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postnew [5]
3 years ago
13

Can someone please explain it please: The jones family paid £1890 for their holiday with shark tours after a 12.5% surcharge was

added at the last minute. What did they originally think they would be paying?
Mathematics
1 answer:
Marat540 [252]3 years ago
3 0

Answer: They originally thought they were paying £1680

Step-by-step explanation:

1680+12.5%1680= 1890

1680+210=1890

1890=1890

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A farmer wants to build a new grain silo. The shape of the silo is to be a cylinder with a hemisphere on top, where the radius o
Aleks04 [339]

Answer:

  about 10.24 ft

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h . . . . where h is the height and r is the radius

The formula for the volume of a sphere is ...

  V = (4/3)πr³ = πr²·(4/3r) . . . . equivalent to a cylinder of height 4/3r

__

We have a cylinder of height 3d = 3(2r) = 6r. It has half a sphere on top, so the equivalent height of that is (1/2)·(4/3r) = 2/3r.

Then our total volume is equivalent to a cylinder with radius r and height (6 2/3)r = (20/3)r. That is, ...

  22,500 ft³ = πr²·(20/3)r = (20π/3)r³

Multiplying by the inverse of the coefficient of r³, then taking the cube root, we have ...

  r = ∛(22,500·3/(20π)) ft ≈ 10.24 ft

The radius of the silo should be about 10.24 feet.

4 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%28v%2B6%29%5E%7B2%7D%3D2v%5E%7B2%7D%2B14v%2B12" id="TexFormula1" title="(v+6)^{2}=2v^{2}+14v+
timofeeve [1]

Answer:

v=-6 or 4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Please explain your answer as well. THX!!
Stells [14]

Answer:

option b

6 C 2 + 6

Step-by-step explanation:

Given in the question that,

number of pink beans = 87

number of purple beans = 74

number of white beans = 35

number of black beans = 70

number of orange beans = 25

number of green beans = 47

<h3>Step 1</h3>

if two beans selected are different

6 C 2

(6 colours of beans)

<h3>Step 2</h3>

if two beans selected are same

6 C 1 = 6

(6 colours of beans)

<h3>Step 3 </h3>

total sample space will be

6 C 2 + 6

6 0
3 years ago
Help will mark brainliest answer
Naddika [18.5K]

Answer : 110 degree

To find angle 1 , we apply outside angle theorem  Lets name each point  Measurement of arc EF=280 degrees  

Measurement of arc GH = 60

Angle D = angle 1

Please refer to the theorem attached below  

angle D = \frac{arc(EF)-arc(GH)}{2}

Now we plug in the values

angle 1 = \frac{280-60}{2}

angle 1 = 110

Measurement of angle 1 = 110 degrees

5 0
3 years ago
Find the area of the region which is inside the polar curve r=5sin(θ) but outside r=4. Round your answer to four decimal places
natka813 [3]

The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be 3.75 square units.

<h3>What is an area bounded by the curve?</h3>

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be

Then the intersection point will be given as

\rm 5 \sin \theta  = 4\\\\\theta = 0.927 , 2.214

Then by the integration, we have

\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214}[ (5 \sin \theta)^2 - 4^2] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [25\sin ^2 \theta - 16] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [ \dfrac{25}{2}(1 - \cos 2\theta ) - 16] d\theta \\

\rightarrow \dfrac{1}{2} [\dfrac{25 \theta }{5} - \dfrac{25 \cos 2\theta }{2} - 16\theta]_{0.927}^{2.214} \\\\\\\rightarrow \dfrac{1}{2} [\dfrac{25(2.214 - 0.927) }{5} - \dfrac{25 (\cos 2\times 2.214 - \cos 2\times 0.927) }{2} - 16(2.214 - 0.927]\\

On solving, we have

\rightarrow \dfrac{1}{2} \times 7.499\\\\\rightarrow 3.75

Thus, the area of the region is 3.75 square units.

More about the area bounded by the curve link is given below.

brainly.com/question/24563834

#SPJ4

5 0
2 years ago
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