Mathematics High School

During the National Football League’s 1999 season, Troy Aikman, the quarterback for the Dallas Cowboys, earned $0.467 million more than Deion Sanders, the Cowboys cornerback. Together they cost the Cowboys $12.867 million. How much did each player make?

Answers

Answer 1

12,867,000 - 467000 / 2. Thats how you get your answer. The answer is 6200000.

Answer 2

Troy Aikman make 6667000 and Deion Sanders makes 6200000 for the Cowboys cornerback.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

Troy Aikman, the quarterback for the Dallas Cowboys, earned $0.467 million more than Deion Sanders

Let Deion Sanders earning is x.

Troy Aikman earning is x+467000

Together they cost the Cowboys $12.867 million

x+x+467000=12867000

2x+467000=12867000

Subtract 467000 on both sides

2x=12867000-467000

2x=12400000

Divide both sides by 2

x=6200000

So Troy Aikman make 6200000+467000=6667000 and

Deion Sanders makes 6200000

Hence Troy Aikman make 6667000 and Deion Sanders makes 6200000 for the Cowboys cornerback.

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Related Questions

i need work shown write .569 as a percent

Answers

To write .569 as a percent you have to remember that 1 equals 100% and what you need to do is just to multiply the number by 100 and add at the end symbol %
therefore the answer is .568 * 100 =56.9%
.569as a percent equals 56.9%

(only subject im bad at) What is the Least Common Denominator (LCD) of 7/8 and 1/6 ?

Answers

24 because 8 times 3 is 24 and 6 times 4 is 24. It is the smallest number both can be multiplied by a number to get 24.

alice leaves her house and walks to school she walks 45 meters south and 336 meters east. how far is Alice from her house?

Answers

What i did is used Pythagorean theorem and did A2+B2=C2

so 336squared+45squared=Csquared

112896+2025=114921
C=114921
the square root of C=339
so diagonally from her house to the point of 45south and 336east is 339meters

Alice's distance from her home is 339 meters.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that Alice leaves her house and walks to school she walks 45 meters south and 336 meters east.

We can write the Alice's distance from her home as -

{x} = √(45)² + (336)²

{x} = √(2025 + 112896)

{x} = 339 meters

Therefore, Alice's distance from her home is 339 meters.

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Express x in terms of the other variables in the diagram below:

Answers

From the diagram below , x = t ( r - h ) / h

Further explanation

Firstly , let us learn about trigonometry in mathematics.

Suppose the ΔABC is a right triangle and ∠A is 90°.

sin ∠A = opposite / hypotenusecos ∠A = adjacent / hypotenusetan ∠A = opposite / adjacent

There are several trigonometric identities that need to be recalled, i.e.

[tex]cosec ~ A = \frac{1}{sin ~ A}[/tex]

[tex]sec ~ A = \frac{1}{cos ~ A}[/tex]

[tex]cot ~ A = \frac{1}{tan ~ A}[/tex]

[tex]tan ~ A = \frac{sin ~ A}{cos ~ A}[/tex]

Let us now tackle the problem!

Look at ΔADE in the attachment.

We will use the following formula to find relationship between variable t and h:

tan ∠A = opposite / adjacent

[tex]\tan \angle A = \frac{DE}{AD}[/tex]

[tex]\large {\boxed{ \tan \angle A = \frac{h}{t} } }[/tex] → Equation 1

Look at ΔABC in the attachment.

We will use the following formula to find relationship between variable r , t and x:

tan ∠A = opposite / adjacent

[tex]\tan \angle A = \frac{BC}{AB}[/tex]

[tex]\large {\boxed{ \tan \angle A = \frac{r}{x + t} } }[/tex] → Equation 2

Next we can substitute equation 1 to equation 2 :

[tex]\tan \angle A = \frac{r}{x+t}[/tex]

[tex]\frac{h}{t} = \frac{r}{x+t}[/tex]

[tex](x + t)h = r ~ t[/tex]

[tex](x + t) = \frac{(r ~ t)}{h}[/tex]

[tex]x = \frac{(r ~ t)}{h} - t[/tex]

[tex]x = \frac{(r ~ t)}{h} - \frac{(h ~ t)}{h}[/tex]

[tex]\large {\boxed {x = \frac{t(r - h)}{h}} }[/tex]

Learn moreCalculate Angle in Triangle : https://brainly.com/question/12438587Periodic Functions and Trigonometry : https://brainly.com/question/9718382Trigonometry Formula : https://brainly.com/question/12668178

Answer details

Grade: College

Subject: Mathematics

Chapter: Trigonometry

Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse , Triangle , Fraction , Lowest , Function , Angle

The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation f(x) = –0.3x2 + 2x, where f(x) is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet.

