Answer:
55.9 feet
Step-by-step explanation:
Basically you can just plug in what they give you
givens:
V=60 ft/sec
a= 32.2 ft/sec^2
function to find velocity: [tex]V=\sqrt{2ha[/tex]
if you plug everything in: [tex]60=\sqrt{2(h)(32.2)[/tex]
you can just put that equation into a website and ask it to solve for h which would give you your answer
but, if you want the work,
FIRST square both sides of the equation to get rid of the square root symbol on the left so,
[tex]60^{2} =\sqrt{2(t)(32.2)} ^{2}[/tex]
which cancels out to
[tex]3600= 2(t)(32.2)[/tex]
NEXT: divide both sides by 32.2 to get 2t by its self so,
[tex]\frac{3600}{32.2} =\frac{2(t)(32.2)}{32.2}[/tex]
which should get you to
[tex]111.80124223=2(t)[/tex]
LAST: divide both sides by 2 to get t by itself so
[tex]\frac{111.80124223}{2} =\frac{2(t)}{2}[/tex]
and you should end up with
55.900621 = t
which rounded would be an answer of
t= 55.9 feet
Answer:
YUP IT IS 55.9
Step-by-step explanation:
I don't got an explanation, but I can say that I got 100 on my quiz.
You borrow $7000 to help pay your college expenses. You agree to repay the loan at the end of 7 years at 9% interest, compounded quarterly. (Round your answers to two decimal places.)
(a) What is the maturity value of the loan?
Answer:
?
Step-by-step explanation:
So first, you need to multiply 7 by four to get the quarterly part of it, which will be 28. Then, multiply 9% (.9) by your 28 to get 25.2. Finally, multiply that by 7,000 to get 176,400...
Evaluate the expression: ab + 2 – 1 Use a = 3 and b = 4
Answer:
[tex]ab + 2 - 1 = ab + 1 \\ a = 3 \\ b = 4 \\ then \: 3 \times 4 + 1 \\ = 12 + 1 = 13 \\ thank \: you[/tex]
Use the diagram to find the angle measures
of the triangle. Recall that the sum of the
angle measures of a triangle is 180°
2x
(x+8)
x°
(x+8)° = °
2x =
(SOMEONE PLEASE ANSWER)
Answer:
x°=43°
2x°=86°
(x+8)°=51°
Step-by-step explanation:
x+2x+x+8=180°[being sum of the angles of triangle]
or, 4x+8=180
or, 4x=180-8
or, 4x=172
or, x=172/4
or, x=43°
Then,
2x=2×43°=86°
(x+8)°=(43+8)°=51°
Please mark me brainliest.
Terrell Davids' charge account statement shows an unpaid balance of $110.00. The
monthly finance charge is 2 percent of the unpaid balance. What is the new account
balance?
Answer:
Step-by-step explanation:
New Balance = 110 + 110*2/100
New Balance = 110 + 2.20
New Balance = 112.20
SOMEONE PLS HELP will mark brainliest
Answer:
f(t)=-16t^2+8t+2
Step-by-step explanation:
Take the initial velocity(8)put in for vt. Then take height(2) and put in for s. giving you the equation. f(t)= -16t^2+8t+2
Translate into a variable expression. c less than 33
Answer:
33 - C
Step-by-step explanation:
What is 596 in Roman Numerals?
The answer you are looking for is DXCVI.
D=500.
X=10.
C=100.
V=5.
I=1
Solution:
So,
500+(100-10)+5+1
500+90+5+1
596
Therefore, DXCVI=596.
Answer:
596 in Roman Numerals should be DXCVI
5,356+2,398
=(5,356+2)+ (2,398 + 2)
5,358+2400=7,758
is kElly's answer correct? what mistake did she make?
Answer:
No because she added 2 instead of 2398. She thought the 2 was separate because of the comma separating the 2 thousand. She also made a mistake by thinking she could add easily by adding 2 to 2398 to make 2400.
The addition of the given numbers is 7,758.
Use the concept of addition defined as:
In mathematics, addition is an arithmetic operation that combines two or more numbers to produce a sum.
It is a fundamental operation used to calculate the total or the result of combining quantities. When adding numbers, you start with the first number, and then incrementally add subsequent numbers to obtain a final sum. The order in which numbers are added does not affect the result, thanks to the commutative property of addition.
This fundamental concept of addition forms the basis for more advanced mathematical operations and problem-solving techniques.
The given numbers are:
5,356+2,398
Now simply add these numbers:
5 3 5 6
+2 3 9 8
7 7 5 4
Hence,
The addition of the given numbers is 7,758.
To learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ3
Solve for r: 3r+2-r=-4
Answer:
r = -3
Step-by-step explanation:
3r + 2 - r = -4
2r + 2 = -4
2r = -6
r = -3
Answer:
r = -3
Step-by-step explanation:
3r + 2 - r = -4 (Given)
2r + 2 = -4 (Simplify)
2r + 2 - 2 = -4 - 2 (Subtract 2 on both sides)
2r = -6 (Simplify)
2r/2 = -6/2 (Divide 2 on both sides)
r = -3 (Simplify)
If the scale on a map shows 1 in. = 100 mi., and you determine that two cities are 5.5 in. apart, how many actual miles is this? Question 11 options: 55 mi. 550 mi. 0.005 mi. 5.5 mi.
