The length of the hypotenuse of a right triangle is 137 units. The length of one leg of the triangle is 105. Gina wrote the following step to find the length of the unknown leg: Length of the unknown leg = 1372 − 1052 = 18,769 − 11,025 = 7,744 units Which statement best explains whether Gina's step is correct or incorrect?

A. It is incorrect because the length of the unknown side is the square root of 29,794.
B. It is incorrect because the length of the unknown side is the square root of 7,744.
C. It is correct because the length of the unknown side is the difference of the lengths of the sides.
D. It is correct because the length of the unknown side is the difference of the squares of the sides

Answers

Answer 1

Answer:

B. It is incorrect because the length of the unknown side is the square root of 7,744

Step-by-step explanation:

Givena = 137b = 105c = ?Solution

As per Pythagorean theorem:

c² = a² - b²c² = 137² - 105² = 18769 - 11025 = 7744c = √7744 = 88 units

Gina's incorrect step is:

B. It is incorrect because the length of the unknown side is the square root of 7,744
Answer 2

Answer:

it is incorrect because the length of the unknown side is the square root of 7,744.

Step-by-step explanation:

a^2 + b^2 = c^2

105^2+ b^2 = 137^2

11025+ b^2= 18769

11025-11025+ b^2 = 18769-11025

b^2= 7704

sqr b^2= sqr 7704

b=87.77243303

b=87.8 simplified

therefore,this gina is wrong because the lenght of the unknown leg is the square root of 7,744.

hope it helps.


Related Questions

Marco is discussing how prices have changed with his son, Paul. Paul does not believe him, so they decide to research the price of their favorite food items. Use the information below to determine the percent change in the question below. Round your answers to nearest tenths place. What is the percent of change in the cost of a serving of fries?

Answers

Answer:

67 percent I think if not 62

Step-by-step explanation:

Simplify 123 over 3

Answers

Answer:

The answer is 41

Step-by-step explanation:

Answer: 123/3 simplified is 41 or 41/1

Step-by-step explanation:

What is the next number in the pattern?
1, 4, 7, 10,_

Answers

Answer:

13

Step-by-step explanation:

Throughout this pattern, each previous number is adding 3.

Hope this helps! :)

a research lab is to begin experiments with a bacteria that doubles every 4 hours. the lab starts with 200 bacteria. a. how many bacteria will be present at the end of 12th hour? b. how many bacteria will be present at the end of one day? please answer this​

Answers

Answer:

A) 1600 bacteria

B) 12800 bacteria

Step-by-step explanation:

We are told that the bacteria doubles every 4 hours.

Now, if the amount of bacteria is X, it means that for 4 hours, it becomes 2X and after 8 hours it becomes 2(2X)

For 12 hours, it becomes; 2 × (2(2X))

This means that for 12 hours, it becomes 2 × (2(2X)) = 8X

A) Since the lab starts with 200 bacteria, after 12 hours, it has;

N_12 = 8 × 200.

N_12 = 1600 bacteria

B) From above, we have seen that after t hours, where t is a multiple of 4, the number of bacteria is;

N_t = [2^(¼t - 1)] × (2X)

Where X is initial amount of bacteria.

Thus, after a day which is 24 hours, we have;

N_24 = 2^(¼(24) - 1) × 2X

N_24 = 2^(5) × 2X

Where X is 200, N_24 = 32 × 2(200) = 12800 bacteria

what do racecar drivers like to do

Answers

They like to flip over and set their car on fire

In general, racecar drivers like to engage in activities related to speed, adrenaline, and competition both on and off the race track.

Racecar drivers have a passion for speed and competition, which extends beyond their time on the track. When not racing, many of them enjoy activities that provide an adrenaline rush, such as go-karting, motocross, or other extreme sports. Staying physically fit is crucial for their performance, so they often participate in rigorous training, including cardio workouts, strength training, and reflex drills.

Additionally, they may spend time honing their racing skills through simulators or practice sessions on race circuits. Away from the track, some drivers may have interests in classic cars, car collecting, or automobile engineering. Their lifestyle revolves around the excitement of racing and everything associated with it, both professionally and recreationally.

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------------The given question is incomplete, the complete question is:

"What do race car drivers like to do in general?"-----------------

What is the slope of this line?


−3

3/4

4

−3/4
Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma 2 end ordered pair and the point begin ordered pair 4 comma negative 1 end ordered pair

Answers

3/4 I think cuz it’s 3/4
-3/4 negative slope with -6/8 which is equivalent to -3/4

y=6(x-7)(x+2) standard form

Answers

Answer:

y=6x^2-30x-84

Step-by-step explanation:

Please help me with this problem

Answers

3 equivalent fractions for 2/3 are:

•4/6 (multiply the numerator and denominator by 2)
•6/9 (multiply the numerator and denominator by 3)
•8/12 (multiply the numerator and denominator by 4)

Basically all you have to do is multiply the numerator and denominator by any number as long as you keep it the same.

