Answer:
4 square feet
Step-by-step explanation:
hope this helps :)
Questions
answered
A rectangle has an area of 108 square inches. The rectangle's length is 6 inches longer than 4
times its width.
3
What is the rectangle's width?
Write your answer as an integer, a simplified proper or improper fraction, or a simplified
radical expression
Considering the area of the rectangle, it is found that it's width of the rectangle is of 3 inches.
What is the area of a rectangle?The area of a rectangle of length l and width w is given by:
A = lw.
In this problem, we have that:
A = 108, l = 6 + 4w.
Hence, using the equation for the area:
lw = 108
(6 + 4w)w = 108
4w² + 6w - 108 = 0
2w² + 3w - 54 = 0
Which is a quadratic equation with coefficients a = 2, b = 3 and c = -54, hence:
[tex]\Delta = b^2 - 4ac = (3)^2 - 4(2)(-54) = 441[/tex]
[tex]x_1 = \frac{-3 + \sqrt{441}}{6} = 3[/tex]
[tex]x_2 = \frac{-3 - \sqrt{441}}{6} = -4[/tex]
Width is a positive measure, hence it is of 3 inches.
More can be learned about the area of a rectangle at https://brainly.com/question/10489198
Find the surface area of the can of milk at the right. [tex] \bold{Use \: π = 3.14}[/tex][tex] \red{*}[/tex]
The milk can is in the shape of a cylinder.
The surface area of cylinder is defined as the sum of curved surface and the two circular bases of the cylinder;
ㅤㅤㅤ➙ (curved surface ) + 2(base area )
ㅤㅤㅤ➙ 2πrh + 2πr²
ㅤㅤㅤ➙ 2πr( h + r )
Here, in this question we have;
radius ( r ) = 2/2 = 1 cm height ( h ) = 6 cmTherefore, Surface Area ( S.A ) :
➝ S.A = 2πr( r + h )
➝ S.A = 2 × π × 1 ( 1 + 6 )
➝ S.A = 2π ( 7 )
➝ S.A = 2 × 3.14 × 7
➝ S.A = 14 × 3.14
➝ S.A = 43.96cm²
Answer:
Surface area of cylindrical milk can is 43.96cm²
Step-by-step explanation:
Given :-
height of can of milk :- 6cm diameter :- 2 cm , radius :- 1cmTo find:-
Surface area of milk canSolution:-
formula for surface area cylindrical milk can :-
2πr(h+r)
putting the known values ,
2 × 3.14 × 1 (6+1) cm²
Surface area :- 43.96 cm²
She can choose from 7 pairs of pants, 6 t-shirts, 7 sweaters or hoodies, and 2 pairs of shoes. How many different outfits does Kaylee have to choose from?
Answer:
So, there are seven choices, etc, so the equation is
7x6x7x2
because there are multiple ways
so, 588
PLS HELP - FREE BRAINLIEST: Suppose 4 < a < 5 and 2 < b < 4. Find all possible values of each expression for a-b
Answer:
For problem 1... For problem 2...
Here are the solutions for a. Here are the solutions for b.
[tex]\left[\begin{array}{ccc}5&6\\7&8&9\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}3\\4&5&6\\7&8&9\end{array}\right][/tex]
There are only 5 to infinity solutions. Here, there are 7 to infinity.
What can we base off of these data sets?
We can create many more numerical comparisons, as well as ineqaulities.
Examples of those ineqaulities include...
7 < 8 > 59 = 9 > 46 < 3What have we learned?
We learned how to represent substituted values as numbers in inequalitites by using arrays.Answer:
a is 4.5, and b is 3.
Step-by-step explanation:
These numbers are the averages for the numbers shown.
4+5 = 9
9/2 = 4.5
2+4 = 6
6/2 = 3
That is how you can find the average of two numbers.
How do I graph n>8 on a number line.
