Answer:
The dimension of the room is 8m by 3m
The length and width of the rectangle are 8 meters and 2 meters.
Given,
A rectangular room is 5 meters longer than it is wide.
Perimeter = 22 meters.
We need to find the dimension of the room.
What is the perimeter of a rectangle?A rectangle perimeter is given by :
P = 2 ( length + wide )
Find the length and width of the rectangle.
Let width = W
Let length = L
L = W + 5
Find the perimeter of the rectangle.
P = 2 ( L + W )
P = 22
22 = 2 ( W + 5 + W )
Divide both sides by 2.
11 = W + 5 + W
11 = 2W + 5
Subtract 5 on both sides.
11 - 5 = 2W + 5 - 5
6 = 2W
Divide both sides by 2.
3 = W
W = 3
We see that W = 2 and L = W + 5 = 3 + 5 = 8.
Thus the length and width of the rectangle are 8 meters and 2 meters.
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Choose the correct simplification of a^5b^6/a^4b^4
Answer:
answer is b²a is the correct answer
Step-by-step explanation:
happy to help :)
Suppose you are asked to list in order of preference the best three movies you've seen this year. If you saw eight movies this year, in how many ways can the three best be chosen and ranked?
Answer:
The three best can be chosen and ranked in 336 ways.
Step-by-step explanation:
Since you are asked to list the movies in order of preference, the order is important, as a higher order leads to a higher preference. This means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
If you saw eight movies this year, in how many ways can the three best be chosen and ranked?
[tex]P_{(8,3)} = \frac{8!}{(8-3)!} = 336[/tex]
The three best can be chosen and ranked in 336 ways.
3
60°
х
x = -
y=--
How to solve
Answer5
Step-by-step explanation:
There are 25 students. Four of these students are selected to attend four different conferences. The first student selected will go to
a conference in Makati city, the second will go to Paranaque city, the third to Quezon city and the fourth to Caloocan city. How
many such selections are possible?
256
12,650
303,600
390,625
Answer:
the number of possible selection is 12650
Option b) 12650 is the correct answer.
Step-by-step explanation:
Given the data in the question;
total number of students n = 25
number of student selected r = 4
[tex]^nC_r[/tex] = ²⁵C₄
= 25! / ( 4!( 25 - 4 )! )
= 25! / (4!(21)!)
= 12650
Therefore, the number of possible selection is 12650
Option b) 12650 is the correct answer.
Acellus
Find Y.
Round to the nearest tenth.
20 ft/
\22 ft
Y
Х 18 ft
Y= [? ]°
Law of Cosines: c2 = a2 + b2 - 2ab cos C
Enter
Answer:
58.9
Step-by-step explanation:
y²=x²+z²-2×z cos(y)
20²=22²+18²-2(22)(18) cos (y)
400=484+324-792 cos(y)
-408=-772 cos (y)
408/792=cos y
y=cos⁻¹(408/792)=58.9
hope it helps...
have a great day!!
Example object in kilometers
Answer:
what are you trying to ask?
Step-by-step explanation:
there's no picture or a question really
Marina will attend choir practice for 2-
hours on Saturday, 24 hours on Sunday,
and 3 hours on Monday. Next week,
Marina will attend choir practice for the
same number of hours on Saturday,
Sunday, and Monday.
What is the total number of hours
Marina will have choir practice over
these 6 days?
Answer:
58
Step-by-step explanation:
1).2+24+3 = 29
2) 29 x 2 = 58
Find the volume of each figure. Round to the nearest hundredth if necessary.
Answer:
316.41 m³
Step-by-step explanation:
7.5x7.5x3.75=210.9375
3.75x3.75x7.5=105.46875
210.9375+105.4675=316.405
Write an equation to represent the relationship between red paint, r, and yellow paint, y, in each batch.
The equation to represent the relationship between red paint, r, and yellow paint, y, in each batch can be written as r = 3 / 2y.
What is equation?A formula known as an equation uses the equals sign to denote the equality of two expressions.
Given:
At r = 2, y = 3,
r = 4, y = 6,
r = 6, y = 9
Here, r is red paint and y is yellow paint.
The above condition can be written as
2r = 3y
r = 3 / 2y
Therefore, the equation to represent the relationship between red paint, r, and yellow paint, y, in each batch can be written as r = 3 / 2y.
To know more about equation:
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HELP!!!!!!!!!!!!!!!!!!!!!HELP ME PLEASE I WILL GIVE YOU 50 ponts
Answer:
D
Step-by-step explanation:
-3/8 converted to a decimal is -0.375
The absolute value of -0.5 is 0.5
hence, 0.5 is larger than -0.375
so the answer is d
hope this helps and is right :)
Answer:
Please look at the image.
Step-by-step explanation:
Jed received a $2.000 bonus from his job. He put it into an investment account at 4.65% interest and promises not to touch it for 30 years. How much will be in the account at that time?
