The price of one hot dog was $1.65
<u>Step-by-step explanation:</u>
Given that each of the four brothers bought two hotdogs and a packet of chips each.
Total number of hotdogs they bought=4*2 =8
Total bags of chips they bought= 4
price of a bag of chips=$1.25
Total price of items=$18.2
let the price of a hotdog=x
then
8x+5=18.2
8x=18.2-5
8x=13.2
x=13.2/8
=1.65
The price of one hotdog=$1.65
Answer:

Step-by-step explanation:
Please refer to the attached diagram. (Apologies if the shading or resolution is a bit off.)
So, we want to find θ.
Since we formed a right triangle, we can use right triangle ratios.
We know the measure of the adjacent side to θ and the hypotenuse.
Therefore, we will use the cosine ratio:

The adjacent side is 2 and the hypotenuse is 15. By substitution:

Now, we will take the inverse cosine of both sides. So:

Use a calculator. Hence:

The angle between the ground and the ladder is about 82.34°.
Answer:
x = -11
Step-by-step explanation:
I'm assuming it's an isosceles triangle so 32 + 2x = 10;
subtract 32 from both sides;
2x = -22
x = -11
Answer:
m=-2
Step-by-step explanation:
As the product of the roots of a quadratic equation is c/a in ax^2+bx+c=0
here a=2, b=+8, c=-m^3
Given c/a=4
-m^3/2=4
-m^3=8
m^3= -8
m=-2.