Answer:
a^2 + 4a/b + 4/b^2
Step-by-step explanation:
Which of the following is equivalent to (a + b/2) ^2?
Hello!
To find the volume of a cylinder, use the formula: V = πr²h.
In the formula, r is the radius, and h is height of the figure.
In the given figure, the height of the cylinder is 8 feet and the radius is 5 feet. With those values, we can find the volume of the given figure.
V = π(5)²(8)
V = π(25)(8)
V = 200π, 628.32 (multiplied by π), 628 (multiplied by 3.14)
Therefore, the volume of this cylinder is 628.32 feet cubed.
Let's solve for x.
x
+
4
y
=
(
14
)
(
3
)
x
+
7
y
Step 1: Add -42x to both sides.
x
+
4
y
+
−
42
x
=
42
x
+
7
y
+
−
42
x
−
41
x
+
4
y
=
7
y
Step 2: Add -4y to both sides.
−
41
x
+
4
y
+
−
4
y
=
7
y
+
−
4
y
−
41
x
=
3
y
Step 3: Divide both sides by -41.
−
41
x
−
41
=
3
y
−
41
x
=
−
3
41
y
Answer:
x
=
−
3
41
y
Answer:
The height of the parallelogram is 2.11 cm.
Step-by-step explanation:
Area of the parallelogram is equal to multiplication of base and height.
Given:
Parallelogram has base of 4.5 cm.
Are of the parallelogram is 9.495 cm².
Equation is 4.5x=9.495
Calculation:
(a)
Are of the parallelogram is the product of base length and height of the parallelogram.
Area of the parallelogram is expressed as follow:
A=lh
Substitute 9.495 cm² for A and 4.5 cm for l in above equation as follows:
9.495=4.5h …… (1)
Now relate the equation (1) and given equation. So, here x is nothing but the height of the parallelogram.
(b)
From equation (1), height of the parallelogram is calculated as follows:
9.495=4.5h

h=2.11 cm
Thus, the height of the parallelogram is 2.11 cm.
Answer:
3/4
Step-by-step explanation:
To answer this question we must first calculate the area of GHJK:
- A= GH*HJ
- A= (LM/2)* (MN/2)
- A= LM*MN/4
- LM/MN is the area of LMNO
- So the area of LMNO is 4 times the area of GHJK
- A is the area of LMNO and S the area of GHJK
- S= A/4
- A-S= A-A/4 = 3A/4
- so the area that is not shaded is 3/4