Answer:
The length is 25 units and the width is 11 units
Step-by-step explanation:
Let the length of the rectangle be l.
Let the width of the rectangle be w.
We are given that the length of the rectangle is three times more than twice its width. This means that:
l = 3 + 2w
The perimeter of a triangle is given as:
P = 2(l + w)
This implies that:
P = 2[(3 + 2w) + w]
P = 2(3 + 3w)
We can use this to find the width of the rectangle and then the length.
The perimeter of the rectangle is 72 units.
Therefore:
72 = 2(3 + 3w)
72 = 6 + 6w
=> 6w = 72 - 6 = 66
w = 66 / 6 = 11 units
The length, l, is therefore:
l = 3 + 2(11) = 3 + 22 = 25 units
Factorise this expression as fully as possible
4x^2+x^3
Answer:
x^2(4+x)
Step-by-step explanation:
you have to factor out x^2 off both equations since that's the only thing that you can divide off the equations
Triangle RST is rotated using the origin as the center of rotation. The preimage and image are shown in the graph below.
On a coordinate plane, triangle T R S has points (negative 2, negative 3), (2, negative 3), (0, negative 5). Triangle T prime R prime S prime has points (3.5, 0.8), (0.7, 3.8), (3.5, 3.8).
The figure is rotated counterclockwise. Which rotation could have taken place?
a 45° rotation
a 90° rotation
a 135° rotation
a 225° rotation
Answer:
a 135° rotation.Step-by-step explanation:
As you can observe in the image attached, the preimage RST is a tringle "pointing" to the negaitve side of the vertical axis (taking point S as reference).
The transformed triangle R'S'T' is pointing to the diagonal of the first quadrant, with a 45°, approximately.
The rotation needed in such transformation would be 90° + 45° = 135°, becasue from -y to +x there're 90°, then we rotate 45° to reach the position of R'S'T'.
Therefore, the right asnwer is a 135° rotation.
Answer:
a 135° rotation.
Step-by-step explanation:
As you can observe in the image attached, the preimage RST is a tringle "pointing" to the negaitve side of the vertical axis (taking point S as reference).
The transformed triangle R'S'T' is pointing to the diagonal of the first quadrant, with a 45°, approximately.
The rotation needed in such transformation would be 90° + 45° = 135°, becasue from -y to +x there're 90°, then we rotate 45° to reach the position of R'S'T'.
Therefore, the right asnwer is a 135° rotation.
A town has population of 5000 and grows 3.5 percent every year. What will be the population after 15 years , to the nearest whole number?
Answer:
After 15 years the population will be 7,625
Step-by-step explanation:
3.5% of 5,000 = 175
175 x 15 = 2625
2625 + 5,000 = 7625
The population after 15 years should be 8,376
Calculation of the population:Since the population is 5,000 and it grows 3.5 years and the time period is 15 years
So, the population after 15 years is
[tex]= 5,000 \times (1 + 3.5\%)^{15}\\\\[/tex]
= 8,376
Therefore, we can conclude that The population after 15 years should be 8,376
Learn more about population here: https://brainly.com/question/24309536
A survey in one middle school showed that 3 out of 5 students enjoy biking on the weekends. Predict how many out of the 972 students in the school would say they enjoy biking on the weekends.
(3/7)*(1/10)-(3/7)*2/5+3/7*1
solve the above-using propeties of rational numbers..
pls give the ans fast..
it's very urgent...
pls don't give wrong ans...
Answer:
[tex]\frac{- 39}{70}[/tex]
Step-by-step explanation:
{[tex]\frac{3}{7}[/tex] x [tex]\frac{1}{10}\\[/tex]} - { [tex]\frac{3}{7}[/tex] }x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1
We follow the BODMAS rule
= [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1
= [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7\\}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1
= [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7\\}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex]
= [tex]\frac{3}{70}[/tex] - [tex]\frac{6}{35}[/tex] + [tex]\frac{3}{7}[/tex]
= [tex]\frac{3}{70}[/tex] - [tex]\frac{6}{35}[/tex] + [tex]\frac{3*5}{7*5}[/tex] LCM= 35
= [tex]\frac{3}{70}[/tex] - [tex]\frac{6 + 15}{35}[/tex]
= [tex]\frac{3}{70}[/tex] - [tex]\frac{21}{35}[/tex]
= [tex]\frac{3}{70}[/tex] - [tex]\frac{21*2}{35*2}[/tex] LCM= 70
= [tex]\frac{3 - 42}{70}[/tex]
= [tex]\frac{- 39}{70}[/tex]
Correct answers only!
To the nearest cent, how much interest will he earn in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer: $8.40
Step-by-step explanation:
The problem states that Scott has deposited $40 and is earning 10% interest, annually. It asks how much interest he will earn in 2 years to the nearest cent.
First, the formula given is B=p(1+r)^t. Since Scott deposits $40, 40 would be the starting amount, p.
B=40(1+r)^t
R is the interest rate: 10%. We plug in 0.10 instead of 10% because r is the interest rate, not the percentage.
