Respuesta:
A = 1/16 × x²
Explicación paso a paso:
Un alambre de longitud x se dobla en forma de cuadrado. Como un cuadrado tiene 4 lados iguales la longitud de cada lado (l) será:
l = 1/4 × x
Para calcular el área de un cuadrado (A) usaremos la siguiente fórmula.
A = l²
A = (1/4 × x)²
A = 1/16 × x²
SOMONEEeeeee HELPP MEEE OUTTTT!!!
Answer:
simple 49+44=93 then you do 180 is the angle of a straight line so we do 180-93=87
elena sews a ribbon across the bottom of a scarf that is one yard long .she has sewed 3/8 yard of ribbon so far.how much more ribbon does she need to sew to finish the whole scarf?
[tex]Total \: length = 1 \: yard \\ Finished \: length = \frac{3}{8} \: yard \\ \\ so \: remaining \: length \\ = total \: length - finished \: length \\ = 1 \: yard - \frac{3}{8} \: yard \\ = \frac{8}{8} \: yard - \frac{3}{8} \: yard \\ = \frac{5}{8} yard[/tex]
This is the answer.
Hope it helps!!
On a Job application Doris gave her age as 32 years. Her actual age at the time was about 27. What is the relative error fo her age?
Answer:
Relative error = 0.19
Step-by-step explanation:
From the question given above, the following data were obtained:
Measured age = 32 years
Actual age = 27 years
Relative error =?
Next, we shall determine the absolute error. This can be obtained as follow:
Measured age = 32 years
Actual age = 27 years
Absolute error =?
Absolute error = | Measured – Actual |
Absolute error = | 32 – 27 |
Absolute error = 5 years
Finally, we shall determine the relative error. This can be obtained as follow:
Absolute error = 5 years
Actual age = 27 years
Relative error =?
Relative error = Absolute error / Actual years
Relative error = 5 / 27
Relative error = 0.19
What is the answer and the way of writing method for 4.15 × 3.85 Evaluate
Step-by-step explanation:
4.15 × 3.85
= (4 + 0.15) ( 4 - 0.15)
= (4)^2 - (0.15)^2
= 16 -- 0.0225
= 15.9775
HOPE IT HELPS
Which expressions are equivalent.
PLEASE HELP ME !!! (photo given)
Answer:
[tex]\frac{2^{5} }{6^{5} } =2^{5} 6^{-6}[/tex]
[tex]=2^5\times (2^{-5} 3^{-5} )[/tex]
[tex]=2^{5-5} 3^{-5}[/tex]
[tex]=2^{0} 3^{-5}[/tex]
[tex]=3^{-5}[/tex]
[tex]OAmalOHopeO[/tex]
Answer:
B(3^-5) and D(2^5*6^-5)
Step-by-step explanation:
I put the expression in to the calculator and put the answers into the calculator and just picked the ones that matched
x²- 9x + 20=0 it´s finding solutions for x
Answer:
Step-by-step explanation:
Sum = -9
Product = 20
Factors = -5 , -4 {-4 * -5 = 20 & -5 + (-4) = -9}
x² - 9x + 20 = 0
x² - 5x - 4x + 20 = 0 Rewrite middle term
(x² - 5x) - 4x + 20 = 0 Group terms
x(x - 5) - 4(x - 5) = 0 Factor terms
(x-5)(x -4)=0
x -5 = 0 ; x - 4 = 0
x = 5 ; x = 4
Ans: x = 5 , 4
pls help w work!!
The equation P=2(L + W) is used to find the
perimeter, P, of a rectangle based on the length, L,
and Width, W. Which of the following correctly expresses the value of the width?
(a) P - 2L
(b) P - 2L / 2
(c) 2L - P / 2
(d) 1/2 (P-L)
Lets Do
[tex]\\ \sf\longmapsto p = 2(l + w) \\ \\ \sf\longmapsto l + w = \frac{p}{2} \\ \\ \sf\longmapsto w = \frac{p}{2} - l \\ \\ \sf\longmapsto \boxed{ \bf \: w = \frac{p - 2l}{2} }[/tex]
In order for the parallelogram to be a rhombus, x=?
Answer:
Step-by-step explanation:
The diagonal must be an angle bisector for a rhombus.
That means that both bisected angles are equal.
2x + 16 = 5x - 8 Add 8 to both sides
2x + 16 + 8 = 5x
2x + 24 = 5x Subtract 2x from both sides
24 = 5x - 2x
24 = 3x Divide by 3
24/3 = x
x = 8
Write an equation for a parabola with endpoints of the latus rectum at (-2, 3) and (-2, 15) and the directrix at x = 4.
Given:
The endpoints of the latus rectum at (-2, 3) and (-2, 15).
The directrix at x = 4.
To find:
The equation of the parabola.
Solution:
The equation of the parabola is:
[tex](y-k)^2=4p(x-h)[/tex] ...(1)
Where, [tex]x=h-p[/tex] is directrix and [tex](h+p,k\pm |2p|),p<0[/tex] are the end point of the latus rectum.
The directrix at x = 4. So,
[tex]h-p=4[/tex] ...(i)
The endpoints of the latus rectum at (-2, 3) and (-2, 15). So,
[tex](h+p,k-|2p|)=(-2,3)[/tex]
[tex](h+p,k+|2p|)=(-2,15)[/tex]
Now,
[tex]h+p=-2[/tex] ...(ii)
[tex]k-2p=3[/tex] ...(iii)
[tex]k+2p=15[/tex] ...(iv)
Adding (i) and (ii), we get
[tex]2h=2[/tex]
[tex]h=1[/tex]
Putting [tex]h=1[/tex] in (i), we get
[tex]1-p=4[/tex]
[tex]-p=4-1[/tex]
[tex]-p=3[/tex]
[tex]p=-3[/tex]
Putting [tex]p=-3[/tex] in (iii), we get
[tex]k-|2(-3)|=3[/tex]
[tex]k-6=3[/tex]
[tex]k=3+6[/tex]
[tex]k=9[/tex]
Putting [tex]h=1,p=-3,k=9[/tex] in (1), we get
[tex](y-(9))^2=4(-3)(x-1)[/tex]
[tex](y-9)^2=-12(x-1)[/tex]
Therefore, the required equation of the parabola is [tex](y-9)^2=-12(x-1)[/tex].
Four cans of cat food and 3 cans of dog food cost $1.99. Four cans of the same cat food and 1 can of the same dog food cost $1.33 hat is the cost of one can of cat food
Answer:
$0.25
Step-by-step explanation:
We can use System of Equations to find out how much a can of cat food costs.
Let's use variables to represent the cat food and dog food:
x = cost of 1 cat food can
y = cost of 1 dog food can
Here are our 2 equations based on the scenarios in the question:
4x + 3y = 1.99
4x + y = 1.33
Now let's set the second equation to y using basic algebra:
4x + y = 1.33
y = -4x+1.33
And we're going to plug that value of y, which is -4x+1.33 into the first equation and solve:
4x + 3y = 1.99
4x + 3(-4x+1.33) = 1.99
4x + -12x+3.99 = 1.99
-8x + 3.99 = 1.99
-8x = -2
x = 1/4
x = 0.25
1 can of cat food costs $0.25
Hope that helps (●'◡'●)
Answer:
.25
Step-by-step explanation:
set up equations
1)4c+3d=1.99
2)4c+d=1.33
Method of use:Elimination
4c+3d=1.99
- (4c+d)=-(1.33)
___________
=2d=.66
divide by two on both sides to get .33 for d.
plug in
4c+.33=1.33
subtract .33 on both sides
4c=1
divide by four on both sides to get c
c=1/4 or .25
NEED THIS ASAP :)
What is the length of the y-component of the vector plotted below?
A. 3
B. 4
C. 1
D. 2
Answer:
4
Step-by-step explanation:
Length of the y component is how far the vector reaches vertically, so in this case it's 4
What is the slope-intercept equation of the line below?
O A. y = 2 x + 1
O B. y --4x+1
O C. y - 4x +1
O D. y--3x+1
Answer:
A.) y = 3/4x + 1
Step-by-step explanation:
First let's find the slope using the slope formula, (y₂-y₁)/(x₂-x₁). The two points given are (0,1)₁ and (4,4)₂. We have to substitute those values.
y₂ = 4, y₁ = 1, x₂ = 4, x₁ = 0 --> (4 - 1)/(4 - 0) = 3/4
The slope is 3/4.
Now, we have to find the y-intercept, which is where the line meets the y-axis. It touches the y-axis at (0,1). The y-intercept is 1.
Finally, we build our equation in slope-intercept form.
y = mx + b
y = 3/4x + 1
Given that a box has 3 blue marbles, 2 red marbles, and 4 yellow marbles, use the probability formulas to answer the following questions. Reduce all fractions. Use / as the fraction bar and do not use any spaces. What is the probability of... Drawing a blue marble?
P( Answer
)= Answer
Drawing a marble that is not red?
P( Answer
)= Answer
Drawing a red and yellow marble?
P( Answer
)= Answer
Drawing a red or blue marble.
P( Answer
)= Answer
Drawing a red marble, put it back, and then drawing a yellow marble?
P( Answer
)= Answer
Drawing a yellow marble, keeping it, and then drawing another yellow marble?
P( Answer
)= Answer
Drawing a yellow marble, given that a red marble was drawn on the first draw and not replaced?
P( Answer
)= Answer
Answer:
drawing a blue marble is a harder then the yellow but not as hard as the red.
Please help!!!!!!!!!!!!!!
Answer:
7^-22
Step-by-step explanation:
Exponent laws.
A t-shirt cost 5 times as much as a singlet. For $800,a trader can buy 32 more singlet than t-shirts. How much does a t-shirt cost
Answer: [tex]\$100[/tex]
Step-by-step explanation:
Given
T-shirt cost 5 times as much as a singlet
Suppose the price of a singlet [tex]x[/tex]
Price of a T-shirt is [tex]5x[/tex]
According to the question, for $800, trader can buy 32 more singlet than T-shirt
[tex]\Rightarrow \dfrac{800}{x}=\dfrac{800}{5x}+32\\\\\Rightarrow \dfrac{800}{x}-\dfrac{160}{x}=32\\\\\Rightarrow 800-160=32x\\\\\Rightarrow x=20[/tex]
Thus, the price of a T-shirt is [tex]5x=\$100[/tex]
help me out please
(geometry)
Answer:
x = 17
Step-by-step explanation:
The angles are same side interior angles and they will add to 180 when the lines are parallel
6x+8 + 4x+2 = 180
10x+10 = 180
Subtract 10 from each side
10x+10-10 =180-10
10x = 170
Divide by 10
10x/10 = 170/10
x = 17
Answer:
x = 17
Step-by-step explanation:
Theorem:
If two lines are cut by a transversal such that same-side interior angles are supplementary, then the lines are parallel.
For the lines to be parallel, the sum of 6x + 8 and 4x + 2 must equal 180.
6x + 8 + 4x + 2 = 180
10x + 10 = 180
10x = 170
x = 17
Find the equation of the line which is perpendicular to the line.
(a) with equcation y=5x-4 and passes through (0,7)
Answer:
[tex]y = - \frac{1}{5} x + 7[/tex]
Step-by-step explanation:
Slope -intercept form:
y= mx +c, where m is the slope and c is the y- intercept.
Since the given equation is already in the slope-intercept form, we can identify its slope by looking at the coefficient of x.
