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3 years ago

Using the formula y=ab/2c, express: the variable c in terms of a, b, and y.

Mathematics

1 answer:

adelina 88 [10]3 years ago

4 0

Answer:

aby/2 = c

Step-by-step explanation:

1) ab * y = ab/2c

2) aby/2 = 2c/2

Final answer: aby/2 = c

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Anybody pls solve this question and explanation btw.

kondaur [170]

Answer:

$Vol=883.6875\,\, cm^3\\$

Step-by-step explanation:

Recall that the volume of a whole sphere is given by the formula:

$Vol_{sphere}=\frac{4}{3} \pi\,R^3$

then, the volume of a semi-sphere would be half of the formula above:

$Vol=\frac{2}{3}\, \pi\,R^3$

Now, the radius R is given by half of the semi-sphere diameter: 15/2 = 7.5 cm.

which makes our calculation:

$Vol=\frac{2}{3}\, \pi\,R^3=\frac{2}{3}\, \pi\,(7.5\,cm)^3=883.6875\,\, cm^3\\$

5 0

3 years ago

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

5 0

3 years ago

The results of a public opinion survey on raising the minimum wage are summarized in the two-way table. Which statement is TRUE

Makovka662 [10]

Answer:

More people over the age of 60 support an increase than any other group

About 73% of those over 60 support an increase.

26.6% of those between 41-60 support an increase.

50% of those between 21-40 support an increase.

200 people participated

8 0

3 years ago

Read 2 more answers

What is the equation of the line that passes through the point (2-,5) and a slope of -6???

zavuch27 [327]

Answer:

y = -6x - 7

Step-by-step explanation:

We already know the slope so all we need to do is find th y-intercept. We can do this by using slope-intercept form and substituting the values we are given.

y = mx + b

5 = -6(-2) + b

5 = 12 + b

-7 = b

Put everything we know back into the formula.

y = -6x - 7

Best of luck!

3 0

2 years ago

Magazine:

Naya [18.7K]

Answer:

you would save the must money from the teen world magazine.

cost of twelve copies using the original price would be:

$3.25×12= $39

amount of money saved at given price: $39-$9.98= $29.92

5 0

2 years ago

Read 2 more answers