Robert needs to know if the triangle shown is a right triangle. Which equation could he use to help? A. 36+ 25= 49B. 25 + 36 = 49 C. 25 2 + 36 2 = 49 2 D. 36 2 –25 2 = 49 2

Answers

Answer 1

Answer:

C. 25² + 36² = 49²

Step-by-step explanation:

We use the Pythagoras theorem to determine if the triangle is a right angle triangle. The theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In geometry, hypotenuse is the longest side in a right angle triangle. This means it would have the highest number.

A. 36+ 25= 49

This is wrong because the theorem deal with the sum of the squares of the other two sides.

B. 25 + 36 = 49

This is wrong because the theorem deal with the sum of the squares of the other two sides.

C. 25² + 36² = 49²

This is correct as it matches the theorem.

D. 36² –25² = 49²

This is wrong because the theorem deal with the sum of the squares of the other two sides and not their difference.


Related Questions

A small company has one color printer and one black-and-white printer, each printing at different rates. The color printer, working for 5 minutes and the black-and-white printer working, working for 3 minutes, print a total of 70 pages. When the black-and-white printer works for 6 minutes and the color printer works for 9 minutes, they print a total of 135 pages. This is modeled by the situation below, where b is the number of pages per minute of the black-and-white printer and c is the number of pages per minute of the color printer 3b + 5c = 70 and 6b + 9c = 135 How many pages per minute does the black-and white printer print?

Answers

Answer:

The black-and white printer print can print 15 pages per minute.

Step-by-step explanation:

The given modeled equations are

3b + 5c = 70...(i)

6b + 9c = 135...(ii)

where b is the number of pages per minute of the black-and-white printer and c is the number of pages per minute of the color printer.

From equation (i), we have

[tex]3b=70-5c \\\\\Rightarrow b = \frac {70-5c}{3} \cdots(iii)[/tex]

Now, substitute the value of b in equation (ii), we have

[tex]6\times \frac {70-5c}{3}+9c=135 \\\\\Rightarrow 2(70-5c)+9c=135 \\\\\Rightarrow 140 - 10c+9c=135 \\\\\Rightarrow -c=135-140=-5 \\\\\Rightarrow c=5x^{2}[/tex]

By using equation (iii), we have

[tex]b = \frac {70-5\times5}{3}=\frac{45}{3}=15[/tex]

Hence, the black-and white printer print can print 15 pages per minute.

The black-and-white printer can print 15 pages per minute.

Given equations:

[tex]3b+5c=70[/tex]    ........(i)

[tex]6b+9c=135[/tex]  ........(ii)

Where b is the number of pages per minute of the black-and-white printer and c is the number of pages per minute of the color printer.

Solve the system of equations by substitution method

From (ii)

[tex]6b=135-9c\\b=\frac{135-9c}{6}[/tex]     ........(iii)

Put the value of b in (i), we get

[tex]3(\frac{135-9c}{6} )+5c=70\\\frac{135-9c}{2} +5c=70\\135-9c+10c=140\\c=5[/tex]

put c = 5 in (iii)

[tex]b=\frac{135-9(5)}{6} =\frac{90}{6} =15[/tex]

Therefore, The black-and-white printer can print 15 pages per minute.

For more information:-

https://brainly.com/question/901589

Please answer the following attached image:

Answers

The correct answer is D.Please mark me as Brainliest!

Answer:

6i

Step-by-step explanation:

[tex]\sqrt{-36} = \sqrt{36} \sqrt{-1}[/tex]

[tex]\sqrt{36}[/tex] is 6 and symbol for [tex]\sqrt{-1}[/tex] is i for imaginary. So your answer will be 6i

Which are the intercepts of the equation y=−17x−8?

Answers

Answer:

The far left one

Step-by-step explanation:

When you graph it it intercepts the point (-56,0) the other es are wrong because the x and y points are mixed up.

4. Compare: 63% and 0.8 *

Answers

Answer:

.8>63%

Step-by-step explanation:

Answer:

63% is greater 0.8

Step-by-step explanation:

Hope it helps! :)

Tell whether 18:5 and 10:6 form a proportion.

Answers

Answer:

No

Step-by-step explanation:

They are not equivalent fractions

Answer:

No, they are not equivalent

Step-by-step explanation:

how how how? I help how to do it​

Answers

#2 also is yes
Just match with all the given stuff below

Answer: ich weiß nicht, aber ich will die freien Punkte

Solve for x, rounding to the nearest hundredth.
3^x= 93

11e^x=1 solve for x and round to the nearest hundredth

Answers

uhmmmm, i just need words :)

X^2+4x+20=12x-5

Solve this equation

Answers

Answer:

4 + (or -) 3i

Step-by-step explanation:

Hi!

Alright, so we're going to move all of the variables and constants to one side. Then, using the quadratic formula, we'll find the answer.

1. Move 12x-5 to the left side of the equation by

  a. Subtracting 12x from both sides

  b. adding 5 to both sides.

1: x^2+4x+20-12x+5

2. Group the common terms

  x^2+4x-12x+20+5 --> x^2-8x+25

3. Look at the problem. We can't factor this.

Explanation for why this isn't factorable (you can skip this)

(1) 25 is positive, so its two factors will both be either positive or negative. We're looking for a negative 8, so let's go with negative.

(2) Factors of 25: 1 & 25, 5 &5

Seeing the problem? Ya, none of the factors of 25 sum to eight. So, instead, we're going to use the quadratic formula.

4.  So, the quadratic formula: [tex]\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

Our equation is x^2-8x+25=0

a is the constant in front of the x^2

b is the constant in front of the x

c is the term without any x values

so, a=1, b=-8, and c= 25

Into equation:

[tex]\frac{8+-\sqrt{64-4(1)(25)} }{2a}[/tex]=[tex]\frac{8+-\sqrt{64-100} }{2}[/tex]=[tex]\frac{8+-\sqrt{-36} }{2}[/tex]

8/2 = 4

sqrt(-36) = 6i

6i/2 = 3i (remember, we still have the two in the denominator)

4 + (or -) 3i

Answer:

[tex]x=4+ 3\mathbf{i}[/tex]

[tex]x=4- 3\mathbf{i}[/tex]

Step-by-step explanation:

Solve:

[tex]x^2+4x+20=12x-5[/tex]

Move everything to the left side:

[tex]x^2+4x+20-12x+5=0[/tex]

Simplify:

[tex]x^2-8x+25=0[/tex]

Apply the solver formula:

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

Where a=1, b=-8, c=25. Thus:

[tex]\displaystyle x=\frac{8\pm \sqrt{(-8)^2-4(1)(25)}}{2*1}[/tex]

[tex]\displaystyle x=\frac{8\pm \sqrt{64-100}}{2}[/tex]

[tex]\displaystyle x=\frac{8\pm \sqrt{-36}}{2}[/tex]

The solutions are complex numbers:

[tex]\displaystyle x=\frac{8\pm 6\mathbf{i}}{2}[/tex]

Simplifying:

[tex]x=4\pm 3\mathbf{i}[/tex]

Two solutions are found:

[tex]x=4+ 3\mathbf{i}[/tex]

[tex]x=4- 3\mathbf{i}[/tex]

A math app was downloaded 52 times in 4 days. If it continues to be downloaded at the same rate, what scale factor can be used to find out how many times it was downloaded in 12 days?

Answers

Answer:

= 156 app downloaded in 12 days

use: 13x

plug in the amount of day for x.

Step-by-step explanation:

52/4 = 13

13x

13(12) = 156

Ace Carlos

I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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Answers

the answer would be D yeahhhhhh
the answer to the problem is D pls give brainliest

A woman bought 210 oranges for GH¢65.00. she sold all of them at 3 for ¢20.00. how much profit did she make?

