Kari and Samantha have determined that their water-balloon launcher works best when they launch the balloon at an angle within 3 degrees of 45 degrees. Which equation can be used to determine the minimum and maximum optimal angles of launch, and what is the minimum angle that is still optimal?

|x – 3| = 45; minimum angle: 42 degrees
|x – 3| = 45; minimum angle: 45 degrees
|x – 45| = 3; minimum angle: 42 degrees
|x – 45| = 3; minimum angle: 45 degrees

Answers

Answer 1

Answer: C |x – 45| = 3; minimum angle: 42 degrees

Step-by-step explanation:

Answer 2

The equation which can be used to determine the minimum and maximum optimal angles of launch and the minimum angle that is still optimal is |x – 45| = 3 and 42 degrees respectively.

What is an Angle?

This is formed when two straight lines meet at a common endpoint and are also formed during intersection of planes.

In this scenario we were told the angle is within 3 degrees of 45 degrees which means the minimum angle is 45 degrees - 3 degrees = 42 degrees with the equation used to determine the minimum and maximum being |x – 45| = 3 as the maximum angle and deviation has to be present in the equation.

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Related Questions

Draw a histogram for the intervals 2-4, 5-7, 8-10, and 11-13 using the following data: 11,3,13,4,2,2,13,3,6,4,6,11,4,13,7,3,3,3,10,2

A
B
C
D

Answers

are you in statistics because I took it and I'm good at it. pet me see if I can figure it out. give me a minute

©C a r n e g ie L e a r n in g 6.1 Picture Algebra • 3093. The members of a small town’s local arts council are selling raffle tickets. The art council decides that the top three raffle ticket sellers will share a portion of the profits. The second-place seller will receive twice as much as the third-place seller. The first-place seller will receive $20 more than second-place seller. How much will each of the top three sellers receive if the profit portion they will share is $200?

Answers

Answer:

1st - $92

2nd - $72

3ed - $36

Step-by-step explanation:

save 20 dollars for first place, because they are going to get that no matter what.

200 - 20 = 180

we'll need to divide 180 into 5 parts, one for 3ed place, two each for 1st and second.

180 / 5 = 36

3ed place gets $36

2nd gets twice that, $72

1st gets the same as 2nd +$20, so $92

to check our answer, add up all their profit and make sure it's 200 even.

Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary. ​

Answers

I don’t really understand I need more detail


What is an equation of the line that passes through the points (1, 2) and (2, -1)?

Answers

Answer: m = -3

............................

A water tower holds 26400 gallons of water. The water company can fill the tower at a rate of 20 gallons per minute,
How many hours would it take the water company to all the tower if it is completely empty?
o 22 hours
24 hours
220 hours
0 440 hours

Answers

Answer:

22 Hours

Step-by-step explanation:

26400/20 = 1320m

1320m = 22h

22 Hours

5+(×-2)=-8 need help with answer​

Answers

Answer:

x = -11

Step-by-step explanation:

5 + (x - 2) = -8

Subtract 5 from both sides.

x - 2 = -13

Add 2 to both sides.

x = -11

Solve for X. 8(x + 2) = 40 Simply your answer as much as possible. = x 6​

Answers

Answer:

x = 3

Step-by-step explanation:

8(x+2) = 40

8x + 16 = 40

8x = 24

x = 3

If 3t^2 and -4t are multiplied, the product
Is

Answers

Answer:

-36

bc my brain say write dis

Simplify the question 8(x+9)

Answers

Step-by-step explanation:

8(x + 9)

8x + 72 = 0

8x = -72

x = -72/8

x = -9

Answer:

Given : 8(x + 9)

Solution :

[tex]8(x + 9) = 0\\ [/tex]

Multiply 8 to both x and 9

[tex]8x + 72 = 0 \\ [/tex]

Now, Move 72 to RHS from LHS

[tex]8x = - 72 \\ [/tex]

[tex]x = \dfrac{ - 72}{8} \\ [/tex]

And the final ans we get is :

[tex]\boxed{x = - 9}[/tex]

Diego is selling raffle tickets for $1.75 per ticket. How many tickets would Diego need to sell to earn $140?

Answers

Answer:

Diego would need to sell 80 tickets.

Step-by-step explanation:

Divide 140 by 1.75 to get your answer. To double-check multiply 1.75 by 80, and you should get 140.

Answer:

Diego would sell 80 tickets.

Step-by-step explanation:

Diana invested $3000 in a savings account for 3 years. She earned $450 in interest over that time period. What interest rate did she earn? Use the formula I=Prt to find your answer, where I is interest, P is principal, r is rate and t is time. Enter your solution in decimal form rounded to the nearest hundredth. Fr example, if your solution is 12%, you would enter 0.12.

