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dedylja [7]
3 years ago
6

Admission for adults is 12 dollars. Admission for kids is eight dollars.One day 575 people entered the cave paying 5600 how many

adults into the cave
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
5 0

Answer:

Step-by-step explanation:

Admission for adults is 12 dollars. Admission for kids is eight dollars.One day 575 people entered the cave paying 5600 how many adults into the cave

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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 8 sin(x
V125BC [204]

Answer with explanation:

The equation of two curves are

y=8 sin x

y=8 cos x

The point of intersection of two curves are

→8 sin x=8 cos x

sinx = cos x

x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2}

When you will look between points , 0 and x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2},the curve obtained is right angled triangle.

Now, rotate the curve that is right angled triangle along the line , y= -1, to obtain a shape similar or resembling with Right triangular prism.

Draw a circular disc in the right triangular prism , having radius =x,and small part on the triangle having length dx.dx varies from 0 to \frac{\pi}{4}.

Required volume of solid obtained

    =\int\limits^{\frac{\pi}{4}}_0 {8 \sin x} \, dx \\\\=|-8\cos x|\left \{ {{x=\frac{\pi}{4}}} \atop {x=0}} \right.\\\\=8-4\sqrt{2}

    =8-4√2 cubic units    

5 0
3 years ago
If you are going 43.5 miles per hour how many feet per second are you traveling?
Olenka [21]

Answer:

63.7999... (repeating) fps

Step-by-step explanation:

Feet per second (fps) per one (1) mph is 1.4666... repeating

so 43.5 * 1.46666... = 63.7999.. repeating

hope this helps:)

5 0
2 years ago
A castle has to be guarded 24 hours a day. Five knights are ordered to split each day’s guard duty equally. How long will each k
Kisachek [45]
I think that is 248 min in one day because 24/5 is 4.8. 4hours and 8 min. 4 times 60 is 240. 240 plus 8 is 248 this is what I think.
7 0
3 years ago
the the circle shape part of the necklace above has a diameter of 5 mm the circumfrence of the circle-shaped part of each of the
tankabanditka [31]
7.855 mm maybe the answer unless rounded to the tenths place to be 7.9 mm.
8 0
4 years ago
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Maria cut a trapezoid out of a large piece of felt. Tha trapezoid has a height of 9 cm and bases of 6 cm and 11 cm. What is the
stiks02 [169]
The area of Marcia's trapezoid felt is 76.5 sqaured centimeters
7 0
3 years ago
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