Find the length of the hypotenuse. Round your answer to the nearest hundredth. *
Captionless Image
11.00
9.95
8.06
3.32
None of the above

Find The Length Of The Hypotenuse. Round Your Answer To The Nearest Hundredth. *Captionless Image11.009.958.063.32None

Answers

Answer 1

Answer:

c = 8.06

Step-by-step explanation:

Use the Pythagorean theorem.

a^2 + b^2 = c^2

c^2 = a^2 + b^2

c^2 = 4^2 + 7^2

c^2 = 16 + 49

c^2 = 65

c = sqrt(65)

c = 8.06


Related Questions

If you toss a coin 4 times, what is the probability of landing heads, heads, tails, heads and then heads?

Answers

50 percent chance for either one

Answer: 0%

Step-by-step explanation:

if you toss a coin 4 times you cant get 5 results.

A 10-foot ladder leans against the side of a house with its base 2.2 feet from the house. Use the Pythagorean Theorem to approximate how high the ladder reaches up the side of the house. Round your answer to the nearest hundredth. The ladder reaches feet high.

Answers

Answer:

Ladder reaches 9.76 high.

Step-by-step explanation:

From the figure attached,

Ac is the ladder which reaches at the point A when leans against the side of a house.

Length of the ladder = 10 feet

Distance of the ladder form the base of a house = 2.2 ft

By Pythagoras theorem,

AC² = AB² + BC²

(10)² = h² + (2.2)²

h² = 100 - 4.84

h = √95.16

h = 9.755 feet

  ≈ 9.76 feet

Therefore, the ladder reaches the 9.76 high.

The answer is 9.7 feet

Which of the following is equal to the rational expression when x*-2 or 3?
X^2 +5x+6/X^2-X-6

Answers

Answer:

i am very sorry but i am trying to solve it so wait a few minutes please

Step-by-step explanation:

Answer: D

x+3/x-3

Step-by-step explanation:

The price of an item has been reduced by 70%. The original price was $31. What is the price of the item now?

Answers

Answer:

$9.3 dollars.

Step-by-step explanation:

To solve this question, you will need to begin by finding the percentage left of the original value:

100%-70%= 30% left.

Now, to find the exact value of the discounted item, you will solve for 30% (0.3) of $31:

0.3×31= $9.3 dollars.

PLEASE HELP I need an explanation please if not thanks anyway

Answers

Answer:

V = 24 mi^3

Step-by-step explanation:

The volume is given by

V = l*w*h

V = 4*3*2

V = 24 mi^3

11. The measure of an angle formed by two tangents to a circle is 90. If the radius of the circle
is 8 centimeters, how far is the vertex of the angle from the center of the circle?

Answers

Vertex of the angle is 11.31 cm far from the center of the circle.

     Given in the question,

Measure of angle formed by two tangents of the circle (∠PVQ) = 90°Measure of the radius (OP)= 8 cm

In ΔOPV and ΔOQV,

OP ≅ OQ (Radii of the circle)

PV ≅ QV (Tangents from a point outside the circle)

OV ≅ OV (Reflexive property)

ΔOPV ≅ ΔOQV (SSS property of congruence)

Therefore, m∠PVO = m∠QVO = 45°

By triangle sum theorem,

m∠POV + m∠PVO + m∠OPV = 180°

m∠POV + 45° + 90° = 180°

m∠POV = 45°

Hence, ΔOPV is an isosceles triangle.

OP = PV = 8 cm

By applying Pythagoras theorem in ΔOPV.

OV² = OP² + PV²

OV² = 8² + 8²

OV = √128

OV = 11.31 cm

   Therefore, vertex V is 11.31 cm from the center of the circle.

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Final answer:

The distance from the vertex of the angle to the center of the circle is 0 centimeters.

Explanation:

In this problem, we have two tangents to a circle, and we are given that the angle between them is 90 degrees. We need to find the distance from the vertex of the angle to the center of the circle.

Since the angle between the tangents is 90 degrees, the tangents are perpendicular to each other. This means that the vertex of the angle is located on the circumference of the circle, and it forms a right triangle with the center of the circle and one of the points where the tangents intersect the circle.

Using the Pythagorean theorem, we can find the distance from the vertex to the center of the circle. Let's call this distance x. We know that the radius of the circle is 8 centimeters, so one leg of the right triangle is 8 centimeters. The other leg is x centimeters, and the hypotenuse is the radius of the circle plus x centimeters.

Applying the Pythagorean theorem, we have:

x^2 + 8^2 = (8 + x)^2

Simplifying the equation, we get:

x^2 + 64 = 64 + 16x + x^2

Cancelling out x^2 terms, we have:

64 = 64 + 16x

Subtracting 64 from both sides, we get:

0 = 16x

Dividing both sides by 16, we get:

x = 0

Since we cannot have a distance of 0, the equation does not have a solution. This means that the vertex of the angle is located at the center of the circle, and the distance is 0 centimeters.

