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

simplify 5^-2
please help me! i don't know how to do it and its due today

Answers

0.04

jndjnwjnc jwnfjnjwfjn jn jnwjnj njnfjbfwhijfkwb jnj nwjnjfjwkf n

If you live in a rectangular city that is 1 mile along the southern border and contains 1000 people, what is the density of people in the city?
Group of answer choices

A. We cannot calculate this value.

B. 1000 people per square mile

C. 1 person per square mile

D. 100 people per square mile

Answers

Answer:

A. We cannot calculate this value.

Step-by-step explanation:

Had it on my test c:

We cannot calculate this value because the width is not given so we cannot find the area of the region option (A) is correct.

What is population density?

It is defined as the ratio of the population to the total area. The population density represents the average number of people living on each square unit.

We have:

If you live in a rectangular city that is 1 mile along the southern border and contains 1000 people,

As we know,

population density = number of people/area of the region

As we have a rectangular city,

The area of the city = length×width

Width is not given so we cannot find the area of the region.

Thus, we cannot calculate this value because the width is not given so we cannot find the area of the region option (A) is correct.

Learn more about the population density here:

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Azlyn can ride her horse 15.2 miles per hour. She is in an endurance race that is 76 miles
long! How long should this race take her to complete?

Answers

Step-by-step explanation:

Remember, math is a language

when you see per think fractions

15.2 miles per hour = 15.2 miles / 1 hour

since this is a fraction, Units can cancel just like numbers

To cancel miles and be left with hours rearrange the fraction

1 hour / 15.2 miles

then multiply by 72 miles

[tex] \frac{1hour}{15.2miles} \times 72miles[/tex]

the miles cancel and youre left with hours!

so youd write and solve 72 / 15.2

Molly and her friends just dined at a restaurant and left a tip of $20.54, which was equal to exactly 30% of the total bill. What was the total bill in dollars? Round your answer to two decimal places.

Answers

Answer:

68.47

Step-by-step explanation:

30%=0.3

20.54/0.3=68.4666……

Which statement describes the linear graph

Answers

Answer:

B.

Step-by-step explanation:

HELP ME PLEASEESWSAS

Solve the following equation for x.
2 + x^2 = 47
6.7
b. 7
22.5
d. 47

Answers

Answer:

6.7

Step-by-step explanation:

x² = 45

x = 6.7

is the answer

The correct one is A hopes this helps!


Please help me this is due tomorrow thank you

Answers

Answer:

The answer is option B.

Step-by-step explanation:

Answer: D

Step-by-step explanation:

The histogram shows driving to work so A even though it looks like it may fit there is no way to assume they don’t drive at all

Hope this helps

What is the area of a rectangle whose side lengths are o and g?

Answers

Answer:

Area=Base length x Height

Area= O x g.

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP Which statement would be LEAST LIKELY to occur based on the probability?

Answers

Answer:

i believe the answer is 1/9, sry if im wrong

Step-by-step explanation:

 

Use the equation below to find c, if a = 39 and b= 27.
c=180-a-b
c=0
X
5 ?

Answers

Answer:

the answer is 114

Step-by-step explanation:

heya heya heya math question please
thanks in advance :')

Answers

The answer is B because 1 is equivalent to 8/8

I need help with this question

Answers

-3 -12 -5 in that order

Answer:

-3

-12

-33

Step-by-step explanation:

sorry if i m wrong.

Select the correct answer from the drop-down menu.
Consider this system of linear equations:
y- x= -13
-4x + 3y = -51
The solution of the system of equations is
Reset
Next

Answers

Answer:

y - x= - 13   -------(1)

- 4x + 3y = -51 -------(2)

(1) => y = - 13 + x

Substitute y in (2)

- 4x + 3( - 13 + x) = -51

- 4x - 39 + 3x = -51

- x = -51 + 39

- x = -12

x = 12

Substitute x in (1)

y = - 13 + x = -13 + 12 = - 1

x = 12, y = -1

4 – (3 – 5) =

Possible Answers:
A. -4
B. -2
C. 6
D. 12

Answers

Answer:

6

Step-by-step explanation:

4 – (3 – 5) =

PEMDAS says parentheses first

4 – (-2) =

Subtracting a negative is like adding

4 +2

6

Answer:

2-

Step-by-step explanation:

.....................................................................

A cone has a height of 10 millimeters and a radius of 6 millimeters. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:[tex]376.80\ mm^3[/tex]

Step-by-step explanation:

Given

The height of the cone is [tex]h=10\ mm[/tex]

The radius of the cone is [tex]r=6\ mm[/tex]

Volume of cone is given by

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Insert the values

[tex]\Rightarrow V=\dfrac{1}{3}\times 3.14\times 6^2\times 10\\\\\Rightarrow V=376.80\ mm^3[/tex]

Thus, the volume of the cone is [tex]376.80\ mm^3[/tex]

when the crispy rice treats cool, mrs.williams cuts them into 30 equal pieces. she gives two-fifths of the treats will mrs.willimas take to school.

a. 18 treats

a. 19 treats

c. 14 treats

d. 16 treats

Answers

16 total treats is what she will take to school

Answer:

18 treats

Step-by-step explanation:

If she gives  2/5  of 30  = 12

so 3/5 of 30 is 18  (also 30-12 =18)

On selling an article for Rs 2300, a shopkeeper made a profit of 15 %. find the cost price of the article.

