Answer:
c.18
Step-by-step explanation:
32/24=1.33333333333
40/30=1.33333333333
24/1.33333333333=18
Side ST correlates to side BC. Let's use these two sides to find the scale factor between the two triangles
[tex]\text{Scale Factor}=\dfrac{30}{40}=\dfrac{3}{4}[/tex]
Triangle ABC has side lengths are the 3/4 smaller than that of RTS. The value of x is the length of side AC, which correlates with side RS
Multiply 24 by 3/4 to find the value of x
[tex]x=\dfrac{3}{4}\times24=18[/tex]
This is answer choice C. Let me know if you need any clarifications, thanks!
What true bearing is WSW equivalent to?
Answer:
S 67.50° W
Step-by-step explanation:
An architectural drawing lists the scale as 1/4" = 1'. If a bedroom measures 634" by 412" on the drawing, how large is the bedroom?
and the answer should be 18 x 27. The answers were reversed.
Step-by-step explanation:
basically you can do (6x4) + 3 = 27
and (4x4) + 2 = 18.
A ratio shows us the number of times a number contains another number. The real size of the bedroom is 2536' by 1648'.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that architectural drawing lists the scale as 1/4" = 1'. Therefore, we can write the scale ratio as,
1/4" = 1'
1" = 4'
Now, given that the bedroom measures 634" by 412" on the drawing. Therefore, the real dimensions of the bedroom are,
634" = 634 × 4' = 2536'
412" = 412× 4' = 1648'
Hence, the real size of the bedroom is 2536' by 1648'.
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Write an expression for the volume and simplify your answer. 3x x+1 x+4
Answer:
volume=3x³+15x²+12x
Step-by-step explanation:
v= l*w*h =(3x )(x+1) (x+4)
v=3x(x²+5x+4)
volume=3x³+15x²+12x
A rectangle has a perimeter of 35.8 inches and a base of 12.6 inches. What is the height?
Answer:
Height is 5.3 inches.
Step-by-step explanation:
2* base + 2*height = 35.8
2*12.6 + 2h = 35.8
h = (35.8 - 2(12.6) / 2
= (35.8 - 25.2) /2
= 10.6 / 2
= 5.3 inches.
Answer:
5.3inStep-by-step explanation:
The formula of a perimeter of a rectangle:
[tex]P=2(l+w)[/tex]
l - length
w - width
We have
[tex]P=35.8in\\l=12.6in[/tex]
Substitute:
[tex]35.8=2(12.6+w)[/tex] divide both sides by 2
[tex]\dfrac{35.8}{2}=\dfrac{2(12.6+w)}{2}[/tex]
[tex]17.9=12.6+w[/tex] subtract 12.6 from both sides
[tex]17.9-12.6=12.6-12.6+w\\\\5.3=w\to w=5.3\ (in)[/tex]
Calculate the area of triangle RST. a = 38.
Answer:
722 √(3) square units
Step-by-step explanation:
Mathematically, the area of a triangle is 1/2 * b * h
But in this question, we have the base which is a while the height is absent
We can use trigonometric ratios since we are given the angle to find the value of the height.
Since we are dealing with the opposite and the adjacent, the correct trigonometric identity to use is the tangent
Mathematically;
Tan 60 = h/a
where h represents the height which we want to calculate
h = a tan 60
But tan 60 = √(3)
So h = a √(3)
Now the area of the triangle will be;
A = 1/2 * a * a √(3)
But a has a value of 38 units.
Substituting this value, we have ;
A = 1/2 * 38 * 38 √(3)
A = 19 * 38√(3)
A = 722 √(3) square units
Write an algebraic expression yo find the number of seconds in n minutes
Answer:
60n seconds
Step-by-step explanation:
In 1 min, there are 60 seconds
So,
1 min = 60 secs
For n minutes, it becomes:
=> 60n seconds
Determine the equation for the total cost of snow tubing, the rest of the chart:
8 . 20
10 . 25
PLEASE HELP ASAP!!! *grade 9 work* best answer gets brainliest :)
Step-by-step explanation:
Notice how you get the same value each time when you divide the cost by the number of downhill rides
5/2 = 2.5 10/4 = 2.5 15/6 = 2.5Moreover when the downhill rides grow by 2 the total cost grows by 5
so we can state :
n+2 ⇒c+50+2 ⇒ 0+5 0+6 ⇒0+ (3*3)To complet the chart we can use the proportionaliyu relation:
2⇒520⇒ Cc = [tex]\frac{20*5}{2}[/tex]= 50so 20 goes with 50
same method:
2⇒525⇒ C C = [tex]\frac{25*5}{2}[/tex] =62.5so 25 goes with 62.5
What is the length of AC?
