Answer:
Height of the fighter plane =1.5km=1500 m
Speed of the fighter plane, v=720km/h=200 m/s
Let be the angle with the vertical so that the shell hits the plane. The situation is shown in the given figure.
Muzzle velocity of the gun, u=600 m/s
Time taken by the shell to hit the plane =t
Horizontal distance travelled by the shell =u
x
t
Distance travelled by the plane =vt
The shell hits the plane. Hence, these two distances must be equal.
u
x
t=vt
u Sin θ=v
Sin θ=v/u
=200/600=1/3=0.33
θ=Sin
−1
(0.33)=19.50
In order to avoid being hit by the shell, the pilot must fly the plane at an altitude (H) higher than the maximum height achieved by the shell for any angle of launch.
H
max
=u
2
sin
2
(90−θ)/2g=600
2
/(2×10)=16km
What is the length of segment TR?
Answer:
8 units
Step-by-step explanation:
A high school play is sold tickets to their performance and wanted to see how many tickets were adults (x) and how many were students (y). There were 50 more adult tickets sold compared to student tickets. Adult tickets were $5, student tickets were $2, and they collected a total of $950. Write 2 equations and solve this system.
Answer:
70
Step-by-step explanation:
The equation are x = y + 50 and 5x + 2y = 950
Firstly, let x represent the number of adult tickets sold and let y represent the number of student tickets sold.
Since there was 50 more adult tickets sold compared to student tickets, hence this statement can be represented by the equation:
x = y + 50 (1)
Also, they collected a total of $950. Each adult ticket was $5 while female ticket was $2, hence:
5x + 2y = 950 (2)
5(y + 50) + 2y = 950
y = 100
x = 100 + 50
x = 150
Solving equations 1 and 2 simultaneously gives y = 100 and x = 150
Therefore they was 150 adult tickets and 100 student tickets
Find more at: https://brainly.com/question/15165519
Henry wanted to turn the following circle graph into a bar graph. the tallest bar in this bar graph will be represented by what part of the family budget?
A: insurance/pension
B: food
C: transportation
D: housing
1
Over the weekend, Cedrick drove 45-miles. He used 2-gallons of gasoline. What is the unit rate for miles per gallon?
22,5
Step-by-step explanation:
45 :2 = 22,5 mark me plz thanks
Find AC please, help is very much appreciated.
Answer:
AC ≈ 67.9
Step-by-step explanation:
15² = 9 (3x + 1 + 9)
225 = 9 (3x + 10)
225 = 27x + 90
135 = 27x
x ≈ 19.29
AC = (3x + 1 + 9)
AC = 3 (19.2857...) + 1 + 9
AC = 57.857... + 1 + 9
AC = 57.857... + 10
AC ≈ 67.9
The area of Mark's laptop computer
screen is 12x2 + 3x in?. If the length is
3x, write an expression that represents
the width?
Your answer
Answer:
4x+1
Step-by-step explanation:
The area is 12x2 + 3x in
The length is 3x
Formula is A=L*B
12x2 + 3x=3x*B
Divide both side by 3x
12x2+3x divide by 3x=B
4x+1=B
The express for the width is 4x+1
Please mark as brainliest
how many movie tickets can you buy with $42 if one ticket costs $6 (include equation)
1=6
x=42
cross multiply
x=7
Please mark brainlist
Find the value of x.
Answer and Step-by-step explanation:
We see that this is a right angle, which means the entire angle is equal to 90.
We can find what x is by adding this expression and 44 and equaling it to 90.
90 = x + 9 + 44
90 = x + 53
37 = x
The value of x is 37.
I hope this helps!
#teamtrees #PAW (Plant And Water)
A prop for the theater club's play is constructed as a cone topped with a half-sphere. What is the volume of
the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi. Complete
sentences
Answer:
Volume of the prop = 706.5 in³
Step-by-step explanation:
Volume of the prop given in the picture = Volume of hemisphere + Volume of the cone
Volume of the hemisphere = [tex]\frac{2}{3}\pi r^{3}[/tex]
where 'r' = radius of the hemisphere
For r = 5 in,
Volume of the hemisphere = [tex]\frac{2}{3}(3.14)(5)^{3}[/tex]
= 261.67 in³
Volume of a cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]
Here r = radius of the circular base
h = height of the cone
For 'r' = 5 in and h 17 in.
