Answer:
x = 12
Step-by-step explanation:
Recall: the secant-tangent rule states that when a secant and a tangent meet at an external point of a circle, the product of the secant and the external segment is equal to the square of the tangent segment
(x)(3) = 6² (secant-tangent rule)
3x = 36
Divide both sides by 3
3x/3 = 36/3
x = 12
Rita made $289 for 17 hours of work. At the same rate, how much would she make for 13 hours of work?
Answer:$221
Step-by-step explanation:
Divide 289 by 17
Get 17, then multiply by 13.
Answer:
$221
Step-by-step explanation:
Use unit rates. First find out how much money Rita makes per hour. To do this, simply divide 289/17=17. Rita makes $17 per hour. We want to find out how much money she makes in 13 hours of work. So, we just need to multiply 17$*13=$221
Hope this helps!
6. The quotient of 5 and a number y, minus 10.
Answer:
5/y - 10
Step-by-step explanation:
I doubt the completeness of your question, however
the answer is
5/y - 10
Determine whether the given description corresponds to an observational study or an experiment.
A quality control specialist compares the output from a machine with a new lubricant to the output of machines with the old lubricant.
Answer:Good luck hopefully somebody answer your question
Step-by-step explanation:
HELP PLZZZ !!
3. Solve the equation by factoring.
C^2 - 4c = 0
Answer:
0,4
Step-by-step explanation:
See image below:)
(8+3)(-1) Distributive Property
Answer:
-11
Step-by-step explanation:
(8+3)(-1) Add 8 + 3
(11)(-1) Multiply
-11 Final Answer
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{(8 + 3)(-1)}\\\\\large\textsf{(8 + 3) = \bf 11}\\\\\large\textsf{11(-1)}\\\\\large\textsf{= \bf -11}\\\\\boxed{\boxed{\large\textsf{\large\textsf{Answer: \huge \bf -11}}}}\huge\checkmark\\\\\\\\\\\large\text{Good luck on your assignment and enjoy your day!}\\\\\\\\\\\\\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]
In ΔXYZ, ∠Y is a right angle and sin X = 12/25 Find sec X, tan X, and cos Z in fraction and in decimal form. Round to the nearest hundredth, if necessary.
Answer:
In ΔXYZ
∠Y is a right angle ∠X and ∠Z are complementary anglessin X = 12/25-------------
sec X = 1/cos X = [tex]1/\sqrt{1- sin^2X} = 1/\sqrt{1 - 12^2/25^2} = 1/\sqrt{481}/25 = 25/\sqrt{481}[/tex]tan X = sin X / cos X = [tex]12/{25 : {\sqrt{481} }/25 = 12/{\sqrt{481} }[/tex]cos Z = sin X = 12/25Which of the following verifies that AABC is similar to ADEF?
A. AA postulate
B. SAS theorem
C. Similarity cannot be determined.
D. SSS theorem
Answer:
B. SAS Theorem
Step-by-step explanation:
SAS means that there are 2 corresponding sides with an angle in between. This condition is satisfied in this case because AC corresponds to DF (18/2 = 9), angle c and angle f are congruent, and BC corresponds to EF
By ''SAS theorem'' triangle ABC is similar to DEF.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
To find the theorem which can be used to verify triangle ABC is similar to DEF.
Now,, By figure,
There are one angle are common.
And, Ratio of two sides are equal.
Hence, By ''SAS theorem'' triangle ABC is similar to DEF.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ7
Simplify (5√2 - 1)^2 A. 10√2 +51 B.-10√2 + 51 C. 41√2
Answer:
The answer is B. [tex]-10 \sqrt{2}+51[/tex]
Step-by-step explanation:
...
The equation for line r can be written as y=-1/4x+3. Line s which is parallel to lone r includes the point (-4,3). What is the equation of line s?
