The height of a triangle is 6x and the base is (3x + 10) cm. The area of the triangle is 816 sq. cm. What are the dimensions of the base and the height of the triangle?

Answers

Answer 1

Answer:

Height: 48

Base: 34

Step-by-step explanation:

The formula for a triangle is 1/2(base)(height)

1/2(3x+10)(6x) = 816

18x² + 60x = 1632

18x² + 60x - 1632 = 0

Then, we use the Quadratic formula

x = (-60 ± √3600 + 117,504)/36

x =( -60 ± 348/36)

x = 288/36

x = 8

3(8) + 10

= 34

6(8) = 48

Therefore the dimensions are:

Height: 48

Base: 34


Related Questions

HELP ASAP!!!!!
A 13 ft ladder is resting on a wall. The angle the ladder makes with the floor is 45 degrees. How high off the ground is the top of the ladder?
Use the function y=13cos(theta) to find the answer

Answers

Answer:

The height would be 9.1923 ft

The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is, where I
represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of
the rectangle?
E:
7 in.
8 in.
09 in.
10 in.

Answers

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

I PROMISE YOU, FIRST PERSON TO ANSWER IT 'CORRECTLY' GETS BRAINLY. Monica found a pair of skis that cost $122 more than the times the cost of the sled. The cost of the pair of skis was $197. What was the cost of the sled?

Answers

Answer:

$75 for the sled. (I don't understand "more than the times the cost of the sled")

Step-by-step explanation:

I don't understand "more than the times the cost of the sled" but if you were trying to figure out the cost of the sled, then it would be:

197-122=

75

The first term in a sequence is 4. Each of the next terms in the sequence is 3 more than 2 times the term before. What are the third and fourth terms in the sequence?

Answers

Answer:

4 is the first term of the sequence

The second term would be 2x4+3 = 11

the third term would be 2×11+3 = 25

the forth term would be 2×25+3 = 53

Your sequence is 4,11,25,53

Please help :)))))))!!!

Answers

Answer:

i think its the option one, not sure


y = x^2- X-6
O A. (x-6)(x + 1)
O B. (x+3)(x-2)
O C. (x - 3)(x + 2)
D. (x-6)(x+5)

Answers

C. (X-3)(X+2) I factored the equation

Please help I don’t understand I need help please

Answers

Answer:

the range is from 0 to 6 , so 6

Step-by-step explanation:

Answer:

0-6

Step-by-step explanation:

i think

Solve the system of equations and choose the correct ordered pair.

Answers

Answer:

C (2,5)

Step-by-step explanation:

Adding the equations, we get 10x+y=25

Multiplying that by 2 we get 20x+2y=50

Add that with the first equation, we get 24x=48, x=2.

Plugging x as 2 in, we see y = 5

So its (2,5)

The answer will be C (2,5)

What is the value of m in the equation zman=16, when n=8?
20
32
44
48

Answers

Answer:

32

Step-by-step explanation:

thats what i think, im 99.9% im correct

Desmond wants to buy a card for his wife. Desmond calculates the amount of the card as $4.50. The actual price of card is $4. What is Desmond’s percent error? ​

Answers

Answer:

14.28 percent

Step-by-step explanation:

Express the inequality using interval notation.
x < -4

Answers

Answer:

x< -4 =   ( -∞, -4)

4t+ 3.5 = 2.25 solve the equation ​

Answers

Answer:

-0.3125

Step-by-step explanation:

Subtract 3.5 from both sides

4t = -1.25

Divide both sides by 4

t =. -0.3125

Answer:

1.3335

Step-by-step explanation:

if f(x) = -3x - 5 and g(x)= 4x - 2, find (f-g) (x).

Answers

Answer:

[tex]-7x-3[/tex]

Step-by-step explanation:

[tex](f-g)(x)[/tex] just means [tex]f(x)-g(x)[/tex].

