Answer:
x = 16 and y = 116
Step-by-step explanation
For the trapezoid, the sum of the adjacent side is 180. Hence;
6x+20 + 4x = 180
10x + 20 = 180
10x = 180-20
10x = 160
x = 160/10
x = 16
Also, the sum of opposite side is 180, hence;
4(16)+ y = 180
64 + y = 180
y = 180 - 64
y = 116 degrees
hence x = 16 and y = 116
am i doing this correctly?
The height of a batted baseball is modeled by the equation h(t) = -16t²+64t+6, where t is measured in seconds and h is measured in feet.
a.) At what time in seconds does the ball attain its maximum height?
b.) What is the maximum height attained by the ball? (Give your answer in feet.)
Answer:
[tex] \frac{dh}{dt} = - 32t + 64 = 0 \\a) \: t = \frac{ - 64}{ - 32} = 2 \\ \\ b = - 16 \times 4 + 64 \times 2 + 6 = - 64 + 2 \times 64 + 6 = 64 + 6 = 70[/tex]
Answer:
a) t = 2 seconds
b) 70 feet
Step-by-step explanation:
First of all, we are going to take the derivative of the function (which is a displacement function) to make find its velocity function.
[tex]h(t) = -16t^{2} +64t+6[/tex]
To find the derivative of the equation, we must multiply the coefficient by the exponent and then minus one from the exponent for each term.
[tex]v(t)=(-16)(2)t^{2-1} +64(1)t^{1-1}+6(0)t^{0-1} \\v(t) = -32t +64[/tex]
Now we can substitute in v=0
This is because the ball is at the top of its parabola path, it is the turning point and the slope is 0. The velocity physically speaking would also be 0 at the very top of its path.
[tex]0=-32t+64[/tex]
Rearrange and we get:
[tex]32t = 64\\t=2[/tex]
Ball attains maximum height at 2 seconds.
To find the maximum height, we now just have to substitute back in the time into the original equation to find the height.
[tex]h(t) = -16t^{2} +64t+6[/tex]
[tex]h(2) = -16(2)^{2} +64(2)+6\\h(2)=-64+128+6\\h(2) = 70[/tex]
The maximum height attained is 70 feet.
Hope this helped!
Please help asap!
Find the area of the figure.
area ___ units^2
Answer:
34 Units ^2
Step-by-step explanation:
What is the area? Please help
Answer:
75
Step-by-step explanation:
A=1/2h(a+b) =10÷2=5(10+5)=5×15
=75NEED HELP ASAP
What type of function is this: y=.7X ?
1:Quadratic
2:Exponential growth
3:Exponential Decay
4:linear
Answer:
Linear (4)
Step-by-step explanation:
I assume that by " y=.7X " you actually meant " y = 7x"
If that's the case, this y=7X is a LINEAR function. Its graph is a straight line.
If you meant " y = 0.7x " that is still a LINEAR function whose slope is smaller than that of y = 7x.
Two angles have a supplementary relationship. The measure of one angle is 14°. What is the measure of the second angle?
Answer:
166°
Step-by-step explanation:
Supplementary angles have a sum of 180 degrees
That being said, we can find the measure of the missing angle by subtracting the measure of the given angle by 180
(the giving angle having a measure of 14°)
so missing angle = 180 - 14
180 - 14 = 166
Hence, the measure of the second angle 166°
Identify the zeros/roots: and
Does it have a minimum or maximum?
Axis of symmetry:
Vertex:
y-intercept:
Which graph represents the function y = 4?
Answer:
answer is ABCD
Step-by-step explanation:
I took the quiz
Erwin flips a coin and rolls a standard number cube. Find the probability that the coin will show heads and the
cube will show a multiple of 3.
Write the probability as a fraction in simplest form.
Answer:
1/6
Step-by-step explanation:
P(H and 3 or 6): 1/2 x 2/6 = 2/12 or 1/6
plss help i’ll give brainliest thank you!
Answer:
its 36 can you give me brainlyyy pleaasee
Answer:
36
Step-by-step explanation:
18 goes into 9 but not 12.
24 goes into 12 but not 9.
36 goes into 9 also into 12.
48 goes into 12 but not 9.
Hope this helps!
is anybody can help me with this one?
[tex]5(1 + n) = 2n ^{2} - 2[/tex]
Answer:
n = -1 , 3.5
Step-by-step explanation:
Move the terms to the left side and set equal to zero. Then set each factor equal to 0
is 3 greater than -10
Answer:
Yes, it is
Step-by-step explanation:
If you look at a number line, 3 is on the postive side of the number line.
Please help, thankss
Answer:
The second option 5x.
Step-by-step explanation:
Because it says 'x inches each' knowing that it said 5 before that. (5x) no math included just wording and phrasing :)
The gene that causes brown fur in a rabbit develops a
mutation that results in white fur.
How would this mutation most likely affect a rabbit that lives in a snowy
climate?
Answer:
It would help the rabbit by blending in with the environment and avoiding predators.
Step-by-step explanation:
I got the question right ap3x
Answer:
Step-by-step explanation:
It would help the rabbit by blending in with the environment and avoiding predators.
Michael rolled a number cube that has sides labeled 1 to 6. What is the probability that he rolled a 2 and then a 4?
Answer:
3/4
Step-by-step explanation:
Which expression is equivalent to 2 1/5 divided by 1/4
please help
Answer:
[tex]\frac{0.2}{20}[/tex]
Step-by-step explanation:
ez
In the scenario:
“The number of ways to place 12 pictures in identical picture frames.”
Determine if it is a combination or permutation.
Combination
Permutation
Answer:
Combination
Step-by-step explanation:
Answer:
This would be a Permutation.
[tex]3\sqrt{x} -1\leq 12[/tex]
Answer:
0≤x≤169/9
Step-by-step explanation:
Find the surface area of a square pyramid with side length 6 cm and slant height 6 cm.
Answer: 108 cm
Step-by-step explanation: Formula for square triangle is
SA=
PLEASE HURRY. THIS IS FROM A TEST AND I GOT THE QUESTION WRONG.
Answer:
60
Step-by-step explanation:
5*3=15
3*3=9
4*3=12
4*3=12
4*3=12
(12*3)+9+15= 60
Answer:
i think the voulme would be 60 cm
Step-by-step explanation:
im sorry if its wrong
What is the volume of this rectangular prism?
2/3
cm
5 cm
6 cm
Answer:
20cm^3
Step-by-step explanation:
The volume of a rectangular prism is just the 3 values multiplied by each other. So that would be 6x5x2/3 = 20cm^3
Help me pleaseeeee!!!
Answer:
(6, 5) is the answer.
Step-by-step explanation:
The y's intersect at (6, 5)
Eighth grade) W.16 Create equations with no solutions or infinitely many solutions Learn with an example v Find the missing number(find blank) so that the equation has no solutions. (blank) X - 5 = 3x + 10
Answer:
i dont know if this is the right but i think its -5
Step-by-step explanation:
At the mall, Jamie buys a pair of jeans for $34 and then a shirt for $12. The store is having a 25%
off sale. You will then have to pay 8% sales tax. What is the total amount you will pay?
Answer:
$37.26
Explanation:
firstly, we find the total original price: $34 + $12 = $46.
next, we can multiply this by 100% - 25% = 75% to find the discounted price:
$46 × 75%
= $46 ÷ 100 × 75
= $34.50
finally, add on the sales tax which is 100% + 8% = 108%:
$34.50 × 108%
= $34.50 ÷ 100 × 108
= $37.26
i hope this helps! :D
You start at (9, 3). You move down 3 units. Where do you end?
Answer:
9,6 good luck with the answer
answer: (9,0). bc moving down is in the y axis. subtract 3 from (9,3) and it equals (9,0)
in a school of 940 pupils, the number of girls exceeds the number of boys by 150. how many girls are there
Answer:
number of girls=545
Step-by-step explanation:
total no. of students=940
let no. of girls=x+150
let no. of boys=x
x+(x+150)=940
x+x+150=940
2x+150=940
2x=940-150
2x=790
x=790/2
x=395
no. of boys=395
no.of girls=395+150=545
this is my answer.
Plz help ASAP I’ll give brainliest!
Answer:
It's 35 months old and weighs 82 kilograms
The data is given in x, y, so the answer will also go in the order x, y.
Hope this helps! :)
Gayle graphs the parabola (y + 1)2 = 12 (x – 3). How does she proceed? Drag a value, coordinates, equation, or word to the boxes to correctly complete the statements. Gayle identifies that the vertex of the parabola is The parabola opens and the focus is units away from the vertex. 1 The directrix is units from the focus. The focus is the point The directrix of the equation is TE <
Answer:
1. (3,-1)
2. Right
3. 3
4. 6
5. (6,-1)
6. x=0
Explanation: Took the test
Answer:
Step-by-step explanation:
What is the value of b? b=
Answer:
24
Step-by-step explanation:
Since the triangle is isosceles and the bisector is perpendicular, SV= VU
2b= b+24
b=24
9. Is the rate below a unit rate? Explain.
60 miles
3 gallons
Answer quick plzzz
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 20 miles/1 gallon would be the unit rate so NO 60 miles/3 gallons is not the unit rate
Explanation:
60 / 3 = 20
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
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Answer:
60/3=20
Step-by-step explanation:
hope this helps!
have a good day :)