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GREYUIT [131]
3 years ago
12

Johnny has a circular flower bed. Its radius is 4 feet. Johnny wants to build a fence around the flower bed. What is the total l

ength of the fence?
Mathematics
1 answer:
marta [7]3 years ago
8 0

Answer:

25.14 feet

Step-by-step explanation:

The length of the wire would be equal to the circumference of the circular flower bed

Formula for circumference of a circle: 2πr

= 2 x 22/7 x 4 = 25.14 feet

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Can someone help me with this question? Will give brainliest.
just olya [345]

Answer:

5.2561

step by step explanation:

using BODMAS, multiplication comes before addition.

Therefore,

\sqrt{1.13 + (2.84 \times 9.33)}

\sqrt{1.13 + 26.4971}

\sqrt{27.6272}

Therefore the answer is

5.2561

7 0
3 years ago
Quadrilateral ABCD has vertices A(1, 0) B(5, 0) C (7, 2) D(3, 2). Use slope to prove that ABCD is a parallelogram.
Rasek [7]

If ABCD is a parallelogram, we have to prove that slope of AB = CD and slope of BC = DA. Using the formula m = (y1-y2) / (x1-x2), the slope of line segment AB = 0/-4,  CD = 0/-4, BC = 1, DA  = 1. Going back to the condition, the slope we get for each line segment proves that ABCD is a parallelogram.

7 0
3 years ago
1. Use the cosine and sine functions to express the exact coordinates of P in terms of angle θ.
Luden [163]

Answer:

For a point defined bt a radius R, and an angle θ measured from the positive x-axis (like the one in the image)

The transformation to rectangular coordinates is written as:

x = R*cos(θ)

y = R*sin(θ)

Here we are in the unit circle, so we have a radius equal to 1, so R = 1.

Then the exact coordinates of the point are:

(cos(θ), sin(θ))

2) We want to mark a point Q in the unit circle sch that the tangent has a value of 0.

Remember that:

tan(x) = sin(x)/cos(x)

So if sin(x) = 0, then:

tan(x) = sin(x)/cos(x) = 0/cos(x) = 0

So tan(x) is 0 in the points such that the sine function is zero.

These values are:

sin(0°) = 0

sin(180°) = 0

Then the two possible points where the tangent is zero are the ones drawn in the image below.

7 0
3 years ago
Solve the equation 3sin2 theta = sin e, for values of e between Oº and 360°
Reil [10]

Answer:

[B] 0, 19.5, 160.5, 180, 360

Step-by-step explanation:

3 sin²θ = sin θ

3 sin²θ − sin θ = 0

sin θ (3 sin θ − 1) = 0

sin θ = 0 or sin θ = ⅓

If sin θ = 0, θ = 0°, 180°, 360°.

If sin θ = ⅓, θ = 19.5°, 160.5°.

5 0
3 years ago
The speed limit sign on the freeway said 110 kilometers per hour, but the speedometer on Cesar's car is calibrated in miles per
Lisa [10]

Answer:

68.2 miles per hour

Step-by-step explanation:

Speed limit = 110 kilometers per hour

1 kilometer = 0.62 miles

110 kilometers = x miles

Cross product

1*x = 0.62*110

x = 68.2 miles

Cesar should drive at 68.2 miles per hour to avoid a speeding ticket

110 kilometers per hour = 68.2 miles per hour

6 0
3 years ago
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