WILL GIVE BRANLIEST NEED IN 10 MINS
Answer:
$62,790
Step-by-step explanation:
Laurel buys 3 balls of yarn. Each ball of yarn costs $4.75. She also buys 2 pairs of knitting needles. Each pair costs $5.75. She pays for her purchase with two 20- dollar bills. What is her change?
I need to find the missing angle and arc measures.
please answer
Step by step
9514 1404 393
Answer:
1: 40°; 2: 110°; 3: 70°; 4: 45°; 5: 65°
6: 70°; 7: 70°; 8: 65°; 9: 45°; 10: 17.5°
11: 15°; 12: 37.5°; 13: 70°; 14: 72.5°; 15: 20°
16: 87.5°; 17: 77.5°; 18: 35°; 19: 75°; 20: 20°
21: 50°; 22: 95°
Step-by-step explanation:
The angles are shown in the attached. The following relationships are used to find them.
an inscribed angle is half the measure of the arc it subtendsthe sum of angles in a triangle is 180°the angles where chords cross are half the sum of the intercepted arcsthe total of arcs in a semicircle is 180°an exterior angle of a triangle is equal to the sum of the remote interior anglesacute angles in a right triangle are complementary_____
All of the arcs around the circle are shown except EL and HN. EL is the difference between 180° and the other marked angles in semicircle SLH. It is 90°. HN has a vertical central angle with arc SE, so is the same measure, 40°.
Angle 1 is the central angle for arc HN, so has the same measure: 40°.
Angle 2 is half the sum of arcs SL and HW, so is (130+90)/2 = 110°.
Angle 3 is vertical to the second remote interior angle in triangle BDQ where angle 2 is an exterior angle. That is ∠3 = ∠2 -∠1 = 110° -40° = 70°.
Angle 4 is half arc NL, so is (40° +30° +20°)/2 =45°.
Angle 5 is the remaining interior angle of ∆BNW, so is 180° -70° -45° = 65°.
Angle 6 is half of arc HE, so is (30° +20° +90°)/2 = 70°.
Angle 7 is half of arc SN, so is 140°/2 = 70°.
— note that triangle HNQ is an isosceles triangle with central angle 40°, so the two base angles (∠6 and ∠7) are (180° -40°)/2 = 70°.
Angle 8 is half the measure of arc LS, so is (90° +40°)/2 = 65°.
Angle 9 is half the measure of arc HW, so is (40° +50°)/2 = 45°.
Angle 10 is half the measure of arc ST, so is 35°/2 = 17.5°.
Angle 11 is half the measure of arc OT, so is 30°/2 = 15°.
Angle 12 is half the measure of arc NO, so is (50° +25°)/2 = 37.5°.
Angle 13 is half the measure of arc HE, so is 140°/2 = 70°.
Angle 14 is half the measure of arc HT, so is (180° -35°)/2 = 72.5°.
Angle 15 is half the measure of arc ES, so is 40°/2 = 20°.
Angle 16 is vertical to the remaining interior angle of the triangle containing angles 14 and 15. Its measure is 180° -72.5° -20° = 87.5°.
Angle 17 is half the sum of arcs ES and OH, so is (40° +115°)/2 = 77.5°.
Angle 18 is half the measure of arc RN, so is (30° +40°)/2 = 35°.
Angle 19 is half the sum of arcs LR and EW, so is (20° +130°)/2 = 75°.
Angle 20 is half the measure of arc HN, so is 40°/2 = 20°.
Angle 21 is complementary to angle 1, so is (90° -40°) = 50°.
Angle 22 is the remaining interior angle of triangle ACE, so is (180° -35° -50°) = 95°.
HELP ME OUT PLZZZ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
18.9
Step-by-step explanation:
Plz help me find perimeter and area you do not have to do both but plz help no links!!!!!
Please help me with this math problem.
Answer:
The table is a quadratic function
Step-by-step explanation:
Given
The attached table
Required
Tell if it is a quadratic function
The difference in the x values are uniform (i.e. difference of 1), so the following method can be applied.
(1) Subtract adjacent y values.
[tex]d_1=2 - 16 = -14[/tex]
[tex]d_2=-2 - 2 = -4[/tex]
[tex]d_3 = 4--2 = 6[/tex]
[tex]d_4 = 20 - 4 = 16[/tex]
(2) Subtract adjacent differences in (1) above
[tex]d_5 = d_2 - d_1 = -4 --14 = 10[/tex]
[tex]d_6 = d_3 - d_2 = 6 --4 = 10[/tex]
[tex]d_7 = d_4 - d_3 = 16 -6 = 10[/tex]
Notice the calculated differences in (2) are the same.
Hence, the table is a quadratic function
Which expression is equivalent to 7(3a + 4b) ?
