The area of triangle PQR is 273 cm. Given that PQ = 12.8cm and PQR = 107°, find QR.
[tex]\text{Area of triangle} = \dfrac 12 \times PQ \times QR \times \sin \angle PQR \\\\\\\implies 273= \dfrac 12 \times 12.8 \times QR \times \sin 107^{\circ}\\\\\implies 273 = 6.4 \sin 107^{\circ} \times QR\\\\\\\implies QR = \dfrac{273}{6.4 \sin 107^{\circ}} = 44. 606~~ \text{cm}[/tex]
Translate to an inequality. Use the variable x.
A number is less than 15.
Answer:
that's the correct answers
Step-by-step explanation:
thanks for your
To translate the statement "A number is less than 15" into an inequality using the variable x, we write:
x < 15
This inequality indicates that the value of x is any number that is smaller than 15. In other words, x can be any real number in the open interval (-∞, 15). It represents a wide range of values from negative infinity up to, but not including, 15.
This statement is not restrictive and allows for infinite possibilities for x, as long as it is smaller than 15. The inequality x < 15 leaves ample room for a wide variety of numerical solutions.
Therefore, to translate the statement "A number is less than 15" into an inequality using the variable x, we write:
x < 15
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Castel and Kali are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Castel sold 2 rolls of plain wrapping paper and 5 rolls of holiday wrapping paper for a total of $89. Kali sold 9 rolls of plain wrapping paper and 10 rolls of holiday wrapping paper for a total of $213. What is the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper?
please help, am not good at word problems. I will also give the brainliest answer.
Answer:
Plain is $7 and Holiday is $15
Step-by-step explanation:
Castel: 2p + 5h = 89
Kali: 9p + 10h = 213
Double Castel's: 4p + 10h = 178
Subtract fro Kali's 9p + 10h = 213
- 4p + 10h = 178
5p = 35
p = 7 Plain is $7
Substitute 7 into one of the equations and solve for h:
2(7) + 5h = 89
14 + 5h = 89
5h = 75
h = 15 Holiday is $15
What is the total of 6, 4.25, and 7.74?
Answer:
17.99
Step-by-step explanation:
What is the answer to this?
Answer:
[tex]\frac{12}5[/tex]
Step-by-step explanation:
The easiest way to find the tangent is to calculate the ratio of opposite side over the adjacent, or [tex]\frac{12}5[/tex]
We know
[tex]\\ \sf{:}\Rrightarrow tan\Theta=\dfrac{Perpendicular}{Base}[/tex]
Now
[tex]\\ \sf{:}\Rrightarrow tanT=\dfrac{SU}{TU}[/tex]
[tex]\\ \sf{:}\Rrightarrow tanT=\dfrac{12}{5}[/tex]
How to write a line segment
Answer:
In geometry, you will write a line segment using the letters for each of the end points and a line over the top of the letters.
1 1/5+3 2/5 as a fraction
Answer:
23/54 3/5Step-by-step explanation:
1 1/5 + 3 2/5=> 6/5 + 17/5=> 23/5Conclusion:
Therefore, the answer is:
23/54 3/5Hoped this helped.
[tex]GeniusUser[/tex]
The sum of the fraction [tex]1\frac{1}{5} and 3\frac{2}{5}[/tex] is 6/5 + 17/5 which is equal to [tex]4\frac{3}{5}[/tex].
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, are the sum of two fractions [tex]1\frac{1}{5} and 3\frac{2}{5}[/tex] which is,
= 6/5 + 17/5.
= (6 + 17)/5.
= 23/5.
= [tex]4\frac{3}{5}[/tex].
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8
Find the arc length of the partial circle.
units
Answer:
How to solve ???Arc Length = θ × (π/180) × r, where θ is in degree.
Radius and the sector area:-Multiply the sector area by 2.Then divide the result by the radius squared (the units should be the same) to get the central angle in radians.Multiply the central angle by the radius to get the arc length.Let's solve ur question :- Answer :-The Arc length of the given partial circle is 4π units or 12.56 units .
Used formulae :- The length of the Arc is "I" units , the radius "I" units and the angle subtended by the Arc at the center is "X" is ( X° / 360° ) x 2πr units .Circumference of the circle = 2πr units .π = 3.14Step-by-step explanation:
Ur answer with proof refer to above attachments .Hope this helps you XD ✌️Answer:
4π
Step-by-step explanation:
Hope this helps!
Math makes me think I shouldn’t be alive anyway the question is in the picture
find the quotient 8^6/8^2
Answer:
4096
Step-by-step explanation:
Bob's Gift Shop sold 350 cards for Mother's Day. One salesman, Bentley, sold 2% of the cards sold for Mother's Day. How many cards did Bentley sell?
2% of 350 is 7, so Bentley sold 7 cards on Mother's Day
How much water do you need to add to make each concentration?
1% sugar syrup using 12 g sugar
Answer:
108 g of water
Hope This Helps!!!
Which expression is equivalent to -9x^-1y^-9/-15x3y-3? Assume x & y ≠ 0
Step-by-step explanation:
when we have multiplications of fractions, we can simply "break" the multiplications apart, simplify every fraction, and then combine the results again.
-9/-15 = 3/5
x^-1/x⁵ = 1/x¹x⁵ = 1/x⁶
y^-9/y^-3 = y³/y⁹ = 1/y⁶
so, when we multiply the 3 fractions again, we get
3/(5x⁶y⁶)
which is the second answer option.
Factor out the GCF
4g^3-6g+20g^2
Answer:
[tex]\sf 2g(2g ^2-3+10g)[/tex]Step-by-step explanation:
[tex]\sf 4g^3-6g+20g^2[/tex]
GFC: 2g
We'll Write the GCF first, then, divide each term by the GCF.
[tex]\sf 2g(\frac{4g^3}{2g}-\frac{6g}{2g} +\frac{20^2}{2g} )[/tex]
[tex]\sf 2g(2g ^2-3+10g)[/tex]
Need help asap!! :) 2. Solve for x.
The points (2, 1) and (0, –11) fall on a particular line. What is its equation in slope-intercept form?
What is the percent decrease of the price of a bicycle if the original price was $120 and the sale price is $80?
Answer:
33.3%
Step-by-step explanation:
1. Formula: difference/original
2. 120 - 80 = 40
3. 40/120
4. 1/3
5. 1/3 = 33.3%
Select the correct answer.
Triangle ABC is reflected across the yaxls and then dilated by a factor of 2 centered at the origin. Which statement correctly describes the
resulting Image, triangle DEF?
Answer: B
Step-by-step explanation:
Reflection does preserve side length and dilation preserves angles.
The solution is Option B.
The reflection preserves the side lengths of the triangle ABC and the dilation preserves angles but not side lengths
What is Reflection?Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.
The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
Given data ,
Let the triangle be represented as ΔABC
Now , Triangle ABC is reflected across the y-axis and then dilated by a factor of 2 centered at the origin
And , when you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
So , only the x coordinate of the point changes and there is no change in the angles or the side lengths
Now , dilation changes the side lengths of the triangle by a factor of 2
But there is no change in the angles of the triangle after a dilation
Hence , reflection preserves the angles and side lengths of a triangle
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Charisse collects antique salt and pepper shakers. The value of her cactus salt and pepper shakers is shown (56.28$). The value of these salt and pepper is expected to change by an average of -2 2 over 5% per year. What is the value of the salt and pepper shakers projected to be in two years? | Can I get explanation too thanks!
Answer:
$53.61
Step-by-step explanation:
It looks like the rate of change is supposed to be -2 2/5% = -2.4% per year. That means the "growth factor" is ...
growth factor = 1 + growth rate
growth factor = 1 -2.4% = 1 -0.024 = 0.976
Each year, Charisse's cactus salt and pepper shakers will have their value multiplied by this factor. After 2 years, their value will be ...
($56.28)(0.976)(0.976) = $56.28×0.976^2 ≈ $53.61
The value is projected to be $53.61 in 2 years.
Choose the best response to the question below:
When multiplying the same variable to different exponents add the exponents and multiply the constant numbers:
3x x 2x = 6x
^2 + ^3 = ^5
Answer is a. 6x^5
Your family is
moving. A rental truck
costs $40, plus $0.15 for
every mile driven. Write
an equation to
represent the total
cost, c, of the moving
truck.
Answer: 4.15
Step-by-step explanation:
The table represents the function f(x).
x
-3
-2
-1
0
1
2
3
f(x)
-9
-6
-3
0
3
6
9
What is f(3)?
-9
-1
1
9
Answer:
f(3) = 9
Step-by-step explanation:
The value for f(3) is given in the table (last entry)
But one can see that the function, f, is:
f(x) = 3x
This works for all values. f(3) = 3*3 or 9
The range of the function when x = 3 is f ( 3 ) = 9
What are domain and range?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.