Volume of the cone = [tex]\frac{1}{3}(3.14)(5)^2(17)[/tex]
= 444.83 in³
Volume of the prop = 261.67 + 444.83
= 706.5 in³
Chris has 7/8 yards of purple ribbon and one whole one over 6 yards of ribbon Chris has a total of three holes to over 3 yards of ribbon how many yards of Chris's ribbon are neither purple nor green
Complete question :
Chris has 7/8 yards of purple ribbon and 1 1/6 yards of green ribbon. Chris has a total of 3 2/3 yards of ribbon. How many yards of Chris's ribbon are neither purple nor green.
Answer:
1.625 yards
Step-by-step explanation:
Purple ribbon = 7/8 yards
Green ribbon = 1 1/6 yards = 7/6 yards
Total ribbon = 3 2/3 yards = 11/3 yards
Ribbon that is neither purple nor green :
Total ribbon - (green + purple ribbon)
7/8 - (7/6 + 7/8)
11/3 - (28 + 21) / 24
11/3 - 49/24
= 1.625 yards
What is 7 divided by 4/5 and 3 1/2 divided bye by 3/4
7 / 4/5 = 8.75 or 8 3/4
3 1/2 / 3/4 = 4 2/3
---
hope it helps
Please help me I’m lost
Can someone HELPPPPPP?!??!?!?
Answer:
5/5 is 1 so D is correct.
Hope this helps!
1. Find the mean, median, and mode of each set of numbers.
a) 13 kg, 71 kg, 95 kg, 62 kg, 29 kg, 25 kg, 31 kg, 40 kg
What is an equation of the line that passes through the points (5, 8) and (5, 3)?
Answer:
x = 5
Step-by-step explanation:
Use the slope formula and slope-intercept form y = m x + b to find the equation.
Hope this helps:)
How do you find the circumference of a circle? Please include an example if you’d like.
Answer:
Step-by-step explanation:
Plug the given value of the diameter into the formula and solve.[2]
Example problem: You have a circle tub with a diameter of 8 feet, and you want to build a white fence that creates a 6-foot wide space around the tub. To find the circumference of the fence that has to be created, you should first find the diameter of the tub and the fence which will be 8 feet + 6 feet + 6 feet, which will account for the entire diameter of the tub and fence. The diameter is 8 + 6 + 6, or 20 feet. Now plug it into the formula, plug π into your calculator for its numerical value, and solve for the circumference:
C = πd
C = π x 20
C = 62.8 feet
write the recurring decimal 0.25656565656 as a fraction in its simplest form
Answer:
127/495
Step-by-step explanation:
Turning repeating decimals into fractions is a little like surgery: you need to make sure to "cut out" just the right part to let you simplify. In this case, it'd be very nice if we could deal with that repeating 0...565656... part. Let's start by giving our decimal a name:
[tex]x=0.25656...[/tex]
We're gonna split this into two parts: a number we can operate on, and "knife" to make the incision. For both, we'd like the only part to the right of the decimal to be the repeating part. To make our "knife," we'll multiply both sides of the equation by 10:
[tex]10x=2.5656...[/tex]
To make the number we'll be cutting from, we can shift the decimal point by any multiple of two more to the right. I'll keep things simple and stick with 2. This corresponds to multiplying the "knife" equation by 100 on both sides:
[tex]1000x=256.5656...[/tex]
Surgery time! To cut out the repeating bit, we can now just subtract the "knife" equation from the one above:
[tex]1000x-10x=256.5656...-2.5656...\\990x=254[/tex]
And just like that, it's gone! All that's left to do now is divide both sides by 990 and simplify:
[tex]x=254/990=127/495[/tex]
Helpppp plssss. PLSSS
Answer:
81
Step-by-step explanation:
Hope this helps you!!!
Answer: C: 81
Step-by-step explanation:
1
Mrs. Wang has a bag that contains 15 pounds of sugar. For each cake she makes, she uses pound of sugar. How
5
many cakes can she make from the 15 pound bag of sugar?
