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3 years ago

Number of pennies in a stack that is 1ft high

Mathematics

1 answer:

mojhsa [17]3 years ago

8 0

Answer:could you make the answer more sepific

Step-by-step explanation:

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OABC is a tetrahedron and OA=a, OB=b, and OC=c. The point P and Q are such that OA =AP and 2OB = BQ. The point M is a midpoint o

kondaur [170]

Given

.OABC is a tetrahedron

OA=a, OB=b, and OC=c.

point P and Q are such that OA =AP and 2OB = BQ

point M is a midpoint of PQ.

Find AB ,PQ, CQ ,QM ,MB ,OM in terms of a, b, and c.

To proof

we proof this by using the Triangle law of vector addition

when two vectors are represented by two sides of a triangle in magnitude and direction taken in same order then third side of the third side of that triangle represents in magnitude and direction the resultant of the vectors.

by using the diagram as shown below

$\vec{OA}=\vec{a}, \vec{OB}=\vec{b}\\\vec{OP}=2\vec{a},\vec{OQ}=3\vec{b}$

$\vec{OA}+\vec{AB}=\vec{OB}\\\vec{AB}=\vec{b}-\vec{a}$

$\vec{OP}+\vec{PQ}=\vec{OQ}\\\vec{PQ}=3\vec{b}-2\vec{a}$

$\vec{OC}+\vec{CQ}=\vec{OQ}\\\vec{CQ}=3\vec{b}-2\vec{c}\\\vec{QM}=-\frac{1}{2}\vec{PQ}\\$

$\vec{QM}=\vec{a}-\frac{3}{2}\vec{b}\\\vec{OM}=\vec{OQ}+\vec{QM}$

$\vec{OM}=\vec{a}+\frac{3}{2}\vec{b}\\\vec{MB}=-\vec{a}-\frac{1}{2}\vec{b}$

hence proved

6 0

3 years ago

Pls help meh with math

REY [17]

4/6 is your answer beacuse you go up by 4 and go left by 6 and rise is over run so your answer would be 4/6

5 0

3 years ago

Read 2 more answers

Multiply each set of numbers and match it with it’s product

Fynjy0 [20]

Answer:

1. $1. (\frac{5}{16}) (-2) (-4) (\frac{-4}{5})= -2 \\2. (2\dfrac{3}{5}) (\frac{7}{9})=(\frac{91}{45})\\3. (\frac{2}{3})(-4)(9)= -24\\4. (\frac{-3}{4}) (\frac{7}{8})=(\frac{-21}{32})$

Step-by-step explanation:

These are simple multiplication questions of fractions. We multiply numerator with numerators and denominators with denominators. If numerator and denominator is both divisible by same number we can divide them for simplification.

1. $(\frac{5}{16}) (-2) (-4) (\frac{-4}{5})$

$=(\frac{-10}{16}) (-4) (\frac{-4}{5})\\=(\frac{40}{16}) (\frac{-4}{5})\\=(\frac{-160}{80}) \\dividing\,\, numerator\,\, and\,\, denominator\,\, by\,\, 80\,\,\\= -2$

2. $(2\dfrac{3}{5}) (\frac{7}{9})$

Converting mixed form into fraction form,

$=(\frac{13}{5})(\frac{7}{9})$

Multiplying numerators with each other and denominators with each other

$=(\frac{13*7}{5*9})\\=(\frac{91}{45})$

3. $(\frac{2}{3})(-4)(9)$

Multiplying these terms with each other:

$=(\frac{2*-4}{3})(9)\\=(\frac{-8}{3})(9)\\=(\frac{-8*9}{3})\\=(\frac{-72}{3})\\$

Dividing numerator and denominator with 3

$=-24$

$4. (\frac{-3}{4}) (\frac{7}{8})\\=(\frac{-3}{4}) (\frac{7}{8})\\=(\frac{-3*7}{4*8})\\=(\frac{-21}{32})$

4 0

3 years ago

CAN SOMEONE HELP ME PLEASEEEEE!

zhannawk [14.2K]

Set up a proportion

$\frac{12}{350}= \frac{x}{2,000}$

x is the estimated number of returned phones. cross multiply to find x

12 x 2000 = 24000

350 x X = 350x

24000=350x

Divide

x=68.57

B.) 68

8 0

3 years ago

Read 2 more answers

Graph the image JKL after reflection over the y-axis.

laila [671]

Point J will be moved to points (-5,-7). Point K will be moved to (-8,-7). Point L will be moved to (-9,3).

4 0

3 years ago