So

[tex]-3x-5-(4x-2)\\-3x-5-4x+2\\-7x-3[/tex]

Find the roots. List your steps correctly. 2 points each (Show ALL steps of work, check each answer, and state the solutions correctly for full credit) a. f (n) = n2 − 6n − 16

Answers

Answer:

use quizlet

Step-by-step explanation:

Answer:

8 and -2

Step-by-step explanation:

f (n) = n² − 6n − 16

n² − 6n − 16=0n²-2*3n+9=25(n-3)²=25n-3=5 ⇒ n=8n-3= -5 ⇒ n= -2

If the slant height of a right cone is 5 inches, and the radius of its base is 3 inches, what is the lateral area of the cone?

π square inches

Answers

Answer:

The laterals area is  15 [tex]\pi[/tex] square inches

Step-by-step explanation:

recall that the formula for the lateral area of a cone of radius R, when the slant height (hs) is given is defined by the formula:

[tex]lateral\,\,area=\pi \,R\,h_s[/tex]

Therefore, in this case, we have:

[tex]lateral\,\,area=\pi \,R\,h_s\\lateral\,\,area=\pi \,3\,*\,5\\lateral\,\,area=15 \, \pi[/tex]

That is 15 [tex]\pi[/tex] square inches

Answer:

15 pi square inches

Step-by-step explanation:

I just did it

Brainliest pls

What is 11 Over 12 divided by one-third?

Answers

Answer:

11/4

Step-by-step explanation:

I did 11/12 divided by 1/3. I hope this is correct if not I'm very sorry.

Answer:

2 3/4 or 11/4

c) Ali had x packets of nasi lemak and shared
them equally among 5 persons. Each
person received 3 packets.​

Answers

Answer:15

Step-by-step explanation:

If each person gets 3 packets and there are 5 people you take 5*3 and get 15

3 women push a stalled car. Each woman pushes with a 425 N force. What is the mass of the
car if the car accelerates at 0.85 m/s??

Answers

Answer:

1,500 Kg

Step-by-step explanation:

Formual for froce is given by

force = mass * acceleration

Force exerted by 1 woman = 425 N

no. of women exerting force = 3

Force exerted by 3 woman = 425 * 3 N = 1275 N

Acceleration produced by 1275 N force = 0.85 m/s^2

Using formula force = mass * acceleration

1275 = mass *  0.85 m/s^2

=> mass = 1275/ 0.85 m/s^2 = 1,500 Kg

Thus, mass of car is 1,500 Kg.

105 is a perfect square. Question 1 options: True False

Answers

Answer:

False

Step-by-step explanation:

105 is not a perfect square

close ones 100 and 121

Niu has decorated x cards he started with 24 stickers and he used 4 stickers per card

Answers

Answer:

6

Step-by-step explanation:

4 stickers each x 6 cards = 24 stickers used

you can try random numbers until you get your answer

Answer:

Total number of cards = 6

Step-by-step explanation:

Number of cards = Total number of stickers/ number of stickers per card

= 24/4

= 6

I need help asap lol

Answers

Answer:

13/38

Step-by-step explanation:

the number of kids who have 1 sibling is 13

the total is 38

13/38

A shepkeeper bought a bottle of cooking oil at $ 4.54 He then sold it for $7.49. inclusive of GST. The GST of 7% of the selling pnce is to be paid to the government.
(A) Find the GST he had to pay (B) Find the profit in selling one bottle of cooking oil.​

Answers

Answer:

GST = $0.32

PROFIT = $2.63

Step-by-step explanation:

GST = 7% of $4.54 = 0.32

Profit = 7.49 - ( 4.54 + 0.32)

= 7.49 - 4.86

= 2.63

My parents met on January 1st 1998, my mother was born on May 18th, 1975, my father was born on February 14th 1974.
At what date has my mom known my father for longer than she lived before meeting him.
At what date has my dad known my mother for longer than he lived before meeting her.
Thank yall for the help!

Answers

Answer:

Father: 23 years

Mom: 24 years

2/5 +2/3 is equal to

Answers

Answer: 16/15

Step-by-step explanation:

2/5 + 2/3

(3/3)2/5 + (5/5)2/3

6/15 + 10/15 = 16/15

Answer:

1 1/15

Step-by-step explanation:

To solve this, you must find a common denominator.

The common denominator that comes to my mind is 15.

2/5 = 2*3/5*3

2/5= 6/15

2/3= 2*5/3*5

2/3= 10/15

6/15 + 10/15 = 16/15

16/15= 1 1/15

Use the following picture to answer the questions.

Answers

Step-by-step explanation:

We know that measure of all right angles = 90 degrees

m<TPS = 45 degrees

m<QPV = 45 degrees

Our Town Bakery is counting the amount of cookies sold in 14 days. The bakery sold 316 cookies each day. How many coplies did they sell in all during those 14 days?

Answers

Answer:

4,424 cookies

Step-by-step explanation:

14 times 316 is 4,424 cookies.

need help please ! parallelogram

Answers

Answer:

11). m∠W = 70°

12). m∠M = 95°

13). m∠Q = 135°

14). m∠Q = 55°

15). m∠X = 110°

Step-by-step explanation:

11). m∠W + m∠X = 180° [Consecutive interior angles]

    (24x - 2) + (36x + 2) = 180°

     60x = 180°

     x = [tex]\frac{180}{60}[/tex]

     x = 3

     Therefore, m∠W = (24x - 2)°

     m∠W = (24×3 - 2)

               = 72 - 2

               = 70°

     Since opposite angles of a parallelogram are equal in measure.

     m∠Y = m∠W = 70°

12). m∠J + m∠K = 180° [Consecutive interior angles]

     (6x + 19) + (8x + 7) = 180°

     14x + 26 = 180

     14x = 180 - 26

     14x = 154

     x = [tex]\frac{154}{14}[/tex]

     x = 11

     m∠K = (8x + 7)

     m∠K = 8×11 + 7

     m∠K = 95°

     Since m∠M = m∠K

     Therefore, m∠M = 95°

13). m∠Q = m∠S [Opposite angles of a parallelogram]

      x + 135 = 2x + 135

      2x - x = 0

      x = 0

      Therefore, m∠Q = 135°

14). m∠Q = m∠S [Opposite angles of a parallelogram]

      14x - 1 = 13x + 3

      14x - 13x = 3 + 1

      x = 4

      m∠Q = (13x + 3)

                = 13×4 + 3

                = 52 + 3

      m∠Q = 55°

15). m∠Z = m∠X

     (19x - 4) = (17x + 8)

      19x - 17x = 12

      2x = 12

      x = 6

      m∠X = (17x + 8)°

      m∠X = 17×6 + 8

      m∠X = 110°

Please hurry
What is the equation of the line that is parallel to the linear graph of
y = 2x – 1 and passes through the point (-1, 1)?

Answers

Answer:

y=2x+3

Step-by-step explanation:

Parallel: slope is 2

y-1=2(x+1)

y-1=2x+2

y=2x+3

Which rule describes the translation KLMN - K’L’M’N

Answers

the correct answer is D :)
D is the right answer

Use the information to estimate the number of swimmers on the team.
A swim team is divided into age groups: Guppies Stingrays and Sharks. There are 20 swimmers in
the Stingray group. If we randomly select 10 swimmers and 4 are Stingrays. How many swimmers can
we estimate are on the team?
We can estimate that there are___Swimmers on the team


Need help

Answers

Answer:

50 Swimmers

Step-by-step explanation:

If 4/10 swimmers are stingrays, that means that roughly 40% of the swimmers are stingrays. If there are 20 Stingrays and that is 40% of 100% swimmers it means that stingrays make up 2/5 of the swim team members. You can use this equation to cross multiply:

20/x = 40/100

20/x = 4/10

20/x = 2/5

x = 50.

This shows that there are 50 people on the team.

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