The height of the triangle is 3 meters longer than twice its base. Find the base and height if the area is 8 square meters. Round to the nearest hundreth.

Answers

Answer 1

9514 1404 393

Answer:

base: 2.18 mheight: 7.35 m

Step-by-step explanation:

Let b represent the base of the triangle in meters. Then the height is ...

  h = 3 +2b

and the area is ...

  A = 1/2bh

  8 = 1/2(b)(3 +2b)

  16 = 3b +2b^2 . . . . . . . multiply by 2 and eliminate parentheses

  2(b^2 +3/2b + (9/16)) = 16 + 9/8 . . . . . . complete the square

  2(b +3/4)^2 = 17.125

  (b +3/4)^2 = 8.5625 . . . . . divide by 2

  b + 0.75 = √8.5625 ≈ 2.9262

  b = -0.75 +2.9262 = 2.1762

  h = 3 +2b = 7.3523

The base is about 2.18 meters and the height is about 7.35 meters.


Related Questions

Which statement would be a reasonable prediction based on the scatterplot and trend line? O A box with 10 books should weigh about 2 pounds. A box with 10 books should weigh about 4 pounds. A box with 10 books should weigh about 6 pounds. O A box with 10 books should weigh about 12 pounds.​

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Answer:

D

Step-by-step explanation:

please give brainliest I need five brain to go to next level

Answer:

its b

Step-by-step explanation:

its not d i took a test and got it wrong

133 is a whole number. true or false​

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Answer:true

Step-by-step explanation:

the answer will be true :)

Without looking, Luke picks necklace beads from a bag of 52 beads. Half the beads are rough. The other half are smooth. There are 13 red beads, 13 blue beads, 13 green beads, and 13 black beads.

What is the theoretical probability of selecting a rough bead? Write the probability as a fraction in simplest form.

Answers

Answer:

i

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

26/52 simplifies to 1/2

After a discount of 30%, the sale price of a ticket to Cedar Point is $35. What is the original
price? Show your work

Answers

Answer: 116.67

Step-by-step explanation:

30/100 * x = 35

3/10 * x = 35

3x = 350

x = 116.67

Bill is in a class of 23 girls and 27 boys. 40% of the students in the class take the bus to school. How many students take the bus to school?
A. 15
B. 20
C. 30
D. 35​

Answers

Answer: 20 students

Step-by-step explanation: 20 students who take the bus to school. Therefore thirty students do not take the bus to school.

Olivia invested $1000 in an account that pays 2.75% interest
compounded annually. Assuming no deposits or withdrawals are
made, find how much money Olivia would have in the account 13 years
after her initial investment. Round to the nearest tenth (if necessary).

Answers

Answer:

$1,422.87

Step-by-step explanation:

Answer: 1422.9

Step-by-step explanation:

Laura had to write 6 pages for a book report. She figured that since it took her an hour to write one-seventh of a page, it will take her 42 hours to complete her book report. Is Laura correct?

Answers

Yes because 6x_____=42 hours

HELPPPPPP PLEASE I’m confusedddddd

Answers

F I think because of the line and

Help need to know the cross section shape

Answers

Answer:

Step-by-step explanation:

Rectangle

help plss i need help in question 2

Answers

Answer:

Tropic Fresh Fruit Punch

Step-by-step explanation:

You have to find how many cups of concentrate both brands use per cup of water. To do that, you divide the cups of concentrate by the cups of water.

Tropic Fresh Fruit Punch - 22/10=2.2

Merry Berry Fruit Punch - 13/6=2.17 (rounded to the nearest hundredth)

Since 2.2 is bigger than 2.17, Tropic Fresh Fruit Punch has the more fruitier concentration of punch.