Simplify (3x2 - x + 7) + (6x2-3)

Answers

Answer: [tex]9x^2-x+4[/tex]

Combine Like Terms

[tex]3x^2+-x+7+6x^2+-3\\(3x^2+6x^2)+(-x)+(7+-3)\\9x^2+-x+4[/tex]

The simplified version of the equation is 9x^2-x+4

Evaluate the following
expression if x = 6.
3x​

Answers

Answer:

3x would equal 18 is x was 6

Step-by-step explanation:

x=6

3*6=18

3x would equal 18

If 3x is the expression, and x=6
Then,
Expression = 3 times 6
= 18

Hope this helps :)

PLEASE HELP ME!! LIKE I NEED IT NOW!!
A DJ charges $150 for set-up and transportation, plus $65 per hour to entertain at a party. Which equation represents the relationship between the cost, y (in dollars), and the number of hours, x, for which the DJ is hired?
A DJ charges $150 for set-up and transportation, plus $65 per hour to entertain at a party. Which equation represents the relationship between the cost, y (in dollars), and the number of hours, x, for which the DJ is hired?

A. y= 150+65x
B. y= 65+150x
C. y=215x
D. y=65x


Answers

Answer:

A. y= 150+65x

Step-by-step explanation:

65 is the only number that changes. The 150 will be the same no matter what.

HELP ASAP GIVING BRAINLIST AND A LOT OF POINTS!!!!!

Answers

Tara starts with $20, in which she buys 2 items for d amount. Subtract 2d from the total for your answer.

1) 20 - 2d

To find the average distance, add all the numbers together, and divide by the amount of numbers there are:

3) (t + w)/2

~

chapter 8 question 7
please help wil mark brainlyest

Answers

Answer:

0.72

Step-by-step explanation:

[tex] \cos \: 44 \degree = 0.7193398003 \\ \cos \: 44 \degree =0.72[/tex]

If a rubber chicken driving an automaric driven telsa car went to mc donalds to buy nuggets which costed 6000 dollars a nugget and the chicken brought 3 nuggets, how much did Mr.rubber chicken pay?​

Answers

Answer:

cannibalism

Step-by-step explanation:

Find the surface area

Answers

Use a calculator online

8y - 1-/2 ( 4y - 16)

Answers

Answer:

6y +8

Step-by-step explanation:

8y - 1-/2 ( 4y - 16)

Distribute

8y - 1/2*4y - 1/2 *-16

8y -2y +8

Combine like terms

6y +8

A bag contains yellow marbles and green marbles, 38 in total. The number of yellow marbles is 6 less than 3 times the number of green marbles. How many yellow marbles are there?

Answers

Answer:

3n - 6 = 38

3n -6 + 6 = 38 + 6

3n = 44

3n/3 = 44/3

n = 44/3

Step-by-step explanation:

1. set up the equation (the - affect the 6 not the 3)

2. add 6 to both sides

3. divide both sides by 3 to get n

If you know a length in a scale drawing and its corresponding length in the original drawing, how can you determine the relationship between the areas of the drawings? Explain. (Lesson 13,14 & 15 of module 4)

Answers

Answer:

If the scale factor is represented by , then the area of the scale drawing is [tex]k^{2}[/tex]   times the corresponding area of the  original drawing.

Step-by-step explanation:

If the scale factor is represented by , then the area of the scale drawing is [tex]k^{2}[/tex]   times the corresponding area of the  original drawing.

For example:

Given a scale factor of 25%, would the quotient of the area of the scale drawing to the area of the original  drawing be?

Answer:

The quotient of the areas would be equal to the square of the scale factor. Therefore, the quotient  of the scale drawing to the original in this example would be equal to [tex](\frac{1}{4}) ^{2}[/tex]

Hope it will find you well.

Captain Jessica has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Michael and his merciless band of thieves. The Captain has probability 1 2 2 1 ​ start fraction, 1, divided by, 2, end fraction of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability 1 6 6 1 ​ start fraction, 1, divided by, 6, end fraction. If both fire their cannons at the same time, what is the probability that both the pirate and the Captain hit each other's ships?

Answers

Answer:

1/12

Step-by-step explanation:

If the Captain hits the pirate ship, it won't affect whether she's also hit by the pirate's cannons (and vice-versa), because they both fired at the same time. So, these events are independent.

Since they are independent, in order to get the probability that both the pirate and the Captain hit each other's ships, we just need to multiply together the probability that the captain hits and the probability that the pirate hits.

The probability that the Captain hits is 1/2

The probability that the pirate hits is 1/6

So, the probability that both the pirate and the Captain hit each other's ships is 1/2 * 1/6 = 1/12

Final answer:

The probability that Captain Jessica and the pirate Michael hit each other's ships simultaneously is 0.0835 or 8.35%, calculated by multiplying the individual probabilities of each hitting the other's ship (0.5 for Captain Jessica and approximately 0.167 for the pirate).

Explanation:

To calculate the probability that both Captain Jessica and the pirate Michael hit each other's ships when they fire their cannons at the same time, we must consider each event independently and then multiply the probabilities of the two events since they are independent. Le'ts calculate the combined probability step-by-step.

First, we know that Captain Jessica has a probability of hitting the pirate ship which is ½ or 0.5.

Second, the dread pirate Michael has a probability of hitting the Captain's ship which is ⅙ or approximately 0.167 (1 divided by 6).

Since these are independent events, we multiply the two probabilities to find the combined probability of both events occurring together: 0.5 * 0.167 = 0.0835.

Therefore, the probability that both Captain Jessica and the pirate Michael hit each other's ships simultaneously is 0.0835 or 8.35%.

Ethan borrowed $2,190 for a new dirt bike. He will pay the money back in 3 years with a simple interest rate of 2.5%. How much interest will he pay?

Answers

Answer:

The interest ethan will pay is $164.25

Step-by-step explanation:

To calculate the interest paid by ethan on the borrowed bike using the formula.

Simple Interest = Principal * rate * time/100

Principal =  $2,190, rate = 2.5%, time = 3years

On substitution

SI = [tex]\frac{2190*3*2.5}{100}[/tex]

[tex]SI = \frac{16,425}{100}\\ SI= $164.25[/tex]

The interest ethan will pay is $164.25

Final answer:

Ethan will pay $164.25 in interest for the loan he took for a new dirt bike, calculated using the formula for simple interest (I = PRT) with P as the principal ($2,190), R as the rate (2.5% or 0.025), and T as the time (3 years).

Explanation:

To calculate simple interest, you can use the following formula: I = PRT, where I is the Interest, P is the principal amount (original amount borrowed), R is the interest rate (in decimal form), and T is the time in years. In this case, the principal amount is $2,190, the interest rate is 2.5% or 0.025 as a decimal, and the time is 3 years.

You would then plug these values into the formula to get:

I = 2190 * 0.025 * 3

After calculating that, we would find that Ethan will pay $164.25 in interest.

Learn more about simple interest here:

https://brainly.com/question/32543341

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.

Alec Tomita's savings account statement is shown below. What is his new balance?


Previous Balance


Interest


Deposits


Withdrawals


$568.23


$2.37


$562.32


$874.36




$877.99


$2007.28



$628.56


$258.56

Answers

If the previous balance, Interest, deposits withdrawals and are $568,$2.37, and $562.32.His new balance is $258.56.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that,

Previous Balance=$568.23

Interest=$2.37

Deposits=$562.32

Withdrawals=$874.36

We have to apply the addition and subtraction operations in order to find the new balance.

New balance = Previous Balance+Interest+Deposits-Withdrawals

New balance = $568.23+$2.37+$562.32-$874.36

New balance =$258.56

Thus, if the previous balance, Interest, deposits withdrawals and are $568,$2.37, and $562.32.His new balance is $258.56.

Learn more about the arithmetic operation here:

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Kyle is painting the front door of his house. The dimensions of the door are 80 inches by 36 inches by 2 inches. If he paints all of the surfaces, how much area will he paint?

Answers

Answer:

its 5760ins

Step-by-step explanation:

80 inches * 36 inches * 2 inches = 5760 inches3

good day, and be safe

∵∴∵∴∵∴∵∴∵      

⊕ΘΞΠΤ⊕      

∵∴∵∴∵∴∵∴∵

For breakfast, Sarah can choose eggs, granola, or oatmeal as a main course, and orange juice or milk for a drink. How many possible outcomes are there in the sample space?

Answers

Answer:

6 outcomes

Step-by-step explanation:

3 (main courses) x 2 (drinks) = 6 outcomes

eggs - orange juice

granola - orange juice

oatmeal - orange juice

eggs - milk

granola - milk

oatmeal - milk

A Real estate agent Earned a commission of $6875 for selling a house. If the selling price of the house? Step by step plz

Answers

Can you ask the full question...?

Teorema de pitágoras. Las medidas de los lados y la diagonal de un rectángulo son tres números impares consecutivos.
Hallar los valores de estos elementos.

Answers

Answer:

This question says:

"the lenghts of the sides and the diagonal of a rectangle are 3 odd consecutive numbers".

This means that if x is an odd number, then the meassures are:

x, x + 2, x + 4.

We add 2 in each case, because the next consecutive number of, for example, 3 is 3 + 2 = 5, and so on.

Now, from the Pitagoras theorem we know that, for a triangle rectangle, we have

A^2 + B^2 = H^2

where A and B are the cathetus, and H is the hypotenuse.

In our case the smaller odd numbers will be the cathetus and the larger one will be the hypotenuse.

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

x^2 + x^2 + 4x + 4 = x^2 + 8x + 16

x^2 - 4x -12 = 0

now we need to solve this for x

we know that for a quadratic equation of the form:

ax^2 + bx + c = 0

the solutions are:

[tex]x = \frac{-b +- \sqrt{b^2 -4ac} }{2a}[/tex]

in our case we have:

[tex]x = \frac{4 +- \sqrt{16 +48} }{2} = \frac{4+-8}{2}[/tex]

The only positive value is x = 12/2 = 6

but 6 is not odd, so we can never have that the sides and the diagonal are odd consecutive numbers.

PARA HORNEAR UN PASTEL DE UN KILO SE NECESITA ENTRE OTROS INGREDIENTES UN TERCIO DE HARINA Y 3 CUCHARADAS DE VAINILLA CUANTA VAINILLA ES NECESARIA 3 KILOS Y MEDIO

Answers

Answer: 10 + 1/2 spoons of vanilla.

Step-by-step explanation:

This question says:

For 1kg of cake, we need 1/3 kg of flour and 3 spoons of vanilla.

How much vanilla do we need if we want to make a cake of 3 + 1/2 kg?

Ok, if for 1kg we need 3 spoons, then for (3 + 1/2)kg we need (3 + 1/2) times 3 spoons, this is:

(3 + 1/2)*3 spoons

=3*3 + 3/2 = 9 + 3/2 = 9 + 2/2 + 1/2 = 10 + 1/2

We need 10 + 1/2 spoons of vanilla.

if a=2, b= -1, c= -3 and d= -2 find :
1/2bc-6ac+2ab
1/4(ac)² +1/6ac

Answers

Answer:

34

8

Step-by-step explanation:

1/2bc - 6ac + 2ab

(1/2)(-1)(-3) - (6)(2)(-3) + (2)(2)(-1)

(1/2)(4) - (-36) + (-4)

2 + 36 - 4

34

1/4(ac)² + 1/6ac

(1/4)[(2)(-3)]² + (1/6)(2)(-3)

(1/4)(-6)² + (1/6)(-6)

(1/4)(36) + (-1)

9 - 1

8

[tex]f(x)=\sqrt x+2[/tex]
What is the inverse?

Answers

Answer:

[tex](x-2)^2[/tex]

Step-by-step explanation:

To find the inverse of this function, you need to replace the location of the x and the y.

You start with [tex]y=\sqrt{x}+2[/tex]. Now, replace the x and the y, and try to isolate the y.

[tex]x=\sqrt{y}+2\\x-2=\sqrt{y}\\y=(x-2)^2[/tex]

Hope this helps!

Please help out before 8pm !!

Answers

Answer:

170 degrees

Step-by-step explanation:

In a parallelogram, adjacent angles are supplementary, meaning that they add up to 180 degrees. This means that x+10=180, or that x=170 degrees. Hope this helps!

Manesh is putting new tile on a kitchen counter. Each sheet of tile will cover 1.5 \text { ft}^21.5 ft
2

Answers

Answer: the answer is 12


PLease help, I need this in 2 minutes!

y÷2.3+5.69=7.58

Answers

Answer:

y=4.347

Step-by-step explanation:

To solve for y in the equation:

[tex]\dfrac{y}{2.3}+5.69 =7.58[/tex]

First, subtract 5.69  from both sides

[tex]\dfrac{y}{2.3}+5.69-5.69 =7.58-5.69\\\dfrac{y}{2.3}=1.89\\$Cross Multiply\\y=1.89 X 2.3\\y=4.347[/tex]

A golfer is standing on a tee with a green in a valley below. If the tee is 43 yards higher
than the green and the direct distance from the green to the hole is 177 yards, find the
angle of depression from the tee to the green.

Answers

Answer:

[tex]13.65^0.[/tex]

Step-by-step explanation:

Given,

Height of tee, H = 43 yard

Direct distance of the hole is, D = 177 yards

Now, Angle of depression of tee

[tex]\tan \theta = \dfrac{H}{D}[/tex]

[tex]\tan \theta = \dfrac{43}{177}[/tex]

[tex]\tan \theta =0.2429[/tex]

[tex]\theta = 13.65^\circ[/tex]

Hence, angle of depression from tee to the green is [tex]13.65^0.[/tex]

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