Answers
Answer:
x = 6
Step-by-step explanation:
The tangent- tangent angle WVU is half the difference of the measure of the intercepted arcs. , that is
5x + 17 = [tex]\frac{1}{2}[/tex] (37x + 5 - (23x - 5) )
5x + 17 = [tex]\frac{1}{2}[/tex] (37x + 5 - 23x + 5)
5x + 17 = [tex]\frac{1}{2}[/tex] (14x + 10) ← multiply both sides by 2 to clear the fraction )
10x + 34 = 14x + 10 ( subtract 14x from both sides )
- 4x + 34 = 10 ( subtract 34 from both sides )
- 4x = - 24 ( divide both sides by - 4 )
x = 6
Related Questions
The volume of this cube is 64 cubic feet. What is the value of a?
Answers
Answer:
a = 4 feet
Step-by-step explanation:
Since it's a cube, we know that each value will be equal. Because of this, you can cube root the cube's volume to find a.
[tex]\sqrt[3]{64}=4[/tex]
Therefore, a = 4 feet.
Answer:
4
Step-by-step explanation:
To find the area of a cube, we have to multiply the width, height, and length, which, since they are all the same value, would be a side multiplied by itself 3 times(cubed). So, the area of this cube in terms of a(side) is a*a*a or a^3. The area is given to be 64, so we can write:
a^3 = 64
With the equation, we can realize 4*4*4 is 64, meaning a is 4.
Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x)= 4x + 2 The function g of x going through 0, negative 2 and 1, 3 (1 point) The function f(x) has a larger slope. The function g(x) has a larger slope. They both have the same slope. The relationship between slopes cannot be determined.
Answers
Answer:
g(x) has the larger slope.
Step-by-step explanation:
f(x) = 4x + 2
- so its slope = 4. ( from general form y = mx + c where m = slope).
The slope of g(x) = (3 - (-2) / (1 - 0)
= 5.
Write the following integers along the maze so they are
increasing from start to finish. The shaded box in the maze will
have the answer to the question.
5, -14, -39, -3, 61, -60, -23, -72, -48, -11, 100, -45, 10,
-57, -1, -29, -64, -37, 0, -65, 74, 98, -28, -7,-63, -49,
--21, -54, 27, 53,-9, -32, -16,35, -30, -18, -52, 86, -46, 42,
-56, -41, -22, -43, 19
START
Answers
Find m<DCV and m<VBD
Answers
Answer:
∠ DCV = ∠ VBD = 50°
Step-by-step explanation:
The inscribed angles DCV and VBD are half the measure of their intercepted arcs, that is
∠ DCV = [tex]\frac{1}{2}[/tex] DV = [tex]\frac{1}{2}[/tex] × 100° = 50°
∠ VBD = [tex]\frac{1}{2}[/tex] DV = [tex]\frac{1}{2}[/tex] × 100° = 50°
(x^2+1)(x-1)=0 help me pls
Answers
Answer:
x = ±i , x=1
Step-by-step explanation:
(x^2+1)(x-1)=0
Using the zero product property
x^2 +1 = 0 x-1= 0
x^2 = -1 x=1
Taking the square root of the equation on the left
sqrt(x^2) = sqrt(-1)
x = ±i where i is the imaginary number
We still have x=1 from the equation on the right
If g(x) = 2(x − 4), find the value of x if g(x) = 20
Answers
Answer:
x=14
Step-by-step explanation:
g(x) = 2(x − 4)
Let g(x) = 20
20 = 2(x − 4)
Divide each side by 2
20/2 = 2(x-4)/2
10 = x-4
Add 4 to each side
10+4 = x-4+4
14 =x
according to the rational root theorem which of the following are possible roots of the polynomial function below? F(x)=6x^3-7x^2+2x+8
Answers
Answer:
Hello,
Step-by-step explanation:
all potential roots are of the form a/b where a is a divisor of 8
and b is a divisor of 6 ( in Z)
So A,D,E,F may be roots
but B and C not.
Someone help me on this, thats my illustration for it its a lil long
Answers
The uppercase letters are the angles, while the lowercase letters are the sides. We have side 'a' opposite angle A, side b opposite angle B, side c opposite angle C.
We have this given info:
A = 25a = 13.2b = 25.5Let's use the law of sines to find angle B
sin(B)/b = sin(A)/a
sin(B)/25.5 = sin(25)/13.2
sin(B) = 25.5*sin(25)/13.2
sin(B) = 0.81642164
B = arcsin(0.81642164) or B = 180 - arcsin(0.81642164)
B = 54.72817392 or B = 180 - 54.72817392
B = 54.72817392 or B = 125.27182608
When rounded to the nearest whole degree, we get B = 55 or B = 125.
However, I'll use the slightly more accurate values of B for the next two sections.
---------------------------------------
Let's consider the case that B = 54.72817392
This would have to mean
A+B+C = 180
C = 180-A-B
C = 180-25-54.72817392
C = 100.27182608 which rounds to C = 100
Through the law of sines we can say
c/sin(C) = a/sin(A)
c = sin(C)*a/sin(A)
c = sin(100.2718 2608)*13.2/sin(25)
c = 30.73327084 which rounds to c = 30.7
One solution is
A = 25, B = 55, C = 100
a = 13.2, b = 25.5, c = 30.7
As you can probably guess, the phrasing "solve the triangle" means find all sides and angle measures.
---------------------------------------
Now we'll consider the case that B = 125.27182608
We follow the same steps as the previous section
A+B+C = 180
C = 180-A-B
C = 180-25-125.27182608
C = 29.72817392 which rounds to C = 30
and
c/sin(C) = a/sin(A)
c = sin(C)*a/sin(A)
c = sin(29.72817392)*13.2/sin(25)
c = 15.48842618 which rounds to c = 15.5
The other solution is
A = 25, B = 125, C = 30
a = 13.2, b = 25.5, c = 15.5
Check out the diagrams below.
9/7 = please answer me
Answers
Answer:
[tex] \frac{9}{7} = 1.2857 = 1 \frac{2}{7} [/tex]
Answer:
Step-by-step explanation:
[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol {\frac{9}{7}=1\frac{2}{7} \ \ or \ \ 1.(28571)}[/tex]
PLS HELP WILL MAKE FIRST RIGHT ANSWER GETS BRAINLIEST
Answers
26. A
27. A
Explanation:
The distributive property can be applied to which expression to factor 12x3 – 9x2 + 4x – 3?
3(4x3– 1) – (9x2 + 4x)
4x(3x2 + 1) – 3(3x2 – 1)
3x(4x – 3) – (3+ 4x)
3x2(4x – 3) + 1(4x – 3)
IM ON EDGE
Answers
Answer:
12x^3-9x^2+4x-3
3(4x^3-1)-(9x^2+4x)
therefore option A is right
thank you, and mark it as brainliest if u find it useful
Which of the following planets has the strongest winds in the solar system?
O Jupiter
O Mars
O Neptune
O Venus
Answers
Answer: The answer is Neptune ^-^
Step-by-step explanation:
Got it correct on the test :]
Find the measure of the indicated angle to the nearest degree.
Answers
Answer:
Step-by-step explanation:
Adjacent to the undetermined angle is 6, and the hypotenuse has been given. We can conclude, after looking at our SOHCAHTOA, that we will be using cosine(CAH) to solve this problem.
Let the unspecified angle be [tex]\theta\\[/tex] (This sign is called theta, which is just a sign for angle)
Lets start!
cos[tex]\theta\\[/tex] = adj/hyp
cos[tex]\theta\\[/tex] = 6/13
[tex]\theta\\[/tex] = [tex]cos^{-1}[/tex](6/13)
[tex]\theta\\[/tex] = 62.5
[tex]\theta\\[/tex] = 63
Hope that helped!
Which number is a solution of the inequality?
3x - 15 ≥ 3
a.) -9/11
b.)6/11
c.)6
d.)5
Answers
Answer:
6
Step-by-step explanation:
[tex]3x - 15 \geqslant 3[/tex]
[tex]3x \geqslant 3 + 15[/tex]
[tex]x \geqslant \frac{18}{3} [/tex]
[tex]x \geqslant 6[/tex]
Write the equation of the line that passes through the points (−7,5) and (-7,-8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answers
Answer:
x = -7
Step-by-step explanation:
First we find the slope using
m = ( y2-y1)/(x2-x1)
= ( -8 - 5)/( -7 - -7)
= (-8-5)/(-7+7)
= -13/0
This means the slope is undefined and the line is vertical
Vertical lines are in the form
x= constant and the constant is the x value of the points
x = -7
Kristina wants to buy a flute that costs 240 . She has saved 20 each week for 3 weeks . How many more weeks does Kristina need to save money if she continues to save 20 each week
Answers
9 more weeks
Explanation:
She already saved 20(3)=60
240=60+20(x)
X=9
She needs 9 more weeks
If the lengths of the legs of a right triangle are 4 and 8, what is the length of the hypotenuse?