Answer:
Math-Graphing Inequalities on a Number Line (the basics)
Step-by-step explanation:
3. Find the surface area.
25 yd
10 yd
20 yd
15 yd
The surface area of the shape is 400 square yards
How to calculate the surface area of a shapeThe formula for calculating the surface area of the shape is given as:
Surface area = Area of square + area of triangle
Surface area = (15 * 20) + (0.5 * 10 * 20)
Surface area = 300 + 100
Surface area = 400 square yards
Hence the surface area of the shape is 400 square yards
Learn more on surface area of figure here:
https://brainly.com/question/16302190
5. What is the value of x and y?
a.
b.
c.
d.
Answer:
30[tex]\sqrt{2}[/tex]
Step-by-step explanation:
The triangle given is a special right triangle with angle measures as follows:
45-45-90
The side lengths for this special triangle is represented with a-a[tex]\sqrt{2}[/tex]-a[tex]\sqrt{2}[/tex]
a represents the side length that sees hypotenuse and it is 30 so x and y
30[tex]\sqrt{2}[/tex]
A. 8/17
B. 15/17
C. 8/15
D. 15/8
Answer:
C
Step-by-step explanation:
Tangent of an angle is the opposite side over the adjacent side.
Tangent of angle beta is 8/15
graph the function
f(x)=-2/3 x+1
Answer:
At the bottom!
Step-by-step explanation:
I took the quiz! :)
Hitung nilai x bagi persamaan
Calculate the value of x for the equation
Answer:
2
Step-by-step explanation:
2⁹ ÷ (4^x) = 32^x × 32^(-1)
2⁹ ÷ 32^(-1) = 32^x × 4^x
16384 = 128^x
Kalau kamu dah belajar logaritma,
[tex]x = log_{128}(16384) \\ x = 2[/tex]
Jika belum,
2¹⁴ = 2^(7x)
Bandingkan kuasa persamaan tersebut,
7x = 14
x = 2
On January 1, Trisha put $100 into a savings account that earns interest. That same day, Mark put some money into another savings account that also earns interest. After 5 years, Trisha’s account balance is 145% of her original balance, and Mark’s is 160% of his original balance. Mark and Trisha withdraw all of their money and use it to spend $225 at the amusement park. If together they have $40 left from their withdrawals after the amusement park, how much did Mark put into his savings account?
Trisha thinks that if Mark also put $100 into his account, then they would had more than $100 left after the amusement park. Is she correct or not? Explain.
Answer:
Mark deposited $75Trisha is not correctStep-by-step explanation:
The total of their account balances is equal to the total spent plus the remaining amount. The given relations tell us ...
Trisha withdrew $100 × 145% = $145Mark withdrew d × 160% = 1.6d . . . for some initial deposit d$145 + 1.6d = $225 +40 . . . . . withdrawals = spent + change__
a.Solving this equation, we can find Mark's withdrawal and his initial deposit.
145 +1.6d = 265
1.6d = 120 . . . . . . . the amount Mark withdrew
d = 120/1.6 = 75 . . . . the amount Mark deposited
Mark put $75 into his savings account.
__
b.Had Mark put $100 into his savings account, the total of withdrawals would have been ...
Trisha + Mark = $100 × 145% +$100 ×160% = $145 +160 = $305
After spending $225 of this amount, they would have had a leftover amount of ...
$305 -225 = $80
Trisha is not correct in her thinking that there would be more than $100 left over.
y=4x-1+
y = 3x +7
i don’t know how to do this and i need steps on how
110 4t + 90 t=?
Please help!
Answer:
because of some theorm or postulate i forget the name of, angles on opposite sides are equal
110 = 4t + 90
20 = 4t
5 = t
t is equal to 5 degrees
- Meagan puts three flowering plants in a garden bed. Plant 1 and Plant 2 are 6 inches apart Plant 2 and Plant 3 are 10 inches apart Plant 1 and Plant 3 are 13 inches apart Did Meagan place the plants in a right triangle shape? Why or why notp?
Answer:
No
Step-by-step explanation:
They can't be in a straight line because 6+10 (the distance between plants 1 and 2 and plants 2 and 3) is more than 13 which is the distance from plant 1 to plant 3. This means plant 3 can't be in line with 1 and 2 which will give a triangular shape. If we check Pythagorean theorem we get 6^2 + 10^2 = 13^2 ( the longest side has to be the hypotenuse) . Since this isn't a true statement it can't be a right triangle.