Slope of given line= 5
The product of the gradients of two perpendicular lines is -1.
m(5)= -1
[tex]m = - \frac{1}{5} [/tex]
Substitute the value of m into the equation:
[tex]y = - \frac{1}{5} x + c[/tex]
Substitute a pair of coordinates to find the value of c.
when x= 0, y= 7,
[tex]7 = - \frac{1}{5} (0) + c[/tex]
c= 7
Thus, the equation of the line is y= -⅕x +7.
Jada worked at the bakery for 14 hours last week he spent $12 of his earnings on a cake for his father‘s birthday as he was last with $86 after buying the cake what is Gianna‘s hourly wage
Answer:
$7 is his Hourly Wage.
Step-by-step explanation:
We can start by finding out how much money Jada started with by adding the amount of money he had after buying the cake with how much he spent on the cake, 86 + 12 = 98.
We now know how much money he had before buying anything. Now we can just divide the total amount of money by how long he worked.
98 ÷ 14 = 7
what is the value of a if va- vh is equals to 1
Answer:
[tex] \displaystyle a = \frac{1+vh}{v}[/tex]
Step-by-step explanation:
we want to figure out a value of a for the following condition
[tex] \displaystyle va - vh = 1[/tex]
to do so factor out v;
[tex] \displaystyle v (a - h )= 1[/tex]
divide both sides by v which yields:
[tex] \displaystyle \frac{(a-h) \cancel{(v)}}{ \cancel{v}}= \frac{1}{v} [/tex]
therefore,
[tex] \displaystyle a-h = { \frac{1}{v}}[/tex]
now,add h to both sides:
[tex] \displaystyle a = \frac{1}{v}+h[/tex]
further simplification if necessary:
[tex] \displaystyle a =\boxed{ \frac{1+vh}{v}}[/tex]
factor out of v
[tex]\sf{v(a-h)=1 }[/tex]Dividing both sides by (v)
[tex]\sf{\dfrac{v(a-h)}{(v)}=\dfrac{1}{(v)} }[/tex]cancel out (v)
[tex]\sf{\dfrac{\cancel{v}(a-h)}{\cancel{(v)}}=\dfrac{1}{(v)} }[/tex][tex]\sf{ a-h=\dfrac{1}{v} }[/tex]
add h in both sides
[tex]\sf{a-h+h=\dfrac{1}{v}+h }[/tex]cancelout h
[tex]\sf{a-\cancel{h}+\cancel{h}=\dfrac{1}{v}+h }[/tex] [tex]\sf{a=\dfrac{1}{v}+h }[/tex] [tex]\boxed{\sf{a=\dfrac{1+vh}{v} } }[/tex][tex]\sf{ }[/tex] [tex]\sf{ }[/tex]
Therefore:-the value of a if va- vh is equals to 1 is [tex]\bold{\dfrac{1+vh}{v} }[/tex]
Multiply the polynomial vertically:
1/2x^2(12x^2 - 4x + 2)
Step-by-step explanation:
= 1/2x^2.12x^2 - 1/2x^2.4x + 1/2x^2.2
= 6x^4 - 2x^2 + x
calculate the distance between the point(5,6) and (7,8)
find the mean of the following 2x-5y,5x+2y,8x+6y,x-y
Answer: 4x + 0.5y
Step-by-step explanation:
Concept:
Here, we need to understand the idea of the mean (average).
The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
**Disclaimer** I assume the question is asking for the arithmetic mean instead of geometric. If it was, then you can refer to my answers. If it was not, then you can point it out and I will redo the question.
Terms: 2x-5y, 5x+2y, 8x+6y, x-y
Number of terms: 4
[(2x-5y) + (5x+2y) + (8x+6y) + (x-y)] / 4
=[2x + 5x + 8x + x + 2y - 5y + 6y - y] / 4
=[16x + 2y] / 4
=4x + 0.5y
Hope this helps!! :)
Please let me know if you have any questions
Find the perimeter of the polygon.
Answer:
36 units
Step-by-step explanation:
this is a walk around problem
the sides of the triangle will be 10, 13, and 13
so the perimeter = 10 + 13 + 13
p = 36 units
Answer:
perimeter = 36
Step-by-step explanation:
Tangents drawn to a circle from an external point are congruent, then
perimeter = (5 + 5) + (8 + 8) + (5 + 5)
= 10 + 16 + 10
= 36
Two towns A and B are 220km apart. A bus left town A at 11.00 AM and travelled towards town B at 60km/hr. At the same time, a van left town B for town A and travelled at 80km/hr. The van stopped for a total of 45 minutes on the way before meeting the bus. Calculate the distance covered by the bus before meeting the van. Please show clear working and explanation to get a brainlist !!!
Answer:
Sa / Va = time traveled by bus a
Sb / Vb + 3/4 = time traveled by van b
Sa / Va = Sb / Vb + 3/4 times traveled are the same
= (220 - Sa) / Vb + 3/4
Sa ( 1 / Va + 1 / Vb) = 220 / 80 + 3/4
Sa (140 / 4800) = 3.5
Sa = 120 km
Check: 120 km / 60 km/hr = 2 hr = Ta
Sb = 1.25 * 80 = 100 km traveling for 1.25 hrs
please! can somebody help me?
Step-by-step explanation:
The depth of the water is increasing by 2 feet each minute.
Each participant in a certain study was assigned a sequence of 3 different letters from the set {A, B, C, D, E, F, G, H}. If no sequence was assigned to more than one participant and if 36 of the possible sequences were not assigned, what was the number of participants in the study? (Note, for example, that the sequence A, B, C is different from the sequence C, B, A.)
Answer: 300
Step-by-step explanation:
Based on the information given in the question, the number of participants in the study will be calculated thus:
The number if letters in the set are 8 from A - H. This means that there are 8 ways to choose 3 letter when the ordering matters.
This will be:
= 8!/(8 - 3)!
= 8 × 7 × 6
= 336
Since 36 sequences were not assigned, therefore the numbers that were assigned will be:
= 336-36
= 300.
There were 300 participants.
In △MNP , point Q is between points M and N, and point R is between points N and P. Point H is the incenter of the triangle, HQ⊥MN, and HR ⊥NP. QN=36 and HN=39 . What is HR ? Enter your answer in the box.
Answer:
15
Step-by-step explanation:
The given parameters are represented by drawing the triangle with the details given using MS Visio
The point Q is located between points M and N in ΔMNP
The point R is located between points N and P in ΔMNP
The incenter of the triangle = H
Line HQ is perpendicular to side MN on ΔMNP
Line HR is perpendicular to side NP on ΔMNP
The length of the segment QN = 36
The length of the segment HN = 39
By Pythagoras' theorem, HQ = √((HN)² - (QN)²)
∴ HQ = √(39² - 36²) = 15
HQ = 15
Given that H is the incenter of ΔMNP, the lengths of the perpendicular from H to the sides of the triangle are equal to the radius of the inscribed circle of the triangle
Therefore, the radius lengths are HQ, and HR
∴ HR = HQ = 15
HR = 15.
The difference of a number and six is the same as five times the sum of a number and two what is the number
Solve for x. Round to the nearest tenth of a degree, if necessary. Please HELP!
Answer:
x = 29.5
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos x = adj side/ hypotenuse
cos x = 67/77
Taking the inverse cos of each side
cos^-1( cos x) = cos^-1 (67/77)
x = 29.52626525
To the nearest tenth
x = 29.5
The base and height of a right triangle are 20 inches and 15 inches. Find the length of the hypotenuse.
Using the Pythagorean theorem:
Hypotenuse = sqrt( 20^2 + 15^2)
Hypotenuse = sqrt( 400 + 225)
Hypotenuse = sqrt(625)
Hypotenuse = 25
Answer: 25 inches
Answer:
25 inches
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
20^2 + 15^2 = c^2
400 +225 = c^2
625=c^2
Taking the square root of each side
sqrt(625) = sqrt(c^2)
25 = c
