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BigorU [14]
2 years ago
13

A mother is 1 and 3/4 times as tall as her son. Her son is 3 feet tall. How tall is the mother?

Mathematics
2 answers:
Inga [223]2 years ago
7 0

Answer:

The mom is 5 feet 3 inches

Step-by-step explanation:

<u>Step 1:  Make an equation</u>

m = 1 3/4 * 3

<u>Step 2:  Solve</u>

m = (4/4+3/4) * 3

m = 7/4 * 3

m = 21/4

m = 5.25

<em>m = 5 feet 3 inches</em>

<em />

Answer:  The mom is 5 feet 3 inches

Gekata [30.6K]2 years ago
6 0

Answer:

5 and 1/4

Step-by-step explanation:

3 times 1.75 = 5.25

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Nan wants to put 234 pictures in an album with a Blue cover . how many full pages will she have in her album?
antoniya [11.8K]
It would be about 58 and 1/2 pages. You would divide it. 234 divided by 4. Which would be 58.5.
3 0
2 years ago
Read 2 more answers
All angles in the diagram are measured to the nearest degree.
DochEvi [55]

Answer:

lower bound is 110.503 and upper bound is 112.500


Step-by-step explanation:

Given 3 angles around a point we are to find the fourth angle.

The three angles are 59. 108 and 81.

They are rounded off to the nearest degrees.

As per this given, fourth angle = 360-(59+108+81) = 112 degrees

Since angles were rounded off, the extreme chances are

58.5, 107.5, and 80.5 rounded off to 59, 108, and 81 from left side.

Right side maximum is 59.499, 108.499, 81.499 (taken upto 3 decimals) rounded to 59, 108, 81

In the first case, fourth angle would be 112.50 and in the second case, the fourth angle would be 110.503 degrees

Thus lower bound is 110.503 and upper bound is 112.500


6 0
2 years ago
The population of a parish is growing with an annual percentage rate compounded continuously. The population reaches 1.1 times i
Sauron [17]

Answer:

4.8%

Step-by-step explanation:

The population that grows with an annual percentage rate compounded continuously is given by: H = H° e^rt

Let the population be represented by H

The population reaches 1.1 times its previous size in 2 years.

So when t=2,

H = 1.1 H°

We substitute to obtain:

1.1 H° = H° e^r2

1.1 = e^2r

Take natural log to get:

In 1.1 = 2r

r = In 1.1 /2

r = 0.0477

Therefore the annual percentage rate is 4.8%

7 0
2 years ago
Read 2 more answers
Find the area of the part of the sphere x2 + y2 + z2 = 100z that lies inside the paraboloid z = x2 + y2.
vekshin1
x^2+y^2+z^2=100z\iff x^2+y^2+(z-50)^2=50^2

The surface of interest can be parameterized by

\mathbf r(u,v)=\begin{cases}x(u,v)=50\cos u\sin v\\y(u,v)=50\sin u\sin v\\z(u,v)=50(\cos v+1)\end{cases}

with 0\le u\le2\pi and 0\le v\le\arccos\dfrac{49}{50}.

The area of the surface S is given by the surface integral

\displaystyle\iint_S\mathrm dA=\iint_T\left\|\mathbf r_u\times\mathbf r_v\right\|\,\mathrm du\,\mathrm dv

We have

\|\mathbf r_u\times\mathbf r_v\|=50^2\sin v

so the area is given by the double integral

\displaystyle50^2\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\arccos(49/50)}\sin v\,\mathrm dv\,\mathrm du=100\pi
6 0
2 years ago
If the area of the rectangle is 120, what is the area of triangle cpd
zimovet [89]

Answer:

Step-by-step explanation:

area of rectangle=120

find area of CPD

area=1/2  (area of the rectangle)

area =  1/2×120=60

5 0
2 years ago
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