The perimeter of a rectangle is 60. The length is twice the width. Find the length and width.
Answers
Step-by-step explanation: Our first task in this problem is to setup variables representing length and width and we do that by using the second sentence.
The length is twice the width
So if we call our width x, that means that our length is 2 times x or 2x
Width of the rectangle ⇒ x
Length of the rectangle ⇒ 2x
Before moving on, go ahead and draw a picture of your
rectangle so that you can visualize what's going on.
I have done this for you below.
We label our widths x and our lengths 2x.
Now we can use the first sentence to setup our equation.
The perimeter of a rectangle is the distance
around the outside of the figure.
So if our perimeter is 60, that means that x + x + 2x + 2x = 60.
Simplifying by combining like terms, we get 6x = 60.
Now dividing both sides by 6, we find that x = 10.
Since x represents width, our width is 10.
Our length therefore with be 2(10) or 20.
So our width is 10 and our length is 20.
Related Questions
Given that triangle PQR congruent triangle STU, , what is the measure of angle U ?
Answers
Because every triangles angles equal up 180°
And all you really gotta do is add up the two angles shown 86° + 42° and you get 128°
Then you subtract that from 180°
180° - 128°
and you get 52°
Answer: B or 52 degrees...
Step-by-step explanation:
Congruent means to have identical properties and because triangle PQR is congruent to triangle STU, their angles are also congruent.
In the theorem AAA, angle P is congruent to S, angle Q is congruent to T and angle R is congruent to U.
The sum of the angles in a triangle is 180 degrees and so you would do 180-86-42 which would get you to 52 degrees and that is the answer.
Help would be much appreciated
Answers
Answer:
Given
Step-by-step explanation:
Question 1)
Answer is c) 12.94 units
Because,
The sides will be √20,√20 and 4 units, so you add them
You get √20 through Pythagorean theorem √(2^2 + 4^2)
= 4.47
Question 2)
Answer:
3x^2 + 4y^0 +x^-1
Substitute the values,
3*(4)^2 + 4*(5)^0 + (4)^-1
3*16 + 4*1 * 1/4
( Any number raised to 0 is 1
4^-1 = 1/4^1 )
= 49
Answer:
Option C
49
Step-by-step explanation:
sides of triangle:
4√2²+4²=√20=4.47√2²+4²=√20=4.47P=4+4.47*2=12.94
Option C is correct
================
x=4, y=5
3x²+4y⁰×x⁻¹=3×4²+4×5⁰×4⁻¹=48+1=49
what is the recursive formula for this geometric sequence 2, -10, 50, -250
Answers
Answer:
[tex]T_n = \left \{ {{T_1=2} \atop {T_n =-5T_{n-1}}} n>1 \right.[/tex]
Step-by-step explanation:
Given
Geometric sequence: 2, -10, 50, -250
Required
Recursive formula of the sequence
We start by naming each sequence
[tex]T_1 = 2\\T_2 = -10\\T_3 = 50\\T_4 = -250[/tex]
Represent each term in relation to the previous term (except T1)
[tex]T_1 = 2\\T_2 =2 * -5\\T_3 = -10 * -5\\T_4 = 50 * -5[/tex]
Recall that
[tex]T_1 = 2\\T_2 = -10\\T_3 = 50\\T_4 = -250[/tex]
So, at this point; we have to make substitutions
[tex]T_1 = 2\\T_2 =T_1 * -5\\T_3 = T_2 * -5\\T_4 = T_3 * -5[/tex]
Subtract 1 from each term on the right hand side
[tex]T_1 = 2\\T_2 =T_{2-1} * -5\\T_3 = T_{3-1} * -5\\T_4 = T_{4-1} * -5[/tex]
Replace each term greater than 1 by n
[tex]T_1 = 2\\T_n =T_{n-1} * -5\\T_n = T_{n-1} * -5\\T_n = T_{n-1} * -5[/tex]
Remove repetition
[tex]T_1 = 2\\T_n =T_{n-1} * -5[/tex]
[tex]T_1 = 2\\T_n =-5T_{n-1}[/tex]
Hence, the recursive formula is
[tex]T_n = \left \{ {{T_1=2} \atop {T_n =-5T_{n-1}}} n>1 \right.[/tex]
can you please help me! In a triangle, a segment is drawn joining the midpoint of two sides. What is true about this segment? a. Its length is equal to the 3 rd side. b. Its length is twice the 3 rd side. c. It is parallel to the 3 rd side. d. It is ⊥ to the 3 rd side.
