If the length of the base of a triangle is
increased by 10 percent and the height is
decreased by 20 percent, what is the
percent decrease in the area of the
triangle?
(A) 6%
(B) 8%
(C) 10%
(D) 12%

Answers

Answer 1

Answer:

d

Step-by-step explanation:

the answer is 12% decrease in area

Answer 2

The required, percentage decrease in the area of the triangle is 12%. Option D is correct.


What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Area of the triangle = 1/2bh

Now,
The length of the base of a triangle is increased by 10 percent and the height is decreased by 20 percent,
base = b + 0.1b = 1.1b
height = h - 0.2h = 0.8h

New area = 1/2[1.1b][0.8h] = 0.88 [1/2b/h]

Percentage decrease in area = [ 1/2bh - 0.88 [1/2b/h] / 1/2bh × 100%
                                             = 12%

Thus, the required, percentage decrease in the area of the triangle is 12%. Option D is correct.


Learn more about percentages here:

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Related Questions

help plz with question

Answers

Answer:

y = -x +1

Step-by-step explanation:

-0+1 = 1

-(-6)+1 = 7

etc

Answer:

y = - x + 1

Step-by-step explanation:

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

y - [tex]y_{1}[/tex] = m( x - [tex]x_{2}[/tex] ) point - slope form

y = mx + b slope - intercept form

~~~~~~~~~~~~

(1, 0)

(3, - 2)

m = ( - 2 - 0 ) / ( 3 - 1 ) = - 1

y - 0 = ( - 1)(x - 1)

y = - x + 1

what is a cube game called



this is my last joke question because i don't wanna get banned first to answer correct wins and gets brainiest

Answers

A Game Cube is Simply called a Game Cube it can be used for sega games and many up down games it uses a box with one joy stick and two buttons it connects to your tv with a decent range of games to play although they are basic
A cube is called a cube

If the random variable, X, has a Poisson distribution with a mean of 4 events per minute, the mean number of events per hour is:__________.

Answers

Answer:

240 events

Step-by-step explanation:

Given that:

Mean = 4 events per minute

The mean number of events per hour :

Number of Events per minute * (number of minutes per hour)

Number of minutes per hour = 60

Hence, mean number of events per hour :

4 * 60 = 240

Please helpppppp NEED ANSWERS ASAP

Answers

(1, 1)
(4.5, -6)
(2, -1)
(-2, 7)
basically if it gives u the first number u go to that number on the x axis and then just find where it meets on the y axis and if it gives u the second number u go to that number on the y axis and then just find where it meets on the x axis
pretty sure these r right hope i helped sorry if it was confusing

10
Determine the quotient. Write your answer as a simplified fraction, improper fraction, or
mixed number.
11/12 divided by 4

Answers

11/12 divided by 4 is equal to 11/48.

Given that g(x) = 4x + 6, find the value of x that makes g(x) = 14. Answer choices
A 8
B-5
C2
D -50 ​

Answers

Answer:

69

Step-by-step explanation:

nice

Manu’s weight is 68kg .Then what is his weight in gram?

Answers

Answer:

68,000

Step-by-step explanation:

hope that this helps

help please I’m struggling badly because Im bad at math xo

Answers

Answer:

w=36

Step-by-step explanation:

Because the 4w is located at Q which is about the same as the 36 on the left.

(dy/dx) - 2xy = x, y(0) = 0, find y(1).​

Answers

Answer :

2y=1+e−x2

Solution :

IF=e∫2xdx=ex2

∴y×ex2=∫xex2dx=12∫etdt+C, where x2=t

=12ex2+C.

∴y=12+Cex2

Putting y=1andx=0, we get C=12.

Help I don’t get this

Answers

Answer:

0.04 gallons in one mile

Step-by-step explanation:

Basically, you lose 2 in 50 miles. So in order to figure out how many you lose in one mile, you would take 2/50, which would give you 0.04.

Answer : 0.04 gallons in one mile

What is the y-intercept of the line y equals 3/4x +2?

Answers

the y-intercept is 2

write the word sentence as an inequality.
A number "n" is at least 10

Answers

The greater than sign can not be added into the answer.

n ( greater than sign) ( equal sign ) 10

What is the quotient to 5.4 and 11.88

Answers

2.2. Divide 11.88 by 5.4

julie opens a bank account with $500.she deposits $60 each month.write a function that represents the amount that is in julies account after x months

Answers

Answer:

[tex]f(x) = 500 + 60x[/tex]

Step-by-step explanation:

Given

[tex]Ope\ ning\ Balance = 500[/tex]

[tex]Deposits = 60[/tex] --- monthly

Required

Write as a function

Represent the number of months with x and the balance at any month with f(x)

f(x) is calculated as thus:

Opening Balance + Deposits * Number of Months

So, we have:

[tex]f(x) = 500 + 60 * x[/tex]

[tex]f(x) = 500 + 60x[/tex]

Hence, the function that represents the scenario is

[tex]f(x) = 500 + 60x[/tex]

An equilateral triangle has sides of equal length. Find the dimensions of an equilateral triangle with a perimeter of 45 inches. P=4s

Answers

Answer:

P= 4s

P= 4(45)

P= 180 in.