Answers

Answer:

0.05

Step-by-step explanation:

we are given the formula

I = Prt, where

I = interest earned = $450

P = Principal amount = $3000

t = time = 3 years

r = rate (we are asked to find this_

Simply substitute the known values into the equation

I = Prt

450 = 3000 x r x 3

450 = 9000r

r = 450/9000

r = 0.05

Answer:

0.05

Step-by-step explanation:

Using compatible numbers to estimate, which expression has a quotient of about 70?
O A. 3, 424 : 49
OB. 5,358 - 89
O C. 6,409 - 79
O D. 5,238 : 89

Answers

Answer:

A is the correct answer

Step-by-step explanation:

Hoped this helped :)

Answer: im positive its A me and my class did this at school

Step-by-step explanation:

PLEASE ANWSER RIGHT AND U WILL GET BRAINLIEST the fraction 5/4 is an example of an improper fraction a proper fraction or a mixed number ​

Answers

Answer:

It is a proper fraction

Step-by-step explanation:

The correct answer is improper

There are 35 boys in the sixth grade. The number of girls in the sixth grade is 42. Lonnie says that means the ratio of the number of boys in the sixth grade to the number of girls in the sixth grade is 5: 7. Is Lonnie correct?

Answers

lonnie is incorrect. this is because 7 x 7 equals 49 and not 42.

Model the unknown number situation by writing an algebraic expression.
the difference of a number and one hundred
n-100
100 - n
n + 100
100 +n

Answers

Answer:

number 1 or A i got it

Step-by-step explanation:

Answer: The answer you are looking for is A on edge

Step-by-step explanation: Pls Mark me Brainilist! I know that this is for sure Right!

Find 3 ratios that are equivalent to the given ratio. 6/9

Answers

Answer:

2:3

12:18

18:27

Step-by-step explanation:

Answer:

In order to get equivalent ratios, we can just multiply by a factor! Lets use the factors of 2, 3, 4.

So we have:

[tex]2 * \frac{6}{9}=\frac{2*6}{2*9}=\frac{12}{18}[/tex]

As well as:

[tex]3 * \frac{6}{9}=\frac{3*6}{3*9}=\frac{18}{27}[/tex]

And finally:

[tex]4 * \frac{6}{9}=\frac{4*6}{4*9}=\frac{24}{36}[/tex]

WHAT IS 12X124
PLEASE ANSWER ASAP FIRST TO ANSWER GETS BRAINLY

Answers

Answer:

1488 (✿◕‿◕✿)

Step-by-step explanation:

Answer:

1488

step-by-step explanation:

124

12 when multiplied equal 1488

Inductive Reasoning
Write the next two numbers in the pattern
400, 200, 100, 50, 25,

Answers

Answer:

12.5, 6.25

Step-by-step explanation:

The answer halfs every time

Answer:

Step-by-step explanation:

After 400 ,800,1600

Before 25,12.5,6.25

2. Describe the process used to solve an equation with variables on both sides.

Answers

Answer:

After simplifying, the first step in solving an equation with a variable on both sides is to Get The Variable On One Side. This is done by reversing the addition or subtraction of one of the terms with the variable. In other words, we must add to both sides or subtract from both sides one of the quantities that contains the variable. It is generally easier to add or to subtract the smaller quantity from the larger quantity, so we are working with positive coefficients, but either way works

NEED HELP ASAP PLEASE
Classify the quadrilateral.

Answers

kite..................

please help me ASAP :)

Answers

c.) 1/2³ i got it right on assignment

Sandra spent $32 for a purse and buys aCD for $15. Write an expression to represent this problem

Answers

Answer:

x - ($32 + $15); or x - $32 + $15

Step-by-step explanation:

Spending on the purse and a CD means less cash then the starting amount, x.

Answer:

$32+ $15=$47

Step-by-step explanation:

The width of a classroom is 4 meters less than the length, and the area is 192 m^2. If the length is x m, find an equation in x and hence, find the dimensions of the classroom.

Answers

Answer:

length-x

width-x-4

area-- length* width

192=X*(X-4)

x^2-4x-192=0

x^2-16x+12x-192=0

X(x-16)+12(x-16)=0

(x-16),(X+12)

X= 16 because X cannot be negative like (-12)

the dimensions of the classroom will be

length = 16

width = 12

I hope this will help everyone

PLS Answer these questions! I have a test!

Answers

Answer:

ZDM is not a name for the angle, 6 square units is the area, A the cylindar, 26 degrees

Step-by-step explanation:

Area of triangle is 1/2 base x height

116-90 = 26 degrees to angle ABC

116=29 degrees I just know

Juan needs to rent a car for his road trip to Savannah, GA. Juan asks his friends if he knows how much the car rental costs. Nadia says she paid $50 for a two-day car rental. Johanna says she paid $75 for a three-day rental, and Kristine paid $100 for a four-day rental.

Juan made the table below to help him visualize how much his car rental will cost.

Answers

Answer:

ok whats the question?

Step-by-step explanation:

i only see the explanation

What are the partial products of 73 × 8

Answers

The partial products of 73 x 8 is = 584

What is partial product?

The partial products algorithm allows students to multiply two long numbers fast and easily by breaking down a more challenging product into a series of simpler problems.

Steps to calculating the partial product for 73 x 8

(70 +3 ) * (8)

= 70 x 8  = 560 and ;

= 3 x 8 =  24

Step 2 - Add all the products together

560 + 24 = 584

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PLEASE HELP WORTH 40 POINTS! ANSWER QUICK PLEASEEE

(a) Does each triangle have the same change in x-values? Explain.
(b) Does each triangle have the same change in y-values? Explain.
(c) Does each triangle have the same ratio of change in y-values over change in x-values? Explain

Answers

Answer:

SPLEASE HELP WORTH 40 POINTS! ANSWER QUICK PLEASEEE

(a) Does each triangle have the same change in x-values? Explain.

(b) Does each triangle have the same change in y-values? Explain.

(c) Does each triangle have the same ratio of change in y-values over change in x-values? Explain

tep-by-step explanation:

Find the value of x in each of the following A)2x=10 B)3x=27

Answers

a) x=5
10divided by 2 is 5
b)x=9
27/3=9

Here are four logos.
Which two logos have more than one line of symmetry?

Answers

Answer:

A and C

Step-by-step explanation:

A and C

Thank you

The  logos have more than one line of symmetry are Option(c) and Option (1)

What is a line of symmetry?

A line of symmetry is a line that cuts a shape exactly in half. This means that if you were to fold the shape along the line, both halves would match exactly. Equally, if you were to place a mirror along the line, the shape would remain unchanged. A square has 4 lines of symmetry, as shown below.

According to the question

Logos have more than one line of symmetry

are option A and Option C

As in Option A if we cuts the shape exactly in half along lines marked in circle

There half will be same

so , there are 3 lines of symmetry in option A.

Now, In option 4

if we cuts the shape exactly in half along the middle of  horizonal and vertical side of square figure

There half will be same

So , there are 2 lines of symmetry in option C.

Hence, The  logos have more than one line of symmetry are Option(c) and Option (1) .

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County day scholarship fund receives a gift of $130,000 the money is invested in stocks, bonds and CDs. CDs pay 2% interest, bonds pay 2.9% interest, and stocks pay 9.9% interest. country day invests $25000 more in bonds than in CDs. if the annual income from the investment is $8885, how much was invested in each vehicle?

country day invested $______ in stocks.
country day invested $______ in bonds.
country day invested $______ in CDs.

Answers

Answer:

$15,000 was invested in CDs.

$40,000 was invested in bonds.

$75,000 was invested in stocks.

Step-by-step explanation:

Let C be the amount invested for CDs, B be the amount invested for bonds, and S be the amount invested for stocks.

We know that the total amount invested must be $130,000 because that was the amount given to the Scholarship Fund. So:

[tex]C+B+S=130000[/tex]

We know that CDs pay 2% or 0.02 interest; Bonds pay 2.9% or 0.029 interest; and Stocks pay 9.9% or 0.099 interest. In total, the investment earned $8,885. So:

[tex]0.02C+0.029B+0.099S=8885[/tex]

Let's remove the decimals by multiplying everything by 1000. This yields:

[tex]20C+29B+99S=8885000[/tex]

Now, we know that $25000 more was invested in bonds than CDs. So:

[tex]B=25000+C[/tex]

We have a triple system of equations. We can solve this using substitution. Let's substitute our third equation into the second equation. This yields:

[tex]20C+29(25000+C)+99S=8885000[/tex]

We want to isolate the C variable. Here, we removed the B but we still have an S.

So, to remove the S, we can go back to our first equation. We have:

[tex]C+B+S=13000[/tex]

Subtract C and B from both sides:

[tex]S=130000-C-B[/tex]

We can now substitute this for S:

[tex]20C+29(25000+C)+99(130000-C-B)=8885000[/tex]

We got a B again. But, we already know what B is. Substitute:

[tex]20C+29(25000+C)+99(130000-C-((25000)+C))=8885000[/tex]

So, our equation is now in terms of C. Solve for C. Distribute on the far right:

[tex]20C+29(25000+C)+99(130000-C-25000-C)=8885000[/tex]

Combine like terms:

[tex]20C+29(25000+C)+99(105000-2C)=8885000[/tex]

Distributive Property:

[tex]20C+725000+29C+10395000-198C=8885000[/tex]

Combine like terms:

[tex](20C+29C-198C)+(725000+10395000)=8885000[/tex]

Add:

[tex]-149C+11120000=8885000[/tex]

Subtract 1112000 from both sides:

[tex]-149C=-2235000[/tex]

Divide both sides by -149:

[tex]C=15000[/tex]

So, a total of $15,000 was invested in CDs.

Since $25,000 more was invested in bonds than in CDs, this means that a total of $25000+$15000 or $40,000 was invested in bonds.

To find out how much was invested in stocks, we can use our first equation again:

[tex]C+B+S=130000[/tex]

Substitute 15000 for C and 40000 for B:

[tex]15000+40000+S=130000[/tex]

Add:

[tex]55000+S=130000[/tex]

Subtract 55000 from both sides:

[tex]S=\$75000[/tex]

So, $15,000 was invested in CDs, $40,000 was invested in bonds, and $75,000 was invested in stocks.

And we're done!

Answer:

$15,000 was invested in CDs.

$40,000 was invested in bonds.

$75,000 was invested in stocks.

Step-by-step explanation:

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