Answer:
7 in by 8 in
Step-by-step explanation:
The dimensions of the living room is 14 ft by 16 ft
In the scale drawing 2 in = 4 ft
[tex]1\ \text{in}=2\ \text{ft}[/tex]
So, 1 in of the scale drawing represents 2 ft in the real world.
[tex]1\ \text{ft of the actual dimension}=\dfrac{1}{2}\ \text{in in the scale drawing}[/tex]
[tex]14\ \text{ft}=\dfrac{14}{2}=7\ \text{in of the scale drawing}[/tex]
[tex]16\ \text{ft}=\dfrac{16}{2}=8\ \text{in of the scale drawing}[/tex]
Hence, the dimensions of the scale drawing are 7 in by 8 in.
The 15th term of an arithmetic sequence is 21 and the common difference is -4.
(a) Find the first term of the sequence.
(b) Find the 29th term of the sequence.
(c) Find the sum of the first 40 terms of the sequence.
Answer:
a. Firat term of the sequence= 77
b. 29th term of the sequence= -35
c. Sum of the first 40 terms of the sequence= -40
Step-by-step explanation:
The first term of the sequence is 77, the 29th term of the sequence is -35 and the sum of the first 40 terms of the sequence is -40.
Given that, [tex]a_{15} =21[/tex] and d=-4.
What is the nth term of the arithmetic sequence?The nth term of the arithmetic sequence is [tex]a_{n} =a+(n-1)d[/tex].
To find the first term of the sequence:
[tex]a_{15}[/tex]=a+(15-1)(-4)
⇒21=a+(15-1)(-4)
⇒a=77
To find the 29th term of the sequence:
[tex]a_{29}[/tex]=77+(29-1)(-4)=-35
To find the sum of the first 40 terms of the sequence:
The first n terms of a sequence [tex]=\frac{n}{2}[2a+(n-1)d)][/tex]
[tex]S_{40} =\frac{40}{2}[2 \times77+(40-1)(-4))][/tex]
=20(154-156)=-40
Therefore, the first term of the sequence is 77, the 29th term of the sequence is -35 and the sum of the first 40 terms of the sequence is -40.
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Write a number using the following clues:
a multiple of 4
greater than 30 but less than 100
Answer:
Theres a lot of numbers you can choose from 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96,
Step-by-step explanation:
expand -9(9-p)
...................................
Answer:
35
Step-by-step explanation:
Answer:
-81+9p
Step-by-step explanation:
-9(9-p)
-9×9-9×-p
-81-9×-p
-81-(-9p)
-81+9p
9p-81
Can some please help me with this question
9514 1404 393
Answer:
423 in²
Step-by-step explanation:
The area is given by the formula ...
A = 1/2·xy·sin(W)
A = 1/2(32 in)(96 in)sin(16°) ≈ 423.379 in²
The area of ∆WXY is about 423 square inches.
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2, 2)A(−2,2)A, left parenthesis, minus, 2, comma, 2, right parenthesis, B(6, 2)B(6,2)B, left parenthesis, 6, comma, 2, right parenthesis, C(6, 3)C(6,3)C, left parenthesis, 6, comma, 3, right parenthesis, and D(-2, 3)D(−2,3)D, left parenthesis, minus, 2, comma, 3, right parenthesis.
What is the area of rectangle ABCDABCDA, B, C, D? Please Help
Answer:
Step-by-step explanation:
The rectangle ABCD has vertices A(-2,2), B(6,2), C(6,3) and D(-2,3).
Now, length of side AB = [6 - (- 2)] = 8 units.
{Since the line AB is parallel to the x-axis, so the length of the segment AB will be the difference between the x-coordinates of the points A and B}
Again, line BC is parallel to y-axis and hence the length BC = (3 - 2) = 1 units.
Therefore, the area of the rectangle ABCD will be (8 × 1) = 8 sq. units. (Answer)
Answer:
8 Square Units
Step-by-step explanation:
7. There are 3 ways to get from Town A to Town B, 4 ways to get from Town B to Town C, and another 5 ways to get from Town C to Town D. In how many different ways could we get from Town A
to Town D?
A.60
B.1320
C.12
D.220
Answer:
Its A
Step-by-step explanation:
I took the quiz.
The total number of different ways he can get from Town A to Town D is
60 ways , Option A is the correct answer.
What is Combination ?The way of selecting objects from a group of objects such that the order does not matter.
It is given that
There are 3 ways to get from Town A to Town B
The total number of ways he can select one route is ³C₁ = 3
There are 4 ways to get from Town B to Town C
The total number of ways he can select one route is ⁴C₁ = 4
There are 5 ways to get from Town C to Town D
The total number of ways he can select one route is ⁵C₁ = 5
The total number of different ways he can get from Town A to Town D is
3 * 4 * 5
= 60 ways
Therefore Option A is the correct answer.