Please help me ASAP!!!
Answer:
a
Step-by-step explanation:
If you flip a coin three times in the air, what is the probability that tails lands up all three times? A. 1/2 B. 1/8 C. 1/4 D. 1/6
Answer: A) 1/2
Step-by-step explanation:
Answer:
If you flip a coin three times in the air, what is the probability that tails lands up all three times?
Step-by-step explanation:
1/2
please answers quick ,whats an inequality?
Answer:
Step-by-step explanation:
inequality is a equation with |x|
a inequality equation is like this..
|x|>7
PLEASE HELP!!!
A calculator was used to perform a linear regression on the values in the table. The results are shown to the right of the table.
Image attached
Answer: C
explanation: a p e x
Explanation:
Start with the template they give, which is y = ax+b. From here, replace 'a' with -2.9 and b with 13.5 to get the answer y = -2.9x + 13.5
The r and r^2 values aren't used to form the regression line. Instead, they are ways to see how good a fit we have. Since r is fairly close to -1, this means we have a really strong negative correlation. All of the points are close or around the same straight line with a negative slope (that slope being -2.9).
What is 651 minus -13? Please with explanation.
Answer:
664
Step-by-step explanation:
651 - - 13
Negative times negative is positive.
651 + 13
Add.
664
Answer:
664
Step-by-step explanation:
651 - (-13)
Do the keep , change , change method
So , it will be :
651 + 13 = 664
Hope this helps and plsss plss amrl as brianliest and THNXX :)
Please help.. I'm really confused tbh
X axis is the horizontal axis and y is the vertical.
On a graph, quandrant 1 is the upper right side which requires both x and y to be positive.
Quadrant 2 is upper left, which is negative x and positive y.
Quandrant 3 is lower left, which is negative x and y.
Quadrant 4 is lower right, which is positive x and negative y.
X< 0 is negative and y > 0 is positive.
This matches quadrant 2
The answer is B.
4 1/3 b+b=6b–10.4 efvnabvkjaebv
Answer: The value of b= 15.6
Step-by-step explanation:
The given equation: [tex]4\dfrac{1}{3}b+b=6b-10.4[/tex]
To find : Value of b.
Since, we can write [tex]4\dfrac{1}{3}=\dfrac{13}{3}[/tex]
So, the given equation becomes [tex]\dfrac{13}{3}b+b=6b-10.4[/tex]
[tex]\Rightarrow\dfrac{13b+3b}{3}=6b-10.4\Rightarrow\dfrac{16b}{3}=6b-10.4[/tex]
Subtract 6b from both sides , we get
[tex]\Rightarrow\dfrac{16b}{3}=6b-10.4\\\\\Rightarrow\dfrac{16b-18b}{3}=-10.4\\\\\Rightarrow\dfrac{-2b}{3}=-10.4\\\\\Rightarrow b=-10.4\times\dfrac{-3}{2}\\\\\Rightarrow\ b= 15.6[/tex]
hence, the value of b= 15.6
Sarah serves at a restaurant and makes 20% of what she sells as tips. Her base salary is $10.20an hour. Each hour she sells an average of $60 of food and drinks. She also makes time and a half when she works over 8 hours during a single shift. Her work week contains three 10-hour shifts, one 5-hour shift, and one 11-hour shift. Using the same income deductions as stated in the previous question, what is Sarah’s annual gross income and annual net income.
