Find the exact value of x.

Find The Exact Value Of X.

Answers

Answer 1

Answer:

by using Pythagoras law

x²=30²+16²

x²=1156

x=√1156=34is the exact value of x

Answer 2
use the pythagorean theorem to find x, or the missing side, or the hypotenuse (a^2 + b^2 = c^2). Plug in the given values, and get 16^2 + 30^2=c^2 (you can also label it as x^2 instead of c^2). Simplify, and get 256+900=c^2. Simplify and get c^2=1156. Find the square root of that. the final answer is c or x = 34.

Related Questions

Which property is used to write the equivalent expressions below? (2x7) x3=2x (7x3)

Answers

Answer:

Associative Property of Multiplication

Step-by-step explanation:

The Associative Property of Multiplication states that the answer to an equation will stay the same even if the grouping of the numbers changes.

Answer:

9

Step-by-step explanation:9x5

Can someone please help me out on this one math problem you will get double the points if you help me, I will also give you the brain thing. Please actually help not just takes the points.
•Suppose a car is traveling southwest on King Avenue and turns left onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer. (2 pts.)

Answers

Answer:

answer should be 105 degrees.

Step-by-step explanation:

this is becuase the 75 degree angle given creates a 105 degree angle to its left. and the car turning left onto 3rd street would be a corresponding angle to the 105 degree angle on the top. sorry if its confusing, but the answer is 105 degrees. hope it helps

Answer:The angle formed by turning from traveling southwest on King Avenue to 3rd street is a corresponding angle to the 75° angle. This means its measure is 75°. here is your answer!

Step-by-step explanation:

I'm stuck on this, does anyone know the solution?
The question is:
Calculate (2p - 4q) 2 when p= - 8 and q = - 3.​

Answers

Answer:

-14 or -28

Step-by-step explanation:

2x-8=-16

4x-3=-12

-16-12=28

-16-(-12)=-14

(i would go with -14)

Please help......... please

Answers

Answer:

Step-by-step explanation:

2x + 4 = 2(x + 2)

[tex]Area = \frac{1}{2}*b*h\\\\=\frac{1}{2}*(2x-1)(2x + 4)\\\\\\= \frac{1}{2}*(2x - 1)*2*(x + 2)\\\\= (2x -1)(x+ 2)[/tex]

= 2x *x + 2x* 2  + x*(-1) + 2*(-1)

= 2x² + 4x - x - 2

= 2x² + 3x - 2

A drink is made by mixing 650 ml of water with 150 ml of fruit juice.

What percentage of the drink is fruit juice?

can you please reply quickly?

Answers

○=> Correct answer :

[tex]\boxed{\color{hotpink}\tt18.75\%} [/tex] of the drink is fruit juice

○=> Steps to derive correct answer :

Quantity of water in a drink = 650 ml

Quantity of fruit juice in a drink = 150 ml

Total quantity of both items in the drink :

[tex] =\tt 650 + 150[/tex]

[tex] \color{plum}=\tt 800 \: ml[/tex]

Thus, the total quantity of both items in the drink = 800 ml

Let the percentage of of fruit juice in the drink be x%.

Which means :

[tex] = \tt\frac{x}{100} \times 800 = 150[/tex]

[tex] = \tt \frac{x \times 800}{100} = 150[/tex]

[tex] =\tt \frac{800x}{100} = 150[/tex]

[tex] =\tt 8x = 150[/tex]

[tex] =\tt x = \frac{150}{8} [/tex]

[tex]\hookrightarrow\color{plum} \bold{x = 18.75\%}[/tex]

Then, the percentage of water in the drink :

[tex] = \tt100 - 18.75[/tex]

[tex] \color{plum}= \tt81.25\%[/tex]

Thus, the percentage of water in the drink = 81.25%

○=> Therefore :

▪︎Percentage of fruit juice in the drink = 18.75%

▪︎Percentage of water in the drink = 81.75%

18.75% is fruit juice

Mr Thompson, This is my homework! Please help.

