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
Someone please help (urgent)
Answer:
6.5 cm
Step-by-step explanation:
0.5/0.25 = 2
13/2 = 6.5
A soccer team has 12 girls and 18 boys. The team is split into groups that have the same ratio of girls to boys as that of the whole team. How many girls are in a group that has 12 boys?
Answer: 8 girls
Step-by-step explanation:
The team is split into groups that have the same ratio as the whole team.
This means that every group must obey this ratio:
12 girls : 18 boys
At the lowest form (dividing both sides by 6), the ratio is:
2 : 3
Every group must therefore be in a ratio of; 2 : 3.
In a team group that has 12 boys, the number of girls is:
2 : 3
x : 12
3x = 24
x = 24 / 3
x = 8 girls
convert y=x^2-4x+5 to vertex form by completing the square
Answer:
The vertex form will be:
[tex]y(x)=(x-2)^{2}+1[/tex]
Step-by-step explanation:
The equation of the vertex form of a quadratic equation is given by:
[tex]y(x)=a(x-h)^{2}+k[/tex]
Where:
a is a coefficient
h is the x value of the vertex
k is the y value of the vertex
To completing the square we just need to add and subtract the square of the term with x divided by 2.
[tex]y(x)=x^{2}-4x+(\frac{4}{2})^{2}-(\frac{4}{2})^{2}+5[/tex]
[tex]y(x)=x^{2}-4x+4-4+5[/tex]
[tex]y(x)=(x-2)^{2}-4+5[/tex]
Finally, the vertex form will be:
[tex]y(x)=(x-2)^{2}+1[/tex]
I hope it helps you!
PLZ HELP IM GETTING TIMED!!! I'LL MARK BRAINIEST IF CORRECT!!!!!!
Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation Negative one-half x + 3 = 4 minus one-fourth x?
Negative one-fourth x = 1
Negative three-fourths x = 1
7 = one-fourth x
7 = three-fourths x
Answer:
hlo que hacen
Step-by-step explanation:
what is the function of f(0)
Answer:
Steps:
1. The zero of a function is the x-value that, when plugged into a function, makes the function equal to 0.
2. f(x) means that we have a function of x.
3. The zero of the function f(x)=2x-2 is the x-value that makes f(x) = 0.
4. So we can just set the function equal to 0, and then solve for x!
Hope this helps
Step-by-step explanation:
Help me with this problem because I do not understand it!
Answer:
The center is (-1, 5) and radius is 9Step-by-step explanation:
Given function
x² + 2x + y² = 55 + 10yPut the equation into standard form:
(x - h)² + (y - k)² = r², where (h, k) is the center, r- radiusCompete square for both x and y:
x² + 2x + y² = 55 + 10yx² + 2x + 1 + y² - 10y + 25 = 81(x + 1)² + (y - 5)² = 9²The center is (-1, 5) and radius is 9
The graph is attached
If the x-value is multiplied by 3, what happens to y? The y-value is multiplied by _______
Answer:
Follow me please
Mark brainliest
Can yall help and put some way to tell me how you got it?
Answer:
20
Step-by-step explanation:
Your gonna want to do 60 divided by 3 which if you do not understand division a way to do it is to keep subtracting 60-3 until you get to 0 and count the number of times it took to get to 0 which would be 20 because also 20 times 3 equals 60.
Answer: The answer is H
Step-by-step explanation: what i did is= 60/3=20 and then 20x5 hope that helps. If not ask me a question
PLEASE HELP EMERGENCY!!
Given f(x) = x2 – 10x + k, and the remainder
when f(x) is divided by x + 2 is 32, then what is
the value of k?
Answer:
Step-by-step explanation:
PLEASE HELP EMERGENCY!!
Given f(x) = x2 – 10x + k, and the remainder
when f(x) is divided by x + 2 is 32, then what is
the value of k?