Answers
Answer: The right answer for the question that is being asked and shown above is that: "Its length is twice the 3rd side." In a triangle, a segment is drawn joining the midpoint of two sides. The statement that is true about this segment is that Its length is twice the 3rd side
Step-by-step explanation:
Answer: Its length is twice the 3rd side.
Stephan has a piece of wood that measures 18 inches long and 12 inches wide. He wants to make a tray with sides 2 inches high. Maurice says that he can make a tray that has a base measuring 101/2 inches by 101/2 inches. Is he correct? Use the drop-down menus to explain your answer.
Answers
Answer:
He is wrong, because for 2 inches of height, the peice of wood for base has smaller width than the width required for the base Maurice wants to make.
Step-by-step explanation:
Length of wood = 18 inches
Width of wood = 12 inches
If height of the table is needed = 2 inches
2 inches are reduced from each side of the piece of wood.
The new measurement become:
Length of wood = 18 - 2 - 2 inches
Length of wood = 14 inches
Width of wood = 12 - 2 - 2
Width of wood = 8 inches
Maurice wants to make a table with following dimensions:
Base = [tex]10\frac{1}{2}\cdot10\frac{1}{2}[/tex]
which means
Length required = [tex]10\frac{1}{2} = \frac{21}{2}=10.5 inches[/tex]
Width required = [tex]10\frac{1}{2} = \frac{21}{2}=10.5 inches[/tex]
As width is greater than the width of the piece of wood , he cannot make a table of such dimension from it.
Lee did 4/5 of her homework in 5/6h. How long will it take to complete all her homework?
Answers
4/5 of the homework = 5/6 hr
1/4 of the homework = 5/6 ÷ 4
5/5 of the homework = 5/6 ÷ 4 × 5
5/6 ÷ 4 × 5 = 25/24 hrs which is 1 and 1/24 of an hr
answer: 1 and 1/24 of an hr
20 cm
8 cm
8 cm
20 cm
15 cm
Find the area of the arrow above.
(?] square centimeters
Enter
Answers
Answer:
610 cm²
Step-by-step explanation:
This is an irregular figure. We can split it up by the triangle and the rectangle on the bottom.
To find the area of the triangle, we must determine the base length. As we can see, the bottom of the arrow has the measure 15 cm, and you can see that the missing section in the base of the triangle is the same measure. Now we find the measure of the base by adding 15 + 8 + 8, which equals 31 cm.
Now we multiply and divide by 2 to find the area of the triangle:
20*31 * 1/2
= 310 cm²
Now, we find the area of the rectangle. We can see that its dimensions are 15 by 20. We can plug these values into the rectangle formula:
A = 15*20
A = 300 cm²
Now we add these values to find the total area:
310 cm² + 300 cm²
= 610 cm²
A line has a slope of 2 and passes through the point (-2,8). What is the equation of the line?
Answers
Answer:
y-8=2(x+2)
Step-by-step explanation:
Equation of a line is easy once you get the hang of it. State with the point slope form y-y2=m(x-x2) Simply plug in the points given to get the equation.
PLEASE HELPPPPP MEEEE!!
Answers
Answer:
1. 2^6 x 2^4= 2^10
2. 5^3 x 5^8= 5^11
3. c^7 x c^2= c^9
4. r^2 x r= r^3
Answer: 1. 1,024. 2. 148,828,125. 6. 1. 7. 1.
Step-by-step explanation:
1. 2 x 2 x 2 x 2 x 2 x 2 = 64.
2 x 2 x 2 x 2 = 16.
64 x 16
1,024.
2. 5 x 5 x 5 = 125.
5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390,625.
125 x 390,625
48,828,125.
6. c x c x c x c x c x c x c = 1.
c x c = 1.
1 x 1
1.
7. r x r = 1.
r = 1.
r x r = 1.
Four statistics professors and six chemistry professors are available to be advisors to a student organization. The student organization needs two of the professors to be advisors. If each professor has an equal chance of being selected, what is the probability that both professors are chemistry professors?
Answers
Step-by-step explanation:
Total professors = 10
Probability of chemistry professors = 2/6 = 1/3
There was 1/5 of a gallon of lemonade in the refrigerator. Kelly poured equal amounts into 4 cups . How much lemonade was in each cup ?
Answers
Answer:
1/20 gallon per cup
Step-by-step explanation:
Can you please explian how this would be right I'm not understanding at all
Answers
Answer: 2 marbles
Step-by-step explanation:
Look at the scale. On the right there are 3 less squares. But there are more marbles! So, if you subtract three marbles (the ones that would make it equal to the left) and divide the marbles by 3 squares, you get 2!
