If ∠P, ∠Q, and ∠R are given, as well as the value of p, then explain whether the Law of Sines or the Law of Cosines should be used to solve for q.

Law of Sines, two angles and an opposite side are known
Law of Sines, two sides and an opposite angle are known
Law of Cosines, two sides and the included angle are known
Law of Cosines, all sides are known

9514 1404 393

Answer:

  20%

Step-by-step explanation:

100 mL of the drink is coffee

The total amount of drink is 100 mL +400 mL = 500 mL. Then the fraction that is coffee is ...

  coffee/total = (100 mL)/(500 mL) = 1/5 = 1/5 × 100% = 20%

20% of Donna's drink is coffee.

Answer:

5

Step-by-step explanation:

(3 + 4i) + (2 - 3i) = 3 + 4i + 2 - 3i = 5 + i

distance between (5 + i) and (9 - 2i) is the difference between them. and difference means subtraction.

(9 - 2i) - (5 + i) = 9 - 2i - 5 - i = 4 - 3i

and since we are looking for a distance, we are looking for the absolute value of that subtraction.

after all, we could have done the subtraction also in the other direction

(5 + i) - (9 - 2i) = -4 + 3i

and this must be the same distance.

|(-4 + 3i)| = |(4 - 3i)|

and that is done by calculating the distance of any of these 2 points from (0,0) on the coordinate grid of complex numbers.

|(a +bi)| = sqrt(a² + b²)

in our case here

distance = sqrt(4² + (-3)²) = sqrt(16 + 9) = sqrt(25) = 5

as you can easily see, this is (as expected) the same for the result of the subtraction in the other direction :

sqrt((-4)² + 3²) = sqrt(16+9) = sqrt(25) = 5

Answer:

Step-by-step explanation:

0.883=1/0.836=1.133

The measure of ∠CAB is 31⁰​.

Given that,

Circle O has diameter AB and chord AC.

We have to determine,

The measure of ∠CAB if BC is 62⁰​.

According to the question,

The measurement of the required angle by using circle properties following all the steps given below.

The measure of the BC is 62 degrees.

If the circle has diameter AB and chord AC,

Then,

By the property of the circle,

[tex]\rm m\angle CAB = \dfrac{1}{2} \times BC \\[/tex]

Substitute the value of the BC in the equation,

[tex]m\angle CAB = \dfrac{1}{2} \times BC \\\\ m\angle CAB = \dfrac{1}{2} \times 62 \\\\ m\angle CAB = 31 \ degree \\\\[/tex]

Hence, The measure of ∠CAB is 31⁰​.

For more details refer to the link given below.

https://brainly.com/question/1319201

Answer:

Step-by-step explanation:

(f-g)=1

Answer:

a) 0.7683 = 76.83% probability that a randomly selected emergency call is between 5 and 10 minutes.

b) 0.0606 = 6.06% probability that a randomly received emergency call is of less than 5 min.

c) 0.1711 = 17.11% probability that a randomly received emergency call is of more than 10 min.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 8.1 minutes and a standard deviation of 2.0 minutes.

This means that [tex]\mu = 8.1, \sigma = 2[/tex]

a. between 5 and 10 min

This is the p-value of Z when X = 10 subtracted by the p-value of Z when X = 5.

X = 10

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{10 - 8.1}{2}[/tex]

[tex]Z = 0.95[/tex]

[tex]Z = 0.95[/tex] has a p-value of 0.8289

X = 5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{5 - 8.1}{2}[/tex]

[tex]Z = -1.55[/tex]

[tex]Z = -1.55[/tex] has a p-value of  0.0606

0.8289 - 0.0606 = 0.7683

0.7683 = 76.83% probability that a randomly selected emergency call is between 5 and 10 minutes.

b. less than 5 min

p-value of Z when X = 5, which, found from item a, is of 0.0606

0.0606 = 6.06% probability that a randomly received emergency call is of less than 5 min.

c. more than 10 min

1 subtracted by the p-value of Z when X = 10, which, from item a, is of 0.8289

1 - 0.8289 = 0.1711

0.1711 = 17.11% probability that a randomly received emergency call is of more than 10 min.

9514 1404 393

Explanation:

In a cyclic quadrilateral, opposite angles are supplementary. This means ...

  A + C = 180°   ⇒   A/2 +C/2 = 90°   ⇒   C/2 = 90° -A/2

  B + D = 180°   ⇒   B/2 +D/2 = 90°   ⇒   D/2 = 90° -B/2

It is a trig identity that ...

  tan(α) = cot(90° -α)

so we have ...

  tan(A/2) = cot(90° -A/2) = cot(C/2)

and

  tan(B/2) = cot(90° -B/2) = cot(D/2)

Adding these two equations together gives the desired result:

  tan(A/2) +tan(B/2) = cot(C/2) +cot(D/2)

Answer:

It will feed 13 dogs.

Step-by-step explanation:

1 dog = 5 lbs

Set up an equation:

Variable x = number of dogs

1/5 = x/65

Cross multiply:

1 × 65 = 5 × x

65 = 5x

Divide both sides by 5:

13

Check your work:

13 dogs × 5 lbs = 65 lbs

65 = 65

Correct!

Answer:

where is the photo

Step-by-step explanation:

Answer:

14.0833333333 feet | 13 feet

Step-by-step explanation:

169 Inches is 14.0833333333 feet on calculator compared to 13 feet

and 1.08333333333 is 14.0833333333 divided by 13

if is not it, then 13/14.0833333333 is 0.92307692307

i guess that is the lowest terms in ratio

Answer:

You need to ask yourself what times 20  gives you 600.  Then ask yourself what times 20 gives you 160.  Then that will give you your answer.

Step-by-step explanation:

5x+3=0

5x=–3

x=–3/5

x=– 0.6

Answer:

x = -3/5

Step-by-step explanation:

0 = 5x + 3

shift 3 to left hand side . when u are shifting 3 to other side it becomes negative

0 - 3 = 5x

-3 = 5x    (5x means 5*x)

now shift 5 to left hand side . multiplication changes to division when u shift.

-3/5 = x

Answer:

Explained below

Step-by-step explanation:

A) A skewed distribution in a dataset is when the median is not equal to the mean in such a manner that the bell curve is tilted to the left or right.

B) If in a data set, if there are outliers which are extremely large or extremely small in comparison to other values in that same dataset, then we can say that such a curve will be pulled towards the outlier and thus the distribution is skewed.

Also, if the curve is inclined to the left, it means there are few extreme values to the left and it is negatively skewed.

Similarly, if the curve is inclined to the right, it means there are few extreme values to the right and is positively skewed.

C) Example of a research question is;

If in a developed country where the poverty level is about 0%, if we collect the data of income of the households, we will discover majority of people with average income and very few people with extreme high levels of income. This condition means the data is positively skewed.

Step-by-step explanation:

The radius r is 5 in (r = D/2). so the volume V of the beach ball is

[tex]V= \dfrac{4 \pi}{3}r^3 = \dfrac{4 \pi}{3}(5\:\text{in})^3[/tex]

[tex]\:\:\:\:\:= 523.6\:\text{in}^3[/tex]

Answer:

Option (4)

Step-by-step explanation:

From the graph attached,

We have to find the interval in which the function is less than zero or negative.

Value of the function are along the y-axis and negative value of the function means negative side of the y-axis.

In the graph, function is below the x-axis in the interval x > 4 and x = 6 only.

Therefore, in the interval (4, 6] function f(x) < 0.

Option (4) is the correct option.

Answer:

g(2) = -42

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \left \{ {{g(1) = 50} \atop {g(n) = 8 - g(n - 1)}} \right.[/tex]

Step 2: Evaluate

Answer:

The new price is 48

Step-by-step explanation:

First find the markup

50% of 32

.5 * 32 = 16

Add the markup to the original price

16+32 = 48

The new price is 48

Answer:

$48

Step-by-step explanation:

32 * 0.50 = 16

32 + 16 = 48

Hope this is helpful

Answer:

Step-by-step explanation:

Answer:

36x² + 24x + 300 ft²

Step-by-step explanation:

→ Area of rectangle = Length × Width

→ Area of rectangle = (12x + 8) ft × (3x + 15) ft

→ Area of rectangle = 12x(3x + 15) + 8(3x + 15) ft²

→ Area of rectangle = 36x² + 180 + 24x + 120 ft²

→ Area of rectangle = 36x² + 24x + 300 ft²

Answer:

6x^3+x^2+3x-6

Step-by-step explanation:

f(x) = 4x² + 3x - 2

g(x) = 6x³ - 3x²-4

(f +g) (x)​ =4x² + 3x - 2+6x³ - 3x²-4

Combine like terms

             =6x^3+4x^2-3x^2+3x-2-4

             =6x^3+x^2+3x-6

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: {b}^{2} + 2b - 24}}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

[tex] \: (b + 6)(b - 4)[/tex]

➼[tex] \: b \: (b - 4) + 6 \: (b - 4)[/tex]

➼[tex] \: {b}^{2} - 4b + 6b - 24[/tex]

Combining like terms, we have

➼[tex] \: {b}^{2} + 2b - 24[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

24

Step-by-step explanation:

diff is 12

12x2 is 24

Answer:

y=3x-2

Step-by-step explanation:

You can verify it's not D because the y-intercept is at -2.

You can verify it's not A because that would mean the x-intercept is 2 despite it appearing to be closer to one.

You can verify it's not B because that would mean the x-intercept is 1.5

Answer:

-99

Step-by-step explanation:

Log(x-1)²=2

Log(x-1)²=Log(100)

(x-1)²=100

x-1=10 and x-1=-10

x₁=11     and x₂=-9

x₁ × x₂ = 11 × (-9) = -99

Answer:

[tex]x = 24.75[/tex]

Step-by-step explanation:

Required

Find x

To find x, we have:

[tex]\angle PQR + \angle RPQ + \angle QRP = 180[/tex] -- angles in a triangle

Because [tex]\bar {PR}[/tex] is extended to S, then:

[tex]\angle QRS = \angle QRP[/tex]

So, we have:

[tex]2x + 6 + x - 7 + 5x -17 = 180[/tex]

Collect like terms

[tex]2x + x + 5x = 180 + 17 + 7-6[/tex]

[tex]8x = 198[/tex]

Divide by 8

[tex]x = 24.75[/tex]

Answer:

C. y = 2x - 3

Step-by-step explanation:

you look at the number without the x. and the minus three means it's negative. But if it's a plus three then it's positive

Answer:

-3 1

Step-by-step explanation:

Answer:

[tex]\displaystyle V = \frac{8788 \pi}{3} \ ft^3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4 \pi}{3}r^3[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

r = 13 ft

Step 2: Find Volume

Answer:

The volume of this sphere is equal to [tex]2929\frac{1}{3} \pi ft^{3}[/tex]

Step-by-step explanation:

In order to solve this question, we need to know the formula for the volume of a sphere which is...

[tex]V = \frac{4}{3}\pi r^{3}[/tex]  ("V" is the volume of the sphere, and "r" is the radius of the sphere)

Now we have to substitute the values that we already know into the formula, and we will get that...

[tex]V = \frac{4}{3}\pi r^{3}\\\\V = \frac{4}{3} \pi (13ft)^{3} \\\\V = \frac{4}{3} \pi (2,197ft^{3} )\\\\V = 2,929\frac{1}{3} \pi ft^{3}[/tex]

Therefore, the volume of this sphere is equal to [tex]2929\frac{1}{3} \pi ft^{3}[/tex]

Answer:

actually I would have solved it but don't know the angle you're talking about

The given statement is false. Because If the r-value, or correlation coefficient, of a data set, is negative, the coefficient of determination is positive.

Two variables with a negative correlation tend to move in opposing directions.

While a correlation value of -0.3 or below shows a very weak association, one of -0.8 or lower suggests a significant negative relationship.

The complete question is;

"The given statement is true or false

If the r-value, or correlation coefficient, of a data set, is negative, the coefficient of determination is negative."

Because If a data set's r-value, or correlation coefficient, is negative, the coefficient of determination is positive.

Hence, the given assertion is incorrect.

To learn more about the correlation refer to:

https://brainly.com/question/6563788

#SPJ1

Answer:

1250 miligrams.

Step-by-step explanation:

Simple conversion, 2 grams = 2000 miligrams - 750 milligrams = 1250 miligrams.