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jeka57 [31]
2 years ago
3

Ella has 50 stacks of ten pennies in each stack describe how to find how many pennies has in all

Mathematics
2 answers:
Rama09 [41]2 years ago
8 0

50 times 10 = 500 pennies

a_sh-v [17]2 years ago
8 0
There are 50 stacks, with 10 pennies in each stack. 50*10=500, therefore, she has 500 pennies. You did this by multiplying the number of stacks, by the number of pennies in each stack.
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Which statements are true about circle Q? Select three options. The ratio of the measure of central angle PQR to the measure of
kkurt [141]

Answer:

<h3>- The ratio of the measure of central angle PQR to the measure of the entire circle is One-eighth. </h3><h3>- The area of the shaded sector depends on the length of the radius. </h3><h3>- The area of the shaded sector depends on the area of the circle</h3>

Step-by-step explanation:

Given central angle PQR = 45°

Total angle in a circle = 360°

Ratio of the measure of central angle PQR to the measure of the entire circle is \frac{45}{360} = \frac{1}{8}. This shows ratio that <u>the measure of central angle PQR to the measure of the entire circle is one-eighth</u>.

Area of a sector = \frac{\theta}{360}*\pi r^{2}

\theta = central angle (in degree) = 45°

r = radius of the circle = 6

Area of the sector

= \frac{45}{360}*\pi (6)^{2}\\ = \frac{1}{8}*36 \pi\\  = 4.5\pi units^{2}

<u>The ratio of the shaded sector is 4.5πunits² not 4units²</u>

From the formula, it can be seen that the ratio of the central angle to that of the circle is multiplied by area of the circle, this shows <u>that area of the shaded sector depends on the length of the radius and the area of the circle.</u>

Since Area of the circle = πr²

Area of the circle = 36πunits²

The ratio of the area of the shaded sector to the area of the circle = \frac{4.5\pi }{36 \pi } = \frac{1}{8}

For length of an arc

= \frac{45}{360}*2\pi r\\= \frac{45}{360}*2\pi (6)\\= \frac{45}{360}*12 \pi \\= \frac{12\pi }{8} \\= \frac{3\pi }{2} units

ratio of the length of the arc to the area of the circle = \frac{\frac{3\pi}{2} }{36\pi} = \frac{3}{72} =\frac{1}{24}

It is therefore seen that the ratio of the area of the shaded sector to the area of the circle IS NOT equal to the ratio of the length of the arc to the area of the circle

5 0
2 years ago
Read 2 more answers
Brad get an allowance of $16 each week, and his younger sister Samantha gets an allowance of $9 each week. Brad save one-half of
Lyrx [107]

Answer:

160

Step-by-step explanation:

6 0
2 years ago
Milton is floating in an inner tube in a wave pool. He is 1.5 m from the bottom of the pool when he is at the trough of a wave.
posledela
This is the concept of sinusoidal, to solve the question we proceed as follows;
Using the formula;
g(t)=offset+A*sin[(2πt)/T+Delay]
From sinusoidal theory, the time from trough to crest is normally half the period of the wave form. Such that T=2.5
The pick magnitude is given by:
Trough-Crest=
2.1-1.5=0.6 m
amplitude=1/2(Trough-Crest)
=1/2*0.6
=0.3
The offset to the center of the circle is 0.3+1.5=1.8
Since the delay is at -π/2 the wave will start at the trough at [time,t=0]
substituting the above in our formula we get:
g(t)=1.8+(0.3)sin[(2*π*t)/2.5]-π/2]
g(t)=1.8+0.3sin[(0.8πt)/T-π/2]


3 0
2 years ago
a school baseball team raised $810 for new uniforms. each player on the team sold one book of tickets. There were 10 tickers in
Orlov [11]
1 Book = $30
810 / 30 = 27
27 books
4 0
2 years ago
Read 2 more answers
A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean
Nana76 [90]

Answer: 0.0026

Step-by-step explanation:

Given: Mean : \mu=8.4\text{ hours}

Standard Deviation : \sigma = 1.8\text{ hours}

Sample size : n=40

Formula to calculate z-score :-

z=\dfrac{X-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For X=7.6 hours.

z=\dfrac{7.6-8.4}{\dfrac{1.8}{\sqrt{40}}}=-2.81091347571\approx-2.8

P(X

Hence, the probability that their mean rebuild time is less than 7.6 hours = 0.0026

8 0
2 years ago
Read 2 more answers
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