Use the Pythagorean theorem to find each missing length to the nearest tenth

Use The Pythagorean Theorem To Find Each Missing Length To The Nearest Tenth

Answers

Answer 1
answer: 10.4

explanation: a^2 + b^2 = c^2
plug in 3 for a and 10 for b
3^2 + 10^2 =c^2
simplify to get
109 =c^2
take the square root of both sides
c = sqrt109 or 10.44030651
Answer 2

Answer:

c (the hypotenuse) = 10.4 units

Step-by-step explanation:

Start off by rearranging the original pythangorean theorem (a^2+b^2=c^2) by taking the square root of both sides so it is in the form of a distance formula solving for c(the hypotenuse).

c^2 will become |c| as length cannot be negative so (labeling an absolute value is negligible)

a^2+b^2 = c^2

c^2 = a^2+b^2

√(c^2) = √(a^2+b^2)

c = √(a^2+b^2)

Then substitute the given lengths, in this scenario, sides a and b.

After you substitute, just simplify.

c = √(3^2+10^2) = √(9+100) = √109 ≈ 10.4 units (nearest tenth)


Related Questions

4. Is the expression (10x + 5 - 6x - 2) equivalent to (5x + 1 - (x - 2))? [True or False]
Prove this using algebra - Show work].

Answers

Answer:

true

Step-by-step explanation:

this is because

(10x+5-6x-2)

(10x-6x)+(5-2)

which equals 4x+3

then

(5x + 1 - (x - 2))

5x+1−x+2

(5x−x)+(1+2)

also equals

4x+3

What is the value of h in the figure
below?

Answers

Answer:

12

Step-by-step explanation:

according to the pythagorous theorem

What is the equation of a quadratic function that has zeros -6 and -2?

Answers

Answer:

[tex]y=x^{2} +8x+12[/tex]  is the quadratic function.

Step-by-step explanation:

We know that -6 and -2 are the zeros. So, they are both equal to x.

x = -6 and x = -2

Add them to x.

(x + 6) (x + 2)

Now, multiply the two binomials together.

[tex]x^{2} +6x+8x+12[/tex]

Combine like terms.

[tex]y=x^{2} +8x+12[/tex]

[tex]y=x^{2} +8x+12[/tex] is the answer.

Which equation is true when the value of x is -12

Answers

Answer:

Which equation is true when the value of x is -12    HERE YOU GO!!

Step-by-step explanation:

tricky ... let's see ...

I notice that if we subtract xy from both sides we get

7x + xy - xy = xy - xy + 21

then

7x = 21

and

x = 21/7 = 3

so there is only one value of x that satisfies the equation

x = 3

Going back to the original equation we see that any value of y will satisfy the original equation

we can see this by rearranging things:

7x + xy - xy = 21

here, I have performed the subtraction of xy on the right side as above, but have left the left side undone

(so we don't lose the presence of y)

Note that the above can also be written as

7x + (x - x)y = 21

or

7x + 0y =21

now, since anything times zero equals zero,

y may be any number.

Let's summarize:

1) x = 3

2) y = anything

looking back at the original question;

1) the equation is true for all ordered pairs

FALSE (only one x works, not all x)

2) there are no x and y pairs for which the equation is true.

FALSE (x=3, y=anything) makes it true, i.e. (3,1)  

3) For each value of x, there is one and only one value of y that makes the equation true,

FALSE for each value of x, for the one value of x, x=3, y can be any number, which is an infinite number, not one

4) for each value of y, there is one and only on value of x that makes the equation true.

TRUE!! for all the infinite values of y you may pick, there is one and only one x you may pick, x = 3

ANSWER: STATEMENT 4 is CORRECT (TRUE)

Help please will mark brainliest for correct answer!

Your weld settings are 17.5 volts and 125 amps. use ohm's law to count how much resistance is in your welding circuit.

