Answer:
9.5 seconds.
Step-by-step explanation:
We know that the equation that represents the height of the penny as a function of time is:
h(t) = -16*t^2 + 1451
Where the height is in ft, and the time is in seconds.
a) We want to know how long takes the penny to hit the ground.
Well, the penny will hit the ground when its height is equal to zero.
Then we need to solve for t:
h(t) = 0 = -16*t^2 + 1451
0 = -16*t^2 + 1451
16*t^2 = 1451
t^2 = 1451/16 = 90.7
t = √90.7 = 9.5
This means that it takes 9.5 seconds to hit the ground.
Answer:9.5 seconds
Step-by-step explanation:you subtract
Find the value of x. Round to the nearest tenth
Answer:
36.869 or 36.87
Step-by-step explanation:
first, you find which trig function you are using. in this case, tangent.
then, you put calculate the arctan(3/4) which is 36.96989765
The measure of angle x = 36.9°
What is right triangle?"It is a triangle in which one of the angle measures 90° "
What is hypotenuse?"It is the longest side of the right triangle."
What is Pythagoras theorem?"In a right triangle [tex]a^{2}+ b^{2}= c^{2}[/tex] where c is the hypotenuse and a, b are other two sides of the right triangle."
What is sine angle?"In a right triangle, sine of angle [tex]\theta[/tex] is the ratio of the opposite side of angle [tex]\theta[/tex] to the hypotenuse."
For given question
First we find the hypotenuse of the right triangle.
Let 'h' be the hypotenuse of the right triangle.
Using Pythagoras theorem,
[tex]h^{2} =3^{2} +4^{2} \\\\h^{2} =9+16\\\\h^{2} =25\\\\h=5[/tex]
We find the sine of angle 'x'
[tex]\Rightarrow sin(x)=\frac{opposite~side~of~x}{hypotenuses} \\\\\Rightarrow sin(x)=\frac{3}{5}\\\\ \Rightarrow sin(x)=0.6\\\\\Rightarrow x=sin^{-1}(0.6)\\\\\Rightarrow x=36.9^{\circ}[/tex]
Therefore, x = 36.9°
Learn more about the sine angle here:
https://brainly.com/question/13256520
#SPJ2
How much money would produce $70 as simple interest at 3.5% per
annum?
Answer:
$2000
Step-by-step explanation:
Simple Interest = $70
Rate = 3.5%
Time = 1
Principal = ?
Simple Interest = (Principal × Rate × Time)/100
Principal = (Simple Interest × 100)/(Rate × Time)
Principal = (70 × 100)/(3.5 × 1)
Principal = 7000/3.5
Principal = 14000/7
Principal = 2000
Help ASAP please!!!!!
51in
Step-by-step explanation:
15x5=75
8x3=24
75-25=51
Answer:
hi
Step-by-step explanation:
the area of the little rectangle:
3 in × 8 in= 24 in
tge area of the shaded ragion:
5in × 15in =75in
75in - 24 in=51 in
hope it helps
have a nice day
PLEASEEEEE ILL MARK BRAINIEST
Answer:
5. 18 that is what i think the answers are
6. 13.75
5 2 11 8 35 32
Which graph shows a function where f(2)=4?
Answer:
A
Step-by-step explanation:
Answer:
the one that is a horizontal straight line on x axis that lies on 2
Excuse me, for the person who answers this right I will brain list. (if you can't quiet understand the question, I left an image)
Complete: For the function ()=−2‾‾‾‾‾√3, the average rate of change to the nearest hundredth over the interval −2 ≤ x ≤ 4 is ______.
Answer: It is 3.>9
Step-by-step explanation:
because i dont know
EH is a diameter is D. The measure of EF is (10x + 8) and the measure of GH is (11x). What's the value of X
Answer:
x = 5°
EF = 58°
GH = 55°
Step-by-step explanation:
From The diagram :
Recall ; Angle on a straight line = 180°
This means :
EF + FG + GH = 180
EF = (10x + 8)°
GH = (11x)°
FG = 67°
HENCE;
10x + 8 + 11x + 67 = 180
21x + 75° = 180°
21x = 180 - 75
21x = 105
x = 105 / 21
x = 5
EF = 10x + 8 = 50 + 8 = 58°
GH = 11x = 11 * 5 = 55°
Solve for x.
x = ln e
x =
Answer:
x = 1
Step-by-step explanation:
What is the best definition for “sample” as used in statistics?
the entire population of the group
a part of the population that represents the entire population
the difference between the maximum and minimum values observed
a measure of how much the values within a population vary
Answer:
a part of the population that represents the entire population
Step-by-step explanation:
Answer:
I think it is the second option
I hope it helps you
Given that MN = 5, NO = 12, and MO = 13, find cos O.
Answer:
12/13
Step-by-step explanation:
Given that MN = 5, NO = 12, and MO = 13, find cos O.
Since the reference angle is P, hence;
MN is the opposite = 5
MO is the hypotenuse = 13 (longest side)
NO is the adjacent = 12
Cos O = adj/hyp
Substitute the given values
Cos O = 12/13
Hence the value of Cos O is 12/13
Solve for x. 1/2x - 1/4 = 1/2
Answer:
x = 3/2
Step-by-step explanation:
Simplify this equation by dividing all three terms by 1/4:
2x - 1 = 2, or
2x = 3
Then x = 3/2
What is the image of (-10,-8) after a dilation by a scale factor of 1/2 centered at the
origin?
Answer:
(-5, -4)
Step-by-step explanation:
A dilation at the origin would just result with you multiplying the coordinates by the scale factor.
-10 * 1/2 and -8 * 1/2
hi please help i’ll give brainliest
Answer:
Choice D
Step-by-step explanation:
I believe that it is Choice D. Due to the fact that the moons orbit around Earth is inclined around 5 degrees, not allowing an eclipse to happen every New or Full Moon. Most of the time, the Sun, Earth, and Moon don't line up precisely enough to cause an eclipse.
Find the area of each trapezoid. Write your answer as an integer or a simplified radical
Answer: there is no picture
what equation passes through (6,3) and is parrallel to y=3x+5
Answer:
y=3x+25
Step-by-step explanation:
For the equation y=3x+5, the slope is 3. Since the line will be parallel to it then this is the slope of the new line as well. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-13)=3(x--4)
y-13=3x+12
y=3x+25
Line with a slope of -3 and passes through
point (-1,7)
Answer:
y=-3x+5.5
Step-by-step explanation:
The answer is Y=-3x+5.5 because we already know the slope which is -3. Now all you have to do is change the Y-Intercept. As you can tell the Y-Intercept is not a whole number. So you have to change it to a decimal to get the point that you want. You can put the last part of the equation as 5.5 or 5.55. It doesn't matter but 5.5 is more official. If you find any fault in my answer let me know. Thanks. Have a good day!
if h(x)=3^x then h (-4) =
Answer:
1/81
Step-by-step explanation:
In h(x)=3^x, replace each instance of x with -4:
h(-4) = 3^(-4), or
1
h(-4) = ----------- = 1/81
3^4
[tex]\huge{\mathbb{\tt { PROBLEM:}}}[/tex]
if h(x)=3^x then h (-4) =
[tex]\huge{\mathbb{\tt { ANSWER:}}}[/tex]
[tex] \frac{1}{81} [/tex]
[tex]\huge{\mathbb{\tt { EXPLANATION:}}}[/tex]
In h(x) = 3^x , you must replace each instance of with -4:
h(-4)=3^(-4)
[tex]h(4)= \frac{1}{3^4} = \frac{1}{81} [/tex]
#CarryOnLearning
#LetsEnjoyTheSummer
→X x K i m 0 2 x XSolve Systems of Equations Algebraically.
y=x-8
y=5x
Answer:
(- 2, - 10 )
Step-by-step explanation:
Given the 2 equations
y = x - 8 → (1)
y = 5x → (2)
Substitute y = 5x into (1)
5x = x - 8 ( subtract x from both sides )
4x = - 8 ( divide both sides by 4 )
x = - 2
Substitute x = - 2 into either of the 2 equations for y
Substituting into (1)
y = - 2 - 8 = - 10
solution is (- 2, - 10 )
please answer ASAP AFAP PLEASE PLEASE ANSWER RIGHT OR I'LL REPORT YOU TO BRAINLY . but on the other hand if you answer correctly I'll just give you brainliest, and go to your profile and thank you and give you a 5 star rating!
Answer:
The answer is B. 4.4 oz.
Step-by-step explanation:
What do we know? We have the 6-pack of 12-ounce bottles and they cost $2.99, we also know that the other bottle 67.6 ounces that also costs $2.99.
Forgot the money, we're just going to be looking at the ounces.
First, we take the 6-pack and multiply by 12 because we want the size as one, rather than seperate. 6 x 12 = 72
The question is asking how many more ounces are you getting if you purchase the 6-pack. In order to do this, we take the 72 ounces that we got and subtract that 67.6 ounces of the other drink. 72 - 67.6 = 4.4
The ounces saved are 4.4 ounces.
