All categories

4 years ago

Please help again! ^^

Mathematics

1 answer:

Elina [12.6K]4 years ago

6 0

Answer:

27 cm

Step-by-step explanation:

This is a right triangle, so we can use the Pythagorean theorem

a^2 +b^2 =c^2

a and b are the legs and c is the hypotenuse.We know one of the legs is 13 and the hypotenuse is 30

13^2 + b^2 = 30^2

169 + b^2 = 900

Subtract 169 from each side

169-169 +b^2 = 900-169

b^2 = 731

Take the square root of each side

sqrt(b^2) =sqrt(731)

b = 27.03

You might be interested in

The number by which the dividend is being divided? Means?

Ann [662]

That would be called the quotient.

7 0

4 years ago

Read 2 more answers

5)<br> Solve for x.<br> 2x + 16 = 3(x - 9)<br> My Answer:

Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

2x+16= 3(x-9)

2x+16= 3x-27

3x-2x^^

16= x-17

16+17

x= 33

8 0

3 years ago

Read 2 more answers

Given points A(-1, -2) and B(2, 4) where AP: BP=1:2, find the locus of point P.

koban [17]

Answer:

$x^2 + 4x + y^2 +8y = 0$

Step-by-step explanation:

Given

$A = (-1,-2)$

$B = (2,4)$

$AP:BP = 1 : 2$

Required

The locus of P

$AP:BP = 1 : 2$

Express as fraction

$\frac{AP}{BP} = \frac{1}{2}$

Cross multiply

$2AP = BP$

Calculate AP and BP using the following distance formula:

$d = \sqrt{(x - x_1)^2 + (y - y_1)^2}$

So, we have:

$2 * \sqrt{(x - -1)^2 + (y - -2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}$

$2 * \sqrt{(x +1)^2 + (y +2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}$

Take square of both sides

$4 * [(x +1)^2 + (y +2)^2] = (x - 2)^2 + (y - 4)^2$

Evaluate all squares

$4 * [x^2 + 2x + 1 + y^2 +4y + 4] = x^2 - 4x + 4 + y^2 - 8y + 16$

Collect and evaluate like terms

$4 * [x^2 + 2x + y^2 +4y + 5] = x^2 - 4x + y^2 - 8y + 20$

Open brackets

$4x^2 + 8x + 4y^2 +16y + 20 = x^2 - 4x + y^2 - 8y + 20$

Collect like terms

$4x^2 - x^2 + 8x + 4x + 4y^2 -y^2 +16y + 8y + 20 - 20 = 0$

$3x^2 + 12x + 3y^2 +24y = 0$

Divide through by 3

$x^2 + 4x + y^2 +8y = 0$

3 0

3 years ago

Just do number 12 please

FinnZ [79.3K]

Please make it clear:)

8 0

4 years ago

If m <1= 36 what is the measure of its complement?

Vlada [557]

If A represents an angle, its complement is 90-A.

If m<1 = 36, then its complement is 90-36 (degrees), or 54 (degrees).

3 0

3 years ago