Answer:
Step-by-step explanation:
Given the equation for the object's height s at time t seconds after launch is
s(t) = -4.9t^2 + 18.4t + 36.8
Since are not asked what to look for, we can as well lok for the time taken for the ball to hot the ground. The ball hits the ground at when s(t) = 0. The equaton becomes:
0 = -4.9t^2 + 18.4t + 36.8
Multiply through by -10
49t^2 - 184t - 368 = 0
factorize the resulting expression
t = 18±√184²-4(49)(-386)/2(49)
t = 18±√338564+75656/78
t = 18±√414220/78
t = 18±643.599/78
t = 661.559/78
t = 8.48secs
Hence the object reaches that ground after 8.48seconds
tracie speaks 30 words in 45 seconds, at that rate approximately how many words will tracie speak in 120 seconds?
Tracie would speak approximately 80 words in 120 seconds.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
We can use proportions to solve this problem.
If Tracie speaks 30 words in 45 seconds, then we can set up a proportion to find out how many words she would speak in 120 seconds:
30 words / 45 seconds
= x words / 120 seconds
Now,
45 seconds x (x words) = 30 words x 120 seconds
45x = 3600
x = 80
Therefore,
Tracie would speak approximately 80 words in 120 seconds.
Learn more about unit rates here:
https://brainly.com/question/11258929
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Tanisha weighed a wooden block that was labeled 253.8 grams, and found that it actually weighed 235 grams. What was the percent error in the labeling of the block? ( Round to the nearest 10th of a percent. )
Answer:
8%
Step-by-step explanation:
If the block weighs 235 grams, we can do (253.8-235)/235=18.8/235=0.08. Because it's percent, we need to multiply by 100, so the answer is 8%.
7k-35=5(1+2k)+2k
Can you solve the question
Answer:
7k-35=5+10k+2k
or, 7k-35=5+12k
or, -35-5=12k-7k
or, -40=5k
or, k=-40/5
Therefore, k=-1/8
Which equation is a step in solving the equation 5 - 3x + 2 = 19?
A.
15 - 3x1 = -17
B.
15 + 3x1 = 17
c.
5 + 3x = -17
D.
5 - 3x = -17
Answer:
D. 5-3x = 17
Step-by-step explanation:
The step carried out was subtracting 2 from both sides.
[tex]5 - 3x + 2 = 19 \\ 5 - 3x + 2 - 2 = 19 - 2 \\ 5 - 3x = 17[/tex]
You are holding a kite string in your hand. The angle of elevation from your hand to the kite is 57⁰ and the distance to the kite is 300 feet. Your hand is 5 feet above the ground. How high is the kite? Round your answer to the nearest tenth of a foot.
Answer:
256.6 feet
Step-by-step explanation:
First, I recommend drawing a picture for problems like this. See attached for my example!
-> What does the "angle of elevation" mean? In summary, if your hand has a line going out in both directions horizontally from it, it is the angle "up" to the kite.
Now, let us find out what formula(s) we will use to solve this problem.
-> We have two of the angles (so we can easily find the third) as well as the hypotenuse
-> We are solving for one of the legs, then adding five feet to it
-> I think I will use the 57° angle and the sine function since we have the hypotenuse and are solving for the opposite side (to the angle 57°)
Lastly, we will solve! First, I will find the length of the opposite side to the 57° angle.
sin(θ) = [tex]\frac{opposite}{hypotenuse}[/tex]
sin(57°) = [tex]\frac{x}{300}[/tex]
300sin(57°) = x
251.6 ≈ x
x ≈ 251.6 feet
Now we will add 5 feet to 251.6 since your hand is 5 feet above the ground.
251.6 + 5 = 256.6
The measure of the angles are shown in the figure below solve for x
Answer:
x = 67°
Step-by-step explanation:
The little square in the corner represents 90° because it is a right-angle.
All angles in a triangle add up to 180°.
90° + 23° = 113°
180° (total) - 113° (whats already there) = 67° (x)
I hope this helps. If you need further explanation, let me know.
