What is the salesperson's commission on a $900
sale if the commission rate is 25%?

We can infer here that the inverse tangent is used to find a missing angle measure when we are given the opposite side and the adjacent side.

An inverse tangent is known to be the formula that is used to find an angle of a right-angled triangle when certain sides are given. This is true when opposite and adjacent sides are given.

Thus, to find an angle using inverse tangent, we will have: θ = tan-1[ (opposite side) / (adjacent side) ].

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Answer:

this is easy. we know that he spent $19 total, 1 coffee that costed $5, and that each cookie costs $2. all you have to do is subtract 5 from 19 and divide the remaining amount of money (14) by 2. this makes 7 the amount of cookies Bill bought.

Answer:

Data set doesn't go to 17

Step-by-step explanation:

None of the numbers go to 17

Answer:

1st option. the data set doesn't GO to seventeen

Step-by-step explanation:

look at the number line. I always had trouble with this so I get where your coming from first, look at where the line is touching don't pay attention to the box yet because it's confusing the entire point of this line is to show you that there MAY have been 1 or two people who where at 0 for this data and 1 or two people who were at 15

the point here is that the bulk of the data was 11-14, but because there were less people down lower, the mean of the data is at 13, and the data is bigger (skewed) to the left.

making everything lekse true except for the first option.

Answer:

5 miles

Step-by-step explanation:

Here is a more clear question :

A kangaroo hopped 3,520 yards to the lake with her baby in her pouch. She hopped the remaining 5,280 yards without her baby in her pouch. How many miles did the kangaroo hop to the lake? Miles

to determine the answer

1. add the yards hopped with the baby with the yards hopped without the baby together

3520+5280=8800 yards

2. convert yards to miles

1 yards = 0.000568182 miles

0.000568182 x 8800 = 5 miles

Answer:

I believe it's C I had this on my test and I got it right

Answer: 0.025

Step-by-step explanation:

Answer:Sara hina and Arslan Have RS79.4,RS 72.4 and RS238.2 respectively.

Step-by-step explanation:

Step 1

Let the amount that hina has be x

the amount that sara has be represented as  7+x

and the amount that Arslan have be represented as 3(7+x)

such that the total amount in their wallet which is 390 can be expressed as

x+7+x + 3(7+x)=390

Step 2

Solving

x+7+x +21+3x=390

5x+28=390

5x==390-28

x=362/5=72.4

Hina has RS 72.4

Sara =7+x==72.4+77= RS 79.4

Arslan =3(7+x)=3 x 79.4=RS 238.2

Answer: -58.5

Step-by-step explanation:

If Fiona deposited $900 in the bank over 2 years. She earned $60 in

simple interest at the end of the 2 years then 3.33% is the annual

interest rate.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Fiona deposited $900 in the bank over 2 years.

She earned $60 in simple interest at the end of the 2 years.

We have to find the annual interest rate

I=PRT

60=900×2×T

60=1800T

Divide both sides by 1800

T=3.33%

Hence,  the annual interest rate is 3.33%

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Step-by-step explanation:

d=100° <------opposite angle of a parallelogram are equal

then c=96°

Answer:

The diagonal length is the square root of 128 so 11.31 inches

Answer:

nbr2 = 0

Step-by-step explanation:

Given

The following program segment

nbr2 = 0

calc = 1

x= 7

while x >=3:

   calc = calc * x

   x = x - 2

Required

The value of nbr2

In the first line, nbr2 was initialized to 0 i.e.

nbr2 = 0

From the second line of the program till the last, no operation was carried out on nbr2

This means that nbr2 will maintain its original value (which is 0)

Hence,

The value of nbr2 is 0

Latasha needs to run 0.23 minutes more minutes to complete the mile.

What is the speed of a runner?

The speed of a runner is the ratio of the distance covered in a specific time.

Given,

Latasha ran a mile in 7.03 minutes and Erik ran a mile in 6.8 minutes.

Therefore, difference in time = (7.03 - 6.8) minutes = 0.23 minutes.

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Answer: B

The Vertical Angles Theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent. This means that 48° should equal (7x+13)°, because they're vertical angles. The equation should appear as 48=7x+13. Subtract 13 on both sides to get. 35=7x. Divide 7 on both sides to result with x=5.

Answer:

2 kilograms of sweet potato

Step-by-step explanation:

1 kilogram = 1000 grams.

So, to find how many kilograms there are divide by 1,000

2,000 ÷ 1,000 = 2

So, there are 2 kilograms needed.

Have a great day!

Answer:

1st:  Equal to

2nd:  Greater than

3rd:  Less than

Answer:

Step-by-step explanation:

So the second problem 325 x 1 2/3 is greater then 325

Answer:

500 Votes

Step-by-step explanation:

25/100 = 0.25

500/2000 = 0.25

Therefore 500 students would vote for Jen.

Answer:

We can't see the image of the spinner. So let's solve this in a general way.

Let's assume that the probability of landing on E is:

P(E)

And the same for all the letters, we will have:

P(A), P(B), P(C), P(D).

Then, the probability of the spinner landing on E for the first spin is just P(E).

