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garik1379 [7]
3 years ago
10

If ADEF is reflected over the x-axis, what would be the coordinates of point F?

Mathematics
1 answer:
Brut [27]3 years ago
6 0

Answer:

Please check the explanation.

Step-by-step explanation:

Let the coordinates of the point F be (x, y).

When a point F(x, y) is reflected over the x-axis, the x-coordinate of the point F remains the same, and the y-coordinate of the point reverses the sign.

Thus, the rule of reflection over the x-axis:

F(x, y)   →    F'(x, -y)

Here,

F'(x, -y) would be coordinates of point F after the reflection over the x-axis.

Let say, the point F(1, 2).

The coordinate of the point F after the reflection over the x-axis would be:

F(1, 2)   →    F'(1, -2)

Thus, F'(1, -2) would be the coordinates of point F after the reflection over the x-axis.

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If the seed company recommends planting approximately 350 grass seeds per square meter, about how many grass seeds will he need?
Svetach [21]

Answer:

83422.5 grass seeds

Step-by-step explanation:

Applying,

A = 1/2bh....................... Equation 1

Where A = Area of the Triangle, b = base, h = height.

But, from the diagram,

tanФ = 20/b

b = 20/tanФ.................. Equation 2

Substitute equation 2 into equation 1

A = 1/2(20/tanФ)(h)................ Equation 3

Given: h = 20 m, Ф = 40°

Substitute these values into equation 3

A = 1/2(20×20)/tan40°

A = 200/tan40°

A = 238.35 m²

If the seed company recommends planting approximately 350 grass seeds per square meter,

Therefore,

Number of grass seed need = (350×238.35)

Number of grass seed needed = 83422.5 grass seeds

3 0
3 years ago
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Jobisdone [24]
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4 0
3 years ago
5(z+4)+5(2−z) simplyfied
romanna [79]

Answer:

5(z+4) + 5(2-z) =

5z + 20 + 10 -5z = 30

3 0
2 years ago
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I know that 1 can of paint covers an area of 32 square feet. The dimensions of the wall is 12ft x 10ft. How many cans of paint w
DIA [1.3K]

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8 0
3 years ago
A sprinter who weighs 706 N runs the first 5.5 m of a race in 1.6 s, starting from rest and accelerating uniformly. What are the
zhenek [66]

Answer:

(a) Speed = 6.875 m/s

(b) Kinetic Energy = 1.70 kJ

(c) Average power =  1.06 kW

Step-by-step explanation:

Given:

d = 5.5 m

t = 1.6 s

W = 706 N

Part (a)

Using the equation of motion with the assumption of zero initial speed:

d = \frac{1}{2} ({v-0})t

5.5= \frac{1}{2} (1.6v)

The speed of the sprinter then become:

v = 6.875 m/s

Part (b)

Convert the weight of the sprinter to mass:

m = \frac{w}{g}

m = \frac{706}{9.8}

m = 72 kg

KE (Kinetic Energy) can then be calculated as:

KE = \frac{1}{2} mv^{2}

KE = \frac{1}{2} (72)(6.875)^{2}

KE = 1701.56 J = 1.70 kJ

Part (c)

The change of the kinetic energy is equivalent to the work done by the sprinter. The average power P is the rate of the work done and can be calculated as

P = \frac{KE}{t} \\\

P = \frac{1701.56}{1.6}

P = 1063.48 W = 1.06 kW

5 0
3 years ago
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