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Fantom [35]
2 years ago
6

the height of a right angled triangle is 7cm long and hypotenuse is 25cm long.what will be the area of the triangle​

Mathematics
1 answer:
photoshop1234 [79]2 years ago
3 0
Since you’re already given one of the sides of the triangles as well as the triangle’s hypotenuse, you’ll want to find the third side to find the area.

To find the third side length, we’ll use the Pythagorean Theorem:

a^2 + b^2 = c^2

“a” and “b” can be used interchangeably, so we can substitute the known side length of 7 cm into “a”. 25 cm substitutes for “c” since it’s the hypotenuse.

(25)^2 - (7)^2 = c^2

c = 24

Area of triangle = (1/2)bh, where “b” and “h” are interchangeable.

Area of triangle = (1/2)(24)(7) = 84 cm^2
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I need to know how to solve this statistics answer
8_murik_8 [283]

Given,

The value of N is 7.

The mean of the data is 13.

Required

The value of sum of the data.

The mean is calculated as,

\begin{gathered} Mean=\frac{\sum_x}{N} \\ 13=\frac{\sum_x}{7} \\ \sum_x=13\times7 \\ \sum_x=91 \end{gathered}

Hence, the value of sum of data is 91.

8 0
1 year ago
Are these equations infinite solution, no solution, or one solution?
Karo-lina-s [1.5K]

Answer:

1) one solution

2) Infinitely many solution

3) no solution

Step-by-step explanation:

The first equation is -14-8x=-2(-3x+7)

Let us expand the right hand side to get:

-14-8x=-2*-3x+-2*7

We multiply -14-8x=6x-14

We group similar terms to get:

-8x-6x=-14+14

Combine similar terms to get:

-14x=0

Divide through by -14 to get:

x=0

2) The second equation is 3+5x=5(x+2)-7

We expand to obtain:

3+5x=5x+5*2-7

Multiply to get:

3+5x=5x+10-7

This gives us

3+5x=5x+3

5x=5x

1=1

There is infinitely many solutions

3) The third equation is: 36-7x=-7(x-5)

We expand to get:

36-7x=-7x+35

Group similar terms;

-7x+7x=35-36

0=-1

This statement is not true so there is no solution.

5 0
3 years ago
if you multply two decimals that are less than 1 , can you predict whether the product will be less than or greater than either
nekit [7.7K]
Yes.  Multiplying anything by a number less than one will decrease the original number.  So multiplying two decimals will result in a number less than either one.
7 0
3 years ago
Can u pls help me with this question
Cloud [144]


You have to solve for the amount of readers.
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4 0
2 years ago
Can someone plz help me with this!
asambeis [7]

Answer:

(arranged from top to bottom)

System #3, where x=6

System #1, where x=4

System #7, where x=3

System #5, where x=2

System #2, where x=1

Step-by-step explanation:

System #1: x=4

2x+y=10\\x-3y=-2

To solve, start by isolating your first equation for y.

2x+y=10\\y=-2x+10

Now, plug this value of y into your second equation.

x-3(-2x+10)=-2\\x+6x-30=-2\\7x=28\\x=4

System #2: x=1

x+2y=5\\2x+y=4

Isolate your second equation for y.

2x+y=4\\y=-2x+4

Plug this value of y into your first equation.

x+2(-2x+4)=5\\x+(-4x)+8=5\\x-4x+8=5\\-3x=-3\\x=1

System #3: x=6

5x+y=33\\x=18-4y

Isolate your first equation for y.

5x+y=33\\y=-5x+33

Plug this value of y into your second equation.

x=18-4(-5x+33)\\x=18+20x-132\\-19x=-114\\x=6

System #4: all real numbers (not included in your diagram)

y=13-2x\\8x+4y=52

Plug your value of y into your second equation.

8x+4(13-2x)=52\\8x+52-8x=52\\0=0

<em>all real numbers are solutions</em>

System #5: x=2

x+3y=5\\6x-y=11

Isolate your second equation for y.

6x-y=11\\-y=-6x+11\\y=6x-11

Plug in your value of y to your first equation.

x+3(6x-11)=5\\x+18x-33=5\\19x=38\\x=2

System #6: no solution (not included in your diagram)

2x+y=10\\-6x-3y=-2

Isolate your first equation for y.

2x+y=10\\y=-2x+10

Plug your value of y into your second equation.

-6x-3(-2x+10)=-2\\-6x+6x-30=-2\\-30=-2

<em>no solution</em>

System #7: x=3

y=10+x\\2x+3y=45

Plug your value of y into your second equation.

2x+3(10+x)=45\\2x+30+3x=45\\5x=15\\x=3

3 0
3 years ago
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