Answer:
550 mi. !!!!
Step-by-step explanation:
Answer: 550 miles
Work Shown:
1 in = 100 mi
5.5*(1 in) = 5.5*(100 mi) ..... multiply both sides by 5.5
5.5 in = 550 mi
evaluate the expression when x=3
Answer:
2. 12
5. 30
Step-by-step explanation:
Put 3 instead of x
2. [tex]\frac{36}{x}[/tex]
= [tex]\frac{36}{3}[/tex]
= 12
5. 10x
= 10 × 3
= 30
Trent buys a new smartphone. The total cost is $599.40, but he pays in equal monthly payments of $33.30. How many months will it take Trent to pay off the smartphone?
how many months?
Deborah needs fabric for her costume. She buys 3.25 yards of material at $5.87 a yard. Question: What is the total cost of the fabric? Round to the nearest cent (hundredths place). You must show your work to receive all possible points. Note: Enter your answer and show all of the steps that you use to solve this problem in the space provided
Answer:
so you basicly divided 5.87 to 3.25
Step-by-step explanation:
do this : 5.87/3.25= your answer
Postcards cost $2.50 for six.
What's the price for 1 postcard?
Answer:
about 41 cents
Step-by-step explanation:
4. A craft store offered sewing classes on 12 of the 30 days in November.
What decimal is equivalent to the fraction of days in Movember that classes were
offered at the restaurant?
A
0.4
C. 0.5
B.
0.6
D. 0.3
Answer:
A. 0.4
Step-by-step explanation:
Write 12 of 30 as a fraction:
12/30
Convert this to be a fraction over 100 by setting up an equation:
Variable x = proportional answer to 12/30
12/30 = x/100
Cross multiply:
12 × 100 = 30 × x
1200 = 30x
40 = x
40/100
Convert this number into a decimal by adding a zero and decimal point before the "4" in 40:
0.40
Simplify:
0.40 = 0.4
I converted it into a decimal through the use of fractions, but you can also find the answer by doing long division: 12 ÷ 30. However, showing work for long division over a message is too complex so I solved the problem this way instead.
can someone pls give answer to number 4
Step-by-step explanation:
Supplement= 180°- 13°
167° Answer
Answer:
167°
Step-by-step explanation:
Supplementary angles, by definition, when combined will give a total angle measurement of 180°.
One of the given angle measurements is 13°. Subtract 13 from the total, 180:
180 - 13 = 167°
167° is the supplement angle.
~
can someone help me please
Answer:
The equation in y = mx+b form is y = (4/3)x - 20/3
The equation in Ax+By = C form is 4x - 3y = 20
There are other ways to express the second equation.
==============================================================
Explanation:
First we must complete the square for x and y.
This will get the equation into (x-h)^2+(y-k)^2 = r^2 form so we can determine the center.
x^2+y^2 - 8x-14y + 40 = 0
(x^2-8x) + (y^2-14y) + 40 = 0
(x^2-8x+16 - 16) + (y^2-14y+49-49) + 40 = 0
(x^2-8x+16) + (y^2-14y+49) + (-16-49+40) = 0
(x-4)^2 + (y-7)^2 = 25
(x-4)^2 + (y-7)^2 = 5^2
This circle is centered at (h,k) = (4,7) and it has radius r = 5.
----------------------
Next, we need to find the slope of line AB such that
A = (4,7) = center of the circle
B = (8,4) = point on the circle, which is the point of tangency
m = slope
m = (y2-y1)/(x2-x1)
m = (4-7)/(8-4)
m = -3/4
The slope of line AB is -3/4. Any perpendicular slope will have us do two things:
flip the fractionflip the signthat would get us from -3/4 to +4/3 or just 4/3.
The perpendicular slope is 4/3.
----------------------
So we must find the equation of the line with slope m = 4/3 and it goes through (x,y) = (8,4)
That means,
y = mx+b
4 = (4/3)*8 + b
4 = 32/3 + b
4 - 32/3 = b
12/3 - 32/3 = b
(12-32)/3 = b
-20/3 = b
b = -20/3
Therefore, the equation of the tangent line is y = (4/3)x - 20/3
Optionally, we can get this equation into standard form like so
y = (4/3)x - 20/3
3y = 4x - 20 ... multiply everything by 3
3y-4x = -20
-4x+3y = -20
4x - 3y = 20
The diagram is shown below.
In the figure, x= ?, y= ?, and z= ?
Answer:
x = 95
y = 147
z = 128
Step-by-step explanation:
x can be found by using the exterior angle triangle theorem, where, when you add the two opposite angles, it equals the measure of the exterior angle. In this case, 50 + 45 = 95.