Answers

Answer:

0.14 ohms

Step-by-step explanation:

We know that ohms law is given by the expression

V=IR

In the problem, we are given that

voltage v= 17.5volts

currents I=125 amps

Substituting our data into the expression we have

17.5=125*R

R=17.5/125

R=0.14 ohms

Hence the current is 0.14 ohms

Let A be the event that there are at least two fives among the four rolls. Let B be the event that there is at most one five among the four rolls. Find the probabilities P(A) and P(B) by finding the ratio of the number of favorable outcomes to the total (i.e., P(A) = #A #Ω and P(B) = #B #Ω ).

Answers

Answer:

P(A) = 31/1296

P(B) = 125/1296

Step-by-step explanation:

Here, we want to find P(A) and P(B)

Let’s start with A

In a roll of a die, the probability that there will be a 5 is 1/6

The probability of not having a 5 is therefore 1-1/6 = 5/6

So out of four rolls , we want to find the probability of having at least two fives

This means there could be 2, 3 or 4 fives;

For two fives;

We have 2 fives and two non-fives

= (1/6 * 1/6 * 5/6 * 5/6) = 25/1296

For 3 fives;

we have 3 fives and 1 non five

= 1/6 * 1/6 * 1/6 * 5/6 = 5/1296

For 4 fives;

= 1/6 * 1/6 * 1/6 * 1/6 = 1/1296

So the probability of at least two fives is;

1/1296 + 5/1296 + 25/1296 = 31/1296

Event B is the probability that there is at most one five among the four rolls

That means there are 3 non fives and 1 five

P(B) = 1/6 * 5/6 * 5/6 * 5/6 = 125/1296

HELLLLLLLP .....................

Answers

Answer:

B. No, because one x-value corresponds to two different y-values.

Step-by-step explanation:

Answer:

I believe It's B

Step-by-step explanation:

what the answer pls and explain 3a−4≤5

Answers

HOPE THIS HELPS !!!!!!!! :)

answer: a≤ 5/3

Step-by-step explanation:

First you have to subtract 4 from both sides making: 3a≤ 9

Next you divide both sides by 3 making: a≤ 3

Estimate the length of a square with an area of 99 square feet?

Answers

Answer:

Area =  [tex]L x W[/tex]

=  [tex]99 by 99[/tex]

=  [tex]9801 feet2[/tex]

9801 ft area.

-BBBM

solve f = 2/t + 5 for T​

Answers

Answer:

t=2/f-5

Step-by-step explanation:

2/t=f-5

or,2=(f-5)/t

t=2/(f-5)

So I was ordering me food that cost $16.13. And I have $15 and 4 quarters, 1 dime and 5 pennies. How can I make it work? Can I use the extra dollar with the 4 quarters so that I have $16?

Answers

Yes that would work since 4 quarters equals a dollar, 1 dime is equal to 10 cents and 5 pennies is equal to 5 cents and all of those added up is equal to $16.15, so you would have 2 cents in change.

Answer:

Technically, it already works because you have $16.15

Step-by-step explanation:

SOH CAH TOA
Find the missing side.
Round to the nearest tenth.

Answers

Answer:

1- 50

2-49

3-22

Step-by-step explanation:

just add the sides that you have and then subtract the sum by 90 becasue theu are right triangles

A car wash cost $12.50 at a local car-wash place. If you leave a 20% tip, how much are you actually leaving in tip? (What is the tip in dollars?)

Answers

Answer:

$2.50tip

Step-by-step explanation:

12.50*0.20=2.50

In the decimal system, when we divide a number by 10, the rightmost digit in the number is the remainder. Divide the number 157 by 10 repeatedly. Each time, write the remainder in the last column and the quotient in the dividend column. You can stop dividing when you get a 0 in the dividend column.

Answers

Answer:

See explanation

Step-by-step explanation:

Required

Divide 157 by 10 repeatedly.

This is done as follows...

