HELP ME!! I'LL GIVE BRAINLIEST!!
The range of a launched rocket is modeled by the function r(θ)=1/16 v^2 sinθ cosθ.
Question 1
Use a double angle identity to rewrite the formula.
Answers
Answer:
[tex] r(θ)= \frac{1}{32} {v}^{2} sin2θ[/tex]
Step-by-step explanation:
[tex]r(θ)= \frac{1}{16 }v^2 sinθ cosθ. \\ \\ r(θ)= \frac{1}{16 } v^2 \times \frac{2sinθ cosθ}{2} . \\ \\ r(θ)= \frac{1}{16} {v}^{2} \times \frac{1}{2} \times sin2θ \\ \\ r(θ)= \frac{1}{16} \times \frac{1}{2} {v}^{2} sin2θ \\ \\ r(θ)= \frac{1}{32} {v}^{2} sin2θ[/tex]
The given modeled function for a launched rocket is transformed to [tex]r(\theta)=1/32 v^2 sin2\theta[/tex]
The range of a launched rocket is modeled by the function r(θ)=1/16 v^2 sinθ cosθ. using a double angle to determine identity to rewrite the formula.
What are functions?Functions are the relationship between sets of values. i.e. y=f(x), for every value of input x there is its existing output in a set of y. x is the independent variable while Y is the dependent variable.
Here, using identity
[tex]sin2\theta=2sin\theta cos\theta[/tex]
We have, [tex]r(\theta)=1/16 v^2 sin\theta cos\theta.[/tex]
multiply by 2 to the numerator and denominator of the right-hand side.
[tex]r(\theta)=1/(16*2) v^2 2sin\theta cos\theta.\\r(\theta)=1/(32) v^2 sin2\theta[/tex]
Thus, the given modeled function for a launched rocket is transformed to [tex]r(\theta)=1/32 v^2 sin2\theta[/tex]
Learn more about function here:
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Related Questions
Find the distance between the two points rounding to the nearest tenth (if necessary).
(−1,−2) and (5,2)
Answers
Answer:
7.2 units
Step-by-step explanation:
To find the distance between these two points, we want to use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Plug in the given values of (-1, -2) & (5, 2)
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(5 - (-1))² + (2 - (-2))²]
Simplify the parentheses.
d = √[(5 + 1)² + (2 + 2)²]
d = √[(6)² + (4)²]
Simplify the exponents.
d = √[36 + 16]
Add.
d = √[52]
Evaluate the radical.
2√13 or 7.2111
Round the decimal.
7.2 units
Hope this helps!
Please Help These two!
Thank you
Answers
Answer:
7. there are 30 pounds per box
8. $1.89 per notebook
Step-by-step explanation:
Which number will be closest to 14? A. 13.4 B. 13 1\2 C. 13.08 D. 13 2\5
Answers
Answer:
13.08
Step-by-step explanation:
Its the closest
Answer:
13.5
Step-by-step explanation:
Convert fractions to decimals.
13 and 8/100 is 13.08
13 1/2= 13.5
13 2/5= 13.4 (13.4 and 13 2/5 are the same)
So your options are 13.5, 13.4, 13.08.
Round decimals up or down. When rounding to the nearest hundredth (50 and above rounds up, below fifty rounds down. Ex. 13.5 (13.50) rounds to 14 whereas 13.4 (13.40) and 13.08 round back down to 13)
-*~First Answer Gets Brainliest~*-
On a horizontal number line, which direction represents temperatures that are getting colder? Which direction represents temperatures that are getting warmer?
Answers
Answer:
On a horizontal number line, going left means that temperatures are getting colder, while going right means that temperatures are getting warmer.
helppp! please this is due tmr!!!
Answers
Answer:
111
Step-by-step explanation:
both of the interior angles add up tp the exterior angle
mark brainliest
How many square feet of outdoor carpet will we need for this hole?
Answers
Answer:
42 sq ft
Step-by-step explanation:
First, I will do the small triangle on the right.
2 x 3 = 6
6/2 = 3 sq ft
Next the large rectangle.
11 x 3 = 33 sq ft
Next the large triangle on the left.
3 x (11-7)
3 x 4 = 12
12/2 = 6 sq ft
Add them all together.
6 + 33 + 3 = 42
sorry if im wrong <3
Find the height of a cone with a diamater of 12m whose value is 151 meters cubed, then round it to the nearest meter
Answers
Answer:
Height= 4m (nearest meter)
Step-by-step explanation:
[tex]\boxed{volume \: of \: cone = \frac{1}{3} \pi {r}^{2}h }[/tex]
Diameter= 2(radius)
Given that the diameter is 12m,
radius of cone
= 12 ÷2
= 6m
Let the height of the cone be h meters.
[tex]151 = \frac{1}{3} \pi(6^{2} )(h)[/tex]
[tex]151 = 12\pi h[/tex]
[tex]h = \frac{151}{12\pi} [/tex]
h= 4.0054 (5 s.f.)
Thus, the height of the cone is 4m. (nearest meter)
What is the radius and diameter of the following circle?
7 cm
Answers
Answer:
What is the radius and diameter of the following circle? 5.1 cm radius= diameter=
Answer:
diameter =7 cm
where as radius =diameter /2
=7/2
=3.5cm
You need 3 sticks of butter for every 24 cookies you bake.
Complete the table using equivalent ratios.
3. 24
16
5. 32
Answers
Step-by-step explanation:
3 sticks of butter make 24 cookies
which means we multiplied 3 by 8
then we devide 16 cookies by 8 which is 2 (as you did)
therefore 5 multiplied by 8 equals 40
Triangle RST and its image, triangle R’S’T’, are graphed on the coordinate grid below.
Which rotation, using the origin as the center of rotation, transformed RST to R’S’T’?
A. a 90° clockwise rotation
B. a 90° counterclockwise rotation
C. a 45° clockwise rotation
D. a 45° counterclockwise rotation
Answers
Answer:
B. a 90º counterclockwise rotation
Step-by-step explanation:
You can tell that it moves 90º and it moves in a counterclockwise direction because from RST to R’S’T’ it moves left to right. That is counterclockwise when you look it up.
Hope this helps!!! :)))))
help plzzz fast i have to write the inequality
Answers
Mr. James accepted a new job with a starting annual salary of $32,500. He will receive an annual raise of $1,500 beginning his second year. How much money will Mr. James earn from
his salary for the first four years?
Answers
Answer:
He will earn $139,000 after 4 years
Step-by-step explanation:
32,500+34,000+35,500+37000= $139,000
what is 5% of 30 and what is 25% of 30 and what is the difference?
Answers
Answer:
5% of 30 is 1.5
25% of 30 is 7.5
25% is one quarter. 5% is a fifth of a quarter.
Answer:
5% of 30 is = 30 x 0.05 = 1.5
25% of 30 is 30 x 0.25 = 7.5
The difference is 6
Find the missing side length to the nearest tenth of a millimeter. Enter your answer in the box.
About ___ mm
Answers
Answer:
missing side = 4.7 mm
Step-by-step explanation:
using the Pythagorean theorem:
7² - 5.2² = x²
49 -27.04 = x²
x² = 21.96
x = 4.69
Find the distance between (-2,5) and (4,3).
Answers
Answer:
thanks but i need the picture as well
Step-by-step explanation:
you can add me and i will answer the next problem
Tim's family traveled 3 10 of the distance to his aunt's house on Saturday. They traveled 3 7 of the remaining distance on Sunday. What fraction of the total distance to his aunt's house was traveled on Sunday?
Answers
Answer: 3/10
Step-by-step explanation:
From the question, we are informed that Tim's family traveled 3/10 of the distance to his aunt's house on Saturday. Then, the remaining distance will be:
= 1 - 3/10
= 7/10
Since they traveled 3/7 of the remaining distance on Sunday, the fraction of the total distance to his aunt's house that was travelled on Sunday will be:
= 3/7 × 7/10
= 3/10
Find the volume of the figure below.
Answers
Answer:
Step-by-step explanation: total volume = volume of cuboid +volume of traingular prism
(4×12×14)+√3/4×4²×12=755.138438763
D.is your answer
Sergio has ppp paintings in his art collection. He and other local painting collectors agreed to donate a total of 484848 paintings to the local museum. Each of the 121212 collectors will donate the same number of paintings.
Answers
Answer:
Total paintings Sergio have in his art collection after his donation = p - 4
Step-by-step explanation:
P.S - The exact question is -
Given -Sergio has p paintings in his art collection. He and other local painting collectors agreed to donate a total of 48 paintings to the local museum. Each of the 12 collectors will donate the same number of paintings.
To find - How many paintings will Sergio have in his art collection after his donation ?
Proof -
Given that,
Total collectors = 12
Total painting that has to denote = 48
⇒12 collectors donate paintings = 48
⇒1 collector donate painting = [tex]\frac{48}{12}[/tex] = 4 paintings
∴ we get
Each collector donate paintings = 4
⇒Sergio donate total paintings = 4
Now,
Total pictures Sergio have = p
After donating,
Total left paintings = p - 4
∴ we get
Total paintings Sergio have in his art collection after his donation = p - 4
Please help!! I already missed two!
Answers
Answer:
30,40,50
Step-by-step explanation:
We use the Pythagorean theorem to find out if they would be sides of a right triangle
the Pythagorean theorem states that the two shorter sides squared added together equal the longest side square
for 30, 40 , 50
[tex]30^2=900\\40^2=1600\\1600+900=2500\\50^2=2500\\2500=2500[/tex]
2500=2500 therefore that is the correct answer
I Need Your Help Y'all,
Answers
Use Photomath for the rest
please help me with this
Answers
I'll just do red for now, but if you're very desperate I guess I'll help with a few more lol. It's just a lot of typing and my computer is at 6% :)
RATIO:
Ratios are another way of comparing things. It's almost like a fraction, except that it can look like x:y.
I'm guessing you're comparing all of the reds to the total amount, which should be 39. Put 5 in for x and 39 for y to make it look like 5:39.
DECIMAL:
Oh decimals are so fun...
Just divide 39 by 5. The answer to red's decimal is 7.8.
PERCENTAGE:
Percentage can come a little bit confusing to some people, so I'll explain this the best I can.
Basically, all you have to do to find it is divide the number you're making into a percentage by the total amount, then multiply it.
5/39 x 100
0.1282051282 x 100
12.8205128205
I'm going to the nearest hundredth which is 12.82.
Your percentage is %12.82
(If you're rounding to the nearest whole number, it'll be %13)
THEORETICAL:
For this simplify your ratio. 5/39 cannot simplify, so just leave it as 3/39.
Sorry, sometimes I come out a little confusing, so just try not to think too hard about what I'm trying to say if you're confused more lol. Anyway my computer is going to die so I'll go now :)
Can someone tell me if my answer is correct? If it’s not what will it be?
Find g(x), where g(x) is the translation 1 unit left and 4 units up of f(x) = -6x - 4.
Write your answer in the form mx + b, where m and b are integers.
g(x) = -7x-8
Answers
Which statement best describes the expression 3 + 2 + y? (1 point) a The quotient of y and the sum of 3 and 2 b The quotient of the sum of 3 and 2 and y с The sum of 3 and the quotient of 2 and y d The sum of 3 and the quotient of y and 2
Answers
Answer:
с. The sum of 3 and the quotient of 2 and y
Step-by-step explanation:
Given that: 3 + 2 ÷ y
It would be observed that operation addition comes before division, but with respect to BODMAS; division (D) comes before addition (A).
Thus,
3 + 2 ÷ y = 3 + [tex]\frac{2}{y}[/tex]
and [tex]\frac{2}{y}[/tex] is the quotient of 2 and y
Therefore, the appropriate statement that would describe the expression is; the sum of 3 and the quotient of 2 and y. This is option C in the given question.
halp plz i give crown, due in 30 mins
Answers
Answer:
Step-by-step explanation:
A. you put 46.2 in where the F is
h=61.412+2.317(46.2)
61.412+107.0454
= 168.4574cm
B.
h=81.688+2.392(50.1)
= 201.5272 cm
C.
femur: 39.097
tibia: 31.357
humerus: 27.68
radius: 20.25
D.
F: 50.899
T: 42.355
H: 26.407
R: 28.11
What type of property is this?
8x(d+5)
Distributive
Commutative
Associative
Answers
Answer:
distributive
Step-by-step explanation:
this is distributive because the 8 is being multiplied by both d and 5 ; it is being distributed amongst them both
56+(−56)=
−240+370=
−5.7+(−4.2)=
Answers
Answer:
Step-by-step explanation:
1st one is 0
2nd is 130
3rd is 9.9
The angle of depression from the top of the building to a telephone line attached to the ground is 34°.if the building is 25 feet tall how far from the building does a telephone line reach the ground
Answers
Answer:
88
Step-by-step explanation:
Write the equation of the line that passes through points (-4,-1) & (5,3)
Answers
Step-by-step explanation:
ax+by+c=0 is the equation of a line
using y-y1=m(x-x1)
m=3+1/5+4=4/9
y+1=4/9(x+4) multiplying through 9
9y+9=4(x+4)
9y+9=4x+16
9y+9-4x-16=0
9y-7-4x=0
9y-4x-7=0
then you have your answer
Find the diameter of a circle with a circumference of 27 centimeters. Use 3.14. Round to the nearest tenth.
Answers
Answer:
The diameter of the circle is 5.6 cm
Step-by-step explanation:
To solve this problem we need to use the circumferenc formula of a circle and clear d:
c = circumference = 27cm
d = diameter
π = 3.14
c = π * d
d = c / π
we replace with the known values
d = 27cm / 3.14
d = 5.599
The diameter of the circle is 5.599 cm
round to the nearest tenth
d = 5.599 cm = 5.6 cm
The diameter of the circle is 5.6 cm
If Tom Brady has a completion percentage of 64%, how many passes would he complete in a game where he attempted 30 passes?
Answers
Answer: 19
Step-by-step explanation: