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3 years ago

Please help me! i don't know how to work this out.

Mathematics

1 answer:

crimeas [40]3 years ago

6 0

Answer:

21, 24, 29

Step-by-step explanation:

The first term is when n = 1.

(1)² + 20 = 21

The second term is when n = 2.

(2)² + 20 = 24

The third term is when n = 3.

(3)² + 20 = 29

To find how many terms are less than 50, set n² + 20 equal to 50 and solve for n:

n² + 20 = 50

n² = 30

n ≈ 5.477

Rounding down, n = 5 is the last term that is less than 50.

Therefore, there are 5 terms in the sequence that are less than 50.

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Which parametric equations represent y = – |x|? Check all that apply.

Alenkasestr [34]

Answer:

The right options are C and E.

Step-by-step explanation:

I got it right on Edge.

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2 years ago

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Write the decimal using unit 90 rupees 75 paise

Klio2033 [76]

Answer:

Rupees 90.75

Step-by-step explanation:

As 75 p is equal to 0.75 rupees.
therefore 90+0.75=90.75 answer.

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2 years ago

Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour. find the ratio

Andrei [34K]

Answer:

Cycle : Scooter = 15 : 30

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Step-by-step explanation:

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2 years ago

Need help on this please

scoundrel [369]

Answer:

It's D

Step-by-step explanation:

2t - 30( $\frac{1}{5}$ ) = 20

2t - $\frac{30}{1}$ ( $\frac{1}{5}$ ) = 20

2t - $\frac{30}{5}$ = 20

2t - 6 = 20

2t - 6 + 6 = 20 +6

2t = 26

$\frac{2t}{2}$ = $\frac{26}{2}$

t = 13

8 0

2 years ago

The figure is made up of a hemisphere and a cylinder.

Goryan [66]

Data: (Cylinder)
h (height) = 8 cm
r (radius) = 5 cm
Adopting: $\pi \approx 3.14$
V (volume) = ?

Solving:(Cylinder volume)
 $V = h* \pi *r^2$
$V = 8*3.14*5^2$
$V = 8*3.14*25$
$\boxed{ V_{cylinder} = 628\:cm^3}$

Note: Now, let's find the volume of a hemisphere.

Data: (hemisphere volume)
V (volume) = ?
r (radius) = 5 cm
Adopting: $\pi \approx 3.14$

If: We know that the volume of a sphere is $V = 4 * \pi * \frac{r^3}{3}$ , but we have a hemisphere, so the formula will be half the volume of the hemisphere $V = \frac{1}{2} * 4 * \pi * \frac{r^3}{3} 
$

Formula: (Volume of the hemisphere)
 $V = \frac{1}{2} * 4 * \pi * \frac{r^3}{3}$

Solving:
$V = \frac{1}{2} * 4 * \pi * \frac{r^3}{3}$
$V = \frac{1}{2} * 4 * 3.14 * \frac{5^3}{3}$
$V = \frac{1}{2} * 4 * 3.14 * \frac{125}{3}$
$V = \frac{1570}{6}$
$\boxed{V_{hemisphere}\approx 261.6\:cm^3}$

Now, to find the total volume of the figure, add the values: (cylinder volume + hemisphere volume)

Volume of the figure = cylinder volume + hemisphere volume
Volume of the figure = 628 cm³ + 261.6 cm³
$\boxed{\boxed{Volume\:of\:the\:figure = 1517.6\:cm^3}}\end{array}}\qquad\quad\checkmark$

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2 years ago

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