What is the value of x in the triangle?

a 45-45-90 triangle with a leg of length 12 times the square root of 2 and hypotenuse of length x

A.

B.

C.

D.

Answers

Answer 1

Answer:

x = 24

Step-by-step explanation:

A 45- 45- 90 triangle is isosceles ( base angles congruent )

The the legs are congruent , both 12[tex]\sqrt{2}[/tex]

Using Pythagoras' identity in the right triangle , then

x² = (12[tex]\sqrt{2}[/tex] )² + (12[tex]\sqrt{2}[/tex] )² = 288 + 288 = 576 ( take square root of both sides )

x = [tex]\sqrt{576}[/tex] = 24

Answer 2

The value of x in the given triangle is 24 units.

What is Pythagoras theorem?

The Pythagorean theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Given that, a 45-45-90 triangle with a leg of length 12 times the square root of 2 and hypotenuse of length x

Let the triangle be ABC, right-angled at B,

Using the Pythagoras theorem, we get,

AB²+BC² = AC²

(12√2)²+(12√2)² = x²

288+288 = x²

x² = 576

x = √576

x = 24

Hence, the length of the hypotenuse is 24 units.

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Related Questions

A horse runs 800 meters in 32.0 seconds.

What is the average speed of the horse during this time?

Answers

800 divided by 32=25m/s i think honestly i forgot lol

Choose the expression that represents the fraction one seventh.
Question 1 options:

1 ÷ 17

7 ÷ 1

17 ÷ 1

1 ÷ 7

Answers

Answer:

1 ÷ 7

Step-by-step explanation:

A fraction represents a division with the numerator divided by the denominator, then

[tex]\frac{1}{7}[/tex] ≡ 1 ÷ 7

someone plzz help me understand this i am so confused

Answers

Answer:

XA = 9

AY = 9

XY = 18

Step-by-step explanation:

hope this helps!!

1) What is the value of x 4 for x = 57
A) 14
B) 21
C) 29
D) 41
Find the value of the expression

Answers

What is that actual equation

How should the decimal point in 34.05 be moved to determine the product 34.05×106?
Enter your answers in the boxes to correctly complete this statement.
The decimal point should be moved _ Places to the right because there are _
zeros in 10 6

Answers

Answer:

5

Step-by-step explanation:

34.05

34.05 x 10 to the power of six = 3405000

decimal point needs to move 5 places to go after the last zero

Write the number for eleven thousand one hundred five.

Answers

Answer:

11,105

Step-by-step explanation:

10,000

1,000

100

00

5

pls give brainliest.

Which method would prove the quadrilateral is a parallelogram?

Answers

Answer: showing that the opposite angles of a quadrilateral are congruent or that the consecutive angles of a quadrilateral are supplementary So i think it should be B

Step-by-step explanation:

The method that would that the quadrilateral is a parallelogram is that: (d) one pair of parallel sides is both parallel and congruent

A parallelogram is a quadrilateral that has parallel and congruent opposite sides

From the figure, we have the following highlights:

Opposite sides are congruentOpposite sides are parallel

This means that the method that would that the quadrilateral is a parallelogram is that: (d) one pair of parallel sides is both parallel and congruent

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Find an expression equivalent to the one shown below. (3⁴)5 ÷ 3⁵ OA. 3¹⁵ OB. 3⁴ OC. 3²⁵ OD. 12​

Answers

Hey there!

(3^4)^(5) ÷ 3^5


3^4(5)

= 3^20

= 3,486,784,401

3^5

= 3 * 3 * 3 * 3 * 3

= 9 * 9 * 3

= 81 * 3

= 243


= 3,486,784,401 ÷ 243

= 14,348,907



SIMPLIFY IT!

= 14,348,907

≈ 3^15


Therefore, your answer is: 3^15


Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Explanation:

Let's review three examples of product of exponent rule and dividing of exponent rule before solving the problem.

(a²)³ = a²⁽³⁾ = a⁶{[(b³)⁵}⁷] = b³⁽⁵⁾⁽⁷⁾ = b¹⁰⁵(a²) ÷ a = a²⁻¹ = a

Looking at these examples, we can tell that we can multiply exponents and subtract exponents. These rules are applied in this question. Now, let's solve the question to obtain our answer.

Solution:

(3⁴)⁵ ÷ 3⁵=> 3⁴⁽⁵⁾ ÷ 3⁵=> 3²⁰ ÷ 3⁵=> 3²⁰⁻⁵=> 3¹⁵

Final Answer:

3¹⁵ or Option A

Please help me solve the equation in the picture I have to get it done soon!

Answers

Answer:

square root of 5 squared minus 4 squared

Step-by-step explanation:

a^2 + b^2 = c^2

c^2 - b^2 = a^2

5^2 - 4^2 = a^2

25 - 16 = a^2

9          = a^2

√9=a

a=3

or

a=  √25-16

a= √9

a=3

Hope this helps!

Need work for problems I already know the answers

Answers

Don’t take this comment seriously

Bobby can run a mile in 7 minutes. Use the ratio table to help determine how
many miles he can run in 28 minutes.

Answers

Answer:

4 miles

Step-by-step explanation:

In 7 minutes he runs 1 mile

So in 28 minutes he runs 4 miles

How did I get this answer?

7×4=28

So 1×4=4

In ratios, when you times anything by something, you must do the same to the other part of the ratio.

Answer:

Hello there! The answer to this problem is that Bobby can run 4 miles in 28 minutes. If Bobby runs 1 mile in 7 minutes, we will have a table with two columns. On the left, we will have the number of miles, and on the right we will have the number of minutes.

miles - minutes

1 - 7

2 - 14

3 - 21

4 - 28

As the number of miles increases by 1, the number of minutes increases by 7. This is a ratio of 1:7. If it takes Bobby 7 minutes to run a mile, it makes sense that it will take him 28 minutes to run 4 miles because 28/7 = 4.

Hope this helps! Have a great day - Mani :)

(If right ill mark brainliest) Please help! Thanks

Answers

The answer is Option 2. 2(4x^2 -x+2) = 8x^2 - 2x + 4. 2(5x+3) = 10x+6. 8x^2 - 2x + 4 + 10x-6 = 8x^2 + 8x + 2. Please mark me brainiest

solve pls brainliest

Answers

Answer:

1.8 or 1 4/5 should be the answer!

She went up 2 steps, and each step is 9/10 feet high.

2 x 9/10 = 18 / 10

18 / 10 = 1 8/10

1 8/10 = 1 4/5

Answer: 1 4/5 feet

Hope this helps!

Need help it’s easy and quick points please

Answers

Answer:

j=35

Step-by-step explanation:

Since the shorter side has a length of 60 the other shorter side also has a length of 60 and the whole rectangle's perimeter is 400 if you add the shorter sides you get 120 to find the total length of the longer sides we have to subtract 400 by 120 and by doing that we get 280 so the total length of the longer sides is 280 and since there are 2 sides we have to divide 280 by 2 and we get 140 but, j *4 is 140 and we still have to find j so we divide 140 by 4 to get 35 and thus j=35

pls mark braineliest if helpful

John multiplied 400,000 by 7,800 on his calculator. He got the result shown on his calculator display. What is this number in standard form?

giving brainiest

Answers

Answer:

Its D.

Step-by-step explanation:

Schmack me wit da brainliest

The result of John's multiplication in standard form is

3.12 × 10⁹

To express the result in standard form, we need to represent it as a number between 1 and 10 (inclusive) multiplied by a power of 10.

In other words, the number should have the form:

a × 10ⁿ

where "a" is a decimal number greater than or equal to 1 and less than 10, and "n" is an integer representing the power of 10.

Let's calculate the result of John's multiplication:

= 400,000 × 7,800

= 3,120,000,000

Now, we need to convert this number into standard form. To do that, we will move the decimal point to the left until there is only one non-zero digit to the left of the decimal point.

The number of places we move the decimal point will give us the power of 10.

In this case, we will move the decimal point three places to the left:

3.120000000 × 10⁹

Now, we can simplify the number by removing trailing zeros:

3.12 × 10⁹

So, the result of John's multiplication in standard form is

3.12 × 10⁹

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which of the numbers 285,627,5490,7295,43695 are divisible by 5 but not by 3

Answers

Answer:

7295

Step-by-step explanation:

The first thing we can do is rule out any numbers that cannot be divided by 5. Any number that ends in a 0 or a 5 can, so 627 cannot be. The next thing we do is use the division rule for dividing by 3. The rule states that if you add up the digits of a number, and it is divisible by 3, then so is that number.

2+8+5= 15 (multiple of 3)

5+4+9+0=18 (multiple of 3)

7+2+9+5=23 (not a multiple of 3)

4+3+6+9+5=27 (multiple of 3)

Hope you have a great day!

2. What is 5 percent of 700?

Answers

Answer:

35

Step-by-step explanation:

700 / 100 = 7

7 = 1%

7 x 5 = 35

35 = 5%

Answer:

35

Step-by-step explanation:

A grocer stacks apples in a pyramid-like stack whose rectangular base is 7 apples by 8 apples. Each apple above the first level rests in a pocket formed by four apples below. The stack is completed by a single row of apples. How many apples are in the stack?

Answers

Answer:  168

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

Explanation:

If there are n apples in a straight line, then there are n-1 gaps between the adjacent apples.

Having 8 apples will have 8-1 = 7 gaps between the apples.

Similarly, having 7 apples will have 7-1 = 6 gaps between those apples.

The 8 by 7 rectangle in the bottom level will have a 7 by 6 rectangle on the second level. The third level will have a 6 by 5 rectangle, and so on.

Here's a table to keep track of everything

[tex]\begin{array}{|c|c|c|} \cline{1-3}\text{Level} & \text{Dimensions} & \text{Number of apples}\\ \cline{1-3}\text{1} & \text{8 by 7} & \text{56}\\ \cline{1-3}\text{2} & \text{7 by 6} & \text{42}\\ \cline{1-3}\text{3} & \text{6 by 5} & \text{30}\\ \cline{1-3}\text{4} & \text{5 by 4} & \text{20}\\ \cline{1-3}\text{5} & \text{4 by 3} & \text{12}\\ \cline{1-3}\text{6} & \text{3 by 2} & \text{6}\\ \cline{1-3}\text{7} & \text{2 by 1} & \text{2}\\ \cline{1-3}\end{array}[/tex]

The last step is to add up everything in the third column

56 + 42 + 30 + 20 + 12 + 6 + 2 = 168 apples total

What is a phrase for the algebraic expression 4+x?

Answers

Answer:

hope this will help you

Step-by-step explanation:

if it doesn't mention me

If you earn $634.38 for a 29-hour work week, how much would you earn for a 40-hour work week at the same hourly rate?

Answers

Answer:

you need another variable? because all you gave me was a total

Step-by-step explanation:

all you did was give 3 variables when 4 is needed

Find the value of X
[tex]2x = \frac{74}{2} - 37[/tex]

Ty~​

Answers

The value of  x from the expression is 2

Expression and equation

Given the expression

2x = 74/2 - 37


We are to calculate the value of  x from the expression

2x = 37 - 37

Since 37 - 37 = 0

2x = 0

Divide both sides by 2:

2x/2 = 0/2

x = 0

Hence the value of  x from the expression is 2

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Which angle is an exterior angle of the triangle?
1 2 3 4
L M N

Answers

Answer:

4

Step-by-step explanation:

The exterior angle is number 4...

:)Answer in simplest radical form.(and show work please)

Answers

Answer:

Step-by-step explanation:

Use Pythagorean theorem,

Base² + altitude² =hypotenuse²

x² + 19² = 21²

x² + 361 = 441

         x² = 441 - 361

          x² = 80

          [tex]x =\sqrt{80}=\sqrt{2*2*2*2*5}=2*2*\sqrt{5}=4\sqrt{5}[/tex]

Please help meeeeeeeeeee

Answers

Answer:

Y=4x+6

Step-by-step explanation:

You just find the slope then the y-int and you're done. Hope this helps!

-4 = 10 + n/2 please i will give brainliest

Answers

Answer:

n = -28

Step-by-step explanation:

-4 = 10 + n/2

first step, subtract 10 from each side to get:

-14 = n/2

cross-multiply to get:

n = -28

Answer:

-28

Step-by-step explanation:

-4 = 10 + n/2

-14 = n/2

multiply both sides by 2

-28 = n

What is the volume of a sphere with a radius of 4 cm? Use 3. 14 for pi. Round to the nearest hundredth. 50. 24 cm³ 66. 99 cm³ 200. 96 cm³ 267. 95 cm³.

Answers

The volume of the sphere is 267. 95 cm³.

Given

The radius of the sphere is 4cm.

What is the volume of sphere?

The volume of a sphere is the three-dimensional space occupied by a sphere.

The volume of the sphere is determined by the following formula;

[tex]\rm Volume = \dfrac{4}{3} \pi r^3[/tex]

Where r is the radius of the sphere.

Substitute all the values in the formula;

[tex]\rm Volume = \dfrac{4}{3} \pi r^3\\\\\rm Volume = \dfrac{4}{3} \times (3.14) \times 4^3\\\\Volume = 4 \times 1.04 \times 64\\\\Volume = 267.95\ cm ^3[/tex]

Hence, the volume of the sphere is 267. 95 cm³.

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How many downloads of the standard version were there?

Answers

Answer:

standrad = 220 download

Step-by-step explanation:

x(number of standtrad download) y(number of high quality downloads)

y=3x

4.2y+2.7x=3366

4.2(3x)+2.7x=3366

12.6x+2.7x=3366

15.3x=3366

x=3366/15.3

x=220

y=3(220)=660

(brainliest plz :( )

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS

Answers

Answer:

ZW and FR

Step-by-step explanation:

1. ZX and RF don't match

- One Straight, One Slanted

2. ZX and PR don't match

- One Straight, One Slanted

3. ZW and FR both match

- Both Slanted

4. ZW and FP don't match

- One Straight, One Slanted

It takes 25 men to build a wall in 4 hours . How long does it take 100 men to build the same wall

Answers

Answer:

1 hour

Step-by-step explanation:

100 is 4 times more than 25.

Answer:

1 hours

Step-by-step explanation:

By concept we know it takes a person to complete a job of three person more time. so we shall multiply in this question.

if 25 men takes 4 hours

1 men will take 4 * 25 = 100 hours

100 men takes = ( 100 ÷ 100 ) hours = 1 hours

It takes 1 hours for 100 men to build the same wall.

how do you solve -1x+20 is greater than -7+35

Answers

[tex]\huge\fbox{Hello~there!}[/tex]

Let's solve this inequality!

[tex]\rm{-x+20>-7+35[/tex]

What can we do to solve this inequality? Well, first of all, we can add -7 and 35:

[tex]\rm{-x+20>28[/tex]

Now, move 20 to the right, using the opposite operation:

[tex]\rm{-x>28-20[/tex]

Subtract:

[tex]\rm{-x>8[/tex]

Divide both sides by -1 to isolate x:

[tex]\rm{x<-8}[/tex] (Answer)

_____________

Additional comment

When we divide both sides of an inequality by a negative number, we flip the inequality sign.

____________

I hope you find it helpful.

Feel free to ask if you have any questions.

[tex]\bf{-MistySparkles^**^*[/tex]

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