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3 years ago

2.The base of a rectangular pyramid has dimensions 3 feet by 9 feet. The height of the pyramid is 11 feet.

Mathematics

1 answer:

Andre45 [30]3 years ago

5 0

The answer would be 170 i think

8.5 times 10 divided by 3 and times 6

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A restaurant manager states the number of customers that enter the restaurant is equal to 4 times the number of people that buy

yarga [219]

Answer:

26 customers

Step-by-step explanation:

Represent customers entering as y and those buying hot dogs as x

$y = 4x + 9$

$y = 3x + 35$

Required

Determine the number of people buying hotdogs (x)

Substitute 4x + 9 for y in the second equation

$4x + 9 = 3x + 35$

Collect Like Terms

$4x - 3x = 35 - 9$

$x = 26$

5 0

3 years ago

The average daily maximum temperature in Syracuse is 21.85°C, and the average daily minimum temperature is -4.7°C. The average d

podryga [215]

By applying the definition of difference, we find that the average daily maximum temperature in Syracuse is 26.55 °C higher than the average daily minimum temperature.

<h3>What is the difference between the average daily maximum temperature and the average daily minimum temperature?</h3>

Herein we must find the difference bewteen the two temperatures, defined as the subtraction of the minimum temperature from the maximum temperature:

x = 21.85 °C - (- 4.7 °C)

x = 26.55 °C

By applying the definition of difference, we find that the average daily maximum temperature in Syracuse is 26.55 °C higher than the average daily minimum temperature.

To learn more on differences: brainly.com/question/1927340

#SPJ1

8 0

2 years ago

One side of triangle is half the longest side. The third side is

Keith_Richards [23]

Let S be the first side.
Longest side is then 2S.
Third side is 2S-10.
Perimeter is sum of all three sides = S+2S+2S-10 = 75
=>
5S-10=75
5S=75+10=85
S=17

Therefore
S=17 is the first side.
Longest side is then 2S=2*17=34.
Third side is 2S-10=2*17-10=24.

6 0

3 years ago

Distributive property of 5((7x3)-6) without parentheses

oee [108]

Answer:

Step-by-step explanation:

7x3=21

5(21-6)

5(15)

6 0

3 years ago

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 negative reciprocal 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