An accountant earns an annual salary of $78, 252. Find her gross monthly salary.

Answer:

-0.708073 this is the exact answer im not sure if they want you to round or not

Step-by-step explanation:

Answer:

y-intercept = 2 so it’s the first answer option

Step-by-step explanation: How to find the slope. Slope is rise/run so choose one point on the graph, and figure out how many squares it goes up and how many over, that’s your slope. Then, to find the y-intercept, find the point where it intersects on the y-axis, in this case it looks like 2.

Answer:

36$

Step-by-step explanation:

Answer:

Step-by-step explanation:

take angle A as reference angle

using tan rule

tan A=opposite/adjacent

tan A=5/12

tan A=0.41

A=tan 22.5

A=22.5

for ratio,

tan A=5/12

Answer:

1 sample

Step-by-step explanation:

There is only one sample given for 20%

Answer:

the answer would be

b) 1 sample

If the radius of the circle is 5 cm and central angle is 80° then the area of the shaded region is 61.06.

Given that the radius of the circle is 5 cm and central angle is 80°.

We are required to find the area of the shaded region.

The area of the shaded region is basically the difference between the area of the whole circle and the area of the arc which is not shaded.

Area of circle=π[tex]r^{2}[/tex]

=3.14*25

=78.5 [tex]cm^{2}[/tex]

Area of the arc =([tex]r^{2}[/tex]Θ)/2

=(25*80π)/2*180

=(25*80*3.14)/360

=6280/360

=17.44

Area of the shaded region=78.5-17.444

=61.056

After rounding off to the nearest tenth it will be as under:

=61.06

Hence if the radius of the circle is 5 cm and central angle is 80° then the area of the shaded region is 61.06.

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Answer:

(x+5)²+(y+5)²=18

Step-by-step explanation:

r=√(-8+5)²+(-2+5)²=√(-3)²+(3)²=√9+9

=√18

the equation is :

(x+5)²+(y+5)²=18

The highlighted part is called Ray.

Answer:

a) (-1,4.5)

b)10.63 units

c)7/8

Step-by-step explanation:

a) To find this, we use the midpoint formula

(x,y) = (x1 + x2)/2 , (y1 + y2)/2

(x1,y1) = (3,8)

(x2,y2) = (-5,1)

(x,y) = (3 -5)/2 , (8 + 1)/2 = (-1, 4.5)

b) To calculate the distance D between two points, we use the formula;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(-5-3)^2 + (1-8)^2

D = √(-8)^2 + (-7)^2

D = √64 + 49

D = √113

D = 10.63 units

C) We use the slope formula here

m = (y2-y1)/(x2-x1)

m = (1-8)/(-5-3) = -7/-8 = 7/8

Answer:

y ≈ 61

Step-by-step explanation:

Using the Sine rule in the triangle

[tex]\frac{y}{sin117}[/tex] = [tex]\frac{21}{sin18}[/tex] ( cross- multiply )

y × sin18° = 21 × sin117° ( divide both sides by sin18° )

y = [tex]\frac{21sin117}{sin18}[/tex] ≈ 61 ( to the nearest whole number )

Answer:

Step-by-step explanation:

top left r= 0.9 ; top right r= 0.4

bottom left r=0; bottom right r= -0.4

if they are not around a line looking like r=0

if they resemble a line well is close to r=1

if line goes up from left to right is r positive

if line goes down from left to right is r negative

Answer:

where is the second one?

Step-by-step explanation:

Answer:

Radius of the circle is 5 units.

Step-by-step explanation:

JKLMN is a regular polygon inscribed in a circle.

Since, its a regular polygon,

JN = NM = 5.88 units

"Perpendicular drawn from the center of the circle to any chord is the bisector of the chord"

Therefore, PQ will be the perpendicular bisector of chord NM.

QM = [tex]\frac{1}{2}(NM)[/tex]

QM = [tex]\frac{1}{2}(5.88)[/tex]

QM = 2.94 units

By applying Pythagoras theorem in ΔPQM,

PM² = PQ² + QM²

PM² = (4.05)² + (2.94)²

PM = [tex]\sqrt{16.4025+8.6436}[/tex]

PM = [tex]\sqrt{25.0461}[/tex]

PM = 5 units

Therefore, radius of the circle is 5 units.

Answer:

Now, find the point where these two lines meet—that is the point with ... We just used them to help us locate the point \left(1,3\right) . ... Since x=2 , the point is to the right of the y-axis. Since y=-3 , the point is below the x-axis. ... Can you tell just by looking at the coordinates in which quadrant the point \left(-2 ... \left(3,-3\right)

Answer:

x = y/2+1/2

Step-by-step explanation:

Simplify the equation, leaving X on one side, giving you x=y/2+1/2.

Answer:

46

Step-by-step explanation:

Follow the order of operations

The value of the expression 6(24 ÷ 3) - 2 is 46.

To evaluate the expression 6(24 ÷ 3) - 2, we follow the order of operations, which is commonly referred to as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

First, we simplify the expression inside the parentheses:

24 ÷ 3 = 8

Now we substitute the result back into the original expression:

6(8) - 2

Next, we perform the multiplication:

6 * 8 = 48

Finally, we perform the subtraction:

48 - 2 = 46

Therefore, the value of the expression 6(24 ÷ 3) - 2 is 46.

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Answer:

I think the question is from Sequence.

on the basis that I have studied I think this is the way. if I am wrong sorry

Answer:

1-0.2=0.8

0.8*3300= 2640

Original price = 3300

sale = 20% = 3300×20/100 = 660

Selling price= 3300-660= 2640 rs

the sale price of the bicycle is 2640 Rs

Answer:

7 and 1/8 i think

Step-by-step explanation:

Answer:

150.86

Step-by-step explanation:

to calculate the surface area the formula is 2(wl+hl+hw). Hope I helped!

Using the Factor Theorem, the quadratic equation is given by:

[tex]f(x) = 6(x^2 + 10x + 24)[/tex]

The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

In this problem, we have a quadratic function, meaning that it has two roots, and it passes through (-6,0) and (-4,0), hence the roots are [tex]x_1 = -4, x_2 = -6[/tex], thus:

[tex]f(x) = a(x + 4)(x + 6)[/tex]

[tex]f(x) = a(x^2 + 10x + 24)[/tex]

Considering that it passes through (-3, -18), we can find a, hence:

[tex]18 = a[(-3)^2 + 10(-3) + 24][/tex]

[tex]3a = 18[/tex]

[tex]a = 6[/tex]

Hence the equation is:

[tex]f(x) = 6(x^2 + 10x + 24)[/tex]

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Answer:

M means measure so you're finding what PQR is

m∠PQR = about 60°

Answer:

Part A: ≈112.06

Part B: B

Step-by-step explanation:

Find the surface area and volume for the separate shapes, then add them up together

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Have a good day :)

Answer:

Step-by-step explanation:

loss amount=Rs 50000-Rs 45000

=Rs 5000

loss%=loss amount/original amount100%

=5000/50000*100

=500000/50000

=10%

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Answer:

2

Step-by-step explanation:

The degree of a polynomial is its highest exponent value: in this case, thats just two!

Answer:

degree 2

Step-by-step explanation:

The degree of a polynomial is determined by the largest value of the exponent attached to the variable.

f(x) = 2x² - 5x + 6 ← has the term 2x² with exponent 2 ( largest ), then

f(x) is a polynomial of degree 2

Answer: 12

Step-by-step explanation:

Answer:

0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals

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 490 mg and variance of 400.

This means that [tex]\mu = 490, \sigma = \sqrt{400} = 20[/tex]

What is the probability that a randomly selected pill contains at least 500 mg of minerals?

This is 1 subtracted by the p-value of Z when X = 500. So

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

[tex]Z = \frac{500 - 490}{20}[/tex]

[tex]Z = 0.5[/tex]

[tex]Z = 0.5[/tex] has a p-value of 0.6915.

1 - 0.6915 = 0.3085

0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals

The probability is 0.3085.

Let X=the amount of minerals.

We have to find P(X≥500).

Mean = 490.

Standard deviation = [tex]\sqrt{400}=20[/tex].

z score of 500 is = [tex]\frac{500-490}{20 } =0.5[/tex].

So, P(X≥500) = P(z≥0.5) = 1 - P(z<0.5) = 1-0.6915=0.3085.

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