Answer:
Step-by-step explanation:
slope=(vertical distance)/(horizontal distance)=(6.25)/25=0.25
Find x in the triangle
Answer:100
Step-by-step explanation:
The question confuses you since there is no extra variable to help you which is you have to create it yourself.
Let's create a variable called 'y' and make it the empty angle inside the triangle and next to x + 30. Since at K it will always equal to 180° because x+30 + y = 180°, we can rearrange to make y alone which would be become:
[tex]y=-x-30+180[/tex] which then becomes [tex]y = -x+150[/tex].
Also since the inside sum of angles in a traingle is equal to 180°, this can be written as
[tex]180 = (x-40) +(x-30)+y[/tex]
if we replace y with the equation we get
[tex]180=(x-40)+(x-30) + (-x+150)[/tex]
which can be simplified to
[tex]180=x+80[/tex] because 2x-x = x and -70+150 = 80
If we rearrange to solve for x, we get:
[tex]x = 180-80[/tex] ⇒ [tex]x=100[/tex]
We can verify this by putting the value of x in both equation:
[tex]y = -100+150 = 50[/tex] angle at k
[tex]100-40=60[/tex] angle at j
[tex]100-30=70[/tex] angle at l
[tex]50+60+70=180[/tex] this match the rules of the sum of interior angle always equal 180°
can anyone give definition of liner expression
need it ASAP
Answer:
The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line
Step-by-step explanation:
u single?
Question 1 (1 point)
What property is shown?
-d + (-e +(-f)) = (-d + (-e)) + (-f)
A:opposite of a sum
B:distributive
C:commutative
D:associative
The 13th arithmetic sequence of whose common difference is d=7 and first term is A1=3
Answer:
Step-by-step explanation:
a1 = 2
d = 7
n = 13
I take it you want the 13th term.
t_13 = a1 + (n - 1) * d
t_13 = 3 + (13 - 1) * 7
t_13 = 3 + 12*7
t_13 = 3 + 84
t_13 = 87
[tex] \sf \: If (3x-1) ^{7} = a _{7} x ^{7} + a _{6} x ^{6} + a _{5} x ^{5}+.... \\ \sf + a₁x + a _{0}, then \: \: a_0 + a₁ + a₂ + a_3 + a_4 + a_5 + a_6 + a7 = [/tex]
a)0
b)1
c)128
d)64
Please solve this for me. Need step-by-step explanation. Spam free answer required. Thank you in anticipation.
Answer:
hope it helps have a great day
Answer is option C
For any number n>1, is
п
2 3
+ i
3
4
a. Greater than 1?
b. Less than 1?
C. Equal to 1?
A because the > symbol means greater so if n is on the open side that means its greater
~Shoto Todoroki here~
its option A
i figured this out by trial and error :/
have a good day!
Please help me I'm literally gonna cry
How many
How many 3/5 -pound bags of apples are in 3 pounds of apples?
___ bags ( btw the answer is not 0.2)
Answer:
5 bags, each containing 3/5 pounds of apples
Step-by-step explanation:
3 ÷ 3/5 = 3 x 5/3 = 5
A cone has a radius of 5. 1 inches and a height of 5 inches. What is the volume of the cone? Use 3. 14 for pi. Round to the nearest tenth. 25. 0 inÂł 75. 0 inÂł 125. 4 inÂł 136. 1 inÂł.
The correct option is D. 136.1 cubic inches.
Given, Radius of cone is 5.1 inches.
Height of cone is 5 inches.
We know that, volume of cone,
[tex]V=\frac{1}{3} \pi r^{2} h[/tex]
Here r is the radius of cone and h is its height.
on putting the value of r and h, we get
[tex]V=\frac{1}{3} \times3.14\times(5.1)^{2} \times5[/tex]
[tex]V=\frac{1}{3} \times3.14\times26.01\times5[/tex]
Or, [tex]V=136.119 \ cubic \ inches[/tex].
The volume of cone to the nearest tenth is 136.1 cubic inches.
Hence the correct option is D. 136.1 cubic inches.
For more details on the volume of cone follow the link:
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Josiah is buying a Christmas present for his mom. He has $24 in his saving account but needs $60 to buy the present he has in mind. Josiah works a job where he earns $9per hour. If h equals number of hours, write an equation that would help determine how many hours Josiah has to work in order to buy the present.
Answer:
Step-by-step explanation:
9h + 24 = 60
Geometry - Isosceles & Equilateral Tirangles
Solve for x *
Answer:
x = 11
Step-by-step explanation:
Here, the two angles given are equal to each other. So, it is an isosceles triangle.Therefore, the sides opposite to the two angles are equal.Therefore,(x + 13) ft = 24 ft
or, x ft = 24 ft - 13 ft
or, x ft = 11 ft
or, x = 11
Hope it helps.
Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.
Answer:
x = 11ftStep-by-step explanation:
Isosceles Triangle: A triangle with two equal sides. The angles opposite the equal sides are also equal.
so
(x + 13) = 24
x + 13 = 24
x = 24 - 13
x = 11
--------------------
check
11 + 13 = 24
24 = 24
the answer is good
Fig rolls
normal price £1.08
buy one get 2nd half price
what is the total of three packets
Answer:
The total cost for two packets of Fig rolls is £1.62
Step-by-step explanation:
find.
number y if 2/5of y is 22
A bowl contains only red marbles, blue marbles and green marbles. The probability of selecting a red marble from the bowl is 3/13. The probability of selecting a blue marble from the bowl is 2/5. There are fewer than 100 marbles in the bowl. What is the probability of selecting a green marble and then a red marble from the bowl on the first two selections, assuming marbles are not returned to the bowl after being pulled
====================================================
Explanation:
3/13 = 15/65 after multiplying top and bottom by 5
2/5 = 26/65 after multiplying top and bottom by 13
Let's say there are 65 marbles in the bowl. That would mean 15 of them are red (since 15/65 reduces to 3/13) and 26 are blue. That gives 15+26 = 41 so far. Leaving 65-41 = 24 marbles that must be green.
The probability of selecting a green marble is 24/65. Once that first green marble is taken out, it is not replaced. We have 65-1 = 64 marbles left, 15 of which are red. The probability of picking red on the second selection is 15/64.
Multiply the fractions mentioned:
(24/65)*(15/64)
(24*15)/(65*64)
360/4160
9/104
Lillian read 43 pages in 1 1/3 hours. At what rate, in pages per hour, did she read?
Answer:
hi
Step-by-step explanation:
Answer:
She reads one page in 1.40
Given z varies jointly as x and y, use the given values to find an equation that relates x, y, and z.
x = 3, y = 8, and z = 54
Answer:
z = 2.25xy
Step-by-step explanation:
Given z varies jointly as x and y then the equation relating them is
z = kxy ← k is the constant of variation
To find k use the condition x = 3, y = 8 and z = 54 , then
54 = k × 3 × 8 = 24k ( divide both sides by 24 )
[tex]\frac{54}{24}[/tex] = k = 2.25
z = 2.25xy ← equation of variation
What are the solutions to the equation (x-1)(x+2)=-2?
Method used:-
Completing the square method.
Steps :-
[tex]( x - 1 ) ( x + 2 ) = - 2\\x^{2}+x-2=-2 \\x^{2}+x=-2+2 \\x^{2}+x=0[/tex]
Now, make the left hand side of the equation by adding the square of ½ to both sides of the equation.
[tex]x^{2}+x+\left(\frac{1}{2}\right)^{2}=\left(\frac{1}{2}\right)^{2} \\x^{2}+x+\frac{1}{4}=\frac{1}{4} \\\left(x+\frac{1}{2}\right)^{2}=\frac{1}{4} \\\sqrt{\left(x+\frac{1}{2}\right)^{2}}=\sqrt{\frac{1}{4}} \\[/tex]
Simplify the equation. You'll get a +ve & -ve value.
[tex]x+\frac{1}{2}=\frac{1}{2} \\x+\frac{1}{2}=-\frac{1}{2}[/tex]
Simplify it further.
[tex]\boxed{\sf\:x=0}\\ \boxed{\sf\:x=-1 }[/tex]
The solutions are :-
x = 0 & x = -1
______
Hope it helps ⚜
For the function, f(x)=20x+135, what does x represent?
In a hypothetical economy, current inflation-adjusted economic output is rising and is expected to continue rising in the coming months. This economy is currently in the___
peak stage of the business cycle
trough stage of the business cycle
contraction stage of the business cycle
expansion stage of the business cycle
The economic output is rising and is expected to continue rising in the coming months, the economy is currently in the expansion stage of the business cycle.
The business cycle consists of the following stages which changes with time;
Expansion stage: continuous rise in economic output.Peak stage: maximum economic output.Contraction (recession) stage: a continuous decline in economic output.Trough stage: the point of lowest economic output.Thus, when the economic output is rising and is expected to continue rising in the coming months, the economy is currently in the expansion stage of the business cycle.
Learn more about business cycle here: https://brainly.com/question/904465
Raymond has 3 pounds of birdseed. He has 5 bird feeders in his yard. How much seeds can he put in each feeder?
Answer:
The answer is 0
Step-by-step explanation:
Based on the given conditions, formulate: 3 ÷ 5
Evaluate the equation/expression: 0.6
Find the largest integer less than or equal to : 0.6 : 0
Answer: 0
What are objects that are 1 kg
Answer:
One liter of water.
A Pineapple.
A Bunch of Bananas.
A 1 liter bottle of water
C. Because slope =
rise over run the slope of a "downhill" line must be
run
What is the value of the sin each of the following 5607 506 702 803 562
Answer:
sin(5607) = 0.67641680533
sin(506) = -0.202179403335
sin(702) = -0.989367016834
sin(803) = -0.948263002181
sin(562) = 0.33827666045
Step-by-step explanation:
put sin into a calculator and then put in the number
hope this helps! :)
Which graph represents a system of equation within solution?
Answer:
B
Step-by-step explanation:
In B, the lines are parallel meaning they will never intersect and have no solution. However, in C you can tell that the lines will intersect eventually so it does have a solution.
Answer:
B
Step-by-step explanation:
From the picture I can see you crossed out A and D, which only leaves B and C. If we extrapolate the graph at C the lines are eventually going to intersect, whereas in B the lines are going in parallel against each other, meaning there will never be an intersection between the two. So B would represent a system of equations with no solutions.
AGHHHHHH I REALLY NEED HELP!!!!!!!!!!!! (pls actually answer it though!)
tysm if u answer it:)
Answer:
23/99 or 0.22222222222222.
Step-by-step explanation:
Answer:
23/99
Step-by-step explanation:
-10 + = -3 I need help
Answer:
the answer is
7
Step-by-step explanation:
why is it 7 it is cause -10+7=3
Answer:
7
the answer is 7 because -10+7=-3
Use the table to work out the values of
a
,
b
,
c
, and
d
.
x
y
=
3
x
−
x
2
+
6
−
3
a
−
2
−
4
−
1
b
0
6
1
8
2
c
3
d
Answer:
Here is your answer
Step-by-step explanation:
50
5) So far you have a MP3 Player with 0.5 GB of music already stored on the MP3 player and know that each song is about 0.002 GB of memory. What are the possible numbers of additional songs that you can put on the MP3 player if it holds at most 2 GB?
Answer: Any whole number between 0 and 750, including both endpoints.
One example could be 700 additional songs.
==================================================
Explanation:
x = number of additional songs, some nonnegative whole number
1 song takes up 0.002 GB, so x of them take up 0.002x GB of memory.
Add on the 0.5 GB already used to get the expression 0.002x+0.5 to represent the total amount of storage taken up. We want this expression to be 2 or smaller.
[tex]0.002x + 0.5 \le 2\\\\0.002x \le 2-0.5\\\\0.002x \le 1.5\\\\x \le 1.5/0.002\\\\x \le 750\\\\[/tex]
This says the most songs we can add are 750.
Because x is the number of songs, it doesn't make sense to have x be negative. This means [tex]x \ge 0[/tex] or [tex]0 \le x[/tex] is the case as well.
Combining [tex]0 \le x[/tex] and [tex]x \le 750[/tex] produces the compound inequality [tex]0 \le x \le 750[/tex]
The number of additional songs is any whole number between 0 and 750, including both endpoints.
The roster notation of this set could look like this: {0, 1, 2, ..., 748,749,750}
The triple dots indicate "keep this pattern going". That way we don't have to fill in all 751 values which would be a tedious process.
So you can add on something like 700 songs because it's between those endpoints mentioned, but cannot add something like 800 songs.
Answer:
0 - 750 additional songs
Step-by-step explanation:
current: 0.5 mb
remaining: 2-0.5=1.5 mb
each song: 0.002 gb
take remainig amount of space: 1.5 mb and divide by how much space each song takes: 0.002 mb to find out how many songs can fit in 1.5 mb of space
work:
(total amount of storage-used amount of storage)/storage per song
(2.0-0.5)/0.002
= 1.5/0.002
= 750 songs
what are the possible number of additional songs?
anything up until 750.
What is the length of the line?
answer choices
A 7
B 10
C 29
D 21
Answer:
[tex]\sqrt{29}[/tex]
Step-by-step explanation:
The line has a horizontal length of 2 units and a vertical length of 5 units
The line is then the hypotenuse h of a right triangle.
Using Pythagoras' identity
h² = 2² + 5² = 4 + 25 = 29 ( take square root of both sides )
h = [tex]\sqrt{29}[/tex]
The length of the line given is √29 units.
Hence, the correct option is C.
Given is line on the cartesian plain we need to calculate its length.
Refer to the figure attached.
The figure can be converted into a right triangle with perpendicular = 5 units and the base = 2 units.
The line asked will act as the hypotenuse, so, to find its length we will use the Pythagorean theorem,
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the perpendicular side of the right triangle is given as 5 units, and the base is given as 2 units.
Let's denote the length of the hypotenuse as 'x'.
According to the Pythagorean theorem, we have:
x = 5² + 2²
Simplifying this equation:
x² = 25 + 4
x² = 29
To find the length of the hypotenuse, we take the square root of both sides:
x = √29
So, the length of the hypotenuse, in this case, is approximately √29 units.
Learn more about Pythagorean theorem, click;
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A cookbook originally cost $13.00. Yesterday, Marta bought it at 40% off.
How much was deducted from the original price?
$0.40
$4.20
$5.20
$7.80
The price of a computer is first reduced by 10% and after a while by another 20%. Who is right? Explain how you are thinking.
Almir: In total, the price has been reduced by 30%.
Bodil: The reduction is less than 30%. Viktor: The price has been reduced by more than 30%.
if u reduced the price by 10% first it would go from 100% to 90%
20% of 90 is 18
at the end the price is 72% of the original price.
Bodil is correct. The reduction is less than 30%.