PLEASE MARK BRAINLIEST
Answer:each box should weigh as much as 2 marbles
Step-by-step explanation:
On the first side of the scale theres a 5 next to the box and im assuming that means that there are 5 boxes on the first side of the scale. 5 boxes that each weigh 2 marbles + the 3 marbles that are already there = 13 marbles total
On the second side of the scale there are 9 marbles and 2 boxes. 2 boxes that each weigh 2 marbles + 9 marbles that are already there = 13 marbles total
So the scale will be balanced because there is 13 on each side
The multiplicative inverse of (-4)⁻² is (4)⁻². True False
Answers
Answer: false
Step-by-step explanation:
The exponents would have to have a different sign from each other (positive or negative), not the integer.
If F(x) = log 5 2x, find F^-1(x). a. 5^y=2x b. 5^2y=x c. y = (5^x)/2
Answers
Answer:
y = [tex]\frac{5^{x} }{2}[/tex]
Step-by-step explanation:
y = log 5 2x
inverse ------> y=x
x = log 5 2y
[tex]5^{x} = 2y[/tex]
y = [tex]\frac{5^{x} }{2}[/tex]
Answer:
y = ([tex]5^{x}[/tex] )/2
Step-by-step explanation:
Hope This Helps!!
Please helpppp what is the solution to the system of equations
Answers
Answer:
The third one
Step-by-step explanation:
The two cross sections shown are taken parallel to their respective bases. The cross sections have the same area. If the
heights of the two solids are equal, find the volume of the cylinder. Round your answer to the nearest hundredth.
A. 465.10 cm³
B. 480.08 cm³
C. 489.40 cm³
D. 498.04 cm³
Answers
Answer:
c
Step-by-step explanation:
segment if a is a perpendicular bisector of segment BD if the measure of angle frd is represented by the expression 7x + 6 find the value of x
Answers
Answer:
x = 12
Step-by-step explanation:
If it is a perpendicular bisector, then the intercepting angles are always 90°.
If that is the case then we simply set the expression 7x + 6 equal to 90 and solve for x. We should get 12 as our answer.
Find the distance between two points (2,-3)and (2-,4). what is the answer?
Answers
Answer: 1 squealer apart if on a square grid
Step-by-step explanation:
Answer:
The distance is 1
Step-by-step explanation:
Since the x coordinates are the same, we only need to look at the y coordinates
-3 - -4
-3 +4
1
PLZ HELP!!!!!!!!!!!!!!!!!!
The figure shows the letter Z and four of its transformed images—A, B, C, and D:
A coordinate plane is shown. The letter Z has endpoints at negative 6 comma 3, negative 6 comma 1, negative 4 comma 1 and negative 4 comma 3 and has a diagonal line that goes from top right to bottom left in between. A is a shape that has endpoints at 4 comma 3, 4 comma 1, 6 comma 3 and 6 comma 1 and has a diagonal line that goes from top left to bottom right. B has endpoints at negative 6 comma negative 1, negative 6 comma negative 3, negative 4 comma negative 1 and negative 4 comma negative 3 and has a diagonal line that goes from top right to bottom left. C has endpoints at negative 3 comma negative 1, negative 3 comma negative 3, negative 1 comma negative 1, negative 1 comma negative 3, and has endpoints that go from top left to bottom right. D has endpoints at 2 comma negative 1, 2 comma negative 3, 4 comma negative 1, and 4 comma negative 3 and has a diagonal that goes from top right to bottom left.
Which of the four images was formed by a reflection of the letter Z?
A
B
C
D
heres the pic
Answers
Answer:
Step-by-step explanation:
The answer is C
Answer:trust me its c
Step-by-step explanation:
I took the test and aced it
Which of the following best describes a line? A. The set of all points in a plane at a given distance from a given point B. The set of all points in a plane that are equidistant from a given point and a given line C. The set of all points in a plane that are equidistant from three points D. The set of all points in a plane that are equidistant from two points
Answers
Answer: B. A line is the set of all points in a plane at a given distance from a given point.
Step-by-step explanation:
There is no step by step but hope it helps! :)
A bowl contains 5 red balls and 5 white balls. Dorothy selects balls at random without looking at them. How many balls must she select to be sure she has at least two red balls?
Answers
Answer:
7
Step-by-step explanation:
To find the answer, consult the worst case. The worst thing that can happen is Dorothy selects the 5 white balls first. Now, only red balls remain. Since Dorothy can only select red balls, the first 2 balls she will pick will be red. 5+2=7. Dorothy must select 7 balls to be sure she has at least 2 red balls.
The number of balls that Dorothy must select to be sure she has at least two red balls is 6.
