The length of a swimming pool is 8m longer than its width and the area is 1o5m2?
Answers
length = w + 8 and width = w and A = 105
A = W* L
105 =w(w + 8)
105 = w² + 8w
0 = w² + 8w - 105
0 = (w + 15)(w -7)
0 = w + 15 or 0 = w -7
w = -15 or w = 7
width cant be negative, so
w = 7 and L = 7 +8
w = 7 and L = 15
7 * 15 = 105 check
length=x+8
according to the question
area of the pool = l*b
105=x*x+8
if u solve this equation further u will get the answer
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Final answer:
Mac was somewhat correct in utilizing a protractor to duplicate angle TAR. However, in geometric construction, angles are usually duplicated using a compass and straight edge.
Explanation:
In terms of duplicating angle TAR to create angle MAC, Mac was somewhat correct in his use of a protractor to measure and recreate the angle. However, the exact correctness of his construction could be contingent upon additional elements. In simple terms, yes, you can duplicate an angle by using a protractor. You would simply need to measure the degree of the original angle and then replicate this on a separate point using the same degree measurement. Nonetheless, in proper geometric construction, an angle is duplicated using a compass and a straight edge rather than a protractor.
For instance, if Angle TAR measures 30 degrees, Mac will set his protractor at an intersect point M to measure and create angle MAC, that also measures 30 degrees. It's essential to note that while the measure of the angles are identical, the lengths of the sides of the angles will not necessarily be identical unless defined to be so.
Yet, using a protractor is not necessarily the exact method of angle duplication as described in classic geometric construction. There, one uses a compass and straightedge to duplicate an angle. This process generally involves drawing an initial line, creating an arc crossing the angle's sides with a compass, and then duplicating this arc on the other line to assure both angles are comparable.
Learn more about Angle Duplication here:
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Answers
Answer:
8 - 35
a. 350 unit²
b. 81.23 unit²
c. 41.57 unit²
8 - 36
Beth should buy 3 bags of fertilizer
Step-by-step explanation:
8 - 35
a. The figure consists of 9 isosceles triangles of side lengths 11 and vertex angle = 360/9 = 40°
Hence base angles = (180 - 40)/2 = 70°
Therefore, the base of the triangles = sin(40) × 11/sin(70) = 7.52
Hence area of figure = 9 × 0.5 × 7.52 × √(11² - (7.52/2)²) =349.99 ≈ 350 unit²
b. Area of a decagon
We note that the vertex angle = 36°
∴ Half the base = tan(18) × 5 = 1.62
Area = 10 × 1.62 × 5 = 81.23 unit²
c. The area of a hexagon =
s = 4 therefore, the area =
8 - 36
Area, A of a regular pentagon =
a = 15 ft., therefore, A = = 387.11 ft.²
Therefore, since a bag of fertilizer can fertilize 150 ft.², the number of bags of fertilizer that will fertilize 387.11 ft.² will be 387.11/150 = 2.58 bags
Therefore, since 2 bags of fertilizers will not be enough, Beth should buy 3 bags of fertilizer.
Answers
Answers
Super is 531×42
(x − 4)^2 = 3
(x − 3)^2 = 2
(x − 2)^2 = 1
(x − 1)^2 = 4
Answers
x^2 - 8x + 13 = 0
(x - 4)^2 = x^2 - 8x + 16
(x - 4)^2 - 3 = 0
(x - 4)^2 = 3
The correct result would be (x - 4)^2 = 3.