Find the area of composite figure

Answer:

a. 22.3°

b. 2940.16 ft/s

Step-by-step explanation:

Here is the complete question

A projectile fired into the first quadrant from the origin of a coordinate system will pass through the point (x, y) at the relationship cot theta = 2x/2y + gt^2 where theta is the angle of elevation of the launcher and g is the acceleration due to gravity (32.2 feet/second^2). An artillery man is firing at an enemy barker located 2275 feet up the side of a hill that is 6325 feet away. He fires a round, and exactly 2.84 seconds later he scores a direct hit.

a. What angle of elevation did he use? theta = degree (Do not round until the final answer. Then round to one decimal place as needed.)

b. f the angle of elevation is also given by sec theta = v_0 t/x, where v_0 is the velocity of the weapon, find the muzzle velocity of the artillery piece he used. v_0 = feet/second (Round to two decimal places as needed.)

Solution

(a) What angle of elevation did he use?

Given that cosθ = 2x/(2y + gt²) where x = horizontal distance of projectile = 6175 feet away,y = vertical distance of projectile = 2450 feet up, g = acceleration due to gravity = 32 ft/s² and t = time of hit = 2.27 s

So, cosθ = 2x/(2y + gt²)

cotθ = 2 × 6175 ft/(2 × 2450 ft + 32 ft/s² × (2.27 s)²)

cotθ = 12350 ft/(4900 ft + 32 ft/s² × 5.1529 s²)

cotθ = 12350 ft/(4900 ft + 164.8928 ft)

cotθ = 12350 ft/(5064.8928 ft)

1/tanθ = 2.4384

tanθ = 1/2.4384

tanθ = 0.4101

θ = tan⁻¹(0.4101)

θ = 22.3°

(b) If the angle of elevation is also given by sec θ = υ0t/x. where υ0 is the muzzle velocity of the weapon, find the muzzle velocity of the artillery piece he used.

Making u0 subject of the formula, we have

u0 = xsecθ/t

u0 = x/tcosθ

since x = 6175ft, t = 2.27 s and θ = 22.3°, then

u0 = x/tcosθ

u0 = 6175 ft/(2.27 s × cos22.3°)

u0 = 6175 ft/(2.27 s × 0.9252)

u0 = 6175 ft/(2.1 s)

u0 = 2940.16 ft/s

Answer:

the diameter is 7

Answer:

X° is A=D116°

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

I did this and got it right and I solved it

8×3 equal 24/1 so make it to a whole number 24

Answer:

If in the ones place of a number contains digits like 0,2,4,6 or 8 then we can say that the number is divisible by 2.

Answer:

22 in. or B

Step-by-step explanation:

add all the sides

Answer:

The Answer would be B)22 in.

Step-by-step explanation:

if you add the sides together then multiply by 2 you will get 22 in. I hope this helpped!

Answer:

656×756÷765+656+65=

Step-by-step explanation:

it was soo easy now i get what it is talking about no

Answer:

yes this option is correct

Answer:

d. 128

Step-by-step explanation:

a. 0

b. 4

c. 64

d. 128

Answer:

x = 25

Step-by-step explanation:

In the image shown you have correctly identified the angles as vertical. Vertical angles are equal. This means that the angle "4x - 25" is the same as the angle "75". we can write this as:

4x - 25 = 75

Add 25 to both sides

4x = 100

This means that 4 x's will make one hundred. If you divide 100 by four you get four equal parts that make 100. Divide both sides by 4.

x = 25

Answer:

4488ft^3

Step-by-step explanation:

Given data

Dimension of the hole

Length= 5ft

Width= 3ft

Height= 15ft

Volume of Hole=L*W*H

Volume of Hole= 5*3*15

Volume of Hole= 225ft^2

Volume of cylinder

Radius= 10ft

Height = 15ft

Volume of cylinder= πr^2h

Volume of cylinder= 3.142*10^2*15

Volume of cylinder= 3.142*100*15

Volume of cylinder= 4713ft^3

Hence the volume of the shape is

Volume of shape= Volume of cylinder- Volume of hole

Volume of shape= 4713-  225

Volume of shape= 4488ft^3

Answer:

I think the answer it b and a

Answer:

2/7

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

0.9929 = 99.29% probability that the carbon fiber composite material can withstand pressure less than 2.45 standard deviations above the mean when compared to the individual materials

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.

What is the probability that the carbon fiber composite material can withstand pressure less than 2.45 standard deviations above the mean when compared to the individual materials?

2.45 standard deviations above the mean is Z = 2.45, so this probability is the p-value of Z = 2.45.

Looking at the z-table, Z = 2.45 has a p-value of 0.9929.

0.9929 = 99.29% probability that the carbon fiber composite material can withstand pressure less than 2.45 standard deviations above the mean when compared to the individual materials

Answer:

h^9

Step-by-step explanation:

When divided you subtract exponents 14-5=9

The expression using a single exponent is (d) h^9

From the question, we have the following parameters that can be used in our computation:

h^14 over h^5

This means that

h^14/h^5

Apply the law of indices

So, we have

h^14/h^5 = h^(14 - 5)

This gives

h^14/h^5 = h^9

Hence, the solution is (d) h^9

Read more about expressions at

https://brainly.com/question/30492964

#SPJ6

Answer:

Hence, the probability of a successful site is :

[tex]P(\text{succes sites})=\frac{8}{9}=89\%[/tex]

Step-by-step explanation:

Given :

[tex]7[/tex] of the [tex]14,XYZ[/tex] sites have had [tex]95\%[/tex] or higher widget production success rate in the last month

To find :

The probability that a successful site will be selected.

We can select  either of [tex]8[/tex] sites out of [tex]9[/tex].

These [tex]8[/tex] sites can be selected in [tex]8[/tex] ways.

Total sites[tex]=9[/tex]

Therefore, the probability of a successful site is :

[tex]P(\text{succes sites})=\frac{8}{9}=89\%[/tex]

Answer:

No, a 25-year-old job applicant cannot be two standard deviations below the mean

Step-by-step explanation:

There are two frequencies 25 and 65

Mean of the two frequencies = 25+65/2 = 45

Standard deviation =

[tex]\frac{65-25}{\sqrt{12} } \\= 11.55[/tex]

Mean - 2 x standard deviation [tex]= 45 - 2 * 11.55 = 21.9[/tex]

[tex]21.9 < 25[/tex]

Thus, a 25-year-old job applicant cannot be two standard deviations below the mean

Answer:

15m^2

Step-by-step explanation:

2m*3m = 6m^2

3m*3m = 9m^2

Answer: 6m^2 + 9m^2 = 15m^2

Feel free to mark as brainliest :D

Answer:

2.8 liters

Step-by-step explanation:

6 - 3.20 = 2.8

Answer:

2 4/5

Step-by-step explanation:

6-3 1/5 = 2 4/5

Answer:

Slope is m= 2

Y-interept is (0, 6)

Step-by-step explanation:

y = 2x +6

Equating it with

y = mx + b

We find

m = 2

b = 6

Therefore,

Slope is m= 2

Y-interept is (0, 6)

Answer:

slope is m=2

y intercept is (0,6)

Step-by-step explanation:

Answer:

The answer is "[tex]28^{\circ}[/tex]"

Step-by-step explanation:

Please find the complete question in the file.  

The angle F measure is identical to the angle C measure.

The adjacent BC and the hypotenuse AC have been developed. That would be used cosine.

[tex]\cos C = \frac{15}{17}\\\\C =\ cos^{-1}\frac{15}{17} = 28.07\approx 28^{\circ}[/tex]

Answer:

j < 20

19

Step-by-step explanation:

60 > 3j

Divide both sides by 3

20 > j

Flip

j < 20

greatest whole-dollar amount Joyce could have earned?

19

Answer:

Sam ran 8.1 km

6.8 + 2.3= 8.1

Answer:

A. You know the difference in the distances the boys ran, so this is a subtraction problem.

E. The correct equation is s – 2.3 = 6.8.

The answers are a and e

Answer:

The Rule of 72 is a simplified formula that calculates how long it'll take for an investment to double in value, based on its rate of return. The Rule of 72 applies to compounded interest rates and is reasonably accurate for interest rates that fall in the range of 6% and 10%.

Answer:

90

Step-by-step explanation:

72 is the least and 90 is the greatest

87 is the second most greatest and 83 is the third most.

Therefore the answer is 90

Answer:

100

Step-by-step explanation:

Answer:

Sample means and the grand mean

Step-by-step explanation:

The total sum of squares present in the sample can be partitioned into two parts.

1) Within sum of squares ( also called error sum of squares)

2) Between sum of squares

The first part is the sum of squares of deviations of the observations from the sample mean and is called the within sum of squares ( also called error sum of squares).

The second part is the weighted sum of the square of deviations of the sample means from the grand mean and is called between sum of squares.

Thus symbolically

Totastal SS = Within SS + Between SS

Answer:

the mean of those numbers is 17.1

Answer:

The M.A.D (mean absolute deviation) is 2.3

Bonus (Just in case you need it): The Mean is 17.1

Have a good day!