Sara works 46 hours per week
9 hours are overtime and 37 hours are regular time
pay rate at time and a half: 10.20∗1.5=15.30
regular hours plus overtime pay
37∗10.20=377.40
9∗15.30=137.70
Income due to tips
Total hours worked∗60per hour∗20%
46∗60∗.20=552
Weekly Income=Hourly income + tips
Weekly Income=377.40+137.70+552.00
Weekly Income=1067.10
Annual income=Weekly income∗52
Annual income=55489.20
Juan uses 0.1 pound of flour to make a batch of cookies. Exactly how many batches of cookies can he make with 3.75 pounds of flour?
Answer:
37.5
Step-by-step explanation:
0.1 pound for one batch of cookies
3.75 pound for x batches of cookies
3.75/0.1=x
he can make 37.5 batches of cookies
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP(25 points)
Answer: I hope it helps :)
x=6 , y=6√3x =23√3 , y=23u =12 , v= 6a =18√2 , b =18x = 13 , y= 13Step-by-step explanation:
1.
[tex]Hypotenuse =x\\Opposite =y \\Adjacent =6\\\alpha = 6\\Let's\: find\: the \:hypotenuse\: first\\Using SOHCAHTOA\\Cos \alpha = \frac{adj}{hyp} \\Cos 60 = \frac{6}{x} \\\frac{1}{2} =\frac{6}{x} \\Cross\:Multiply\\x = 12\\Let's\: find\: y\\Hyp^2=opp^2+adj^2\\12^2=y^2+6^2\\144=y^2+36\\144-36=y^2\\108=y^2\\\sqrt{108} =\sqrt{y^2} \\y=6\sqrt{3}[/tex]
2.
[tex]Opposite =x\\Hypotenuse = 46\\Adjacent =y \\\alpha =60\\Using \: SOHCAHTOA\\Sin \alpha =\frac{opp}{adj} \\Sin 60=\frac{x}{46}\\\\\frac{\sqrt{3} }{2} =\frac{x}{46} \\2x=46\sqrt{3} \\x = \frac{46\sqrt{3} }{2} \\x =23\sqrt{3} \\\\Hyp^2=opp^2+adj^2\\46^2=(23\sqrt{3} )^2+y^2\\2116=1587+y^2\\2116-1587=y^2\\529=y^2\\\sqrt{529} =\sqrt{y^2} \\y = 23[/tex]
3.
[tex]Hypotenuse = u\\Opposite =6\sqrt{3} \\Adjacent = v\\\alpha =60\\Sin\: 60 = \frac{6\sqrt{3} }{u} \\\frac{\sqrt{3} }{2} =\frac{6\sqrt{3} }{u} \\12\sqrt{3} =u\sqrt{3} \\\\\frac{12\sqrt{3} }{\sqrt{3} } =\frac{u\sqrt{3} }{\sqrt{3} } \\u = 12\\Hyp^2=opp^2+adj^2\\12^2= (6\sqrt{3} )^2+v^2\\144=108+v^2\\144-108=v^2\\36 = v^2\\\sqrt{36} =\sqrt{v^2} \\\\v =6[/tex]
4.
[tex]Hypotenuse = a\\Opposite =18 \\Adjacent = b\\\alpha =45\\Tan \alpha = opp/adj\\Tan \:45 =18/b\\1=\frac{18}{b}\\ b = 18\\\\Hyp^2=Opp^2+Adj^2\\a^2 = 18^2+18^2\\a^2=324+324\\a^2=648\\\sqrt{hyp^2} =\sqrt{648}\\ \\a =18\sqrt{2}[/tex]
5.
[tex]Hypotenuse = 13\sqrt{2}\\ Opposite =x\\Adjacent = y\\\alpha =45\\Sin\:\alpha = opp/hyp\\Sin 45=x/13\sqrt{2}\\ \\\frac{\sqrt{2} }{2} =\frac{x}{13\sqrt{2} } \\2x=26\\2x/2=26/2\\\\x = 13\\\\Hyp^2=opp^2+adj^2\\(13\sqrt{2})^2=13^2+y^2\\ 338=169+y^2\\338-169=y^2\\169=y^2\\\sqrt{169} =\sqrt{y^2} \\13 = y[/tex]
Solve the equation using the distributive property and properties of equality. One-half (x + 6) = 18 What is the value of x? 6 7 and one-half 14 and one-half 30
Answer:
The value of x is 30.
We have to find the value of x in the given equation.
Using distributive property
We have,
[tex]1/2(x+6)=18\\a.(b+c)=a.b+a.c\\1/2(x+3)=18\\1/2x=15\\x=3[/tex]
other are also solve by this methode;)
The required solution of the expression [tex]1/2(x+6) = 18[/tex] is 30.
To solve the equation using the distributive property and properties of equality. One-half (x + 6) = 18 and value of x to be determined.
The equation is the well-organized link of the variables of two expressions that contain equal between them.
distributive properties are used to evaluate the math problem easily by distributing numbers to the numbers present in parenthesis. eg, if we apply the distributive property of multiplication to solve the expression
a( b + c ) = a.b + a.c
[tex]1/2(x+6) = 18[/tex]
Using distributive property a( b + c ) = a.b + a.c
[tex]1/2.x+1/2*6 = 18\\1/2x+3=18\\1/2x=18-3\\1/2x=15\\x=2*15\\x=30\\[/tex]
Thus, The required solution of the expression [tex]1/2(x+6) = 18[/tex] is 30.
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What is the translation from quadrilateral EFGH to
quadrilateral E'F’G’H
Answer:
The translation from quadrilateral EFGH to quadrilateral E'F'G'H' is [tex]T_{(2, -4)}[/tex], which is two units to the right (x direction) and 4 units down (negative y direction)
Step-by-step explanation:
The coordinates of quadrilateral EFGH are;
Point E has coordinates (-1, 1)
Point F has coordinates (0, 4)
Point G has coordinates (3, 1)
Point H has coordinates (3, 0)
The coordinates of the translation are;
Point E' has coordinates (0, -3)
Point F' has coordinates (1, 0)
Point G' has coordinates (4, -3)
Point H' has coordinates (4, -4)
The change in the y-coordinate values (y values) are;
From point E to point E', we have;
(-3 - 1) = -4 which is four units down
The change in the x-coordinate values (x values) are;
From point E to point E', we have;
(0 - (-1)) = 2 which is two units to the right
The total change in translation is [tex]T_{(2, -4)}[/tex].
What is the least number of colors you need to correctly color in the sections of the pictures so that no two touching sections are the same color?
Answer:
2
Step-by-step explanation:
Polygons on either side of a common edge need to be colored differently, so 2 colors are needed, as a minimum. Polygons of the same shape do not share an edge, so all can be colored the same color.
can someone please answer this question as a simplified fraction.
Answer:
33/2
Step-by-step explanation:
6 * 11/4 = 66/4 = 33/2
Please help! I need help with this question!
Explanation:
The vertical angles at C are congruent with each other, so we have the necessary conditions to invoke the SAS congruence postulate:
∆BCA ≅ ∆ECD
BA ≅ ED by CPCTC (corresponding parts of congruent triangles are congruent)
ASAP! I need help, and please do not send nonsense answers. BRAINLIEST will be given to the person who gets it correct with full solutions.
Answer:
C. all whole numbers
Step-by-step explanation:
Well Roberts can’t have a negative income and due to the number of violins being whole numbers, it is impossible to have 2.273 violins.
Hence, the annual income can only be whole numbers
Answer:
c
Step-by-step explanation:
What is the length of leg y of the right triangle?
84
85
O1
09
O 13
O 26
Answer:
[tex] \boxed{\sf Length \ of \ leg \ y = 13} [/tex]
Step-by-step explanation:
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.
[tex] \therefore \\ \sf \implies {84}^{2} + {y}^{2} = {85}^{2} \\ \\ \sf {84}^{2} = 7056 : \\ \sf \implies 7056 + {y}^{2} = {85}^{2} \\ \\ \sf {85}^{2} = 7225 : \\ \sf \implies 7056 + {y}^{2} = 7225 \\ \\ \sf Substract \: 7056 \: from \: both \: sides : \\ \sf \implies (7056 - 7056) + {y}^{2} = 7225 - 7056 \\ \\ \sf 7056 - 7056 = 0 : \\ \sf \implies {y}^{2} = 7225 - 7056 \\ \\ \sf 7225 - 7056 = 169 : \\ \sf \implies {y}^{2} = 169 \\ \\ \sf 169 = {13}^{2} : \\ \sf \implies {y}^{2} = {13}^{2} \\ \\ \sf \implies y = \sqrt{ {13}^{2} } \\ \\ \sf \implies y = {13}^{ \cancel{2} \times \frac{1}{ \cancel{2}} } \\ \\ \sf \implies y = 13 [/tex]
So,
Length of leg y of the right triangle = 13
what is the slope of a line parallel to the line whose equation is 3x-3y=-45
Answer:
The slope is 1Step-by-step explanation:
To find the slope first write the equation in the form
y = mx + c
where m is the slope
c is the y intercept
3x - 3y = -45
3y = 3x + 45
Divide both sides by 3
y = 3/3x + 45/3
y = x + 15
From the equation the slope = 1
Parallel lines have equal slope
So
The line parallel to the above line is also
1
Hope this helps you
Three years after a company was founded, its assets were $11,283,500. Ten years after being founded, its assets had grown to $21,794,600. During that period of time, at what rate did the company's assets grow per year?
Answer:
$1,051,110Step-by-step explanation:
Given
Step one:
Company's initial asset value = $11,283,500
Company's final asset value = $21,794,600
Step two
we can calculate the company's asset appreciation after 10 years as
$21,794,600- $11,283,500= $10,511,100
Step three
Hence, the growth rate of the company's asset value per year can be expressed as = $10,511,100/10= $1,051,110
For water to be a liquid, its temperature must be within 50 Kelvin of 323 Kelvin. Which equation can be used to determine the minimum and maximum temperatures between which water is a liquid? |323 – 50| = x |323 + 50| = x |x – 323| = 50 |x + 323| = 50
Answer:
Mark as BRAINLIEST plz
|x-323|<50: answer
Step-by-step explanation :
For water to be a liquid, the temperature must be within 50 Kelvin of 323 K.
So, the range of the temperature of water will lie between 50 kelvin more than 323 kelvin and 50 kelvin less than 323.
The equation that can be used to determine the maximum temperature at which water is a liquid can be given by : x < 323 + 50
The equation that can be used to determine the minimum temperature at which water is a liquid can be given by : x > 323 - 50
So the resultant equation can be written as :
|x-323|<50
The solution of inequality equation is | x - 323 | < 50
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the temperature of the water be = x Kelvin
Now , the equation will be
For water to be in the liquid state, the temperature must be within 50 kelvin (K) of 323 K
So , the value of the temperature of water will lie between 50 kelvin more than 323 kelvin and 50 kelvin less than 323
Substituting the values in the inequality equation , we get
For maximum temperature ,
x should be 50 more than 323 and
For minimum temperature ,
x should be 50 less than 323
So ,
The inequality relation is
x > 50 + 323 be equation (1)
x < 323 - 50 be equation (2)
So , the modulus function is expressed as
It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.
Therefore , the value is | x - 323 | < 50
Hence , The solution of inequality equation is | x - 323 | < 50
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A group of hikers buy 8 bags of trail mix. Each bag contains 3 1/2 cups of trail mix. The trail mix is shared between evenly between 12 hikers. How many cups of trail mix do each hiker receive?
Answer:
The hikers each receive 2 1/3 cups of trail mix.
1. Multiply 8 by 3 1/4 to get how much cups of trail mix they have in total which will come out as 28.
2. Then divide the 28 cups by the 12 hikers, and you will get 2 1/3 as your answer.
Which expression is equivalent to -80
Answer:
what expressions?
Step-by-step explanation:
changing fraction to percentage
Answer:
Hello There!
`~~~~~~~~~~~~~~~~~~`
You added no fraction so i thought you wanted the definition
Convert Fractions to Percents. Divide the top of the fraction by the bottom, multiply by 100 and add a "%" sign.
Hope this helped you. Brainliest wouldbe nice!