John’s friend told him that he could earn $25 for handing out flyers at a local concert. John wants to calculate the hourly rate. If he works a total of 2 hours, the equation 2x=25 can be used to determine his hourly rate. What would John’s hourly rate be, in dollars?
A
$12.50
B
$23
C
$27
D
$50
Answer:
D
Step-by-step explanation:
What method did you use? Why? Solve. for x: 47° 13
Answer:
Step-by-step explanation:
Givens
You have the hypotenuse: 13
You seek the adjacent side: x
You have the angle enclosing the 2: 47 degrees.
The relationship is the Cosine
Solution
Cos(47) = opposite / hypotenuse
Cos(47) = 0.6820 From your calculator
Cos(47) = x / 13 Multiply both sides by 13
13*cos(47) = x
x=8.866
Using the information from the previous question, find the equation in standard form for the area of the fenced-in section in terms of the length of the field.
(area = length • width)
Answer:
y = x2 − 500x + 60,000
Step-by-step explanation:
area of the fenced-in section = length • width
y = (x − 200)(x − 300)
= x² − 300x − 200x + 60,000
= x² − 500x + 60,000
How much Interest(in dollars) is earned by Investing $2200 at a simple interest rate of 8% for 12 years? Write the correct answer.
A = $4,312.00
I = A - P = $2,112.00
hey!
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 8%/100 = 0.08 per year.
Solving our equation:
A = 2200(1 + (0.08 × 12)) = 4312
A = $4,312.00
The total amount accrued, principal plus interest, from simple interest on a principal of $2,200.00 at a rate of 8% per year for 12 years is $4,312.00.
-------------------------------------------------
have a good day! hope i helped in some way
The table below shows the relationship between the number of teaspoons of baking powder in a mix and the height of fudge brownies in centimeters. Which equation represents the height of fudge brownies with x teaspoons of baking powder?
Making Fudge Brownies
Baking Powder (tsp) 5 6 7 8
Height of Brownies (cm) 2.15 2.43 2.71 2.99
A.
y = 0.28x + 0.75
B.
y = 0.75x +0.56
C.
y = 0.75x + 0.28
D.
y = 0.56x + 0.75
Answer:
A.
y = 0.28x + 0.75
Step-by-step explanation:
Check all that applies using teaspoons of baking powder, x = 5
A.
y = 0.28x + 0.75
When x = 5
y = 0.28x + 0.75
= 0.28(5) + 0.75
= 1.4 + 0.75
y = 2.15
B.
y = 0.75x +0.56
When x = 5
y = 0.75x +0.56
= 0.75(5) + 0.56
= 3.75 + 0.56
= 4.31
C.
y = 0.75x + 0.28
When x = 5
y = 0.75x + 0.28
= 0.75(5) + 0.28
= 3.75 + 0.28
= 4.03
D.
y = 0.56x + 0.75
When x = 5
y = 0.56x + 0.75
= 0.56(5) + 0.75
= 2.8 + 0.75
= 3.55
The equation represents the height of fudge brownies with x teaspoons of baking powder is
y = 0.28x + 0.75
HELP
I WILL GIVE YOU BRAINLIEST
Give the solution to this quadratic.
y = 3(x-1)^2
Answer:
y=3x^2-6x+3
Step-by-step explanation:
Ethel had 4 feet of ribbion she used 1 1/2 feet for a craft project how many feet of ribbon does she have left
Please help I need this quickly
Answer:
31 degrees
Step-by-step explanation:
1. since angle x and angle y are congruent, and segment xw and segment yw are congruent, you can assume that angle xzw and angle wzy are also congruent.
2. set angle xzw and angle wzy equal to each other
8x-1 = 5x+11
3. combine like terms
3x = 12
4. simplify to find the value of x
x = 4
5. plug x into the equation to find the degree of angle wzy
5(4)+11
20+11
=31 degrees
Can someone please help me with 1-9
Answer: 1. No because there are no numbers to solve it. 2. Yes, has numbers. 3.Yes, has numbers. 4.No because there are no numbers to solve it. 5. not sure 6.not sure 7. not sure 8.not sure 9. not sure
Step-by-step explanation:
Help me please it’s due today
can you guys help me please as much as you can ^^
Answer:
Step-by-step explanation:
m<1 = 50
m<2 = 22
m<3 = 108
m<4 = 50
m<5 = 65
m<6 = 50
m<7 = 43
m<8 = 65
m<9 = 75
m<10 = 18
m<11 = 25
m<12 = 40
m<13 = 115
m<14 = 65
m15 = 115