- profparis
Simplify by combining like terms:
5a + 2b - 3b + 4
What is 2.803 to the nearest half
Answer:
2.8
Step-by-step explanation:
Answer:
Step-by-step explanation:
1.401.2 simplify that and there you go
In ΔFGH, GH = 14, HF = 13, and FG = 15. Which list has the angles of ΔFGH in order from largest to smallest?
Answer:
HF, GH, FG largest to smallest
Step-by-step explanation:
HFGHFG
Find the volume of the cylinder.
either enter an exact answer in terms of t or
use 3.14 for t.
There is no image, but the formula you would use is h[(3.14r)^2] where h is the height, r is the radius, and 3.14 stands for pi.
What is the proportional relationship represented by this table?
Answer:
the constant of proportionality is 0.2 and it is a proportional relationship
Step-by-step explanation:
2 divided by 10 is 0.2
1 divided by 5 is 0.2
they have the same answer so they are proportional
since they have the answer 0.2 it
is there constant of proportionality
Solve the following:
a
4x - 3 = 2x + 7
what does x equal
Answer:
x=5
Step-by-step explanation:
4x-3=2x+7
4x-2x-3=7
4x-2x=7+3
2x=10
2x/2 10/2
x=5
Answer:
x=5
Step-by-step explanation:
So we have to combine like terms
4x-3=2x+7
-2x -2x
2x-3=7
+3 +3
And now simplify
2x=10
/2 /2
x=5
Can anyone help me please
Hi!!! This is a sheet of angles of triangles, I currently don’t understand this very well and need help thank you:)
Step-by-step explanation:
sum of angles in a triangle
using substitution, how do you solve the simulateous equations y=3x+2 and y=x+6 ?
Answer:
X = 2
Step-by-step explanation:
y = 3x +2
y = x + 6
x + 6 = 3x + 2
6 = 2x + 2
4 = 2x
x = 2
What is the graph of each function rule? 4. Y=|x|-1
Answer:
Step-by-step explanation:
__________________
X |_-2_|_-1_|__0_|_1_|_2_|
Y |_1_|__0_|__-1_|_0_|_1_|
X=-2 => y=2-1=1
X=-1=> y=1-1=0
X=0=> y=0-1=-1
X=1=> y=1-1=0
X=2 => y=2-1=1
..........
X=10=> y=10-1=9
X=-10=> y=10-1=9
=> (0,+∞]
A six-sided die is rolled 2 times. What is the fractional probability of rolling different numbers?
Answer:
The probability of getting 6 the first time and an even number the second time is 1/12.
what is probability?
probability is the quantification of possibilities in numbers.
(1) probability of rolling a 6 for the first time:
total possible outcomes = (1,2,3,4,5,6) =6
sample space = 1
probability of getting 6 = sample space/total possible outcomes
probability of getting 6 = 1/6
2)probability of getting an even number
total possible outcomes will be (1,2,3,4,5,6)
sample space = (2,4,6) ie 3
probability of this = 3/6 = 0.5
total probability = 1/6*0.5 = 1/12
therefore,
The probability of getting 6 the first time and an even number the second time is 1/12.
to get more about probability refer to:
Step-by-step explanation:
The entire rectangle below has an area of 68ft squared.
Find the area of the shaded triangle. Be sure to include the correct unit in your answer.
Answer:
34ft squared
Step-by-step explanation:
Since the shaded area is half of the whole rectangle, it would be half of 68. 68/2 = 34, therefore the shaded area is 34ft squared.
6x2y – 2x2y – 10x2y + 8x2y =
Answer:
4y is your answer........
Help!! Thank you so much beforehand!
First, let's take a look at the larger polygon. The topmost side is 7 units long. Now, let's look at the small polygon. The topmost side is 1 unit long.
These polygons differ by a scale factor of 1/7.
7 * (1/7) = 1
49 * (1/7) = 7
Now, we know that x = 7.
The larger polygon has side lengths of 7, 49, 7, 49
The smaller polygon has side lengths of 1, 7, 1, 7
A book costs $ 67. How much will be paid for 102 such books?
The cost of one book = $ 6 7
Number of books = 1 0 2
The cost of 102 books = $ 67 × 102
= $ 6834
Therefore, cost of 102 books = $ 6834
Answer:
$6,834
Step-by-step explanation:
Given:
cost of one book = $67Total cost = number of books × cost of one book
= 102 × $67
= $6,834
I need help ASAP, square root of 11
Answer:
The square root of 11 is 3.31662479
Answer
3.317
hope this helped
helppppp
can someone answer this?
Answer:
y=(x-3)^2-2
Step-by-step explanation:
We can see in the graph that the value of y for 1 its 2, so we have to test each equations to see which one is going to give us a 2 whit 1 as the x
-(1-3)^2-2=6 -(1=2)^2-3=-12(1-3)^2-2=2(1+2)^2-3There were 235 more red balloons than green balloons at a party. After 4/5 of the red balloons and 3/4 of the green balloons burst, there were 92 balloons left. How many balloons were there altogether?
So we know that the difference is 235.
And a red and green put together is 92 balloons * 5.
So 5 red and green balloons put together is 460, or 92*5.
460-235=225
225/9=25
92-25=67
So 5*67 and 4*25 is 435.
Your final answer should be 435 balloons in total.
HELP!!! WILL MARK BRAINLIST!!!! AND A 5 STAR REVIEW!!! AND A THANKS
Rewrite 32 as 32/1
1/4 x 32/1
To multiply 2 fractions, we multiply the nominators together, and the denominator together
1/4 x 32 = 1/4 x 32/1 = 1x32/4x1 = 32/4
Simplify as 8.
So, 1/4 x 32 = 8
Michaela spent $234 preparing for a party with 18 guests. Each guest costs the same amount of money. How many guests could attend a party that cost $104 to prepare?
Answer:
8 people
Step-by-step explanation:
234 divided by 18 is 13.
104 divided by 13 is 8.
Dave is comparing the circumferences of several trees in his yard. The oak tree is 0.539 meters in circumference, the ash tree has a circumference of 0.509 yards, the elm tree is 6281.70 millimeters around, and the poplar has a circumference of 0.000385 miles. There are 30.48 centimeters in a foot. Which tree has the greatest circumference?
a.
oak
b.
ash
c.
elm
d.
poplar
Answer:
Dave is comparing the circumferences of several trees in his yard. The oak tree is 0.539 meters in circumference, the ash tree has a circumference of 0.509 yards, the elm tree is 6281.70 millimeters around, and the poplar has a circumference of 0.000385 miles. There are 30.48 centimeters in a foot. Which tree has the greatest circumference?
a.
oak
b.
ash
c.
elm
d.
poplar
Answer:
Step-by-step explanation:
a.
oak
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
hope it helps rex
What is the verbal expression for 8+n
Answer:
eight plus n
Step-by-step explanation:
8 = said as "eight"
+ = said as "plus"
n = said as "n"
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Answer:
The verbal expression would be 8 plus a number
Step-by-step explanation:
Hope this helps~
Dave wants to put a wooden frame around a mirror. The height of the mirror is 10 inches shorter than three times its width. Which equation represents the perimeter of the mirror, P, in terms of its width, w?
P=2(w + 3w - 10)
P=2(w - 3w – 10)
P=2(w + 3w + 10)
P=2(w – 3w + 10)
Answer:
the correct equation to this statement is going to be c
two sides of rectangle are (2x + 5xy) and (-7x - 10xy ). Find its perimeter
Answer:
-10x (1 - y)
Step-by-step explanation:
Given :-
Side 1 = (2x + 5xy)
Side 2 = (-7x - 10xy)
To Find :-
Perimeter
Formula :-
Perimeter (rectangle) = 2 (Side 1 + Side 2)
Solving :-
Perimeter = 2 (2x + 5xy - 7x - 10xy)
= 2 (-5x - 5xy)
= -10x (1 - y) => [Solution]
Step-by-step explanation:
perimeter: 2 (2x+ 5xy+(-7x-10xy)
= 2(2x+5xy-7x-10xy)
= 4x+10xy-14x-20xy
= -10x-10xy
= -10x(1+y).
Answer: -10x(1+y)