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evablogger [386]

3 years ago

14

Charlotte is getting balloons for a birthday she wants each ballon string to be 12 feet long if Charlotte wants 48 balloons how

manny yards of string will she need

1 answer:

OLEGan [10]3 years ago

7 0

Answer:

576

Step-by-step explanation:

multiply 48 by 12 and I got 576

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Express each ratio as a fraction in the simplest form.<br>1) 55 footballs to 60 footballs

liubo4ka [24]

Answer:

11/12

Step-by-step explanation:

Ratio: 55:60

Find the number that fits into both of them, 5

Divide each number

11:12

Change into a fraction

11/12

Hopefully that helps. Please give me brainliest as I have never gotten it before :)

8 0

3 years ago

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If line t is perpendicular to both line l and line m, then ?1 and ?2 are both ____ angles.

marusya05 [52]

Answer:

Step-by-step explanation

Botch are right angles

4 0

3 years ago

HELPP ASaPP I’ll mark you as brainlister

nika2105 [10]

Answer:

BC ≈ 8.9 units

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos36° = $\frac{adjacent}{hypotenuse}$ = $\frac{BC}{AB}$ = $\frac{BC}{11}$ ( multiply both sides by 11 )

11 × cos36° = BC , then

BC ≈ 8.9 ( to the nearest tenth )

5 0

3 years ago

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For the function given below, find a formula for the Riemann sum obtained by dividing the interval [0,5] into n equal subinterva

sergij07 [2.7K]

Given

we are given a function

$f(x)=x^2+5$

over the interval [0,5].

Required

we need to find formula for Riemann sum and calculate area under the curve over [0,5].

Explanation

If we divide interval [a,b] into n equal intervals, then each subinterval has width

$\Delta x=\frac{b-a}{n}$

and the endpoints are given by

$a+k.\Delta x,\text{ for }0\leq k\leq n$

For k=0 and k=n, we get

$\begin{gathered} x_0=a+0(\frac{b-a}{n})=a \\ x_n=a+n(\frac{b-a}{n})=b \end{gathered}$

Each rectangle has width and height as

$\Delta x\text{ and }f(x_k)\text{ respectively.}$

we sum the areas of all rectangles then take the limit n tends to infinity to get area under the curve:

$Area=\lim_{n\to\infty}\sum_{k\mathop{=}1}^n\Delta x.f(x_k)$

Here

$f(x)=x^2+5\text{ over the interval \lbrack0,5\rbrack}$ $\Delta x=\frac{5-0}{n}=\frac{5}{n}$ $x_k=0+k.\Delta x=\frac{5k}{n}$ $f(x_k)=f(\frac{5k}{n})=(\frac{5k}{n})^2+5=\frac{25k^2}{n^2}+5$

Now Area=

$\begin{gathered} \lim_{n\to\infty}\sum_{k\mathop{=}1}^n\Delta x.f(x_k)=\lim_{n\to\infty}\sum_{k\mathop{=}1}^n\frac{5}{n}(\frac{25k^2}{n^2}+5) \\ =\lim_{n\to\infty}\sum_{k\mathop{=}1}^n\frac{125k^2}{n^3}+\frac{25}{n} \\ =\lim_{n\to\infty}(\frac{125}{n^3}\sum_{k\mathop{=}1}^nk^2+\frac{25}{n}\sum_{k\mathop{=}1}^n1) \\ =\lim_{n\to\infty}(\frac{125}{n^3}.\frac{1}{6}n(n+1)(2n+1)+\frac{25}{n}n) \\ =\lim_{n\to\infty}(\frac{125(n+1)(2n+1)}{6n^2}+25) \\ =\lim_{n\to\infty}(\frac{125}{6}(1+\frac{1}{n})(2+\frac{1}{n})+25) \\ =\frac{125}{6}\times2+25=66.6 \end{gathered}$

So the required area is 66.6 sq units.

3 0

1 year ago

A 6-ounce can of frozen juice costs 84. Give the unit price in cents per ounce.

dolphi86 [110]

Write out the "rate" as follows: 84 cents / 6 ounces

Then reduce 84/6: 84/6 cents/oz = 18 cents/oz (answer)

5 0

3 years ago