Answers

Problem 1

ax^2+bx+c is standard form(x+p)(x+q) is factored form

There's not much to say about these. You'll just have to memorize the terms. Note with standard form that the exponents decrease as you move from left to right (2,1,0).

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

Problem 2

Other names for zeros are:

A) x interceptsD) solutions

The term "root" is also applicable here.

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

Problem 3

We set each piece equal to 0 and solve for x. This is the zero product property

f(x) = (x-2)(x+4)

0 = (x-2)(x+4)

(x-2)(x+4) = 0

x-2 = 0 or x+4 = 0

x = 2 or x = -4

The two x intercepts are located at (2,0) and (-4,0)

Answer: Choice C

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

Problem 4

In the last problem, we found the two roots were x = 2 and x = -4

I'll let p = 2 and q = -4.

Average the roots to get (p+q)/2 = (2+(-4))/2 = -2/2 = -1

This is the x coordinate of the vertex. So h = -1

Plug this into the function to find k, which is the y coordinate of the vertex.

k = f(h)

k = f(-1)

k = (-1-2)(-1+4)

k = (-3)(3)

k = -9

The vertex is located at (h,k) = (-1, -9)

This is another way of saying the vertex is when x = -1 and y = -9

Answer: Choice C

Complete the function table for y=2.5x−8 .

Answers

Answer:

x=3.2

Step-by-step explanation:

The value of the function at x =1 is -5.5.

What is a function?

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

Given that the function is y = 2.5x - 8. The value of the function will be calculated as,

At x = 1 the value of y will be,

y = 2.5 x - 8

y = ( 2.5 x 1 ) - 8

y = 2.5 - 8

y = -5.5

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what has the same value as 5% percent of 35?
(Pick 2)

Answers

Answer:

B

Step-by-step explanation:

Of is multiplication, so correct answer is B

Answer:

b, and d

Step-by-step explanation:

5% * 35 = 0.05 * 35 = 5/100 * 35.

Why might algebra tiles not be a good tool to use to factor x2 + 18x + 80? Explain.

Answers

Step-by-step explanation:

Algebra tiles would not be a good tool to use to factor the trinomial because you would need to drag an x-squared tile, 18 x-tiles, and 80 plus tiles. That is a total of 99 tiles. It would take a lot of time to drag that many tiles on the board and there might not be enough space to hold all of them. You would also need to determine how to arrange all those tiles to make a rectangle. Since 80 is a multiple of 10, you might recognize that 10 and 8 are the factors that add to 18, which would give you the values to use in the X method.

There are a lot of tiles to drag onto the board.

You would need to create a rectangle from 99 tiles.

80 is a multiple of 10, so it has factors of 10 and 8, which add to 18.

3. A fisherman caught 6 bluegills and 4 bass. What is the ratio of the number of bass caught to the total number of fish caught?
2 to 5
4 to 6
6 to 10
10 to 4​

Answers

The answer is 2 to 5

Ai Mi went to the store to buy some chicken. The price per pound of the chicken is $3.50 per pound and she has a coupon for $2.50 off the final amount. With the coupon, how much would Ai Mi have to pay to buy 3 pounds of chicken? Also, write an expression for the cost to buy pp pounds of chicken, assuming at least one pound is purchased.

Answers

Answer:

$8 for 3 pounds

cost for p pounds: 3.50p - 2.50

Step-by-step explanation:

Cost of 3 pounds:

Original cost = Cost per pound x 3

= 3.50 x 3

= 10.50

Coupon = 2.50

Final cost = Original cost - Coupon

= 10.50 - 2.50

= $8

Cost of p pounds:

Original cost = Cost per pound x p

= 3.50 x p

= 3.50p

Coupon = 2.50

Final Cost = Original Cost - Coupon

= 3.50p - 2.50

Compute the standard deviation if n = 60, p = 0.4, and the sample size is less than 10% of the population.
A 0.04
B) 0.004
C) 0.002
D) 0.063 ​

Answers

Answer:

c is the correct answer baby

Step-by-step explanation:

How was the government able to make children go to residential school?

PLEASE HELP ME ASAP! DUE TODAY! (functions) (brainliest)

Answers

Answer:

how did you get the graph on here

If a = -2 and b = -4 -3i, then find the value of a b in fully simplified form.​

Answers

Answer:

I'm not so sure but I think it's 6 or 9i

6....................

Please help! Will give brainliest!
Simplify. [tex](3a^{2}*5a^{2})[/tex]

Answers

Answer: 8a

Step-by-step explanation:

Step-by-step explanation:

I can only think of one way to simplify this and it is by taking out the greatest common factor: a². Or by multiplying the two values together so it's only one value.

a²(3*5)

a²(15)

Or...

(3a² * 5a²)

(15a)

(this one is a because a variable with a power multiplied by a variable with a power only adds the powers together)

help asap!!!!!!!!!!!!!!

Answers

Answer:

a

Step-by-step explanation:

Monica estimates the recipe makes about 5 cups of fruit salad. Which explanation describes whether Monica's estimate is reasonable?
A Not reasonable. Four fractions cannot equal more than 4 cups.
B) Not reasonable. The whole numbers add up to 3 so the total sum cannot be 5 cups.
C с Reasonable. The grapes and apples is about 2 cups and pears and oranges is exactly 3 cups.
D Reasonable. The pears and apples is about 3 cups and the grapes and oranges is exactly 2 cups.​

Answers

Answer:

A.

Step-by-step explanation:

Not reasonable, Why did you put that as your answer?

The whole numbers add up to more then 4 cups.

Um número inteiro é expresso por 81:
3^(4 )+3^0. Qual é o oposto ou
simétrico desse número? *
- 2
- 4
-0
-1
- 3​

Answers

Answer:

the opposite and symmetrical of the given number is 2

Step-by-step explanation:

The computation of an opposite and symmetrical of the given number is shown below:

81:3^4 + 3^0

81:81+1

1 + 1

= 2

Hence, the opposite and symmetrical of the given number is 2

25. The heights of three-year-old boys are Normally distributed with a mean of

96 cm. and a standard deviation of 4.5 cm. What is the standard score for a

three-year-old boy who is 99.5 cm tall?

(a)-1.29

(b) -0.67

(c) 0.67

(d) 0.78

(e) 1.29

What is the score?

Answers

1.29 just add them your welcome

PLS HELP ME FIND THE MAD, MADIAN, RANGE AND IQR OF THIS DATA SET.

Answers

Answer:

The median is 6. The Mean Absolute Deviation is 1.88. The range is 10. I believe the IQR is 5.

Step-by-step explanation:

the median is just the number that falls in the center of a data set. The Mean Absolute Deviation is the distance of the data points from the mean. So, find the sum of the differences of each data point from the mean and divide it by the number of data points. Range is the difference between the smallest and largest values in a data set. The interquartile range is the middle of the data.  it is a measure of how widely the middle half of the data is spread around the median.

Answer:

the median is 6, range is 10, the iqr is 6 and the MAD is 1.9378698224852

Step-by-step explanation:

Range

10 - 0 = 10

IQR

median/2

6/2=3

6+3=9 6-3=3

9-3=6

Median

put numbers in ascending order

04445555555566678888899101010

find centre number

6

Please help me with trigonometry and law of sines I’m being timed and really need the help

Answers

Step-by-step explanation:

cosA = AC² + BC²- AB² / 2 • AC • BC

cos A = 13.5²+23.9²-12.7²/2• 13.5 • 23.9

An arithmetic sequence has a 2nd term equal to 3 and 10th term equal to -13.
Find the term of the sequence that has value -93?​

Answers

Answer:

n = 50

Step-by-step explanation:

Let a be the first term and d be the common difference.

An arithmetic sequence has a 2nd term equal to 3 and 10th term equal to -13.

[tex]a_n=a+(n-1)d[/tex]

According to the given condition,

[tex]a_2=3\\\\a_{10}=-13[/tex]

or

[tex]a+(2-1)d=3\\\\a+d=3\ ...(1)\\\\a+(10-1)d=-13\\\\a+9d=-13\ ...(2)[/tex]

Subtract equation (1) from (2).

a+9d-(a+d) = -13-3

8d = -16

d = -2

Put the value of d in equation (1).

a+(-2) = 3

a = 3+2

a = 5

Now,

[tex]a+(n-1)d = -93\\\\5+(n-1)(-2)=-93\\\\5-2n+2=-93\\\\7+93=2n\\\\2n=100\\\\n=50[/tex]

So, 50th term has the value of -93.

The manufacturer's price for a cooler is $28.50. A camping store that buys the coolers sells them for $40.76. What is the approximate percent of increase in the price of the coolers?

Answers

Answer:

43%

Step-by-step explanation:

(40.76 - 28.50) / 28.5 = .43 or 43%

Sarah has four friends. Lauren is 1.54m tall, Sophie is 1.50m tall, Kristy is 1.52m tall and Natalie is 1.49m tall. If they all stood on top of eachother how high would theybe?

Answers

Answer:

It would be 6.05m tall.

WILL MARK BRAINLIEST!! Mr. Brown uses a modern technological machine to till his lands and perform tasks that require high power. This machine has a GDP for navigation purposes and auto-steer systems that minimize Mr. Brown’s work on his field. Which machine is Mr. Brown using?

1. seed drill
2. combine harvester
3. GIS
4. tractor
5. electric motor

Answers

It is 2, I don’t specialize in this type of thing but based on logic, memory, and of course the web, I think it is combine harvester. Seed drill isn’t for tilling, Gis is to look at the geology of the land, a tractor just isn’t it and an electric motor by itself can’t do anything. Hope it helps and have a good /

A 8-kg load stretches an elastic belt 0.02 m. How much will a 12-kg load stretch the belt?

Answers

Answer:

A 12-kg load stretches an elastic the belt 0.03m

Step-by-step explanation:

we know A 8-kg load stretches an elastic belt 0.02 m.

=> 0.02 / 8 = 0.0025

so A 1-kg load can stretch an elastic belt 0.02 m.

=> 12 * 0.0025 = 0.03 m

A 12-kg load stretches an elastic the belt 0.03m

A boy arrived at school at 8:15am if he stayed in the school for 4 hours 20 minutes when did he leave

Answers

Answer:

12:35

Step-by-step explanation:

The boy left school at time 12:15 pm.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

To find out when the boy left school, we need to add 4 hours and 20 minutes to the time he arrived at school.

To add minutes, we need to make sure both times are in the same format. Let's convert the arrival time of 8:15 am to minutes:

So,

8:15am = 8 x 60 + 15 = 495 minutes

Now we can add 4 hours and 20 minutes:

495 + 4 x 60 + 20 = 735 minutes

So the boy left school at 735 minutes after midnight.

To convert this back to a time, we can divide by 60 to get the number of hours and minutes:

735 minutes / 60

= 12 hours (with 15 minutes remaining)

Therefore,

The boy left school at time 12:15 pm.

Learn more about unit conversion here:

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A book store sells used
books.

Paperback books cost $1.00.

Hardback books sell for $5.00.

The store sold 100 books and made $260 from the sale.

How many paperback books did the store sell?
Α. 20
В. 40
C. 60
D. 80

Answers

Answer:

The correct answer is C

Positive

Vika can run a mile in 15 minutes, Sandy can run 3
miles in 30 minutes, and Hyun can run 4 miles in
28 minutes. Who can run the fastest mile?

Answers

Answer:

Hyun

Step-by-step explanation:

Vika: 1= 15 minutes

Sandy: 1= 10 minutes

Hyun: 1= 7 minutes

Answer:

Hyun

Step-by-step explanation:

Vika: 1= 15 minutes

Sandy: 1= 10 minutes

Hyun: 1= 7 minutes

find the volume of cuboid
meausring 19 cm by 15 cm by 10 cm.​

Answers

the volume is 2,850 because 19•15•10 is 2850
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