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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^+272x+110

Answer: 53 degrees

Step-by-step explanation:

Complementary angles add up to 90 degrees. Subtract Za from the 90. 90-37=53.

Answer:

A

Step-by-step explanation:

see attached .

hope it's helps .

Answer: 110 horses

Step-by-step explanation:

Given

An average adult horse needs two fifth bale of hay

The farm has 44 bales of hay

Suppose n horses can be fed by the available bales of hay

So, we can  write

[tex]\Rightarrow n\times \dfrac{2}{5}=44\\\\\Rightarrow n=\dfrac{44\times 5}{2}=110\ \text{horses}[/tex]

Answer:

8) 22

9) cos 33°

10) 55

Step-by-step explanation:

[tex]8) \: \: \: \tan(x) = \frac{6}{15} \\ x = \tan^{ - 1} ( \frac{6}{15} ) \\ x = 21.8 \\ x = 22 \\ \\ \\ 9) \: \: \: \: \: \sin(57) = 0.83867.... \\ \cos(33) = 0.83867.... \\ \\ \\ 10) \: \: \: \cos(35) = 0.8192..... \\ \sin(55) = 0.8192.... \\ so \: \: \: z = 55[/tex]

I hope that is useful for you :)

Answer:

45.36 square inches

Step-by-step explanation:

Given the following

Surface area of a triangular prism  = 18 square inches

If it is enlarged by a scale factor of 2.52, the area of the enlarged solid is expressed as;

Area of enlarged solid = area of original sold * scale factor

Area of enlarged solid = 18 * 2.52

Area of enlarged solid = 45.36 square inches

hence the surface area of a similar solid that has been enlarged by a scale factor of 2.52 is 45.36 square inches

Answer:45.36 square inches

Step-by-step explanation:

Answer:

Smaller sample gives worse data. More samples give better data.

Step-by-step explanation:

A sample is the number of elements that are used in a given experiment.

For example, if you do a survey to 100 random people, then your sample is 100 people.

Here we can see something kinda obvious, if you increase your sample, then more people answer your survey, wich means that more samples give more data, and more data is better, then more sample gives better data.

We also can see that if we have a small sample (for example 10 people) the survey will not be really useful, this happens because if we have really small samples the sample may be biased, and we always want to aboid this.

Then:

Smaller samples give worse data, and as we increase the samples, we also get better data.

The correct option is:

"Smaller sample gives worse data. More samples give better data."

Answer:

Lower and upper quartiles(B)

Step-by-step explanation:

Answer:

5x = 15?

Step-by-step explanation:

Answer:

3/20

Step-by-step explanation:

Fabric left over = total fabric purchased - total fabric used to make a tote bag

total fabric used to make a tote bag = [tex]4\frac{2}{8}[/tex] × [tex]\frac{1}{5}[/tex] =

[tex]\frac{34}{8}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{34}{40}[/tex]

fabric left over = 1 - 34/40

40 / 40 - 34/40  = 6 /40

To transform to the simplest form. divide both the numerator and the denominator by 2

3/20

Given:

The graph of a trend line.

To find:

The equation of the trend line is slope intercept form.

Solution:

From the given graph it is clear that the equation of the trend line is passes through the points (0,25) and (5,50).

Slope of the line is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{50-25}{5-0}[/tex]

[tex]m=\dfrac{25}{5}[/tex]

[tex]m=5[/tex]

The line passes through the point (0,25). So, the y-intercept of the line is 25.

Slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

The slope intercept from of the line is:

[tex]y=(5)x+(25)[/tex]

[tex]y=5x+25[/tex]

Therefore, the equation for the trend line in slope -intercept form is [tex]y=5x+25[/tex].

Answer:

28¢

Step-by-step explanation:

A quarter is 25¢, so 53¢ - 25¢ = 28¢.

Answer: 4 + 2w

Step-by-step explanation:

The height of the tomato plant in inches after w weeks will be the value of the current height plus the weekly growth pee week. This can be represented in an equation as:

h = 4 + 2(w)

h = 4 + 2w

For example, the height of the tomato plant in inches after 5 weeks will be:

h = 4 + 2w

h = 4 + 2(5)

h = 4 + 10

h = 14 inches

Answer:

1/4

Step-by-step explanation:

Favorable Outcomes/ All Possible Outcomes= 2/8

2/8= 1/4

The answer is 1/4.

