Given tangent, ZN, to the circle and the arc [tex]\widehat{ZMB}[/tex] = 280°, we have that
the angle formed by the chord BZ and the tangent ZN, ∠BZN is 50°
Which method can be used to find ∠BZN?The given parameters are;
A tangent to the circle O = ZN
[tex]m \widehat{ZMB}} = \mathbf{280^{\circ}}[/tex]
Required:
Angle ∠BZN
Solution;
Please find attached the drawing of the circle and tangent
From the drawing, we have;
∠BOZ = 360° - 280° = 80°
ΔBOZ is an isosceles triangle, which gives;
∠BZO = ∠ZBO
[tex]\angle BZO = \dfrac{(180^{\circ}- 80^{\circ}) }{2} = \mathbf{50^{\circ}}[/tex]
∠OZN = 90° (by definition of a tangent)
∠OZN = ∠BZO + ∠BZN
∠BZN = ∠OZN - ∠BZO
Which gives;
∠BZN = 90° - 40° = 50°
The measure of angle ∠BZN = 50°Learn more about tangents to a circle here:
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Find the sum of 2+37/8+20/9
8/61/72
Step-by-step explanation:
use scientific calculator ❗
Which inequality is represented on the line?
-11-10
Answer:
Ello Haikyuu here!
Step-by-step explanation:
Inequalities on a number line. Inequalities can be represented on a number line as shown in the inequalities below: Note: the open circle above a number means it is not included as part of the solution to the inequality while the solid circle means that it is.
uh I hope this is right, i'm not sure
but here ya go! :3
What is the following quotient? StartFraction 2 Over StartRoot 13 EndRoot StartRoot 11 EndRoot EndFraction.
Function assigns one element of one set to the other specific element of another set. The quotient of the fraction [tex]\dfrac{2}{\sqrt{13}+\sqrt{11}}[/tex] is [tex]{\sqrt{13}-\sqrt{11}}[/tex].
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
As the fraction is given to us,
[tex]\dfrac{2}{\sqrt{13}+\sqrt{11}}[/tex]
Rationalizing the fraction we will get,
[tex]=\dfrac{2}{\sqrt{13}+\sqrt{11}} \times \dfrac{{\sqrt{13}-\sqrt{11}}}{{\sqrt{13}-\sqrt{11}}}\\\\= \dfrac{2({\sqrt{13}-\sqrt{11}})}{(\sqrt{13})^2-(\sqrt{11})^2}\\\\= \dfrac{2({\sqrt{13}-\sqrt{11}})}{13-11}\\\\=\dfrac{2({\sqrt{13}-\sqrt{11}})}{2}[/tex]
Now, if we divide the numerator by the denominator to get the quotient we will get,
[tex]= \dfrac{2({\sqrt{13}-\sqrt{11}})}{2}\\\\={2({\sqrt{13}-\sqrt{11}})}\div 2\\\\={\sqrt{13}-\sqrt{11}}[/tex]
Hence, the quotient of the fraction [tex]\dfrac{2}{\sqrt{13}+\sqrt{11}}[/tex] is [tex]{\sqrt{13}-\sqrt{11}}[/tex].
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The quotient of the given number start Fraction 2 over start root 13 end root start root 11 end root end Fraction.
[tex]\sqrt{13}-\sqrt{11}[/tex]
What is the quotient?Quotient is the resultant number which is obtained by dividing a number with another. Let a number a is divided by number b. Then the quotient of these two number will be,
[tex]q=\dfrac{a}{b}[/tex]
Here, (a, b) are the real numbers.
The number Start Fraction 2 Over Start Root 13 End Root Start Root 11 End Root End Fraction given can be written as,
[tex]\dfrac{2}{\sqrt{13}+\sqrt{11}}[/tex]
Let the quotient of this division is n. Therefore,
[tex]n=\dfrac{2}{\sqrt{13}+\sqrt{11}}[/tex]
By rationalizing the denominator, we get,
[tex]n=\dfrac{2}{\sqrt{13}+\sqrt{11}}\times\dfrac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}\\n=\dfrac{2(\sqrt{13}-\sqrt{11})}{(\sqrt{13})^2-(\sqrt{11})^2}\\n=\dfrac{2(\sqrt{13}-\sqrt{11})}{13-11}\\\\n=\dfrac{2(\sqrt{13}-\sqrt{11})}{2}\\n=\sqrt{13}-\sqrt{11}[/tex]
Hence, the quotient of the given number start Fraction 2 Over Start Root 13 End Root Start Root 11 End Root End Fraction.