Hope you have a wonderful day ;)

Answer:

2/3

Step-by-step explanation:

2 / 3 x 1 = 2 /3

because you do 1x3 which gets you the bottom half then you do 2 x 1 which gets you 2 which equals 2/3

Hope this helps :) and if not I'm truly sorry

⚠️ IM DESPERATE ⚠️⚠️ please help me

Answers

Answer:

B (0, 1)

Step-by-step explanation:

(I’m not 100% sure about this)

Answer:

B. (0,1)

Step-by-step explanation:

Use the slope-intercept form to find the slope and y-intercept.

The slope-intercept form is  y = m x + b , where  m  is the slope and  b  is the y-intercept.

y = m x + b

Find the values of  m  and  b  using the form  y = m x + b .

m = 1

b = 1

The slope of the line is the value of  m , and the y-intercept is the value of  b .

Slope:  1

y-intercept:  1

Any line can be graphed using two points. Select two  x  values, and plug them into the equation to find the corresponding  y  values.

Choose  0  to substitute in for  x  to find the ordered pair.

Replace the variable  x  with  0  in the expression.

f ( 0 ) = ( 0 ) + 1

Simplify the result.

Add  0  and  1 .

f ( 0 ) = 1 The final answer is  1 . 1

The  y  value at  x = 0  is  1 .

y = 1

Choose  1  to substitute in for  x  to find the ordered pair.

Replace the variable  x  with  1  in the expression.

f ( 1 ) = ( 1 ) + 1

Simplify the result.

Add  1  and  1 .

f ( 1 ) = 2

The final answer is  2 . 2

The  y  value at  x = 1  is  2 .

y = 2

Create a table of the  x  and  y  values.

x : 0,1

y:  1 ,2

Graph the line using the slope and the y-intercept, or the points.

Slope:  1

y-intercept:  1

x : 0,1

y : 1 ,2

HELP ME ASAP PLZ !!!!!!!

Answers

Answer:

0.5 × 10^7

Step-by-step explanation:

1.6 divided by 3.2 =0.5

10 to the power or 14 minus 10 to the power of 7 = 10 to the power of 7

in division you must subtract the power number

Answer: C. 5.0 * 10^6

Step-by-step explanation:

1.6(10^14)

3.2(10^7)

=

(1.6)(100000000000000)

3.2(10^7)

=

160000000000000

3.2(10^7)

=

160000000000000

(3.2)(10000000)

=

160000000000000

32000000

=5000000 =

5*10^6

-(x-3)-2=2x
will need help ASAP

Answers

Answer:

1/3 = x

Step-by-step explanation:

plz just use. okay

1/3 or 0.3

Sketch a 9 red counters and 4 yellow counters.How many zero pairs can you make?How many counters do you have after you remove the zero pairs? What do they represent

Answers

Answer:

36.75 and 1/6 ( 6 accounts equally distributed )

Step-by-step explanation:

Number of Red counters to be sketched = 9

Number of Yellow counters = 4

The number of Zero pairs that can be made = 36.75

When you remove the Zero pairs the number of counters you would have = 6 accounts ie. 1/6

A right triangle has leg lengths of 3.4 cm and 6.7 cm. Which answer below shows the length of the triangle’s hypotenuse rounded to the nearest tenth?
A. 8.5 cm
B. 7.5 cm
C. 5.5 cm
D. none of the above

Answers

Answer:

D

Step-by-step explanation:

The hypotenuse squared is equal to the sum of the legs squared in a right triangle.

∴ c² = a² + b² (Pythagorean’s Theorem)

c² = 3.4² + 6.7² (substitute the given values for a & b)

c² = 11.56 + 44.89 (square both right hand terms)

c² = 56.45 (add the right hand side values)

c = √56.45 (square root of both sides)

c ≈ 7.5 to the nearest tenth QED

Alex chose a pair of jeans that sells for $19.50, but today all jeans are on sale for 10% off. How much will Alex save. Explain your answer.

Answers

Answer:

He saves $1.95. Instead of paying $19.50, He pays $17.55

Step-by-step explanation:

$19.50 ×10/100 = $1.95

That is the discount of the jeans. Taking

$19.50 - $1.95 = $17.55

the following table gives the number of people on the titanic by class and whether or not they survived gi

Answers

Answer:

Where’s the rest of the question ??

Step-by-step explanation:

What method of characterization does the following character description use?

