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GarryVolchara [31]
3 years ago
9

A right triangle with vertices J(4, 0), K(0,0), and L(0,5) is rotated around the x-axis. To the nearest tenth of a unit, what is

the volume of the resulting three-dimensional figure formed? Approximate as 3.14.
a. 83.7 units^3
b. 104.7 units^3
c. 251.2 units^3
d. 314.0 units^3
Mathematics
1 answer:
statuscvo [17]3 years ago
5 0
This is the concept of graphs and volume of the solid figures, given that the triangle J,K,L was rotated along the x-axis, the resultant figure was cone with with radius of 5 units and a height of 4 units;
The volume of a cone is given by;
V=πr^2(h/3)
r=5 units
h=4 units
V=π*5^2*(4/3)
V=104.72 units^3
the answer is B]
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Suppose that two small cities have the same longitude, which gives the east-west position of a point on Earth's surface. One has
wel

Answer:

Distance between A and B is 2672 km.

Step-by-step explanation:

Since one city B is having latitude of 23° and other town is having latitude of 47°.Radius of Earth has been given as 6380 km.

Therefore arc A from x-axis will be A = 2πr(∅/360) = 2×3.14×6380×(47/360)

= 5230.90 km

Now arc B from x-axis = 2πr(∅'/360) = 2×3.14×6380(23/360) = 2559.80 km

Therefore distance between them = 5230.9-2559.8 = 2671.9 ≅ 2672 km

Now we will rewrite the arc length formula in radians.

arc A = r×(∅×π/180)

arc A = 6380×(47×π/180) = 1665.9π

arc B = 6380×(23×π/180) = 815.22π    

Now the distance between A and B =  850.68π

6 0
2 years ago
5) h(x) = 2x + 4; Find h(-3)
olya-2409 [2.1K]

Answer:

-2

Step-by-step explanation:

You make x= -3 then you insert it into the problem which is x= 2(-3)+4

2 times -3 is -6 which then you would get

-6+4 which equals -2

5 0
3 years ago
Find the greatest possible error for each measurement.<br> 12.3 L
melisa1 [442]

Answer:

the GPE is 1/2 the unit of measure used to make the measurement or you say 1/2 the most precise unit

12.3 L has 0.1 as the most precise unit of measure, so 1/2 of 0.1 is 0.05 L which is c. above

look at it this way: 12.3 can be any number between 12.25 and 12.34 rounded to the nearest tenth

any number from 12.25 to 12.34 rounded to the nearest tenth gives you 12.3, so the GPE that you can possibly make is 0.05; if the number was 12.24 it would round down to 12.2 not up to 12.3 and if the number was 12.35 it would round up to 12.4 not round down to 12.3, so again the greatest possible error that you can make is 0.05

6 0
2 years ago
The scale factor for a model is 5cm= m model: 9.5cm actual : 30.5m
MaRussiya [10]

We are given dimensions of model and actual figure.

model: 9.5cm actual : 30.5m.

We need to find the length of actual shape for the scale factor 5cm.

Let us assume actual length be x m.

Let us set a proportion now.

<h3>5 : x = 9.5 : 30.5</h3>

Let us convert proportion into fractions.

\frac{5}{x}=\frac{9.5}{30.5}

On cross multiplying, we get

9.5x = 5× 30.5

9.5x = 152.5.

On dividing both sides by 9.5, we get

\frac{9.5x}{9.5}=\frac{152.5}{9.5}

x=16.05.

<h3>Therefore, the scale factor for a model is 5cm= 16.05 m.</h3>

6 0
3 years ago
A shop owner offered a 20%discount off the regular price of a mirror.The amount of the discount is $3.00
Scrat [10]

Answer:

A) $15

Step-by-step explanation:

let x represent the regular price of the mirror

so, 20% of x = 3

20/100 * x = 3

20x = 300

x = 300/20

x = 15

Hence, the regular price of the mirror is $15

8 0
3 years ago
Read 2 more answers
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