Answer:
Width = 13
Equation: 2 × 29 + 2W = 84
Step-by-step explanation:
Ace here!
I'm going to assume that we have to find the width. In a rectangle, there are 4 sides and opposite sides are congruent.
Let L represent the length and W represent the width.
Since there are 4 sides, we know that to find the of a rectangle perimeter, we have to do:
L+L+W+W=Perimeter
Let's first simplify this equation by combining like terms:
2L+2W = Perimeter
Now, let's plug in known values:
2(29) + 2W = 84
Divide everything by 2:
29+W=42
Isolate W:
W=42-29
W=13
Keep in mind, I didn't have to divide by 2 at the step that I had. I could've also done this:
2(29) + 2W = 84
Simplify:
58+2W=84
Bring everything to one side:
2W=26
Isolate W by dividing 2:
W=13
Two different slightly approaches, same answer.
I hope that helped, let me know if you have any questions.
A soccer ball is kicked from the ground at an upwards velocity of 90 feet per second. The equation h(t)=-16t^(2)+90t gives the height of the ball after t seconds. How many seconds will it take for the ball to reach its maximum height?
I need help figuring this out to help my grade
Answer: 2.81 s
Step-by-step explanation:
Given
Ball is kicked upward with velocity [tex]u=90\ ft/s[/tex]
Height of the ball is given by the function [tex]h(t)=-16t^2+90t[/tex]
Derivative of a function gives the maxima or minima at certain point
[tex]\Rightarrow \dfrac{dh}{dt}=-32t+90\\\\\Rightarrow \dfrac{dh}{dt}=0\\\\\Rightarrow -32t+90=0\\\\\Rightarrow t=\dfrac{90}{32}\\\\\Rightarrow t=2.81\ s[/tex]
Thus, it takes ball 2.81 s to reach the top.
Un número real no puede pertenecer a los racionales y a los irracionales a la vez?
Step-by-step explanation:
eso es cierto y correcto por supuesto, es tan obvio
What are factors of -12 that have a sum of +1?
Find the percent of increase from 380 to 510. Round to the nearest tenth of a percent, if
necessary.
Answer:
510 divided by 380 is 1.34210526316 so multiple by 10 to get 134.210526316
rounding to the tenth we get 134.2
so i know g(x)=3k-2x² and g(-3)=-6
how do i know what g(x) ad k are?
Answer:
find k by putting -3 where there is x than -6 on g(x)
Step-by-step explanation:
g(x)=3k-2x²
-6=3k-2(-3)²
-6=3k-18
-6+18=3k
12=3k
12÷3=3k÷3
4=k
8) ¿Cuál es la diferencia de la siguiente operación?
7 kilogramos 35 gramos
4 kilogramos 50 gramos
Ayudenme:(
Answer:
1. 6.96500 kilogramos
2. 3.95 kilogramos
john has 15 t shirts. 6 black, 3 red, 2 purple, 2 dark blue, 1 light blue, 1 purple
*Chuckles* my GPA is in danger
Answer:
A
Step-by-step explanation:
Exponential growth is when numbers increase rapidly in an exponential fashion so for every x-value on a graph there is a larger y-value. Decay is when numbers decrease rapidly in an exponential fashion so for every x-value on a graph there is a smaller y-value. So here the one that fits the description is A.
Help me ASAP !!!! Pls
Answer:
The answer is D because when you plug in 0 for the x value, you get positive 2
Question
In order to save for a new car, Charles adds money each month to a savings account which earns interest that is compounded monthly. Charles has created the expression 400((1+0.0212)12⋅3−10.0212) to calculate how much money he will have in his savings account when he is ready to purchase the car.
What do the values 400, 0.02, 12, and 3 represent in the expression?
Answer:
Step-by-step explanation:
What is the solution of the equation 0.2x = 10?
Select one:
x=2
Ο α = 100
2= 20
x = 50
Answer:
x = 50
Step-by-step explanation:
0.2x = 10
Divide each side by .2
0.2x/.2 = 10/.2
x =50
Answer:
Step-by-step explanation:
x=50
0.2 x 50 = 10
The values in a dataset are 3.5, 2.5, 2.5, 3.5, and 3.0. If Xbar (sample mean) = sigma X / n, what is the mean for the sample?
Answer:
[tex]\bar x = 3.0[/tex]
Step-by-step explanation:
Given
[tex]x: 3.5, 2.5, 2.5, 3.5, 3.0[/tex]
Required
The sample mean
This is calculated using:
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
[tex]\bar x = \frac{3.5+ 2.5+ 2.5+ 3.5+ 3.0}{5}[/tex]
[tex]\bar x = \frac{15.0}{5}[/tex]
[tex]\bar x = 3.0[/tex]
he local newspaper has letters to the editor from 30 people. If this number represents 2% of all of the newspaper's readers, how many readers does the newspaper have?
which expression is equivalent to 4 start root 81/16 a^8 b^16 c^16?
Explain what the graph of a polynomial that has a degree of 4, zeros of -1, 7, 10,
and a leading coefficient that is negative would look like.
Answer:
6, -5 and 6. Assume the leading coefficient of f(x) is 1. Write the equation of the cubic polynomial in standard form.
Helppppppppppp pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
1/6
Step-by-step explanation:
6^-2 / 6^-1
We know that a^b / a^c = a^(b-c)
6^(-2 - -1) = 6^(-2+1) = 6^-1
We know that a^-b = 1/a^b
1 /6^1 = 1/6
Answer:
1/6
Step-by-step explanation:
When dividing by exponents, you need to subtract the exponent from top to bottom. Ex: 5^3/5^2=5^1 which is just one, because you subtract 3 and two. In this case, 6^-2 / 6^-1 gets us 6^-1 which is the same thing as 1/6^1. Because remember, a^-x = 1/a^x.
Hope this helps!
:)
Circle D is inscribed in AABC as shown.
Point E marks the intersection of the two
shapes. Which of the following statements are
true?
Statement I: DE is the radius of the
inscribed circle.
Statement II: DE is perpendicular to AC.
Statement III: Point D is equidistant from
vertices A, B, and C.
Answer:
statement 1 and 2 are true
Need help fast best answer gets brainliest
Answer:
A) 1x 9^6
B) 1 x (2/3)^4
C) 1 x 4.5^6
hope that helps!
add me as a friend if you can:)
Answer:
A. [tex]9^{6}[/tex]
B. [tex](\frac{2}{3} )^{4}[/tex]
C. [tex]4.5^{6}[/tex]
Step-by-step explanation:
- the 1 in the front dosn't matter since 1 times "number" is going to be that number
A. There are six 9's multiplying by each eachother
B. There are four (2/3)'s multiplying by each eachother
C. There are six 4.5's multiplying by each eachother
Is Your Eyes Good?
Can You Identify The Word
Answer:
No way its too blur XD
Step-by-step explanation:
sports
watching tv
reading books
surfing
and sleeping maybe
Answer:
Sports - 25%
Surfing - 25%
Reading Books - 20%
Watching TV - 25%
Malling - 5%
Step-by-step explanation:
I will give BRAINLIEST to the correct answer
Find the measure of
Answer:
8p+102+4p+60 =90
12p+162-162 =90-162
12p. =-72
p =(-6)
CHT=8p+102
={8×(-6) }+102
=(-48)+102
=54
SAT MATH, PLEASE HELP PLEASE THIS IS MY LAST CHANCE
Answer:
[tex] \gamma = 125.00 \: degrees \\ a = 2.18 \\ b = 3.59[/tex]
Step-by-step explanation:
[tex] \gamma = 180 - 20 - 35 \\ = 125 \: degrees[/tex]
[tex]using \: sine \: rule \\ \frac{a}{sin20} = \frac{b}{sin35} = \frac{5.122}{sin125} \\ a = 2.1386 \\ b = 3.5865[/tex]
Given an integer, how do you find its opposite? Complete the explanation.
Find the integer that is the____ distance from___but on the____ side of 0.
Answer: same distance but different side
Step-by-step explanation:
A rectangular pen for pigs that will enclose a total area of 169 square feet. What is the least amount of fencing that is needed?
Answer:
The answer is below
Step-by-step explanation:
Let x represent the length of the rectangular pen and y represent the width of the rectangular pen. Since the total area of the pen is 169 ft², hence:
Area = length * width
169 = xy
y = 169/x
Also the perimeter of the rectangular pen is:
Perimeter (P) = 2(length + width)
P = 2(x + y)
P = 2x + 2y
P = 2x + 2(169/x)
P = 2x + 338/x
The least amount of fencing is at dP/dx = 0, hence:
dP/dx = 2 - 338/x² = 0
338/x² = 2
2x² = 338
x² = 169
x = 13 feet
y = 169 / x = 169/13 = 13 feet
The least amount of fencing = P = 2(x + y) = 2(13 + 13) = 52 feet
La sombra de un árbol cuando los rayos del sol forman con la horizontal un ángulo de 36º, mide 11 metros. ¿Cuál es la altura del árbol?
