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Dahasolnce [82]
1 year ago
5

A door with width 4.20m has an arc as shown in the diagram. Find: a) the radius of the arc, to the nearest cm. b) the length of

the arc, to the nearest cm

Mathematics
2 answers:
Ksju [112]1 year ago
5 0

Hi there!

~

R = \frac{2.1}{sin 67.5}

Arc = R \frac{3\pi }{4}

(A)

Hope this helped you!

lions [1.4K]1 year ago
5 0

Answer:

a. 2m

b. 5m

Step-by-step explanation:

a. from the triangle assuming ABC

half triangle ABC will be ABO and ACO

AO = OB = 4.20m ÷ 2

AO = OB = 2.1m

finding the angle between AB and AC

360 - 225 = 135°

the angle between AB and AO

135÷2= 67.5°

using sin to find the length of AB = radius

sin 67.5 = 2.1/r

r= 2.2730 ~2m

b. theta/360 ×2πr = length of the arc

L= 135/360×2×22/7 × 2.2730

Length of the arc = 5.3578m ~ 5m

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Novay_Z [31]

Answer:

$0.74 = 74 cents

Step-by-step explanation:

The cost of one ounce of tomato = $0.37

1 portion of potato gnocchi requires 2 ounces of tomato sauce.

To find the cost of one portion of the potato gnocchi, we have to simply find the cost of 2 ounces of tomato sauce.

That is:

Cost = 2 * 0.37 = $0.74

Hence, one portion of potato gnocchi costs $0.74

Since $1 = 100 cents, the cost in cents will be:

0.74 * 100 = 74 cents

6 0
2 years ago
Sketch a plane containing points E,D, and B; where E and B are collinear with A , and D is a vertex where CD and FD meet.
Irina18 [472]

Solution:

we have been asked to sketch a plane containing points E, D and B.

where E and B are collinear with A. It mean all thses three points will fall on a straight line. Also D is a vertex where CD and FD meets.

The sketch has been attched below.

Here as you can see three points are in a staright line and we have another one in whuch two vectors CD and FD are meeting at the vertex D.

8 0
2 years ago
What is the additive inverse of the polynomial –9xy2 + 6x2y – 5x3?
neonofarm [45]

Answer:

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Step-by-step explanation:


9 0
1 year ago
One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 8 hours. How long will it take the pipe to f
mel-nik [20]

Answer:

24 hours

Step-by-step explanation:

Let x represent the time required to fill both pipes if they are left open

1/6 + (-1/8)= 1/x

1/6 - 1/8= 1/x

Divide through by 48

48(1/6) -48(1/8) = 48(1/x)

8 - 6 = 48 x

2= 48/x

2x= 48

x= 48/2

x= 24

Hence it will take 24 hours to fill the pipe if the drain is left open

6 0
1 year ago
If f (x) = StartRoot 4 x + 9 EndRoot + 2, which inequality can be used to find the domain of f(x)? StartRoot 4 x EndRoot greater
maxonik [38]

Answer:

Step-by-step explanation:

"f (x) = StartRoot 4 x + 9 EndRoot + 2" should be written as

 

Note that √(4x + 9) is a variation of the basic function y = √x, whose domain is [0, ∞ ).

The domain of f(x) = √(4x + 9) + 2 is found by taking the "argument" 4x + 9 of √(4x + 9) and setting it equal to zero:

4x + 9 ≥ 0, or

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This is the domain of the given function f(x) = √(4x + 9) + 2.  So long as x is ≥ -9/4, the function f(x) will be defined.

6 0
1 year ago
Read 2 more answers
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