Oh! But he was a tight-fisted hand at the grindstone, Scrooge! a squeezing, wrenching, grasping, scraping, clutching, covetous, old sinner! Hard and sharp as flint, from which no steel had ever struck out generous fire; secret, and self-contained, and solitary as an oyster. The cold within him froze his old features, nipped his pointed nose, shrivelled his cheek, stiffened his gait; made his eyes red, his thin lips blue; and spoke out shrewdly in his grating voice. A frosty rime was on his head, and on his eyebrows, and his wiry chin. He carried his own low temperature always about with him; he iced his office in the dog-days; and didn’t thaw it one degree at Christmas. from:

Answers

Answer:

The author is intending the character to be mean, old, and snobby. He also hates Christmas

Step-by-step explanation:

He does this by comparing the character to other objects.

Felicia has grown five pumpkins. The first is 25.34 pounds. The second
weighs 10.23 pounds less than the first. Both the third and fourth pumpkin
are 13.2 pounds. If the combined weight of the pumpkins is 71.87 pounds,
how much does the fifth pumpkin weigh?

Answers

Answer:

5.02

Step-by-step explanation:

Is this correct or wrong?

Answers

Answer:

It is correct :)

Step-by-step explanation:

pls help question attached

Answers

The answer to your question is C

A local fun park charges an admission fee plus a fee for each Go-Kart ride. Admission plus five
go-kart rides is $16.25. Admission plus three rides is $12.25. What is the charge for each Go-
Kart ride?
HELPPPPPPP PLEASE

Answers

The admission price is $6 and the rides are $2 each.

What is the square root of 1,567?

Answers

39.5854 (this answer is rounded)

Answer:

39.585

Step-by-step explanation:

HELPPPPP HURRYYYYYY FASTTTT

Answers

Answer:

A.

Step-by-step explanation:

A slope is 2

B slope is -1/2

hope this helps :3

if it did pls mark brainliest

is 10.6 greater than 10.600

Answers

Answer:

no its the same value

Step-by-step explanation:

Neil's bank offered him a 4.95% interest rate for his mortgage. If he
purchases 3 points, what will his new rate be?
O A. 0.375%
O B. 4.575%
C. 1.75%
O D. 4.375%

Answers

I honestly think it’s C

Neil's new interest rate after purchasing 3 points would be 7. 95%. The closest option is B. 4.575%.

How to calculate the interest rate?

To calculate the new interest rate after purchasing points, we need to know the cost of one point and the number of points purchased.

One point typically costs 1% of the mortgage amount, so three points would cost 3% of the mortgage amount. The cost of the points is usually paid upfront at closing.

Assuming Neil's mortgage amount is $100,000, the cost of 3 points would be:

3% x $100,000 = $3,000

To calculate the new interest rate, we need to add the cost of the points to the original interest rate and then recalculate it as a percentage:

New rate = Original rate + (Cost of points / Mortgage amount)

New rate = 4.95% + ($3,000 / $100,000)

New rate = 4.95% + 3%

New rate = 7.95%

So, Neil's new interest rate after purchasing 3 points would be 7. 95%. The closest option is B. 4.575%.

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Find m and b in the following equations.
What do m and b represent?
a.
y= 2x +1
b. y=zx-4

Answers

Answer:

Step-

by-step explanation:


If the vertex form of a
quadratic equation is y = (x -
7)^2-4, what are the zeros and
the coordinate of the y-
intercept? *

Answers

Answer: x = {5, 9} ; (0,45)

According to the U.S. Geological Survey, there are over 300,000,000 cubic miles of water on the planet. How this number represented in scientific notation
0 3 x 108
0 3 x 10°
30 x 108
0 30 x 10

Answers

Answer:

3 x 10^8

Step-by-step explanation:

300,000,000 in scientific notation is 3 x 10^8 and because it’s 8 zeros

The number 300,000,000 represented in scientific notation will be 3 × 10⁸. Then the correct option is A.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

According to the U.S. Geological Survey, there are over 300,000,000 cubic miles of water on the planet.

Convert the integer number into scientific notation. Then the number can be written as,

300,000,000 = 3 × 10⁸

The number 300,000,000 represented in scientific notation will be 3 × 10⁸. Then the correct option is A.

More about the Algebra link is given below.

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are these two photos the same? or is there a difference?

Answers

Answer:

Yes on one picture it says -40 and on the other one it says -4 so there is a differemce.

Step-by-step explanation:

A shirt that regularly sells for $40 has been marked down 10%. How much is the discount?

HELP ASAP!!!!!!

Answers

Answer:

4 dollars

Step-by-step explanation:

10 divided by 40=4

$35 should be the answer

The momentum of an object, p, is determined by its mass, m, and its velocity, v. The formula for this relationship is shown.
P=mv
Which equation shows the formula correctly solved for v?
A. V=m/p
B. V=p/ m
C. V= p-m
D. V=pm

Answers

Answer:

b

Step-by-step explanation:

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