F 20
75
H
5
15
1
20
Sharon Wells Mathematics Cumulum. Inc 2100-
Grade 5 So Wecks Week 1 Assessment
Answer: she can make 3 cakes with 15 pounds of sugar
Step-by-step explanation: 15÷5=3
Find the value of x. Round to the nearest degree.
hii! how are you? hope you're having a good day! (: i wish you the best. <3 stay strong and stay safe!
The American Quarter Horse is the most popular riding horse in the world. The average weight of an American Quarter Horse at birth is 85 pounds. They grow to a maximum weight of 1300 pounds. Write and solve an inequality to find how many pounds an American Quarter Horse may gain from birth to adulthood.
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that the average weight of an American Quarter Horse at birth is 85 pounds and that they grow to a maximum weight of 1300 pounds.
The inequality to calculate the amount of pounds that an American Quarter Horse may gain from birth to adulthood will be the difference between it's maximum weight and weight at birth. This will be:
= 1300 - 85.
= 1215 pounds
I’LL GIVE BRAINLIEST :)
please help it’s on of my last questions
Determine whether you can construct many, one, or no triangle(s) with each description.
Blank plus 1/5 equals 1/2
Answer:
2/10 + ___ = 1/2
Step-by-step explanation:
2/10 + 3/10 = 1/2
Are the Rectangles Similar? Why you why not?
Answer:
The rectangles are similar.
Step-by-step explanation:
They are similar because the rectangle on the bottom is two times bigger than the rectangle on the top.
1-What is 30% of 45?
2-What is 5%of 55.2
Answer:
13.5 and 2.76
Step-by-step explanation:
Please help. If you get all of them correct, I will Mark you brainliest
9514 1404 393
Answer:
3(2)^(n-1)3(-2)^(n-1)2(3)^(n-1)not geometric2(-3)^(n-1)Step-by-step explanation:
For these, you can find the appropriate formula by looking at the ratio of the first two terms. That will be the number in parentheses in the explicit formula. If there is no match, it is not geometric.
6/3 = 2 . . . an = 3(2)^(n-1)-6/3 = -2 . . . an = 3(-2)^(n-1)6/2 = 3 . . . an = 2(3)^(n-1)5/2 = 2.5 . . . not geometric (arithmetic sequence: an = 2+3(n -1))-6/2 = -3 . . . an = 2(-3)^(n-1)Find the solution to the equation.
n + 13 = 52
Answer:
N = 39
Step-by-step explanation:
N + 13 = 52
-13. -13
N = 39
Answer:
n = 39
Step-by-step explanation:
To find what n equals, I want to get it alone on one side of the equation.
To do this, I move 13 to the right side of the equation by subtracting 13 from both sides.
13-13=0 so n is the only value on the left side
52-13=39.
You are now left with n = 39
To check that this is right, add 13 to 39. It equals 52, so you know the answer you found is correct.
We are painting a rectangular wall of a large room. The dimensions of the wall are 35feet long and 21.5 feet wide. If the total cost of the paint was 421.40 what was the cost in dollars of the paint rounded to the nearest cent
Answer:
56 cent per ft²
Step-by-step explanation:
Wall dimension = 35 feets * 21.5 feets
Total cost of paint used = 421.40
Area of wall = Area of rectangle = Length * width
Area of wall = 35 feets * 21.5 feets
Area of wall = 752.5 ft²
Cost of paint per square feet:
Total coast of paint / Area of wall
$421.40 / 752.5 ft²
= $0.56 per ft²
= 0.56 * 100 = 56
find each measure plz help
Answer:
m∠QRS = 52°
Step-by-step explanation:
From the given figure,
In right triangles ΔRQT and ΔRST,
QT = TS = 7.5 units [Given]
RT ≅ RT [Reflexive property]
ΔRQT ≅ ΔRST [By HL theorem of congruence]
Therefore, m(∠QRT) = m(∠SRT) = 26° [CPCTC]
m(∠QRS) = 2m(∠QRT)
= 2×(26°)
= 52°