Two triangles have the same height. The base of one
triangle is twice that of the other. Find the difference in
their areas.​

Answers

Answer 1

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]

They both have same height,

let the height of both triangles be = x

let the base one triangle = y

then the base of another trainlgle = 2y

Area of triangle = 1/2 X B X H

Area of Triangle 1

[tex] \frac{1}{2} \times y \times x \\ = > \frac{xy}{2} [/tex]

Area of Triangle 2

[tex] \frac{1}{2} \times 2y \times x \\ = > \frac{2xy}{2} \\ = > xy[/tex]

Difference in the area =

[tex]xy - \frac{xy}{2} \\ = > \frac{2xy - xy}{2} \\ = > \frac{xy}{2} [/tex]

Hence Area of Triangle 1 is half the area of Triangle 2

Difference of 1/2 area.

Answer 2

Answer:

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}∣ANSWER∣

They both have same height,

let the height of both triangles be = x

let the base one triangle = y

then the base of another trainlgle = 2y

Area of triangle = 1/2 X B X H

Area of Triangle 1

\begin{gathered} \frac{1}{2} \times y \times x \\ = > \frac{xy}{2} \end{gathered}21×y×x=>2xy

Area of Triangle 2

\begin{gathered} \frac{1}{2} \times 2y \times x \\ = > \frac{2xy}{2} \\ = > xy\end{gathered}21×2y×x=>22xy=>xy

Difference in the area =

\begin{gathered}xy - \frac{xy}{2} \\ = > \frac{2xy - xy}{2} \\ = > \frac{xy}{2} \end{gathered}xy−2xy=>22xy−xy=>2xy

Hence Area of Triangle 1 is half the area of Triangle 2

Difference of 1/2 area.

[/tex]

Step-by-step explanation:

side it

siso,;-):-(


Related Questions

gordon types 1800 words in 25 minutes. word per minute

Answers

Answer:

72

Step-by-step explanation:

words per minutes= 1800÷25=72

At a high school football game, admission is $5 for students and $10 for non-students. There were 500 people at the first game, and the school made $4,000 from admissions. In this activity, you will find the number of students and non-students at the game.

Please write the two equations algebraically and then solve :)

Answers

Answer:x = 200 students

y = 300 non-students

Step-by-step explanation:

5x + 10y = 4000

x + y = 500

Set y = 500-x

5x + 10(500-x) = 4000

5x + 5000-10x

-5x + 5000 = 4000

-5x = -1000

x = 200 students

y = 300 non-students

Let's double checks

5(200) + 10(300)

1000 + 3000 = 4000

what does x = ? need help with the pythagorean theorem

Answers

Answer:

The answer is 9

Step-by-step explanation:

set up the equation as 12^2 + b^2 = 15^2

solve the exponents and you get 144 + b^2 = 225

Then subtract 144 from both sides and get 81

After that just do the square root of 81 and you get 9

pls mark brainliest

The length of a rectangle is 10 more than 10 twice the width , if the perimeter is 80inches find the length the width

Answers

Answer:

The width is 10 inches

The length is 30 inches

Step-by-step explanation:

Perimeter of a Rectangle

The perimeter of a rectangle of length L and width W is calculated as follows:

P = 2L + 2W

It's given the length of a rectangle is 10 more than twice the width:

L = 2W + 10

Substituting into the formula of the perimeter:

P = 2(2W + 10) + 2W

Operating:

P = 4W + 20 + 2W

P = 6W + 20

It's given this perimeter is 80 inches, thus

6W + 20 = 80

Subtracting 20:

6W = 80 - 20 = 60

Dividing by 6:

W = 60 /6 = 10

Since :

L = 2W + 10

L = 2*10 + 10

L = 30

The width is 10 inches

The length is 30 inches

what is the range of the function f(x)=-8x+13 when the domain is (-2,0,3)?

Answers

Answer:

The complete set of domain (x) and range values (y) is given by:

x                   y

-2                39

0                 13

3                  11

Step-by-step explanation:

Considering the function

[tex]f(x)=-8x+13[/tex]

As we know that the range of a function consists of the entire set of all possible resulting values of the dependent variable commanly called y or f(x), once we have substituted the domain.

Now

As the x values are -2, 0, and 3. So, the domain interval is (-2,0,3).

Putting x = -2 in f(x) to determine the range for the value x = -2

[tex]f(x)=-8x+13[/tex]

[tex]f(-2)=-8(-2)+13=16+13=39[/tex]

Putting x = 0 in f(x) determine the range for  the value x = 0

[tex]f(x)=-8x+13[/tex]

[tex]f(0)=-8(0)+13=0+13=13[/tex]

Putting x = 0 in f(x) determine the range for the value x = 3

[tex]f(x)=-8x+13[/tex]

[tex]f(3)=-8(3)+13=-24+13=11[/tex]

Therefore, the complete set of domain (x) and range values (y) is given by:

x                   y

-2                39

0                 13

3                  11

Denis orders a large pizza for $16.50 plus $2 for each topping. Sheng orders a medium pizza for $13.25 plus $2 for each topping.

Answers

Their bills will never be the same because the toppings cost the same.

Question must probably wants to know the number of toppings it would take for their bills to be equal.

Assume the number of toppings is x, Dennis's bill will be:

= Cost of Pizza + Cost of toppings x number of toppings

= 16.50 + 2x

Sheng's bill will be:

= 13.25 + 2x

Equate their bills to find the number of toppings that would equate their costs:

16.50 + 2x = 13.25 + 2x

16.50 - 13.25 ≠ 2x - 2x

3.25 ≠ 0

In conclusion, their bill will never be the same because the toppings are the same price.

Find out more at https://brainly.com/question/5607279.

Your payment is $350 per month for 48 months and you made a 3,000 down payment?

Answers

Answer:

Your total cost would be $19800

Step-by-step explanation:

350*48

=16800

+3000

=19800

solve each system using elimination


8x+lly = 20 5x - 11y = -59​

Answers

Answer:

8x+lly=205x-11y=-59u200b

Step-by-step explanation:

i calculated it

48 = -6a, a =
pls help hfjdjf

Answers

Answer:

a=-8

Step-by-step explanation:

Mrs. Daniels recorded the weights of nine boxes of strawberries in her booth at a farmer's market. The weights of the boxes
shown.
2
What is the average weight, in pounds, of the boxes of strawberries?
OB.
OA 13 pounds
1 pounds
OC. 2 pounds
OD. 2, pounds
Reset
Next

Answers

Answer:

The answer is C. 2 pounds

Step-by-step explanation:

Add all the numbers up and then divide by the numbers of sets. The average is the same as the mean.

This is for the ones on Plato

Teresa feeds her dog 1/3 can of dog food each day. How many days can Teresa feed her dog with 5 cans of food?​

Answers

15 days
5/(1/3) = 15 days

Can someone help me out with this please!
What is the domain and range of the function: y= 10(4) + 100

Domain: ____
Range: ____

Answers

Domain is negative infinity to positive infinity or all real numbers

Range is 140 because it would be a straight line

Name the coefficients in a +2a+3a-4a

Answers

Answer:

2,3,4

Step-by-step explanation: there next to veribuls

"Just look at the graph," the player's agent said. "Phil's hits have doubled since last year. We are looking for a large raise and a long contract." Look at the graph. A bar graph titled Phil's hits has this year and last year on the x-axis, and number on the y-axis, from 100 to 200 in increments of 20. This year is 180, and last year is 120. How can you redraw this graph so it appears that Phil's hits have quadrupled since last year. a. Use the same scale and make the top bar twice as thick as the bottom bar. b. Alter the scale so the top bar appears four times as long as the bottom bar. c. Both a and b. d. Neither a or b.

Answers

Answer:

Awnser is C

Step-by-step explanation:

We just have to make the top bar seem bigger then it actually is

Help Really quick
The table shows data collected from 14 people.

Shoe Size, x 8.5 9 9 9.5 10 10 10.5 10.5 11 11 11 12 12 12.5
Height (inches), y 66 68.5 67.5 70 70 72 71.5 70 71 71.5 73 73.5 74 74
Determine the correlation coefficient for the data. Round to the nearest hundredth.

r=

Answers

Answer:

i need the answer ;(

Step-by-step explanation:

A population of kangaroos is growing at a rate of 2% per year, compounded continuously. If the rate continues, how many years will it take of the population to reach 150% of its current size according to the exponential growth function?

Answers

Answer:

75 years.

Step-by-step explanation:

Divide 150 by 2, that gives you the years.

A store sells 3 cans of beans for $9. What is the price of 7 cans of beans?

Answers

Answer:

21

Step-by-step explanation:

because you  divide 9 byy 3 and you get 3 so then you do 7 x 3 7x3 is 21

-3y-2=7 what is the value of y

Answers

Answer:

y = -3

Step-by-step explanation:

Add 2 to each side to isolate the -3y. Doing this leaves you with -3y=9. You then divide each side leaving you with y = -3

Answer:

The equation has one solution at which y = -3.

Step-by-step explanation:

To find the value of y, we need to isolate it from the rest of the equation.

Add 2 to both sides of the equation.Divide by -3 on both sides of the equation.Simplify the equation if necessary.

[tex]\displaystyle{-3y-2=7}\\\\-3y = 9\\\\\bold{y = -3}[/tex]

We can check to make sure that y = -3 by substitution.

[tex]\displaystyle{-3(-3)-2 = 7}\\\\9-2=7\\\\7= 7 \ \checkmark[/tex]

Because we got a true statement, we can determine that y = -3.

