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3 years ago

What is 15.25×45.75=

Mathematics

2 answers:

Wittaler [7]3 years ago

8 0

Answer:

Hello, The answer is 697.6875

<em>Hope This Helps!</em>

givi [52]3 years ago

5 0

Answer:

697.68.75

Step-by-step explanation:

You multiply 15.25 and 45.75

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Convert the Cartesian equation x^2 + y^2 = 16 to a polar equation.

RideAnS [48]

Answer:

Problem 1: $r=4$

Problem 2: $r=-2\sin(\theta)$

Problem 3: $r\sin(\theta)=3$

Step-by-step explanation:

Problem 1:

So we are going to use the following to help us:

$x=r \cos(\theta)$

$y=r \sin(\theta)$

$\frac{y}{x}=\tan(\theta)$

So if we make those substitution into the first equation we get:

$x^2+y^2=16$

$(r\cos(\theta))^2+r\sin(\theta))^2=16$

$r^2\cos^2(\theta)+r^2\sin^2(\theta)=16$

Factor the $r^2$ out:

$r^2(\cos^2(\theta)+\sin^2(\theta))=16$

The following is a Pythagorean Identity: $\cos^2(\theta)+\sin^2(\theta)=1$ .

We will apply this identity now:

$r^2=16$

This implies:

$r=4 \text{ or } r=-4$

We don't need both because both of include points with radius 4.

Problem 2:

$x^2+y^2+2y=0$

$(r\cos(\theta))^2+(r\sin(\theta))^2+2(r\sin(\theta))=0$

$r^2\cos^2(\theta)+r^2\sin^2(\theta)+2r\sin(theta)=0$

Factoring out $r^2$ from first two terms:

$r^2(\cos^2(\theta)+\sin^2(\theta))+2r\sin(\theta)=0$

Apply the Pythagorean Identity I mentioned above from problem 1:

$r^2(1)+2r\sin(\theta)=0$

$r^2+2r\sin(\theta)=0$

or if we factor out r:

$r(r+2\sin(\theta))=0$

$r=0 \text{ or } r=-2\sin(\theta)$

r=0 is actually included in the other equation since when theta=0, r=0.

Problem 3:

$y=3$

$r\sin(\theta)=3$

8 0

4 years ago

5(4d-4+d)-6d equals what

S_A_V [24]

<span>19d - 20 is the answer because you need to simplify.</span>

5 0

3 years ago

Read 2 more answers

A 42-inch piece of steel is cut into 3 pieces so that the 2nd piece is twice as long as the 1st piece, and the 3rd piece is 2 in

Galina-37 [17]

Answer:

1st piece = Piece A = 5 inches

2nd piece = Piece B = 10 inches

Third Piece = Piece C = 27 inches

Step-by-step explanation:

A 42-inch piece of steel is cut into 3 pieces

Let the lengths be represented as:

1st piece = Piece A

2nd piece = Piece B

Third Piece = Piece C

Hence:

A + B + C = 42

The 2nd piece is twice as long as the 1st piece

B = 2A

The 3rd piece is 2 inches more than 5 times the length of the first piece.

C = 5A + 2

Hence: we substitute

A + B + C = 42 inches

A + 2A + 5A + 2 = 42 inches

8A = 42 - 2

8A = 40 inches

A = 40 inches/8

A = 5 inches

Solving for B

B = 2A

B = 2 × 5 inches

B = 10 inches

Solving for C

C = 5A + 2

C = 5 × 5 + 2

C = 25 + 2

C = 27 inches

Therefore, the lengths of the 3 pieces =

1st piece = Piece A = 5 inches

2nd piece = Piece B = 10 inches

Third Piece = Piece C = 27 inches

4 0

3 years ago

Which recursive formula can be used to represent the sequence<br> 2,5, 8, 11, 14, ... ?

Serga [27]

sorry i don't know the answer to this question

3 0

3 years ago

Find the surface area of the triangular prism.

Ivahew [28]

The surface area of the triangular prism is 93 squared feet.

<h3>What is the surface area of the triangular prism?</h3>

The surface area of triangular prism is expressed as;

S.A = bh + ( s₁ + s₂ + s₃ )H

From the diagram;

h = 2ft
b or s₁ = 3ft
s₂ = 3ft
s₃ = 3ft
H = 10ft

We substitute our given values into the equation above.

S.A = bh + ( s₁ + s₂ + s₃ )H

S.A = (3ft × 2ft) + ( 3ft + 3ft + 3ft )10ft

S.A = 3ft² + ( 9ft )10ft

S.A = 3ft² + 90ft²

S.A = 93ft²

The surface area of the triangular prism is 93 squared feet.

Learn more about prisms here: brainly.com/question/21079821

#SPJ1

6 0

2 years ago