Answer:
If IN = 5x – 15 and AT = 55, find x.
the answer is x=14
Step-by-step explanation:
The height, h metres, of a springboard diver above the surface of the water t seconds after she leaves the board is given by h=-5t-12+7. Find the maximum height reached by the diver? How long does it take for the diver to reach maximum height? Find the height of the diving board?
Answer:
[tex]h_{max} = 14.2m[/tex]
[tex]t = 1.2[/tex]
The height of the diver is 7m
Step-by-step explanation:
Given
[tex]h(t) =-5t^2 + 12t + 7[/tex]
Solving (a): The maximum height reached
First, we calculate the time to reach the maximum height using:
[tex]t = - \frac{b}{2a}[/tex] --- maximum of a function
Where
[tex]a = -5; b = 12; c = 7[/tex]
So, we have:
[tex]t = -\frac{12}{-2 * 5}[/tex]
[tex]t = \frac{12}{10}[/tex]
[tex]t = 1.2[/tex]
So, the maximum height is:
[tex]h(t) =-5t^2 + 12t + 7[/tex]
[tex]h(1.2)=-5 * 1.2^2 + 12 * 1.2 + 7[/tex]
[tex]h(1.2)=14.2[/tex]
Hence:
[tex]h_{max} = 14.2m[/tex]
Solving (b): Time to reach maximum height
This has been calculated in (a)
[tex]t = 1.2[/tex]
Solving (c): Height of the board.
This can be calculated by setting [tex]t =0[/tex] --- i.e. the height of the diver before diving
So, we have:
[tex]h(t) =-5t^2 + 12t + 7[/tex]
[tex]h(0) = -5 * 0^2 + 12 * 0 + 7[/tex]
[tex]h(0) = 7[/tex]
How many degrees are in the angle formed by the hands of the clock?
A, 9
B, 90
C, 180
D, 270
Answer:
90°
Step-by-step explanation:
15 mins = 1/4 of full circle
1/4 of 360 = 90
90°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
B, 90
Step-by-step explanation:
a right angle is exactly 90 degrees
Can some one help me please?
Answer:
i think its 4
Step-by-step explanation:
What is it called in cubic inch of a cylinder with a height of 4in and a base radius of 5in to the nearest tenths place?
Answer:
1,256.8in
Step-by-step explanation:
Given data
Height h =4in
Radius r= 5in
The expression for the volume of cylinder is
V=πr²h
Substitute
V=3.142*4²*5
V=3.142 *16*25
V=1,256.8in³
Jacob travelled 708 km on a bus in 8 hours. Alissa travelled 496 km on a
train in 5 hours. What was the speed per hour of the faster vehicle?*
99.2 km/h
62.0 km/h
141.6 km/h
88.5 km/h
Answer:99.2
Step-by-step explanation:
Speed = distance÷time
496÷5=99.2
can someone please identify one solution please?
Helppppppppppppppppppp I’ll mark you brainlist don’t respond if you’re going to put something random I will report you :)
Answer:
y would be 3
Step-by-step explanation:
x would be 0 since the line goes up, meaning it's positive, not negative btw
Which equation gives the sum of infinity sigma 6( 1/3) HURRY PLEASE
Answer:
3rd option
Step-by-step explanation:
The sum to infinity of a geometric sequence is
S = [tex]\frac{a}{1-r}[/tex]
where a is the first term and r the common ratio
The expression inside the summation is
6 [tex](\frac{1}{3}) ^{n-1}[/tex]
which is in the form of the nth term of a geometric sequence
with a = 6 and r = [tex]\frac{1}{3}[/tex] , then
S = [tex]\frac{6}{1-\frac{1}{3} }[/tex] ← expression required
= [tex]\frac{6}{\frac{2}{3} }[/tex]
= 9
Answer:
C I took the quiz
Step-by-step explanation:
IMA In a certain Algebra 2 class of 23 students, 7 of them play basketball and 12 of them play baseball. There are 9 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball
Answer:
19/28 or about 68%
Step-by-step explanation:
7 + 12 + 9 = 28
7 + 12/28
19/28
The length of a rectangle is 16 units more than it's with. The area of the rectangle can be expressed as x^4 - 64.