When the water was 4 feet from the end of the hose, what was its height above the ground?

Answers

find f(4)
f(4)=-0.3(4^2)+2(4)
f(4)=-0.3(16)+8
f(4)=-4.8+8
f(4)=3.2

3.2ft above the ground

Answer:

3.2 feet

Step-by-step explanation:

The equation [tex]f(x)=-0.3x^{2}+2x[/tex] shows the height of water [[tex]f(x)[/tex]] and horizontal distance [[tex]x[/tex]].

Given the horizontal distance is 4 feet, they want to know the height.

Simply put 4 in [tex]x[/tex] of the equation and solve for [tex]f(x)[/tex]. So,

[tex]f(x)=-0.3(4)^{2}+2(4)\\f(x)=3.2[/tex]

So, the height of the water was 3.2 feet above the ground.

sin^2(75)-cos^2(75)=?

Answers

There are 2 ways of solving this:
1: puting numbers in calculator and get answer
2: try to simplify this and than calculate.

We will do second way.

there is trigonometric formula: cos2α = cos^2(α) - sin^2(α)

if we take "-" in front of our expression:
-(cos^2(75) - sin^2(75)) = -cos(2*75) = -cos(150) = -√3/2

answer is -√3/2

in DEF DE=17 m angle =32 Find DF nearest tenth

Answers

Since we are asked to find DF, and we are given an angle and the side opposite to it, we can use the sine function to find DF.
let x be the length of side DF.

sin(32)= 17/x
x= 17 / sin(32)
x= 32.08

approximately 32.1

Answer:

(A) 32.1

Step-by-step explanation:

It is given that in ΔDEF, DE=17 and m∠F=32, thus

Using the trigonometry, we have

[tex]sinx=\frac{Perpendicular}{Hypotenuse}=\frac{DE}{DF}[/tex]

⇒[tex]sin32^{\circ}=\frac{17}{DF}[/tex]

⇒[tex]DF=\frac{17}{sin32^{\circ}}[/tex]

⇒[tex]DF=\frac{17}{0.529}[/tex]

⇒[tex]DF=32.1[/tex]

Therefore, the value of DF is 32.1.

Hence option A is correct.

Find the equation of a circle in standard form where C(6, -2) and D(-4, 4) are endpoints of a diameter. ...?

Answers

The equation of a circle is in the form:
x² + y² = r²; where r is the radius.
We find the diameter using the distance formula:
D = √[(-4 - 6)² + (4 + 2)²]
D = 2√(34)
r = D/2 = √(34)

x² + y² = [√(34)]²
x² + y² = 34

The measures of each exterior angle in a regular hexagon is (4x + 15)°. Find the value of x. Show equations and all work that leads to your answer.

...?

Answers

Sum of exterior angle of a polygon is 360°
A regular hexagon has 6 equal exterior angles.
6(4x + 15) = 360
4x + 15 = 360/6 = 60
4x = 60 - 15 = 45
x = 45/4 = 11.25
x = 11.25

a rectangeler field is twice as long as it is wide a golf cart travrling at 12 miles per hour takes 7.5 minutes to travel the perimeter of the field what is the length (in miles) of the field

Answers

25 meters of 34 feet in the air of the miles so its 27 miles

Harry’s team has won 13 less than 6 times as many games as it has lost. The team lost n games. What expression could you use to find the number of games the team has won?

Answers

Number of games won = 6n - 13

A heart beats 8 times in 3 seconds.About how many times will a cats heart beat in 2 minutes

Answers

first figure out how many 3 seconds are in 1 minute = 20 then double = 40
then mulitpity 40x8= 240
the answer is 240 beats in 2 minutes

My math homwork is asking me for the word form and the expanded form for 3.4 and 2.51,and i don't understand this. we just started it today and she my teacher gave us 3 pages of the math.

Answers

3.4:
the word form would be three and four tenths
the expanded form would be :
3.0 = 3
0.4 = .4
2.51:
the word form would be two and fifty one hundredths
the expanded form would be 2.00 + 0.50 + 0.01

hope this helps you

If i drove 34 times over a 7 mile bridge. how many miles in all did i drive?

Answers

7 * 34 =
Miles times amount =
238 miles in total.

Hope this helped!

To figure out this answer, you need to multiply 34 by seven. This results in 238 miles in all. I hope this helps! :)

if you drive your car constant speed of 45 miles per hour, how long will it take to travel 378 miles

Answers

distance=speeed times time
distance/speed=time
given
distance=378
sped=45mph

d/s=t
378/45=t
8.4=t
8.4 hours or 8 hours and 24 minutes

In the triangle below, determine the value of a.

Answers

51sin(47) because 51 is the hypotenuse and a is the opposite so we use sine because sine=opp/hypotenuse therefore sin(47)=a/51 then rearrange the formula to make a the subject the final answer is 37.3 to the nearest 3 significant figures

What is the length of segment LM?

Answers

I hope this helps you

Answer:

Step-by-step explanation:

From the given figure, we have

[tex]KN=NM[/tex]

⇒[tex]14x-3=25[/tex]

⇒[tex]14x=28[/tex]

⇒[tex]x=2[/tex]

Also, a is the angle bisector of ∠KNM and also it bisects the side KM such that KL=LM, thus

[tex]KL=LM[/tex]

Also, [tex]KL=9x+5[/tex]

Substituting the value of x in the above equation, we get

[tex]KL=9(2)+5[/tex]

[tex]KL=18+5[/tex]

[tex]KL=23[/tex]

Therefore, [tex]KL=LM[/tex]

[tex]LM=23[/tex]

Thus, the value of the segment LM is 23.

How is the graph of Y=√X) -5 translated from the graph of √X ?

shifted 5 units right

shifted 5 units down

shifted 5 units left

shifted 5 units up

Answers

Shifted 5 units to the left.

2 1/7 into a improper fraction

Answers

it would be (2 x 7) + 1

as an improper fraction it would be 15/7

hope this helps you

It's is 15/7.
2x7=14
14+1=15
The. Put that over the original denominator

Consider the equation v + 4 + v = 8. What is the resulting equation after the first step in the solution?

a. v +4 = 8 – v
b. v +4 = 8
c. 4 + v = 8 – v
d. 2v + 4 = 8

Answers

The first step is to group like terms on each side of the equation. This would give you (v + v) + 4 = 8. There is no point in writing v + v as such, so 2v + 4 = 8 would be better. This is equation d.

d. 2v + 4 = 8.

Answer:

The resulting equation after the first step is 2v+4=8

d is the correct option

Step-by-step explanation:

We have been given the equation v + 4 + v = 8. In order to solve it for v, we'' perform the below mentioned steps.

Add the like terms in the left hand sideSubtract 4 to both sides of the equationFinally divide both sides by 2

Hence, in the first step, we can group the like terms and combine. In the left hand side v and v are like terms and hence, we can add them

On adding v and v we get 2v

Thus, we have

[tex]v+v+4=8\\2v+4=8[/tex]

Thus, the resulting equation after the first step is 2v+4=8

heeeelp!

Line segments with the same length are said to be __________.

Answers

parallels!!!!!!!!!!!!!!

in the decimal number .98703, the 0 holds what place value

Answers

Answer:

it is in the 10 thousansth place.

Step-by-step explanation:

.98703

9=10nth place

8=100th place

7=thousandth place

0=ten thousandth place

3=hundred thousandth place

I hope this helps.

The following is a correspondence one is
A.{(a,1),(b,1),(c,1)}
B.{(1,a),(2,c),(3,d)
C.{(1,b),(2,c),(3,b)
D.{(a,b),(c,d),(b,d)

Answers

I'm assuming you meant to say "one-to-one"

If so, then the answer would be choice B.{(1,a),(2,c),(3,d)

This is because each input leads to a different output and the outputs are different all across the board. In the other choices, the outputs repeat themselves at least twice which means they are not one-to-one functions.

For spring break this year your family decided to visit Michigan, but it snows the first weekend you are there. You decide to make a snowman. If the bottom ball is 3 feet across, the middle ball is 2 feet across, and the top is 1 foot across, how much snow is needed to build the whole snowman? Round your answer to the nearest cubic foot.
A)
19 cubic feet of snow
B)
31 cubic feet of snow
C)
511 cubic feet of snow
D)
1022 cubic feet of snow ...?

Answers

Answer:

Step-by-step explanation:

Final answer:

To find the amount of snow needed to build the snowman, we need to calculate the volume of each ball and then add them together. The total volume is 18.84 cubic feet, rounded to 19 cubic feet.So,Option A.19 cubic feet of snow is correct.

Explanation:

To find how much snow is needed to build the whole snowman, we need to calculate the volume of each ball and then add them together. The volume of a sphere can be found using the formula V = (4/3) * pi * r³, where r is the radius of the sphere.

The bottom ball has a diameter of 3 feet, so the radius is 3/2 = 1.5 feet. The volume of the bottom ball is (4/3) * 3.14 * (1.5³) = 14.13 cubic feet.

The middle ball has a diameter of 2 feet, so the radius is 2/2 = 1 foot. The volume of the middle ball is (4/3) * 3.14 * (1³) = 4.19 cubic feet.

The top ball has a diameter of 1 foot, so the radius is 1/2 = 0.5 feet. The volume of the top ball is (4/3) * 3.14 * (0.5³) = 0.52 cubic feet.

The total volume of the snowman is 14.13 + 4.19 + 0.52 = 18.84 cubic feet. Therefore, the answer is 19 cubic feet of snow.

can someone explain how to find two positive numbers such that their product is 192 and the sum of the first plus three times the second is a minimum?

Answers

Let the two numbers be y and x, then
xy = 192
y = 192/x
dy/dx = -192/x^-2 . . . (1)

Sum (S) = y + 3x
If the sum is minimum, then
dS/dx = dy/dx + 3 = 0
dy/dx = -3

From (1), -192/x^2 = -3
3x^2 = 192
x^2 = 192/3 = 64
x = sqrt(64) = 8
y = 192/8 = 24

The two positive numbers are 8 and 24.

Solve the problem. Susan purchased some municipal bonds yielding 7% annually and some certificates of deposit yielding 9% annually. If Susan's investment amounts to $19,000 and the annual income is $1590, how much money is invested in bonds and how much is invested in certificates of deposit? a. $13,500 in bonds; $5500 in certificates of deposit b. $5500 in bonds; $13,500 in certificates of deposit c. $13,000 in bonds; $6000 in certificates of deposit d. $6000 in bonds; $13,000 in certificates of deposit
...?

Answers

Final answer:

Susan invested $6,000 in municipal bonds and $13,000 in certificates of deposit. For the bond investment scenario, given the increase in market interest rate to 9%, you would pay less than $10,000 for the bond. The calculation shows you would be willing to pay approximately $9,724.77.

Explanation:

To solve Susan's investment problem, we can set up a system of equations using the information provided in the problem. Let x be the amount invested in municipal bonds and y be the amount invested in certificates of deposit (CDs). We can then set up the following equations:

x + y = $19,000 (Total investment amount)

0.07x + 0.09y = $1,590 (Total annual income from investments)

Now, we solve the system of equations. Multiplying the second equation by 100 to get rid of decimals:

7x + 9y = 159,000

Next, we can multiply the first equation by 7 to help us eliminate one variable:

7x + 7y = 133,000

Subtracting the modified first equation from the second equation:

9y - 7y = 159,000 - 133,000

2y = 26,000

y = $13,000

Using y = $13,000 in the first equation:

x + 13,000 = 19,000

x = $6,000

Therefore, Susan invested $6,000 in municipal bonds and $13,000 in certificates of deposit.

Regarding the bond investment scenario:

a. Since the market interest rate has risen to 9%, higher than the bond's 6% interest rate, you would expect to pay less than $10,000 for the bond.

b. To calculate the price you would be willing to pay, you need to find the present value of the expected payment from the bond one year from now:

The expected payment is $10,000 (the face value) plus $600 (the final interest payment), which totals $10,600.

Using the market interest rate of 9%, the present value (PV) formula is:

PV = Payment / (1 + market interest rate)

PV = $10,600 / (1 + 0.09)

PV = $10,600 / 1.09

PV ≈ $9,724.77

Therefore, you would be willing to pay approximately $9,724.77 for the bond.

Write the equation of a line in slope-intercept form from the graph below.
Write the equation of a line in slope-intercept form from the graph below.

Answers

y=x

Slope of 1, y-intercept of (0,0)

y=1x+0...same as the initial answer

Answer: Y=x or y=1x

Step-by-step explanation:

Slope of 1 y-intercept of (0,0)

What is the product? enter your answer as a fraction, in simplified form, in the box. −1/4⋅(−6/11)?

Answers

(−1/4)⋅(−6/11)=(3/22)

yeah it would be 3/11 i just did the test

1000 millimeters equals what =

Answers

I don't know what you want 1000 milliliters to be equivalent to so ill give u a small list. Hope this helps.

1000 millimeters equals:
0.001 kilometers
1 meter
100 centimeters
1e+6 Micrometers
1e+9 Nanometers
0.000621371 Miles
1.09361 Yard
3.28084 Feet
39.3701 Inches
0.0005399570950324 Nautical Miles

What unit of measurement would Guatemalans typically use to measure the weight of flour?

Answers

In general, Guatemalans also use the metric system, but also some traditional units of measurement (that come from Spain) and influence from US English units. Among the Guatemalan units of measurement some are based on old Spanish units. The libra, arroba, quintal and garrafón units of weight and volume. Guatemalans use also measures like spoons and cups. Therefore, when they weigh the measure of flour, they are using either the ibra, arroba, quintal and garrafón units. Hope this helps.

Guatemalans use grams to measure the weight of flour.

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