Answer:
slope -5/4
Step-by-step explanation:
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.
A shop owner offered a 20% discount off the regular price of a mirror. The amount of the discount is $5. What is the regular price of the mirror?
Answer:
25 dollars
Step-by-step explanation:
If 20 percent of the initial price was 5, you can create the equation:
0.2x=5, with x being the regular price.
Multiply both sides by 5:
x=25
Answer:
25$
Step-by-step explanation:
20/100 can be rounded down to 1/5 meaning all you have to do is multiply 5 by 5
5 times 5 is 25
25$ was the original price
Solve the equation using the Properties of Equality.
You buy a gallon of milk. How many cups can you pour from it?
Answer: 16 cups!
Step-by-step explanation: Hopefully this helped :D
Answer:
16
Step-by-step explanation:
Step 1:
1 gallon = 16 cups Conversion
Answer:
16 cups
Hope This Helps :)
The third-grade teachers had a pizza party. They ordered 11 large pizzas and each pizza had 8 slices. There were 4 classrooms in the grade.
whats the question you only stated the problem
Answer:Not exactly sure what the question is but...
Step-by-step explanation:There would be 88 slices so each classroom would get 22 slices.
Hope this helps
what is the slope of the line that goes through the points (2,-1) and (6,1)
Answer: The slope is [tex]\frac{1}{2}[/tex].
Step-by-step explanation:
1. You set up your Slope Formula [tex]M=\frac{y2-y1}{x2-x1}[/tex].
2. Substitue your points into the formula.[tex]M=\frac{1--1}{6-2}[/tex].
3. Once you substitute, you will solve the equation[tex]M=\frac{2}{4}[/tex].
4. Simplify the equation if you have to [tex]M=\frac{1}{2\\}[/tex].
Evaluate each of the following expressions for
a = -2 and b = -10
1. ab
y^2+3y^2-6y+y^{3-8y}
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
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
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:
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
Angle ABD is 90 what is the measure of ABC
Answer:
90 I am guessing. if it's like a square or rectangle
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!
Which statement about residual plots is not true?
A. if the residuals are randomly distributed, the model is probably reasonable
B. The sum of the residuals is 0
C. The vertical axis shows residuals
D. The horizontal axis shows the predicted y-values
Answer:
The horizontal axis shows the predicted y-values.
Step-by-step explanation:
The person above me is dumb, he's cancelled.
Answer:
D
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).
Figure B is a scaled copy of Figure A. Select all of the statements that must be true:
Figure B is larger than Figure A.
Figure B has the same number of edges as Figure A.
Figure B has the same perimeter as Figure A.
Figure B has the same number of angles as Figure A.
Figure B has angles with the same measures as Figure A.
Item at position 2
ANSWER QUICKLY PLEASE
Answer:
Same number of edges
Same number of angles
Angles woth same measures
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
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.An ant with a mass of 4 x 10-6 kg is carrying a bread crumb back to its anthill . The bread crumb has a mass of 8 x 10-5 kg. The mass of the bread crumb is how many times the mass of the ant?
Answer:
Mass of bread crumb is 20 times the mass of the ant..
Step-by-step explanation:
Mass of an ant = [tex]4\times 10^{-6}[/tex] kg
Ant carries a weight of bread crumb to its anthill.
Mass of the bread crumb = [tex]8\times 10^{-5}[/tex] kg
Ratio of their masses,
[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{4\times 10^{-6}}{8\times 10^{-5}}[/tex]
[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{1}{2\times 10^{(-5+6)}}[/tex]
[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{1}{20}[/tex]
Mass of the bread crumb = 20×(Mass of the ant)
Therefore, mass of the bread crumb is 20 times the mass of the ant.
Which graph matches the following inequality: y<-2/5x+1?
Answer: B is the answer
Step-by-step explanation:
Can somebody help me plz with this math problem!!
Answer:
Step-by-step explanation:
.
Answer:
thxxxxxxxxxx for the points
Step-by-step explanation:
what is 3600x0+1=2?
thanks i appreciate it
Answer:
actually it = 1 but there's your answrr
Step-by-step explanation:
3600x0 = 0
0+1=1
Write 3.19×10−2 in standard form.
Answer:
It is already in standard form
Find the additive inverse of -1/8
Answer:
1/8
Step-by-step explanation:
(Dont mind me, just need to add more characters LOL)
What is equivalent to
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
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 ).
HELPP ASAP!! PLS BE SURE THAT THE ANSWER IS CORRECT
Which of the binomials below is a factor of this Torinomial? X2 + 12x + 32
x2+12x+32
Factor out 2 from the expression
2(x+6x+16)
Collect like terms
2(7x+16)
Now we do the same thing only different way ok
x+6x
If a term doesn't have a coefficient , it is considered that the coefficient is 1
1x+6x
Collect like terms by adding their coefficients
(1+6)x
Add the numbers
7x
1+6=7
To add the numbers using a number line, start from zero.
Since 1 is positive, move the point 1 unit to the right.
Since 6 is positive, move the point 6 units to the right
The result is 7
Answer : 2(7x+16)
That's it . Hope it wasn't too hard to understand?
Please give me as brainliest