How many balls must she select to be sure she has at least two red balls?To be sure Dorothy has at least two red balls, we need to consider the worst-case scenario where she selects all the white balls before selecting any red balls.
Since there are 5 red balls and 5 white balls, the probability of selecting a red ball on the first draw is 5/10 or 1/2. If Dorothy selects a white ball on the first draw, the probability of selecting a red ball on the second draw is 5/9 since there will be 5 red balls and 9 balls in total remaining in the bowl.
In the worst-case scenario, Dorothy selects all 5 white balls first, so she needs to draw at least 6 balls to be sure she has at least two red balls. This is because on the sixth draw, there will be 5 red balls and 4 white balls left in the bowl, ensuring that she gets at least two red balls.
Therefore, the number of balls Dorothy must select is at least 6 balls to be sure she has at least two red balls.
Read more about probability here: https://brainly.com/question/25870256
#SPJ2
ABC is reflected over the y-axis. What are the vertices of
A' B' C' ?
A (0-2), B'(-2,-4). C'(-5, -1)
A(-2,0), B(-4, 2), C (-1, 5)
A' (0.2). B (-2,4), C'(-5,1)
A'(0, 2). B' (2, 4). C'(5.1)
Answers
Answer:
The answer is the first option.
Step-by-step explanation:
When you flip it over the y axis. A would still be the same. ANd the first one matches A.
What is the rate of change in the table?
Answers
Answer:
3
Step-by-step explanation:
Answer:
1
From -2 to 0 there is 2, but from 1 to 3 there is also 2, so 2/2=1
Find the volume round to the nearest tenth
Answers
Answer:
Step-by-step explanation:
Volume of a sphere:
V = 4/3 x pi x r^3
5. 3053.63mm^3
18 / 2 = 9mm = radius
4/3 x pi x 9^3 = 3053.628
8. 11494.04mm^3
28 / 2 = 14mm
4/3 x pi x 14^3 = 11494.040
It is 3:00pm here, and Australia is 13 hours ahead of us. What time is it in Australia?
2:00 am
3:00 pm
4:00 am
5:00 am
Answers
Answer:
4 am
Step-by-step explanation:
Answer:
4:00 AM
Step-by-step explanation:
15:00 + 13:00
28:00
24:00+4:00
00:00+4:00
4:00 AM
Need help fast please
Answers
Answer:
Vijays temperature was 4 degrees warmer
Step-by-step explanation:
the difference between -18 and -22 is +4
Answer:
Vijay's temperature was warmer by 4 degrees celsius.
Step-by-step explanation:
-18 + 22 = +4
I hope this helps!
-Bella
BrainlyBluebell
If y = 2x - 3 , what is the value of x
when y = 1?
A-1
B 1
© - 2
D 2
Answers
Explanation:
1=2x-3
4=2x
2=x
Answer:
D. 2
Step-by-step explanation:
We know that y=2x-3. We want to find out what the value of x is when y=1. Therefore, we can substitute 1 in for y in the equation.
Equation: y=2x-3
Substitute 1 in for y: 1=2x-3
Now, solve for x.
1=2x-3
3 is being subtracted from 2x. The inverse of subtraction is addition. Add 2 to both sides.
1+3=2x-3+3
1+3=2x
4=2x
x is being multiplied by 2. The inverse of multiplication is division. Divide both sides by 2.
4/2=2x/2
4/2=x
2=x
The correct answer is D. 2
helppppppppp me please :(
Answers
Answer:
12.57cm
Step-by-step explanation:
circumference =2^r
=2×22/7×2
=12.57cm
-5 5/8 + 3 1/2
A: -3 1/8 B: -2 1/2 C: -2 1/8 D: -7/8
ASAP
Answers
Answer:
C
Step-by-step explanation:
You take the fractions and turn them into mixed numbers. You do that by multiplying the whole number with the denominator and adding the numerator for the new numerator and the denominator stays the same. Now, you'd get -45/8 + 7/2. Change the denominator of the second one to 8 so you can add them, do this by multiplying the numerator and denominator by 4. Now you get -45/8 + 28/8. -45 +28 is -17 so your answer is -17/8. If you need it In mixed form, 8 goes into -17 2 times so you get -2 and the remainder 1/8 so -2 1/8.
-2 1/8
666.6 to nearest integer
Answers
Answer:Redondeo al entero más cercano, ejemplos. Denotemos por ρ a la función de un argumento real que lo redondea un número real más cercano: ρ(7.394) = 8,.
Step-by-step explanation:
Answer:
667
Step-by-step explanation: