

A because linear means straight line
A is the answer !!!!!

Given the following, find the value of x.
(4x+45)
(5x-18)

Answers

Step-by-step explanation:

Hey ..but there is nothing from which question can be equated ..

like if they are equal to zero..

or

(4x+45)=(5x-18)

i am giving answer for both scenarios

(4x+45)=0

4x=-45

x=-45/4

x=(-11.25)

(5x-18)=0

5x=18

x=18/5

x=3.6

Incase if they both are equal to each other...

(4x+45)=(5x-18)

(45+18)=(5x-4x)

63=x

x=63

Hope it helps you

Have a nice day

Photos math!Very helpful app!

ARE ON
1. Which of the following is most likely a graph of y=-2x +3?

Answers

The answer is:y=-1x+3

4. At Sports Shoe Warehouse, the cost of 9 pairs of baseball shoes is $855 plus $92 for each additional pair.
From Winning Team Shoes, the cost of 9 pairs of baseball shoes is $810 plus an additional 7% for each
additional pair. For how many total pairs of baseball shoes does each vendor cost about the same?

Answers

Answer:

10.46

Step-by-step explanation:

Let the Number of additional pair = x

Ware house A :

855 + 92x - - - (1)

Warehouse B:

Initial cost per pair before 9

= 810 / 9 = $90

Additional 7% for pairs after 9

1.07 * 90 = 96.3

810 + 96.3x - - - (2)

810 + 96.3x = 855+ 92x

96.3x - 92x = 855 - 810

4.3x = 45

x = 45 / 4.3

x = 10.46

Additional pair be 10.46

Here is a right-angled triangle.
601
XCm
5 cm
Cos 60° = 0.5
b) What is the value of x?
(2)

Answers

Answer:

Hypotenuse = 10 Cm

Step-by-step explanation:

Given:

θ = 60°

Base = 5 cm

Hypotenuse = x cm

Find:

Hypotenuse

Computation:

Cos θ = Base / Hypotenuse

Cos 60° = 5 / Hypotenuse

0.5 = 5 / Hypotenuse

Hypotenuse = 10 Cm

Help Asap 15points pic below

Answers

Answer:

[tex]\frac{1}{r^{10} }[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] ( with n > m )

= [tex]\frac{1}{a^{(n-m)} }[/tex]

Then

[tex]\frac{r^{2} }{r^{12} }[/tex]

= [tex]\frac{1}{r^{(12-2)} }[/tex]

= [tex]\frac{1}{r^{10} }[/tex]

You sell small and large candles at a craft fair. You collect $144 selling a total of 28 candles. How many of each type of candle did you sell? A photo shows a small candle labeled 4 dollars each and a large candle labeled 6 dollars each.

Answers

Answer:

The number of

Small candles = x = 12 candles

Large candles = y = 16 candles

Step-by-step explanation:

You sell small and large candles at a craft fair. You collect $144 selling a total of 28 candles. How many of each type of candle did you sell? A photo shows a small candle labeled 4 dollars each and a large candle labeled 6 dollars each.

Let the number of

Small candles = x

Large candles = y

Our system of equations is:

x + y = 28 .......... Equation 1

x = 28 - y

A photo shows a small candle labeled 4 dollars each and a large candle labeled 6 dollars each.

4x + 6y = 144......... Equation 2

Substitute 28 - y for x in Equation 2

4(28 - y) + 6y = 144

112 - 4y + 6y = 144

- 4y + 6y = 144 - 112

2y = 32

y = 32/2

y = 16 candles

x = 28 - y

x = 28 - 16

x = 12 candles

Therefore:

The number of

Small candles = x = 12 candles

Large candles = y = 16 candles

Find y.
Round to the nearest tenth:
31°
y
X
400 ft
y = [? ]ft

Answers

Answer:

y = 240.3 ft

Step-by-step explanation:

Use trigonometric ratio to find y:

Thus,

Reference angle = 90° - 31° = 59°

Opposite = 400 ft

Adjacent = y

Therefore:

Tan 59° = 400/y

Multiply both sides by y

y*tan 59 = 400

Divide both sides by tan 59

y = 400/tan 59

y = 240.3 ft (to the nearest tenth)

An observation tower's shadow is 32 feet long. Not far away, a marble column's shadow is 8 feet long. If the observation tower is 60 feet tall, how tall is the marble column?

