Answers
Answer:
12
Step-by-step explanation:
By tangent secant theorem intersecting outside of a circle, we have:
[tex] {x}^{2} = 6 \times (6 + 18) \\ {x}^{2} = 6 \times 24 \\ {x}^{2} = 144 \\ x = \sqrt{144} \\ x = 12 \\ [/tex]
Related Questions
What is the value of y?
40°
Y + 30°
Answers
Answer:
y = 55
Step-by-step explanation:
The sum of the angles of a triangle are 180
40 + y+30 + y = 180
Combine like terms
70 +2y = 180
Subtract 70 from each side
2y = 180-70
2y = 110
Divide each side by 2
2y/2 = 110/2
y = 55
Choose the correct algebraic expression for the following: the quotient of y and 7
Answers
Answer:
y ÷ 7
Step-by-step explanation:
Quotient is code for divide.
We don't want to subtract so the first option isn't correct
We don't want to add so the second one isn't correct
We don't want to multiply so the third one isn't correct
This leaves us with our last option which is correct.
any number that divisible by 3 is also divisible by 6 . Find a counterexample to show that the conjecture is false
Answers
Answer:
Counterexample: 21 which is divisible by 3 but not by 6.
Step-by-step explanation:
Use for example the number 21 which is divisible by 3 rendering 7, but not divisible by 6.
You can find any number with at least a factor of "3", but no factor "2" in it, so any odd number divisible by 3 would work as counterexample.
What is the value of this expression when g=-3.5?
8-12g-51
Answers
Step-by-step explanation:
If g=3.5 what about 12g
12g×3.5=42
8_42_51=_85
Pls help me
BRAINLIST
Answers
Answer:
I think it's 60%
Step-by-step explanation:
There are total 10 sophomores, and 6 are male, so 6/10 are male, meaning there's a 60% chance.
I hope this helps you! Please give brainliest!
The recipe calls for a pound and a half of strawberries, but I only needed one-third as many blueberries as I did strawberries to make the pie. How many blueberries did I need?
Answers
Answer:
8 ounces
Step-by-step explanation:
First, you should convert the 1 1/2 pounds to ounces. (24 ounces) Once that is converted, you can then divide it by 3 to find how many blueberries you need. (24÷3=8) So now you can see that you need 8 ounces of blueberries for the pie.
Line p and q are parallel lines. The slope of line q is-3. Determine the slope of line p. Type a numerical answer in the
space provided. If necessary, use the key to represent a fraction bar. Do not put spaces in your answer.
Answers
Answer:
The slope of p is also - 3 .
Since p and q are parallel their slope are also the same.
Hope this helps
Answer:
The slope of line p is also -3
Step-by-step explanation:
Recall that parallel lines have the property of carrying the exact same slope (that is why they don't intersect). Therefore if the slope of line q is -3, the slope of line p must also be -3.
Rename 2/1 using the least common denominator, 4.
Answers
Answer:
8/4
Step-by-step explanation:
2/1
We want a denominator of 4 so multiply by 4/4
2/1 * 4/4 = 8/4
Dale is 4 years older than sue. Five years ago the sum of their ages was 64. How old are they now?
Answers
Answer:
39 and 35
Step-by-step explanation:
im having trouble with this question... please help me.
Answers
Answer:
last option.
Step-by-step explanation:
See attached.
I'm not sure why you crossed out the last option, but it seems to be correct.
Answer:
[tex] \boxed{\sf \frac{3x - 11}{ {x}^{2} + 2x - 3}} [/tex]
Step-by-step explanation:
[tex] \sf \implies \frac{5}{x + 3} - \frac{2}{x - 1} \\ \\ \sf Put \: each \: term \: in \: \frac{5}{x + 3} - \frac{2}{x - 1} \: over \: the \: common \\ \sf denominator \:(x + 3)(x - 1) : \\ \sf \implies \frac{5(x - 1)}{(x - 1)(x + 3)} - \frac{2(x + 3)}{(x - 1)(x + 3)} \\ \\ \sf \frac{5(x - 1)}{(x - 1)(x + 3)} - \frac{2(x + 3)}{(x - 1)(x + 3)} = \frac{5(x - 1) - 2(x + 3)}{(x - 1)(x + 3)} : \\ \sf \implies \frac{5(x - 1) - 2(x + 3)}{(x - 1)(x + 3)} \\ \\ \sf 5(x - 1) = 5x - 5 : \\ \sf \implies \frac{ \boxed{ \sf 5x - 5} - 2(x + 3)}{(x - 1)(x + 3)} \\ \\ \sf - 2(x + 3) = - 2x - 6 : \\ \sf \implies \frac{5x - 5 + \boxed{ \sf - 2x - 6}}{(x - 1)(x + 3)} \\ \\ \sf Grouping \: like \: terms, \: 5x - 5 - 2x - 6 = \\ \sf (5x - 2x) + ( - 5 - 6) : \\ \sf \implies \frac{ \boxed{ \sf (5x - 2x) + ( - 5 - 6)}}{(x - 1)(x + 3)} \\ \\ \sf 5x - 2x = 3x : \\ \sf \implies \frac{ \boxed{ \sf 3x} + ( - 5 - 6)}{(x - 1)(x + 3)} \\ \\ \sf - 5 - 6 = - 11 : \\ \sf \implies \frac{3x + \boxed{ - 11}}{(x - 1)(x + 3)} [/tex]
[tex]\sf (x - 1)(x + 3) = x(x + 3) - 1(x + 3) : \\ \sf \implies \frac{3x - 11}{ \boxed{ \sf x(x + 3) - 1(x + 3)}} \\ \\ \sf x(x + 3) = {x}^{2} + 3x : \\ \sf \implies \frac{3x - 11}{ \boxed{ \sf {x}^{2} + 3x} - 1(x + 3)} \\ \\ \sf - 1(x + 3) = - x - 3 \\ \sf \implies \frac{3x - 11}{ {x}^{2} + 3x + \boxed{ \sf - x - 3} } \\ \\ \sf 3x - x = 2x : \\ \sf \implies \frac{3x - 11}{ {x}^{2} + 2x - 3} [/tex]
A windshield wiper blade is 18 inches long. To the nearest square
inch, what is the area covered by the blade as it rotates through an
angle of 122 degrees? (Enter just a number for your answer.)
Answers
the answer is 22 degrees
The area covered by the blade as it rotates through an angle of 122 degrees is approximately 346 square inches.
We have,
The area of a sector can be calculated using the formula:
Area = (θ/360) * π * r²
where θ is the central angle in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the sector.
The central angle is 122 degrees, and the radius of the wiper blade is 18 inches.
Substituting the values into the formula:
Area = (122/360) * π * (18²)
Area = (0.3389) * 3.14159 * 324
Area ≈ 344.77 square inches
Area = 345 square inches
Therefore,
The area covered by the blade as it rotates through an angle of 122 degrees is approximately 346 square inches.
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The amount of time (t) in minutes it takes to make a coffee at Starbucks is related to (n) the number of coffees they purchase. The equation is t= 21-3 How long does it
take if a customer buys 5 coffees?
Answers
Answer: 7 minutes
Step-by-step explanation:
There is no n variable in the question, found the original question and the equations is: t = 2n – 3.
So, to answer this question we simply have to substitute n=5 in the equation given:
t = 2(5) – 3.
Solving for t(time)
t = 10-3 = 7 min.
It will take the customer 7 minutes to buy 5 coffees.
Feel free to ask for more if needed or if you did not understand something.
A band went to a recording studio and recorded 4 songs in 3 hours. How many hours would it take the band to record 9 songs if they record at the same rate?
Answers
Answer:
6 hours and 45 minutes
Step-by-step explanation:
if you divide 3 hours by four songs you deduce that it take 45 minutes to record one song.
8 is double 4 so it will take 3more hours plus the 45 minutes for the ninth song.
3+3+.45= 6.45
tom bought a football as shown and paid $142.00.What was the discount on the football?and $160.00 for the football
Answers
Answer:
11.25% off i think
Step-by-step explanation:
Answer:
It is unidetified!!
Step-by-step explanation:
In a local ice sculpture contest, one group sculpted a block into a rectangular based pyramid. The dimensions of the base were 3 m by 5 m, and the pyramid was 3.6 m high. Calculate the amount of ice needed for this sculpture.
Answers
Answer:
47.65 ice
Step-by-step explanation:
Hope this helps :)
PLEASE ANSWER!!! You are helping wish some repairs at home. you drop a hammer and it hits the floor at a speed of 12 feet per second. If the acceleration due to gravity (g) is 32 feet/second², how far above the ground (h) was the hammer when you dropped it? Use the formula: v=√2gh A. 2.25 feet B. 18.0 feet C. 8.5 feet D. 1.0 foot
Answers
Answer:
h = 2.25 m
Step-by-step explanation:
Given:
Speed = v = 12 ft/sec
Acceleration due to gravity = g = 32 ft/sec²
Required:
Height = h = ?
Formula:
v = [tex]\sqrt{2gh}[/tex]
Solution:
For h, the formula will be:
=> h = [tex]\frac{v^2}{2g}[/tex]
=> h = [tex]\frac{(12)^2}{2(32)}[/tex]
=> h = [tex]\frac{144}{64}[/tex]
=> h = 2.25 m
I need help on this question fast!!
Answers
Answer: y=235x+15
Step-by-step explanation:
Plug in 4 for x
Y= 235(4)+15
Y= 955
Help help urgentlyyy please❤️❤️
Answers
Answer:
g(2) = 5
g(-2) = 2
g(-3) = 0
g(5) = 1
g(x) = 0 when x = 3
g(x) = 6 when x = 0
Step-by-step explanation:
Your just finding the values of y when x is unknown or when y is unknown and your trying to find x. f(x) is just a fancy way of saying y.
HELP ME please!!!! this question won’t come up
Answers
Answer:
1st Option
Step-by-step explanation:
Step 1: Convert radicals to exponents
[tex]\frac{(x^2)^{\frac{1}{7}} }{(y^3)^{\frac{1}{5} }}[/tex]
Step 2: Multiply exponents
[tex]\frac{x^{\frac{2}{7} } }{y^{\frac{3}{5} } }}[/tex]
Step 3: Move the y term
[tex](x^{\frac{2}{7} })(y^{\frac{-3}{5} })[/tex]
1.)The angle θ lies in Quadrant IV. sinθ=−2/3 What is cosθ?
a. −2/3
b. 2/3
c. −5/√3
d.5/√3
2.)The angle θ lies in Quadrant I. cosθ=3/5 What is tanθ?
a.4/3
b.−4/5
c. −4/3
d. 4/5
3.)Given sin(−θ)=−1/6 and tanθ=−35/√35. What is the value of cosθ?
a.−35/√210
b.−35/√6
c.35/√210
d.35/√6
4.)cos(−θ)=3/√4, sinθ<0 What is the value of sinθ?
a.13/√4
b. 13/√16
c. −13/√16
d.−13/√4
5.)Marty is proving that the following trigonometric identity is true: tan^2 θ⋅cos^2 θ=1−cos^2 θ
Which step would be the first line of his proof?
a. tan^2 θ⋅cos^2 θ=tan^2 θ
b. tan^2 θ⋅cos^2 θ=sin^2 θ
c.tan^2 θ⋅cos^2 θ=1−sin^2 θ
d.tan^2 θ=1−cos^2 θ⋅cos^2 θ
Answers
Answer:
1. From sin²θ +cos²θ =1 and sinθ=-2/3, we see that cosθ=√(1-sin²θ) or cosθ=√5/3, where the sign of cosine is positive as it is in Quadrant IV. x lies in 4th quadrant , cos x is +ve. , cos x = √5/3. Answer.
answer : cos x = √5/3
2. 4/3
3. sin (- theta) = - sin (x) so sin x = 1/6
tan = sin / cos = 1/6 / cos = - sqrt35/35 solve for cos
cos = 1/6 * (-35/sqrt35)
= -35 sqrt35 /210
answer : −35/√210
4. The cosine function is an even function, so cos(θ) = cos(-θ).
The relationship between sin(θ) and cos(θ) is sin(θ) = ±√(1 -cos(θ)^2)
For sin(θ) < 0 and cos(θ) = (√3)/4, sin(θ) = -√(1 -3/16) = -√(13/16)
sin(θ) = -(√13)/4 For sin(θ) < 0 and cos(0) = √(3/4), ...
sin(θ) = -√(1 -3/4) = -√(1/4) sin(θ) = -1/2
answer : -13/√4
5. answer : tan^2 θ ⋅ cos^2 θ = 1 − cos^2 θ would be the first step
A graph has average temperature (degrees Fahrenheit) on the x-axis, from 0 to 60, and total coat sales on the y-axis, from 0 to 100. A trend line goes through points (55, 50) and (65, 40).
Quincy claims that if 80 coats are sold, the outside temperature is likely to be about 42°F. Did Quincy make a reliable prediction? If not, what was his mistake?
A.Yes. Quincy’s prediction is reliable.
B.No. Quincy should have used the trend line to find the corresponding y value when x=80.
C.No. Quincy should have used the trend line to find the corresponding x value when y=80.
D.No. The prediction is extrapolated, so it is too far off the graph to be reliable.
Answers
Answer:
it's c
Step-by-step explanation:
I saw this on Ed 2020
Answer:
it is C i took the assignment
Step-by-step explanation:
person above me is correct too edge 2020
can you solve - x/4<7 ?
Answers
Answer:
Step-by-step explanation:
f(x)=x^2. What is g(x)
Answers
Answer:
[tex]g(x) = \frac14x^2[/tex]
Step-by-step explanation:
Since f(x) and g(x) share the same top at (0,0), their difference is only a scale factor, so g(x) = ax² but we need to find a.
To find it, we use the given point of g, (2,1)
So g(2) = 1
meaning that
a·2² = 1
4a = 1
a = 1/4
Instructions: Find the measure of one interior angle for the following regular polygon.
Answers
Answer:
60
Step-by-step explanation:
interior angles for a triangle is 180°
180 ÷ 3 sides = 60°
The given regular polygon is an equilateral triangle.
The measure of one interior angle of it is 60°.
The measure of one exterior angle is 120°.
What are the measures of interior and exterior angle of a regular polygon?For an n-sided polygon,
The sum of all interior angles = (n - 2)180°.
The sum of all exterior angles = 360°.
We know, that a regular polygon has all sides equal, all interior angles equal, and also all exterior angles equal.
Therefore,
The value of each interior angle of a regular polygon = (The sum of all interior angles)/n,
or, The value of each interior angle of a regular polygon = {(n - 2)180°}/n.
The value of each exterior angle of a regular polygon = (The sum of all exterior angles)/n,
or, The value of each exterior angle of a regular polygon = 360°/n.
How to solve the question?In the question, we are asked to find the measure of one interior and one exterior angle of the given regular polygon.
The given regular polygon is a three-sided regular polygon, that is, it is an equilateral triangle.
∴ We can say that n = 3.
∴ The value of each interior angle of a regular polygon = {(n - 2)180°}/n.
or, The value of each interior angle of a regular polygon = {(3 - 2)180°}/3 = 180°/3 = 60°.
∴ The value of each exterior angle of a regular polygon = 360°/n.
or, The value of each exterior angle of a regular polygon = 360°/3 = 120°.
∴ The given regular polygon is an equilateral triangle.
The measure of one interior angle of it is 60°.
The measure of one exterior angle is 120°.
Learn more about regular polygons at
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What does the point (1,8) mean in this situation?
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
There are 8 chocolate chips in one pancake.
▹ Step-by-Step Explanation
The x is labeled as Number of Pancakes.
The y is labeled as Number of Chocolate Chips
Therefore, the 1 represents the pancakes and the 8 represents the amount of chocolate chips per pancake. This would be stated as:
There are 8 chocolate chips in one pancake.
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
8 choloclate chips in 1 pancake
Step-by-step explanation:
So the x-axis represents the amount 8 of pancakes.
The y-axis represents the number of chocolate chips.
Therefore, the following point (1,8) represents 8 chocolate chips in 1 pancake.
-—————————————I do hope this helps!————————————————
Please help! Segment QR is tangent to circle P at point Q. What is the measure of angle PQR? A.) 37 degrees B.) 53 degrees C.) 90 degrees D.) 97 degrees
Answers
Answer:
Correct option: C) 90 degrees
Step-by-step explanation:
When we have a tangent segment to a circle, the angle made with the radius of the circle and the tangent segment is always a right angle, that is, 90 degrees. In other words, the radius and the tangent segment are always perpendicular.
If QR is tangent to the circle P, and PQ is the radius of the circle, the segment PQ is perpendicular to the segment QR, so the angle PQR is equal 90 degrees.
Correct option: C)
Answer:
Angle PQR is 90 so answer would be C
Step-by-step explanation:
Is 31.669 an integer?
Answers
Answer:
No
Step-by-step explanation:
Integers are whole numbers 1, 2, 3, 4, so on and so on
Answer:
No.
Step-by-step explanation:
Integers are whole numbers that are either negative or positive. They do not include decimals (if it did, it would then become a rational number, which 31.669 is).
The perimeter (distance around the triangle) of a triangular lot is 73 meters with Sides A, B, and C. Side A is 16 meters, Side B is twice the length of Side C. Find the length of Side C.
Answers
Answer:
Brainliest please
Step-by-step explanation:
perimeter is to add all sides
73m= 16+B+C
{ use algebra}
C is a, B is twice C, hence 2a
a+2a(+16)=73
3a=73-16= 57
3a=57, divide
a= 19
B=19×2= 38m
C=19m
C is 19m
Answer:
C = 19 m
Step-by-step explanation:
Side B is twice the length of Side C.
B = 2C -----------(I)
Perimeter = 73 m
A + B + C = 73
A + 2C + C = 73 {from (I)}
16 + 3C = 73
3C = 73 - 16
3C = 57
C = 57/3
C = 19 m
HELP!!! Which choice is equivalent to the expression below?
√6+2√3+√27-√12
Answers
Answer:
A
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying
[tex]\sqrt{27}[/tex] = [tex]\sqrt{9(3)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]
[tex]\sqrt{12}[/tex] = [tex]\sqrt{4(3)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex]
Thus
[tex]\sqrt{6}[/tex] + 2[tex]\sqrt{3}[/tex] + [tex]\sqrt{27}[/tex] - [tex]\sqrt{12}[/tex]
= [tex]\sqrt{6}[/tex] + 2[tex]\sqrt{3}[/tex] + 3[tex]\sqrt{3}[/tex] - 2[tex]\sqrt{3}[/tex] ← collect like terms
= 3[tex]\sqrt{3}[/tex] + [tex]\sqrt{6}[/tex] → A
The equivalent to the given expression is √6 + 3√3.
Option A is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can simplify the given expression by combining like terms under the radicals:
√6 + 2√3 + √27 - √12
= √(23) + 2√3 + √(3³) - √(2²3)
= √2√3 + 2√3 + 3√3 - 2√3
= √2√3 + 3√3
= √(23) + 3√3
= √6 + 3√3
Therefore,
The equivalent to the given expression is √6 + 3√3.
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The equations 2 x minus 5 y = negative 5, 11 x minus 5 y = 15, 9 x + 5 y = 5, and 14 x + 5 y = negative 5 are shown on the graph below.
On a coordinate plane, there are 4 lines. Green line goes through (2, 1.5) and (0.5, negative 2). Blue line goes through (0, 1) and (0.5, 0). Pink line goes through (negative 1, 2), and (0, negative 1). Orange line goes through (0, 1) and (2, 1.75).
Which system of equations has a solution of approximately (–0.6, 0.8)?
2 x minus 5 y = negative 5 and 14 x + 5 y = negative 5
2 x minus 5 y = negative 5 and 11 x minus 5 y = 15
11 x minus 5 y = 15 and 14 x + 5 y = negative 5
11 x minus 5 y = 15 and 9 x + 5 y = 5
Answers
Answer:
It's A
Step-by-step explanation:
i did the quiz