B=40(1+0.10)^t
T is time: 2 years
B=40(1+0.10)^2
Now that we have the equation filled out, we plug this into a calculator.
48.4=40(1+0.10)^2
We know that the final amount is $48.40. Unfortunately, the question is asking how much interest is earned. To find that, you would subtract the Final-Initial to get the interest.
48.4-40=8.4
8 − (−11) = ? ..................................................................................................................
Answer:
+19
Step-by-step explanation:
8-(-11)= 8+11
8-(-11)=+19
Answer:
19
Step-by-step explanation:
8 - ( -11) =
8 + 11 =
19
The two negatives combine to make a positive.
What is a set of ordered pairs
Answer:
A relation is a set of ordered pairs. The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs is called the range of the relation.
Step-by-step explanation:
Jeremy’s dad is making cupcakes for his birthday. He needs 50 cupcakes in all. So far he made 13 chocolate cupcakes and 15 vanilla cupcakes. How many more cupcakes must he make?
Answer:
22 cupcakes
Step-by-step explanation:
13+15=28
50-28=22
Answer:
22 cupcakes
Step-by-step explanation:
First, let's find how many cupcakes he has already made.
He made 13 chocolate and 15 vanilla. If we add them together, we can find how many he has made total.
13+15=28
So far, he has 28 cupcakes.
He needs 50 cupcakes, and he has already made 28. The difference of the two numbers will be how many he must still make.
Subtract 28 from 50
50-28=22
So, he still has to make 22 cupcakes
Write the standard form of the line that passes through the given points. (-3,5) and (-2,-6)
Answer:
Step-by-step explanation:
What you’ll do is subtract -3 and -2 and then subtract 5 and -6
Round to nearest hundreth
The area of a circle is 4π x 2 + 12πx + 9π.
a. What is an expression for the radius of the circle?
b. What is the least possible integer value of x for the circle to exist? Explain.
Answer:B D
Step-by-step explanation:
I just got it right
a knife is 3 times the cost of spoon
9 spoons and 12 knives cost £82.80
Answer:
5 .52
Step-by-step explanation:
do the math. aaaaaaaaaaaaaaaaaaaannnnnnnnnnnnnnnnnddddddd this is the best appppp evvvvver
Need help someone help !
Answer:
A = 2x^2 + 2x - 12
Step-by-step explanation:
A = (2x-4)(x+3)
(use FOIL to solve)
A = 2x^2 + 2x - 12
Which of these situations can be considered a binomial experiment?
A.
Drawing one marble from a bag containing 12 red and 8 blue marbles (replacing after each draw) until you have drawn 5 blue marbles
B.
Asking 25 students how tall they are and recording their answers
C.
Rolling a single number cube until you get a 5
D.
Tossing a coin 50 times and recording the number of times it lands on heads
Answer:
D. Tossing a coin 50 times and recording the number of times it lands on heads
Step-by-step explanation:
It is best to analyze each option and see if it meets the conditions of a binomial experiment or not, the most important thing is that the binomial distribution can be used when the results of each experiment / trace in the process are yes / no or success / failure .
A. Drawing one marble from a bag containing 12 red and 8 blue marbles (replacing after each draw) until you have drawn 5 blue marbles
Does not meet the conditions, although there are two options, The tests are not independent of each other. The result of one test does affect the results of subsequent tests. because there is a replacement.
B. Asking 25 students how tall they are and recording their answers
There are not two options
C. Rolling a single number cube until you get a 5
There are not two options
D. Tossing a coin 50 times and recording the number of times it lands on heads
Yes there are two options and they are events are independent of each other, therefore it is the correct answer.
Answer:
D. Tossing a coin 50 times and recording the number of times it lands on heads
Step-by-step explanation:
A P 3 X
Please help me any thing you can do just help me
Answer:if u need help go to a Psychiatric hospital
Step-by-step explanation:
hey can anyone pls help me out in dis i will give 30 points!!!!!
Answer:
First box = I would use the slope formula. The slope formula is y2 - y1/x2 - x1.
Second box horizontally = the method I would use is using the slope formula
Second row of boxes = I would graph it using the computer.
There are 81 women teachers at Russell High. If 45% of the teachers in the school are women, how many teachers are there at Russell High?
Answer:
180 teachers
Step-by-step explanation:
In this case, we know the value corresponding to 45% of female teachers which is 81, therefore, to find the total it would be:
% teachers #teachers
45 81
100 x
we apply the rule of three:
x = 100 * 81/45
x = 180
which means that there are a total of 180 teachers at Russell High
Simplify, and then write in exponential form. Do not evaluate.
(7^2)^4
Answer:
7^8
Step-by-step explanation:
(7^2)^4
We know a^b^c = a^(b*c)
(7^2)^4 = 7^(2*4)
= 7^(8)
What is the volume of this rectangular prism?
-
4.8 cm
4.1 cm
15 cm
Answer:
295.2 cm^3
Step-by-step explanation:
Volume of a prism = length * width * height.
