Answer:
The perimeter of other rectangles are 50, 28, 22 units
The area of all possible rectangles are same and equals to 24 unit²
Step-by-step explanation:
Given - Orbet used 24 square tiles to make a rectangle. The perimeter of the rectangle is 20 units.
To find - What would be the perimeters of the other rectangles Orbet could make using only these 24 tiles? How do the areas of the rectangles compare?
Proof -
We know that
Are of Rectangle = Length × Breadth
And Perimeter of Rectangle = 2 (Length + Breadth )
Now,
Given that,
Orbet used 24 square tiles
And perimeter of the rectangle made = 20
So,
Possible Length of rectangle = 6
Possible breadth of Rectangle = 4
Or Vice-versa.
Total number of Rectangles possible = 4
Possibilities are - 1 × 24, 2 × 12, 3 × 8, 4 × 6
Case I :
Length of rectangle = 1
Breadth of rectangle = 24
∴ Perimeter of rectangle = 2(1 + 24) = 2(25) = 50 units
Area of rectangle = 1 × 24 = 24 unit²
Case II :
Length of rectangle = 2
Breadth of rectangle = 12
∴ Perimeter of rectangle = 2(2 + 12) = 2(14) = 28 units
Area of rectangle = 2 × 12 = 24 unit²
Case III :
Length of rectangle = 3
Breadth of rectangle = 8
∴ Perimeter of rectangle = 2(3 + 8) = 2(11) = 22 units
Area of rectangle = 3 × 8 = 24 unit²
Case IV :
Length of rectangle = 4
Breadth of rectangle = 6
∴ Perimeter of rectangle = 2(4 + 6) = 2(10) = 20 units
Area of rectangle = 4 × 6 = 24 unit²
∴ we get
The perimeter of other rectangles are 50, 28, 22 units
The area of all possible rectangles are same and equals to 24 unit²
How many males represented in the Venn diagram below have brown hair or brown eyes?
A diagram contains a rectangle labeled 100 males. The rectangle contains two overlapping ovals. The left oval is labeled brown hair 34, and the right oval is labeled brown eyes 22. The overlapping region is labeled 18. Both ovals are shaded.
74
22
56
34
Answer:
I got this answer right its 56
Step-by-step explanation:
I got this question right
Interpreting the Venn diagram given, the number of males with brown eyes or brown hair can be deduced to be 74
Number with brown hairs = 34 Number with brown eyes = 22Number with both brown hairs and eyes = 18Number with brown eyes or brown hairs :
Brown eyes + Brown hairs + Both brown hairs and brown eyes
(34 + 22 + 18) = 74
Therefore, 74 males have brown eyes or brown hairs
Learn more : https://brainly.com/question/17225268
1. Consider the circle to the right,
Part A: Determine mzSBE.
Part B: Determine mob.
S
52
B
Answer:
m∠SBE = 26°, [tex]m\hat O B[/tex] = 126°
Step-by-step explanation:
The arc of a circle is a portion of the circumference of the circle. For a circle, the degree measure of an arc is equal to the measure of the central angle that intercepts the arc.
Central angle is an angle whose vertex is on the center of the circle and endpoints on the circumference of the circle. If the endpoints of the central angle are are also the endpoints for the angle's intercepted arc, then both angles are congruent.
Also, the angle at the center is twice the angle at the circumference.
Angle at center = [tex]m\hat S E[/tex] = 52° (central angle is congruent with angle that intercept the arc)
2 * m∠SBE = central angle (angle at the center is twice the angle at the circumference)
2 * m∠SBE = 52
m∠SBE = 26°
2 * m∠BEO = central angle (angle at the center is twice the angle at the circumference)
2 * 63 = central angle
central angle = 126°
Angle at center = [tex]m\hat O B[/tex] = 126° (central angle is congruent with angle that intercept the arc)
Need help answer it in the bottom
Answer:
it depend
Step-by-step explanation:
i can edit this answer but-
do they mean that both objects together costs that much or does that mean that pens and pencils cost the same?
5/2 divided by -1/3 PLEASE ANSWER!!
Answer:
−7 1/2
Step-by-step explanation:
1
-7 2
Answer: -0.83333333333
Step-by-step explanation:
The temperature at 5:30 A.M. was recorded as 7 degrees below zero on the Fahrenheit scale. Write the temperature using a signed number
Answer:
mhhm yea this is very questioned questioned
Step-by-step explanation:
yea mhm
Plz help
what are the slope and y-intercept of the linear function that is represented by the graph
A- the slope is -4/3 and the y-intercept is 3
B- the slope is -4/3 and the y-intercept is 4
C- the slope is -3/4 and the y-intercept is 3
D- the slope is -3/4and the y-intercept is 4
plz help this is a timed test
Answer:
The slope is -3/4 because it rises goes down 3 and runs 4. the Y-intercept or where the line meets the y line is 3
Step-by-step explanation:
Johnson Middle School has 400
students. Pam surveys a random
sample of 40 students and finds that
15 of them have a computer. How
many tolal students at the school are
likely to have computers?
