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2 years ago

To the nearest degree, what is the measure of the central angle for faucets? 37° 24° 48° 43°

Mathematics

2 answers:

Masteriza [31]2 years ago

4 0

Answer:

$\large\boxed{43^o}$

Step-by-step explanation:

$\text{Faucets}\to12\%\\\\p\%=\dfrac{p}{100}\to12\%=\dfrac{12}{100}=0.12\\\\12\%\ \text{of}\ 360^o\to0.12\cdot360^o=43.2^o\approx43^o$

vazorg [7]2 years ago

4 0

Answer: $43^{\circ}$

Step-by-step explanation:

From the given pie-chart, the percentage for faucets = 12 %

We know that every circle has angle of $360^{\circ}$ .

Now, the central angle for faucets is given by :-

$\text{Central angle}=\dfrac{\text{Percent of Faucets}}{\text{100}}\times360^{\circ}\\\\\Rightarrow\ \text{Central angle}=\dfrac{12}{100}\times360^{\circ}=43.2^{\circ}\approx43^{\circ}$

Hence, the measure of the central angle for faucets $\approx43^{\circ}$

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What is the distance between A(-8, 4) and B(4, -1)?

Anettt [7]

Answer:

The distance between A(-8, 4) and B(4, -1) is 13 units.

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula given by:

$\displaystyle d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

We have the two points A(-8, 4) and B(4, -1). Let A(-8, 4) be (x₁, y₁) and let B(4, -1) be (x₂, y₂). Substitute:

$d=\sqrt{(4-(-8))^2+(-1-4)^2}$

Evaluate:

$d=\sqrt{(12)^2+(-5)^2}$

So:

$d=\sqrt{144+25}=\sqrt{169}=13\text{ units}$

The distance between A(-8, 4) and B(4, -1) is 13 units.

7 0

2 years ago

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The open intervals on which f is concave upward. (enter your answer using interval notation.

N76 [4]

Khan academy has a lot on this sorry I couldn't answer bro

6 0

2 years ago

Pls help me in these two little exercises about the slope.

den301095 [7]

Answer:

3) $y=\dfrac35x+\dfrac25$

4) a) $y=-2x+7$

b) $y=\dfrac12x+\dfrac92$

Step-by-step explanation:

Exercise 3

$-3x + 5y = 2$

$\implies 5y = 3x + 2$

$\implies y=\dfrac35x+\dfrac25$

Exercise 4

a) If L2 is parallel to L1, it has the same slope (gradient) ⇒ $m = -2$

If L2 passes through point (3, 1):

$y-y_1=m(x-x_1)$

$\implies y-1=-2(x-3)$

$\implies y=-2x+7$

So L2 = L1

b) If L3 is perpendicular to L1, then the slope of L3 is the negative reciprocals of the slope of L1 ⇒ $m = \dfrac12$

If L3 passes through point (-5, 2):

$y-y_1=m(x-x_1)$

$\implies y-2=\dfrac12(x+5)$

$\implies y=\dfrac12x+\dfrac92$

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1 year ago

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You have just isolated a new radioactive element. If you can determine its half-life, you will win the Nobel Prize in physics. Y

Troyanec [42]

Staals half
1 gram left
0.3 grams left
half lives are normally written in years
it goes likt this

$A=P( \frac{1}{2})^ \frac{t}{h}$
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t=time elapsed
h=time half life is (same units as time)

let's use days as the units of time

we are given
initial amount=1gram
final amount=0.3gram
time=4 days

so
$0.3=1( \frac{1}{2})^ \frac{4}{h}$
solve for h
$0.3=( \frac{1}{2})^ \frac{4}{h}$
take the ln of both sides
$ln(0.3)=ln( \frac{1}{2})^ \frac{4}{h}$
$ln(0.3)=\frac{4}{h}ln( \frac{1}{2})$
times both sides by h
$hln(0.3)=4ln( \frac{1}{2})$
divide both sides by ln(0.3)
$h= \frac{4ln( \frac{1}{2}) }{ln(0.3)}$
use calculator
h=2.30287
3 sig figs
h=2.303 days

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3 years ago

For which value of theta is cot (theta) undefined?

sattari [20]

The cotangent function is defined as the ratio between cosine and sine of a given angle, i.e.

$\cot(x) = \frac{\cos(x)}{\sin(x)}$