Answers
Answer:
C
Step-by-step explanation:
cos 30=12/x
[tex]x = 8 \sqrt{3} [/tex]
cos60=y/x
[tex]y =4 \sqrt{3} [/tex]
Answer:
x = [tex]8\sqrt{3}[/tex]
y = [tex]4\sqrt{3}[/tex]
Step-by-step explanation:
• tan 60° = 12/ y [tan θ = opposite/ adjacent]
y = 12/ tan 60°
y = [tex]4\sqrt{3}[/tex]
• x² = y² + 12² [Pythagoras's theorem]
x² = ( [tex]4\sqrt{3}[/tex] )² + 144
x = [tex]\sqrt{(4\sqrt{3})^{2} \space\ + \space\ 144}[/tex]
x = [tex]8\sqrt{3}[/tex]
Related Questions
the perimeter of a right angle triangle is 24 cm and its area is 24 cm square if the hypotenuse is 13 cm find the remaining sides
Answers
Answer:
let the remaining sides be X and Y
perimeter = X + Y + 13
24 = X + Y + 13
11 = X + Y ---(1).
Area = 1/2 * base * height
24 = 1/2 * X * Y
XY = 48.-----(2)
solving eq 1 and 2
X + Y = 11
XY = 48
Xy + y² = 11y
Xy = 48
y²= 11y - 48
y² -11y + 48 = 0
no real solution of this equation.
Answer:
Step-by-step explanation:
the triangle is NOT a 3–4–5 or multiple,
so it is not a right triangle or your data is wrong.
Identify the domain of the given function.
Answers
Answer:
choice C
Step-by-step explanation:
x could be any number except -1.
Cause for x=-1 the denominator becomes undefined.
21 added to a number is the same as 37
Answers
Answer:
Step-by-step explanation:
Hi, let me help you out.
First I'm going to turn the verbal phrase into an algebraic phrase...
21+n=37. here n is the unknown number
Next, I believe you need to find what n equals.
This can be done by subtracting 21 from both sides.
n=37-21
n=16
Thus the number we need is 16.
_________________
Hope I helped. Best wishes.
Find the slope of the line whose equation is 3x - 4y = 7.
Answers
Answer:
0.75
Step-by-step explanation:
slope is the coeffecient of x when the equation is in the order yb= mx + b
3x - 4y = 7
-4y = 7 - 3x
4y = 3x - 7
y = (3x - 7) / 4
y = 3x / 4 - 7 / 4
slope = 3/4
simplify the following polynomial expression. (5^4-9^3+7x-1)+(-8^4x^2-3x+2)-(-4x^3+5x-1)(2x-7)
Answers
The simplified expression is 5[tex]x^{4}[/tex] -37 x³ - 6x² +41x -6.
What is expression?An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)
Given:
(5[tex]x^{4}[/tex] - 9x³ + 7x -1) + ( -8[tex]x^{4}[/tex]+ 4x² - 3x + 2) - ( -4x³ + 5x -1) (2x - 7)
Now,
5[tex]x^{4}[/tex] - 9x³ + 7x -1 -8[tex]x^{4}[/tex]+ 4x² - 3x + 2 - ( -4x³ + 5x -1) (2x - 7)
=5[tex]x^{4}[/tex] - 9x³ + 7x -1 -8[tex]x^{4}[/tex]+ 4x² - 3x + 2-(-8[tex]x^{4}[/tex]+28x³ +10x² - 35x -2x +7
= 5[tex]x^{4}[/tex] - 9x³ + 7x -1 -8[tex]x^{4}[/tex]+ 4x² - 3x + 2 +8[tex]x^{4}[/tex]- 28x³ - 10x² + 35x + 2x - 7
= 5[tex]x^{4}[/tex] -37 x³ - 6x² +41x -6
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Oliver wants to buy apples and blueberries to make a fruit tart. Apples cost $3.50 per pound and blueberries cost $3.25 per pound. How many pounds of fruit does he buy if he buys 2 pounds of apples and 3 pounds of blueberries? How many pounds of fruit does he buy if he buys xx pounds of apples and y pounds of blueberries?
Total pounds, 2 pounds of apples and 3 pounds of blueberries:
Total pounds, xx pounds of apples and y pounds of blueberries:
Need answer quickly as possible!
Answers
The total pounds of fruits bought if he buys 2 pounds of apples and 3 pounds of blueberries is $16.75.
The total pounds of fruits bought if he buys x pounds of apples and y pounds of blueberries is $3.50x + $3.25y.
What is the total pounds of fruits bought?The total pounds of fruits bought = (pounds of apples x cost per pound) + (pounds of blueberries x cost per pound)
($3.50 x 2) + (3.25 x 3)
$ 7 + 9.75 = $16.75
($3.50 x x) + (3.25 x y)
$3.50x + $3.25y
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What is the measure of angle CED?
