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Nuetrik [128]
3 years ago
14

In one area, the lowest angle of elevation of the sun in winter is 27.5°. Find the minimum distance x that a plant needing full

sun can be placed from a fence that is 5 feet high. Round your answer to the tenths place.
Mathematics
1 answer:
Alex73 [517]3 years ago
8 0

Answer:

The minimum distance x that a plant needing full sun can be placed from a fence that is 5 feet high is 4.435 ft

Step-by-step explanation:

Here we have the lowest angle of elevation of the sun given as 27.5° and the height of the fence is 5 feet.

We will then find the position to place the plant where the suns rays can get to the base of the plant

Note that the fence is in between the sun and the plant, therefore we have

Height of fence = 5 ft.

Angle of location x from the fence = lowest angle of elevation of the sun, θ

This forms a right angled triangle with the fence as the height and the location of the plant as the base

Therefore, the length of the base is given as

Height × cos θ

= 5 ft × cos 27.5° = 4.435 ft

The plant should be placed at a location x = 4.435 ft from the fence.

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Jackson used the process of completing the square to solve the equation 2x2−12x=−6.
Nikolay [14]

Answer:

x=3-\sqrt{6},x=3+\sqrt{6}

Step-by-step explanation:

we are given equation as

2x^2-12x=-6

Since, we have to solve it by using complete square

so, firstly we will complete square

and then we can solve for x

step-1:

Factor 2 from both sides

2(x^2-6x)=-3\times 2

step-2:

Simplify it

x^2-6x=-3

step-3:

Add both sides 3^2

x^2-6x+3^2=-3+3^2

now, we can complete square

(x-3)^2=6

step-4:

Take sqrt both sides

(x-3)=-\sqrt{6},(x-3)=\sqrt{6}

step-5:

Add both sides by 3

we get

x=3-\sqrt{6},x=3+\sqrt{6}


3 0
3 years ago
Which of the following is not a factor of x^3 – 3x^2 – 4x + 12?
Slav-nsk [51]

Answer:

c. (x + 3)

Step-by-step explanation:

using factor theorem

if x - 3 is a factor then p(a) = 0

p(a)= x^3 - 3x^2 - 4x + 12

a.(x-3)

p(3) = (3)^3 - 3(3)^2 - 4(3) + 12

= 27 - 27 - 12 + 12

= 0

therefore x-3 is a factor

b.(x + 2)

p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12

= -8 -12 + 8 + 12

,= 0

therefore x + 2 is a factor

c.(x + 3)

p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12

= -27 -27 + 12 + 12

= -30

therefore x + 3 is not a factor

d.(x-2)

p(2) = (2)^3 - 3(2)^2 - 4(2) + 12

= 8 -12 - 8 + 12

= 0

therefore x - 2 is a factor

4 0
3 years ago
Mrs Hom bought 44 pizzas which consist of regular size and large size pizzas to be distributed equally to 96 workers. Each regul
tino4ka555 [31]

96÷8= 12

44-12=32

12 Large Pizzas & 32 Regular Pizzas

32×6=192 slices

192÷96=2

Each worker got 1 slice of the large pizza & 2 slices of the regular pizza

5 0
3 years ago
Can you help me please?
gulaghasi [49]

Answer:

I think the answer is B, because the value does increase by one

6 0
3 years ago
How much do you need to subtract from 87/10 to make 8
Brut [27]

Answer:

You would have to subtract 7/10

Step-by-step explanation:

87/10 - 7/10 would equal 8

3 0
3 years ago
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