you times each side by the number
Answer: The hook would be 2.2 inches (approximately) above the top of the frame
Step-by-step explanation: Please refer to the picture attached for further details.
The top of the picture frame has been given as 9 inches and a 10 inch ribbon has been attached in order to hang it on a wall. The ribbon at the point of being hung up would be divided into 5 inches on either side (as shown in the picture). The line from the tip/hook down to the frame would divide the length of the frame into two equal lengths, that is 4.5 inches on either side of the hook. This would effectively give us two similar right angled triangles with sides 5 inches, 4.5 inches and a third side yet unknown. That third side is the distance from the hook to the top of the frame. The distance is calculated by using the Pythagoras theorem which states as follows;
AC^2 = AB^2 + BC^2
Where AC is the hypotenuse (longest side) and AB and BC are the other two sides
5^2 = 4.5^2 + BC^2
25 = 20.25 + BC^2
Subtract 20.25 from both sides of the equation
4.75 = BC^2
Add the square root sign to both sides of the equation
2.1794 = BC
Rounded up to the nearest tenth, the distance from the hook to the top of the frame will be 2.2 inches
Jaime is incorrect, the angle does not depend on the radius of the circles.
<h3>Is Jaime correct?</h3>
Remember that an angle that defines an arc on a circle, does not depend on the radius of the circle.
So, if we have an angle with a measure of π/3 radians in a circle with a radius of 3 inches and an angle with a measure of π/3 radians in a circle with a radius of 6 inches, these two angles are exactly the same thing.
The radius of the circle only has an impact on the length of the arc defined by the angle.
So Jaime is clearly incorrect.
If you want to learn more about angles:
brainly.com/question/17972372
#SPJ1
The answers
1)-7
2)-1.5
3) 2
The cost for each pound of trail mix and each pound of jelly is given below.
Step-by-step explanation:
Let t = cost/pound of trail mix
Let j = cost/pound of jelly beans
5t + 6j = 35
3t + 2j = 15 = > 2j = 15 - 3t
5t + 3(15 - 3t) = 35
5t + 45 - 9t = 35
- 4t + 45 = 35
- 4t = - 10
4t = 10
t = 2.5
3(2.5) + 2j = 15
7.5 + 2j = 15
2j = 7.5
j = 3.75