Answer:
The width of Dana's living room is 16 feet.
Explanation:
Because Dana's living room is rectangular and we are given the length of one side and the length of the diagonal we can use the Pythagorean Theorem to solve this problem.
For a right triangle which the length, width and diagonal make up the Pythagorean Theorem states:
a
2
+
b
2
=
c
2
Let the length of 12 be
a
and because the diagonal is the hypotenuse of the triangle (the side opposite the right angle) we let
c
be 20. Substituting and solving gives:
12
2
+
b
2
=
20
2
144
+
b
2
=
400
144
−
144
+
b
2
=
400
−
144
0
+
b
2
=
256
b
2
=
256
√
b
2
=
√
256
b
=
16
What number is this? 5⋅10.2+3
Answer:
5×10.2+3
=51+3
=54
hope it helps!!
HELPPPPPP PLEASE !! I appreciate it
Construct a linear function that has a slope of -3 and passes through the point (−2,3)
Answer:
f(x) = -3x - 3
Step-by-step explanation:
you can use the point-slope form to help you.
[tex]y - y_{1} = m (x - x_{1} )[/tex] m = slope and [tex](x_{1} , y_{1}) = (-2, 3)[/tex]
So, y - 3 = -3(x + 2)
y - 3 = -3x - 6
y = -3x - 3 or f(x) = -3x - 3
[tex]f(x) = -3x - 3[/tex]You can use the standard form y = mx + c to build that linear relationship.
Thus, the needed linear function is: [tex]f(x) = -3x -3[/tex]
Given that:The line has slope of -3The line passes through (-2,3)To find:The linear function
Relation between linear function and straight line:A linear function of two variables is always an equation of a straight line and can be converted into standard form y = mx + c (assuming m and c to be finite constants and x and y are variables).
m denotes slope of this line and c denotes intercept on y axis by this line.
If linear function is not of two variables, then we can take the output f(x) as value of second variable.
Since the slope is already given, thus, we have the equation as:
y = -3x + c
Now, since the line passes through (-2,3), thus it must satisfy the equation since the point is member of the family of points who constitute this line(and since the equation shows family of such points, thus the point should satisfy the equation).
Thus,
[tex]y = -3x +c|{(x,y) = (-2,3)}\\ 3 = -3 \times -2 + c\\ 3 = 6 + c\\ c = 3 - 6\\ c = -3[/tex]
Thus, we have the equation of the straight line in consideration as:
y = -3x -3
y is function of x, thus can be rewritten as [tex]f(x) = -3x -3[/tex] (assuming f doesn't represent any other function as we can't use used symbols in a context to prevent ambiguity)
Thus, the needed linear function is: [tex]f(x) = -3x -3[/tex]
Learn more about equation of straight line here:
https://brainly.com/question/19380936
HELP PLSSS DUE IN 30 MINS
2. In the figure below, NP is the perpendicular bisector of LM. Which of the following statements cannot be
concluded based on this given?
Choose the correct symbol to fill in the blank: 55.56 ___ 55.65 *
is it
>
<
=
Answer: 55.56 < 55.65
Step-by-step explanation:
The tenth place is bigger than the other number, and since the whole number is the same, then it would be the less than sign
Answer:
<
Step-by-step explanation:
the number on the right is more than the number on the left so the open part will be on the right
thanks for points have a blessed day :)
8/t; t=4 rkrrkrkkrkrkrkrkr
Answer:
yes 12
Step-by-step explanation:
beeeppppppp
Granny Jane's famous cookie recipe calls for 6 cups of chocolate chips and makes 30 cookies. How many cups of chocolate chips will be needed if the recipe is quadrupled?
Answer:
c
Step-by-step explanation:
it is right
HELP PLS ASAP PLSSSSSs
Answer:
6 companies.
Step-by-step explanation:
[When you read a stem and leaf plot, the lowest number in the stem category, like 3 for example, would be in the tens place. The numbers in the leaf category are the ones places.]
"At least" tells you that anything equal to or higher the number given is relevant to the question. If we count the amount of numbers that are 63 or over, we have:
63, 69, 70, 73, 76, 78.
These are 6 numbers.
Your answer would be 6 companies.
Need help on this question for math
Answer:
y=-7
Step-by-step explanation:
hope that will help you
Match, each of the given measures to the correct side or angle 11, 7.5, 13
Help pls thank you!!!!!!
Answer:
relative minimum would be your awnser
Answer:
Second one :)
Step-by-step explanation:
What he/she said
what is the surface area of this cylinder ( rounded to nearest tenth)
Answer:
Step-62.8m^2
Step-by-step explanation:
Surface area of a cylinder =
r = 2m, h = 3m
= 62.83185
5.) Forty percent of the students at Pinecrest Middle School have a school
sweatshirt. There are 560 students at the school. How many students have
a school sweatshirt? *
PLSS HELP
224 students have a sweatshirt.
for which value of k is the set of orders pairs (2,4),(k,6),(4,0) a function?
Answer:
ANSWER:
{(2,4),( 3, 6),(4, 8)} is a function
Given a relation in x and y, we say y is a function of x if for each element x in the domain, there is exactly one value of y in the range. It is a rule of correspondence between two nonempty sets, such that, to each element of the first is called domain, there correspondents one and only one element of the second is called range.
To determine whether it is function or not by using the vertical line test. If the graph passed to Vertical line test it is consider as function. The graph of function defines y as a function of x if no vertical line intersects the graph in more than one point.
The first set of ordered pairs is a function, because no two ordered pairs have the same first coordinates with different second coordinates for example ( -1, 2), ( 1, 0), (2, 1) . The second example is not a function, because it contains the ordered pairs (1,2) and (1,4). the first set is repeated . These have the same first coordinate and different second coordinates.
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. The range is the resulting y-values we get after substituting all the possible x-values.
A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were defective. A store clerk generates random numbers to simulate a random sample of this shipment. The clerk lets the numbers 1 through 300 represent defective MP3 players, and the numbers 301 through 5,000 represent working MP3 players. The results are given.
948 628 87 4,987 938 468 3,589 298 2,459 2,286
Based on this sample, how many of the MP3 players might the clerk predict would be defective?
The manager would expect
defective players in the shipment.
Answer:
A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were defective. A store clerk generates random numbers to simulate a random sample of this shipment. The clerk lets the numbers 1 through 300 represent defective MP3 players, and the numbers 301 through 5,000 represent working MP3 players. The results are given.
948 628 87 4,987 938 468 3,589 298 2,459 2,286
Based on this sample, how many of the MP3 players might the clerk predict would be defective?
The manager would expect
defective players in the shipment.
What is the simplest form of of this expression?
Answer:
B
Step-by-step explanation:
HELP ME PLEASE ITS MATH
Answer:
the answer is C because all you need to do is just count how many there are
Step-by-step explanation:
Answer:
D. 5 units
Step-by-step explanation:
Using the pythagorean theorem:
[tex]a^2 + b^2 = c^2\\a = 3\\b=4\\3^2 + 4^2 = c^2\\9 + 16 = c^2\\25 = c^2\\c= 5[/tex]
Here's a picture of what this looks like and a deeper explanation:
5 of 5
How many match sticks will there be in the 5th picture?
1st
2nd
3rd
Answer:
[tex]here \: is \: no \: picture \\ \\ we \: cannot \: see \: picture[/tex]
please help me beg u .
Answer:
it is -1/2
Step-by-step explanation:
2x + y <-6
Graph the inequality above
Answer:
y<-6-2x
Step-by-step explanation:
Plllsss help really easy points points points
Answer:21
Step-by-step explanation: you multiply f times x to equal 21
Which of these functions is not a linear function? Why?
f(x)=x-x
f(x)=3x
f(x)=x3
f(x)=23x-2
how am i supposed to know-
Answer:
f(x)=x3
Step-by-step explanation:
If you meant f(x)=x3 by f(x)=x^3 then that would be a cubic equation and not linear?
т
-2 >
- 7
6
what’s the solution??
Answer:
t/7=6 We simplify the equation to the form, which is simple to understand t/7=6 Simplifying: + 0.142857142857t=6
Step-by-step explanation:
hope this helps !!
HELP HELP HELP HELP HELP HELP
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
Answer:subtract 72 from the sides
Step-by-step explanation: just because I did it in a quiz got it right
at a local gym you can either pay $90 for a monthly pass then pay $4 each time you go to the gym or you can pay $13 each time you go with no monthly pass fee for how many visits to the gym in a month is the cost of the two options the same?
Answer:
10
Step-by-step explanation:
A professional gambler reported that at the end of the first race at the track he had doubled his money. He bet $33 on the second race and tripled the money he came with. He bet $60 on the third race and quadrupled his original bankroll. He bet $68 on the fourth race and lost it, but still had $64 left. With how much money did he start?
Answer:
$33
Step-by-step explanation:
A professional gambler reported that at the end of the first race at the track he had doubled his money. He bet $33 on the second race and tripled the money he came with. He bet $60 on the third race and quadrupled his original bankroll. He bet $68 on the fourth race and lost it, but still had $64 left. With how much money did he start?
Let us represent, the amount of money he had at the start= x
Money after the first race=2x
Money he had after betting=2x-33
Money after the second race=3x
Money he had after betting on the third race=3x-60
Money after the race=4x
Money he had after betting on the fourth race=4x-68
Money after the race=$64
4x-68=64
4x=68+ 64
4x = 132
x=132/4
x = 33
Therefore, he had $33 at the start
Sarah is planning for a children's party. She wants to provide each child with a party bag containing 3 items, a whistle, a ball and a tube of sweets. Whistles are sold in packs of 5, balls in packs of 3 and sweets in packs of 6, she doesn't want any single items left over, even if it means she has too many party bags. What are the minimum party bags she can make and how many packs of each item does she need to buy?
A supplementary angle has three angles one being 44.4 another being 7x and another is 8x. I'm having a hard time.
Answer:
x= 9.04°
7x = 63.28°
8x = 72.32
44.4° + 63.28° + 72.32° = 180°
Step-by-step explanation:
The sum of supplementary angles is 180°
Set up an equation with the given information, then solve for x.
44.4 + 7x + 8x = 180
7x +8x = 180-44.4
15x = 135.6 Divide both sides by 15
x = 9.04
Substitute for x and multiply by 7, then 8 to find the measures of the unknown angles.
Math can anyone help me
Answer:
C. [tex]\frac{4}{10}[/tex] and [tex]\frac{10}{25}[/tex]
Step-by-step explanation:
The proportion between these fractions is true. Multiply 4/10 (numerator and denominator) by 2.5 to get 10/25. This is the only correct option.
Hope it helps!