A right triangle with the leg lengths of 7ft and 10ft. Using this information, find the length of the hypotenuse. Then round your answer to the nearest hundredth.

A Right Triangle With The Leg Lengths Of 7ft And 10ft. Using This Information, Find The Length Of The

Answers

Answer 1

Answer:

12.21

Step-by-step explanation:

Explanation:

This is a right triangle, so the Pythagorean Theorem applies.

The Pythagorean Theorem states that the sum of the squared legs of a triangle is equal to the squared hypotenuse.

The legs of a triangle are the sides that form the right angle.

The hypotenuse of a triangle is the longest side.

Formula/solve:

[tex]a^2+b^2=c^2[/tex]

[tex]a,b-legs[/tex]

[tex]c-hypotenuse[/tex]

Here, I am solving for the hypotenuse.

[tex]7^2+10^2=c^2[/tex]

[tex]49+100=c^2[/tex]

[tex]149=c^2[/tex]

Conclude:

The last step is the cancel out c² by finding the square root of 149.

149 is not a perfect square, so I must round the square root to the nearest hundredth.

[tex]12.2065556157[/tex] ≈ [tex]12.21[/tex]

I, therefore, believe the length of the hypotenuse is 12.21 feet.


Related Questions

Help me or i will kill Shrek!

Answers

Answer:

pls dont kill my dad.. i cant help but please. hes the only thing i have left man

Step-by-step explanation:

i would so help if i could but i just really dont want shrek dead

Don’t kill shrek he has a family

Calculate the simple interest on a loan of $9000 at an interest rate of 8% for 6 years? PLEASE HELP MEEE​

Answers

Answer:

Step-by-step explanation:

Rate = 8% = 8 / 100 = 0.08

Time (t) = 6 years

principal (P ) = 9000

i = P *r * t

i = 9000 * 0.08 + 6

i = 9000 * 0.48

i = 4320

what is the solution to the equation below?
-3 + sqrt 2x - 1 =8​

Answers

Answer:

[tex]x=61[/tex]

Step-by-step explanation:

[tex]-3+\sqrt{2x-1} =8[/tex]

[tex]\sqrt{2x-1} -3=8[/tex]

Add 3 to both sides of the equation:

[tex]\sqrt{2x-1}-3+3=8+3[/tex]

[tex]\sqrt{2x-1}=11[/tex]

Solve the square root:

[tex]\sqrt{2x-1}=11[/tex]

[tex]2x-1=11^{2}[/tex]

[tex]2x-1=121[/tex]

[tex]2x-1+1=121+1[/tex] {add 1 to both sides}

[tex]2x=122[/tex]

[tex]x=122/2[/tex]

[tex]x=61[/tex]

hope this helps.......

Marcos decide abrir una cuenta de ahorro para financiar en el futuro los estudios de su hijo recien nacido. Por suerte, el banco le ofrecio la tasa de interes anual de 4,8%. El monto que deposito Marcos en la cuenta fue de $1000 000.Si no retira el dinero ni los intereses, ¿que capital tendra a los 5 años? ¿que capital tendra cuando su hijo cumpla 18 años?

Answers

Answer:

Resultados debajo

Step-by-step explanation:

Dada la siguiente información:

Tasa de interes anual (i)= 4,8%

Inversión inicial (VP)= $1.000.000

Para calcular el valor final (VF), debemos usar la siguiente formula:

VF= VP*(1 + i)^n

Para 5 años:

VF= 1.000.000*(1,048^5)

VF= $1.264.172,72

Para 18 años:

VF= 1.000.000*(1,048^18)

VF= $2.325.429,02

a=10^x, b=10^yanda^y^*b*x=100then2xy=?​

Answers

Answer:

Here is your answer

Step-by-step explanation:

xy = 1

Hope you like it : )

Find the length of “b”, to the
nearest tenth, using the
Pythagorean Theorem.

