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3 years ago

At a pie eating contest Johnny ate 8 pies in 5 minutes. How much time did he spend on each pie?

Mathematics

1 answer:

valina [46]3 years ago

7 0

8:5 you divide 8 by 8 and 5 by 8 to see how long he spent on each pie:

which is 0.625 and 1: 0.625 which is 1 minute and 36 seconds

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Please help me !!!! trigonometric ratios !!!

DaniilM [7]

Answer:

Step-by-step explanation:

If the questions is "What's x" then the answers is...

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

use CAH

Cos(x) = 46/60

x = arcCos(46/60)

x = 39.9445 °

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3 years ago

Write an equation and solve. Round to the nearest hundredth where necessary. 19 is what percent of 40?

snow_lady [41]

You first divide 40 by 19:

19/40=?

Then you convert that to percentage by dropping the decimal point and attaching a %

(hint: you should get 48% about :)

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3 years ago

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Valery and Manuel ride their bikes 40 miles every Saturday. Valery rides at an average speed of 9.6 miles per hour (mph).

diamong [38]

Answer:

9.984, can't tell.

Step-by-step explanation:

9.6 increased by 4% is

9.6 * 1.04 = 9.984 mph.

We don't know from this how fast Manuel rides.

7 0

3 years ago

I am greater than 50 and less than 55. the sum of my digits is 8. what number am i

valentinak56 [21]

Answer:

Step-by-step explanation:

6 0

3 years ago

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given abc with a(-4 -2), b(4,4), and c(18,-8). write the equation of the line that contains the altitude that passes through b i

Tresset [83]

check the picture below.

so red line of BD is perpendicular to AC, hmmmm let's firstly find the slope of AC, bearing in mind that perpendicular lines have <u>negative reciprocal</u> slopes.

$\bf A(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{18}~,~\stackrel{y_2}{-8}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-8-(-2)}{18-(-4)}\implies \cfrac{-8+2}{18+4} \\\\\\ \cfrac{-6}{22}\implies -\cfrac{3}{11} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{3}{11}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{11}{3}}\qquad \stackrel{negative~reciprocal}{\cfrac{11}{3}}}\impliedby \textit{BD's slope}$

so we're really looking for the equation of a line whose slope is 11/3 and runs through B(4,4). Keeping in mind that

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

$\bf B(\stackrel{x_1}{4}~,~\stackrel{y_1}{4})~\hspace{10em} slope = m\implies \cfrac{11}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-4=\cfrac{11}{3}(x-4)$

$\bf \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}\textit{ to do away with the denominators}}{3(y-4)=3\left( \cfrac{11}{3}(x-4) \right)\implies 3y-12=11(x-4)} \\\\\\ 3y-12=11x-44\implies 3y=11x-32 \\\\\\ -11x+3y=-32\implies \blacktriangleright 11x - 3y= 32\blacktriangleleft$

4 0

3 years ago