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8090
2 months ago
9

Sam is designing a fence post for his yard. He will need to construct a perpendicular line through the point above the line to m

ake sure the fence post is perpendicular to the ground. Which step should Sam do first to ensure that the fence post model is perpendicular to the ground in the diagram?
A. Place the compass at the point off the ground, and swing an arc on either side of the point.

B. Place the compass at the point off the ground, and swing arcs above and below the ground.

C. Place the compass at the point off the ground, and swing an arc that intersects the ground in one place.

D. Place the compass at the point off the ground, and swing an arc that intersects the ground in two places.
Mathematics
2 answers:
babunello [11.8K]2 months ago
7 0
First, position the compass at the point above the ground and draw an arc that intersects the ground at one location.
zzz [12.3K]2 months ago
6 0
Option D is indeed correct, as it ensures that the post's point is equidistant from the ground, maintaining a perpendicular angle at two points on the surface.
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Explain two ways you could solve 20 = 5(-3 + x)
Leona [12618]

Answer:

The solution to your inquiry can be found below

Step-by-step explanation:

First method

                      20 = 5(-3 + x)                   expanding this equation

                     20 = -15 + 5x                    combine like terms

                     5x = 20 + 15

                     5x = 35                            dividing by 5

                     5x/5 = 35/5

                     x = 7

Second method

                     20/5 = 5/5 (-3 + x)          divide both sides by 5

                     4  = -3 + x                        adding 3 to both sides

                     4 + 3 = -3 + 3 + x            simplifying

                     7 = x

                     

3 0
3 months ago
Let c1(t) = eti + (sin(t))j + t3k and c2(t) = e−ti + (cos(t))j − 6t3k. Find the stated derivatives in two different ways to veri
Zina [12379]

Answer:

i ( e^{t} - e^{-t})+ j (cost-sin t)+ k (-15t^{2})

\frac{d}{dx}(e^x) = e^x

Step-by-step explanation:

Step 1:-

We have c1(t) = e^ t i + (sin(t))j + t³k

and c2(t) = e^−t i + (cos(t))j − 6t³k.

By adding c1(t) and c2(t):

c1(t)+c2(t) = e^ t i + (sin(t))j + t³k + e^−t i + (cos(t))j − 6t³k

Now, employing the derivative formula:

\frac{d}{dx}(e^x) = e^x

\frac{d}{dx}(sinx) = cosx\\\frac{d}{dx}(cosx) = -sinx

Next, differentiate with respect to 't'

\frac{d}{dt}c_{1}+ c_{2} } = e^ t i +cost j +3t^2 k - e^-t i - sintj -18t^2 k

By factoring out i, j, and k terms, we arrive at:

\frac{d}{dt}(C_{1} +C_{2} ) = i ( e^{t} - e^{-t})+ j (cost-sin t)+ k (-15t^{2})

7 0
2 months ago
Mr. Garcia has 15 boys and 10 girls in his math class. He selects two students at random to demonstrate how they solved the day’
Leona [12618]
Detailed explanation: If the class has 15 boys and 10 girls, this totals 25 students. The likelihood of selecting a girl first would be \frac{10}{25}. After that selection, there would be one fewer girl and overall student, resulting in the probability for choosing another girl being \frac{9}{24}. The final probability is obtained by multiplying these two results to yield \frac{10}{25}*\frac{9}{24}=\frac{2}{5}*\frac{3}{8}=\frac{3}{20}.
4 0
1 month ago
Read 2 more answers
The graph shows the influence of the temperature T on the maximum sustainable swimming speed S of Coho salmon. (b) Estimate the
zzz [12365]
Based on the graph, it seems that S′(5) is approximately 2, while S′(25) seems to be around -2. The key observation is that these values are of opposite signs. This indicates that at roughly 5ºC, the Coho salmon experiences an increase of about 2 cm/sec in its maximum sustainable speed, whereas at 25ºC it encounters a decrease of approximately 2 cm/sec.
3 0
2 months ago
Read 2 more answers
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