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3 years ago

What is the product of 6 1/2 and 9 1/4

Mathematics

2 answers:

Simora [160]3 years ago

8 0

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▹ Answer

60 1/8 or 481/8

▹ Step-by-Step Explanation

$6 \frac{1}{2} * 9 \frac{1}{4} \\\\= \frac{13}{2} * \frac{37}{4} \\\\= \frac{481}{8} \\\\= 60\frac{1}{8} or \frac{481}{8}$

Hope this helps!

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stellarik [79]3 years ago

4 0

Answer:

60 1/8

Step-by-step explanation:

Product means times, so just do 6 1/2*9 1/4=13/2*37/4=481/8= 60 1/8=60.125

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Q.2

Katen [24]

Answer:

Q2. (16,8)

Q3. $k=\frac{2}{3}$ , ratio=5:1

Q4. Ratio=2:1

Q5. Ratio=1:1

Step-by-step explanation:

Q2. Let (2a,a) be the coordinates of P.

Since P is equidistant from Q (2,-5) and R (-3, 6), we have

$|PQ|=|PR|$

This gives us:

$\sqrt{(2a-2)^2+(a+5)^2}=\sqrt{(2a+3)^2+(6-a)^2}$

$\implies (2a-2)^2+(a+5)^2=(2a+3)^2+(6-a)^2$

Expand:

$4a^2-8a+4+a^2+10a+25=4a^2+12a+9+a^2 -12a+36$

$2a=16$

$a=8$

The coordinates of P are $(16,8)$

Q.3 The equation of the line segment joining the points

A (5.-6) and B (-1,-4) is $x+3y=-13$ .

The x-coordinate of the point that divides AB in the ratio m:n is

$x=\frac{mx_2+nx_1}{m+n}$

The y-axis meets this line at $(0,-\frac{13}{3})$

We substitute $x_2=-1,x_1=5,x=0$ into this equation and solve for m and n.

$0=\frac{-m+5n}{m+n}$

$m=5n$

$\frac{m}{n}=\frac{5}{1}$

Therefore the ratio is m:n=5:1

Q.4 The equation of the line segment joining

the points (-5,-4) and (-2,3) is $-7x+3y=23$ .

The point (-3, k) must satisfy this line because it lies on it.

$-7(-3)+3k=23$ .

$\implies k=\frac{2}{3}$

We again use the equation $x=\frac{mx_2+nx_1}{m+n}$ to find the given ratio.

Substitute: $x_2=-2,x_1=-5$

$4=\frac{-2m+-5n}{m+n}$

$\implies m=2n$

$\frac{m}{n}= \frac{2}{1}$

The ratio is m:n=2:1

Q. 5 The equation of the line joining A (2,3) and B(6,-3) is $3x+2y=12$ .

We substitute (4,m) to get:

12+4m=12

4m=0

m=0

It is obvious that: (4,0) is the midpoint of A(2,3) and B(6,-3).

Hence the ratio is 1:1

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3 years ago

The change from one number to the next in a geometric sequence is called

Tasya [4]

Answer:

C. Third option

Step-by-step explanation:

C is the correct answer, because the common ratio is a change from one number into the next in a geometric sequence.

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3 years ago

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Can someone help me with these two for brilliant please

Yuri [45]

Answer:

its A

Step-by-step explanation:

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3 years ago

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Which regular polygon with an apothem of 5 inches, will have a perimeter that is closest to the circumference of a circle with a

gladu [14]

Its octagon
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3 years ago

A- CE=CD B- CE = CA C- BF=DF D- DF=EF please help!!

Oksana_A [137]

The perpendicular bisector theorem gives the statements that ensures

that $\overleftrightarrow{FG}$ and $\overleftrightarrow{AB}$ are perpendicular.

The two statements if true that guarantee $\overleftrightarrow{FG}$ is perpendicular to line $\overleftrightarrow{AB}$ are;

$\overline{CE} = \overline{CD}$

$\overline{DF} = \overline{EF}$

Reasons:

The given diagram is the construction of the line $\mathbf{\overleftrightarrow{FG}}$ perpendicular to line $\mathbf{\overleftrightarrow{AB}}$ .

Required:

The two statements that guarantee that $\overleftrightarrow{FG}$ is perpendicular to line $\overleftrightarrow{AB}$ .

Solution:

From the point C arcs E and D are drawn to cross line $\overleftrightarrow{AB}$ , therefore;

$\overline{CE} = \mathbf{\overline{CD}}$ arcs drawn from the same radius.

$\overleftrightarrow{FG}$ is perpendicular to line $\overleftrightarrow{AB}$ , given.

Therefore;

$\overline{DF} = \overline{EF}$ by perpendicular bisector theorem.

Learn more about the perpendicular bisector theorem here:

brainly.com/question/11357763

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3 years ago

What is the product of 6 1/2 and 9 1/4​

What is the product of 6 1/2 and 9 1/4