Mathematics, 29.03.2020 13:45 Idontreallycare16

The wooden treehouse has horizontal siding that is parallel to the base. What are the LM and MN to the nearest hundredth?

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The wooden treehouse has horizontal siding that is parallel to the base. What are the LM and MN to t

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Answer from: Quest

answer

$25\pi {ft}^{2}$

explanation

the area of a circle is calculated using the formula

$area =\pi {r}^{2}$

$area = \frac{\pi \: {d}^{2} }{4}$

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

$d = 10ft$

we substitute the diameter into the formula to get:

$area = \frac{\pi \: \times {10}^{2} }{4}$

$area = \frac{100\pi}{4}$

$area = 25\pi {ft}^{2}$

this is the exact value for the area of the circle.

the correct answer is a

1. 25pi ft^2 2. 5pi ft^2 3. 10pi ft^2 3. 20pi ft^2

Answer from: Quest

the final price would be 29.6925

step-by-step explanation:

39.59 minus 25% equals 29.6925

Answer from: Quest

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

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