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3 years ago

If the diameter of a sphere is 4 ft, then what is its surface area? Leave your answers in terms of π

Mathematics

2 answers:

Lerok [7]3 years ago

8 0

The diameter is = (4/3)(pi)(d/2)(d/2) = (4/3)(pi)(16) = pi*64/3

torisob [31]3 years ago

6 0

Answer:

Step-by-step explanation:

π= 180

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What is the value of x? A. 4 B. 4√3 C. 8 D. 8√3

Paladinen [302]

The answer is B. I used the trigonometric sine formula

$\sin(60) = \frac{x}{8 }$

$\sin(60) \times 8 = x$

$x = 6.93$

And

$4 \sqrt{3} = 6.93$

8 0

2 years ago

Hello need help with this one to and thanks and have a great day or weekend and be safe

Mandarinka [93]

Answer:

a) It's a quadratic

b) f(x) = A(x-3)(x-7)

c) she is right

Step-by-step explanation:

(0-12)/(3-1) = -6

(-4-0)/(5-3) = -2

Since the slope is not constant, it can't be a linear.

Therefore a quadratic

Since the zeroes are 3 and 7,

Factors are (x - 3) and (x - 7)

f(x) = A(x - 3)(x - 7)

Use any one point besides the x-intercepts to find A

12 = A(1-3)(1-7)

12 = 12A

A = 1

f(x) = (x - 7)(x - 3)

f(x) = x² - 7x - 3x + 21

f(x) = x² - 10x + 21

She is right

7 0

3 years ago

Read 2 more answers

Can you please answer this question

tamaranim1 [39]

$3tan^{2} \theta +7sec\theta=3$
First I converted the equation terms into sine and cosine.
$tan^{2}\theta = \frac{sin^{2}\theta}{cos^{2}\theta}$ and $sec\theta= \frac{1}{cos\theta}$
Substitution:
$\frac{3sin^2\theta}{cos^2\theta} + \frac{7}{cos\theta} =3$
Common Denominator Created:
$\frac{3sin^2\theta}{cos^2\theta} + \frac{7cos\theta}{cos^2\theta} =3$
Multiply each term by the LCD:
$3sin^2\theta+7cos\theta=3cos^2\theta$
Substitution: Recall ⇒ $sin^2\theta =1-cos^2\theta$
$3(1-cos^2\theta)+7cos\theta=3cos^2\theta$
Distribute and collect all terms on one side:
$6cos^2\theta-7cos\theta-3=0$
Factor and set each factor equal to 0:
$(2cos\theta-3)(3cos\theta+1)=0$
$2cos\theta-3=0$ ⇒ $theta=cos^{-1} \frac{3}{2}$
$3cos\theta+1=0$ ⇒ $theta=cos^{-1} \frac{-1}{3}$
The 2nd factor provides only possible answer 109.5 degrees

4 0

3 years ago

the probability tree diagram shows the probabilities that a football team will win their first two games find the probability of

nevsk [136]

Answer:1/2

Step-by-step explanation: