Answer:
<em>Perimeter of ABC = AB + BC+AC. Replace letters with equations.</em>
<em>3x^2-7x+2</em><em> = </em><u><em>2x^2-10x+6 + x^2-x-4 + AC</em></u><em> = </em><em>3x^2-11x+2 + AC</em><em>.</em>
<em>AC = 4x;</em>
Answer:
6.9 foot.
Step-by-step explanation:
Given: Length of lamp post= 12-foot.
The angle of elevation of the sun is 60°.
∴ The length of Lamp post, which is opposite is 12-foot.
Now, finding the length of shadow cast by foot lamp.
Length of shadow is adjacent.
∴ We know the formula for
= 
Next, putting the value in the formula.
⇒ 
Cross multiplying both side and using the value of Tan 60°
∴ Adjacent=
≅ 6.9 (nearest tenth value)
6.9 is the length of shadow cast by a 12-foot lamp post.
The area of the tennis court is computed by multiplying the dimensions given,
A = 120' x 80'
A = 9600 ift
Then, we convert the area in ft² to acres,
A = (9600 in²)(2.3 x 10^-5/ 1 in²)
A = 0.24 acre
The portion of land remaining is,
A of remaining = 0.25 acre - 0.24 acre
= 0.1 acre
The remaining portion is for Andre's studies.
This, 0.1 ft² is equal to the 4% of the given area of the court.
This seems like a right triangle problem.
So assuming 14 feet is the hypotenuse and 4 feet is a leg of the right triangle, we can use the pythagorean theorem (
) to solve for the height of the house, in which we shall name it x.
So, the equation is
.
Solve for x:
16+x^{2}= 196
x^{2}= 196-16
x^{2}= 180
x = 6√5 feet
Hope this helps!
Answer:
14a + 20
Step-by-step explanation:
8(a + 2) + 2(2 + 3a)
expand the bracket
8a + (8*2) + (2*2) + (2*3a)
8a + 16 + 4 + 6a
bring like terms together
8a + 6a + 16 + 4
14a + 20