Answer:
$26.88
Step-by-step explanation:
Cost of a ply wood = $0.56 per square foot
If Dakota wants to build 8 birdhouses and he needs to paint 6 square feet of plywood for each birdhouse, then the total area fir the 8 bird house will be expressed as:
8 * 6
= 48 sq. feet
Hence the area of 8 bird houses is 46sq. feet
Next is to calculate the amount it will cost to make the 8 bird houses.
Since 1 sq. foot = $0.56
48 sq. feet = y
cross multiply
y * 1 = 48 * 0.56
y = 26.88
Hence it will cost Dakota $26.88 to make hid bird houses
Answer: 250 mi
Step-by-step explanation:
Here we can think in a triangle rectangle:
The distance from Birmingham to Atlanta is roughly 150 mi, and this is one of the cathetus.
And the distance from Birmingham to Nashville is roughly 200 mi, this is the other cathetus of the triangle.
Now, the distance from Atlanta to Nashville will be the hypotenuse of this triangle rectangle.
Now we can apply the Pythagorean's theorem:
A^2 + B^2 = H^2
Where A and B are the cathetus, and H is the hypotenuse:
Then:
H = √(A^2 + B^2)
H = √(150^2 + 200^2) mi = √(62,500) mi = 250 mi
Then the estimated distance from Atlanta to Nashville is 250 mi
Side JL is 4√2 recall that in a 30-60-90 right triangle the hypotenuse is 2 times the size of the short leg.
JL also serves as the hypotenuse of the 45-45-90 triangle JML. The ratio of side lengths in this triangle is 1:1:√2
So we can see that the value of x = 4
Answer:
a) 2 b) 1 c) 7/6
Function a(x) = 2x + 3 has the greatest rate of change
Step-by-step explanation:
a(x) = 2x + 3
2(-1) + 3 = 1 (-1,1)
2(2) + 3 = 7 (2,7)
= 6/3
=2
b(x) = x^2 - 1
(-1)^2 - 1 = 0 (-1, 0)
(2)^2 - 1 = 3 (2,3)
= 3/3
=1
c(x) = 2^x + 1
2^(-1) + 1 = 1.5 (-1, 1.5)
2^(2) + 1 = 5 (2,5)
= 3.5/3 or 7/6
=7/6
Answers:
- a) x = 9
- b) arc JK = 68
- c) arc MJ = 112
- d) arc LMK = 248
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Explanation:
Arcs JK and KL form a semicircle, so they add to 180 degrees
(arcJK) + (arcKL) = 180
(5x+23) + (17x-41) = 180
22x-18 = 180
22x = 180+18
22x = 198
x = 198/22
x = 9
Then you'll use this x value to find arc JK and arc KL
arc JK = 5x+23 = 5*9+23 = 68
arc KL = 17x - 41 = 17*9-41 = 112
Since central angles MNJ and KNL are vertical angles, this means minor arcs MJ and KL are congruent arcs. So arc MJ is also 112 degrees
Arc LMK is basically nearly everything of the full circle, but we exclude out the portion from L to K (the shorter distance)
arc LMK = (full circle) - (measure of minor arc LK)
arc LMK = 360 - 112
arc LMK = 248