157 Divided by 10 = 15 Remainder 7

15 Divided by 10 = 1 Remainder 5

1 Divided by 10 = 0 Remainder 1

As per the requirement of the question, no further action or operation is required

Carla makes a scale drawing of her garden that is 30 feet long and 24 feet wide. If the garden in her drawing is 20 inches long. What is the width in inches

Answers

Answer:

Sorry you will have to clarify more on the width I do not under stand :/

Step-by-step explanation:

Answer: A=14

Step-by-step explanation: 1 foot = 12 inches so 30 feet = 20 inches which is 30 - 10 so 24 - 10= 14

Sohil has $18 in quarters and loonies. If there are 27 coins in total, how many loonies are there

Answers

Answer:

15 loonies = $15.00

12 quarters = $3.00

CHECK:

15+12=27

3+15=18

So there are 15 loonies :)

0(1234+ 556 +780 x 4859/8393 + 83931) =

Answers

Answer:

I'm pretty sure its 0...since anything multiplied by zero is 0

find the length of the missing side

Answers

Answer: x=12

Step-by-step explanation:

20 squared= 400 and 16 squared= 256. The Protagorean Theorm is a sqaured plus b sqaured equals c squared. You just reverse the Theorm to C sqaured minus B squared= A squared. 400-256=144 (12x12= 144)

Answer:
x=12

Explanation:
To solve this question, we need to use the equation a^2+b^2=c^2.

A and B are the sides of the right triangle that are perpendicular to each other and C is the diagonal side. So, in this case, a=16, b=x and c=20.

1) plug values into the equation
a^2+b^2=c^2
16^2+x^2=20^2
2) expand the squares
256+x^2=400
3) Subtract both sides by 256
x^2=400-256
x^2=144
4)Square root both sides
x=12

I hope this helps! Please comment if you have any questions.

Which expression shows the sum 9 + 21 rewritten as a product of the GCF and a sum?

O 9(1 + 21)
O 3(3 + 7)
O 3(3 + 21)
O 9(1 + 3)

Answers

I don’t know all that but I do know this information: 9+21 is 30. GCF of 9 and 21 is 3.

Answer:

3(3+7)

Step-by-step explanation: you factor out the greatest common multiple. 3 times 3 is 9 and 3 times 7 is 21

Does x=3 make the equation 5x-3=12 true or false?

Answers

It would be false :)!

Answer:

True

Step-by-step explanation:

5 times 3 equal 15. 15 minus 3 equals 12

HELP MEEEEEE 20 pOInts

Answers

Answer:

55:5

121:11

Step-by-step explanation:

In terms of the δe values, which are the two expressions for the difference in internal energy between state a and state b? check all that apply. check all that apply. δeab=δe3+δe4 δeab=δe2+δe3 δeab=δe1+δe4 δeab=δe1−δe2 δeab=δe1+δe2 δeab=δe3−δe4 δeab=δe1+δe2+δe3+δe4

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

The expression are

        [tex]\Delta E  = \Delta E _1 + \Delta E_2[/tex]

and

     [tex]\Delta E  = \Delta E _3 + \Delta E_4[/tex]

Step-by-step explanation:

Generally from the diagram  the energy change from state A to  state B is  

        [tex].\  \ \Delta E_2 \ \ \ \ \  \  \ \ \Delta E_2  \\A  \ \ \to \ \ \  C \ \ \ \to \ \ \  B\\[/tex]

Also  

[tex].\  \ \Delta E_3 \ \ \ \ \  \  \ \ \Delta E_4  \\A  \ \ \to \ \ \  D \ \ \ \to \ \ \  B\\[/tex]

So  two expressions for the difference in internal energy between state a and state b are  

      [tex]\Delta E  = \Delta E _1 + \Delta E_2[/tex]

and

     [tex]\Delta E  = \Delta E _3 + \Delta E_4[/tex]

Which set of ordered pairs does not represent a function?
A.(0, 0), (2, 2), (5,5)
B.(0, 1), (3, 4), (4,3)
C. (1, 2), (3, 2), (7, 2)
D.(2,3), (3,5), (3,7)

Answers

Answer:

C does not represent a function

Step-by-step explanation:

you find 2 for each y- coordinate. Whenever you have a reputation in number for y axis means its not a function

Algebra, help please ASAP

Answers

Answer:

GCF

I hope this helps!

