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3 years ago

Natalie bought 5 hot chocolates for $25. How much was each hot chocolate?

Mathematics

1 answer:

elena-s [515]3 years ago

7 0

Answer:

Step-by-step explanation: 5x5 =25$

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Name the quadrilaterals that have four equal angles.

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B. square, rectangle

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Please help!! MathsWatch, Surd Expressions, Clip 207c

dexar [7]

Answer:

$A=(72+36\sqrt{3})\ mm^2$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

Let

a ----> the height of rectangle in mm

b ---> the base of rectangle in mm

step 1

Find the base of rectangle

$b=AB+BC+CD+DE$ ----> by segment addition postulate

substitute

$b=3+3+3+3=12\ mm$

step 2

Find the height of rectangle

$a=FB+CG+GH$ ---> by segment addition postulate

substitute the given values

$a=3+CG+3\\a=6+CG$

Find the length sides CG

Applying the Pythagorean Theorem

$BG^2=BC^2+CG^2$

substitute the given values

$6^2=3^2+CG^2$

$CG^2=6^2-3^2$

$CG=\sqrt{27}\ mm$

simplify

$CG=3\sqrt{3}\ mm$

therefore

$a=(6+3\sqrt{3})\ mm$

step 3

Find the area of rectangle

$A=ab$

we have

$a=(6+3\sqrt{3})\ mm$

$b=12\ mm$

substitute

$A=(6+3\sqrt{3})(12)=(72+36\sqrt{3})\ mm^2$

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3 years ago

Solve the following dividend problem.

brilliants [131]

To get dividend per share, we need to divide total dividend by total numbers of shares outstanding.

Dividend per share = $\frac{40,000}{50,000}=0.8$ dollars.

Since per share you get $0.8, for 100 shares you will get $0.8*100=80$ dollars.

Also, that is $\frac{80}{40,000}*100=0.2$ percent of the total dividends.

ANSWER:

A. $0.8 per share

B. $80 (and that is 0.2% of total dividend)

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A construction worker needs to put a rectangular window in the side of a building. He knows from measuring that the top and bott

elena-14-01-66 [18.8K]

Answer:

B. 17 ft

Step-by-step explanation:

in a rectangle both diagonals are equally long.

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2 years ago

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Amir is sorting his stamp collection. He has made a chart of what countries the stamps are from

natulia [17]

Answer:

Step-by-step explanation:

Given that Amir is sorting his stamp collection. He has made a chart of what countries the stamps are from

He got results as

France 1/3

Morocco 5/12

Spain 1/6

To find out what fraction of Amir's stamps are from France, Morocco, or Spain, we have to simply add the three as there is common element between any two pairs

Hence answer is

$\frac{1}{3} +\frac{5}{12} +\frac{1}{6}\\ =\frac{11}{12}$

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