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3 years ago

Answer choices 79in 158in 103in 118in 164in

Mathematics

1 answer:

Ymorist [56]3 years ago

7 0

it's 158 inches

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The sum of ages of a mother and daughter is 45 years. Five years ago, the product of their ages was four times the mother's age

icang [17]

Answer: the answer is 36

Step-by-step explanation:

we can solve this using an algebra equation

so first from the world problem, we can tell that mother and daughter's ages added together is 45 we can represent this by saying x (mother's age), plus y (daughter's age) is 45.

(x+y)=45

Then we from the problem we know that 5 years ago the product of their ages is four times the mother's age at that time. From this, we can write

(x-5)*(y-5)=4*(x-5)

Then we just subtract the common denominators which is (x-5) so then the equation becomes

(y-5)=4

add 5 to both sides

y=9

Then all we do is plug the answer for y into the very first equation

x+9=45

Subtract both sides by 9

x=36

To double-check let's put the answers in the second equation

(36-5)*(9-5)=4*(x-5)

we get

(31)*(4)=4*(31)

so it's right I think

6 0

3 years ago

AB= 10.2 cm and Bc= 3.7 cm find the length of AC

geniusboy [140]

Answer:

3.2333

Step-by-step explanation:

5 0

3 years ago

In a plane, line e is perpendicular to line f, line f is perpendicular to line g, and line h is parallel to line f. which of the

Over [174]

Answer:

a). line h is perpendicular to line g

Step-by-step explanation:

In these cases, always make a litle scetch, and just plot what is given.

You can immediately see the answer, which is answer a).

lf h is parallel to f and line f is perpendicular to line g,

then line h is perpendicular to line g.

8 0

4 years ago

I need to know this plz and thank u

mr_godi [17]

The third one :) I hope I did it right

3 0

4 years ago

Read 2 more answers

Set up the integral that uses the method of disks/washers to find the volume V of the solid obtained by rotating the region boun

Blababa [14]

Answer:

$a)\: \frac{3}{2} \pi$

$b) \:\frac{47}{5} \pi$

Step-by-step explanation:

$y=3\sqrt x,\:\:y=3,\:\:x=0$

a) about the line y = 3

$3\sqrt x=3$ ⇒ $x = 1$ is the intersection point

So,

$V=\int\limits^1_0\pi(3-3\sqrt x)^2\:dx=\pi\int\limits^1_0(9-18\sqrt x+9x)\:dx=\\\\=\pi(9x-12x^{3/2}+9/2x^2)|^1_0=\pi(9-12+9/2)=\frac{3}{2} \pi$

b) about the line x = 5

$y=3\sqrt x$ ⇒ $x=y^2/9$

So,

$V = \int\limits^3_0\pi([5-0]^2-[5-y^2/9]^2)\:dy=\pi\int\limits^3_0(25-25+10y^2/9-y^4/81)\:dy=\\\\=\pi(10y^3/27-y^5/405)|^3_0=\pi(10-3/5)=\frac{47}{5} \pi$

8 0

4 years ago