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30 pts pls awnser all questions i give BRAINLIEST help meee
10; decreases
8: decreases, increases
7: increases, stays the same, increases, stays the same, increases.
9: increases, increases
I hope that this is correct and was able to help
Each state can set its own minimum wage. If the federal and state minimum wages are different, the highest minimum wage is used.
True
False
Answer:
True
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Wages are usually identified as the money you are paid per hour. For instance, the current minimum wage in the United States, meaning the least per hour an employer can pay a worker, is $7.25 an hour. Minimum wage is determined by the Federal Department of Labor. Individual states can set a higher minimum wage for its citizens. In those instances where the federal and state minimum wages are different, the higher minimum wage is used.
The length of a rectangle is 4 cm more than 3 times its width. If the area of the rectangle is 15 cm², find the width.
Answer:88888888
Step-by-step explanation:
Find the perimeter of the figure in miles.
Answer:
30.85 miles
Step-by-step explanation:
circumfrance = Pi X D
c = Pi X 12
C = 37.7...
c/2 = 18.85...
+ 12 miles
= 30.8495559215 miles
= 30.85 miles
An airplane flies 285 miles in 5 hours. What is its average speed in miles per hour?
PLEASE HELP ASAP!!!!!!
Answer:
57
Step-by-step explanation:
Speed = Distance / Time
distance = 285
time = 5 hours
285/5 = 57
help plz 30 points and brainliest! <3
1st answer gets brainliest!!!
The surface area of this regular pyramid is 1040 cm2. The base is a regular pentagon with side b = 16 cm and slant height l =15 cm. Find its apothem (a).
PLEASE show work :))
Right triangle A B C. Side A C is 10 meters, side B C is 20 meters, and hypotenuse A B is blank.
Find the area of the triangle.
a.
620 sq. m
c.
100 sq. m
b.
200 sq. m
d.
180 sq.m
Answer:
C) 100 sq. meters
Step-by-step explanation:
Elsa, Keith, and Lamar sent a total of 68 text messages during the weekend. Keith sent 8 more messages than Elsa. Lamar sent 2 times as many messages as Elsa. How many messages did they each send?
Answer:
Elsa sent 15, Lamar sent 30, and Keith sent 23
Step-by-step explanation:
If x=Elsa, L=Lamar, and K=Keith
2x=L
x+8=K
x+x+8+2x= 68
4x+8=68
4x=60
x=15
Then you plug 15 into x, and solve for each person.
(15)2=L
(15)+8=K
Solve for X
show me what steps to do for this one
Answer:
x = 24
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
120° is an exterior angle of the triangle, then
2x + 3x = 120
5x = 120 ( divide both sides by 5 )
x = 24
Answer:
here ig ..this is all
Step-by-step explanation:
sry if I got wrong
stay safe ...
If two points known on the line AB in the coordinate plane is (7,15) and (18,42), calculate the following..
A) the slope of the line AB
B) The length of the line AB
Answer:
Slope = 27/11AB = 29.15 uStep-by-step explanation:
Given :-
Two points are given to us .The points are A(7,15) and B(18,42)To Find :-
The slope of the line .The length of line AB .We can find the slope of the line passing through the points [tex]( x_1,y_1)[/tex] and [tex]( x_2,y_2)[/tex]as ,
[tex]\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}[/tex]
Plug in the respective values ,[tex]\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}[/tex]
Hence the slope of the line is 27/11 .
[tex]\rule{200}2[/tex]
Finding the length of AB :-
We can find the distance between them by using the Distance Formula .[tex]\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 } \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }[/tex]
Hence the length of AB is 29.15 units .
Please SHOW WORK, will mark brainlist if correct
Answer:
[tex]\huge\boxed{\sf \frac{x+3}{x-3}}[/tex]
Step-by-step explanation:
[tex]\displaystyle = \frac{x+7}{x^2+4x-21} \div \frac{x+5}{x^2+8x+15} \\\\Apply \ mid-term \ break\\\\= \frac{x+7}{x^2 +7x-3x-21} \div \frac{x+5}{x^2 +3x+5x+15} \\\\= \frac{x+7}{x(x+7)-3(x+7)} \div \frac{x+5}{x(x+3)+5(x+3)} \\\\Taking \ (x+3) \ and \ (x+7) \ common\\\\= \frac{x+7}{(x-3)(x+7)} \div \frac{x+5}{(x+3)(x+5)} \\\\= \frac{1}{x-3} \div \frac{1}{x+3} \\\\= \frac{1}{x-3} * (x+3)\\\\= \frac{x+3}{x-3} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807please help i’ll give brainliest
Answer:
Step-by-step explanation:
The answers are 1, 3, and 4 hundred percent sure it is correct
The five-number summary suggests that about 50\%50%50, percent of sales managers at Force Inc. manage fewer than what number of accounts?
Answer:
The median is is the midpoint of the data. This means half is below 50 and half is above 50. The answer would be they handle less than 50 accounts.
Answer:
So 1 is in the middle. 59 has 2 different numbers on both sides.
So your answer is 50
Step-by-step explanation:
35, 45, 50, 65, 85Minimum number is = 35Max number is = 85Medium = 50Q1 = 40Q3 = 75 59 has 2 different numbers on both sides.So the answer is 50.
Keisha's teacher gives her the following information:
• m, n, p, and q are all integers and p = 0 and q +0
• A= and B=;
What conclusion can Keisha make?
Answer: b
Step-by-step explanation: b
Natalie can bike 10 kilometers per hour faster than Aaron. By the time
Natalie travels 60 kilometers, Aaron has gone 40 kilometers. Find the speed
of Natalie and Aaron.
Durning the summer , a shoe store sells sneakers and sandals at a ratio of 4:7 . If the store sells 164 pair of sneakers, how many pair of sneakers and sandals does the store sell in all ?
Answer:
x = number of pairs of sandals sold = 287
Total pair of sneakers and sandals sold = 451 pairs
Step-by-step explanation:
Sneakers = 4
Sandals = 7
Sneakers : sandals = 4 : 7
If the store sells 164 pair of sneakers
Let
x = number of pairs of sandals sold
Sneakers : sandals = 164 : x
Equate both ratios to find x
4 : 7 = 164 : x
4/7 = 164/x
4 * x = 7 * 164
4x = 1,148
x = 1,148/4
x = 287
x = number of pairs of sandals sold = 287
how many pair of sneakers and sandals does the store sell in all ?
Total pair of sneakers and sandals sold = Sneakers + sandals
= 164 + 287
= 451 pairs
Total pair of sneakers and sandals sold = 451 pairs
Find the values of the variables.
Ron randomly pulls a pen out of a box that contains 1 red, 2 black, and 3 blue pens. He does
this 4 times, replacing the pen each time, but pulls out a blue pen only 1 time. Ron concludes
that the observed frequency of pulling a blue pen will eventually be closer to the expected
frequency based on the theoretical probability of pulling a blue pen. Which reasoning best
supports his conclusion?
Is it A, B, C, or D
PLEASE HELP ME :)
Answer: A
Step-by-step explanation:
I did this test before : )
The theoretical probability of pulling a blue pen based on the expected frequency will get closer to 1/2 as the no. of trials increases.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The first thing is to define each of the probabilities,
Theoretical probability is defined as a proportion that expresses the ways to be successful in the total events of an experiment.
Experimental probability is defined as the proportion of the proposed result for the number of experimental attempts.
Based on the above explanation, the reason that best supports is that; the more the experiment is repeated, the closer the experimental probability gets to the theoretical one, However, as the number of attempts increases, it tends to go more to what theoretically is what would happen.
The more experiments that are done, the more the theoretical attempts trend is marked
Hence, the Theoretical probability of pulling a blue pen based on the expected frequency will get closer to 1/2 as the no. of trials increases.
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If the expression above is rewritten in the form a+bi, where a and b are real numbers, what is the value of a?
Answer:
......................................,........
Emily is encouraged to read more than 4 hours each week. It takes her 45 minutes to finish her first book. She divides the remainder of the time equally amongst the other six days. What is the minimum number of minutes she should read each day? Write and solve an inequality. put this is an inequality pls!!
Step-by-step explanation:
x > 4 hours/week
4 hours is 240 minutes
45 minutes/ 1st book
4 hours minus 45 minutes is 3 hours and 15 minutes
3 hours and 15 minutes = 195 minutes
195 minutes ÷ 6 = 32.5 minutes
make the formula working backwards
(240 - 45) ÷ 6 > x
The ratio of a pair of corresponding sides in two similar triangles is 5:3. The area of the smaller triangle is 108 in2. What is the area of the larger triangle?
Answer:
The hypotenuse of a right triangle is always the side opposite the right angle. It is the ... The other two sides are called the opposite and adjacent sides. ... functions—sine, cosine, and tangent—which are defined using the words hypotenuse, opposite, and adjacent. ... Side ratios in right triangles as a function of the angles.
Step-by-step explanation:
LIST THE ANGLES OF THE TRIANGLE FROM LEAST TO GREATEST ILL BRAINLIEST YOU IF YOU GET IT RIGHT
PLZZZ HELP ASAP LAST ONE TYSM
Answer:
answer: 31.4
Step-by-step explanation:
the formula to finding circumference is just diameter × pi we arent given the diameter so we have to figure it out but what we do know is the radius is half of the diameter so 5 x 2 = 10 so now that we have the diameter we just multiply by pi so 10 × 3.14 = 31.4 Hope this helps!
Answer:
10 π m
Step-by-step explanation:
Given,
Radius ( circle ) = 5 m
To find : Circumference ( circle ) = ?
Formula : -
Circumference ( circle ) = 2πr
Circumference ( circle )
= 2 x π x 5
= 10 π m