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3 years ago

Find the rectangular coordinates of the point with the polar coordinates (7, 2pi/3)

1 answer:

4 0

Polar coordinates are given by (r,θ).
Rectangular coordinates are given by (x,y)=(rcos θ,rsin θ)

You are given the r and the θ.

You need to find what 7cos(2π3) is, then find 7sin(2π3).

x=−7/2
y=7√3/2

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CONSTRUCTION The area of Liberty Township’s square playground is represented by the trinomial x^2 - 10x + 25. Write an expressio

Phoenix [80]

Answer:

X=5 and X=5

Step-by-step explanation:

X²-10x+25=0

X²-5x-5x+25=0

X(x-5)-5(x-5)=0

(X-5) (x-5)=0

X-5=0. x-5=0

X=5. x=5

4 0

3 years ago

What is the volume of the cylinder below? Use 3.14 for pi.

neonofarm [45]

Answer:

about =502.65

Step-by-step explanation:

8 0

3 years ago

Given the legs of a right triangle are a = 21, b = 28, what is the length of the hypotenuse?

Alla [95]

That's a 3 4 5 right triangle scaled by a factor of 7, so the hypotenuse must be 5 times 7.

Answer: 35

7 0

3 years ago

Joan has a prescription for 100 Theophylline capsules. Joan informs the pharmacist that she only has enough money to purchase ¼

balandron [24]

Answer:

25 capsules.

Step-by-step explanation:

We are told that Joan has a prescription for 100 Theophylline capsules. Joan informs the pharmacist that she only has enough money to purchase ¼ of the prescription today.

To find the number of capsules that Joan will pay for today, we will find 1/4 of 100.

$\text{The number of capsules that Joan will pay for today}=\frac{1}{4}\times 100$

$\text{The number of capsules that Joan will pay for today}=25$

Therefore, Joan will pay for 25 capsules today.

5 0

3 years ago

QUESTION 1 Evaluate −30 ÷ −6. a 5 b −5 c 6 d −6 QUESTION 2 Evaluate 62 ÷ (3 + 9). a3 b4 c12 d21 QUESTION 3 Danny made a mistake

Mashcka [7]

Answer:

A; ?; Line 3

Step-by-step explanation:

Question 1:

-30 divided by -6 is 5.

The negatives cancel each other out.

And 30 divided by 6 is simply 5.

Question 2:

$62\div(3+9)$

Do the operation inside the parenthesis first:

$62\div12$

Divide. 12 does not go into 62 evenly. 12 times 5 is 60, so the answer is 5 remainder 2:

$62\div12=5\text { R}2$

Or in fractions:

$31/6$

(Was there a typo? From what you've given me, the correct answer is not listed.)

Question 3:

So we have to following steps:

$\text{Line 1: } 21+35\div7+6(2)\\\text{Line 2: }21+5+6(2)\\\text{Line 3: }21+11(2)\\\text{Line 4: }21+22\\\text{Line 5: }43$

The mistake is in Line 3. Danny cannot just combine 5+6(2) into 11(2). Instead, he should multiply 6(2) and then add. Thus, the correct solution is:

$\text{Line 1: } 21+35\div7+6(2)\\\text{Line 2: }21+5+6(2)\\\text{Line 3: }21+5+12\\\text{Line 4: }26+12\\\text{Line 5: }38$

3 0

3 years ago