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4 years ago

15

64,-48,36,-27 which formula can be used to describe the sequence

1 answer:

ryzh [129]4 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

These are the terms of a geometric sequence with n th term formula

$a_{n}$ = a $(r)^{n-1}$

where a is the first term and r the common ratio

r = $\frac{-48}{64}$ = $\frac{36}{-48}$ = - $\frac{3}{4}$

the first term a = 64, hence

$a_{n}$ = 64 $(-3/4)^{n-1}$

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4 years ago

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3 years ago

4x what = 364<br><br> please put the calculation

NNADVOKAT [17]

Answer:

91

Step-by-step explanation:

<em>4 x 91 = 364</em>

To work this out, we must do the inverse operation. The inverse (opposite) of x (times or multiply) is ÷ (divide).

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Hope this helps!

- profparis

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2 years ago

Did I solve this correctly? Or should the final answer be something different like 1A/2h=b

Minchanka [31]

Yes you solved it correctly

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4 years ago

Read 2 more answers

the volume of the cone is 25.12cm cubed, and the area of the base is 12.56cm squared.what is the height

Lady bird [3.3K]

Height of the cone having volume as $25.12 \text { cm}^{3}$ and base area $12.56 \text { cm}^{2}$ is 6 cm.

Solution:

Given that volume of cone = $25.12 \text{ cm}^{3}$

Area of base = $12.56 \text { cm}^{2}$

Need to determine height of the cone.

Formula for volume of the cone is as follows

$\mathrm{V}_{c}=\frac{1}{3} \pi r^{2}{h} \rightarrow (1)$

Area of circular base of cone = $A_{b}=\pi r^{2}$

Replacing $\pi r^{2} \text { by } A_{b}$ in equation (1), we get

$\mathrm{V}_{\mathrm{c}}=\frac{1}{3} \mathrm{A}_{\mathrm{b}} \mathrm{h}$

$\Rightarrow \frac{3 \mathrm{V} c}{\mathrm{A}_{\mathrm{b}}}=h$

$\Rightarrow h=\frac{3 \mathrm{v} c}{\mathrm{A}_{\mathrm{b}}} \rightarrow (2)$

In our case Volume of cone $V_c= 21.12 \text{ cm}^3$ and Area of base $A_b=12.56 \text { cm}^2$

On substituting the values of volume and area in equation 2 we get

$h=\frac{3 \times 25.12}{12.56}=6 \text{ cm }$

7 0

3 years ago