All categories

2 years ago

the height of a triangle is 7cm greater than its base and its area is 15cm squared. find the value of its height

Mathematics

1 answer:

Rudiy272 years ago

5 0

Answer:

Step-by-step explanation:

Let base be b, height be h

h = 7+b or we can say that b = h -7

A = 15 cm²

General formula for area of a triangle

A = b · h

Substitute what we know to find the height h

15 = (h-7) · h

15 = h² -7h

0 = h²-7h -15

h = (7 ±√49 + 4·1·15)/2

h = (7 ±√109)/2

h ≈ -1.72 reject this solution because height cannot be negative

h ≈ 8.72 cm

You might be interested in

I need answer Immediately pls!!!!!!!

Anuta_ua [19.1K]

Answer:

1/14

Step-by-step explanation:

There is only 1 common multiple of 4 and 6 between 1 and 14.

So the probability is:

$P = \frac{1}{14}$

8 0

3 years ago

Read 2 more answers

Dr. Oswald conducts a study examining the relationship between the number of friends one has and the experience of daily stress

Alina [70]

Answer:

I believe the answer is: These scores are more likely to have an effect because of the large sample size

In asking about satisfaction, the data could only come from the life experiences or personal principle of the individuals in the samples. Because of this, the scores would have relatively same effect regardless of the amount of sample size that the researchers use.

6 0

3 years ago

Is x=12 a solution to the given inequality x > 5

Ludmilka [50]

Answer: True

Step-by-step explanation:

Substitute 12 for x in the inequality

x > 5

12 > 5

12 is greater than 5 so x = 12 is a solution to x > 5

4 0

2 years ago

4x-11y=68 ; 6x+5y=-27 by elimination

zimovet [89]

Answer:

$x=\frac{1}{2}\\\\y=-6$

Step-by-step explanation:

Given the following system of equations:

$\left \{ {{4x-11y=68} \atop {6x+5y=-27}} \right.$

In order to solve the system of equations using the Elimination Method, you can follow these steps:

- Multiply the first equation by -6 and the secondd equation by 4.

- Add both equations.

- Solve for "y".

Then:

$\left \{ {{-24x+66y=-408} \atop {24x+20y=-108}} \right\\.........................\\86y=300\\\\y=\frac{-516}{86}\\\\y=-6$

- Substitute the value of "y" into one of the original equations and solve for "x":

$6x+5(-6)=-27\\\\6x=-27+30\\\\x=\frac{3}{6}\\\\x=\frac{1}{2}$

4 0

3 years ago

Rachel plays a game by rolling two number cubes with sides numbered 1 through 6 to win the game the sum of the numbers facing up

Artist 52 [7]

The probability that Rachel will win the game is: 1/12

Step-by-step explanation:

The number cubes has six sides numbered between 1 to 6. the chances of each number are equally likely

Let S be the sample space

The sample space has 6*6 = 36 outcomes.

Now, Let A be the event that the sum of numbers on both number cubes is 10

A = {(4,6),(5,5), (6,4)

n(A) = 3

$P(A)= \frac{n(A)}{n(S)}\\=\frac{3}{36}\\=\frac{1}{12}$

The probability that Rachel will win the game is: 1/12

Keywords: Probability, Sample

Learn more about probability at:

#LearnwithBrainly

7 0

3 years ago