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3 years ago

1. You notice that you only have 13 pound of cheese and 34 cup of milk. How much

Mathematics

1 answer:

Naddika [18.5K]3 years ago

7 0

Answer:

Yoyo

Step-by-step explanation:

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The height of one square pyramid is 12 m. A similar pyramid has a height of 6 m. The volume of the larger pyramid is 400 m3. Det

tatiyna

$\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\
$

$\bf \cfrac{smaller}{larger}\qquad \cfrac{\stackrel{height}{6}}{\stackrel{height}{12}}\implies \cfrac{1}{2}\impliedby \textit{scale factor of the pyramids}\\\\
-------------------------------\\\\
\cfrac{smaller}{larger}\qquad \cfrac{h}{h}=\cfrac{\sqrt{base}}{\sqrt{base}}\implies \cfrac{1}{2}=\sqrt{\cfrac{base}{base}}\implies \left( \cfrac{1}{2} \right)^2=\cfrac{base}{base}
\\\\\\
\cfrac{1^2}{2^2}=\cfrac{base}{base}\implies \cfrac{1}{4}=\cfrac{base}{base}\\\\
-------------------------------\\\\$

$\bf \cfrac{smaller}{larger}\qquad \cfrac{h}{h}=\cfrac{\sqrt[3]{volume}}{\sqrt[3]{volume}}\implies \cfrac{1}{2}=\sqrt[3]{\cfrac{volume}{volume}}
\\\\\\
\left( \cfrac{1}{2} \right)^3=\cfrac{volume}{volume}
\implies 
\cfrac{1^3}{2^3}=\cfrac{volume}{volume}\implies \cfrac{1}{8}=\cfrac{volume}{volume}\\\\
-------------------------------\\\\
\cfrac{smaller}{larger}\qquad \cfrac{1}{8}=\cfrac{\stackrel{volume}{v}}{\stackrel{volume}{400}}\implies \cfrac{1\cdot 400}{8}=v$

7 0

3 years ago

What is the slope and y-intercept of the equation 6x + 2y = 14<br> I

galina1969 [7]

Slope: -3
y-intercept: (0,7)

7 0

2 years ago

Find the surface are of the cylinder in terms of pi

Andrej [43]

Hello!

To find the surface area of a cylinder you use the equation

$SA = 2 \pi rh + 2 \pi r^{2}$

SA is surface area
r is radius
h is height

PUt in the values you know

$SA = 2 \pi (7)(18) + 2 \pi * 7^{2}$

Square the number

$SA = 2 \pi (7)(18) + 2 \pi * 49$

Multiply 7 and 18

$SA = 2 \pi * 126 + 2 \pi * 49$

Multiply 126 by 2

$SA = 252 \pi + 2 \pi * 49$

Multiply the 49 by 2

$SA = 252 \pi + 98 \pi$

Add

$SA = 350 \pi$

The answer is $A)350 \pi cm^{2}$

Hope this helps!

7 0

2 years ago

A tabletop in the shape of a trapezoid has an area of 6,550 square centimeters. It's longer base measures 115 centimeters, and s

mrs_skeptik [129]

0.5h(115 + 85) = 6550
0.5h(200) = 6550
100h = 6550
h = 655 cms

height is 655 cms

5 0

3 years ago

point K is between points M and Q. If line segment MK = 7 inches and line segment MQ = 15 inches, whst is the measurement of KQ?

BigorU [14]

The total length of a line segment is the sum of the lengths of its parts.

MQ = MK + KQ . . . . . . express the relationship between the segments

15 in = 7 in + KQ . . . . . fill in the given information

(15 - 7) in = KQ . . . . . . .subtract 7 in

KQ = 8 in . . . . . . . . . . . simplify

The measurement of KQ is 8 inches.

8 0

3 years ago