A 60
B 150
C 160
B 150
Answer:
the answer is B. 150
20 POINTS HELP ASAP
determine wether the equation is an identity or not an identity. sin theta/ cos theta
Answer:
A
Step-by-step explanation:
Help me pls
(if here for points go away I will report)
If Amber decides to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, the new function representing her photo shares is f(x) = 3(4)x + 45. How does this graph compare with the original graph of Amber's photo share?
Answer:
We know that Amber decided to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, and after this, the function representing the photo shares is:
f(x) = 3*(4)^x + 45
We do not know the initial function, but with the given information we can assume that the original equation is:
g(x) = 3*(4)^x
Then the new function is:
f(x) = g(x) + 45.
This is a vertical translation, remember that for a function h(x), a vertical translation of N units is written as:
k(x) = h(x) + N
if N is positive, we have a translation of N units up
if N is negative, we have a translation of N units down.
in this case we have;
f(x) = g(x) + 45
This means that f(x) is a vertical translation of 45 units of g(x), then:
the graph of the new function is 45 units above the original function.
Jake has a bag of 50 beads, some of which are blue and the remaining are green. Jake randomly pulls out a bead from the bag, records the color, and replaces it in the bag. Jake has already recorded 16 blue and 4 green beads. Based on these results, what is most likely the number of blue beads in the bag?
a.10
b.20
c.30
d.40
Answer:
d
Step-by-step explanation:
Help me with this please
Answer:
Step-by-step explanation:
I had to look this one up :) it seems too simple
10*6 = 5*x
60 = 5 x
60 /5 = x
12 = x
X = 12
:)
What value for x makes the following sentence true?
x+ 4 = 3(x - 2)
'A 5
B 40
C 20
D3
Answer:
Value of x = 5
Step-by-step explanation:
Given:
x + 4 = 3(x - 2)
Find:
Value of x
Computation:
x + 4 = 3(x - 2)
⇒ x + 4 = 3x - 6
⇒ x = 3x -6 - 4
⇒ x - 3x = -10
⇒-2x = - 10
⇒ x = -10 / - 2
Value of x = 5
What is the area of this figure?
(Use = 3.14 and round to two decimal places.)
0.1 cm
Answer:
the area of above figure is 0.31 cm^2
Answer:
A ≈ 0.03 cm²
Step-by-step explanation:
Area of a circle = πr²,
where π (pi) ≈ 3.14 or 22/7 as a close fraction is the ratio (factor) between the circumference and the diameter (2 times / twice the radius),
and r² is the radius squared or multiplied by itself once.
Given that the radius is 0.1 cm in this situation,
the area of this circle is as follows:
A = πr² → A = π (0.1)² cm² → π(0.01) cm² → 0.01π cm² →
(1/100)(π) cm² → π / 100 cm² → 3.14 / 100 cm² →
0.0314 cm² ≈ 0.03 cm²
You know the length of the garden is 12 feet. You also know that the area of the garden is 60 ft2. Write and solve an equation to determine what is the width of the garden?
Answer:
Width is 5
Step-by-step explanation:
Set up an equation
12x=60
divided both sides by 12
answer is 5
The width is 5
to check your answer multiply it by the length
12*5=60
Check Check
Answer:
60÷12=5 so the width is 5 if the length is 12.
When factoring a trinomial, what is the first step you should do before you
begin the Product-Sum Method?
Answer:
B
Step-by-s??????????tep explanation:
the equation of a circle is x2 + y2 - 12x + 6y + 20 = 0.
what is the radius of the circle? enter your answer in the box. r = ___ units
Answer:
Center (6, -3)
Radius 5
which set of sides will NOT make a triangle?
19cm 14cm 7cm
11cm 13cm 3cm
12cm 7cm 5cm
2cm 3cm 4cm
Answer:
12cm 7cm 5cm
Step-by-step explanation:
Since 7 + 5 is = 12, it cannot be a side of a triangle. If you add any 2 numbers, the sum must be greater than the 3rd one.
Follow the steps to find the common denominators for 2/3 and 1/5
Answer:
15
Step-by-step explanation:
To find the common denominators for 2/3 and 1/5, just look at the denominators for both of the fractions, 3 and 5
Multiply 3 and 5, which is 15. 15 is the common denominator.
PLEASE HELP ME THANK YOU IF U DO
Answer: Acceleration
Step-by-step explanation:
How do I solve this?
-1/3+y=1
Answer:
y=-3
Step-by-step explanation:
.....................
Answer to equation:
y = 1 1/3
Step-by-step explanation:
for this problem we see that we are starting below 0 and going up to one, all we have to do is solve for the distance between the two numbers, as shown
(-1/3) + 1/3 = 0
0 + 1 = 1
now to simplify, we just add the total amount of change between the two numbers
1/3 + 1 = 1 1/3
NOTE: this can be done by just adding the absolute value of each number if one is a negative number and one is a positive number, wich is basically what i did
-1/3 = |1/3|
1 = |1|
|1/3| + |1| = |1 1/3| or total amount of change
but if you are working with two positive or two negative numbers, then subtract the lesser of the two absolute values as so
-2 + x = -5
-2 = |2|
-5 = |5|
|5| - |2| = |3|
3 = amount of change
3 = x
-2 + -3 = -5
HELPPPPPPPP TQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQ
Answer:
Area = 120
Step-by-step explanation:
Triangle formula:
[tex]\frac{1}{2}[/tex](b x h)
Given:
[tex]\frac{1}{2}[/tex](10 x 24)
Multiply 10 and 24 to get 240.
10 x 24 = 240
Divide 240 and 2 to get 120.
240 ÷ 2 = 120
So answer is 120.
need help with simple question
Answer:
I think it is 10
Step-by-step explanation:
I said I think it might be 9
You earn $44.55 in 9 hours. Your friend earns $51.00 in 12 hours. How much do you AND your friend earn in 20 hours? HINT- You need to calculate how much you both make in 1 hour first! 1 point
Answer:
I earn $99. my friend earns $85. We both earn $184
Step-by-step explanation:
Steps
Find the amount earned per hour for each friend multiply the value gotten by 20 hours Add the amountAmount i earn per hour = 44.55 / 9 = $4.95
Amount my friend earns = 51 /12 = $4.25
Amount earned in 20 hours
4.95 x 20 = 99
4.25 x 20 = 85
Please help due today
Find the slope of the line that passes through each pair of points (0,1),(2,5)
Answer:
2
Step-by-step explanation:
y2-y1 = 5-1 =4
x2-x1= 2-0 =2
4/2=2
Step-by-step explanation:
[tex]m = \frac{y2 - y1}{x2 - x1} \\ = \frac{5 - 1}{2 - 0} \\ = \frac{4}{2} \\ = 2[/tex]
#CMIIW(xy^-6)^2
A. xy^-36
B. xy^36
C. x^2y^-12
Answer:
Step-by-step explanation: (9=4-38-838,256=2-60^7
solve for x
4x=30
give your answer as an improper fraction in its simplest form
Answer:
x=15/2Step-by-step explanation:
given:-4x=304x/4=30/4x=7.5 when we convert to improper fraction=75/10=15/2Please its really urgent, step by step working out
Answer:
70.99
Step-by-step explanation:
Use Pythagorean Theorem to find the shortest distance.
80^2-50^2=3900
Square rt= 62.44
Subtract by 15
47.44
Next find half of the circular path it is (3.14 x 15)/2
23.55
Add 47.44+23.55=70.99
Hope this is correct
use the formula v=u+at
calculate v when:
u=10, a=3, t=2.5
Answer:
17.5Step-by-step explanation:
[tex]v = 10 + 3 \times 2.5 \\ v = 10 + 7.5 \\ v = 17.5[/tex]
This is your answer :))
Answer:
V = 17.5
Step-by-step explanation:
[tex]v = u + at \\ v = 10 + 3(2.5) \\ v = 10 + 7.5 \\ v = 17.5[/tex]
I hope that is useful for you :)
Find the measure of
A 43•
B. 223•
C180•
Answer:
43
Step-by-step explanation:
subtract 157 from 180 and you get your answer if 43.
Last week, Russell bought 8 pizzas and 10 cakes for a total of $160.
Today, Russell bought 26 pizzas and 8 cakes for a total of $226.
Assuming neither item has changed in price, what is the cost of a pizza in dollars?
Answer:
$5
Step-by-step explanation:
Create a system of equations where p is the cost of a pizza and c is the cost of a cake
8p + 10c = 160
26p + 8c = 226
Solve by elimination by multiplying the top equation by -4, and the bottom equation by 5
-32p - 40c = -640
130p + 40c = 1130
Add these together:
98p = 490
p = 5
So, the cost of a pizza is $5