Answer:
La altura del árbol es 8 metros.
Step-by-step explanation:
La sombra de un árbol, cuando los rayos del sol forman con la horizontal un ángulo de 36º, mide 11 metros. Esto se puede observar en la imagen adjunta.
La trigonometría estudia la relación entre los lados y ángulos de los triángulos. Las razones trigonométricas de un ángulo α son las razones obtenidas entre los tres lados de un triángulo rectángulo (uno de sus ángulos es recto y mide 90°).
La tangente de un ángulo es la razón entre el cateto opuesto y el cateto contiguo o cateto adyacente. En este caso se debe aplicar dicha relación trigonométrica.
[tex]tan(\alpha )=\frac{cateto opuesto}{cateto adyacente}[/tex]
En este caso, se conoce el ángulo, cuyo valor es 36°, y el cateto adyacente, cuyo valor es 11. Reemplazando:
[tex]tan(36 )=\frac{cateto opuesto}{11}[/tex]
Resolviendo:
cateto adyacente= tan(36)*11
cateto adyacente= 7.99 metros ≅ 8 metros
La altura del árbol es 8 metros.
please help me i have 65 questions i have to do
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
I can't see it clearly, it's blurry, but the answer should be where the parabola touches the line. From what I can see, I can tell you that one solution is in the 3rd quadrant and the other solution is in the 4th quadrant.
Step-by-step explanation:
Hope this helps
A principal of $2700 is invested at 6.25% interest, compounded annually. How much will the investment be worth after 13 years?
Use the calculator provided and round your answer to the nearest dollar.
$
Answer:
$5938
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]
P is principle amountr is raten is compounded ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 2700
r = 6.25% = 0.0625
n = 1
t = 13
Step 2: Find Interest
Substitute in variables [Compounded Interest Rate Formula]: [tex]\displaystyle A = 2700(1 + \frac{0.0625}{1})^{1 \cdot 13}[/tex][Exponents] Multiply: [tex]\displaystyle A = 2700(1 + \frac{0.0625}{1})^{13}[/tex](Parenthesis) Divide: [tex]\displaystyle A = 2700(1 + 0.0625)^{13}[/tex](Parenthesis) Add: [tex]\displaystyle A = 2700(1.0625)^{13}[/tex]Evaluate exponents: [tex]\displaystyle A = 2700(2.19926)[/tex]Multiply: [tex]\displaystyle A = 5938[/tex]Describe the leading coefficient,
a
for the quadratic function shown in the graph below.
12
x
The leading coefficient of the quadratic function a is negative
How to describe the leading coefficient?From the graph, we have the following points:
Vertex, (h,k) = (-4,3)
Point, (x,y) = (-3,2)
A quadratic equation is represented as:
y = a(x - h)^2 + k
So, we have:
2 = a(-3 + 4) + 3
Subtract 3 from both sides
-1 = a(-3 + 4)
Evaluate the difference
-1 = a
This gives
a = -1
Hence, the leading coefficient a is negative
Read more about leading coefficient at:
https://brainly.com/question/19624646
#SPJ6
write short note on the rule on how to bisect a perpendicular angle
Answer:
Given a line segment AB
open the compass more than half of the distance between A and B, and scribe arcs of the same radius centered at A and B.
Call the two points where these two arcs meet C and D. Draw the line between C and D.
CD is the perpendicular bisector of the line segment AB. Call the point where CD intersects AB E.
Step-by-step explanation:
for more help please follow
Answer:
Follow the steps below to construct a perpendicular bisector of a line segment.
Step 1: Draw a line segment XY of any suitable length.
Step 2: Take a compass, and with X as the center and with more than half of the line segment XY as width, draw arcs above and below the line segment.
Step 3: Repeat the same step with Y as the center.
Step 4: Label the points of intersection as 'P' and 'Q'.
Step 5: Join the points 'P' and 'Q'. The point at which the perpendicular bisector PQ intersects the line segment XY is its midpoint. Label it as 'O'.
Step-by-step explanation:
PLZ HELP, IT WOULD MEAN THE WORLD
A television was originally priced at $522, but Sam waited to buy it until the television was on sale for 50% off. If
he paid 8% sales tax on the sale price, how much did he pay in total?
Answer:
$281.88
Step-by-step explanation:
Solve for 50% of $522:
522 × 0.50
261
Solve for sales tax:
261 × 0.08
20.88
Solve for total:
261 + 20.88
281.88