Answers

Answer: b= 11.2

10^2 + b^2 = 15^2

100 + b^2 =  225

b^2 = 125

b= [tex]\sqrt{125}[/tex]

b= 11.2

Step-by-step explanation:

Answer:

b = square root of 125

Put into calculator and put to 1dp

Step-by-step explanation:

Pythagorean theorem is

a^2 + b^2 = c^2

The a and b are the two short sides and c is always the hypotenuse

We just put the numbers in

10^2 + b^2 = 15^2

Now we can rearrange so that b^2 is by its self on the left side

b^2 = 15^2 - 10^2

Now just solve by putting into calculator

b^2 = 125

And finally square root to get b^2 down to b

b = square root of 125

Put into calculator and put to 1dp

plz help me I will give u branist and follow u and also give u like plz help me​

Answers

Answer:

hi the answer is the first option, value assigned by the incorporation documents

please give brainliest

PLZ HELP! I will give brainliest!!!

Answers

Answer: x axis is time in hours, y axis is water level in centimeters

I can't see the rest of the problem since you didnt show it

Step-by-step explanation:

Which of the following is a point-slope equation for a line with the point
(-2,4) and a slope of 3?
A. y - 4 = 3(x - 2)
B. y - 4 = 3(x+2)
C. y-2 = 3(x-4)
D. Y + 2 = 3(x-4)
Please answer asap

Answers

Answer:

B

Step-by-step explanation:

point-slope formula: y-y1 = m(x-x1)

y1 = 4 ; x1 = -2 ; m (slope) = 3

plugging it in to the formula, you get y-4 = 3(x-(-2)

then you get y-4 = 3(x+2)

Write an inequality that matches this statement: In the football game last week, the
Pittsburgh Steelers scored 45 points. The Miami Dolphins did not score as much as the
Steelers.

Answers

Answer:

y < 45

Step-by-step explanation:

Pittsburgh Steelers scored 45 points.

The Miami Dolphins will be represented by a variable y.

y scored less than 45 points.

y is less than 45

y < 45

A car is moving at a rate of 72 km/hr. How far does the car move when it stops after 4 seconds? anwer is 125m


please help me to solve it .l have been stuck here in this question for 2hrs.i am new and l need ur help ​

Answers

REFERS TO THE ATTACHMENT.

PLEASE MARK ME AS BRAINLIEST:

Evaluate each of the following expression giving the answer in scientific notation

Answers

Answer:

Step-by-step explanation:

[tex]A) 5.3*10^{4}+4.7*10^{4}= (5.3 + 4.7)*10^{4}=10*10^{4}=10^{5}\\\\\\B) 3.7*10^{6} - 3.3*10^{6}=(3.7-3.3)*10^{6}=0.4*10^{6}=4.0*10^{-1}*10^{6}=4.0*10^{6-1}=4.0*10^{5}\\\\\\C) 4.8*10^{-3}+6.3^{-2}=4.8*10^{-2}*10^{-1}+6.3*10^{-2}\\\\=(4.8*10^{-1} +6.3)*10^{-2}\\\\=(0.48+6.3)*10^{-2}\\\\=6.78*10^{-2}\\\\\\D)6.6*10^{-5}-6.1*10^{-4}=6.6*10^{-1}*10^{-4}-6.1*10^{-4}\\\\=(6.6*10^{-1}-6.1)*10^{-4}\\\\=(0.66-6.1)*10^{-4}\\\\= (-5.44)*10^{-4}[/tex]

Find the area of the circle. (Picture attached). Thank you!!

Answers

the area is 254.5 hope it helps

Answer:

254.5cm²

Step-by-step explanation:

I assumed that the units is cm.

hope it helps!!!

LENGHT OF THE RECTANGLE IS 7 LESS THAN THE TWICE OF THE BREADTH THEN FIND ITS DIMENSIONS IF THE PERIMETER IS 40 CM

Answers

Step-by-step explanation:

Length of rectangle = 7 less than the twice the breadthPerimeter = 40 cm

Let us say the breadth as b and length as l.

→ Length = 7 less than the twice the breadth

l = 2b - 7 ...(1)

Now, according to the question,

Perimeter of rectangle = 2(l + b)

→ 40 = 2(2b - 7 + b)

→ 40 = 2(3b - 7)

→ 40 = 6b - 14

→ 40 + 14 = 6b

→ 54 = 6b

→ 54 ÷ 6 = b

9 m = Breadth

Now, finding length.