Answer:

GCF

Step-by-step explanation:

What is the answer to 5+(x−2)=−8

Answers

Answer:

x= -11

Step-by-step explanation:

Use Math  way.

determine the effects on the graph of the parent function f(x)=x+10 when g(x)=0.3f(x)

Answers

Answer:

First, remember the definition of a vertical contraction/dilation.

If we have a function f(x), and we dilate it with a factor A, such as:

g(x) = A*f(x).

If A is larger than 1, then we are dilating the graph of f(x)

if A is smaller than 1, then we are contracting the graph of f(x).

In this case we have:

f(x) = x + 10 and g(x) = 0.3*f(x) = 0.3*x + 0.3*10 = 0.3*x + 3.

A = 0.3

then we have a contraction.

From this, we can conclude that the effects of this transformation in the graph will be that the graph of g(x) will be a vertical contraction of the graph of f(x).

(Where contracting means that in a given interval [x1, x2] the associated interval [f(x1), f(x2)] will be larger than [g(x1), g(x2)])

Below you can see both graphs, and see the difference between them, where green is f(x) and blue is g(x)

6/7 divided by 2/7 show work pls thanks.

Answers

Answer:

42/14

Step-by-step explanation:

division is multiplication by its reciprocal so its gonna be 6/7x7/2=42/14

(simplify of course)

8) You and your friends order a meal for $179.77. How much tip
should you leave if you want to leave a 15% tip?
9) You and your friends order a meal for $149.58. How much
should you leave (including tip) if you want to leave a 18% tip?|

Answers

The answer for 8 is a $27 tip

The answer for 9 is a $26.92 tip

Item 1 Find the volume of the prism. A rectangular prism with length of start fraction 4 over 5 end fraction millimeter, width of one-half millimeter, and height of start fraction 3 over 8 end fraction millimeter. The volume is $$ cubic millimeter.

Answers

Answer:

The volume of the rectangular prism is 3/20 (or 0.15) mm³.

Step-by-step explanation:

The volume of the rectangular prism can be calculated as follows:

[tex] V = l*w*h [/tex]     (1)

Where:

l: is the length = 4/5 mm

w: is the width = 1/2 mm

h: is the height = 3/8 mm  

By entering the values of l, w, and h into equation (1) we can find the volume:

[tex] V = l*w*h = \frac{4}{5} mm*\frac{1}{2} mm*\frac{3}{8} mm = \frac{3}{20} mm^{3} = 0.15 mm^{3} [/tex]

Therefore, the volume of the rectangular prism is 3/20 (or 0.15) mm³.

I hope it helps you!

Point A is located at negative 4 over 6 and point B is located at negative 1 over 6. What is the distance between points A and B?

negative 4 over 6 minus negative 1 over 6 = negative 3 over 6; therefore, the distance from A to B is absolute value of negative 3 over 6 equals negative 3 over 6 units
negative 4 over 6 minus negative 1 over 6 = negative 3 over 6; therefore, the distance from A to B is absolute value of negative 3 over 6 equals 3 over 6 units
negative 4 over 6 plus negative 1 over 6 = negative 5 over 6; therefore, the distance from A to B is absolute value of negative 5 over 6 equals 5 over 6 units
negative 4 over 6 plus negative 1 over 6 = negative 5 over 6; therefore, the distance from A to B is absolute value of negative 5 over 6 equals negative 5 over 6 units

Answers

3/6 because absolute value of any number has to be positive and you have to subtract the 2 answers to find the distance

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