Answer:
12 cm
Step-by-step explanation:
The area of a square is given by
A = s^2
144 = s^2
Taking the square root of each side
sqrt(144) = sqrt(s^2)
12 =s
Answer:
The length of one side of square is 12 cm.
Step by step explanation
Given that :-Area of square is 144 cm ² .To Find :-Length of one side of squareSolution :-Finding the length of one side of square
Using formula,
Area of square = ( side)²
substitute the value
144 cm² = side²
Taking square root of both side.
√144 cm ² = √side²
12 cm = side
Hence,
The length of one side of square is 12 cm.
Show that triangle FUN is isosceles.
an isosceles triangle is a triangle that has two sides of equal length
FU = 7 units
UN = 5 units
FN = 7 units
FU = FN
FU ≠ UN
FN ≠ UN
FUN is an isosceles triangle.
In factoring a trinomial with a leading coefficient other than 1, the first step is
to look for a common factor in each term and factor it out.
true of false
Answer:
True
Step-by-step explanation:
a p e x
which equation represents this number sentence? the product of 10 and a number is 3 less than the number
Step-by-step explanation:
According to the question,
~The product of 10 and a number is 3 less than the number.
Let us suppose the number as n. Writing it in the form of an equation,
→ 10 × Number = Number - 3
→ 10n = n - 3
Option B ✓
[tex] \rule{200}2 [/tex]
A baseball card was worth $120. Each year for x years, the card’s value, y, in dollars, decreased by $10. The owner sold the card after 5 years.
The value of the card can be modeled using a linear function. What is the domain of the function?
The value of the card can be modeled using a linear function. The domain of the function is 5.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
A baseball card was worth $120.
Each year for x years, the card’s value, y, in dollars, decreased by $10. The owner sold the card after 5 years.
y = $120 - $10(5)
y = $150
domain = x or 5
Learn more about linear equations;
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What is the longest math problem in the world?
PLZ ANSWER FAST!
An apple is launched directly upward at 64 feet per second from an 80-foot tall platform. The equation for this apple’s height, h, at time t seconds after launch is h = -16t2 + 64t + 80.
a. Find the maximum height of the apple.
b. How many seconds will it take for the apple to reach the ground
Answer:
144 feet
5 seconds
Step-by-step explanation:
a.
we want the maximum (or the vertex)
-64/-32= 2
-16*2²+64*2+80=144
b.
Here we want the point in which the y=0
In other words, we want the x-intercept
-16x²+64x+80= -16(x-5)(x+1)
so we have
(5,0) and (-1,0)
reject the negative answer to get 5 seconds
A) the maximum height of the apple is 144 feet. B) it will take 1 second for the apple to reach the ground.
How to determine How many seconds will it take for the apple to reach the ground
a. To find the maximum height of the apple, we need to determine the vertex of the parabolic equation. The vertex represents the maximum point of the parabola.
The equation for the height of the apple is given as h = -16t^2 + 64t + 80.
To find the t-value at the vertex, we can use the formula t = -b / (2a), where a, b, and c are the coefficients in the equation.
In this case, a = -16 and b = 64. Substituting these values into the formula:
t = -64 / (2 * -16)
t = -64 / -32
t = 2
So, the apple reaches its maximum height at t = 2 seconds.
To find the maximum height (h), we substitute the value of t = 2 into the equation:
h = -16(2)^2 + 64(2) + 80
h = -64 + 128 + 80
h = 144
Therefore, the maximum height of the apple is 144 feet.
b. To find the time it takes for the apple to reach the ground, we set h = 0 in the equation and solve for t:
0 = -16t^2 + 64t + 80
We can factor this equation or use the quadratic formula. Let's use the quadratic formula:
t = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = -16, b = 64, and c = 80. Substituting these values:
t = (-64 ± √(64^2 - 4(-16)(80))) / (2(-16))
t = (-64 ± √(4096 + 5120)) / (-32)
t = (-64 ± √9216) / (-32)
t = (-64 ± 96) / (-32)
We have two possible solutions:
t1 = (-64 + 96) / (-32) = 1
t2 = (-64 - 96) / (-32) = 5
Since the apple was launched upward, we consider the positive solution t1 = 1.
Therefore, it will take 1 second for the apple to reach the ground.
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What is x
Thanks for helping
Answer:
x = 3.5
Step-by-step explanation:
2x + 5 = 12
2x = 7
x = 3.5
Hope that helped!
[tex]\sf\purple{The\:value\:of\:x\:is\:3.5.}[/tex] ✅
Step-by-step explanation:
[tex]2x + 5 = 12 \\ ⇢ 2x = 12 - 5 \\ ⇢ 2x = 7 \\ ⇢ x = \frac{7}{2} \\ ⇢ x = 3.5[/tex]
[tex]\boxed{The\:value\:of\:x\:is\:3.5.}[/tex]
[tex]{ \bf{ \underbrace{To\:verify:}}}[/tex]
[tex]2x + 5 = 12 \\ ⇝2 \times 3.5 + 5 = 12 \\ ⇝7 + 5 = 12 \\ ⇝12 = 12 \\ ⇝L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
please helpp due soon!! 10 points :)
Answer:
[tex]2.3\:\mathrm{in^3},\\1.3\:\mathrm{fl\:oz}[/tex]
Step-by-step explanation:
The volume of a cone with radius [tex]r[/tex] and height [tex]h[/tex] is equal to [tex]V=\frac{1}{3}\cdot r^2\pi\cdot h[/tex].
What we're given:
Since radius is half the diameter, [tex]r[/tex] is [tex]1.1[/tex] Height of [tex]1.8[/tex]Substituting given values, we get:
[tex]V=\frac{1}{3}\cdot 1.1^2\pi \cdot 1.8=0.726\pi\approx \boxed{2.3\:\mathrm{in^3}}[/tex]
Convert to fluid ounces using the conversion given in the question:
[tex]0.726\pi}\cdot \frac{0.554}{1}\approx \boxed{{1.3\:\mathrm{fl\:oz.}}}[/tex]
A man borrows $500 and agrees to repay $750 at the end of 4 years. What is the rate of simple interest charged?
Answer:
The rate of simple interest is 0.125, or 12.5%.
Step-by-step explanation:
If the man must repay $750 after 4 years on a $500 loan, the simple interest would be ($750-$500), or $250.
The simple interest formula is i = p*r*t. Solving this for the interest rate, r, yields
i
r = ----------
p*t
and so, with i = $250, p = $500 and t = 4 yr, we find r as follows:
$250
r = ----------------- = 0.125
$500*4
The rate of simple interest is 0.125, or 12.5%.
4 1/2 plus 1 3/5 equal
Answer:
6 1/10
Step-by-step explanation:
Can someone please answer this
Answer:
3486784401 / 9^-6
Step-by-step explanation:
Hi!
(9^2)/(9^-8)
= 81/(9^-8)
= 81/1/43046721
Or
9^-6
Try both to see if they work. if they don't, hit me up in the comments
Find the sum of the first 10 terms of the sequence -8, -2, 4, 10, ...
Answer:
Step-by-step explanation:
Colin knows his book is 1 foot long. He uses his book to help him estimate the length of his bike.
I want to help you but ... What's the question?
Find the measure of angle N in the triangle . first find the value of y and then plug it in. please show work. help
Answer:
Step-by-step explanation:
By the Isosceles Triangle Theorem, angle O and angle M are congruent because the sides across from each of these angles are congruent. therefore, O = M = 4y - 15. Since, by the Triangle Angle-Sum Theorem all the angles of a triangle have to add up to equal 180 AND angle O and angle M are the same:
7y + 4y - 15 + 4y - 15 = 180 and
15y - 30 = 180 and
15y = 210 so
y = 14. Plug 14 in for y in 7y and get that
∠N = 98°
What is the value of a in the equation 3 a plus b equals 54, when b equals 9?
Answer:
a + b = 54
a + 9 = 54
Use inverse operations to solve
Step-by-step explanation:
(5m-2n) (25m^2 + 10mn + 4n^2)
Answer:
ANSWER
[tex](5m - 2n)(25 {m}^{2} + 10mn + 4 {n}^{2}) [/tex]
[tex]5m(2 {m}^{2} + 10mn + 4 {n}^{2} ) - 2n(25 {m}^{2} + 10mn + 4 {n}^{2} )[/tex]
[tex]10 {m}^{3} + 50 {m}^{2}n + 20m {n}^{2} - \\ 50 {m}^{2} n - 20m {n}^{2} - 8 {n}^{3} [/tex]
[tex]10 {m}^{3} - 8 {n}^{3} (ans)[/tex]
HOPE IT HELPS
Given that tanx=-3/4 find sinx and cos x
HOPE IT HELPS MUCH
[tex]{{clickphoto2see}}the \: arnswer}}[/tex]
Is the answer a b or c
Answer:
Step-by-step explanation: A
Answer:
B
Step-by-step explanation:
10 to 4
4 divided by 2 = 2, 2 x 5 = 10
15 to 6
6 divided by 2 = 3, 3 x 5 = 15
35 to 14
14 divided by 2 = 7, 7 x 5 = 35
the three points A(0,0,0), B(2,-3,3) C(-2,3,-3) are collinear. find in what ratio each point divides the segment joining the other two.
Answer:
pls provide diagram
it will hep
help anyone?? need to get this done
Answer:
The statue is 10cm tall in Kia's drawing.
Step-by-step explanation:
We know the statue is 80ft tall, as Bob's drawing was 1cm to 5ft and his drawing was 16cm tall. 16 x 5 = 80ft.
Because the new scale is 1cm to 8ft, you divide the 80ft tall statue with 8, and that leaves you with a 10cm tall replica statue.
Answer:
10 cm
Step-by-step explanation:
Latoya received a $30.25 gift card for a photo center. She used it to buy prints that cost 5 cents each. The remaining balance, B in dollars), on the card after buying x prints is given by the following. B = 30.25 -0.05x What is the remaining balance on the card if Latoya bought 20 prints?
There are 3 types of bills, 4 quarters and 5 dimes in Mrs. Shorts wallet, the wallet contains twice as many $1 dollar bills as $5 dollar bills. The number of $20 bills multiples by 2, is 7 more than the total number of $1 bills and $5 bills combined. How many of each type of bills in Mrs. Shorts wallet if it contains a total of $182.50
Answer:
3 5 dollar bills, 6 1 dollar bills, and 8 20 dollar bills
Step-by-step explanation:
2. The Vasco da Gama Bridge in Lisbon, Portugal, includes a trapezoid as part of
its structure (pictured above). The bridge's roadway goes through the median of
the trapezoid. If the bases of the trapezoid measure 22 m and 38 m, what is the
approximate width of the bridge's roadway? Explain how you got your answer.
Answer:
30 m
Step-by-step explanation:
Midsegment of a Trapezoid
[tex]\frac{(Base_{1}) +( Base_{2}) }{2}[/tex]
[tex]\frac{12 + 38}{2}[/tex]
[tex]\frac{60}{2}[/tex]
30
Average of the top and bottom = the middle
What is the cost of 2 kilograms of flour if 3 kilograms cost $4.86 and the unit price for each package of flour is the same?
Answer: Your answer is on the bottom of the photo I used an online note table
Step-by-step explanation:
Answer:
I think the answer is $3.24.
Step-by-step explanation:
4.86 / 3 = 1.62
$1.62 is equal to how much 1 kilogram of flour would cost.
1.62 x 2 = 3.24
Hope this helped.
Solve: y = 2x. y = -x+3. Write the coordinates (__, __)
Answer:
(1,2)
Step-by-step explanation:
y = 2x. y = -x+3
Set the two equations equal
2x = -x+3
Add x to each side
2x+x = -x+x+3
3x = 3
Divide by 3
3x/3 = 3/3
x = 1
Now find y
y =2x = 2(1) = 2
(1,2)
Solve like how you solve the system of equations. System of Equations are to find the intercept of both graphs or to find which coordinate points are solution to both equations.
We are given the equations below:
[tex] \large{ \begin{cases} y = 2x \\ y = - x + 3 \end{cases}}[/tex]
Since both equations are y-isolated and we want to find the coordinate point that both equations have or the coordinate point that is a part of two equations.
[tex] \large{2 x = - x + 3}[/tex]
Isolate the x-term by adding both sides by x.
[tex] \large{2x + x = - x + 3 + x} \\ \large{3x = 3}[/tex]
Divide both sides by 3 so we can finally get the x-isolated equation.
[tex] \large{ \frac{3x}{3} = \frac{3}{3} \longrightarrow x = 1 }[/tex]
Next step is to find the value of y. x-term and y-term both have relations. That means when substituting x-term, we get y-term. Therefore, substitute x = 1 in any given equations. It is not necessary to substitute both, only one is fine. I will choose the first equation to solve for y-value.
[tex] \large{y = 2x}[/tex]
Substitute x = 1:
[tex] \large{y = 2(1) \longrightarrow y = 2}[/tex]
The value of y is 2 when x is 1. Since we want the answer to be in coordinate form or ordered pair. From (x,y) - we get (1,2).
Answer
(1,2) is the solution.I hope this helps! Let me know if you have any questions or doubts. Do not hestitate to ask if you've got a question. Good luck on your assignment and have a great day!
Which expression is equivalent to 16 - 4x^2?
Answer:
4(2 - x)(2 + x)
Step-by-step explanation:
16 - 4x² ← factor out 4 from each term
= 4(4 - x²) ← difference of 2 squares
= 4(2 - x)(2 + x) ← in factored form
You are examining your choices of banks to open a new checking account. Potential costs include monthly maintenance fees, statement copy fees, and ___________.
Answer:
overdraft fees is your answer
Step-by-step explanation:
The stemplot below displays the arm spans, in centimeters, for 20 students.
A stemplot titled arm span (centimeters) has values 153, 155, 156, 160, 162, 162, 162, 163, 163, 165, 166, 167, 170, 173, 180, 181, 182, 189, 192, 202.
Identify the outliers, if they exist.
Answer:
189 and 202
Step-by-step explanation:
An outlier is a value that will have an effect on the mean of a set of values. It has an obvious difference compared to other values. They can be easily determined in a set of given data by mere observation.
From the given data in the question, it would be observed that the chronological difference among set of the data is either 1, 2, 3 or 4. But the two numbers that could be referred to as outliers are 189 and 202. This is because the have a wider range than others.
Answer:
Here are the answer choices you forgot:
There are no outliers.
153
202
192, 202
-----------
C & D are incorrect.
I think it is A : no outliers.
Help please!!
Jayson gets a loan from his parents with no interest L represents the remaining amount Jayson owes his parents on his loan t months. L=-250t+7000 how much did Jayson borrow from his parents?
Answer:
7000
Step-by-step explanation:
Given the equation :
L=-250t+7000
L = amount owed after t months of repayment.
From the equation given, we could deduce that it is a linear equation of the form :
y = bx + c
Where, b = - 250 is the slope = fixed amount paid per month and it's negative because the amount owed will reduce with each payment made.
c = intercept, which is the value of L when t = 0
This will give amount borrowed :
L=-250t+7000
At t = 0
L = - 250(0) + 7000
L = 7000
How do you find the are of the diameter