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jeyben [28]
3 years ago
13

Otto is sitting on 10 blocks of gold. The blocks are in the shape of right trapezoidal prisms. The trapezoidal base of the prism

has bases of 10 inches and 7 inches with a height of 8 inches. The lateral edge of the prism is 19 inches.
a) Upon how many total cubic inches of gold is he sitting?
b) Determine the worth of Otto's gold based upon the gold pricing of $13,067.76 per troy pound. Utilize the following information:
• there are 1728 cubic inches in 1 cubic foot.
• there are 1,206.83 pounds of gold in 1 cubic foot.
• there are 0.82 pounds in 1 troy pound.
Mathematics
1 answer:
never [62]3 years ago
3 0
Tne znswer ks gonna be 9450 and your welcome
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Lunna [17]
I would do it in Buhh I'm working so add all of them(16,18,20) together 6 times then add another 16 and 18 and you will get your answer.
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Find the volume of the solid generated when R​ (shaded region) is revolved about the given line. x=6−3sec y​, x=6​, y= π 3​, and
Dmitrij [34]

Answer:

V=9\pi\sqrt{3}

Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

V=\int\limits^b_a {\pi r^{2}} \, dy

where:

r=6-(6-3 sec(y))

r=3 sec(y)

a=0

b=\frac{\pi}{3}

so the volume becomes:

V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy

This can be simplified to:

V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy

and the integral can be rewritten like this:

V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy

which is a standard integral so we solve it to:

V=9\pi[tan y]\limits^\frac{\pi}{3}_0

so we get:

V=9\pi[tan \frac{\pi}{3} - tan 0]

which yields:

V=9\pi\sqrt{3}]

6 0
3 years ago
I will upvote and give brainliest answer
grigory [225]

Answer:

The answer is 67 degrees.

Step-by-step explanation:

The angle x is supplementary with 23 degrees because that angle is an alternate interior. Recall that is within a right angles as well so

90 - 23 = 67

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______________ conveys information about the relative scarcity of a good, such as whether a shortage or a surplus exists.
iris [78.8K]
I need this one too! Please help us!!
4 0
3 years ago
12x15y=4140; x+y= ? <br> solve.
Semenov [28]

Answer: The number of $12 tickets and $15 sold are 120 and 180 respectively.

Step-by-step explanation:

The given equation is:

12x + 15y = 4140             .....(1)

Where,

x stands for $12 tickets and y stands for $15 tickets

According to the question:

x + y = 300           ....(2)

Now solving equation 1 and 2.

From equation 2:

x = 300 - y

Now putting this expression in equation 1.

12x + 15y = 4140

12(300 - y) + 15y = 4140

3600 - 12y + 15y = 4140

3600 + 3y = 4140

3y = 4140 - 3600

3y = 540

y = 180

And,

x = 300 - y = 300 - 180 = 120

The number of $12 tickets sold = x = 120

The number of $15 tickets sold = y = 180

Thus, the number of $12 tickets and $15 sold are 120 and 180 respectively.

4 0
3 years ago
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