Answers

Answer:

15 feet

Step-by-step explanation:

This is calculated using the formula

Height of observation tower/Shadow of observation tower = Height of Marble column/Shadow of marble column

From the question

Height of observation tower = 60 ft

Shadow of observation tower = 32 ft

Height of Marble column = ? x

Shadow of marble column = 8 ft

Hence:

60ft/32ft = x/8ft

Cross Multiply

60ft × 8 ft = 32ft × x

x = 60 ft × 8 ft/32 ft

x = 15 ft

Therefore, the marble column is 15 feet tall

Find the area of square in m’ if its side has the following dimensions.
(a) 90 cm
(b) 1 m 50 cm

Answers

Answer:

trol c(:

Step-by-step explanation:

XD

Solve the algebraic equation -4x +2 (x - 1)^2

Answers

Answer:

2x^2 - 8x + 2

Step-by-step explanation:

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

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

= -4x + 2x^2 - 4x + 2

= -8x + 2x^2 + 2

=2x^2 - 8x + 2 (usually put the exponent kind of things first)

HELP!!!!!!!!!!!! ITS FOR A FRIEND
The population in Smalltown in 2010 was 30,500 people and is growing exponentially at a rate of 3 percent. Write an equation that defines the population t years after 2010?

Answers

30,500(.3•t) I think that is it

Pls help and show workings
Due ASAP

Answers

Answer: B

Step-by-step explanation:

The equation [tex]y+2=\frac{3}{4} x-8[/tex] is not yet in slope-intercept form([tex]y=mx+b[/tex]).  Simply subtract 2 from both sides to turn the equation into slope intercept form as [tex]y=\frac{3}{4}x-10[/tex].  For a line to be perpendicular to another, it must have an opposite reciprocal slope.  A reciprocal is the fraction reversed, where the numerator is the denominator and vice versa.  Thus, 3/4 would become 4/3.  The opposite reciprocal of 3/4 would be -4/3.

The slope of the line given is 3/4.  Thus, simply plug in the opposite reciprocal of 3/4 for the slope to get: [tex]y=-\frac{4}{3} x+b[/tex].  Then, because the line passes through -12, 1, plug those values in for x and y, respectively.  

[tex]1=-\frac{4}{3}*-12+b[/tex]

[tex]1=16+b[/tex]

[tex]-15=b[/tex]

Thus, the equation of the line is [tex]y=-\frac{4}{3} x-15[/tex], or B.

Hope it helps :D

4.Solve -3.1s = -19.22.
A.
-59.582
B.
6.2
C.
-6.2
D.
59.582


Plzzz

Answers

Answer:

s=6.2

Step-by-step explanation:

-3.1s=-19.22

divide -19.22 by -3.1 to get s

s=6.2

A company that makes hair-care products had 4,000 people try a new shampoo. Of 4,000 people, 24 had a mild allergic reaction. What percent of the people had a mild allergic reaction?

Please help me!!!

Answers

the answer is 0.6% i think hope this helps

Answer:

0.6%

Step-by-step explanation:

[tex]\frac{24}{4000}[/tex] = 0.6%

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 4000 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 4000, so we can write it down as 100%=4000.

4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.

5. Now we have two simple equations:

1) 100%=4000

2) x%=24

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=4000/24

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24 is what percent of 4000

100%/x%=4000/24

(100/x)*x=(4000/24)*x       - we multiply both sides of the equation by x

100=166.666666667*x       - we divide both sides of the equation by (166.666666667) to get x

100/166.666666667=x

0.6=x

x=0.6

now we have:

24 is 0.6% of 4000

Solve Similar Triangles (advanced)

Solve for x!

PLEASE HELP!!

Answers

Answer:

13.5

Step-by-step explanation:

The two triangles are similar

According to the question

The equation is

⅔=11/x+3

2x+6=33

2x=27

x=13.5

Using the sum of the angle measures of a triangle, m angleC=?

Answers

Answer:

m∠C = 66°

Step-by-step explanation:

Given

m∠ A = 33°

m∠ B = 81°

To determine

m∠C = ?

We know that sum of angles of a triangle is 180°.

so using the equation

m∠ A + m∠ B +  m∠C = 180°

substituting m∠ A = 33°, and m∠ B = 81° in the equatio

33° + 81°+m∠C= 180°

114° + m∠C = 180°

m∠C = 180° - 114°

m∠C = 66°

Therefore,

m∠C = 66°

plz awnser i dont know

Answers

Answer:

Question 1. 1/2 hour

Question 2. 1/6

Question 3. 5/12 eggs

find the equation of a line whose intercepts on the x-axis is -2 and parallel to 2y + x - 1=0​

Answers

Answer:

y = -1/2x-1 would have a x-intercept of -2 when graphed!

Find each measure.
10. RT=
11 AB=
12 HJ=
13. EH=
14. m 15. m

Answers

Hi make sure u try ur best because u gunna be successful I promise you so don’t give up please
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