Square OPQR is inscribed in triangle ABC. The areas of △AOR, △BOP, △CRQ are 1, 3, and 1, respectively. What is the area of square OPQR?
Answer:
9 units²
Step-by-step explanation:
We know that ΔCRQ and ΔBOP are right triangles because RQ and OP are perpendicular to CB.
ΔAOR must also be a right triangle because ∠AOR = ∠OBP and ∠ARO = ∠RCQ.
Because of the Angle-Angle-Angle theorem, we know that ΔAOR ≅ ΔBOP ≅ ΔCRQ.
AR/AO = OP/PB
3(1/2)(AR)(AO) = (1/2)(OP)(PB)
PB = 6, OP = 3
3 x 3 = 9 units²
The area of square OPQR is 9 units².
Calculation of the area of square:Since
ΔCRQ and ΔBOP are right triangles since RQ and OP are perpendicular to CB.
Also,
ΔAOR must also be a right triangle due to ∠AOR = ∠OBP and ∠ARO = ∠RCQ.
So it can be like
AR/AO = OP/PB
3(1/2)(AR)(AO) = (1/2)(OP)(PB)
PB = 6, OP = 3
= 3 x 3
= 9 units²
hence, The area of square OPQR is 9 units².
Learn more about area here: https://brainly.com/question/24703634
6.
Jake treaded water for 279 seconds. Colin traded water for five minutes and
eight seconds. How many more seconds did Colin tread for?
Answer:
29
Step-by-step explanation:
expand the expression (5x-y)^3 using the binomial theorem
Kiran mixes \frac{3}{4}
4
3
cups of raisins, 1 cup peanuts, and \frac{1}{2}
2
1
cups of chocolate chips to make trail mix. How much of each ingredient would he need to make 10 cups of trail mix? Explain your reasoning.
Step-by-step explanation:
7.5 cups of raisins, 10 cups of peanuts and 5 cups of chocolate chips.
Step-by-step explanation:
We are given that,
The amount of ingredients needed for the trail mix are,
Raisins = \frac{3}{4}
4
3
cup
Peanuts = 1 cup
Chocolate chips = \frac{1}{2}
2
1
cup
Since, Kiran needs to make 10 cups of the trail mix.
The amount of ingredients needed will be,
Raisins = \frac{3}{4}\times 10
4
3
×10 = \frac{30}{4}
4
30
= 7.5 cups
Peanuts = 1 × 10 = 10 cups
Chocolate chips = \frac{1}{2}\times 10
2
1
×10 = 5 cups
Hence, the ingredients needed are 7.5 cups of raisins, 10 cups of peanuts and 5 cups of chocolate chips.
4 1/4 not sure tho i got it from internet
The number of eggs in the refrigerator e decreased by 5 equals 19.
Enter an equation to represent the situation.
The equation is
Answer:
n - 5 = 19
Step-by-step explanation:
n - 5 = 19
+5 +5
n = 24
Evaluate x/4 - 9 when x = 24.
Answer:
3
Step-by-step explanation:
Substitute x with 24
(24)/4 - 9
Divide
6 - 9
Subtract
3
3) Solve the triangle given that a = 15, b = 17, c = 13.
Answer:
this is not a real triangle
Step-by-step explanation:
15 ejercicios de peróxidos tomando en cuenta su formulación y nomenclatura
Answer:
1) Av2O2 N.Stook: peróxido de oro (I) N.Sistemática: dióxido de dioro N.Tradicional: perioxido auroso
Can y’all help me please!!!
Right - Left
1-2
2-3
3-4
4-1
Is the relation { (3, 2), (-1, 2), (7, 2), (0, 2)} a function? Why or why not? List the domain and range.
Answer:
its a function because each input (X) only has one output (y)
domain (3,-1,7,0)
range (2)
Step-by-step explanation:
Help please, I am not really good with this subject..
HELP!
Find the volume of each sphere. Rand to the nearest tenth!
A) 49.2
B) 268.1
C) 102.05
D) 153.3
pls help !!
For the triangle shown below, complete the following table.
Note: Use slash (/) to separate numerator and denominator
sin A
sin C
cos A
cos C
Answer:
Cos=C
Step-by-step explanation:
Fax cause triangle=45 angle so 45/5=8
Convert the fraction below into a percent: 3/4
Answer:
75%
Explanation:
3 divided by 4 is 0.75, move the decimal right 2 places and add a percentage sign
Answer:
75% out of 100%
Step-by-step explanation:
Trey pourd 5 1/2 cups of birdseed into an empty bird feeder. The bird feeder is now 3/4 full. How much more for it to be full.
Answer:
1 and 1/3 Cups
Step-by-step explanation:
3/4 of the birdfeed is filled by 5.5 cups
3/4 x= 5.5
solve for x my multiplying by 4/3 to see how much space is left in the feeder
=1 and 1/3 space left
The cup needs 1 5/6 cups more birdseed to fill the bird feeder completely.
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
If the bird feeder is 3/4 full after Trey poured 5 1/2 cups of birdseed, then we can find the total capacity of the bird feeder by dividing the 5 1/2 cups by 3/4:
5 1/2 / 3/4 = 22/4 / 3/4 = 22/4 x 4/3 = 88/12 = 22/3
So the bird feeder can hold 22/3 cups of birdseed when it's full.
Since the bird feeder is already 3/4 full, we need to fill the remaining 1/4 of the bird feeder
On simplifying the equation , we get
1/4 x 22/3 = 22/12 = 1 10/12 cups
Hence , we need 1 10/12 cups or 1 5/6 cups more birdseed to fill the bird feeder completely
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I WILL GIVE 20 POINTS PLEASE HELP ME
Complete the question of the line through (1,4) and (2,2). use exact numbers
Step-by-step explanation:
slope is 2-4/2-1 = -2/1 = -2
equation:
y-2 = -2(x-2)
y = -2x + 6
Bill has fruit trees on his farm, and 42 of them are apple trees. If apple trees represent 35% of all his fruit trees, how many total fruit trees dose he have?
Answer:
Step-by-step explanation:
t(35/100)=42
35t=4200
t=120
So there is a total of 120 fruit trees.
Answer:
Its 35.72
Step-by-step explination
couldn't insert a photo sorry, Iwas going to, but it wouldn't let me
someone please do this for me... i will mark brainliest. all work needs to be shown. (picture shown above)
Step-by-step explanation:
just use step by step process so dum
*WILL GIVE BRAINLIEST FOR BEST ANSWER*
Use the data from the dot plot below to answer the question.
How many students from this data sample have three siblings?
Question 2 options:
A. Three students have three siblings
B. One student has three siblings
C. Four students have three siblings
D. Two students have three siblings
mr and mrs Jones buy cinema tickets for themselves and their three children. the cost of an adult ticket is £6 more than a child ticket. the cost of the five tickets is £45
work out the cost of an adult ticket
Answer:
£12.60
Step-by-step explanation:
let the cost of a child ticket be x then the cost of an adult ticket is x + 6
Sum the costs and equate to 45
x + 6 + x + 6 + 3x = 45 , that is
5x + 12 = 45 ( subtract 12 from both sides )
5x = 33 ( divide both sides by 5 )
x = 6.6
Cost of and adult ticket = x + 6 = 6.60 + 6 = £12.60
The cost of an adult ticket is £12.60.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
Mr. and Mrs. Jones buy cinema tickets for themselves and their three children.
That means, there are two adults and three children.
The cost of an adult ticket is £6 more than a child ticket.
Let n be the cost of a child.
The cost of the five tickets is £45.
That means,
the equation,
2(n+6) + 3n = 45
n = 33/5
n = 6.6
The cost of an adult ticket is £12.60.
Therefore, the cost of an adult ticket is £12.60.
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