→ l = 2b - 7

→ l = 2(9) - 7 m

→ l = 18 - 7 m

Length = 11 m

Emily has pledged to start a healthy lifestyle and so she started walking to keep fit. On Monday, she walked 2/4 of a mile, and on Tuesday she walked 5/6 of a mile. How far did she walk in her first two days of exercise?



Quickkkkkk

Answers

Answer:

1 [tex]\frac{1}{3}[/tex] miles.

Step-by-step explanation:

2/4 + 5/6 = ?

We must convert these fractions to the same denominator so we can add fractions. Least common multiple of 4 and 6 is 12.

2/4 = 6/12

5/6 = 10/12

6/12 + 10/12 = 16/12

16/12 = 4/3

4/3 = 1 [tex]\frac{1}{3}[/tex]

1.3333333
I agree with the answer above

The circle below has center H. suppose mIJ=84. What is mIGL

Answers

Answer:

m∠IGJ = 42°

Step-by-step explanation:

It's given in the question,

m(arc IJ) = 84°

And we have to get the measure of ∠IGJ.

By using the property of inscribed angle and the intercepted arc.

"Measure of an inscribed angle is half of the measure of intercepted arc"

m(arc IJ) = 2(m∠IGJ)

84° = 2(m∠IGJ)

m∠IGJ = 42°

Kevin has a part time job.He earns$8 an hour.He wants to buy a new bike it is $176 how may hours does he need to buy it

Answers

Answer: 22 hours

Step-by-step explanation:

Given

Kevin earns $8 per hour

The cost of bike is $176

For Kevin to buy that bike, he needs to work atleast

[tex]\Rightarrow \dfrac{176}{8}=22\ \text{hours}[/tex]

So, Kevin must work 22 hours to buy that bike.

tujuh di kali tujuh sama dengan?​

Answers

Answer:

49

Step-by-step explanation:

➡️ Pertanyaan:

7 × 7

➡️ Penyelesaian:

7 × 7

49 ✅

[tex] \: [/tex]

Answer:

49

[tex] \: \: \: \: \: \: \: \: [/tex]

Find the area and perimeter of the figure on the coordinate system below.
If anyone could help please do.

Answers

Answer:

P= 2L+2W+2H

P=2(3)+2(3)+2(3)

=18ft


Help me asp thank you

Answers

Answer:

23 - ( 9 - 5 )²

= 23 - (4 )²

= 23 - 16

= 7

hope it is helpful to you ☺️

solve:
2×+3=5
class 7th chapter simple equation​

Answers

Answer:

x=1

Step-by-step explanation:

2x+3=5

2x=5-3

=2

x= 2÷2

= 1

Answer:

x = 1

Step-by-step explanation:

2x + 3 = 5

2x = 2

x = 1

If this helps you, please mark brainliest!

Have a nice day!

What is the common solution for the equations y = 3x + 1 and y = x + 3? Write your answer an ordered pair!

Answers

Answer:

(1,4)

Step-by-step explanation:

Hi there!

We're given the system:

y=3x+1

y=x+3

We need to find the common solution (the point at which the lines intersect); we do this by finding the value of the variables.

Let's start with x

Since both equations equal y, we can make 3x+1 and x+3 equal to each other, because of a property known as transitivity (if a=b and b=c, then a=c)

3x+1=x+3

subtract 1 from both sides

3x=x+2

subtract x from both sides

2x=2

divide both sides by 2

x=1

we found the value of x

now we need to find the value of y

We do this by plugging x as 1 into either one of the equations to solve for y

let's use y=x+3 for example

substitute x as 1

y=1+3

add

y=4

we found the value of y.

Your question asks for the answer to be written as an ordered pair, which will be (1,4)

Hope this helps!

