Answer:
(1.4, 2.5)
Step-by-step explanation:
[tex]y = x + 1[/tex] ... equ 1
[tex]y =3x - 2[/tex] ... equ 2
subtract equ 1 from 2, we'll have
[tex]0 = 2x - 3[/tex]
[tex]2x = 3[/tex]
[tex]x= 3/2 = 1.5[/tex]
substitute the value of [tex]x[/tex] in equ 1, we'll have
[tex]y = 1.5 +1[/tex]
[tex]y = 2.5[/tex]
therefore, solution to the system of the equation is (1.5, 2.5)
the closest in your option is (1.4, 2.5)
What is the value of 'x' : [tex]4x + 3 = 16[/tex]
Answer:
x = 3.25
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
...and is the order of operation.
First, subtract 3 from both sides of the equation:
4x + 3 = 16
4x + 3 (-3) = 16 (-3)
4x = 16 -3
4x = 13
Next, dvide 4 from both sides:
(4x)/4 = (13)/4
x = 13/4
x = 3.25
x = 3.25 is your answer.
~
Answer:
x = 3.25
Step-by-step explanation:
4x + 3 = 16
4x + 3 - 3 = 16 - 3
4x = 13
4x/4 = 13/4
x = 3.25
Find the ordered pairs.
{Y=(x+1)^2-5
{Y=2x
PLEASE HELP!!!
Answer:
[tex]\large \boxed{\sf \bf \ \ \text{The solutions are }(2,4) \text{ and } (-2,-4) \ \ }[/tex]
Step-by-step explanation:
Hello, this is the same kind of question that you have already posted( brainly.com/question/17141820).
I would suggest that you check my previous answer and try to apply the same logic here. When you try it if you have any question please let me know. It will be the more efficient way for you to learn how to solve it by yourself.
As I have already provided details for the previous question I will be more succinct here.
Again we can write y = y and then we have to solve the following.
[tex](x+1)^2-5=2x\\\\x^2+2x+1^2-5-2x=0\\\\x^2-4=x^2-2^2=(x-2)(x+2)=0\\\\x=2 \ \ or \ \ x=-2[/tex]
The solutions are (2,4) and (-2,-4)
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
8. The world's tallest
totem pole is in Alert
Bay, B.C., home of the
Nimpkish First Nation.
Twenty feet from the
base of the totem pole,
the angle of elevation
of the top of the pole
is 83.4º. How tall is
the totem pole to the
nearest foot?
Answer:
The height of the totem tree is approximately 172.8ft
Step-by-step explanation:
Hello,
To find the height of the totem pole, we need to use our date to make a pictorial representation so that we can know if the pole and base makes a right angle triangle with the angle of elevation.
See attached document for better illustration.
Let T represent the height of the pole.
Using trigonometric ratio,
SOHCAHTOA, we can use tangent since we have our adjacent and we're to solve for the opposite.
Tanθ = opposite/ adjacent
Opposite = T
Adjacent = 20ft
θ = 83.4°
Tan83.4 = T / 20
T = 20Tan83.4
T = 20 × 8.64
T = 172.8ft
The height of the totem tree is approximately 172.8ft
Boris is selling pirate hats. If he sells the hats for $50 he will sell 135 hats.
For each increase in price of $2 he will sell 3 fewer hats.
Determine the possible prices he could charge to earn $6486 or more.
Answer:
Current price $50eax135hats= $6750
Step-by-step explanation:
If he sells the hats at $52 he sells 3 less hats so $52x132=$6864
if he sells the hats at $54 he has 6 less hats= 54x129=6966 etc
$56 x 126=$7056
Barry also looks into the cost of repaying an easy access loan for $1000. The up-front cost of the loan is $3 for every $20 borrowed, plus the original $1000. How much will this loan cost Barry in interest.
Answer:
Barry has to pay back $1150
Step-by-step explanation:
We can set up an equation to help solve this problem
x is the amount he has to pay back
x=1000+3(1000/20)
1000/20 lets us know how many times he borrowed 20 dollars
x=1000+3(50)
x=1000+150
x=1150
Barry has to pay back $1150
If Barry also looks into the cost of repaying an easy access loan for $1000. The up-front cost of the loan is $3 for every $20 borrowed, plus the original $1000. Then Barry has to pay back $1150.
