Answer:
278
Step-by-step explanation:
y = 9(85)-487
y = 765-487
y = 278
We can use ratios, in other words, if one part of the photo is changed x times, how many times does the other part change?
We can set up the proportion as :
width 1 : length 1 = width 2 : length 2
20 : 30 = 5 : x
We do inverse multiplication, or multiply the outer with outer and inner with inner (W1 * L2 and L1 * W2)
20*x = 30*5
20x = 150
Divide all by 10
2x = 15
Divide all by 2 to isolate x
x = 15/2
x = 7.5cm
Answer:
The volume of the metal used is 5277.9 cm³.
Step-by-step explanation:
The volume of a cylinder is given by:

Where:
r: is the radius
h: is the height = 50 cm
The volume of metal (
) can be found by subtracting the internal volume (
) from the external volume (
):

The external radius is given by the sum of the internal radius with the tickness:

Hence, the volume is:

Therefore, the volume of the metal used is 5277.9 cm³.
I hope it helps you!
Answer:
x = 4 for Lines U and V to be parallel
<u>Skills needed: HS Geo, Angle Theorems, Equations</u>
Step-by-step explanation:
1) We see that there are two angle measures given to us. There is an angle marked with the measure of
°, and the other is marked with (
)°.
- First of all, these two angles are categorized alternate interior angles. They are on alternate sides of the transversal, and are within the two lines (not on the outer side of the lines). I will add an image for reference regarding this idea.
- If 2 lines are parallel, alternate interior angles are congruent. This means that:
2) Solving this equation is fairly straightforward.
(add 2 to both sides in order to get the
by itself.
(to get
by itself)- 132 divided by 33 is 4, and 33x divided by 33 is x, so

--------------------------------------------------------------------------------------------------------------Hope you understood, have a great day.
Volume of cuboid=abc
Volume of prism :-
- Area of base×Height
- ab ×c
- abc
Same volume i.e 39 units²
If a,b,c=a,b,c