PLEASE HELP
Answers
Answer:
[tex]4\sqrt{5}[/tex]
Step-by-step explanation:
In order to solve this problem, we can use the pythagorean theorem, which is
a^2 + b^2 = c^2, where and b are the legs of a right triangle and c is the hypotenuse. Since we are given the leg lengths, we can substitute them in. So, where a is we can put in a 4 and where b is we can put in an 8:
a^2 + b^2 = c^2
(4)^2 + (8)^2 = c^2
Now, we can simplify and solve for c:
16 + 64 = c^2
80 = c^2
c = [tex]\sqrt{80}[/tex]
Our answer is not in simplified radical form because the number under is divisible by a perfect square, 16. We can divide the inside, 80, by 16, and add a 4 on the outside, as it is the square root of 16:
c = [tex]4\sqrt{5}[/tex]
The length of the hypotenuse in the given right triangle, with legs measuring 4 and 8, is approximately 8.94.
To find the length of the hypotenuse in a right triangle, we can use the Pythagorean theorem. According to the theorem, in a right triangle, the square of the hypotenuse's length is equal to the sum of the squares of the lengths of the other two sides.
In this case, let's label the lengths of the legs as 'a' and 'b', with 'a' being 4 and 'b' being 8. The hypotenuse, which we need to find, can be represented as 'c'.
Applying the Pythagorean theorem, we have:
[tex]a^2 + b^2 = c^2[/tex]
Substituting the given values:
[tex]4^2 + 8^2 = c^2[/tex]
16 + 64 = [tex]c^2[/tex]
80 = [tex]c^2[/tex]
To find the length of the hypotenuse 'c', we need to take the square root of both sides:
√80 = √ [tex]c^2[/tex]
√80 = c
The square root of 80 is approximately 8.94.
Therefore, the length of the hypotenuse in the given right triangle, with legs measuring 4 and 8, is approximately 8.94.
To know more about hypotenuse , here
https://brainly.com/question/2217700
#SPJ2
If P =
1 2
then, prove that P2 - 2P - 5 = 0, 1 = 0, where I and 0 are unit
3 1
matrix and null matrix of order 2 x 2 respectively.
Answers
Answer:
thanks for free ponits you dint gave it free but I theft I'm sorry
which inequality is represented on the number line shown?
Answers
Answer:
A
Step-by-step explanation:
b/ of shaded region can make to closed inequality & it's not closed to make open inequality.
8.52 The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches. Pediatricians regularly measure the heights of toddlers to determine whether there is a problem. There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.
Answers
Answer:
Heights of 29.5 and below could be a problem.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches.
This means that [tex]\mu = 32, \sigma = 1.5[/tex]
There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.
Heights at the 5th percentile and below. The 5th percentile is X when Z has a p-value of 0.05, so X when Z = -1.645. Thus
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.645 = \frac{X - 32}{1.5}[/tex]
[tex]X - 32 = -1.645*1.5[/tex]
[tex]X = 29.5[/tex]
Heights of 29.5 and below could be a problem.
Complete the table, and then use the drawing tools to create the graph representing the relationship between the amount of plant food remaining, f(x), and the number of days that have passed, x.
Answers
The complete table of the function is:
[tex]\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ f(x) & {72} & {60} & {48} & {36} & {24}& {12} & {0} \ \end{array}[/tex]
The equation missing from the question is:
[tex]y = 72 - 12x[/tex]
To complete the table, we simply calculate the y value for each x value;
When [tex]x = 0[/tex], [tex]y = 72 - 12 * 0 = 72[/tex]
When [tex]x = 1[/tex], [tex]y = 72 - 12 * 1 = 60[/tex]
When [tex]x = 2[/tex], [tex]y = 72 - 12 * 2 = 48[/tex]
When [tex]x = 3[/tex], [tex]y = 72 - 12 * 3 = 36[/tex]
When [tex]x = 4[/tex], [tex]y = 72 - 12 * 4 = 24[/tex]
When [tex]x = 5[/tex], [tex]y = 72 - 12 * 5 = 12[/tex]
When [tex]x = 6[/tex], [tex]y = 72 - 12 * 6 = 0[/tex]
So, the complete table is:
[tex]\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ f(x) & {72} & {60} & {48} & {36} & {24}& {12} & {0} \ \end{array}[/tex]
To create a graph of f(x), we simply type [tex]y = 72 - 12x[/tex] on a drawing tool and the graph will be generated.
See attachment for graph
Learn more about graphs at:
https://brainly.com/question/20106471
Answer:
Step-by-step explanation:
PLEASE HELP ASAP!!!!! The following graph shows a proportional relationship. What is the constant of proportionality between y and x in the graph?
Answers
Answer:
2/3
Step-by-step explanation:
The graph point is on (3,2)
plz help me to slove this
Answers
Answer:
50
Step-by-step explanation:
= 3^3 + (2 x 2 x 3) + 2^2 + ( 3 + 2)^5
= 3^3 + (12) + 2^2 + (3 + 2)^5
= 3^3 + 12 + 2^2 + (5)^5
= 9 + 12 + 2^2 + 5^5
= 9 + 12 + 4 + 5^5
= 9 + 12 + 4 + 25
= 50
PLEASE help me!!!
Amina has two bags.
In the first bag there are 3 red balls and 7 green balls.
In the second bag there are 5 red balls and 4
green balls.
Amina takes at random a ball from the first bag.
She then takes at random a ball from the second bag.
(a) Complete the probability tree diagram.
Answers
Answer:
Step-by-step explanation:
first
3/10 & 7/10
second
5/9 & 4/9
for f(x)= -4x + 5, find f(x) when x = -2.
Answers
Answer:
13
Step-by-step explanation:
f(x)= -4x + 5
Let x = -2
f(-2) = -4(-2) +5
= 8+5
= 13
Step-by-step explanation:
x = - 2
f ( x ) = - 4x + 5
f ( - 2 )
= - 4 ( - 2 ) + 5
= 8 + 5
= 13
A P E X fasted answer is getting 30 points please hurry.
suppose a normal distribution has a mean of 98 and a standard deviation of 6. what is p(x ≥ 92)
Answers
Answer:
Step-by-step explanation:
If the mean is 98 and standard deviation is 6, then 92 is one standard deviation to the left of the mean; that means that 34% + 34% + 13.5% + 2.35% + .15% of the data is included in this area. Add those up and you get, as a percentage, 84%.
Answer:
0.84
Step-by-step explanation:
yee its right
Hello! I have an algebra 1 dba tomorrow (flvs). I am just a little nervous and want to be a little more prepared. Does anybody know what questions I will be asked? Btw this is for algebra 1 module 4. Thank you :)
Answers
Answer:
Im not sure what is in the algebra 1 module 4 but for algebra 1 you should study how to graph equations, solve system of equations with substitution and elimination. those topics, at least for e, have been a little tricky
Step-by-step explanation:
Which shapes have the greatest area?
(Select all that apply.)
Answers
Answer:
the trapiezium
Step-by-step explanation:
It has a area of 4 which is the highest
Darryl has written 60 percent, or 12 pages, of his history report. Darryl wants to figure out how many total pages he needs to write. Darryl’s work is shown below.
Step 1: Write 60 percent as a ratio. StartFraction part Over whole EndFraction = StartFraction 60 Over 100 EndFraction
Answers
Answer:
total pages = 20
Step-by-step explanation:
60% of an unknown number is 12
Let the unknown number (total pages) be x.
60/100 of x = 12
60/100 * x = 12
3/5 x = 12
x = 12 * 5/3
x = 20
find the measure of one exterior angle for the following regular polygon
Answers
Answer:
36 degrees
Step-by-step explanation:
10 corners/sides.
the sum of all exterior angles in a polygon is always 360 degrees.
so, one exterior angle here is 360/10 = 36 degrees
