Answer:
a. 3/2 meters
b. 15/4 times as great
Step-by-step explanation:
You want the width of a rectangle that is 3/5 m² in area and 2/5 m long. You also want to know the factor by which the length is greater than the width.
a. WidthThe formula for the area of a rectangle is ...
A = LW
Filling in the known values, we can solve for the length:
3/5 m² = (2/5 m)·L
L = (3/5)/(2/5) m = 3/2 m . . . . . . divide by the coefficient of L
The length of the rectangle is 3/2 meters.
b. Aspect ratioThe ratio of length to width is ...
length/width = (3/2 m)/(2/5 m) = (15/10)/(4/10) = 15/4
The length is 15/4 times greater than the width.
1. The measures of the angles in a triangle are in the extended ratio of 1:4:7. Find the measures of the angles.
i need help with my homework
Answer:
1 : 4 : 7
15 : 60 : 105
Step-by-step explanation:
1 + 4 + 7 = 12
180⁰ ÷ 12units = 15⁰
1 unit = 15⁰
4 units = 15⁰ × 4 = 60⁰
7 units = 15⁰ × 7 = 105⁰
Randy and two of his friends have rectangular desks of the exact same size. The sum of the perimeters of the 3 desks is 324 inches.
If the width of each of the desks is 30 inches, what is the length of each desk?
The length of each desk when the width of each of the desks is 30 inches is A. 24 inches.
How to calculate the length?From the information, Randy and two of his friends have rectangular desks of the exact same size and the sum of the perimeters of the 3 desks is 324 inches.
The perimeter for each desk will be:
= 324 / 3
= 108
The perimeter is calculated as:
= 2(length + width)
This will be
2(length + width) = 108
2(length + 30) = 108
2l + 60 = 108
Collect like terms
2l = 108 - 60
2l = 48
Divide
l = 48/2
l = 24
The length is 24 inches.
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Ahmad decided to increase his homework time of 8 hours per week by 15%,
Calculate his new homework time.
Give your answer in hours and minutes.
Answer:
it's a answer done bro
one angle of a parallelogram is 120 degrees, and two consecutive sides have lengths of 8 inches and 15 inches. what is the area of the parallelogram? express your answer in simplest radical form.
The area of parallelogram with "one angle of a parallelogram is 120 degrees, and two consecutive sides have lengths of 8 inches and 15 inches" is 60√3 inch².
What is parallelogram?A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus. A parallelogram is a geometric shape with sides that are parallel to one another in two dimensions. It is a type of polygon with four sides (also known as a quadrilateral) in which each parallel pair of sides is the same length.
Here,
A parallelogram has adjacent angles that add up to 180 degrees.
Since one angle of parallelogram is 120°.
240+2x=360
2x=120
x=60
The other will be 60°
The area of parallelogram= lh
l=15 inch
h=b(sin 60°)
=8*√3/2
h=4√3 inch
area of parallelogram= 15*4√3
= 60√3 inch²
The parallelogram's area is 60√3 inch² when "one angle of a parallelogram is 120 degrees, and two consecutive sides have lengths of 8 inches and 15 inches."
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26. Alex can complete a certain task in 10 hours. Working together, Alex and Eli can do it in 6 hours. How long will it take Eli alone to complete the task?
Eli will take 12 hours alone to complete the task.
What are distance word problems?Algebra word problems frequently take the form of distance word problems. They involve a situation in which you must determine the speed, distance, or duration of one or more objects' travels. Because one of the most well-known distance problems involves determining the precise moment when two trains traveling in opposite directions cross paths, these are frequently referred to as "train problems."distance = rate x timed = rtIn other words, the distance you traveled is equal to the time you spent driving multiplied by the speed you were traveling at.Acc to our question-
alex take 10 hrs to complete a workalex and eli both take 6 hours.distance = rate x timed = rtdistance = rate x timeeli will take 4 hrsHence,Eli will take 4 hrs.
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Use the distributive property to remove the parentheses.
3c³(7c8 +8c+7)
Simplify your answer as much as possible.
Answer: 21 c^16 + 24c^9+ 21 c^8
Step-by-step explanation: To multiply exponents with the same base, add them.
Answer:
3c^3(7c^8+8c+7)
=(3c^3)(7c^8+8c+7)
=(3c^3)(7c^8)+(3c^3)(8c)+(3c^3)(7)
=21c^11 + 24c^4 + 21c^3
Step-by-step explanation:
Remember.... ^ is for power
Este gráfico circular resume las especializaciones de los 450 miembros de una sororidad universitaria. El ángulo central el sector correspondiente a la especialización de ingeniería mide 50.4°. ¿Qué porcentaje de los miembros de la sororidad se especializan en ingeniería? No redondear.
Los miembros de la sororidad tiene un porcentaje de 14 % de estudiantes procedentes de la especialización de ingeniería.
¿Cuál es el porcentaje de estudiantes de la sororidad que pertenecen a la especialización de ingeniería?
El enunciado describe las características de un diagrama circula, en donde el 100 % de los miembros de la sororidad representan a los 360° del ángulo central del círculo, esto es, una revolución completa del círculo.
El porcentaje de los miembros que se especializan en ingeniería mediante la siguiente fórmula:
e = (E / 360°) × 100 %
Donde E es el ángulo asociado a la cantidad de estudiantes de la especialización de ingeniería, en grados sexagesimales.
e = (50.4° / 360°) × 100 %
e = 14 %
Los estudiantes que especializan en ingeniería corresponden a un porcentaje de 14 % de los miembros de la sororidad.
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i will literally do ANYTHING for doordash mcdonalds literally Anything for 20 dollars
Answer: Nice
Step-by-step explanation:
The toy store created a display of s shelves of remote control cars. Each shelf contains 16 cars. Write an expression that shows how many cars are on the display.
The expression that shows number of remote control cars on the display self is 16s.
Mathematical expressions are formed using at least two numbers, variables, and there must be one arithmetic operation, and a statement. If there are x items are given in one self and there are n number of self and we have to find total number of items in all self, then we have to multiply x by n.
Here, there are 16 remote control cars on a display self. The number of display shelves is s.
So, the total number of cars will be 16 times of s.
Number of cars on display = 16s
Therefore, the expression that shows the number of cars on display is 16s.
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Answer:
It is 16s
Step-by-step explanation:
The shaded area of the square above is what fraction of the entire square?
The fraction of the entire square that is shaded is 2/5.
What fraction of the entire square is shaded?A square is a two dimensional object that four sides that are of equal length. This means that the dimensions of the length and the width have the same value. A square has two diagonals that bisect each other at 90°.
A fraction is a non-integer that has a numerator and a denominator. The numerator is the number above and the denominator is the number below. An example of a fraction is 1/2.
Fraction = number of shaded squares / total number of squares
16 / 40
When expressed in its simplest form, the fraction becomes 2/5.
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Find quotation 1 3/4 divided by 3
Please help I think it’s 7/12
The quotation for division of 7/4 that is 1 3/4 divided by 3 will be 7/12 by the rule of division that is a/b÷c/d=a/b*d/c.
What is division?A number is divided in division, which is a straightforward operation. The simplest way to conceptualize it is as a set of objects being distributed among a set of individuals, as in the example given above. A division is the division of a given sum into equal parts. For instance, we could split a group of 20 people into four groups of 5, five groups of 4, and so on. Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. To determine how many equal groups are created or how many people are in each group, division is the primary objective.
Here,
1 3/4=7/4
7/4÷3/1,
a/b÷c/d=a/b*d/c
7/4*1/3=7/12
According to the division rule a/b÷c/d=a/b*d/c, the quotation for 7/4, which is 1 3/4 divided by 3, will be 7/12.
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Which inequality has like variable terms on each side of the inequality symbol?
Inequality which have like variables term on each side of the given inequality symbol is given by 16 - 2x > x + 16.
As given in the question,
Inequality which have like variables term on each side of the given inequality symbol is :
a. 15c + 25 ≤ 115
In the given inequality, on left hand side we have variable c and constant term while on the right hand side of the inequality only constant.
Not correct option.
b. 0.75r - 6.25 > 10
In the given inequality, on left hand side we have variable r and constant term while on the right hand side of the inequality only constant.
Not correct option.
c. 16 - 2x > x + 16
In the given inequality, on left hand side we have variable x and constant term while on the right hand side of the inequality also variable x and constant term.
Correct option.
d. 12.25h -175 < 5,000
In the given inequality, on left hand side we have variable h and constant term while on the right hand side of the inequality only constant.
Not correct option.
