Answer:
x = 28 cm
Step-by-step explanation:
Given:
Area of link shaded regions = 84 cm²
Required:
The value of x (diameter of the semicircle/length of the rectangle)
Solution:
Diameter of the semicircle = 2r = x
Length of rectangle (L) = 2r = x
Radius of semicircle (r) = ½x
Width of rectangle (W) = radius of semicircle = ½x
Use 3.14 as π
Area of the link shaded regions = area of rectangle - area of semicircle
Thus:
Area of the link shaded regions = (L*W) - (½*πr²)
Plug in the values
84 = (x*½x) - (½*3.14*(½x)²)
84 = x²/2 - (1.57*x²/4)
84 = x²(½ - 1.57/4)
84 = x²(0.5 - 0.3925)
84 = x²(0.1075)
Divide both sides by 0.1075
84/0.1075 = x²
781.4 = x²
√781.4 = x
27.9535329 = x
x = 28 cm
Answer:
y =3x-1
Step-by-step explanation:
Parallel lines have the same slope, but different y intercepts :)
Answer: D) P(x) = -23
Step-by-step explanation:
Substitute 2 for x:
1 - 2(2)^2-3(2)^2+4(2)
Exponent
1-2(4)-3(8)+4(2)
Multiply
1-8-24+8
Combine like terms
-23
<em>Hope it helps <3</em>
<h2>option b. 52, 48 and 20</h2>
Step-by-step explanation:
<u>let's solve:-</u>
- To test whether given this triangle is right triangle or not, we can use the Pythagorean Theorem .
soo
Pythagorean Theorem=
<h2>_____________________________________</h2>
Here:-
Putting values:-
<h2>_____________________________________</h2>
Answer: We can use tangent here to find the length of the flagpole
First, find the length of the building + the flag pole
tan 32 = x/300
x=300tan32=187.460805573
(length of building + flagpole)
find length of building
tan 30 = x/300
x=173.205080757
subtract
187.460805573-173.205080757=14.255724816
round, length of flagpole = 14 feet