Answer:
[tex]Width = x^2 - 8[/tex]
Step-by-step explanation:
Given
[tex]L = 16 + W[/tex]
[tex]Area = x^4 - 64[/tex]
Required
An expression for the width
We have:
[tex]Area = x^4 - 64[/tex]
Express as difference of two squares:
[tex]Area = (x^2 + 8)(x^2 - 8)[/tex]
For all acceptable values of x,
[tex]x^2 + 8>x^2 - 8[/tex]
So:
[tex]Length = x^2 + 8[/tex]
[tex]Width = x^2 - 8[/tex]
( 2+ 3y)(2-3Y) pls help meeeeeeeeee
Answer:
4-9y^2
Step-by-step explanation:
(2+3y)(2-3y)
2*2
2*-3y
3y*2
3y*-3y
4-6y+6y-9y^2
4-9y^2
Answer:
[tex]4−9 {y}^{2} [/tex]
Step-by-step explanation:
[tex](2+3y)(2−3y)[/tex]
[tex]2(2−3y)+3y(2−3y)[/tex]
[tex]2 \times 2+2(−3y)+3y(2−3y)[/tex]
[tex]2 \times 2+2(−3y)+3y \times 2+3y(−3y)[/tex]
[tex]4−6y+6y−9 {y}^{2} [/tex]
[tex]4+0−9 {y}^{2} [/tex]
[tex]4−9 {y}^{2} [/tex]
Hope it is helpful...Sketch a graph of
y=3(x − 2)(x + 1) (x – 4)
ASAPP!
Answer:
Use the distributive property to multiply 3 by x−2.
y=(3x−6)(x+1)(x−4)
Use the distributive property to multiply 3x−6 by x+1 and combine like terms. y=(3x 2 −3x−6)(x−4)
Use the distributive property to multiply 3x 2 −3x−6 by x−4 and combine like terms. y =3x 3 −15x 2 +6x+24
Step-by-step explanation:
I also up a link there of a graph. Please tell me if you can open it. Hope this helps! :P
Does anyone know this ?
whats the sqaure root of 987
Answer:
31.4
Step-by-step explanation:
I NEED AN ANSWER ASAP!!!
Which of the following ordered pair are equal. a) (6,2) and (2,6)
SOMEONE HELP ME PLEASE
How many people worked in service jobs?
A. 1,898.40
B. 18,984
C. 189,840
D. 1,898,400
E. 18,984,000
Answer:
number of people work in service jobs
[tex]949 \: 200 \times \frac{20}{100} \\ 189 840[/tex]
answer is option C
Conrad borrowed $5 400 for a second-hand ATV
If his loan was over the course of 3 years at 17.6% compounded quarterly, how much money will he have to repay to cover his loan?
Select one:
a. $9 129.76
O b. $8793.85
O C. $9 226,64
O d. $9053.15
e. $8 903.41
Answer:
The answer is D
Can someone help me please
Answer:
Here you go
Step-by-step explanation:
BTW what is meant by point in the last blank?
Answer:
equation y = 3x-1
slope = 3
about the point blank I'm not sure what it is asking for
Help
Will give
Brainlist
:))).
Please help I am so confused lol. I’ll mark you the brainiest
Answer:
Since the pentagon is regular, the line connecting the centre of the circle to the verticles (A,B,C,D,E) should inscribe an equal angle in them
You can see what I mean in the attachment
So to mark other points we follow the following steps
Connect OAWith OA as base, make angle of 72°. Say th new line is OB. Similarly, do for the rest of themThis is a cyclic pentagonStep-by-step explanation:
Hope this helps... Pls vote as brainliest
I need help ill give you 15 points. no links or I will like report you.
all real numbers are greater than or equal to 2
3. Which number represents 5.33 written
533/100 then simplify
5 and 33/100
But that isn't an option and none of those options convert into 5.33, and I haven't been able to solve 3.75 repeating yet nor think it would convert into 5.33 anyhow. Please correct me if I'm solving this wrong.
Joseph is 5 feet 9 inches tall, and Roberto is
6 feet 4.5 inches tall. What is the difference in
height, in inches, between Roberto and
Joseph?
Answer:
7.5 inches
Step-by-step explanation:
If he is 5 feet 9 inches tall and Roberto is 6 foot 4.5 inches tall just count the inches until you get to 6"4
what is 2-78 please help me
Answer:
2-78=-76
hope it is helpful to you ☺️
Answer:
[tex]76[/tex]
Step-by-step explanation:
[tex]2 - 78[/tex]
[tex]-76[/tex]
Hope it is helpful....In the figure below, parallel lines AB and CD are cut by transversals AC and BD They intersect at E. Two angle measures are given. What is the measure of angle ABD?
20 points to help me
Answer:
Step-by-step explanation:
????????
Answer:
A : 146
Step-by-step explanation:
Since the lines AB and CD are parallel, we know that the angle opposite to BDC is also 34. To find ABD we can do 180-34 , which gives us 146
PLLEASEEE HELPPP!!! ILL BRAINLIST.
2) Using Pythagoras’ Theorem, which is the correct statement (A, B or C)
that describes the relationship between the three side lengths in this
triangle? Explain your choice.
A 262 = x2 + 242 B 242 = x2 + 262 C x2 = 242 + 262
Answer:
The answer is most likely C.
Step-by-step explanation:
Using the Pythagoras' Theorem, c^2 = a^2 + b^2
I'm not sure if 242 and 262 were 24^2 and 26^2 respectively but I'm using 24^2 and 26^2 for this answer.
The c^2 is in fact x^2 where x is the hypotenuse.
However, the answer could be A if x has to be whole number. In this case, x^2 + 24^2 = 26^2
x^2 = 26^2 - 24^2 = 100
x = sqrt (100) = 10
Solve for x: 1.5x - 8 = 7
PLS ANSWER
Answer:
x = 10Step-by-step explanation:
1.5x - 8 = 7
=> 1.5x = 7 + 8
=> 1.5x = 15
[tex] = > \frac{15x}{10} = 15[/tex]
[tex] = > x = 15 \times \frac{10}{15} [/tex]
=> x = 10 (Ans)
Answer:
x=10
Step-by-step explanation:
Simplifying
1.5x + -8 = 7
Reorder the terms:
-8 + 1.5x = 7
Solving
-8 + 1.5x = 7
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 1.5x = 7 + 8
Combine like terms: -8 + 8 = 0
0 + 1.5x = 7 + 8
1.5x = 7 + 8
Combine like terms: 7 + 8 = 15
1.5x = 15
Divide each side by '1.5'.
x = 10
Simplifying
x = 10
Find the midpoint of the segment with endpoints:
(9,8) and (3,5).
pls pls pls pls help!!!! for geometry final
Answer:
Step-by-step explanation:
here x1=9 y1=8 x2=3 y2=5
midpoint=(x2+x1/2 , y2+y1/2)
=(3+9/2 , 5+8/2)
=(12/2 , 13/2)
=(6 , 13/2)
Page
1) In which quadrant do the following point lie?
1) (-5,4), (ii)(4,-2) (iii) 7,2) (iv) (-3,-7)
Answer:
Step-by-step explanation:
(-5,4)=since x coordinate is negative and y coordinate is positive it lies on 2 nd quadrant.
(4,-2)=x coordinate is positive and y coordinate is negative so it lies on 4 th quadrant
(7,2)=both x coordinate and y coordinate are positive so they lie in 1 st quadrant.
(-3,-7) =both x and y coordinate are negative so they lie on 3 nd quadrant