Given data ,
Let the input values of the function be x
where x = { -3 , -2 , -1 , 0 , 1 , 2 , 3 }
Let the output values of the function be y
where y = { -9 , -6 , -3 , 0 , 3 , 6 , 9 }
So , the range of the function when x = 3 is
f ( 3 ) = 9
Hence , the function is solved
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WILL GIVE BRAINLY,5 STARS,AND THANKS
Answer:
Step 1: 10 group(s) of 23 = 230
Step 2: 6 group(s) of 23 = 138
Step 3: Add the partial quotients: 10 + 6 = 16
Step-by-step explanation:
For step one you can tell that 230/10 is 23. You can tell this because of the zero at the end of the number. Anything multiplied by 10 is that number but with a zero at the end. For step 2 you kind of have to do long division, or you can use a calculator. You will end up with 6. When you add the partial quotients, it means add the answers to steps 1 and 2 together and get 16. This should be right hope it helps!
Answer
From the results, we can conclude:
230=23×10
138=23×6
Therefore:
Step 1: 10 groups of 23 = 230
Step 2: 6 groups of 23 = 138
Step 3: Add the partial quotients: 10 + 6 = 16
answer 10 + 6 = 16
find the sequence 5n+1
Answer:
Their are many answers for that seqence such as
1,6,11,16,21, etc..
Answer:
6,11,16,21,26,31,36...
Step-by-step explanation:
5x1=5 +1=6
5x2=10+1=11
...
6 - 3/8x = 15
what is x
Answer:
Step-by-step explanation:
the answer is -480
Answer:
x = -24
Step-by-step explanation:
First, transpose 6 to the right and remember that 6 must change sign if you transpose it, that'll give you
- 3/8x = 15-6
-3/8x = 9
Divide both sides by - 3/8
Then x = - 24
Which of the following values are in the range of the function graphed below?
Check all that
apply.
Answer:
(-2,1)(-1,1)(0,1)(1,1) or y=2 x=[-2,1]
Step-by-step explanation:
Brainliest Please
please solve quickly
Step-by-step explanation:
first you need to find the height
V = L×W×H
the volume your given is 880mm³
length is 22mm
width is 8mm
height is unknown
furthermore
V=L×W×H
880mm³= 22mm×8mm×H
880mm³= 176mm²×H
880mm³/176mm²=176mm²/176mm²×H
5mm=H
H=5mm
Surface Area= S.Atherefore S.A=2(L×W+ W×H +L×H)
=2(22mm×8mm+8mm×5mm+22mm×5mm)
=2(176mm²+40mm²+ 110mm²)
=352mm²+80mm²+220mm²
=652mm²
50 POINTS!!!!!!!!
(if you answer just for points or its a wrong answer and no effort was put fourth, then I will report and remove your answer, however a correct answer I will mark with a brainliest)
Please also provide and in detail explanation on how you solved it.
Substitution:
2x + 4y = 0
y = -8x
Basically I dont understand how to do it if it has an x value on both the top and the bottom equation.
Answer:
x=0, y=0
(0,0)
Step-by-step explanation:
First you see that y= -8x, so you would place that in the y variable for the question above, which means your question would now be 2x+4(-8x)=0. Now you would solve 4 time -8x which is -32x. The equation would then be 2x-32x=0. Then you would Combine Like Terms which would get you -30x=0. Then you divide -30 by 0 which gets you an x = 0. Then you would solve for y. Lets make it easy. You can plug in the x to any of the substitution problems, but I prefer doing it to y= -8x since it is easier. You will see why. You would then do, -8(0) (0 is the x value) and your answer would be 0, because -8 times 0 is well 0. Once you got this, you know your x is 0 and y is 0, so your answer would be (0,0). The reason it is easier to substitute the bottom rather than the top is because for the top, you would do 2(0) + 4y = 0, then you would solve which gets you 0+4y=0, then subtract 0-0 which is 0, then you would divide 4y by 0 which gets you an answer of 0. This is much more complex than just substituting the problem for y = -8x. I really hope this helps you out. I know it is confusing, but if you keep on solving more of these and working them out, then it will become much easier for you.
Will mark brainliest
Answer:
The heart is in the Quadrant IV
Answer:
your anwser would be IV please mark brianliest
Step-by-step explanation:
A forest covers 73,000 acres. A survey finds that 0.4% of the forest is old-growth trees. How man acres of old-growth trees are there?
There are__?__ acres of old-grown trees.
Answer:
292 acres.
Step-by-step explanation:
OK so if there are 73,000 acres of trees in total and 0.4% are old we would simply calculate what 0.4% of 73,000 which is 292. So of those 73,000 acres of trees 292 acres of them would be "old-growth trees".