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shepuryov [24]
3 years ago
8

Either enter an exact answer in terms of foe use 3.14 for a

Mathematics
1 answer:
Elena L [17]3 years ago
4 0

Answer:

200π; 628

Step-by-step explanation:

The volume of a cone can be found with the formula:

V=πr^2(h/3)

Now, we can plug the values that we know in.

Height is 6

Radius is 10

That said, our equation is now:

V=π10^2(6/3)

Simplify.

V=π100(2)

V=200π

Or, using 3.14 for pi it would be:

200(3.14)

628

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The number m divided by 10 leaves a remainder of 1, and the number n divided by 10 leaves a remainder of 4. What will be the rem
kozerog [31]

Answer:

1

Step-by-step explanation:

Add 4+1=5 then do 5÷5=1

7 0
3 years ago
Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(4, 0), Q(0, −4), and R(−8, −4). Triangle P'Q'R' has
Whitepunk [10]

Answer:

Please find attached the required plot accomplished with an online tool

Part A:

1/4

Part B:

P''(-1, 0),  Q''(0, -1), and R''(2, -1)

Part C:

Triangle PQR is similar to triangle P''Q''R'' but they are not congruent

Step-by-step explanation:

Part A:

Triangle ΔPQR has vertices P(4, 0), Q(0, -4), R(-8, -4)

Triangle ΔP'Q'R' has vertices P'(1, 0), Q'(0, -1), R'(-2, -1)

The dimensions of the sides of the triangle are given by the relation;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

Where;

(x₁, y₁) and (x₂, y₂) are the coordinates on the ends of the segment

For segment PQ, we place (x₁, y₁) = (4, 0) and (x₂, y₂) = (0, -4);

By substitution into the length equation, we get;

The length of segment PQ = 4·√2

The length of segment PR = 4·√10

The length of segment RQ = 8  

The length of segment P'Q' = √2

The length of segment P'R' = √10

The length of segment R'Q' = 2

Therefore, the scale factor of the dilation of ΔPQR to ΔP'Q'R' is 1/4

Part B:

Reflection of (x, y) across the y-axis gives;

(x, y) image after reflection across the y-axis = (-x, y)

The coordinates after reflection of P'(1, 0), Q'(0, -1), R'(-2, -1) across the y-axis is given as follows;

P'(1, 0) image after reflection across the y-axis = P''(-1, 0)

Q'(0, -1) image after reflection across the y-axis = Q''(0, -1)

R'(-2, -1) image after reflection across the y-axis = R''(2, -1)

Part C:

Triangle PQR is similar to triangle P''Q''R'' but they are not congruent as the dimensions of the sides of triangle PQR and P''Q''R'' are not the same.

6 0
3 years ago
Solve. check for extraneous solutions sqrt x+7-x=1
leva [86]

Answer:

i belive the answer should be x = 0

Step-by-step explanation:

Since two opposites add up to zero, remove them from the expression

and then 7=1 the statement is false for any value of x

3 0
3 years ago
What is the number 154 798 105 in expanded notation​
Rama09 [41]

Expanded form:

1 × 100,000,000
+ 5 × 10,000,000
+ 4 × 1,000,000
+ 7 × 100,000
+ 9 × 10,000
+ 8 × 1,000
+ 1 × 100
+ 0 × 10
+ 5 × 1

I hope it helps :)
4 0
3 years ago
Solve the following equation for the variable x. ( 1/27 is a fraction )
igor_vitrenko [27]
The answer is,
\frac{10935}{59048}
Also equivalent to about, 0.185188.
5 0
3 years ago
Read 2 more answers
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