Answer:

1/18

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Answer:

Blue

Step-by-step explanation:

Answer:

multiply 6 on both sides

Step-by-step explanation:

you multiply 6 on both sides to get x by its self so your answer in total would be 21

Answer:

Volume of given figure = 113.12 cm²

Step-by-step explanation:

Given:

Radius of cylinder = 4/2 = 2cm

Radius of cone = 4/2 = 2 cm

Height of cylinder = 7 cm

Height of cone = 6 cm

Find:

Volume of given figure

Computation:

Volume of given figure = Volume of cylinder + Volume of cone

Volume of given figure = πr²h + (1/3)πr²h

Volume of given figure = (22/7)(2)²(7) + (1/3)(22/7)(2)²(6)

Volume of given figure = (22/7)(4)(7) + (1/3)(22/7)(4)(6)

Volume of given figure = (22)(4) + (22/7)(4)(2)

Volume of given figure = 88 + 25.14

Volume of given figure = 113.12 cm²

median= 7 middle part

range=7 because 8-1 or highest minus lowest numbers

mode= you got the answer

Answer:

subtraction property for sure its that

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Each of the green lines has 3 times the length of the corresponding blue line.  Thus the dilution factor is 3.

Answer:

Step-by-step explanation:the answer will be 100

Answer:

Step-by-step explanation:

.......

Answer:

The expression will be : (x+9) /2

An algebraic expression is an expression built up from integer constants , variables , and the algebraic operations.

Let us take the number to be : x

Now, ( half of the sum of 9 and a number ) will be : (x+9)/2

Dividing x and 9 with 2 we get,

the second expression which is different but equivalent to first will be :

=0.5 x + 4.5

Learn more about algebraic expression :

https://brainly.com/question/953809?referrer=searchResults

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Answer:

5a(a + 2)

Step-by-step explanation:

Given

(3a + 1)² - 4a² + 4a - 1 ← expand factor using FOIL

= 9a² + 6a + 1 - 4a² + 4a - 1 ← collect like terms

= 5a² + 10a ← factor out 5a from each term

= 5a(a + 2)

Get 180, then subtract every angle you see in the diagram and you'll get your answer.

Answer:

A. Y ≤ 4.

Step-by-step explanation:

This  opens downwards and has a maximum  at f(x) = 4.

Answer:

C. 48°

Step-by-step explanation:

Complete question :

There is 1/3 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.

Answer:

1 /9

Step-by-step explanation:

Capacity of container = 3 gallons

Amount of gallons in container = 1/3 gallon.

Fraction of water in container:

Division equation :

Amount of gallon in container / capacity of container

1 /3 ÷ 3 = 1/ 9

Multiplication equation :

1/3 of 1 gallon

Capacity of container = 3 gallons

1/ 3 * inverse of 3

1/3 * 1/3 = 1/9

Step-by-step explanation:

here

Answer:

1.) 2.5cm

2.) 1 3/4

3.) 1.6

4.) 4/5

5.) 18.84

Step-by-step explanation:

So the radius is half of the diameter, so the first one would be:

5 ÷ 2 = 2.5

We do the same thing for the next one:

3 1/2 ÷ 2 = 1 3/4

Now we have to go backwards because we have the radius and we're trying to find the diameter:

0.8 x 2 = 1.6

And the next one:

3/5 x 2 = 4/5

Now to find the circumference, we multiply the diameter by pi (3.14)

6 x 3.14 = 18.84

let me know if any of these are wrong

hope this helps:)

Answer:

Step-by-step explanation:

 it's 125 for the radius and also 125-62 = 63

so 125+63 = 188

188 * 62 = X^2

11656 = X^2

107.96 = x

108.0  = x  ( to the nearest tenth )

The perpendicular distance x from the end of the passage to either side of the mound is : 107.93 feets

Diameter = 250

To obtain the perpendicular distance, x :

We use the relation : x × x = Length to either side of mound :

Mathematically ;

x × x = 62 ft × (250 - 62)

x² = 62 × 188

x² = 11656 ft²

Take the square root of both sides ;

x = √11656

x = 107.9629 ft

Hence, the perpendicular distance x from the end of the passage to either side of the mound is : 107.93 feets

Learn more : https://brainly.com/question/9175503