There are two triangles labeled ABC and DCE with a common vertex C. In triangle ABC, angle BAC is labeled as y, and angle ABC is labeled as 65 degrees. In triangle DCE, angle CDE is labeled as 65 degrees
y over 2, because Triangle ABC is congruent to triangle DCE
y, because Triangle ABC is similar to triangle EDC
y + 65 degrees, because Triangle ABC is similar to triangle DCE
115 degrees − y, because Triangle ABC is congruent to triangle DCE
Answers
The measure of angle CED is y. The correct option is the second option- y, because Triangle ABC is similar to triangle EDC
Similar trianglesFrom the question, we are to determine the measure of angle CED
In the diagram, we can observe that ΔABC is similar to ΔEDC
This is by the Angle-Angle similarity theorem
The theorem states that
If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other
Thus,
Angle CAB = Angle CED
In the diagram,
Angle CAB = y
∴ Angle CED = y
Hence, the measure of angle CED is y. The correct option is the second option- y, because Triangle ABC is similar to triangle EDC
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Determine whether each set of ordered pairs shown below is from a geometric sequence or from an arithmetic sequence.
{(-3, 7.5) , (-2, 10) , (-1, 12.5)}
Write the equation of the graph for the set of ordered pairs.
{(1, 150) , (2, 112.5) , (3, 84.375)}
Write the equation of the graph for the set of ordered pairs.
Answers
]Which statements are true? Check all that apply.
The equation |–x – 4| = 8 will have two solutions.
The equation 3.4|0.5x – 42.1| = –20.6 will have one solution.
The equation StartAbsoluteValue StartFraction one-half EndFraction x minus StartFraction 3 Over 4 EndFraction EndAbsoluteValue equals 0. = 0 will have no solutions.
The equation |2x – 10| = –20 will have two solutions.
The equation |0.5x – 0.75| + 4.6 = 0.25 will have no solutions.
The equation StartAbsoluteValue StartFraction 1 Over 8 EndFraction x minus 1. EndAbsoluteValue equals 5. = 5 will have infinitely many solutions.
Answers
The correct answers are:
1. The equation |-x -4| = 8 will have two solutions. (True)
5. The equation |0.5x – 0.75| + 4.6 = 0.25 will have no solutions. (True)
What is Equation?
An equation is a mathematical statement with an 'equal to =' symbol between two expressions that have equal values.
1. The equation |-x -4| = 8 will have two solutions. (True)
|-x - 4| = 8
-x -4 = ±8
-x -4 = 8 and -x -4 = -8
-x = 8 + 4 and -x = -8 + 4
-x = 12 and -x = -4
x = -12 and x = 4
Therefore, it has two solutions x ∈ {-12, 4}
2. The equation 3.4|0.5x - 42.1| = -20.6 will have one solution. (False)
Since the right side of the equation has a negative value therefore, according to rules of absolute value equations, it has no solution.
3. The equation |1/2x - 3/4| = 0 will have no solutions. (False)
|(1/2)x - 3/4| = 0
(1/2)x - 3/4 = ±0
Since ±0 is the same
(1/2)x = 3/4
x = 2X3/4
x = 3/2
Therefore, it has one solution x = 3/2
4. The equation |2x – 10| = –20 will have two solutions. (False)
Since the right side of the equation has a negative value therefore, according to rules of absolute value equations, it has no solution.
5. The equation |0.5x – 0.75| + 4.6 = 0.25 will have no solutions. (True)
|0.5x – 0.75| + 4.6 = 0.25
|0.5x – 0.75| = 0.25 - 4.6
|0.5x – 0.75| = -4.35
Since the right side of the equation has a negative value therefore, according to rules of absolute value equations, it has no solution.
6. The equation |(1/8)x - 1| = 5 will have infinitely many solutions. (False)
|(1/8)x - 1| = 5
(1/8)x - 1 = ±5
(1/8)x - 1 = 5 and (1/8)x - 1 = -5
(1/8)x = 5 + 1 and (1/8)x = -5 + 1
(1/8)x = 6 and (1/8)x = -4
x = 6X8 and x = -4X8
x = 48 and x = -32
Thus, it has two solutions x ∈ {48, -32}
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Part b how do these functions differ from functions you have used in algebra in the past?
Answers
The functions differ from functions that I have used in algebra in the past as the functions can be combined and are more about rotation rather than where they move.
What is a function?It should be noted that a function simply means an equation where the x that is plugged into the equation will yield exactly on e y from the equation.
In this case, the functions differ from functions that I have used in algebra in the past as the functions can be combined and are more about rotation rather than where they move.
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What other areas of human or societal change have models that would fit an
exponential curve?
Answers
[tex]\large\bold{\underline{\underline{Answer:-}}}[/tex]
There are smooth exponential curves that control price performance, capacity, and bandwidth so it easy to predict the cost of something in the future. He said, "When people think about the future they think about it lineraly.
Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?
The direct distance from A to C is more than yards.
Answers
The direct distance form A to C is represented by the inequality
AC < 40 yards.
What is a Triangle ?A triangle is a polygon with three sides , three vertices and three angles.
It is given that
Distance form point A to B is 15 yards
Distance form point B to C is 25 yards.
Distance AC = ?
In a Triangle the sum of two sides is always greater than the third side.
Therefore
AC < 15 +25
AC < 40 yards.
Therefore the direct distance form A to C is represented by the inequality AC < 40 yards.
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x=y²-1
2x - y = 4
Which of the following equations could be the result of using substitution to solve the system?
2y²-y-5=0
2y2-y-6=0
2y2-2y-5=0
Answers
Answer:
B) 2y² - y - 6 = 0
Given following:
x = y² - 1 ___equation 12x - y = 4 ___equation 2Insert equation 1 into 2:
2(y² - 1) - y = 42y² - 2 - y = 42y² - y - 2 - 4 = 02y² - y - 6 = 0Put in second
2x-y=42(y²-1)-y=42y²-2-y=42y²-y-6=0Why is it just as likely that the cube will show an even number as an odd number?
Answers
Three are even 2, 4, 6 and three are odd 1, 3, 5
P(even) = 3/6
P(odd) = 3/6
So for a fair die an odd number is equally likely as an even number
If three standard six-sided die were rolled with the numbers showing on each recorded, how many equally likely outcomes would be in the sample space?
Answers
Answer:
216
Step-by-step explanation:
You are rolling three die three times
a die has six sides
to obtain the sample space
we would have to multiply 6 x 6 x 6
which could account for the three roles which would be equivalent to the sample space
6^3
N
32
NEXT QUESTION
C
Patty had four times as many quarters as nickels. She had $12.60 in all. How many nickels and how many quarters did
she have?
G
Which of the following equations could be used to solve the problem?
Answers
Answer:
See below
Step-by-step explanation:
q = quarters value = .25 q
n = nickels = 4q value = .05 (4q)
summed = 12.60
.25q + .05(4q) = 12.60 <====== can be used to solve the problem
.45q = 12.60
q = 28 quarters then nickels = 4q = 112
ها ( در محمود) و
Which expression is equivalent to
O
x²7 (3√7)
Answers
Step-by-step explanation:
please mark me as brainlest
Find the quotient.
2^3 ÷ 5^2
Answers
Answer:
0.32
Step-by-step explanation:
2^3 = 2*2*2 = 8
5^2 = 5*5 = 25
------------------------------
8/25 = 0.32
A culture started with 2,000 bacteria. After 2
hours, it grew to 2,400 bacteria. Predict how
many bacteria will be present after 10 hours.
Round your answer to the nearest whole
number.
P
Aekt
Answers
how many time did it in rose within the 2 hours?
The following data show the scores of some students in a competition:
12 points
21 points
29 points
17 points
24 points
23 points
28 points
Which box plot represents the data?
A box plot titled Scores of Participants and labeled Scores uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 21 to 28 on the number line. A line in the box is at 23 The whiskers end at 17 and 29.
A box plot titled Scores of Participants and labeled Scores uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 17 to 24 on the number line. A line in the box is at 23 The whiskers end at 12 and 28.
A box plot titled Scores of Participants and labeled Scores uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 17 to 28 on the number line. A line in the box is at 21 The whiskers end at 12 and 29.
A box plot titled Scores of Participants and labeled Scores uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 17 to 28 on the number line. A line in the box is at 23 The whiskers end at 12 and 29.
Answers
The plot represent the data A box plot titled Scores of Participants and labeled Scores uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35.
The box extends from 17 to 24 on the number line.
A line in the box is at 23 The whiskers end at 12 and 28.
What is box- plot?A box plot is a graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.
Given:
12 points
21 points
29 points
17 points
24 points
23 points
28 points
According to the given data,
A box plot titled Scores of Participants and labeled Scores uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35.
The box extends from 17 to 24 on the number line.
A line in the box is at 23 The whiskers end at 12 and 28.
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The function f(x) is shown in this graph.
The function g(x) = -6x + 3.
-5
Compare the slopes and y-intercepts.
Answers
DF=
Help me please:))
Answers
Answer:
[tex]\fbox {DF = 20}[/tex]
Step-by-step explanation:
Given :
ΔSDF ~ ΔRTY = 4 : 9 (Ratio of similitude)SF = RT - 2TY = RY + 9SD = 8Step 1 : Find RT
SD : RT = 4 : 98 : RT = 4 : 9RT = 18Step 2 : Find SF
SF = RT - 2SF = 18 - 2SF = 16Step 3 : Find RY
SF : RY = 4 : 916 : RY = 4 : 9RY = 36Step 4 : Find TY
TY = RY + 9TY = 36 + 9TY = 45Step 5 : Find DF
DF : TY = 4 : 9DF : 45 = 4 : 9DF = 20Answer:
DF = 20
Step-by-step explanation:
Triangle SDF has side lengths SD, DF, SF.
Triangle RTY has side lengths
RT = (9/4)SD
RY = (9/4)SF
TY = (9/4)DF
"SF is 2 less than RT" Given
SF = RT - 2
SF = (9/4)SD - 2
"SD = 8" Given
SF = (9/4)(8) - 2
SF = 16
"TY is 9 more than RY" Given
TY = RY + 9
(9/4)DF = (9/4)SF + 9
(9/4)DF = (9/4)(16) + 9
(9/4)DF = 45
DF = 45 × 4/9
DF = 20
1
A circle is defined by the equation given below.
x² + y²
2y -
What are the coordinates for the center of the circle and the length of the radius?
X
= 0
ig Algebr
OA. (1, 1), 2 units
OB. (-1,-1), 2 units
OC. (,1), 4 units
OD. (-1,-1), 4 units
Reset
Next
Answers
The coordinates for the center and length of the radius of this circle are equal to (½, 1), 2 units.
How to determine the coordinates?Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center.r is the radius of a circle.In order to determine the coordinates for the center and the length of the radius of this circle, we would use completing the square method:
x² + y² - x - 2y - 11/4 = 0
x² - x + ¼ + y² - 2y = 11/4 + ¼
(x - ½)² + y² - 2y + 1 = 12/4 + 1
(x - ½)² + (y - 1)² = 4
Comparing with the standard form, we have:
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Complete Question:
A circle is defined by the equation given below.
x^2 + y^2 − x − 2y − 11/4 = 0
What are the coordinates for the center of the circle and the length of the radius?
How do I do this? Subtract the expressions (3x+3)-(4x+6)
Answers
Answer:
-x - 3
Step-by-step explanation:
1) Distribute
(3x+3)-(4x+6)
3x + 3 - 4x - 6
2) Subtract the numbers
3x + 3 - 4x - 6
3x - 3 - 4x
3) Combine like terms
3x - 3 - 4x
-x - 3
What is the probability that a random chosen male voter is a registered Democrat? Round your answer to the nearest tenth of a percent.
Answers
Expand & simplify 6 ( p + 6 ) + 2 ( p + 4 )
Answers
= 8p + 44
Solution: 8p+44
Detailed explanation:
First we can "expand" by multiplying 6 times the parentheses and then 2 times the other set of parentheses.
[tex]--\mapsto\boldsymbol{6(p+6)+2(p+4)}\\\\---\mapsto\boldsymbol{6p+36+2p+8}[/tex]
To make life easier let's just put the p's next to each other.
[tex]--\mapsto\boldsymbol{6p+2p+36+8}[/tex]
Now let's add the p's
[tex]---\mapsto\boldsymbol{8p+44}[/tex]
Voila! There's our answer!
Cheers! ^-^__________________
Hope I helped! Best wishes.
Reach far. Aim high. Dream big.
____________________
⚜Can somebody help me and tell me if i’m right or not because I don’t know how to do this
Find the value of y.
Answers
Answer:
y = 5
Step-by-step explanation:
Since the lines are parallel, same side interior angles are supplementary.
That allows us to solve for x.
7x + 17 + 5x - 5 = 180
12x = 168
x = 14
The angles 23yand 5x - 5 are supplementary, so the sum of the measures equals 180°.
23y + 5x - 5 = 180
We already know that x = 14.
23y + 5(14) - 5 = 180
23y = 115
y = 5
he height of a rocket a given number of seconds after it is released is modeled by h (t) = negative 16 t squared + 32 t + 10. What does t represent?
the number of seconds after the rocket is released
the initial height of the rocket
the initial velocity of the rocket
the height of the rocket after t seconds
Answers
Answer: the number of seconds after the rocket is released
if cospheta =3/5 and pheta is located in the fourth quadrant, then sin2pheta=_____
-8/25
24/5
-24/25
8/25
Answers
Step-by-step explanation:
if cospheta =3/5 and pheta is located in the fourth quadrant, then sin2pheta=_____
-8/25
24/5
-24/25
8/25
The correct answer for this question is 8/25
K'L'M'N' is a dilation image of KLMN. Which is the correct description of the dilation?
Answers
Answer:
d
Step-by-step explanation: