Answer:
First one x = 14
Step-by-step explanation:
First one
The sum of the interior angles of a triangle = 180
so
(180-124) + (180-6x) + 2x = 180
x = 14
Find the lowest value of the following
4%
1/4
0.4%
0.4
since 4% and 0.4% are in percentage already
then convert ¼ and 0.4 to percent
¼ to percent = ¼× 100
= 25%
0.4 to percent = 4/10 ×100
=40%
the smallest is 0.4%
A playground is rectangular with a length of 2/4 miles. If the area of the playground is 8/12 square miles, what is its width? Input your answer as a fraction.
Answer:
[tex]\frac{4}{3}[/tex] miles
Step-by-step explanation:
Check the attachment.
If the non-parallel sides of a Trapezium are equal prove that it is cyclic.
Step-by-step explanation:
Solved in the attachment!! Hope it helps you!!This table represents a linear relationship between x and y.
X Y
-6 -3
-4 -2
-2 -1
0 0
Based on the linear relationship in
this table, what is the value of y when x is 4?
A. 1
B. 2
C. 3
D. 4
Answer:
y = 2
Step-by-step explanation:
Given table:
[tex]\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ } \\\underline{| \ \ \text{x} \ \ | \ \ \text{y} \ \ | } \\ \underline{| \ \text{-6} \ \ | \ \text{-3} \ \ |} \\ | \underline{\ \text{-4} \ \ | \ \text{-2} \ \ | }\\ \underline{| \ \text{-2} \ \ | \ \text{-1} \ \ |} \\ \underline{| \ \ \text{0} \ \ | \ \ 0 \ \ |}[/tex]
To determine the value of y when "x" is 4, we need to determine the equation of the line that represents the table given. Then, we can substitute the value of "x" in the equation to determine the value of y.
Determining the equation of the line that represents the table:
Y-intercept:
Since the coordinate (0, 0) is included in the table, we can tell that the equation of the line that represents the table passes through the origin. Therefore, we can tell that the y-intercept is 0 as the y-intercept is the point on the line that intersects the y-axis.
Slope:
The slope of the line can be determined by picking any two points in the table and substituting the coordinates of the chosen points in the slope formula. Let our chosen points be (-6, -3) and (0, 0).
[tex]\implies \text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
[tex]\implies \text{Slope} = \dfrac{0 - (-3) }{0 - (-6) }[/tex]
[tex]\implies \text{Slope} = \dfrac{0 + 3 }{0 + 6 }[/tex]
[tex]\implies \text{Slope} = \dfrac{3}{6} = \dfrac{1}{2}[/tex]
Equation of line:
The equation of the line represented by the table in slope intercept form is y = mx + b, where "m" is the slope and "b" is the y-intercept.
Obtained slope and y-intercept:
Slope = 1/2y-intercept = 0⇒ y = (1/2)x + 0
⇒ y = x/2
Therefore, the equation of the line is y = x/2.
Determining the value of y when "x" is 4:
Obtained equation of line that represents the table:
⇒ y = x/2Given value:
x = 4Therefore,
⇒ y = (4)/2⇒ y = 2Thus, the value of "y" when "x" is 4 is 2.
I need to figure out how to how to find the are of a plus shaped symbol, how would I do this?
Answer:
add the areas of the parts
Step-by-step explanation:
The area of an unusual shape is often easily found by decomposing it into shapes that you have formulas for. Divide the shape into parts, and add the areas of those parts.
__
negative areaAlternatively, some shapes are conveniently described by "missing" parts, For example, your "plus shaped" figure may be described as an overall rectangle with rectangles removed from the corners. Then the area of the shape is found by subtracting the missing area from that of the overall rectangle.
__
overlapping partsAs a rule, you want the parts to be non-overlapping. That way, you can add the areas of the parts without counting any area twice (or more times). If you have overlapping parts, you need to subtract the area(s) that may be counted multiple times.
__
symmetrySometimes you can take advantage of symmetry, so that you only need to compute part of the total area, then multiply by a factor that takes the symmetry into account.
__
exampleIn the attached figure, the dimensions of rectangle A are 6 m wide by 7 m high. The dimensions of rectangle B must be found by adding the width dimensions shown across the top of the figure: 5 m +6 m +6 m = 16 m. It is marked as 4 m high. Then the total area is ...
area of A + area of B
= (6 m)(7 m) +(16 m)(4 m)
= 42 m² +64 m² = 106 m²
This can also be found as the area of the 16 m by 11 m enclosing rectangle, less the two 5 m by 7 m corner cut-outs.
(16 m)(11 m) -2(5 m)(7 m) = 176 m² -2(35 m²) = 106 m²
Find the integral of √(x² +4) W.R.T x
Answer:
[tex]\frac{x}{2} *\sqrt{x^{2} +4}[/tex] +[tex]\frac{1}{2}[/tex]*LN(|[tex]\frac{x+\sqrt{x^{2} +4} }{2}[/tex]|) +C
Step-by-step explanation:
we will have to do a trig sub for this
use x=a*tanθ for sqrt(x^2 +a^2) where a=2
x=2tanθ, dx= 2 sec^2 (θ) dθ
this turns [tex]\int\limits {\sqrt{x^{2}+4 } } \, dx[/tex] into integral(sqrt( [2tanθ]^2 +4) * 2sec^2 (θ) )dθ
the sqrt( [2tanθ]^2 +4) will condense into 2sec^2 (θ) after converting tan^2(θ) into sec^2(θ) -1
then it simplifies into integral(4*sec^3 (θ)) dθ
you will need to do integration by parts to work out the integral of sec^3(θ) but it will turn into (1/2)sec(θ)tan(θ) + (1/2) LN(|sec(θ)+tan(θ)|) +C
then you will need to rework your functions of θ back into functions of x
tanθ will resolve back into [tex]\frac{x}{2}[/tex] (see substitutions) while secθ will resolve into [tex]\frac{\sqrt{x^{2} +4} }{2}[/tex]
sec(θ)=[tex]\frac{\sqrt{x^{2} +4} }{2}[/tex] is from its ratio identity of hyp/adj where the hyp. is [tex]\sqrt{x^{2} +4}[/tex] and adj is 2 (see tan(θ) ratio)
after resolving back into functions of x, substitute ratios for trig functions:
= [tex]\frac{x}{2} *\sqrt{x^{2} +4}[/tex] + [tex]\frac{1}{2}[/tex]*LN(|[tex]\frac{x+\sqrt{x^{2} +4} }{2}[/tex]|) +C
How is the sign for PI ???
Answer:
its this symbol
Step-by-step explanation:
| Tracey has two empty cube-shaped containers with sides of 5 inches and 7 inches. She fills the smaller container completely with water and then pours all the water from the smaller container into the larger container. How deep, to the nearest tenth of an inch, will the water be in the larger container?
Answer:
5x7=35
Step-by-step explanation:
A tenth of an inch of water container will be 35.
A car travels 98 miles in 1. 4 hours. How far can it travel in 7 hours at the same speed
Answer:
490 miles
Step-by-step explanation:
7/1.4 = 5
98*5 = 490
Round 534 to the nearest hundred
Answer:
500 is the answer
Step-by-step explanation:
hope it helps....
Answer:
500 and 600
Step-by-step explanation:
Round 536 to the nearest hundred. 536 is between 500 and 600. Look at the 30 in the tens place. It is below 50, so round down to 500.
Ari spent $35. 80 for 4 posters if the price of each poster was the same what was the price of 1 poster
Answer:
$8.95
Step-by-step explanation:
If Ari spent $35.80 for 4 posters and each of the poster price was the same therefore if we want the price for one poster we have to divide $35.80 by four to see the cost for one poster which will be $8.95. If you want to know if the price of each poster was the same you can just multiply $8.95 by 4 and you'll actually see that you got back the same money that Ari used to spend for the four posters .
I need helping finding what X is
Answer:
Step-by-step explanation:
x + 4 = 2x + 1 -x -x 4 = 1x + 1 -1 -1 3 = 1x -- -- 1 1 3 = x
Check: 3 + 4 = 2(3) + 1 7 = 6 + 1 7 = 7
Find the surface area of the pyramid song to the nearest whole number.
Answer:
85 ft^2
Step-by-step explanation:
Base = 5 x 5 = 25 ft^2
FOUR triangles 4 * 1/2 * b * h = 4 * 1/2 * 5 * 6 = 60 ft^2
added together = 85 ft^2
Find the vertex. y = 3x2 + 6x – 11 ([?],[ ]
Answer:
[tex] - 60[/tex]
-60 is a correct answer hope this answer is rightFor each ordered pair determine whether it is a solution to 7x+4y=-23
Answer:
a. no
b. no
c. no
d. yes
Step-by-step explanation:
Case I
x = -1
y = -4
7( -1) + 4 ( -4) = -23
-7 - 4 = -23
- 11 [tex]\neq[/tex] -23
Case II
x = 2
y= 6
7 (2) + 4 ( 6) = -23
14 + 24 = -23
38 [tex]\neq[/tex] -23
Case III
x = 6
y = -7
7 ( 6) + 4 (3) =- 23
42+ 12 = -23
54 [tex]\neq[/tex] -23
Case IV
x = -5
y = 3
7 (-5) + 4 ( 3) =- 23
-35 + 12 = -23
-23 = -23
Which equation would you use to find the distance between the two points? A. |2 - 4| B. |2 - (-4)| C. |-5 - 5| D. |2 + (-4)|
Answer:
Step-by-step explanation:
Could you show two points need to be calculated? A and D are the same in this case
Find each measure. Assume that segments that appear to be tangent are tangent.
Answer: 97 degrees
Step-by-step explanation:
_____________, fill in the blank,, typically used to increase ticket sales on low attendance days, offer fans discounts on concessions
Dynamic pricing is typically used to increase ticket sales on low attendance days, offer fans discounts on concessions.
What is dynamic pricing?Dynamic pricing is used to set the price of tickets based on the situation of the demand and reduce the number of unsold tickets.
It is used to adjust the prices that tickets are sold during sports which can be based on such variables as demand, weather, team performance and even pitching match-ups.
Therefore, Dynamic pricing is typically used to increase ticket sales on low attendance days, offer fans discounts on concessions.
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pls help!! need asap for 40 pts
Answer:
247.29 ft
Step-by-step explanation:
Need to find the opposite side, so use sine
4725sin 3 = 247.29
NEED HELP QUICKLY WILL GIVE RIGHT ANSWER POINTS!!!!
Answer:
[tex]x=45 \sqrt{5}[/tex]
Step-by-step explanation:
[tex]2 \log_3x+\log_35=4\log_315[/tex]
[tex]\textsf{Apply power log law}\quad n\log_ab=\log_ab^n:[/tex]
[tex]\implies \log_3x^2+\log_35=\log_315^4[/tex]
[tex]\textsf{Apply product log law}\quad \log_ab+\log_ac=\log_abc:[/tex]
[tex]\implies \log_35x^2=\log_315^4[/tex]
[tex]\textsf{Apply equality log law}\quad \log_ab=\log_ac \implies b=c:[/tex]
[tex]\implies 5x^2=15^4[/tex]
[tex]\implies x^2=10125[/tex]
[tex]\implies x=\pm \sqrt{10125}[/tex]
[tex]\implies x=\pm \sqrt{2025 \cdot 5}[/tex]
[tex]\implies x=\pm \sqrt{2025} \sqrt{5}[/tex]
[tex]\implies x=\pm 45 \sqrt{5}[/tex]
As we cannot take logs of negative numbers,
[tex]\implies x=45 \sqrt{5}\quad \sf only[/tex]
What is the product?
Answer:
The answer I got was
Step-by-step explanation:
[7, 4, 3]
You use the matrix calculator and then select a*b
Pls figure out the intercepts
y= 10x −32
x intercepts: (___, ___)
y intercepts: (___,___)
pls help
Answer:
X intercepts: (0,12)
Y intercepts: (-32,88)
find the measure of the indicated angle to the nearest degree.
Answer:
23°
Step-by-step explanation:
Let the measure of the required angle be [tex]\theta[/tex]
[tex] \implies \: \theta = { \cos}^{ - 1} \: \bigg(\frac{35}{38} \bigg) \\ \\ \implies \: \theta =22.9195421516\\\\ \implies \: \theta =23\degree[/tex]
please help me...asap
i really need to pass this course
You are a market analyst working on game consoles. Suny’s Playcom series takes up 40% of the market share, Microsoft Box series takes up 35% of the market share and Nintendo’s Wee takes the the remaining 25% of the market share. According to industry reports, 1% of Playcom is defective, 3% of YBox is defective and 5% of Wee is defective worldwide. What is the probability of a game console buyer buying a defective Suny Playcom?
Using it's concept, it is found that there is a 0.004 = 0.4% probability of a game console buyer buying a defective Suny Playcom.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, 40% of the consoles bought are of the Suny Playcom series, and of those, 1% are defective, hence the probability is given by:
p = 0.4 x 0.01 = 0.004
0.004 = 0.4% probability of a game console buyer buying a defective Suny Playcom.
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 Order these numbers least to greatest
Answer:
-24/16, -√2, 21/51, 0.42
Step-by-step explanation:
Look at the signs of the numbers. Negative numbers will be on the left, while positive numbers will be on the right. That means -√2 and -24/16 will be on the left, while 0.42 and 21/51 will be on the right.
Part 1:
We can change the negative numbers to decimals to compare them.
-√2 ≈ -1.41
-24/16 = -1.5
-1.5 is smaller, which means the first number in the sequence will be -24/16 and then -√2.
Part 2:
We can also change the positive numbers to decimals to compare them.
0.42 = 0.42
21/51 ≈ 0.41
21/51 is a bit smaller, so the third number in the sequence will be 21/51 and then 0.42.
I hope this helps and please mark me as brainliest!
Quick I need to finish this and I still have more questions after
Answer:
[tex]1\frac{1}{2}[/tex] or 1.5
Step-by-step explanation:
Now we know it's a dilation. So we can use any two points. I chose V and V'.
V: (3,6)
V': (2,4)
So how we get from 6 to 4?
[tex]4(x)=6\\x=\frac{6}{4} \\x=1.5[/tex]
You can tell it's 1.5 aswell because 4 times 1 is 4 and 4 times 0.5 is 2. Add them to get 6.
Therefore, the dilation factor is 1.5.
A tree breaks due to storm and the broken part bends, so that the top of the tree touches the ground making an angle of 60 degree with the ground. The distance between the feet of the tree to the point where the top touches the ground is 16m. Find the height of the tree.
The height of the triangle is 8root3 meters.
We have given that,
A tree breaks due to a storm and the broken part bends,
So that the top of the tree touches the ground making an angle of 60 degrees with the ground.
The distance between the feet of the tree to the point where the top touches the ground is 16m.
Let the Height of the Tree =AB+AD
and given that BD=8 m
Now, when it breaks a part of it will remain perpendicular to the ground (AB) and the remaining part (AD) will make an angle of 30 degrees.
Now, in △ABD
cos(30)=BD/AD=BD=root3AD/2
AD=2(8)/root3
also in the same triangle
[tex]tan(30)=AB/BD\implies 8/\sqrt{3}[/tex]
What is the height of the triangle?Height of the tree=AB+AD
[tex]=\frac{16}{\sqrt{3} }+\frac{8}{\sqrt{3} } }[/tex]
[tex]=\frac{24}{\sqrt{3} } \\=8\sqrt{3}m[/tex]
Therefore the height of the triangle is 8root3.
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Consider a continuous random variable x, which is uniformly distributed between 65 and 85. The probability of x taking on a value between 75 to 90 is ________.
We will see that the probability of x taking on a value between 75 to 90 is P = 0.5
How to get the probability?We know that x is a continuous random variable uniformly distributed between 65 and 85.
This means that the probability that x value y in the range is such that:
1 = P(y)*(85 - 65) = P(y)*20
1/20 = P(y).
Now, the probability of x taking a value between 75 and 85 is:
P(75 to 85) = (1/20)*(85 - 75) = 10/20 = 0.5
And the probability between 85 and 90 is zero (because the maximum value that x can take is 85, so this part does not affect).
Then we conclude that the probability of x taking a value between 75 to 90 is:
P(75 to 90) = P(75 to 85) + P(85 to 90) = 0.5 + 0 = 0.5
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