Area is length times width in this scenario. The length is going to increase by 3; this can be expressed by the term L+3. The width is 5, but the total area is going to be 90. Your expression should look like this:
5(L+3)=90
First, multiply the 5 on the left side of the equation.
5L+15=90
Subtract 15 from both sides to get the coefficient and the variable by itself.
5L=75
Divide by 5 on both sides to get the variable alone.
L=15
You're not done yet. Remember, you must add 3 back into L to get the new length. The original garden would have been 15 meters in length, but the new length of the new garden will be 18 meters.
To check this, use the formula for area.
18(5)=90
90=90
Answer:
The angles are adjacent because they have a common side and vertex. Basically, they are both right next to each other.
x = 28
Step-by-step explanation:
When (x + 6)° and 56° are added together, they need to equal 90° since they are both parts of a right angle.
(x + 6) + 56 = 90
x + 62 = 90
x = 28
<h2><u>EQUATIONS</u></h2>
We'll solve this equation:
<h3>5x + 17 = 4(3x - 1)</h3>
First, let's apply the distributive property:
5x + 17 = 4(3x - 1)
5x + 17 = 12x - 4
Now, add 4 to both sides of the equation:
5x + 17 = 12x - 4
5x + 17 + 4 = 12x - 4 + 4
5x + 21 = 12x
Substract 5x from both sides:
5x + 21 = 12x
5x - 5x + 21 = 12x - 5x
21 = 12x - 5x
21 = 7x
Now, divide both sides by 7
21 ÷ 7 = 7x ÷ 7
<h3> 3 = x</h3>
Therefore, x = 3.
<h3>B. The equation has one solution.</h3>
Answer:
24 cm³
Step-by-step explanation:
Volume of a cylinder is three times of a cone with same measurements
volume of cone is 8cm³
then,volume of cylinder is 8 × 3 = 24
You can take out 2x^3 from both terms making it
2x^3 (15+8x^2)
Answer is B
