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4 years ago

15

1. What is 12/3 as an improper fraction?

1 answer:

LiRa [457]4 years ago

8 0

ans would be this 4 0/4

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The pair of square pyramids are similar. Use the given information to find the scale factor of the smaller square pyramid to the

Mrrafil [7]

$\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&\stackrel{ratio~of~the}{Sides}&\stackrel{ratio~of~the}{Areas}&\stackrel{ratio~of~the}{Volumes}\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array}\\\\
-----------------------------$

$\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\
\stackrel{\stackrel{pyramids}{scale~factor}}{\cfrac{small}{large}}\qquad \qquad \cfrac{s}{s}=\cfrac{\sqrt[3]{64}}{\sqrt[3]{343}}\implies \cfrac{s}{s}=\cfrac{4}{7}\implies 4:7$

8 0

3 years ago

X+7=4 Algebraic equation

Vaselesa [24]

The answer is x=

-3

Hope I helped!

5 0

3 years ago

Read 2 more answers

One of the digits of a two digit number is three times the other digit. If you interchange the digits of this two digit number a

STatiana [176]

Answer:

62

Step-by-step explanation:

well, we start by expressing the number:

a b

we understand that using the above expression, the value of the number is 10a + b

using the information in the question,

a = 3b (1)

and,

11b + 11a = 88 (2) (derived using 10a + b form)

hence, when substituting (1) into (2):

11b + 33b = 88

44b = 88

b = 2 (3)

sub (3) into (1)

a = 6

hence, the number is 62

3 0

3 years ago

What is the measure of EAB in circle F?<br> 72°<br> 92°<br> 148°<br> 200°

Arada [10]

We have been given a diagram. We are asked find the measure of arc EAB.

First of all, we will find the measure of arcs ED and CB using our given information.

We know that measure of an inscribed angle is half the measure of intercepted arc.

We can see that angle EBC is inscribed angle of arc EDC, so measure of arc EDC will be twice the measure of angle EBC.

$\widehat{EDC}=2\times m\angle EBC$

$\widehat{EDC}=2\times 80^{\circ}$

$\widehat{EDC}=160^{\circ}$

Similarly, we will find the measure of arc DCB.

$\widehat{DCB}=2\times m\angle DEB$

$\widehat{DCB}=2\times 70^{\circ}$

$\widehat{DCB}=140^{\circ}$

$\widehat{ED}=\widehat{EDC}-\wdiehat{DC}$

$\widehat{ED}=160^{\circ}-88^{\circ}$

$\widehat{ED}=72^{\circ}$

$\widehat{ED}+\widehat{DCB}+\widehat{EAB}=360^{\circ}$

$72^{\circ}+140^{\circ}+\widehat{EAB}=360^{\circ}$

$212^{\circ}+\widehat{EAB}=360^{\circ}$

$\widehat{EAB}=360^{\circ}-212^{\circ}$

$\widehat{EAB}=148^{\circ}$

Therefore, the measure of arc EAB is 148 degrees and option C is the correct choice.

8 0

3 years ago

Read 2 more answers

Members of the theater club sold tickets for the spring

DerKrebs [107]

Answer:

C. 125 + 120x = 180 + 110x

t = $5.5

Step-by-step explanation:

A.125t + 120 = 180t + 110

B. 120t + 110t = 125 + 180

C. 125 + 120t = 180 + 110t

D. 125 - 120t = 180 - 110t

Friday

$125 + 120t

Saturday

110t + 180

equate Friday and Saturday

125 + 120t = 110t + 180

Collect like terms

125 - 180 = 110t - 120t

-55 = -10t

Divide both sides by -10

t = -55 / -10

= 5.5

t = $5.5

6 0

3 years ago