[tex]\sqrt{13}-\sqrt{11}[/tex]
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Find B in degrees. PLEASE HELP. MARKING BRAINLIEST!!!
Answer:
28.61
Step-by-step explanation:
[tex]tan^{-1} (6/11)[/tex]
Put the following equation of a line into slope-intercept form, simplifying all fractions. 4x+4y=4
Answer:y=x+7
Step-by-step explanation:
27. The perimeter of a rectangle is 46 inches. If the width of the rectangle is 11 inches, what is
the length?
A. 12 in
B. 23 in
C. 35 in
D. 24 in
Answer:
12
Step-by-step explanation:
perimeter is (a+b) x 2 = 46
a is width and b is length
a=11
(11+b) x 2 = 46
22 + 2b = 46
2b = 24
b = 12 ( length )
Solution:
We know that:
Width of rectangle = 11 inchesPerimeter of rectangle = L + B + L + B = 2L + 2BSubstitute the width in the expression:
2L + 2B = Perimeter2L + 2(11) = 46 inSimplify the LHS:
2L + 22 = 46 inSubtract 22 both sides:
2L = 46 - 222L = 24Divide 2 both sides:
2L/2 = 24/2L = 24/2 = 12 inWhich statement best describes what the graph shows?
A. As speed increases, kinetic energy stays the same.
B. As kinetic energy increases, speed decreases exponentially
C. As speed decreases, kinetic energy doubles each time.
D. As speed increases, kinetic energy increases exponentially
Answer:B
Step-by-step explanation:Why because kinetik energy is moving and since its a curve line instead of straigh the speed will decrease
Sorry if I am wrong
Quincy ordered a meal at a restaurant for $9.85. After a tax
of 3.3% was added, he added a 22% tip.
How much did Quincy pay?
Answer:
$12.42
Step-by-step explanation:
so the meal itself was $9.85
9.85*3.3% approximately equals $0.33
9.85+0.33=10.18
10.18*22% approximately equals $2.24
10.18+2.24=12.42
Therefore the answer is $12.42
Barbara is buying 4 binders, and each binder costs the same amount. She uses a coupon that gives her $3 off for the total purchase price of the binders. Barb pays a total of $11 when the value of the coupon is subtracted. Which equation shows how to find p, the original price of each binder?
Answer:
Equation is 4 p-3=11
Step-by-step explanation:
Barbara is buying 4 binders each cost same amount.
Let the cost of 1 binder is '$p'.
So, cost of 4 binders = $4 p.
Now, a coupon that gives her $3 off.
So, Barb needs to pay 4 p-3 dollars.
Barb pays a total of $11 when the value of the coupon is subtracted.
So, we can set up equation as
4 p-3=11
Someone please help im on timed test
What is the quotient of 7.92 times 10^7 and 7.2 times 10^3 expressed in scientific notation?
Given parameters:
First number = 7.92 x 10⁷
Second number = 7.2 x 10³
Quotient is the number obtained division;
Now;
[tex]\frac{7.92 x 10^{7} }{7.2 x 10^{3} }[/tex]
= [tex]\frac{7.92}{7.2}[/tex] x 10⁷⁻³
= 1.1 x 10⁴
The quotient of the two numbers expressed in scientific notation is 1.1 x 10⁴
I don’t understand the question m
Answer:
It equals 77 degrees
For each value of x, determine whether it is a solution to 24<4x .
Answer:
No, Yes, No, Yes
Step-by-step explanation:
1. 24
9
Rita buys a box of chocolates.
(Extra)
For every 2 plain chocolates there are 3 milk chocolates.
There are 30 chocolates in the box.
How many milk chocolates are there?
Show your method
Answer:
12 plain and 18 milk
Step-by-step explanation:
convert it to fraction first: 2/5 are plain and 3/5 is milk
30÷5= 6
2x6=12
3x6=18
to check wheter or not it is correct add the amount. if it gets the total, it is correct.