Answers

Answer:

Step-by-step explanation:

Sp of an article= Rs 2300

profit%=15%

let Cost Price of an article be X

SP=CP+PROFIT %*CP

2300=X+15/100*X

2300=100X+15X/100

2300*100=115X

230000/115=X

2000=X

Therefore cost price of an article is Rs 2000.

what is 10^x=1/100?
solve for x

Answers

Answer:

10^x=1/100

10^x=10^-10

x=-10

Step-by-step explanation:

what is the domain of the relation enter each value on the same line separated by commas. consider the relation { (9,1), (4,5), (6,2), (8,6), (1,2)}

Answers

Answer:

D = {1, 4, 6, 8, 9}

Step-by-step explanation:

A relationship maps elements from a set (the domain, the set of the inputs) into elements from another set (the range, set of the outputs).

Such that the usual notation is: (x, y)

this says that the relationship maps the element x into the element y.

In this case, we have the relation:

" { (9,1), (4,5), (6,2), (8,6), (1,2)}"

The inputs are the first value for each pair, then the set of the inputs (also called the domain) is:

D = {9, 4, 6, 8, 1}

And we can rewrite this in order to get:

D = {1, 4, 6, 8, 9}

A hockey goalie got shot on 18 times . She saved 10 of the shots . Which ratio represents the amount of shots that went in to the amount of shots she saved ?

Answers

Answer is   4:5

========================================================

Explanation:

She saved 10 shots out of 18 total, so that means 18-10 = 8 shots went in.

That forms the ratio 8:10 where we list the amount of shots that went in, followed by a colon, then the amount of shots that were saved. The order is important. From here, we divide both parts of the ratio by 2. The ratio 8:10 fully reduces to 4:5

Effectively, this means that for every 4 shots that went in, there were 5 shots that were blocked.

4:5

Saved shots: 10
Shot in: 8
8:10 -> 4:5 (simplified)

Jennifer invested $400 at 6% interest compounded continuously. Write a model m(t) that represents the money in Jennifer's account in t years. A. B. How much money is in Jennifer's account after 5 years? Round to the nearest cent. C. Approximately when will Jennifer have $800 in her account? Round to the nearest tenth of a year.

Answers

Answer:

11.5 years

Step-by-step explanation:

Given data

Principal= $400

Rate= 6%

For the compound interest at time t, the expression is given as

A= P(1+r)^t

Substitute

A= 400(1+0.06)^t

A=400(1.06)^t

B. How much money is in Jennifer's account after 5 years

put t= 5

A=400(1.06)^5

A=400*1.338

A=$535.2

C. Approximately when will Jennifer have $800 in her account

A=$800

P=$400

r=6%

t= ln(A/P)/r

t= ln(800/400)/0.06

t= ln(2)/0.06

t= 0.6931/0.06

t=11.551

Hence the time is about 11.5 years

The value of which of these expressions is closest to e?

Answers

The answer is B because e is 2.17

Answer:

the answer is D

Step-by-step explanation:

Got it wrong on the A*pex test D is the correct answer

1+(1/30)30

Please help me!
Find the indicated sum for each sequence.


S9 of –9, 36, –144, 576, ...

Answers

Answer:

the answer is to multliply it by -4

please answer this question​

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

[tex]\frac{3}{7}[/tex] a × - [tex]\frac{21}{15}[/tex] b ( cancel 3 and 15 and 7 and 21 )

= a × - [tex]\frac{3}{5}[/tex] b

= - [tex]\frac{3}{5}[/tex] ab

(b)

3xy(5x²y² - 4yz) ← multiply each term in the parenthesis by 3xy

= 15x³y³ - 12xy²z

Solve -2y+1=y-5

Y=6

Y=-6

Y=-2

Y=3

Answers

Answer:

y=2

Step-by-step explanation:

-2y+1=y-5

Add 2y to each side

-2y+2y+1=y+2y-5

1 = 3y -5

Add 5 to each side

1+5 = 3y-5+5

6 = 3y

Divide each side by 3

6/3 = 3y/3

2 =y

Answer:

y=2

Step-by-step explanation:

Move y to the other side by subtracting by y on both sides:

-y-2y+1=y-y-5

-3y+1=-5

Move the 1 to the other side by subtracting by 1 on both sides:

-3y+1-1=-5-1

-3y=-6

Divide -3 on both sides to eliminate the -3 on y

-3y/-3=-6/-3

y=2

Two odd numbers are selected at random from integers 11 through 22. Find the
probability that the two numbers are multiples of 3 after replacing first? JUST
SHOW MATH!*

Answers

I mean the answer is 34 sorry for the mistake

Probability  that the two numbers are multiples of 3 after replacing first

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

The odd integers from11 to 22 are

11,13,15,17,19,21

So there are 6 events

Out of these 6 numbers, 2 numbers (15,21) are multiples of 3.

One number out of these 2 numbers can be chosen in 2 ways.

Therefore, favourable number of elementary events = 2.

Required probability =2/6=1/3

Hence 1/3 is the probability  that the two numbers are multiples of 3 after replacing first

To learn more on probability click:

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Item 23 Find the sale price. Original price: $50 Discount: 15% Item 23 Find the sale price. Original price: $50 Discount: 15%

Answers

Answer:

$42.50

Step-by-step explanation:

discount reduces the price of the good

discount value = 15% x 50 = 0.15 x 50 = 7.5

sales price = 50 - 7.5 = 42.50

A basket of carrots can be finished by 10 rabbits in 6 days. In how many days the basket will be
empty if 15 rabbits eat the carrots.

Answers

Answer:

7 or 8 days

Step-by-step explanation:

The answers is correct ⬆️

pleaseeeee helppppp!!!!! I have to turn this in...!!!

Answers

hope this helps ---------

What is the surface area, in square centimeters, of the square pyramid?
Winner gets brainliest!!!!!!!!!

1. 27
2. 56
3. 40
4. 80

Answers

Answer:

2.) 56

Step-by-step explanation:

(5 x 4) ÷ 2 = 10

10 x 4 = 40

4 x 4 = 16

40 + 16 = 56

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