Hello!
Question 1
We first have to convert everything to yards since the concrete is charged by the cubic yards
15 feet = 5 yards
15 feet = 5 yards
3 inches = 0.08333
Multiply these to find the volume
5 * 5 * 0.08333 = 2.08325
Multiply this by the cost
2.08325 * 46 = 95.83
The answer is C) $95.83
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Question 2
You have to find the volume of the first pyramid
The equation we use is

V is volume
l is length
w is width
h is height
Put in the values we know

Multiply

Divide
V = 2389.3333
Now we use this to find the side length of the second pyramid

Multiply both sides by 3
<span>7167.999 = lw * 112
</span>
Divide both sides by 112
63.9999 = lw
Since it is a square pyramid we know that sides are equal
63.999 = l^2
Take the square root of both sides
8 = l
The answer is B) 8in
Hope this helps!
Focus on triangles DFC and DFE:
- They are both right triangles because DF is perpendicular to EC
So, the two triangles are congruent. It follows that CF=FE, and in particular

And since x=3, the length of EF is

Answer:
1. b d
2. is c or d
3. a or c
4. b or c
5. c
Step-by-step explanation:
Answer: x = 4
Step-by-step explanation:
2(x+1)=10
Distributive properties
a*(b+c)=(a*b)+(a*c)
Using distributive properties
Then
2*(x+1)=(2*x)+(2*1)
2*(x+1)=2x+2
Now, commutative properties
a*b=b*a
Addition is cumulative
a+(-b)=(-b)+a
Therefore applying to 2x+2
2x+2+(-2)=2x+(-2)+2
Then, applying to the equation
2x+2+(-2)=10+(-2), +×-=-
2x+2 -2=10-2
2x=8
Using division properties
ax=b
If a is none zero
Then ax/a=b/a
Therefore x=b/a
Applying that to 2x=8
2x=8. Divide both side by 2 which is none zero
2x/2= 8/2
x=4
Option B
Subtraction Property of equality
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Answer: D
Multiplying the x^3 term by 4 means it’s stretching it vertically, adding the minus sign means it’s flipping it about the x-axis, and subtracting 5 means it’s moving it down by 5 units.