Heather has a bag with 3 marbles, 7 tennis balls, 3 apples, and 3 books. What is the ratio of books to tennis balls?
A.
(3/7) or 3:7
B.
(7/8) or 7:8
C.
(4/7) or 4:7

Answers

Answer:

B

Step-by-step explanation:

I hope it's correct and I'm thinking it is,. Sorry if it's not

Answer:

I think A

Step-by-step explanation:

3/7. Or 3:7

Cause there are 3 books and 7 tennis balls

Find the equation of the line shown.

Answers

Answer:

I think that it is y= -2x +9

Step-by-step explanation:

I am sure about the slope but the y-intercept (9) might be wrong.

I need help with this equation

Answers

Answer:

Here:)

Step-by-step explanation:

x= -8

Answer: x = -8

Step-by-step explanation:

8x = 4x - 32

subtract 4x from both sides

4x = -32

divide by 4 on both sides

x = -8

:)

Desarrolla el siguiente cuadrado de binomio (2x³ - 6x)²

Answers

Answer:

[tex]4x^{6} - 24x^{4} + 36x^{2}[/tex]

Step-by-step explanation:

please help! i only got 9 minutes left!!

Answers

Answer:

D) -5/2

Step-by-step explanation:

(0, 5) (8, -15)

-15 - 5 = -20

8 - 0 = 8

-20/8 = -5/2

Starting from the same place a plane took 1 hr longer to fly 705 mi to Atlanta, than to fly 470 mi to New Orleans. If the plane flew at the same rate for the entire trip, what was the flying time for the shorter leg? a. 1 2 hr c. 1 1 2 hrs b. 1hr d. 2 hrs

Answers

Answer: d. 2 hrs

Step-by-step explanation:

Let x = Time taken(in hours) to fly 470 mi to New Orleans. (Shorter leg)

Then Time taken to fly 705 mi to Atlanta= x+1 (longer leg)

Since  the plane flew at the same rate for the entire trip.

i.e. Speed 705 mi to Atlanta = Speed to fly to New orleans

[tex]\Rightarrow\ \dfrac{705}{x+1}=\dfrac{470}{x}\ \ \ \ \ \ \ [\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}]\\\\\Rightarrow\ 705x=470(x+1)\\\\\Rightarrow\ 705x=470x+470\\\\\Rightarrow\ 705x-470x=470 \\\\\Rightarrow\ 235x=470\\\\\Rightarrow\ x=\dfrac{470}{235} \\\\\Rightarrow\ x=2[/tex]

hence, the flying time for the shorter leg = 2 hours

So (d) is the correct option.

Phoebe, Andy and Polly share £270
Phoebe gets three times as much as Andy who gets twice as much as Polly.
How much do they each get?

Answers

Answer:

Andy gets 60

Polly gets 30

Phoebe gets 180

The graph of the function B is shown below. If B(x) = -1, then what is x?
1
2
-1

Answers

Answer:

x = 2

Step-by-step explanation:

B(x) = - 1 means what is the value of x for y = - 1

This is the dot positioned at (2, - 1 )

with x = 2

Answer: its the first one

Step-by-step explanation:

hope thats what your lookinf for

Find the measure of the indicated arc.

Answers

I think that the answer is 61 because the measure of angle B has to be the same of that arc so I find the measure of B adding 70+49=119 and subtract 119 to 180 because triangles add up to 180 and I got 61.

Hope this helps :D

Can someone help pls

Answers

See the attchment because if i typed it, it would be confusing
[tex] \frac{6}{12} = \frac{1}{2} [/tex][tex]\frac{24}{30} = \frac{4}{5} [/tex][tex] \frac{9}{36} = \frac{1}{4} [/tex][tex] \frac{15}{24} = \frac{5}{8} [/tex][tex] \frac{9}{18} = \frac{1}{2} [/tex][tex] \frac{12}{9} = \frac{4}{3} [/tex][tex] \frac{5}{10} = \frac{1}{2} [/tex][tex] \frac{24}{32} = \frac{3}{4} [/tex][tex] \frac{10}{35} = \frac{2}{7} [/tex][tex] \frac{18}{90} = \frac{2}{10} = \frac{1}{5} [/tex][tex] \frac{8}{32} = \frac{1}{4} [/tex][tex] \frac{18}{14} = \frac{9}{7} [/tex][tex] \frac{2}{6} = \frac{1}{3} [/tex][tex] \frac{12}{18} = \frac{6}{8} = \frac{3}{4} [/tex][tex] \frac{24}{9} = \frac{8}{3} [/tex][tex] \frac{7}{28} = \frac{1}{4} [/tex][tex] \frac{6}{21} = \frac{2}{7} [/tex]

A formal proof uses all of the following components except what?

A.) theorems
B.) a set of examples
C.) geometry rules
D.) algebra rules

Answers

Answer:

The answer is B.

i need the answer for this question

Answers

Answer:

x=5

y=7

(5,7)

Step-by-step explanation:

solved by substitution.

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