21a + 28b
10a + 11b
10a + 28b
21a + 4b
Answer:
A
Step-by-step explanation:
21a+28b
hope this helps :))
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!! 100 POINTS
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answer:
<1 and <7 , <2 and <8or<4 and <6 , <3 and <5Step-by-step explanation:
There are totally four pairs of alternate angles:Alternate interior angles:-
Pairs - <2 and <8 ; <3 and <5
Alternate exterior angles:-
Pairs - <1 and <7 ; <4 and <6
{You can choose any two pair}Please help I’ll mark you as brainliest if correct!
Answer:
I think you are right
Step-by-step explanation:
7 more than the quotient of a number is 2 and 9
Given:
Consider the given statement is "7 more than the quotient of a number and 9 is 2".
To find:
The value of the unknown number.
Solution:
Let be the unknown number.
Quotient of a number and 9: [tex]\dfrac{x}{9}[/tex]
7 more than than the quotient of a number and 9: [tex]\dfrac{x}{9}+7[/tex]
It is given that, 7 more than the quotient of a number and 9 is 2.
[tex]\dfrac{x}{9}+7=2[/tex]
Multiply both sides by 9.
[tex]x+63=18[/tex]
[tex]x=18-63[/tex]
[tex]x=-45[/tex]
Therefore, the unknown number is -45.
Find the perimeter of each polygon. Assume that lines which appear to be tangent are tangent.
9514 1404 393
Answer:
71.4
Step-by-step explanation:
The perimeter of the polygon is the sum of the lengths of its sides. Opposite sides in this geometry have the same sum, so the perimeter is ...
P = 2(16.4 +19.3) = 2(35.7)
P = 71.4 . . . units
__
The missing length on the lower half of the upper right side is 6.3.
A nationwide poll asked a random sample of US adults the question, "Are you in favor of making Election Day a federal holiday?” Based on the results of this poll, the 95% confidence interval for the population proportion who favor making Election Day a federal holiday is (0.64, 0.70).
Interpret the confidence interval.
A. We are 95% confident that less than half of US adults favor making Election Day a federal holiday.
B. 95% of the time between 64% and 70% of US adults favor making Election Day a federal holiday
C. We are 95% confident that the interval from 0.64 to 0.70 captures the true proportion of US adults who favor making Election Day a federal holiday.
D. 95% of US adults are in favor of making Election Day a federal holiday by a margin of 64 to 70.
Answer:
C. We are 95% confident that the interval from 0.64 to 0.70 captures the true proportion of US adults who favor making Election Day a federal holiday.
Step-by-step explanation:
edge
Coal gas is produced at a gasworks. Pollutants in the gas are removed by scrubbers, which become less and less efficient as time goes on. The following measurements, made at the start of each month, show the rate at which pollutants are escaping (in tons/month) in the gas: Time (months) 0 1 2 3 4 5 6 Rate 5 7 9 14 22 31 40 A. Make an overestimate and an underestimate of the total quantity of pollutants that escape during the first month. overestimate
Answer:
overestimate = 7
underestimate = 5
Step-by-step explanation:
Table
_________________________________
Time (months) 0 1 2 3 4 5 6
Rate 5 7 9 14 22 31 40
___________________________________
A. Make an overestimate and an underestimate of the total quantity of pollutants that escape during the first month.
Overestimate
For this case, we review the data in the table. The value for first month of total quantity of pollutants that escape is 7. Additionally, we can notice that the rate is increasing.
Just a month and that month has a value of 7
= 1* 7 (The largest value) = 7
Underestimate
This would be equivalent to the total until the previous meassure
= 1*5 = 5
the ages of people riding a bus or shown below
23 32 16 10 23 31 14 45 12 31 19 31
what is the mode of the ages
A. 31
B. 23
C. 16
D. 10
Answer:
31
Step-by-step explanation:
it is the most repeated number duh
What is 1/3 divided by 2??
?X2=1/3
Answer:
2/33
Step-by-step explanation:
calculator.net
Answer:
.165, i think
.165×2 =.33
have a good day
Round this number to the nearest thousandth.
4.9675
Answer:
4.968
Step-by-step explanation:
what is y=mx+b solve for x
Answer:
equation of a line
Step-by-step explanation:
Answer:
Formula used during line equations
look at the figure. i’ll give you brainlest!!!
Answer:
u already got it cos x = 8f
Step-by-step explanation:
A group of students at a high school took a standardized test. The number of students who passed or failed the exam is broken down by gender in the following table. Determine whether gender and passing the test are independent by filling out the blanks in the sentence below, rounding all probabilities to the nearest thousandth.
Answer:
Since P(male)xP(fail) = 0.0549 and and P(male and fail) = 0.0773, the two results are different, so the events are not independent.
find the difference between the place value of: 6 in 6,15,265
Answer:
6,15,265=lakh
6,15,265=tens
hope it helps.