What is Equation?Two or more expressions with an equal sign is called as Equation.
We can set up an equation to help solve this problem
x is the amount he has to pay back.
x=1000+3(1000/20)
1000/20 lets us know how many times he borrowed 20 dollars
x=1000+3(50)
x=1000+150
x=1150
Hence, Barry has to pay back $1150.
To learn more on Equations click:
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A lead ball weighs 326 grams. Find the radius of the ball to the nearest tenth of a
centimeter.
Answer:
1.9cm
Step-by-step explanation:
The density d of a material is related to its mass m and volume V as follows;
d = [tex]\frac{m}{V}[/tex] ------------------(i)
The material in question here is the lead ball.
Now, from known experiment;
the density of lead is 11.34g/cm³
From the question, the weight/mass of the lead ball is 326g
Substitute these values into equation (i) as follows;
11.34 = [tex]\frac{326}{V}[/tex]
V = [tex]\frac{326}{11.34}[/tex]
V = 28.75cm³
Now, since the ball is of course spherical, we can get the radius by using the following relation from the volume of a sphere;
V = [tex]\frac{4}{3} \pi r^3[/tex] [V = volume, r = radius]
V = 28.75cm³
=> 28.75 = [tex]\frac{4}{3} \pi r^3[/tex]
=> 3 x 28.75 = 4 π r³
=> 86.25 = 4 π r³
=> 21.5625 = π r³ [Take π = 3.142]
=> 21.5625 = (3.142) r³ [divide both sides by 3.142]
=> 6.86 = r³ [Take the cube root of both sides]
=> ∛6.86 = ∛r³
=> 1.90 = r
Therefore, the radius is 1.9cm to the nearest tenth
need help A S A P NOWWWWW
Answer:
x = 73
Step-by-step explanation:
The measure of the sum of the arcs in a circle = 360°.
Sum the given arc measures and equate to 360, that is
95 + 52 + 67 + 2x = 360
214 + 2x = 360 ( subtract 214 from both sides )
2x = 146 ( divide both sides by 2 )
x = 73
BRAINLIEST, 5 STARS, THANKS AND 100 POINTS IF ANSWERED BOTH CORRECTLY. --------------------- Which function rule describes the pattern in the table? X: -2, -1, 0, 1, 2 Y: 3, 2, 1, 0, -1 A) y = x + 1 B) y = x - 1 C) y = -x + 1 D) y = -x - 1 --------------------- Which function rule describes the pattern in the table? X: -2, -1, 0, 1, 2 Y: 14, 11, 8, 5, 2 A) y = 3x + 8 B) y = -3x - 8 C) y = 3x - 8 D) y = -3x + 8 -------------------- Thank you if you answered both correctly!
Answer:
1: C) y = -x + 1
2: D) y = -3x + 8
Step-by-step explanation:
Well number 1,
c is the correct option because,
-2 -> 2
2+1 - 3
This rule applies for all the x values.
2,
X: -2, -1, 0, 1, 2
Y: 14, 11, 8, 5, 2
d is the correct option because -3*-2 is 6 + 8 = 14.
this rule applies for all x values.
Thus,
the answers are C and D.
Hope this helps :)
compare -1/6 and -2/3
Answer:
-1/6=-0.166
-2/3=-0.66
Step-by-step explanation:
-by looking carefully you will notice that . which number is greater and smaller.
Answer:
-1/6 is greater than -2/3
Step-by-step explanation:
Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan’s line? y = 2x + 1 y = 2x + 3 y = 3x + 2 y = 3x + 5
Answer:
The answer is
y = 2x + 3Step-by-step explanation:
Equation of a line is y = mx + c
Where m is the slope
c is the y intercept
From the question the y intercept is 3
and the slope is 2
Substituting the values into the above equation
We have
y = 2x + 3Hope this helps you
The equation of a line that passes through [tex](0,3)[/tex] and a slope [tex]2[/tex] is [tex]y=2x+3[/tex].
The equation of a line that passes through a point [tex](x_1, y_1)[/tex] and slope [tex]m[/tex] is:
[tex](y-y_1)=m(x-x_1)[/tex]
Here, the point is [tex](0,3)[/tex] and the [tex]slope[/tex] is [tex]2[/tex].