PLEASE HELP ME
the function f(x)=x^2 is transformed to the function g(x)=2(x-2)^2 +1
I already did a just need help sketching the original graph please review the picture I made It easy
Answer:
f(x) → f(x - b) means shift the function b units to right
Therefore x² → (x - 2)² means the function is moved 2 units to the right.
f(x) → a f(x) means a vertical stretch
Therefore (x - 2)² → 2(x - 2)² means the function stretched vertically by a scale factor of 2.
f(x) → f(x) + b means shift the function b units up
Therefore 2(x - 2)² + 1 means the function is moved 1 unit up.
Attached diagram:
f(x) is shown in black, g(x) is shown in red.
Points to help plot graph f(x):
(-3, 9) (-2, 4) (0, 0) (2, 4) (3, 9)
Points to help plot graph g(x):
(0, 9) (2, 1) (4, 9)
Which of the following statements is NOT true?
The rate of change and the constant of proportionality are the same value in a proportional relationship.
The value of and the value of Ay are different in a proportional relationship.
A proportional relationship is a linear relationship.
The unit rate and the k-value are the same value in a proportional relationship.
х
Linear, Quadratic, or Exponential.
please number the answers!
Can anyone tell me what median,mode, and mean is? thanks :)
Answer:
The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.
The median is the middle value when a data set is ordered from least to greatest.
The mode is the number that occurs most often in a data set.
Step-by-step explanation:
Pls, choose me as brainliest!
Hich of the following is equivalent to 5 square root 13^3?
Answer:
I believe the answer is 65 square root 13, if im wrong pls give me the options to choose from
2. Can a triangle have 2 obtuse angles?
Explain
ILL MARK BRAINILEST (100 POINTS) !!! Factor the polynomial 7xy + 14x − 35y − 70 completely. 7(2x − 5)(y + 2) 7(x − 5)(y + 2) 7(x − 2)(y + 5) 7(x − 10)(y + 2)
Answer:
B. 7(x − 5)(y + 2)
Explanation:
A. 7(2x − 5)(y + 2) = 14xy + 28x − 35y − 70 (Wrong)
B. 7(x − 5)(y + 2) = 7xy + 14x − 35y − 70 (Correct)
C. 7(x − 2)(y + 5) = 7xy + 35x− 14y − 70 (Wrong)
D. 7(x − 10)(y + 2) = 7xy + 14x − 70y − 140 (Wrong)
2nd one
Let's verify
[tex]\\ \rm\Rrightarrow 7(x-5)(y+2)[/tex]
[tex]\\ \rm\Rrightarrow 7(xy-5y+2x-10)[/tex]
[tex]\\ \rm\Rrightarrow 7xy-35+14x-70[/tex]
Verified
how to solve matrix addition and subtraction
Answer:
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}1&3&3\\-4&3&3\end{array}\right] -\left[\begin{array}{ccc}4&-3&4\\-1&5&0\end{array}\right] =\left[\begin{array}{ccc}1-4&3+3&3-4\\-4+1&3-5&3-0\end{array}\right] =\left[\begin{array}{ccc}-3&6&-1\\-3&-2&3\end{array}\right][/tex]
How to Simplify 4y^2 x y^3?
Answer:
4y⁵
Step-by-step explanation:
xⁿ·xⁿ = xⁿ⁺ⁿ
1). 4y²·y³
2). 4(y²·y³)
3). 4y²⁺³ = 4y⁵
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS
Answer:
i think its the first one
Answer:
-1 vertical, 5 horizontal
Step-by-step explanation:
On the y-axis, the shape has moved down 1, which is –1 vertical.
On the x-axis, the shape has moved right 5, which is 5 horizontal.
The table shows the average number of hours of daylight per day for the last four months of the year. A 2-column table with 4 rows. The first column is labeled month of year with entries 9, 10, 11, 12. The second column is labeled average hours of daylight per day with entries 12. 37, 11. 37, 10. 57, 10. What is the correlation coefficient for the data in the table? –0. 993 –0. 791 0. 791 0. 993.
Answer:
a is the correct option
Step-by-step explanation:
The value of the correlation coefficient is -0.993, The correct option is A.
What is the Correlation Coefficient?The coefficient used to determine how strong is the relation between the two variables in the data set is the Correlation Coefficient.