The same theorem can be used to solve for y. 95 + 52 = 147
We see that angle z is composed of a linear pair, and we have one of the angle values, so just do 180 - 52 and you get 128.
through : (- 5, - 5); slope = 3/5
Answer: y + 5 = 3/5 (x + 5)
Concept:
There are four general forms of equations:
Slope-intercept form: y = mx + b Point-slope form: y - y₁ = m (x - x₁) Standard form: Ax + By = C Intercept form: x/a + y/b = 1Here, we are going to use the point-slope form because the question has given us both the slope and one point.
Solve:
**Disclaimer** Since the question did not clarify, thus, I choose to use the point-slope form as it is the easiest method. However, if the question has a specified form of the equation, please tell me and I will redo it.
Given information
(x₁, y₁) = (-5, -5)
m = 3/5
Given expression
y - y₁ = m (x - x₁)
Substitute values into the expression
y + 5 = 3/5 (x + 5)
Hope this helps!! :)
Please let me know if you have any questions
Help please due today
The copy is the exact same as the original, so the scale factor would be 1.
The answer is the first choice
Simplify the following expression and show your work in details please .
Answer:
[tex]4m + 5 - 3m \\ = 4m - 3m + 5 \\ = 1m + 5 \\ = (m + 5)[/tex]
Given the expression:
[tex] \displaystyle \large{4m + 5 - 3m}[/tex]
To simplify the expression, notice that 4m and 3m have the same term.
These are called like terms. Let's see some examples of like terms.
x and 58x both are like terms because they have same x.90y and 35664y both are also like terms because they have same y.Then we also have the example of non-like term
50 and x both are not like terms because 50 is a constant and not a variable and x is not a number.920x and 790y both are not like terms because both have different variables.x and x^2 are not like terms as well because different degrees.In conclusion,
like terms have to be the same term and same degree.And that brings us to this topic, to evaluate or simplify the expression with two like terms and one non-like term.
Note that only like terms can evaluate. Let's see some examples:
5x+9x would be 14x since they are like terms and thus can be evaluated.x+x would be 2x. x is equivalent to 1x so 1x+1x = 2x. They are also like terms as well.How about a subtraction?
9x-2x would be 7x. x-x would be 0.10y-7y would be 3y.But what if it's non-like terms? Simple, we keep it like that!
8y+8z would be the same. They are not like terms so they cannot be evaluated.10x-7 would be the same as well. Not like terms.So to simplify the expression in the question, we evaluate like terms first!
Since 4m and 3m both are like terms. We can do 4m-3m.
[tex] \displaystyle \large{4m + 5 - 3m} \\ \displaystyle \large{4m - 3m + 5} [/tex]
Evaluate 4m-3m
[tex] \displaystyle \large{1m + 5} [/tex]
We don't usually write 1m so we keep as m instead.
[tex] \displaystyle \large{m + 5} [/tex]
Now, can we evaluate m+5? No, because m and 5 are not like terms so we keep like this.
Hence, the answer is m+5
Help!
Find the value of x for which ABCD must be a parallelogram.
hen comparing more than two treatment means, why should you use an analysis of variance instead of using several t tests
I need it help to find which statement is true ASAP!
Answer:
The first option
Step-by-step explanation:
If you check the first one we can verify that WX and ZY are perpendicular as shown with the 90 degree mark then we can see that WX is parallel with AB.
Find the value of x.
Answer:
50
Step-by-step explanation:
each angle measurement has to equal 180°
If four times a certain number, increased by 6 is equal to 94, what is the number?
If x represents the number, then which of the following equations could be used to solve the problem?
4x + 6 = 94
x + 6 = 4(94)
4(x + 6) = 94
Answer:
4x + 6 = 94 could be used to solve the problem
A speed limit of 65mph
If your car is traveling 65 miles per hour, then it is also going 343,200 feet (65 × 5,280 = 343,200) per hour. Then, you can divide the total feet per hour by 60, and you know that your car is traveling 5,720 feet per minute.
Which of the following sequences of transformations is used to obtain figure E’F’G’H’ from EFGH?
Answer:
is there a picture that go with the problem
Step-by-step explanation:
100 Points. Need fast!
Answer:
SOH-CAH-TOA
Tan(angle) = Opposite side length/adjacent side lenght
Tan(49 deg) = h/900
Multiply both sides by 900:
900* tan(49deg) = h
Throw it into a calculator
h ≈ 1035.331566
Step-by-step explanation:
giải các phương trình vi phân sau
y' - y/x+1 = 2
It looks like the differential equation is
[tex]y'-\dfrac y{x+1}=2[/tex]
Multiply both sides by 1/(x + 1) :
[tex]\dfrac{y'}{x+1}-\dfrac y{(x+1)^2} = \dfrac2{x+1}[/tex]
The left side is now a derivative of a product,
[tex]\left(\dfrac y{x+1}\right)' = \dfrac2{x+1}[/tex]
Integrate both sides with respect to x :
[tex]\dfrac y{x+1} = 2\ln|x+1|+C[/tex]
Solve for y :
[tex]y = 2(x+1)\ln|x+1| + C(x+1)[/tex]