Now, the probability of landing on either C or D is: P(C) + P(D)

The joint probability, thus, the probability of both events happening is:

P = P(E)*(P(C) + P(D))

Now, if each letter has the same probability (and we have 5 of them)

Then:

P(E) = 0.2

P(C) = 0.2

P(D) = 0.2

Replacing that in the equation we would get:

P = 0.2*(0.2 + 0.2) = 0.2*0.4 = 0.08

Step-by-step explanation:

The point of intersection occurs when the two graphs have equal values of  x and  y at the same time. There is only one solution, because two straight lines can only intersect once.

[tex]y =4x^2 + 8x + 3 , y = x + 5\\\\4x^2 + 8x + 3 = x +5\\\\4x^2 + 8x + 3 -x -5 = 0\\\\4x^2 +7x -2 =0\\\\4x^2 + 8x -x - 2 = 0\\\\4x(x + 2) -1(x+2) = 0\\\\(4x - 1)(x+2) =0\\\\4x -1 = 0 , x+2 =0\\\\x = \frac{1}{4}, -2[/tex]

[tex]x_1 = \frac{1}{4}, x_2 =-2[/tex]

[tex]y_1 = 4x^2 + 8x + 3 \\\\x_1 = \frac{1}{4}\\\\y_1 = 4(\frac{1}{4})^2 + 8(\frac{1}{4}) + 3 = \frac{1}{4} + 2 + 3 = \frac{1}{4} +5 = \frac{21}{4}\\\\y_2 = x+ 5\\x_2 = -2\\y_2 = -2 + 5 =3[/tex]

Answer :

[tex](x_1, y_1) = (\frac{1}{4} , \frac{21}{4})\\\\(x_2,y_2) = (-2, 3)[/tex]

Answer:

(- 2, 3 ) and ([tex]\frac{1}{4}[/tex], [tex]\frac{21}{4}[/tex] )

Step-by-step explanation:

Given the 2 equations

y = 4x² + 8x + 3 → (1)

y = x + 5 → (2)

Substitute y = 4x² + 8x + 3 into (2)

4x² + 8x + 3 = x + 5 ( subtract x + 5 from both sides )

4x² + 7x - 2 = 0 ← in standard form

(x + 2)(4x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

4x - 1 = 0 ⇒ 4x = 1 ⇒ x = [tex]\frac{1}{4}[/tex]

Substitute these values into (2) for corresponding values of y

x = - 2 : y = - 2 + 5 = 3 ⇒ (- 2, 3 )

x = [tex]\frac{1}{4}[/tex] : y = [tex]\frac{1}{4}[/tex] + 5 = [tex]\frac{21}{4}[/tex] ⇒ ([tex]\frac{1}{4}[/tex], [tex]\frac{21}{4}[/tex] )

Answer:

Your answer is 50%

Step-by-step explanation:

12 Tiles in total.

6 of them are green, so half of them are green.

The green object below, is best defined as a Ray named AC.

In geometry, a ray is a part of a line that consists of a single initial point called the endpoint and extends infinitely in one direction. It can be thought of as a half-line, with one end point and the other end extending infinitely.

Rays are named using two points, with the endpoint being mentioned first.

Here, in the figure the green line has one point A and the next C and it is further extending.

Thus, the Green line is a Ray name as ray AC.

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Answer: 118 degrees

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

So...

180 - (42+20) = 118 degrees

Answer:

given,

angles of triangle= 42°, 20° , x(let)

we know,

The sum of interior angles of triangle is 180°

so,

42°+20°+x=180°

62°+x=180°

X=180°-62°

X= 118°

Hence,the other angle is 118°

Answer:

8np

Step-by-step explanation:

2 x 4 = 8

8 * n * p = 8np

Answer:

I believe the answer would be 3v2+4v+5

Answer:

These are all equivalent expressions

Step-by-step explanation:

6x+12

6(x+2)

12(.5x+1)

1.5(4x+12)

Answer:

D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

b/c 2x·2x-7·7

=4x²-49

Answer:

523.598776

Step-by-step explanation:

round to 524

Answer:

a) The volume of the box is represented by [tex]V = 21\cdot x - 20\cdot x^{2}+4\cdot x^{3}[/tex].

b) A side length of 0.653 inches leads to the maximum volume of the box: 6.299 inches.

Step-by-step explanation:

a) The volume of the box ([tex]V[/tex]), in cubic inches, is modelled by the equation for the cuboid:

[tex]V = (3-2\cdot x) \cdot (7-2\cdot x) \cdot x[/tex] (1)

Where [tex]x[/tex] is the side length of the cutted square corners, in inches.

[tex]V = (21 - 20\cdot x + 4\cdot x^{2})\cdot x[/tex]

[tex]V = 21\cdot x - 20\cdot x^{2}+4\cdot x^{3}[/tex]

The volume of the box is represented by [tex]V = 21\cdot x - 20\cdot x^{2}+4\cdot x^{3}[/tex].

b) The method consist in graphing the polynomial and looking for a relative maximum. We graph the equation found in a) by means of a graphic tool. We present the outcome in the image attached below. According to this, a side length of 0.653 inches leads to the maximum volume of the box: 6.299 inches.

Answer:

y-axis

Step-by-step explanation:

It lies on the vertical y-axis