Explanation: write down the formula first. Then write down P= 4s, but change the "s" to the 45. Then multiply 45 by 4 then you have your answer. If your teacher ask you for an degrees it will be 180°. Which is also the sum of a triangle.

Andre came up with the following puzzle. “I am three years younger than my brother, and I am 2 years older than my sister. My mom's age is one less than three times my brother's age. When you add all our ages, you get 87. What are our ages?"

Answers

Answer:

My age is 13

My brother's age is x+3= 13+3 = 16

My sister's age is x-2=13-2=11

My mother's age is 3(x+3)-1=3(13+3)-1=47

What does each point (x, y) represent? the number of students that year the years since 2000 the number of years for each student enrollment a pairing of the year with the student enrollment of that year

Answers

Answer:

Step-by-step explanation:

Answer:

d and then the next answer is sometimes

Step-by-step explanation:

8(-8x – 6) = -6x - 22
solve for x

Answers

Answer:

x = - 13/29 OR x = - -0.44827586

Step-by-step explanation:

We use PEMDAS to evaluate the equation.

P stands for parenthesis. In this case we distribute the 8 to the equation in parenthesis.

8(-8x - 6)

-64x - 48 = -6x - 22 we will move the terms to their proportional sides

-64x + 6x = 22 + 48 (remember we do the opposite equation to move to the other side of the equals to sign)

-58x = 70 we divide both sides by -58 to isolate x

x = - 13/29 OR x = - -0.44827586

Answer: I got 3.18 repeating

Step-by-step explanation:

I WILL DO ANYTHING YOU NAME IT BUT PLz SOLVE THIS

Answers

Answer:  AD = 9cm

Step-by-step explanation: This is a 30-60-90 triangle, so the hypotenuse is equal to twice the length of the short side of the right angle.

BC is the short side of the large triangle, so AB, the hypotenuse of the large triangle is 2×6, 12 cm

BC is also the hypotenuse of the small triangle, ΔBCD, so it is twice the length of BD, to that makes BD = 6/2= 3

Subtract BD from AB.  

That's 12 - 3  = 9 the length of AD

Help pls it’s low key due soon also I’ll mark brainliest

Answers

i think the answer is A. 20 inches^2. sorry if it’s wrong
I wanna say that the answer is either A. Or D. but i’m not sure

Which of the following represent dividing 28 by 4?

Answers

Huh I think the answer is 7 28/4 =7

Answer:

7

Step-by-step explanation:

twenty eight divide by four is seven. 28/4 = 7

HELP! A box is 70 cm long. Which of these is closest to the length of this box in feet? (1 inch = 2.54 cm)

Answers

Answer:

Step-by-step explanation:

2.54 cm are equivalent to 1 inch;

70cm will be equivalent to?

=27.559 inches

12 inches is equivalent to 1 foot  

27.559 is equivalent to?

= 2.29

=2.30 feet

The width of a rectangle is 11 inches less than its length. Find the dimensions of the rectangle if the area is 80 squares inches. Then find the perimeter of the garden. ​

Answers

Answer:

8r1000000

Step-by-step explanation:

Answer:

Dimensions = 16 inches & 5 inches

Perimeter = 42 inches

Step-by-step explanation:

X x (X + 11) = 80

X = 16

Dimensions = 16 & 5

Perimeter = 16 x 2 + 5 x 2 =

32 + 10 =

42 inches

Hope that helps!

Hope that helps!

The 6th grade has 100 students. There are three
homerooms. 40 students are in Mr. Finley's
homeroom, 34 students are in Ms. Wittle's
homeroom, and the rest are in Mr. Miller's
homeroom. What is the ratio of the number of
students in Mr. Miller's homeroom to the total
number of students?

Answers

Answer:

26

26=100-34+40=100-74=26

Answer:

26:100    

Step-by-step explanation:

Simplified it would be 13/50

Evaluate the following.
-5 × (-2) =
I
- 21 - 3 =
0

Answers

ANSWER: D

EXPLANATION: TRUST ME BRO

expand using algebric
identity
1) (2xy+5y)2​

Answers

Step-by-step explanation:

(2xy + 5y)2 = 4xy + 10y

Topic: algebraic manipulation

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Answer:

4xy+10y

Step-by-step explanation:

(2xy+5y)2

4xy+10y

Hurry up please it’s due in 5 mins!!!!!!!!

Answers

Answer:

I think it's 3.09

Step-by-step explanation:

1a. Write an equation to represent the following situation. The movie tickets cost $9 for
adults (a) and $6 for children (c). The total cost was $132.

Answers

Answer:

9a + 6c = $132

Step-by-step explanation:

Find the total cost to the nearest $115 tablet, 35% markup

Answers

Answer:

40.25 I guess

Step-by-step explanation:

Answer:

Step-by-step explanation:

$155.25

The vertices of the feasible region are (choose all that apply)

(0,0)
(0,3)
(0,8)
(3,2)
(4,0)
(9,0)

Answers

9514 1404 393

Answer:

  (0,0)

  (0,3)

  (3,2)

  (4,0)

Step-by-step explanation:

The feasible region is the doubly-shaded area in the lower left corner of the first quadrant. It is a quadrilateral, so has 4 vertices. Those are the vertices of the feasible region:

  (0,0)

  (0,3)

  (3,2)

  (4,0)

_____

Additional comment

The objective function has positive slope, so the point (4, 0) will maximize it, and the point (0, 3) will minimize it.

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