Answers

Answer:

She made a profit of 1,335 cedis

Step-by-step explanation:

Here, we want to calculate the profit made

Profit is selling price - cost price

Her cost price is 65 credits

For her selling price;

she sells 3 for 20 cedis

So the price she sold 210 will be;

(210 * 20)/3 = 1,400 cedis

So the profit made is;

1,400-65 = 1,335 cedis

Use area model to find the product of 26 x 14.

Answers

Answer: 364

Step-by-step explanation:

Is this correct


16-2t=5t+9

Answers

Yes, your answer is correct

Answer: yes it is t={1}

PREMISES

16–2t=5t+9

CALCULATIONS

16–2t=5t+9

(16–9)-(2t-2t)=5t+2t+(9–9)

7–0=7t+0

7t=7

7t/7=7/7

t=1/1

t=

1

PROOF

If t=1, then the equations

16–2t=5t+9

16–2(1)=5(1)+9

16–2=5+9 and

14=14 prove the root (zero) t=1 of the statement 16–2t=5t+9

Step-by-step explanation:

please help it’s due soon marking brainlest look at my examples determine whether the two expressions are equivalent. if so tell what peppery is applied. if not explain why.

Answers

Answer:

1. Yes

2. Yes

3. No

4. No

5. No (that is plus not multiply)

Jesse took out a $14,000 car loan for 5 years at a 7.2% interest rate. Find Jesse's total payment amount for this loan.

Answers

Answer:

16,712.38

Step-by-step explanation:

Periodic interest rate 7.2%/12 = 0.6%

First find the monthly payment

M = $14,000 * 0.006(1 +0.006)^60/(1+0.006)^60-1 = 278.54

The total payment is $278.54 * 60= $16,712.38

Jesse's total payment amount for this loan is $16,712.38

What is Compound interest?

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Compound Interest =P(1+r/n)^rt

We are given that Jesse took out a $14,000 car loan for 5 years at a 7.2% interest rate.

Periodic interest rate = 7.2%/12

= 0.6%

First we need to find the monthly payment

M = $14,000 x 0.006(1 +0.006)^60/(1+0.006)^60-1

M = 278.54

The total payment is

$278.54 x 60= $16,712.38

Hence, Jesse's total payment amount for this loan is $16,712.38

Learn more about interest here;

https://brainly.com/question/1548909

#SPJ2

What is the value of the expression (81 1/4) to the power of 4

Answers

Answer:

43580627.4414

Step-by-step explanation:

calculator

Answer:

3

Step-by-step explanation:

19. The perimeter of the rectangle is 36 centimeters.
3
What is the length of the diagonal?
o
A. 108 centimeters
o B. V 144 centimeters
O C. 216 centimeters
D. 234 centimeters

Answers

Answer:

I think its b

Step-by-step explanation:

Over what interval is the function in this graph increasing?
A-2 sxs 3
B.-3 sxs2
C.-4 SXS - 2
D. -55x55

Answers

Step-by-step explanation:

The interval is -2 <= x <= 3 (A).

Would you rather go with the deal : 25% off of the $40 for christmas wrapping paper or the deal for 50% off of the $62 for christmas wrapping

Answers

Answer:

50% off of the $62 for christmas wrapping is the better deal

Step-by-step explanation:

Let us compare the prices after the discount

25% off of the $40 for christmas wrapping paper

=25/100*40

=0.25*40

=$10

The new price is

40-10=$30

50% off of the $62 for christmas wrapping

50/100*62

0.5*62

=$31

The new price is

=62-31

=$31

x² -5x -6 factorised

Answers

(X+1)(x-6) I think is what you’re asking for?

PLEASE HELP ILL MAKE BEST ANSWER BRAINLIEST


Based on the table, what is the unit rate for one gallon of gasoline?

A.3.30$
B.4.60$
C.5.60$
D.6.50

LOOK AT PICTURE PLEASE HELP

Answers

Answer:

im going to go with A because you want to divide 6.60 by 2

Step-by-step explanation:

Subtract the third price by each of the answers until you get the second price for an answer. If you still don't get it can you comment down below and I'll tell you the answer.

Jacqueline spent 33.50 to rent a bicycle. The bike rental facility charged $4 per hour and a processing fee of $1.50. For how many hours, x , did jacqueline rent the bicycle

Answers

Answer:

8 hours

Step-by-step explanation:

Given that:

Money spent by Jacqueline to rent a bicycle = $33.50

Per hour charges for the bicycle for renting the bicycle = $4

Processing fee charged for renting the bicycle = $1.50

To find:

The number of hours, [tex]x[/tex] for which Jacqueline rented the bicycle.

Solution:

Charges for 1 hour = $4

Charges for [tex]x[/tex] hours = $[tex]4x[/tex]

Processing fee = $1.50

Total fee charged for renting the bicycle is nothing but the sum of processing fee and the charges for [tex]x[/tex] hours charged by the bike rental facility.

Total money spent = Processing Fee + Charges for [tex]x[/tex] hours

Total money spent = 1.50 + 4[tex]x[/tex] = 33.50

[tex]\Rightarrow 4x = 32\\\Rightarrow x = \bold{8\ hours}[/tex]

So, Jacqueline rented the bicycle for 8 hours.

express 42 minutes as a percentage of 5hours​

Answers

Answer:

14%

Step-by-step explanation:

42 minutes, 5 hours is 300 minutes, 42/300 = 0.14 which is 14%

Calculate the largest possible are of a square whose side length is 1 cm to 1 significant figure.

Answers

Answer:

the answer is

1

Step-by-step explanation:

1*1=1

hope it helped

plz help me what is y=4x+8

Answers

X=-2
Move variable to the left and than you divide both sides of equation by 4

(Y-2,2x+1)=(x-1,y+2)

Answers

Answer:

x=2 and y=3

Step-by-step explanation:

y-2=x-1

or,x-y=-1.......(1)

again,

2x+1=y+2

or,2x-y=1.......(2)

now,

solving equations (1)&(2),we get,

x=2 and y=3

round 91.273 to the nearest tenth pls :D

Answers

Answer:

91.3

Step-by-step explanation:

Answer: 91.3

Step-by-step explanation: 7 is greater than 5, so it is okay to change the 2 to a 3 with no digits remaining afterwards.

Which statement about the ratios 15/18 and 18/27 is true?

A.The ratios are proportional because they simplify to the same ratio.
B.The ratios are proportional because they both contain the number 8.
C.The ratios are not proportional because they do not have the same denominator.
D.The ratios are not proportional because they do not simplify to the same ratio.

Answers

Answer:

C

Step-by-step explanation:

brainliest pls

Answer:

D

Step-by-step explanation:

the answer is D beacuse if expressed as ratios the would not be simplified or reduced to the same lowest form

there are 3,681 students at west school. Three grades attend this school. There are the same number of students in each grade. How many students are in each grade.

Answers

Answer:1,227

Explanation: 3,681 divided by 3 is 1,227

Answer:

1,227

Step-by-step explanation:

3,000 divided by 3 is 1,000

600 divided by 3 is 200

80 divided by 3 is 26 r2

1 + r2 =3

and 3 divided by 3 is 1

1,000 + 200 + 26 + 1 = 1,227

Please help. I'll give brainliest :)
On a map 1 inch = 50 miles. If two cities are inches apart, how many miles are they apart?
14.3 miles
50 miles
175 miles
137.5 miles

Answers

Answer:

it would be 100

Step-by-step explanation:

if 1=50 and you have 2 then multiple 50 by 2 and that gives you 100

Answer:

Givint the fact that the two cities are 3 1/2 inches arpart t=which you forgot to put in, I would say that there 175 miles apart

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