Here the volume = 4.8 * 4.1 * 15
= 295.2 cm^3.
The volume of rectangular prism is 295.2[tex]cm^{3}[/tex]
What is rectangular prism?A rectangular prism is a polyhedron with two congruent and parallel bases. It is also called a cuboid. A rectangular prism has six faces, and all the faces are in a rectangle shape and have twelve edges. Because of its cross-section along the length, it is said to be a prism.
What is the volume of rectangular prism?To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
According to question
Length of rectangular prism = 4.8cm
Breath of rectangular prism = 4.1cm
Height of rectangular prism = 15cm
Volume of rectangular prism = Length * Breath * height
= 4.8*4.1*15
= 295.2[tex]cm^{3}[/tex]
Hence, Volume of rectangular prism is 295.2[tex]cm^{3}[/tex]
To know more about rectangular prism here :
https://brainly.com/question/21308855
# SPJ2
Question 1 (1 point)
What is the area of the SHADED sector of the circle?
162° H
O a
Ob
Oc
400 x units2
20 x units2
180 x units2
40.x units2
od
Question:
What is the area of the SHADED sector of the circle?
Image of the circle is attached.
A) 400π units²
B) 20π units²
C) 180π units²
D) 40π units²
Answer:
C) 180π units²
Step-by-step explanation:
From thr circle, we can see that the given radius is 20 and the shaded part is 162°
The formula to calculate the area of the shaded sector of a circle is =
Area of the circle * fraction of the shaded part of the circle.
We know area of a circle = πr²
Therefore, area of the shaded sector =
[tex] = \pi r^2 * \frac{162}{360}[/tex]
[tex] = 20^2 * \pi * 0.45 [/tex]
[tex] = 400 * 0.45 * \pi [/tex]
[tex] = 180 \pi [/tex]
Area of the shaded sector of the circle is 180π units²
Paint costs $12 per litre and can only be purchased in a full number of litres. One litre of paint covers an area of 10m2. A rectangular wall is 6.5 long and 3m high and needs two coats of paint. What will be the cost of paint for the wall?
Answer:
$48
Step-by-step explanation:
The rectangular wall is 6.5 m long and 3 m high and needs two coats of paint. This means the wall will be painted twice.
First, we find the area of the wall. The area of a rectangle is given as:
A = L * B
where L = length and B = breadth
Therefore, the area of the wall is:
[tex]A = 6.5 * 3 = 19.5 m^2[/tex]
One litre of paint covers an area of [tex]10m^2[/tex].
The paint can only be purchased in a full number of litres.
Therefore, let us find how many litres it will take to paint the wall once:
[tex]10m^2[/tex] = 1 litre
[tex]19.5 m^2[/tex] = 19.5 / 10 = 1.95 litres
Since the paint can only be bought in full number of litres, we approximate 1.95 litres to whole number, that is 2 litres.
2 litres is needed to paint the wall once.
Therefore, we need double of that to paint the wall twice, that is:
2 * 2 = 4 litres
Paint costs $12 per litre, therefore, the price for 4 litres is:
4 * 12 = $48
The cost of paint for the wall is $48.
Can someone help me with this
Answer:
30.5 and 46
Step-by-step explanation:
The minimum is 30.5 and the maximum is 46
You buy a classic comic book for $45. You want to resell it and make a $15 profit. What percent do you need to markup the comic book?
33% profit
ratio: 15:45
That can be simplified into 1:3
The price is increased by $15, which is 1/3 of the original $45.
1/3 as a percentage is about 33%.
Shreya built a wooden sculpture with the dimensions shown. Now she wants to paint it. How much paint does she need?
Answer:55.7 would be the answer.
Step-by-step explanation:
Answer:
the answer is 55.7
Step-by-step explanation:
because i got it right on edge 2021
match the type of graph with its description
Answer:u tell me doc
Step-by-step explanation:
what is -4 {2 - y} + 3y = 3 {y - 4}
0.7 bar repeater in simplest form
Answer:
the answer is 7/10
Step-by-step explanation:
cause i am in honors math 6th grade. I am EXTREMELY smart!!!
what is the independent value
When the polynomial x^4-3x^3-7x^2+7x+2 is divided by x+2 the quotient is x^3 +Bx^2 +Cx +1. Find the value of B +C
Answer:
B=-5
C=3
Step-by-step explanation:
x^4-3x^3-7x^2+7x+2= x^4-3x^3-10x^2+3x^2+7x+2
=x^4-3x^3-10x^2+ 3x^2+7x+2
=x^2(x^2-3x-10)+ 3x^2+7x+2
=x^2(x^2+2x-5x-10)+ 3x^2+6x+x+2
=x^2(x(x+2)-5(x+2))+ 3x(x+2)+1(x+2)
=(x+2)(x^2(x-5)+(3x+1))
=(x+2)(x^3-5x^2+3x+1)
Answer:
B=-5
C=3
Step-by-step explanation:
