Answer:
15
Step-by-step explanation:
y +15-8 =22
y +15 =22 +8
y +15 =30
y =30-15
y=15
y^2+3y^2-6y+y^{3-8y}
What If? If the teacher always launches the ball with the speed found in part (a), what is the minimum angle (in degrees above the horizontal) at which he can launch the ball and still clear the playground railing? (Hint: You may need to use the trigonometric identity sec2(θ) = 1 + tan2(θ).)
9514 1404 393
Answer:
43.303°
Step-by-step explanation:
Problem geometry varies. For this question, we will assume ...
The ball is launched at a 53° angle, 24 m from a buildingThe ball takes 2.20 seconds to reach the buildingThe railing is 6.4 m highThe equation of motion in this case is ...
h(x, α) = x(tan(α) -4.9x/(v·cos(α))²)
where h(x) = height at distance x, α is the launch angle, vₓ is the horizontal speed of the ball.
__
The ball was launched at an angle of 53° in part (a) at a speed that gives it a horizontal speed of (24 m)/(2.2 s). That is, the speed in the direction of launch is ...
(24 m)/(2.2 s)/cos(53°) ≈ 18.126983 m/s . . . . speed in part (a)
__
For the question at hand, we need to find α such that ...
h(24) = 6.4
Substituting into the above equation gives ...
6.4 = 24(tan(α) -24(4.9/18.126983^2·sec(α)^2)
6.4 = 24(tan(α) -0.35789551(tan(α)^2 +1)) . . . . replacing sec(α) using hint
If we let z represent tan(α), this can be written in standard form as ...
8.5894922·z^2 -24z +14.989492 = 0
Then the minimum solution (by the quadratic formula) is ...
z = (24 -√(24^2 -4(8.5894922)(14.989492)))/(2·8.5894922)
z = 0.94244774
And the angle is ...
α = arctan(z) = arctan(0.94244774) ≈ 43.303°
The teacher must launch the ball at an angle of at least 43.3° to clear the railing.
Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 13, adjacent B C is 5, opposite A C is 12.
For the triangle above, find sin B.
a.
25°
c.
0.923
b.
0.385
d.
18°
Answer:
sin = opp/hyp
sin B = 12/13
sin B = 0.923
C
What is the additive Inverse (zero pair) of 3k
Answer:
-3000
Step-by-step explanation:
an additive inverse of a number is a number, when added to, makes zero. So if its 3000 than the inverse would be -3000 since it equal 0
Evaluate each of the following expressions for
a = -2 and b = -10
1. ab
I will give brainliest !!!!!
An office supply store sells notebooks in packs of 15 and folders in packs of 18. A business wants to have one notebook for each folder. What is the least number of notebooks and folders that the business has to buy?
30
270
3
90
Answer:
90 notebooks and folders
Step-by-step explanation:
Find the least common multiple (LCM) or 18 and 15!
18 x 5 = 90
15 x 6 = 90
Therefore, your answer is 90
Hope this helps!
What is the temperature displayed on the thermometer?
Your Answer :
98.6°F (37°C).
Step - By - Step Explanation :
Your normal body temperature should be around 98.6°F (37°C). If you have a temperature that is over than 100.4°F (37.2°C), then you should see your doctor preferably soon.
Note :
I am sorry if this is the wrong answer to your question. Your query did not have an image to display the temperature on the thermometer nor did your query have any further context for us to examine.
Good luck on your homework and have a great day.
Feel free to comment on my answer if you have any further questions.
Answer:
25
Step-by-step explanation:
It's Correct On Edge As Well :P
Find the y-intercept of the equation y = -0.5x - 3
Answer: -3
Step-by-step explanation: When you graph this that’s what you get
Answer:
-3
Step-by-step explanation:
the y intercept is when x is 0 on the graph. Since you know x has to be zero, you can substitute x for 0 in the equation:
y = -0.5x0 -3
Now you can ignore that first part of the equation because it equates to 0, and so you get:
y= 0 - 3
which equals:
y=-3
Angle ABD is 90 what is the measure of ABC
Answer:
90 I am guessing. if it's like a square or rectangle
Helen borrowed $8,000 from her grandfather to pay for college. Five years later, she paid him back the $8,000 and an interest of $1,200. What was the annual interest rate?
Answer:
3%
Step-by-step explanation:
No explanation
5. Ameris rolls a standard number cube with the numbers 1-6. What is the probability of
rolling a 6 or a 2?
a. 16
b. 13
C.
d. 5%
Answer: its 2/6 is the answer the choices don't make cense
Step-by-step explanation:
halp me I need halp plz
Answer:
3 13/20
Step-by-step instructions
Answer:
The correct equation that is shown is number 3. (edited).
Vincent counts 30 dimes and 87 pennies in a bowl. How many more pennies
than dimes are in the bowl?
Answer:
57
Step-by-step explanation:
87-30=57. That means that there are 57 more pennies than dimes in the bowl.
Answer:
subtract 30 from 87
Step-by-step explanation:
87-30
A large spherical balloon is being deflated. When the radius of the balloon decreases from 10 ft to 5 ft, approximately how much
volume has it lost?
A)
825 ft
B)
3665 ft?
C)
5726 ft3
D)
7259 ft
Answer:
d. 7258
Step-by-step explanation:
:)
a water turck is filling a swiming pool. the euqation that represents this relationship is y = 19.75x where y is the number of gallons of water in the pool and x is the number of minutes the truck has been filling the pool choose true or false for each statement
Answer:
TrueStep-by-step explanation:
Given the expression
y = 19.75x
let us see the solution from this angle
we know that
speed=distance/time
distance=speed*time
i.e quantity=rate*time
y = 19.75x
y=the quantity =number of gallons
19.5= the rate of flow
therefore
x= the time in minutes
Solve the equation using the Properties of Equality.
Mike completed an online course that contained 20 core topics in a total of
40 learning hours. How many topics did he complete in 12 hours time?
Answer:
6 hours
Step-by-step explanation:
What you have to do is find the unit rate, which would be 20/40 which is .5 ( half an hour, 30 mins ) . Then you would do 30 x 12 = 360 ( 6 hours ).
Write 3.19×10−2 in standard form.
Answer:
It is already in standard form
Which graph matches the following inequality: y<-2/5x+1?
Answer: B is the answer
Step-by-step explanation:
Question
Identify the correct graph and solution for the inequality.
10 a <25
(Look at pic)
Answer:
First option
Step-by-step explanation:
First, Solve the inequality:
Divide each side by 10 to cancel out the 10 next to a. It should now look like this: a < 2.5Find the inequality that matches the solution:
The first option (which literally writes the simplified version of the inequality) is correct, because it matches our simplified inequality above.Find f(-5) if f(x) = |x + 1|.
A)6
B)5
C)4
Use the distributive property to simplify the following expression-(8+b)
Do you see the negative sign in front of the parentheses? That is -1.
Multiply each term inside the parentheses by -1.
Doing so, we get -8 -b.
Can somebody help me plz with this math problem!!
Answer:
Step-by-step explanation:
.
Answer:
thxxxxxxxxxx for the points
Step-by-step explanation:
5=45 ÷
What is the answer
45 ÷ 5 = 9
So, 5 = 45 ÷ 9
I have a riddle for you I have 31 82,400,060 tens and 100 hundreds
Answer: 31824010600
Step-by-step explanation: 3182400060 tens and 100 hundreds = 31824010600.
Please find X. I need help!
There are 2 overlapping triangles here. If the vertical lines are parallel, then these triangles are similar, and corresponding sides occur in a fixed ratio. In particular, we have
2/3 = (2 + x) / (3 + (x + 7))
Solve for x :
2/3 = (2 + x) / (10 + x)
2 (10 + x) = 3 (2 + x)
20 + 2x = 6 + 3x
14 = x
Amanda owns 9 T-shirts, 4 of which are white. If Amanda randomly selects a T-shirt to wear, what is the probability it will be white? Write your answer as a fraction or whole number.
P(white) =
Step-by-step explanation:
P(white)=4/9 is the probability
Which number sentence has the solution of a = 16?
1.) a/2 + 2 = 6
2.) a/4-3 = 1
3.) a/6 + 4 = 2
4.) a/2 - 12 = 20
i need help with this
Answer:
answer is A
Step-by-step explanation:
This symbol is called a tilde. In symbolic logic (a field of math
used a lot in computer sciences) it is used to denote "not." For
example, ~A means "not A." In some other contexts, it means
"approximately." For example, pi ~= 3.1416. (Note that sometimes it is
written above the equal sign, and sometimes it is used without an
equal sign - it depends on the situation and the publisher.)
What is equivalent to