All categories

3 years ago

URGENT!!! PLEASE LOOK AT THE PICTURE!!! PLEASE HELP!!!!

Mathematics

1 answer:

Svetllana [295]3 years ago

7 0

Answer:

Step-by-step explanation:

this is a 45-45-90 triangle. The angle opposite the 45° angle is also 45°.

HI = HJ because this is an isosceles triangle.

Use the cos function to find the length of HJ:

cos Ф = adj / hyp or adj = (hyp)(cos Ф).

Here we have adj = HI = HJ = 4√5 cos 45° = 4√5 · -----

√2, or 4√5 / √2

4√10

This last result simplifies to ----------

or 2√10 (answer)

The length of side HJ and that of HI is 2/√10.

You might be interested in

Answer for a follow...

torisob [31]

24 bottles in total.....6 orange and 4 apple

probability of first picking an orange is 6/24 reduces to 1/4
probability of second picking an apple is 4/23

probability of both is 1/4 * 4/23 = 1/23

7 0

3 years ago

Zachary went to the store to buy some walnuts. The price per pound of the walnuts is

Katen [24]

The answer is 12.50 and equation is y=5.25p -3.25

5 0

2 years ago

ΔMNP is an isosceles triangle with MN ≈NP. If ∠ M = 3x + 1 and ∠ N = x - 11. What is the measure of ∠P?

s2008m [1.1K]

Start with an equation summing all the angles in this triangle:

180 = <M + <N + <P

we are given <M and <N but not <P. But, since MN=NP, the angle <P is the same as the angle <M (isosceles, make a drawing to see). So

180 = 2<M + <N

180 = 2(3x+1) + x-11

180 = 7x - 9

x = 27

<P = 3*27+1 = 82 degrees

4 0

3 years ago

3x+4y=11 x-2y=2 solve the system of equations

Ghella [55]

Answer
4.667

Step by step explanation

1.1 Solve 14x-3y+2=0

8 0

3 years ago

The sides of a rectangle have length x+ 2 and width x -5. Which equation describes the area, A, of the rectangle in terms of x?

Yakvenalex [24]

Answer:

The area in factored form is $A=(x+2)(x-5)$ .

The area in standard form is $A=x^2-3x-10$ .

Step-by-step explanation:

The area of a rectangle is length times width.

So the area here is (x+2)(x-5).

They are probably not looking for A=(x+2)(x-5) because it requires too little work.

They probably want A in standard form instead of factored form.

Let's use foil:

First x(x)=x^2

Outer: x(-5)=-5x

Inner: 2(x)=2x

Last: 2(-5)=-10

---------------------Adding together: $x^2-3x-10$ .

The area in factored form is $A=(x+2)(x-5)$ .

The area in standard form is $A=x^2-3x-10$ .

4 0

2 years ago