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Nataly_w [17]
3 years ago
7

7. Find the length of HP. 12 P 9 H

Mathematics
2 answers:
borishaifa [10]3 years ago
5 0

Answer and Step-by-step explanation:

To find the length of HP, we must use the Pythagorean Theorem.

This theorem helps us solve for the sides of any <em><u>right</u></em> triangle.

The equation for the Pythagorean Theorem is:

a^{2}+ b^{2} = c^{2}, in which a and b are the legs, while c is the hypotenuse.

Let's plug in our values into the equation to find the length of HP.

We will use the variable x to represent HP.

9^{2}+ 12^{2} = x^{2} \\\\\\Square.the.9.and.the.12.\\\\\\81 + 144 = x^2\\\\\\Add.\\\\\\225 = x^2\\\\\\Square.both.sides.\\\\\\\sqrt{225}  = \sqrt{x^2} \\\\\\15 = x = HP

<u>So, we get our answer to be 15.</u>

<u></u>

<u>The length of HP is 15.</u>

<u></u>

<u></u>

<u></u>

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

bearhunter [10]3 years ago
4 0

Step-by-step explanation:

hope it is helpful to you

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Subtract. What is the (9 x 10 to the power of 10) - (4 x 10 to the power of 10) in scientific notation?Subtract. What is the (9
bezimeni [28]

Answer:

5*10^10

Step-by-step explanation:

10 to the power of 10 is 10^10.

10^10*9 is 90000000000

10^10*4 is 40000000000

90000000000-40000000000=50000000000

5*10^10

8 0
3 years ago
X squared+6x+5 what is this factorise
NISA [10]
Well, your question is basically;
x²+6x+5
   Well first you have to find two numbers that when added will give you +6 and when multiplied will give you 5. Well, in this case, the numbers are; (+1 and +5). So you add them to the equation. So;
x²+1x+5x+5
  Hope you noticed that 6x was removed. Anyway;
   You have to put the equation in two brackets with two terms in each
(x²+1x)+(5x+5)
   Next, you bring out what is commom in each bracket and use it to divide what is in the bracket
x(x+1)+5(x+1)
   Now you notice that the two things in the bracket are the same. They have to be.
Next, you put the terms outside the bracket together and choose one of the terms in a bracket. So;
(x+5) (x+1)
     So the equation factorised is (x+5) (x+1). But if you want to go ahead to find x, then you can say;
(x+5)                             (x+1)
x+5=0                             x+1=0
Take the +5 over            Take the +1 over the equal to, where it becomes -1. So;
the equal sign where      x=-1
it becomes -5. So;
x=-5                        OR    x=-1
   By the way, here's a little secret, the answers are always the opposite of the two numbers chosen at the beginning(+1 and +5). Hope i helped. If you have any more problems, let me know.
4 0
3 years ago
First answer I will give you brainleyist
asambeis [7]
Answer: C 6 cm
Sorry if I’m wrong
8 0
3 years ago
A cone has a radius of 10 cm and and height of 9 cm. What is the approximate volume of the cone? Use 3.14 for π.
astraxan [27]

Answer:

The volume of the cone is 942cm^3

Step-by-step explanation:

The given cone has a radius of 10 cm and and height of 9 cm.

The volume of a cone is given by:

V=\frac{\pi r^2h}{3}

We substitute r=10 and h=9 ,  \pi=3.14 to obtain:

V=\frac{3.14*10^2*9}{3}

Simplify exponents to get:

V=\frac{3.14*100*9}{3}

Simplify:

V=314*3\\V=942cm^3

Therefore the volume of the cone is 942cm^3

8 0
3 years ago
Please factorise the equations in the doc bellow ASAP. please show full working
ad-work [718]

Answer:

b. x² + 8x + 12 =

1. use the factoring X (see attachment)

2. 6 x 2 = 12; 6 + 2 = 12

3. (x + 6)(x + 2) = 0

4. x = -6, -2

c. x² + 13x + 12 =

1. 12 x 1 = 12; 12 + 1 = 13

2. (x + 12)(x + 1) = 0

3. x = -12, -1

c. x² + x - 12 =

1. 4 · (-3) = -12; 4 - 3 = 1

2. (x +4)(x - 3) = 0

3. x = -4, 3

f. x² + 15x + 36 =

1. 12 x 3 = 36; 12 + 3 = 15

2. (x + 12)(x + 3) = 0

3. x = -12, -3

hope this helps :)

8 0
3 years ago
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