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3 years ago

Please help WOrth 10 points

Mathematics

1 answer:

rjkz [21]3 years ago

6 0

Answer:

52 cubic units

Step-by-step explanation:

1. Divide the shape into 2 parts:

The first one: a 2 by 4 by 6 rectangular prism.

The second one: a 1 by 4 by 1 rectangular prism.

2. Find the volumes of the prisms.

2*4*6=48

1*4*1=4

3. Add the two volumes

48+4=52 cubic units (or units^3)

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Find an equation of the sphere through the point (4,3,-1) and has center (3,8,1).

sleet_krkn [62]

Answer:

$(x - 3)^{2} + (y - 8)^{2} + (z - 1)^{2} = 30$

Step-by-step explanation:

The general equation of a sphere is as follows:

$(x - x_{c})^{2} + (y - y_{c})^{2} + (z - z_{c})^{2} = r^{2}$

In which the center is $(x_{c}, y_{c}, z_{c}$ , and r is the radius.

In this problem, we have that:

$x_{c} = 3, y_{c} = 8, z_{c} = 1$

$(x - 3)^{2} + (y - 8)^{2} + (z - 1)^{2} = r^{2}$

through the point (4,3,-1)

This leads us to find the radius.

$(4 - 3)^{2} + (3 - 8)^{2} + (-1 - 1)^{2} = r^{2}$

$r^{2} = 1 + 25 + 4$

$r^{2} = 30$

So the equation of the sphere is:

$(x - 3)^{2} + (y - 8)^{2} + (z - 1)^{2} = 30$

6 0

3 years ago

How do i solve 2/7v-1/7+14=20

SashulF [63]

Answer: 1: Combine multiplied terms into a single fraction

2: Multiply the numbers

3: Add the numbers

4: Solution

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Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Copy the figure. Identify and describe the number of lines of symmetry for the

MakcuM [25]

Answer:

Non-isosceles Trapezoid: "0" (No) number of lines of symmetry

Rotational symmetry order: 0 , Rotational Symmetry angle: none

Step-by-step explanation:

Non-isosceles Trapezoid: "0" (No) number of lines of symmetry

Rotational symmetry order: 0 , Rotational Symmetry angle: none

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3 years ago

the annual interest rate on a credit card is 14.99% . If the minimum payment of 40$ is made each month, how many months will it

zmey [24]

Answer:

Let's try and figure it out yearly:

So for the first year the deposits would amount to 40 * 12 = $480

Now since the interest rate is applied yearly we will assume that the interest rate will be applicable to the amount that is left after the first year of deposits

So that would be 889.98 - 480 = 409.98

409.98 * 14.99 % = 61.45

The new amount owed for the second year would be 409.98 + 61.45 = 471.43

So by the end of the second year the debt would of been wiped clean with $8.57 to spare.

So the answer would be 24 months

Step-by-step explanation:

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3 years ago

What is 11183333.3 in scientific notation

umka2103 [35]

11183333.3/10^7 = 1.11x10^-7.

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3 years ago