Answer:

(1, 4 )

Step-by-step explanation:

Given the 2 equations

y = 3x + 1 → (1)

y = x + 3 → (2)

Substitute y = 3x + 1 into (2)

3x + 1 = x + 3 ( subtract x from both sides )

2x + 1 = 3 ( subtract 1 from both sides )

2x = 2 ( divide both sides by 2 )

x = 1

Substitute x = 1 into either of the 2 equations and evaluate for y

Substituting into (2)

y = 1 + 3 = 4

solution is (1, 4 )

a tank is 2.7m long 5.0m wide 3.2m high how many liters can it hold when full​

Answers

Answer:

1 liter = 1,000 cubic cm.

the tank is 270 cm by 500 cm by 320 cm

270 * 500 * 320 = 43,200,000 cc =

43,200 liters =

43.2 cubic meters

Step-by-step explanation:

Question 5Multiple Choice Worth 1 points)
(02.03 MC)
Choose the equation that represents the graph
-answer choices
y=x-3
y=-x+3
y=-x-3
y=x+3

Answers

It would be y=x+3 because you have a slope of 1 and a y-intercept at 3

Answer:

i think it would be y=x+3

Step-by-step explanation:

On a coordinate plane, 4 lines are shown. Line A B goes through (negative 4, 3) and (4, 3). Line C D goes through (negative 3, 0) and (3, 2). Line F G goes through (negative 3, negative 1) and (3, negative 3). Line H J goes through (negative 1, negative 4) and (1, 2).
Which of the lines that appear in the graph would be parallel to a line with a slope of 3 and a y-intercept at (0, 3)?

line AB
line CD
line FG
line HJ

Answers

Answer:

fg

ur welcome and im out

Step-by-step explanation:

A weather forecaster says the temperature will be about -5 degrees celcius "give or take" 10 degrees celcius. what is the greatest and least possible temperature?

Answers

Answer:

5 is the greatest and -15 is the least.

Step-by-step explanation:

The expression "give or take" means to add or to subtract on both sides. Since the estimated forecast is -5 degrees celcius. We can add 10 and subtract 10 to find the least and greatest possible temperature. -5-10=-15. -15 degrees celcius is the least possible temperature. -5+10=5. 5 degrees celcius is the greatest possible temperature.

Hope this helps!

Greatest:5, Least:-15

holaaandaaa cuanto es 22+22

Answers

Step-by-step explanation:

22+22=44

Es una pregunta fácil, incluso un niño pequeño puede responder a esto.

Simplify the following expressions without using calculator 8/(2sqrt(6) + 3) - 4/(2sqrt(6) -3)​

Answers

Step-by-step explanation:

[tex] \tt \longrightarrow \dfrac{8}{2 \sqrt{6} + 3 } - \dfrac{4}{2 \sqrt{6} - 3 } \\ \\ \tt \longrightarrow \dfrac{8(2 \sqrt{6} - 3) - 4(2 \sqrt{6} + 3)}{(2 \sqrt{6} + 3)(2 \sqrt{6} - 3 ) } \\ \\ \tt \longrightarrow \dfrac{16\sqrt{6} - 24 - 8 \sqrt{6} - 12}{(2 \sqrt{6} ) {}^{2} - (3) {}^{2} } \\ \\ \tt \longrightarrow \dfrac{8\sqrt{6} - 36}{24 - 9 } \\ \\ \tt \green{\longrightarrow \dfrac{8\sqrt{6} - 36}{15 }} [/tex]

Find the missing angle

Answer option

30 degrees

130 degrees

Answers

Given:

The measure of one angle in the figure is 50 degrees.

To find:

The missing angle in the figure.

Solution:

Let x be the measure of the missing angle. Then

[tex]x+50^\circ=180^\circ[/tex]                     [Supplementary angles]

[tex]x=180^\circ-50^\circ[/tex]

[tex]x=130^\circ[/tex]

Therefore, the measure of the missing angle in the figure is 130 degrees. Hence, the correct option is B.

Jason and Donny painted a house and received $1.200. To complete the painting job Jason painted 4 hours 25 minutes and Donny spent 2 hours and 15 minutes. If they split the $1.200 in proportion to the amount of time each spent painting, how much did Donny receive?​

Answers

Answer:

$405

Step-by-step explanation:

Total hours = 4 hrs 25 min + 2 hrs 15 min = 6 hrs 40 min = 400 min

4 hrs 25 min = 265 minutes

2 hrs 15 min = 135 min

Donny's share = [tex]\frac{135}{400} of 1200[/tex]

                        [tex]=\frac{135}{400}*1200=135*3\\\\= 405[/tex]

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