Please help need to be done quickly

Answers

It’s the last one, D I guess. It’s the square root of the number surrounding x, so it’s going to be the one with the larger numbers

Answer:

13<x<14

Step-by-step explanation:

try using your calculator using square root

i mean square root 169=13 and square root 196=14

help! its for math ill give u 20 points

Answers

Answer:

11

Step-by-step explanation:

Median is the middle number when you line up all your numbers in numerical order.

hope this helps :)

Tyrone jogged 5 miles along the fitness trail. How many feet did he jog? How many inches did he jog?

Answers

Answer: Tyrone is body built so you can assume he takes very big steps so i'll say about 69 inches

Step-by-step explanation: The math is common sense

Find the volume please help
(Multiple choice)

Answers

Answer:

A. 72 mi³C. 261.8 mi³

Step-by-step explanation:

Volume formula:

V = 1/3Bh, B- base area, h- height

Q1

V = 1/3*6²*6 = 72 mi³Correct choice is A

Q2

V = 1/3*(π*5²)*10 = 261.8 mi³ (rounded)Correct choice is C

7. Are the two triangles similar? How do you know?​

Answers

The Triangles Are Similar Because The Smaller Triangle Is A Scaled Down Version Of The Larger Triangle.

3. Pete is making 8 identical fruit baskets as
gifts. Each basket contains some apples and
12 oranges. Pete uses a total of 168 pieces
of fruit to make the baskets. Determine the
number of apples that are in each basket.

Answers

9 apples per basket

Peter is making 8 identical fruit baskets. If the baskets are identical, that means they all have the same amount of fruit in them. If I know how many apples were used, then I can divide that by the total number of baskets (8) to find out how many apples were used per basket.

12 oranges were used per basket. There were 8 baskets. 12 x 8 = 96, so 96 oranges were used in total.

168 - 96 = 72

There were 72 apples used in total.

There were the same amount of apples in each of the 8 fruit baskets. 72/8 = 9, which means that there were 9 apples per fruit basket.

Help ASAP please I would love to recieve it right away

Answers

Answer:

Step-by-step explanation:

LJ/32=13/7 multiplying each side by 32

LJ=32(13)/7

LJ=416/7

LJ=59.4

Guys I need help, if a couch costs 200 dollars and is marked up 300 percent, what is the cost?

Answers

Answer:

200 X 300% =$600.00

Step-by-step explanation:

Help me please I give brainliest and be serious

Answers

Answer:

y=120

Step-by-step explanation:

y=0.75x-0.15x

x=200

y=0.75x200-0.15x200

y=150-30

y=120

I hope this helps :D

Giving 12 points, need help urgently

Answers

Answer:

-2 -1 0 1 are the only integer solutions

Answer:

{-2, - 1, 0, 1}

Step-by-step explanation:

The integer solutions will be {-2, - 1, 0, 1}

Fernando has 22 coins consisting of nickels and dimes in his pocket,

The total value of the coins is $1.70
which system of equations can be used to determine the number of
nickels, n, and the number of dimes, d, in his pocket? ANSWER CHOICES IS IN THE PICTURE

Answers

Answer:

the lat one should be the right answer

Step-by-step explanation:

The equation that can be used to represent the situation will be:

0.05n + 0.10d = 1.70n + d = 22

Let the number of nickels be represented by n.

Let the number of dimes be represented by d

Therefore, since Fernando has 22 coins consisting of nickels and dimes in his pocket and the total value of the coins is $1.70.

The equation that can be used to represent the situation will be:

0.05n + 0.10d = 1.70

n + d = 22

Read related link on:

https://brainly.com/question/17360719

The price of a car was Rs.1,50,000 last year. It has decreased by 10% this
year. The new price is

Answers

Answer:

$135000

Step-by-step explanation:

150000*(1-0.1)=150000*0.9=135000

Which is the area of the rectangle?

Answers

B is the answer , hope it’s correct

Need help please anyone

Answers

9514 1404 393

Answer:

  A) The angles marked ∠7 and ∠8 are vertical angles.

  B) The angles marked with expressions in y are also vertical angles, so those expressions are equal to each other. Stating this in equation form gives an equation that can be solved for y.

  C) y = 24; ∠7 = ∠8 = 89°

Step-by-step explanation:

A) The angles marked ∠7 and ∠8 are vertical angles, comprised of opposite rays and having a common vertex.

__

B) The angles marked with expressions in y are also vertical angles. Vertical angles are congruent, so those expressions are equal to each other. Stating this in equation form gives an equation that can be solved for y.

__

C) (5y-29)° = (3y+19)°

  2y = 48 . . . . . . . . . . . . divide by °, add 29-3y

  y = 24 . . . . . . . . . divide by 2

Angles 7 and 8 are supplementary to the angles marked with expressions in y.

  ∠7 = ∠8 = 180° -(5y -29)° = 209° -5(24)°

  ∠7 = ∠8 = 89°

Find the distance between −340 and 207 on the number line.

Answers

Answer:

547

Step-by-step explanation:

To find the difference between the 2 numbers, subtract -340 from 207:

207 - (-340)

Subtracting a negative number will change to adding a positive number:

207 + 340

= 547

So, the distance is 547

area: 45. and one side is 8 feet. what is the missing side? (will give brainlist :D)

Answers

Area = length x width
45sqft = 8ft x W
45/8 = W
5.625 ft = W
The missing side is 5.625 feet

Lucas is planting grass on the shaded portions of the yard. What will be the total area covered by​ grass?

Answers

Complete Question:

Lucas is planting grass on the shaded portions of the yard. What will be the total area of covered by grass? Fill in the missing.

Part A= 12 x ? = ? ft²

Part B= 0.5 x ? x 9 = ?ft²

Part C= 0.5 x 7 x ? = ?ft²

Total Area= ?ft²

Answer:

[tex]A = 108ft^2[/tex]

[tex]B = 27ft^2[/tex]

[tex]C = 24.5ft^2[/tex]

[tex]Area = 159.50ft^2[/tex]

Step-by-step explanation:

Given

See attachment

From the attachment;

Part A is a rectangle with dimension 9ft by 12ft

So,

[tex]A = 12ft * 9ft[/tex]

[tex]A = 108ft^2[/tex]

Part B is a triangle with dimension: height = 6 and base = 9

The height is calculated as:

[tex]Height = 12ft - 6ft = 6ft[/tex]

And the base is:

[tex]Base = 18ft - 9ft = 9ft[/tex]

So, the area is:

[tex]B = 0.5 * 6ft * 9ft[/tex]

[tex]B = 27ft^2[/tex]

Part C is a triangle with dimension: height = 7 and base = 7

So, the area is:

[tex]C = 0.5 * 7 * 7ft^2[/tex]

[tex]C = 24.5ft^2[/tex]

Total Area is:

[tex]Area = A + B + C[/tex]

[tex]Area = 108ft^2 + 27ft^2 + 24.5ft^2[/tex]

[tex]Area = 159.50ft^2[/tex]

ok this is a math question if you don't know anything about this go away.


3. A volleyball coach plans her daily practices to include 10 minutes of stretching, 2/3 of the entire practice scrimmaging, and the remaining practice time working on drills of specific skills. On Wednesday, the coach planned 100 minutes of stretching and scrimmaging. How long, in hours, is the entire practice?

Answers

Answer:h

Step-by-step explanation:

F

A rectangle has an area of 170.2m2
One of the sides is 3.7m in length.
Work out the perimeter of the rectangle.​

Answers

Answer:

here

Area = 170.2 M2

Area of rectangle = l *b

let l= 3.7m

170.2 = 3.7* b

b= 46m

now , perimeter = 2(l+b)

= 2( 3.7 + 46)

= 99.4 m

Dalton's dad rode his bike 1 kilometer north, 2 kilometers west,
1 kilometer south, and 2 kilometers east. Dalton rode the same path
5 times. How many kilometers farther did Dalton ride?

Answers

Answer:

24

Step-by-step explanation:

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