Therefore, inequality which have like variables term on each side of the given inequality symbol is given by 16 - 2x > x + 16.
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Caroline can make eleven lassis out of two mangoes. How many lassis can she make out of twelve mangoes?
Answer
Step-By-Step-Explanation
2 mangoes=eleven lassis
×6 ×6
12 mangoes=66 lassis
Answer=66 lassis
Dan spends
34
of his wages on rent and
18 on food. If he makes £240 per week, how much money does he have left?
Dan has money left is £30.
Given:
Dan spends 3/4 of his wages on rent and 1/8 on food.
If he makes £240 per week.
Money left = 240 - 240* 3/4 - 240 * 1/8
= 240 - 60*3 - 240/8
= 240 - 180 - 30
= 60 - 30
= 30.
Therefore Dan has money left is £30.
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Which postulate can be used to prove the two triangles are congruent?
Answer:
SAS
Step-by-step explanation:
If two sides and the included and the included angle of one triangle are congruent to two sides and the included angle of another triangle , then the triangles are congruent. The included angle is the angle formed by the two sides.
EF = BC
∠ F = ∠ C
DF = AC
then the two triangles are congruent by the SAS postulate.
Answer:
SAS
Step-by-step explanation:
On triangle one and two, they both start by having a congruent side, then a congruent angle, then another congruent side, thus making these triangles congruent by Side Angle Side.
It can't be AAS because there is only one angle, we know is congruent.
It can't be SSS because there are only two sides, we know are congruent.
It can't be HL because there is no right angle, meaning these aren't right triangles.
Which of the following would earn the same amount of interest as a $600 principal with 2.5% interest for 6 years? Question content area bottom Part 1 Select all that apply. A. $80 at 75% for 18 months B. $200 at 5% for 8 years C. $225 at 10% for 4 years D. $300 at 2% for 2 years E. $250 at 10% for 2 years
The option that would earn the same amount of interest as a $600 principal with 2.5% interest for 6 years include:
A. $80 at 75% for 18 months
C. $225 at 10% for 4 years
How to calculate the interest?It's important to note that the simple interest can be calculated thus:
= Principal × Rate × Time
Therefore, the amount of interest as a $600 principal with 2.5% interest for 6 years will be:
= PRT
= (600 × 0.025 × 6)
= $90
The interest on $80 at 75% for 18 months will be:
= $80 × 0.75 × 1.5
= $90
The interest on $225 at 10% for 4 years will be:
= $225 × 0.1 × 4
= $90
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find the general terms of the sequence 4 8 12 16
Answer: The general term is an = 4n
Step-by-step explanation:
need help on this !!!!!!!!!!!
Using the Triangle Inequality Theorem we can state that the range of z is 4 < z < 20.
What is the Triangle Inequality Theorem?The above theorem states that The length of any two sides of a triangle must sum to more than the length of the third side. That is:
12 + 8 > z.............1
12 + z > 8;.............2
8 + z > 12.............3
Solving for (1)
20 > z...............4
Solving for (2)
we have- 12 + z > 8
remove 8 from both sides and we have
4 + z > 0 or z > -4 ...............5
Solving for (3) we have
8 + z > 12
remove 8 from both sides
z > 4 .....................6
Since we can't have a negative value on a triangle, we must deal with expressions 4 and 6 which state:
20 > z; and
z > 4
Another way to write this is:
20 > z > 4; or
4 < z < 20
Hence the range of the unknown side that will form a triangle is:
4 < z < 20
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Kelly grows potatoes.
She has 2500 kg of potatoes, correct to the nearest 10kg.
Kelly is going to put the potatoes into sacks.
Each sack will contain 12. 5 kg of potatoes.
Kelly assumes that 12. 5 kg is measured correct to the nearest 0. 1 kg.
(a) Does Kelly definitely have enough potatoes to fill 200 sacks?
You must show how you get your answer
Kelly fill 200 sacks with the weight of 2000 kg potatoes and in each sack, she can fill up to 12.5 kg of potatoes.
What is weight?The gravitational attraction of an item near the Earth or another celestial body toward the center of the body. The weight of an item is determined by its mass and the strength of the gravitational force. We use the following generic formula to compute weight: W = mg. Where 'W' is the object's weight,'m' is the object's mass, and 'g' is the acceleration due to gravity. The value of g on Earth is 9.8 m/s2. The most frequent definition of weight is the force imposed by gravity on a body.
Here,
weight of potatoes she has=2500 kg
weight of each sack that contain the potatoes=12.5 kg
with this, she can fill,
=2500/12.5
=200 sacks
Kelly fills 200 sacks with 2000 kg of potatoes, and each sack can hold up to 12.5 kg of potatoes.
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Write an absolute value equation representing all numbers x whose distance 7 is 3 units
Answer:
|x-7|=3
Step-by-step explanation:
x is 3 units away from 7
x-3=7
x-7=3
x+3=7
3=7-x
|x-7|=3
What are the missing segment lengths shown in the image?
The length of the missing ,line segments show in the image are AC = CD = 10√2 and AB = BC = 10 .
In the question ,
a figure is given , we have to find the length of the missing line segments .
From the given figure
the Δ ACD is a right triangle ,
given that ∠A and ∠D are equal
so , their corresponding length AC and CD will be equal , that is AC = CD
So , By Pythagoras Theorem
AC² + CD² = AD²
2*AC² = AD²
2*AC² = (20)²
2*AC² = 400
AC² = 400/2 = 200
AC = √200
AC = CD = 10√2
The triangle ABC is also right triangle
and ∠A and ∠C are equal
so , their corresponding length AB and BC will be equal , that is AB = BC
So , By Pythagoras Theorem
AB + BC = AC
2*AB² = AC²
2*AB² = (10√2)²
2*AB² = 200
AB² = 200/2 = 100
AB = √100
AB = 10 = BC
Therefore , The length of the missing line segments show in the image are AC = CD = 10√2 and AB = BC = 10 .
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al would take six hours to paint a wall working alone, while bob would take four hours to paint it, and chuck would take three hours to paint it. al starts painting at noon. at 1:00 pm, bob joins him. chuck joins them at 1:30 pm. at what time do they finish painting the wall?
At 2:20 pm they finish the paint of wall.
Given, Al took 6 hours to paint a wall.
Bob took 4 hours and Chuck took 3 hours for same.
Let the work of painting wall is = LCM(6,4,3) = 12 Units
So in 1 hour Al works = 12/6 = 2 units
In 1 hour Bob works = 12/4 = 3 units
In 1 hour Chuck works = 12/3 = 4 units
In 1 hour, Al and Bob together do = 2+3 = 5 units
In 1 hour, all three together do = 2+3+4 = 9 units
Now from noon i.e. 12 to 1.00 pm Al works alone.
So 2 units of work is done.
From 1 pm to 1.30 pm, Al and Bob work together.
In 30 minutes i.e. ½ hour Al and Bob did = (1/2)*5 = 5/2 units
From 1.30 pm they all three work together.
Now the remaining work is = 12-(2+5/2) = 12-9/2 = 15/2 units
So they complete rest in = (15/2)/9 = 5/6 hours = 50 minutes
Hence the time of finishing the work = 1.30 + 50 minutes = 2.20 pm.
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The ratio of the number of beads collected by Jane to the number of beads collected by Jill is 7: 3. Jane gave some beads to Jill. Is it possible for both Jane and Jill to have the same number of beads after Jane gave some beads to Jill? Explain why you think so
yes , it is possible for both Jane and Jill to have the same number of beads after Jane gave some beads to Jill and The number of beads Jane has is 7t/4 and Jill has 3t/4 bead's
The ratio of Jane's beads to Jill's beads is 7: 3
Let x be the number of beads Jane has
y be the number of beads Jill has
x/y = 7/3
When Jane's gives t of her beads away both will have the same number of beads so
x - t = y
substituting in the first equation
x/ ( x- t) =7/3
3x= 7x-7t
4x= 7t
x= 7t/4
y= 7t/4 -t
= 3t/4
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A balloon was originally filled to a volume of 4,400 cubic centimeters. air inside the balloon leaks out over time. write an inequality that describes v, the volume of the balloon in cubic centimeters as air leaks out.
Answer:
V<4400
Step-by-step explanation:
Answer:
the answer is V<4,400
if you are using khan academy, do not add the comma for 4,400, otherwise it will not work.
khan academy answer: V<4400
Step-by-step explanation:
if the air leaked out, which is V, that means V would be less than 4,400 because 4,400 is what we have started with.
Therefore, the inequality would be V<4,400 or for khan academy, V=4400
If the area of the rectangle is 42 square units, what is the area of the shaded part?
Answer: 16
Step-by-step explanation:
The first triangle has an area of [tex]\frac{1}{2}(7)(2)=7[/tex].
The second triangle has an area of [tex]\frac{1}{2}(6)(3)=9[/tex].
Adding these areas together yields an area of 16.
To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining. Which equations could you use to find the price of one tire patch? Select all that apply. 4x – 1.9 = 22.2 4x – 22.2 = 1.9 4x + 1.9 = 22.2 4x + 22.2 = –1.9 22.2 – 4x = 1.9
The equation that can be used to find the price of one tire patch is 22.20 - 4x = 1.90 and 4x + 1.90 = 22.20
What is an equation?An equation is an expression showing the relationship between two or more numbers and variables.
Rhyan paid using a gift card that had $22.20 on it.
Let x represent the cost of each tire patch needed for the mountain biking trip. Rhyan bought four tire patches and had $1.90 remaining. Hence:
22.20 - 4x = 1.90
4x + 1.90 = 22.20
The equation is 22.20 - 4x = 1.90
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the hypotenuse of a triangle is 4x one of the legs . the other leg in 3(sqrt 5 units. find the length of the hypotenus?
The length of the hypotenuse is 4√3 units.
Given that hypotenuse is 4 times the length of one leg of a triangle. So here we can assume that length to be x. Hence the hypotenuse length is 4x. To calculate hypotenuse we have the formula a²=b² + c², where b and c are two sides of the triangle and a is the hypotenuse. If we put these values in the formula we get,
16x² = x² + (3√5)²
15x² = 45
x² = 3
x = ±√3
Since length cannot be negative, the final value of x = √3, and since the length of the hypotenuse was 4x, the final value of the hypotenuse is 4√3.
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(2x-5)(x+2) write the area as a product and a sum
Answer:
2x^2 -x -10 is the answer as a product
3x-3 as a sum
Step-by-step explanation:
Assuming (2x-5)(x+2)=0
Let's distribute.
(2x^2+4x)(-5x-10)=0
Then combine like terms
2x^2 -x -10 is the answer as a product
3x-3 as a sum
what if n is negative what is the value of the equation below n(2)+8 divided by 4 = 11
If n is negative the value of the equation that we have below would be -18
How to solve the equationWe have to rewrite the equation in a way that it would be easier to understand first.
[tex]\frac{-2n+8}{4} =11[/tex]
Next we would have to cross multiply
this would give us
-2n + 8 = 11 * 4
-2n + 8 = 44
take the like terms
-2n = 44 - 8
-2n = 36
divide through by -2 from the above
-2n / -2 = 36 / -2
n = - 18
Therefore given that we have that the value of the equation after n is negative is -18.
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An aabbccddeeff individual is crossed with an individual with the genotype aabbccddeeff. What is the probability that their offspring will have the genotype aabbccddeeff?.
When an aabbccddeeff individual is crossed with an individual with the genotype aabbccddeeff, the probability that their offspring will have the genotype aabbccddeeff would be 1/64.
The genotype of an organism refers to the complete set of genetic material. An offspring's genotype is the result of the combination of genes from their parents. In order to obtain the overall probability, individual probabilities for each locus will be multiplied. The Parent cross would be AABbccDdEeFF x AaBBCCDdEeff and offspring would be AaBbCcddEEFf.
The A locus cross is AA x Aa, half of the offspring will be AA and half of the offspring will be Aa. Hence, the probability of Aa would be ½.The B locus cross is Bb x BB, half of the offspring will be BB and half of the offspring will be Bb. Hence, the probability of Bb is ½. The C locus cross is cc x CC. All of the offspring will be Cc. Hence, the probability of Cc is 1.The D locus cross is Dd x Dd. One-fourth of the offspring will be DD, one half of the offspring will be Dd, and one-fourth of the offspring will be dd. Hence, the probability of dd is ¼.The E locus cross is Ee x Ee. One-fourth of the offspring will be EE, half of the offspring will be Ee, and one-fourth of the offspring will be ee. Hence, the probability of EE is ¼.The F locus cross is FF x ff. All of the offspring will be Ff. Hence, the probability of Ff is 1.Multiplying all the probability:
½ * ½ * 1 * ¼ * ¼ * 1 = 1/64
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