So, [tex]x_1=0, y_1=3[/tex] and [tex]m=2[/tex].
So, the equation of the line is
[tex](y-y_1)=m(x-x_1)[/tex]
[tex](y-3)=2(x-0)[/tex]
[tex]y-3=2x-0[/tex]
[tex]y=2x+3[/tex]
So, option B is correct.
Learn more about equation of a line here:
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Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1 2 start fraction, 1, divided by, 2, end fraction and labeled it Polygon DDD. What is the area of Polygon DDD?
Answer:
Area of polygon D = 10 square units
Step-by-step explanation:
Given:
Polygon C has an area of 40 square units.
It is scaled with a scale factor of [tex]\frac{1}2[/tex] to form a new polygon D.
To find:
The area of polygon D = ?
Solution:
When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.
And the area becomes one-fourth of the original polygon.
Let us consider this by taking examples:
First of all, let us consider a right angled triangle with sides 6, 8 and 10 units.Area of a right angled triangle is given by:
[tex]A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units[/tex]
If scaled with a factor [tex]\frac{1}{2}[/tex], the sides will be 3, 4 and 5.
New area, A':
[tex]A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A[/tex]
i.e. Area becomes one fourth.
Let us consider a rectangle now.Sides be 8 and 10 units.
Area of a rectangle, A = [tex]Length \times Width[/tex] = 8 [tex]\times[/tex] 10 = 80 sq units.
Now after scaling, the sides will be 4 and 5 units.
New Area, A' = 4 [tex]\times[/tex] 5 =20 sq units
So, [tex]\bold{A' = \frac{1}4 \times A}[/tex]
Now, we can apply the same in the given question.
[tex]\therefore[/tex] Area of polygon D = [tex]\bold{\frac{1}{4}}[/tex][tex]\times[/tex] Area of polygon C
Area of polygon D = [tex]\bold{\frac{1}{4}}[/tex][tex]\times[/tex] 40 = 10 sq units
Answer:
Step-by-step explanation:
10
Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks
Dave and his cousin Emily are picking apples in their grandparents' orchard. Dave has filled 6
baskets with apples and is filling them at a rate of 5 baskets per hour. Emily has 9 full
baskets and will continue picking at 2 baskets per hour. Once the cousins get to the point
where they have filled the same number of baskets, they will carry them to the barn and then
eat lunch. How much fruit will they have picked by then? How long will that take?
Dave and Emily will each have filled
baskets in
hours.
Answer:
It will take 1 hour and they will have 11 baskets
Step-by-step explanation:
Dave
6 + 5h = b
Emily
9 + 2h=b
where h = hours and b = baskets
Setting the equations equal to each other
6+5h = 9+2h
Subtracting 2h from each side
6+3h = 9
Subtracting 6 from each side
3h = 3
Divide by 3
h =1
Then finding b
9+2h = b
9+2 =b
11=b
It will take 1 hour and they will have 11 baskets
On Diwali, Ranjana packed 90 chocolates in a box. She has an order of 1875 boxes. How many chocolates does she need to complete the order?
Please write it in academic style, rather than just answer.
Answer: 168,750 chocolates
Step-by-step explanation:
If there are 90 chocolates in a box and there are 1,875 boxes, you multiply 1,875 by 90 to get the total number of chocolates needed to complete the order.
1,875 * 90 = 168,750
There are 168,750 chocolates needed to complete the order.
of the CP of 15 articles equals to the SP of 12 articles, find the gain percent.
an
ple 4:
Question
If the CP of 15 articles equals to the SP of 12 articles, find the gain percent.
Answer:
gain percent = 25%
Step-by-step explanation:
To solve the question given, we will follow the steps below:
gain% = [tex]\frac{s.p - c.p}{c.p}[/tex] × 100%
But from the question;
"CP of 15 articles equals to the SP of 12 articles", this implies that
15 c.p = 12 s.p
s.p = 15c.p / 12
s.p = [tex]\frac{15 c.p}{12}[/tex] = [tex]\frac{5c.p}{4}[/tex]
s.p = [tex]\frac{5c.p}{4}[/tex]
substitute s.p = [tex]\frac{5c.p}{4}[/tex] into the formula
gain% = [tex]\frac{s.p - c.p}{c.p}[/tex] × 100%
=[tex]\frac{\frac{5c.p}{4} - c.p }{c.p}[/tex] × 100%
= [tex]\frac{\frac{5c.p - 4c.p}{4} }{c.p}[/tex] × 100%
= [tex]\frac{c.p}{4}[/tex] ÷ c.p × 100%
= [tex]\frac{c.p}{4}[/tex] × [tex]\frac{1}{c.p}[/tex] × 100%
= [tex]\frac{1}{4}[/tex] × 100%
= 25 %
Decide which chi-square test (goodness-of fit, homogeneity, or independence) would be most appropriate for the given situation.
