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ValentinkaMS [17]
4 years ago
7

The diagram shows a gizmo where a cylinder is connected to a hemisphere with the same radius. The gizmo is held vertical by a th

in straight rod which is connected to a horizontal plate and the top rim of the cylinder. The total volume of the gizmo is 9.8cm cubed. The radius of the hemisphere and cylinder is 0.8cm. Calculate the length of the rod.
extra info: The angle between the plate and the rod is 72°
Mathematics
1 answer:
Zinaida [17]4 years ago
5 0

Answer:

5.1cm

Step-by-step explanation:

volume of hemisphere = 1.07cm³

9.2-1.07 = 8.13

volume of cylinders = 8.13cm³

height of cylinder = 4.04cm

total height of gizmo = 4.04+0.8=4.84

4.84/sin(72) = 5.1cm

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lubasha [3.4K]

Answer: 30° and 110°

55° and 85°

70° and 70°

The sum of angles in a triangle is 180°. Therefore, since an angle has been given as 40°, the remaining angles will be:

= 180° - 40°

= 140°

Therefore,

30° + 110° = 140°

55° + 85° = 140°

70° + 70° = 140°

5 0
2 years ago
Linda knitted 1/6 of a sweater on Friday and 2/9 of the sweater on Saturday. On Sunday she knitted 1/2 of the remaining sweater.
sladkih [1.3K]
This is pretty simple. All you have to do is make the first and second fraction share a denominator by multiplying them by each other.

6 <span>• 9 = 54

Then multiply each numerator by the opposing denominator.

1 </span><span>• 9 = 9

2 </span><span>• 6 = 12

Here are the new fractions:

9/54

12/54

Now add the 9 and 12 together.

9 + 12 = 21

The complete fraction:

21/54

Subtract 21 from 54 so you can get the remainder of the sweater.

54 - 21 = 33

This is the remainder fraction:

33/54

Can you simplify this? Yes, of course! They can both be divided by 3!

11/18

That is the remainder of the sweater. But you still have to divide it in half! After all, Linda only knitted half of the remaining sweater. Dividing it in half can be done just by multiplying the denominator by 2.

11/36

That should be your answer! Apologies if I got something wrong.</span>
7 0
4 years ago
How many solutions does -3x+9-2x=-12-5x have
Neko [114]

Answer:

-27+6x=-12-5x

Step-by-step explanation:

It has one solution

8 0
3 years ago
there are 14 girls trying out for volleyball. Each team will have six players. How many four teams will be made?
nikdorinn [45]

Answer:

2

Step-by-step explanation:

14 divided by 6 = 2.33333333

only 6 in a group so you round it

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3 0
3 years ago
Write the following using negative exponents: 1/x5
stira [4]
1/(x^5) is equal to x^-5, by the definition of negative exponents.
3 0
3 years ago
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