I need help with these two fraction questions :(

If the cylinder above is similar to a second cylinder that has a radius of 10mm, what is the height of the second cylinder

julsineya [31]

Answer:

The height of the second cylinder is 30mm

Step-by-step explanation:

Given

Cylinder 1:

$R = 15mm$

$H = 45mm$

Cylinder 2

$r = 10mm$

See attachment

Required

Determine h, the height of the small one

To do this, we make use of the following equivalent ratios;

$R : H = r : h$

This gives:

$15 : 45 = 10 : h$

Express as fraction

$\frac{15 }{ 45 }= \frac{10 }{ h}$

Simplify

$\frac{1 }{ 3}= \frac{10 }{ h}$

Cross multiply

$h *1 = 3 * 10$

$h = 30$

8 0

2 years ago

Sweatshirt with new school logo cost 22.50 ,plus tax the tax is over 0.06 for every dollar spend.what is the tax on the sweatshi

coldgirl [10]

Answer:

Step-by-step explanation:

To find tax on something you multiply the base price by the tax percentage. So if something is 100 dollars and tax is 5 percent (or .05 in decimal form), you would add 5 dollars to the price. because 100*.05=5.

If we assume 6% as the tax then we multiply 22.50*.06 = 1.35, so you will add 1.35 to the price. That means the new price is 22.50 + 1.35 = 23.85.

It's just asking for what the tax is though so the answer is 1.35 at 6%. The question does say the tax is over 6% though, so that means the tax will only go up from there if the tax is over 6%

6 0

2 years ago

Simplify<br><br> sqrt(3 + 2 sqrt 2) ...?

trasher [3.6K]

The answer is 1 + √2

sqrt(2) is $\sqrt{2}$
sqrt(3 + 2 sqrt 2) is $\sqrt{3 +2 \sqrt{2} }$
Now, let's simplify $\sqrt{3 +2 \sqrt{2} }$ .
We will use square of sum: (a + b)² = a² + 2ab + b²

$\sqrt{3 +2 \sqrt{2} } = \sqrt{1+2+2 \sqrt{2} }= \sqrt{1+2 \sqrt{2}+2 }= \\ 
= \sqrt{1^{2} +2*1* \sqrt{2} + (\sqrt{2} ) ^{2} } = \sqrt{(1+ \sqrt{2}) ^{2}} =1+ \sqrt{2}$

8 0

2 years ago

Read 2 more answers

Send the answer from 18 to 23 with process in copy

viktelen [127]

19. Perimeter of rectangle = 2(l + b)

l = 25m

b = 16m

Perimeter of rectangular park = 2 (25 + 16)

= 50 + 32

= 82m

Perimeter of square park = 82m

(given that, perimeter of rectangular and square park are equal)

Perimeter of square = 4a

4a = 82

a = 82/4

a = 20.5m

Area of square park = a²

= 20.5²

= 420.25m²

20. Perimeter of regular hexagon = 6a

a = 2.5

6a = 6 × 2.5

= 15cm

21. Perimeter of regular decagon = 10a

a = 8

10a = 10 × 8

= 80cm

4 0

3 years ago

Help me please ?????????

exis [7]

The correct answer is: [C]: " $4290.00 " .
_______________________________________
Explanation:
_________________________________________
Given: principal, "P": equals: $14,300 ;
                 rate, "r" : equals: 7.5 % = 7.5 / 100 = 0.075 ;
                time, "t" (in years): equals: 4 ;
_________________________________________
What is the interest, "i" ?
_________________________________________
Note: The formula:  i = P * r * t   .
_________________________________________
So, we plug in our given values for "P", "r", and "t", and solve for "i" (interest).
__________________________
i = ($14,300) *(0.075) * (4) ;

i = $1,490 ; which is answer choice: [C]: " $4290.00 " .
________________________________________________

5 0

3 years ago