Answer: width = 36 m
Step-by-step explanation:
Width = Volume / (height x length)
Width = 13500 / (25 x 15)
= 13500/375
= 36 m
1. To solve for x, you can see that nearby C and D, the two angles are equal. We can ,therefore, make an equation and solve it:
5x - 29 = 3x + 19
- 3x
2x - 29 = 19
+ 29
2x = 48
÷ 2
x = 24
2. So for this part you would substitute the value of x and then minus that angle from 180:
3 × 24 = 72
72 + 7 = 79°
180 - 79 = 101° = ∠1
3. 180 = 101 = 79° = ∠2
4. 180 - 79 = 101° = ∠3
5. Angle 4 is equal to angle 3 because there is an alternate angle (z angle) so 101° = ∠4
6. 180 - 101 = 79° = ∠5
7. 180 - 101 = 79° = ∠6
8. To find angle 7, you have to substitute in x again, so:
5 × 24 = 120
120 - 29 = 91
180 - 91 = 89° = ∠7
9. Angle 8 is the same as angle 7 because they are opposite angles, so 89° = ∠8
10. Angles 2 and 3 are supplementary, which means they add up to 180°.
I hope this helps! :)
Answer: A, 102
Step-by-step explanation:
Okay so just find the big square and subtract the holes
big square is 30x20 which is 600
hole #1 is 20x5 = 100
hole #2 is a triangle so you first find the base and height which are 10 and 5 respectively. Then use the triangle area formula a = 1/2bh to find that the triangle's area is 25.
Subtract the holes now
600-100-25 = 475
1 Gallon = 200 square feet covered so divide 475 by 200 to find how many gallons should be used. It's 3 gallons since you can't just buy a fraction of a gallon (Unless your being weird).
One gallon is 34, so 3 gallons is 3*34 = 102
Or in other words... A
hope you learned and can incorporate these methods for future problems :D!
This is a simple problem
First, take common sense and apply it here. The problem doesn't specifically tell you what the shape ACTUALLY is, but we can also apply what we know about geometry here, as well as what we know in general. Fish tanks most commonly come in 2 shapes: Square's and Rectangles. Fish tanks are what we call "3D" objects (meaning it's just not flat like a piece of paper", and the shapes are known as "Cubes and Rectangular Prisms".
Well, we know that squares/cubes have to have even sides. The problem states the tank is 5(l) by 2(w) by 2(h). This means it CAN'T be a cube, thus meaning it's a rectangular prism.
Now, to calculate volume, we have to know the formula. For this, the formula for volume is as follows: V=lwh
This means Volume=Length*Width*Height
So, do replace the words with what you know you already have. Let's make a list:
Length=5
Width=2
Height=2
V=lwh-----V=5*2*2
Now, work it out. 5*2=10*2=20, Left to right
Your answer here is V=20
~Hope this helps!
A straight line is equal to 180, anything going all around is 360 if the angles are crossing eachother then the angles across from eachother are equal so x=z
X+150=180, Im not good at explaining sorry, but i know what I’m doing yk just lmk sorry if it didn’t help