Answer:
[tex]y=-\frac{1}{4}x+2[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form:[tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Parallel lines always have the same slope1) Determine the slope of line S using line R (m)
[tex]y=-\frac{1}{4} x+3[/tex]
We can identify clearly that the slope of the line is [tex]-\frac{1}{4}[/tex], as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be [tex]-\frac{1}{4}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-\frac{1}{4}x+b[/tex]
2) Determine the y-intercept of line S (b)
[tex]y=-\frac{1}{4}x+b[/tex]
Plug in the given point (-4,3) and solve for b
[tex]3=-\frac{1}{4}(-4)+b\\3=1+b[/tex]
Subtract 1 from both sides to isolate b
[tex]3-1=1+b-1\\2=b[/tex]
Therefore, the y-intercept is 2. Plug this back into [tex]y=-\frac{1}{4}x+b[/tex]:
[tex]y=-\frac{1}{4}x+2[/tex]
I hope this helps!
What is the value of 3 ^ -3
Answer:
[tex]\frac{1}{27}[/tex]
Step-by-step explanation:
[tex]3^{-3}\\=\frac{1}{3}^{3}\\=\frac{1}{27}[/tex]
plz i need help asap ill give brainliest Find the area of the shaded regions:
Green part is 56.548667772
Answer:
I think it's 19.72
Step-by-step explanation:
A = r²· a / 2
Help me pls I do not know
DUE IN 5 MINUTES PLEASE HELP ASAP
Step-by-step explanation:
jannsonparker is correct and should be marked brainliest.
this is just an illustration for you
(easy math question please help) find the value of x question #6
Answer:
Step-by-step explanation:
45+8x+21+90=180 degree(sum of interior angles of a triangle)
156+8x=180
8x=180-156
8x=24
x=24/8
x=3
1. If segments MN, NO, and MO are tangent to circle P, find x.
70
x
•Р
2 m
M
N
-10 m
2 m
5 m
6 m
8 m
Answer:
Step-by-step explanation:
8m
What is the slope of the graph?
-2/3
[tex]s = \frac{y2 - y1}{x2 - x1} [/tex]
Help find the slope of the line.
Answer:
b) slope of the given line is m = - 3
Step-by-step explanation:
(x1 , y1 ) = ( 1 ,2 ) , ( x2 , y2 ) = ( 3, - 4 )
Slope m = y2 - y1
x2 - x1
m = - 4 - 2. = - 6 = - 3
3 - 1 2
Are all numbers that are divisible by 2 also divisible by 10
Answer:The Rule for 10: Numbers that are divisible by 10 need to be even and divisible by 5, because the prime factors of 10 are 5 and 2. Basically, this means that for a number to be divisible by 10, the last digit must be a 0. ... So this number is even and divisible by 5. That means that it is also divisible by 10
Step-by-step explanation:
A boat goes 25 mph in still water, and the rate of the current is t mph.
What Is the rate of the boat when it travels up stream? What is the rate of the boat when it travels down stream?
Answer:ppppppppp
poopy
To wash a window that is 8 meters off the ground, Stanley leans a latter against the side of the building The base of the latter is 6 meters from the building How long is the ladder that Stanley is using?
Answer:
the latter is ten meters long
Step-by-step explanation:
its just ten meters long
Please help if you really can help with this math question.
If a question asks “which of the following best estimates the area?” My answer was $4800. If it’s asking for estimation is it suppose to be $5000 ???
Answer:
I'm pretty sure it is suppsoed to be 4800.
Step-by-step explanation:
What is the value of the x in the given diagram?
Answer:
send the whole statement
Three less than four times a number
Answer:
4n - 3
Step-by-step explanation:
let n = random number
break the words down
4 times a number is 4n
three less means subtracting 3
so the final expression is 4n - 3
Which statement about angle 0 is true
Answer:
3/5
Step-by-step explanation:
We calculate the value of cos for an angle by dividing the adjacent angle to hypotenuse so the option with 3/5 (simplified fraction of 18/30) is the correct answer.