A car insurance company performed a study to determine whether an association exists between age and the frequency of car accidents. They obtained the following sample data.
Age Group
Under 25 25-45 Over 45 Total
Number of accidents in past 3 years 0 74 90 84 248
1 19 8 12 39
1 7 2 4 13
Total 100 100 100 300
A. Test for Homogeneity.
B. Test for Independence.
C. Test for Goodness-of-fit.
Answer:
C. Test for Goodness-of-fit.
Step-by-step explanation:
C. Test for Goodness-of-fit would be most appropriate for the given situation.
A. Test Of Homogeneity.
The value of q is large when the sample variances differ greatly and is zero when all variances are zero . Sample variances do not differ greatly in the given question.
B. Test for Independence.
The chi square is used to test the hypothesis about the independence of two variables each of which is classified into number of attributes. They are not classified into attributes.
C. Test for Goodness-of-fit.
The chi square test is applicable when the cell probabilities depend upon unknown parameters provided that the unknown parameters are replaced with their estimates and provided that one degree of freedom is deducted for each parameter estimated.
Tia measured the daily high temperature in Kats, Colorado for each of the 30 days in April. She then created both a dot plot and a box plot to display the same data (both diagrams are shown below). Which display can be used to find how many days had a high temperature above 15∘ C15, degrees, start text, C, end text
*see attachment below showing the dot plot and box plot created by Tia
Answer:
Dot plot
Step-by-step explanation:
In a dot plot, the temperature of a day is represented by 1 dot. There are 30 dots on the box plot shown in the attachment that was made by Tia.
This dot plot display makes it easier to find how many days had a temperature that is higher than 15°.
Thus, from the dot plot, we have:
2 dots representing 2 days having a temperature of 16°C each
2 days also have daily temperature of 17°C
2 days have temperature of 18°C as well, and
1 day has temperature of 19° C.
Therefore, the number of days that had a temperature above 15°C is 7 days.
Answer:
Dot Plot, Box Plot
Step-by-step explanation:
I got the other guy's answer wrong but mine is right =)
Choose the equivalent system of linear equations that will produce the same solution as the one given below 4x-y=-11 2x+3y=5
Answer: x = -2 , y = 3
Step-by-step explanation:
4x-y=-11
2x+3y=5
Solve 4x-y=-11 for y
Add -4x to both sides
4x-y+-4x=-11+-4x
-y=-4x-11
Divide both sides by -1
-y/-1=-4x-11/-1
y=4x+11
Substitute 4x+11 for y in 2x +3y=5
2x+3y=5
2x+3(4x+11)=5
Simplify both sides of the equation
14x+33=5
Add -33 to both sides
14x+33+-33=5+-33
14x=-28
Divide both sides by 14
14x/14=-28/14
x=-2
Substitute -2 for x in y= 4x+11
y=4x+11
y=(4)(-2)+11
Simplify both sides of the equation
y=3
PLS HELP! A rectangle has a height of 2 and a width of 5x^2-2x+3. Express the area of the entire rectangle. Expression should be expanded.
Answer:
Expanded expression of the area of the rectangle = 10x² - 4x + 6 square units
Step-by-step explanation:
Area of a rectangle = Length × Width
Area of the rectangle = 2 × (5x² - 2x + 3)
= 2 × 5x² - 2× 2x + 2×3
= 10x² - 4x + 6 square units
Um reservatório possui inicialmente R litros de água, por conta de um vazamento, perde 5 litros a cada minuto. Indique a lei de formação de uma função que expressa a quantidade de água no reservatório em função do tempo
Answer:
A(t) = R -5(t)
t in minuto
Step-by-step explanation:
Nesta questão, estamos preocupados em estabelecer uma lei que forneça a quantidade de água presente no reservatório a qualquer momento, usando a quantidade inicial de água no reservatório e a taxa de perda de água do reservatório.
Agora, sabemos que a taxa de perda de água é de 5 litros por minuto.
Assim, podemos estabelecer a lei da seguinte forma; vamos chamar a quantidade de água a qualquer momento no reservatório A (t);
A lei é assim; A (t) = R -5t onde t representa o tempo que estamos considerando e é em minutos, enquanto R é o volume inicial de água no tanque.
Complete the sequences below :
• please explain the formula in simple words.
a) 18035, 18070 , 18105, ........... , .............. .
b) 3800, 4100, 4400, ............, ............ .
c) 17200, 18300, 19400, .............. , ............ .
Answer:
a) T(0) = 18035, D = 35, so formula is T(n) = 18035 + 35n
b) T(0) = 3800, D = 300, so formula is T(n) = 3800 + 300n
c) T(0) = 17200, D = 1100, so formula is T(n) = 17200 + 1100n
Step-by-step explanation:
They are all arithmetic progressions (AP) with a common difference, i.e. all differences of one term from the subsequent term are identical.
The general formula is
T(n) = T(0)+n*D
where
n = the term number
T(n) = nth term (considering the first term to be the zeroth term.
D = common difference
a) T(0) = 18035, D = 35, so formula is T(n) = 18035 + 35n
b) T(0) = 3800, D = 300, so formula is T(n) = 3800 + 300n
c) T(0) = 17200, D = 1100, so formula is T(n) = 17200 + 1100n
Coffee is sold in two different sized canisters. The smaller canister has a diameter of 9 cm and a height of 12 cm. The larger canister is double the size of the small canister (i.e., the diameter and height are doubled). Calculate the volume and surface area of each canister and compare the results of doubling the dimensions.
Answer:
The larger canister has 8 times the volume and 4 times the volume of the smaller one.
Step-by-step explanation:
The smaller canister has a diameter of 9 cm (radius = 4.5 cm) and height of 12 cm.
The larger canister has double the diameter and height of the smaller one. The diameter of the larger canister is 18 cm (radius = 9 cm) and height of 24 cm.
The canisters are in the shape of a cylinder.
The volume of a cylinder is given as:
[tex]V = \pi r^2h[/tex]
The surface area of a cylinder is given as:
A = 2πr(r + h)
SMALLER CANISTER
Volume = π * 4.5 * 4.5 * 12 = 763.41 cubic centimetres
Area = 2 * π * 4.5(4.5 + 12) = 2 * π * 4.5 * 16.5 = 466.53 square centimetres
LARGER CANISTER
Volume = π * 9 * 9 * 24 = 6107.26 cubic centimetres
Area = 2 * π * 9(9 + 24) = 2 * π * 9 * 33 = 1866.11 square centimetres
By reason of comparison, the larger canister has 8 times the volume and 4 times the volume of the smaller one despite having double the dimensions.
Answer:
Yeah, what they said above.
Step-by-step explanation:
I SHALL NAME THEE BRAINLIEST!! (: Pls help me. (#1) 4A - 1 = 3A + 8 solve and check (#2) 1 + F + 3 + F = F + 5 solve and check (#3) Naomi had B bushels of grain. After Ruth brought her 5 more bushels of grain, she had 11 bushels in all. How much grain did Naomi have to start with? Write an equation and solve.
Answer:
1. a=9 2. f=1 3. b=6
Step-by-step explanation:
1.) 4a-1=3a+8
subtract 3a from both sides
a-1+8
add 1 to both sides
a=9
2.) 1+f+3+f=f+5
combine like terms that are on the same side
2f+4=f+5
subtract f from both sides
f+4=5
subtract 4 from both sides
f=1
3.) construct a equation
b+5=11
subtract 5 from both sides
b=6
Find the measure of AEC and BED
Answer:
30°
Step-by-step explanation:
well AEB is a straight line which is 180° and we were already given the angles that made up the straight line ,so all u had to do was subtract 60° from 90°
BED =30°
Answer:
AEC=30
BED=30
Step-by-step explanation:
We know that AEC is 30 degrees because it is on line AB, along with a right angle and 60 degrees, add 90 to 60 to get 150, and subtract it from 180 to get your answer, 30
As for BED, AEC and BED are verticle angles so they are equivalent.
If you found this helpful, please consider giving me brainliest, it will help me a lot
Have a good day! :)
How many Real Solutions
Answer:
D.0
Step-by-step explanation:
Our system of equations is
y= x²+1y=xthen we can conclude that
x²+1 = xx²+1-x = 0x²-x+1 = 0This is a quadratic equation so we will use the dicriminant method:
Let Δ be our dicriminant
a= 1b= -1c= 1Δ = (-1)²-4*1*1 = 1-4 = -3 < 0The dicriminant is negative so this equation has no real solutions
the the system has no real solutions
Which side lengths form a right triangle?
Answer:
B
Step-by-step explanation:
sqrt30 -6^2 doesn't work
2.5 sqrt18 and 5 do work
What is the point- slope of a line with slope -5 that contains the point (2,1) ? ( TOP ANSWER GETS BRAINLEST)
Answer:
C
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 5 and (a, b) = (2, - 1), thus
y - (- 1) = - 5(x - 2) , that is
y + 1 = - 5(x - 2) → C
Answer:
y + 1 = - 5(x - 2)Option C is the correct option
Step-by-step explanation:
The general form of point slope form of line is :
[tex]y - y1 =m ( x - x1)[/tex]
Where ( x1 , y1 ) is one point on the line and m is the slope.
In the given problem,
The slope of line ( m ) = - 5
One point on the line = ( x1 , y1 ) = ( 2 , -1 )
The point slope form of the line is:
y - ( - 1 ) = - 5 ( x - 2 )
y + 1 = - 5 ( x - 2 )
Hope this helps..
Best regards!!
Nora bought a car last year so that she could drive to work after school. She spent $250 last year for gas. This year she spent $295. Disregarding other factors, what is the inflation rate? 18% 19% 20% 21%
Answer:
here,
money spent in 1st year =$250
money spent in 2nd year=$295
total inflated amount=$295- $250
=$45
Then,
inflation rate= ($45/ $250)×100%
=18%
Helppppp plzzzz ❤️❤️❤️❤️I’m crying help with my math
Answer:
A
Step-by-step explanation:
I'm certain the answer is this, and I understand that you are in a hurry. I can update it anytime you'd like to see the explanation
how to do this question plz
Answer:
Depth of the milk = 4 cm
Step-by-step explanation:
In the figure attached,
Milk carton is in the shape of a cuboid having length = 8 cm, Width = 5 cm and Height = 15 cm
Depth of the milk in the carton = 12 cm
Milk inside the carton will have the same shape of cuboid, having same length and width but a different height.
Volume of the milk = volume of the cuboid shape of the milk
= Length × width × height
= 8 × 5 × 12
= 480 cm³
Now the carton is turned with its base on the shaded region.
By changing the base, dimensions of the milk inside the carton will change but the volume of the milk will remain the same.
New dimensions of the milk inside the carton will be,
Length = 15 cm
Width = 8 cm
Height = d cm (unknown side)
By using the formula of volume again,
V = l × b × h
480 = 15 × 8 × d
480 = 120d
d = [tex]\frac{480}{120}[/tex]
d = 4 cm
Therefore, depth of the milk in the carton will be 4 cm.
Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m30.35\text{ m}^30.35 m30, point, 35, start text, space, m, end text, cubed of fluffy material. What is the length of the pillow? Give an exact answer (do not round).
Complete question is;
Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m³ of fluffy
material. The Height is 0.5 m and the
Base is 1 m.
What is the length of the pillow?
Give an exact answer (do not round)
Answer:
length of Pillow = 1.4 m
Step-by-step explanation:
This wedge will be the shape of a triangular prism. The volume of a triangular prism is given as;
V = area of base x length = ½ × base × height × length
Thus;
Volume of Wedge = ½ × base × height × length
We are given;
base = 1 m
height = 0.5 m
Volume = 0.35m³
And we want to find the Length(L)
Thus;
½ × 0.5 × 1 × L = 0.35
L/4 = 0.35
Multiply both sides by 4 to give;
L = 0.35 × 4
L = 1.4 m
length of Pillow = 1.4 m
Answer:
1.4
Step-by-step explanation:
Khan