The correlation coefficient is determined by using the following formula
[tex]\rm r = \dfrac{ n(\sum xy) - \sum x\sum y}{\sqrt {n\sum x^2 - (\sum x)^2 }\sqrt{n\sum y^2 - (\sum y)^2}}[/tex]
The values of the required data will be calculated from the data given
n = 4 rows
∑x = 42
∑y = 44.37
∑xy = 461.3
∑x^2 = 446
∑y^2 = 494
Putting the values in the equation of correlation coefficient:
r = -0.993
Therefore, the value of the correlation coefficient is -0.993, The correct option is A.
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Max loves fishing. He and his family chartered a fishing boat that left Florida and traveled towards the Bahama Islands at an
average speed of 10 km/hour. Some time later a cruise ship left traveling in the same direction but at an average speed of 14
km/hour. After traveling for ten hours the cruise ship caught up with the fishing boat. How long did the fishing boat travel before
the cruise ship caught up?
Note: Remember to find the time the fishing boat was traveling not just what x is.
Select the correct response:
28 hours
24 hours
14 hours
12 hours
The fishing boat traveled for 14 hours before the cruise ship caught up.
We have,
Let's assume that the fishing boat traveled for x hours before the cruise ship caught up.
In that time, the fishing boat covered a distance of 10x km.
During the same 10 hours, the cruise ship traveled 14 x 10 = 140 km.
Since both the fishing boat and the cruise ship covered the same distance, we can write:
10x = 140
Solving for x, we get:
x = 14
Therefore,
The fishing boat traveled for 14 hours before the cruise ship caught up.
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I dont understand this someone help please
Hello
3 + 5 + 7 = 15
cups of tomato = 105 x 5/15 = 35
Answer:
49
Step-by-step explanation:
sum the parts of the ratio, 3 + 5 + 7 = 15 parts
divide cups of salsa by 15 to find value of one part of the ratio
105 ÷ 15 = 7 ← value of 1 part of the ratio , then
7 parts = 7 × 7 = 49
49 cups of tomato are required
if a and b are integers, what conditions would make a×b >0?
Answer:
If a and b are either both positive integers or both negative integers
Step-by-step explanation:
If a and b are both positive integers (a>0 and b>0), then the product will obviously be a positive number. Additionally, if both terms are negative (a<0 and b<0), the product of two negative integers is positive and will satisfy the condition.
Integers are numbers without decimal points.
The conditions that would make [tex]\mathbf{a \times b > 0}[/tex] are: a, b > 0 or a, b < 0
From the question, we have:
[tex]\mathbf{a \times b > 0}[/tex]
Divide both sides by a
[tex]\mathbf{b > 0}[/tex]
Divide both sides by b
[tex]\mathbf{a > 0}[/tex]
The above means that, for [tex]\mathbf{a \times b > 0}[/tex] to be true, then [tex]\mathbf{a > 0}[/tex] and [tex]\mathbf{b > 0}[/tex]
Another possible condition is that:
[tex]\mathbf{a \times b > 0}[/tex]
Divide both sides by -a
[tex]\mathbf{b<0}[/tex]
Divide both sides by -b
[tex]\mathbf{a<0}[/tex]
The above means that, for [tex]\mathbf{a \times b > 0}[/tex] to be true, then [tex]\mathbf{a<0}[/tex] and [tex]\mathbf{b<0}[/tex]
Hence, the condition that would make [tex]\mathbf{a \times b > 0}[/tex] true is that: a and b have the same sign
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n - 5 = 3n + 1
solve for n.
Answer:
-3
Step-by-step explanation:
n-5=3n+1
3n-n= -5-1
2n= - 6
n=-3
Please help :( On the coordinate grid shown below, pentagon J is similar to pentagon K.
Which sequence of transformations could be applied to pentagon J to create pentagon K?
A. a rotation 90° counterclockwise about the origin, then a translation 3 units up and 7 units right
B. a reflection across the x-axis, then a translation 2 units up and 8 units right
C. a rotation 90° clockwise about the origin, then a translation 1 unit down and 5 units right
D. a reflection across the y-axis, then a translation 4 units right
Answer:
A
Step-by-step explanation:
i think it's A, i am not 100% sure and i cannot give you a full explanation why because i am doing it in my head, but i mentally did all the other ones and A is the only one that would work
If PQ= 18 units, where should the midpoint lie to divide the line segment into two congruent segments?