PLEASE HELP IM DESPERATE
Answer:
20
Step-by-step explanation:
You can write the equation x+(3x+1)+(x-11)=90 and then isolate x
x+(3x+1)+(x-11)=90
5x-10=90 (combine like terms)
5x-10+10=90+10 (add 10, addition property of equality)
5x=100
5x/5=100/5 (divide by five, division property of equality)
x=20
in a recent year 33% of the college students were enrolled part-time. if 7.9 million students were enrolled part-time that year what was the total number of the college students?
Answer:
23.9393939393 million
Step-by-step explanation:
I keep it as 7.9 instead of 7900000 to not deal with the zeros.
7.9x[tex]\frac{100}{33}[/tex]=23.9393939393
23.9393939393 answer in millions
z > 34. Which of the following statements is the best way to describe the value of z? (3 points) The value of z is less than 34. The value of z is more than 34. The value of z has a maximum of 34. The value of z has a minimum of 34.
Answer:
ans: value of z is greater than 34
Step-by-step explanation:
draw the number line as shown in picture
How many servings of vegetables were eaten after October 19th?
O A) 13
OB) 20
OC) 26
OD) 39
show that the two circles x²+y²=100 and x²+y²-24x -10y +160=0 touch externally .
Answer:
The circles touch externally.
Step-by-step explanation:
The general equation of a circle is given by;
x² + y² + 2gx + 2fy + c = 0 -------------(i)
Where;
g, f and c are all constants
and;
(-g, -f) gives the centre of the circle
√(g² + f² - c) gives the radius of the circle.
Now compare the given circles with the general equation to find the centres and radii of the two circles.
(i) For circle 1
x²+y²=100
This can be re-written as
x²+y² + 2(0)x + 2(0)y - 100 = 0 --------------(ii)
Comparing equation (ii) with equation (i), we see that;
g = 0
f = 0
c = -100
Therefore,
(a) the centre (-g, -f) of the circle is (0,0)
(b) the radius √(g² + f² - c) of the circle is
=> √(0² + 0² - (-100))
=> √(100)
=> 10
(i) For circle 2
x²+y²-24x -10y +160=0
This can be re-written as
x²+y² + 2(-12)x + 2(-5)y + 160 = 0 --------------(iii)
Comparing equation (iii) with equation (i), we see that;
g = -12
f = -5
c = 160
Therefore,
(a) the centre (-g, -f) of the circle is (12,5)
(b) the radius √(g² + f² - c) of the circle is
=> √((-12)² + (-5)² - (160))
=> √(144 + 25 - 160)
=> √9
=> 3
(iii) Two circles touch externally if the distance between their centres is equal to the sum of their radii.
(a) Let's calculate the distance (d) between the centres of the circles as follows;
d = √(x₂ - x₁)² + (y₂ - y₁)²
Where;
x₂ and x₁ are the x-coordinates of the centres of the first and second circles respectively i.e x₂ = 12 and x₁ = 0
y₂ and y₁ are the y-coordinates of the centres of the first and second circles respectively i.e y₂ = 5 and y₁ = 0
=> d = √(12 - 0)² + (5 - 0)²
=> d = √(12)² + (5)²
=> d = √169
=> d = 13
(b) Let's calculate the sum (s) of the radii of the two circles.
s = 10 + 3
s = 13
Now, since the distance between their centres is equal to the sum of their radii, the two circles does touch externally.
In order to pay for supplies, a certain business needs to profit $2400.
In its first week of business, the company makes a profit of $1180.
If the variable m stands for the remaining amount of money the company must make to pay for supplies,
which of the following choices is the most reasonable value for m?
A. $300
B. $4000
C. $120
D. $1200
Answer: D. $1200
Step-by-step explanation:
Since we are given the information that the business needs to make a profit $2400 in order to pay for supplies but made $1180 in its first week of business, therefore, the remaining amount that's needed to be made will be:
$1180 + m = $2400
m = $2400 - $1180
m = $1220
Therefore, the closest value will be $1200
