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worty [1.4K]
3 years ago
8

John has 50 missing assignments in his history and science class. He only has 15 days to turn everything in. How many assignment

s will John have to do everyday?
Mathematics
2 answers:
Leto [7]3 years ago
7 0

Answer:

3.333333333333333

Step-by-step explanation:

You will have to divide 15 by 50 to get the answer. That will give you 3.333333333333333 which is your answer.

Nadusha1986 [10]3 years ago
3 0

Answer:

3.3333 (repeating)

Step-by-step explanation:

He has 50 missing assignments and 15 days to do them.

So you do 50 missing assignments divided by 15 days, to see how many assignments a day he would have to do.

50 / 15 = 3.33 (repeating)

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Enter the coordinates of the point on the unit circle at the given angle 360
kotykmax [81]

Answer:

(1, 0)

Step-by-step explanation:

360º is a full circle and is the same as 0º, so this is on the x-axis.

the y coordinate is 0

Since it's a unit circle on the x-axis the x coordinate is 1

(1, 0)

3 0
3 years ago
Find the volume of the wedge-shaped region contained in the cylinder x2 + y2 = 49, bounded above by the plane z = x and below by
fiasKO [112]
\displaystyle\iiint_R\mathrm dV=\int_{y=-7}^{y=7}\int_{x=-\sqrt{49-y^2}}^{x=0}\int_{z=x}^{z=0}\mathrm dz\,\mathrm dx\,\mathrm dy

Converting to cylindrical coordinates, the integral is equivalent to

\displaystyle\iiint_R\mathrm dV=\int_{\theta=\pi/2}^{\theta=3\pi/2}\int_{r=0}^{r=7}\int_{z=r\cos\theta}^{z=0}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta
=\displaystyle\int_{\theta=\pi/2}^{\theta=3\pi/2}\int_{r=0}^{r=7}-r^2\cos\theta\,\mathrm dr\,\mathrm d\theta
=-\displaystyle\left(\int_{\theta=\pi/2}^{3\pi/2}\cos\theta\,\mathrm d\theta\right)\left(\int_{r=0}^{r=7}r^2\,\mathrm dr\right)
=\dfrac{2\times7^3}3=\dfrac{686}3
4 0
3 years ago
An above ground swimming pool in the shape of a cylinder has a diameter of 21 feet and a height of 3.5 feet. If the pool is fill
svlad2 [7]

Answer:

952 cubic feet

Step-by-step explanation:

The diameter is 21, so the radius is 10.5. The area of a circle is πr^2, so 10.5^2π, or 110.25π. The pool is filled 9 inches from the top, so it is 3.5 feet - 9 inches high, 9 inches is 0.75 feet, so 2.75 feet filled. Now multiply 110.25π by 2.75 to get 303.1875π and then 952.4916, closer to 952 cubic feet.

Tell me if I'm right

3 0
3 years ago
Read 2 more answers
You have just arrived at summer camp. And your cabin, the counselor has each camper perform the super secret handshake with ever
PSYCHO15rus [73]
Just try to follow my description. When two persons are in the cabin, there is only 1 handshake. When a third person comes, he will have to handshake the two people who came before him. So, there will be 2 handshakes. When a fourth person comes, he would make 3 handshakes with the 3 people who came before him. When the fifth person comes, he would make 4 handshakes with the 4 people who came before him. So, you see there is a pattern. The number of handshakes is 1 less than the total number of people inside the cabin. So, if there are 14 people in the cabin, the last person to come in would have to make 13 handshakes with the 13 people who came in first. Obtaining the sum of all the handshakes starting from the 2 handshakes initially to the 13 handshakes, the sum would be

Total handshakes = 2+3+4+5+6+7+8+9+10+11+12+13
Total handshakes = 90

Therefore, there will be a total of 90 handshakes made within the cabin of 14 people.
8 0
4 years ago
Are the two triangles similar?
Tpy6a [65]

Answer:

Option B Yes by AAA

Step-by-step explanation:

we know that

If the two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

so

\frac{HM}{MK}=\frac{GM}{MJ}

substitute the values and verify

\frac{8}{12}=\frac{6}{9}

simplify

\frac{2}{3}=\frac{2}{3} -------> is true

therefore

The triangles are similar by AAA------> the three angles are congruent

4 0
4 years ago
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