Which table represents a relation that is not a funtion?
Answer:
D
Step-by-step explanation:
because in D one input value (3) has 2 different assigned output values (0 and -4).
that violates the definition of a function, where every input value must have exactly 1 assigned output value (but the output values themselves don't have to be different for different input values, so, e.g. A is still a function).
What is the volume of the rectangular prism?
30 points
Answer:
520/9 = 57.77....8
Step-by-step explanation:
4x 10/3 x 13/3= 130/9 x4=520/9
Answer:
57 7/9
Step-by-step explanation:
4*4 1/3*4 1/3 = 57 7/9
Please answer this question.
Answer:
B
Step-by-step explanation:
given that x and y vary inversely then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
to find k use the condition y is 24 when x is 8 , then
24 = [tex]\frac{k}{8}[/tex] ( multiply both sides by 8 to clear the fraction )
192 = k
y = [tex]\frac{192}{x}[/tex] ← equation of variation
when y = 18 , then
18 = [tex]\frac{192}{x}[/tex] ( multiply both sides by x )
18x = 192 ( divide both sides by 18 )
x = [tex]\frac{192}{18}[/tex] = [tex]\frac{32}{3}[/tex]
Answer:
Step-by-step explanation:
Write the inverse variation
y = k/x
Solve for k
y = 24
x = 8
y = k/x Substitute the givens into this equation
24 = k/8 Multiply both sides by 8
8*24 = k
k = 192
Solve for x when y = 18
y = k/x Multiply both sides by x
xy = k Divide by y
x = k/y
x = 192/18
x = 10 2/3 The answer is given as an improper fraction.
x = (10*3 + 2)/3
Answer: x = 32/3
Use the number line below to determine which of the following answer choices has statements that are all true.
Answer:
I agree with D
Step-by-step explanation:
just because
A box of chocolates contains five milk chocolates, five dark chocolates, and three white chocolates. You randomly select and eat three chocolates. The first piece is milk chocolate, the second is white chocolate, and the third is milk chocolate.
Answer:
2/7
Step-by-step explanation:
Total no. of chocolates in the box =14
No. of dark Chocolates=4
No. of white chocolates=5
No. of milk chocolates=5
Probability of getting a white chocolate
= No. of possible outcomes /Total No. of outcomes
=5/14
Probability of getting a dark chocolate =4/14=2/7
draw a quadrilateral that has one angle measure of 20 degrees and exactly one side length of four units
Answer:
You can draw a trapezoid
i hope this helps if you know how to draw the trapezoid you can search on website
jason is wrapping a gift.The box he is using is a rectangular prism with a length of 20 inches a width 12 inches and a height of 5 inches.Find how many square inches of paper does he need to wrap the intire box?
Answer:
Step-by-step explanation:
Surface area of rectangular prism:
length = l = 20 in
width = w = 12 in
height = h = 5 in
[tex]\boxed{\text{surface area of rectangular prism = 2*[lw + wh + hl]}}[/tex]
= 2* [ 20*12 + 12*5 + 5*20]
= 2* [240 + 60 + 100]
= 2 * 400
= 800 in²
What is the name of the shape depicted in the graph below?
A. Rose
B. Cardioid
C. Limaçon
D. Lemniscate
The name of the shape depicted in the graph below is rose, so the answer is A.
GraphsA rose is a flat curve resembling a symbolic image of a flower. Geometrically, it is the algebraic or transcendent curve whose graph is characterized by a series of windings around a central point.
In the best known cases, these windings produce figures in the shape of a rose window, from which its name derives from.
Learn more about graphs in https://brainly.com/question/14375099
Calculate the perimeter of the figure shown below.
5 ft
15 ft
10 ft
18 ft
Answer:
its c
Step-by-step explanation:
think about it for a second
i need help finding our the perimeter
Answer:
11x + 10y - 2w
Step-by-step explanation:
Hello!
To solve for the perimeter, we add up the like terms.
What are like terms?
Like terms are terms with the same variable and degree. 4x and 5y are NOT like terms because the variable is not the same. However, 4x and 3x are like terms, as adding them gives us 7x.
4x and 4x² are not like terms, because the degree of 4x is 1 (degree means the largest exponent), but the degree of 4x² is 2.
Solve for Perimeter:
Combine the like terms by adding them up.
Perimeter = (8x - 4w) + (3y + 2w) + (3x + 7y)P = 8x - 4w + 3y + 2w + 3x + 7yP = 8x + 3x + 3y + 7y - 4w + 2wP = 11x + 10y - 2wThe perimeter is 11x + 10y - 2w
Mark spent $35.50 at the mall. He bought one sweater and some socks. The sweater
cost $20.50 and each pair of socks cost $2.50 each. How many pairs of socks (s) did
Mark buy?
21 - 25 . Alex is trying to balance his time in academics, chores and other activities. In order to do this, he decided to
1/3 divide his time according to the tasks he needs to do in a day. If Alex will spend of his day on sleeping, 1/12 1/8 1/4 * on studyingon household chores and for other activities like eating and taking a bath, how much time does he have left for leisure activities?
ABC is a right triangle. Find the length of x, the altitude of ABC.
Answer:
b. [tex]6\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\frac{6}{x} =\frac{x}{18}[/tex]
[tex]x^{2} =[/tex][tex](6)(18)=108[/tex]
[tex]x=\sqrt{108} =\sqrt{(36)(3)} =6\sqrt{3}[/tex]
Hope this helps
The length of x, the altitude of triangle ABC is [tex]6\sqrt3[/tex]
How to determine the length of x, the altitude of ABC?From the given figure, we have the following equivalent ratio:
6 : x =x: 18
Express as fraction
6/x = x/18
Cross multiply
[tex]x^2 = 6 * 18[/tex]
Evaluate the product
[tex]x^2 = 108[/tex]
Take the square root of both sides
[tex]x = 6\sqrt3[/tex]
Hence, the length of x, the altitude of ABC is [tex]6\sqrt3[/tex]
Read more about right triangles at:
https://brainly.com/question/2437195
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KLMN is a square and NM = 8. Solve for the blanks below:
N
M
K
L
TZOKL=
mZMOL =
Perimeter of KLMN =
Answer:
see explanation
Step-by-step explanation:
the angles in a square are right .
the diagonals bisect the angles , then
∠ OKL = 45°
The diagonals are perpendicular to each other , then
∠ MOL = 90°
All sides are congruent , so
perimeter = 4 × NM = 4 × 8 = 32
Answer:
Perimeter: 32
measure of angle OKL: 45
measure of angle MOL: 90
Step-by-step explanation:
Things to remember:
- the side of the square are all equal
- vertical angles are congruent
+ ex. MON and KOL; MOL and NOK
- the entirety of the four angles in the center of the square equal 360 degrees
+ ex. MON + MOL + LOK + KON = 360 degrees
- corners of a square equal 90 degrees and since lines MK and LN cut the square in half we can assume that angles like OKL are also cut in half, making them 45 degrees
+ ex. angle NKL (90) = OKL (45) + OKN (45)
- The four triangles in the square are isosceles
If we have the angles of OML and MLO we can find MOL since the angles of a triangle equal 180
OML (45) + MLO (45) + MOL (x) = 180
90 + x = 180
x = 90
Is the length of the hypotenuse of a right triangle with legs that measure 5 cm and 6 cm a rational number or an irrational number? Justify your answer.
Answer:
irrational
Step-by-step explanation:
Use the Pythagorean theorem.
5² + 6² = c²
25 + 36 = c²
c² = 61
7² = 49
6² = 64
61 is between 7² and 8², so it is not rational.
Each student needs 3 3/4 feet of string for an art project. The art
teacher orders string by the yard. How many yards should he order for 67
students?
Answer:
83.75 yards
Step-by-step explanation:
3.75 x 67 = 251.25ft
251.25 / 3 = 83.75yards