Answer:
First option
Step-by-step explanation:
If B wasn't 40 then sum of angles in right triangle would be different from 180 deg
Angle C is right angle, C=90 and A= 50
Sum of angles= 180
B= 180- (90+50)= 40 deg
-5/2(-2+11/8)=-5/2×-5/8=25/16
Answer:
x=-1/4
Step-by-step explanation:
The interior angles of a triangle are 42°,56° and 2x°. Find the value of x.
Answer:
41 degrees
Step-by-step explanation:
Since the sum of the interior angles of a triangle will always be 180 degrees:
42+56+2x=180
2x=82
x=41
Hope this helps!
Answer:
X=41°[tex]solution \\ 42 + 56 + 2x = 180(sum \: of \: angle \: in \: triangle) \\ or \: 98 + 2x = 180 \\ or \: 2x = 180 - 98 \\ or \: 2x = 82 \\ or \: x = \frac{82}{2} \\ x = 41[/tex]
hope this helps...
Good luck on your assignment...
what is the number of possible permutations of 8 objects Taken 3 at a time
The number of possible permutations of 8 objects taken 3 at a time is 336.
The formula for PermutationThe formula to calculate the permutation of 'n' object taken 'r' at a time is [tex]P_{r}=\dfrac{n!}{(n-1)!}[/tex].
How to find the number of possible permutations?The formula for calculating the permutation is [tex]P_{r}=\dfrac{n!}{(n-r)!}[/tex] where 'n' is the number of distinct objects taken 'r' at a time.
Thus we will substitute n=8 and r=3, we will get
[tex]P_{3}=\dfrac{8!}{(8-3)!}\\P_{3}=\dfrac{8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{5!}\\P_{3}=\dfrac{8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{5\times 4\times 3\times 2\times 1}\\P_{3}=8\times 7\times 6\\P_{3}=336[/tex]
So, the number of possible permutations of 8 objects taken 3 at a time is 336.
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What’s the answer to this ??
Answer:
Option C
Step-by-step explanation:
zero's are
(2, 0) and (0, -2)
y= x-2, x<3
(3, 2) and (4,3)
y=x-1, x≥3
These are covered in Option C
The names of 5 boys and 5 girls are in a hat. What is the probability of first drawing a girl’s name and then a boy’s name from the hat?
Answer:
9/20
Step-by-step explanation:
The probability of drawing a girl's name is 0.5, since there are 5 girls in 10 kids here. If that girl's name is not replaced, then the probability of drawing a boy's name is 5/9, since there are still such names but the total number of names is now 9.
Thus, the probability of this joint event is (0.5)(9/10) = 4.5/10 = 9/20
Answer:
so drawing a girls name from the hat would be 5/10 since 5 girls are there out of 10 students in total. After, you pick the girls name the total number of student names would become 9 and since there are 5 guys, you get a 5/9 probability
Daniel, Clarence, and Matthew split a $20.20 dinner bill so that Daniel pays half of what Clarence pays. If Daniel pays $6.06, what is the ratio of Clarence's pay to Matthew's pay?
Answer:
grgrtgdegtrt
Step-by-step explanation:
etetetetrdgtfrrgdergdrg
I need help .... can y’all help me
6. C.
7. B.
8. B.
9. B.
10. C
Which expression can be used to find the sum of the polynomials? (9 – 3x2) + (–8x2 + 4x + 5)
Answer:
- 11x² + 4x + 14
Step-by-step explanation:
Given
(9 - 3x²) + (- 8x² + 4x + 5) ← distribute both parenthesis by 1
= 9 - 3x² - 8x² + 4x + 5 ← collect like terms
= - 11x² + 4x + 14 ← sum of the polynomials
Answer:
D.)[(-3x^2)+(-8x^2)]+4x+[9+5]
Step-by-step explanation:
The reason this is right is because I took the quiz.
How are the equations of a parabola, ellipse, and hyperbola created?
Answer:
ellipses and hyperbolas as a simple form has the x-axis as principal axis and the origin (0,0) as center. If it's a circle, c = 0 so a2 = b2. And for the parabola, the standard form has the focus on the x-axis at the point (a, 0) and the directrix the line with equation x = −a.
(I'm sorry I got most of this from google) :(
What is the slope of the line represented by the equation f(t)=2t-6
Answer:
The slope would be 2
Step-by-step explanation:
Your slope-intercept form is always y=mx + b
The b is always your constant
The mx is your slope
The y is your output
Answer: Slope: 2 & Y-int: -6.
Step-by-step explanation:
I will try to explain it in my own simple way for you to understand, however, I may be wrong.
The form, y=mx+b, think of f(t) as y, the 2t as m, the t as x, and the -6 as the y-intercept. Since the -6 is the opposite of +b, in the y=mx+b, it would be -6.
Hope this helped.
Since slope is calculated using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction, the slope of both lines is equivalent to ________. It is given that the lines are parallel, and we calculated that the slopes are the same. Therefore, parallel lines have the same slopes.
Answer:
The product of these slopes is [(d-b)/(c-a)] × [(c-a)/(-d+b)] = -1
Proved: This product shows that the slopes are negative reciprocals
Question:
The complete question as seen on brainly ( question ID = 13270010):
Determine the missing information in the paragraph proof.
Given: Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular. Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).
Prove: The slopes of perpendicular lines are negative reciprocals.
The slopes of lines PQ and P’Q’ can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction
The product of these slopes is ________. This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.
Step-by-step explanation:
Line PQ contains the points (a, b) and (c, d)
Line P’Q’ contains the points (–b, a) and (–d, c)
The two lines are said to be perpendicular.
For two lines are said to be perpendicular, the product of the slope of the two lines must be equal to -1.
Let's determine if it's true for this two lines.
Find attached the the diagram and explanations.
The product of these slopes is [(d-b)/(c-a)] × [(c-a)/(-d+b)] = -1
This product shows that the slopes are negative reciprocals
Answer:5
Step-by-step explanation:
What is the decimal multiplier to increase by 99%?
Answer:To work out the multiplier, first add or subtract the percentage from 100, then convert to a decimal. Example: we want to add 20% to £110. To work out the multiplier, add 20 to 100, to get 120, and then change it to a decimal (divide by 100) to get 1.2.
Step-by-step explanation:
The decimal multiplier of a number to increase by 99% will be 1.99.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
Let's consider the number x.
To increase it by 20% we need to find 20% of it so 0.20x
Now, add this 20% to x so that it will increase by 20% as,
0.20x + x = 1.20x
Thus,to increase the number by 20% we need to multiply 1.20
Similarly to increase a number by 99% we need to multiply with 1.99.
Hence "The decimal multiplier of a number to increase by 99% will be 1.99".
For more about the percentage,
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when a number,n is increassed by two and then the result is divided by five the quotient is equal to 14. write an equation and solve it to find the value of n.
Answer:
68
Step-by-step explanation:
(n+2)/5=14
n+2=14*5
n+2=70
n=70-2
n=68
Answer:
68
Step-by-step explanation:
In a gymnasium, the weights of all people come to exercise will be recorded. One day the weights of 10 people were recorded as 58 kg, 70 kg, 59.5 kg, 62 kg, 66.4 kg, 72 kg, 81.3 kg, 75 kg, 83.3 kg and 75.5 kg. How many of them weigh more than the average weight? a) 4 b)5 c) 6 d) 7
Answer:
B.
Step-by-step explanation:
Average = [tex]\frac{58 + 70+59.5+62+66.4+72+81.3+75+83.3+75.5}{10} =\frac{703}{10} =70.3[/tex]
Now find how many are greater than 70.3
72, 81.3, 75, 83.3, and 75.5
Triangle L N P has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N R, L P, and Q M. The length of line segment N S is 7 x minus 3 and the length of line segment S R is 5 x minus 3. What is the length of segment NS? 1 unit 2 units 4 units 6 units
Answer:
6 units
Step-by-step explanation:
Given: Triangle L N P has centroid S.
[tex]NS=7x-3, SR=5x-3[/tex]
To find: NS
Solution:
Centroid is the point of intersection of the medians of the triangle such that it divides each of the median in ratio [tex]2:1[/tex]
So,
[tex]NS:SR=2:1\\\frac{NS}{SR}=\frac{2}{1} \\[/tex]
Put [tex]NS=7x-3, SR=5x-3[/tex]
[tex]\frac{7x-3}{5x-3}=\frac{2}{1}\\ 7x-3=10x-6\\10x-7x=-3+6\\3x=3\\x=1[/tex]
Therefore,
[tex]NS=7x-3=7(1)-3=4\,\,units\\SR=5x-3=5(1)-3=2\,units[/tex]
So,
[tex]NS=NS+SR=4+2=6\,\,units[/tex]
Answer:
The answer is 4
Step-by-step explanation:
It asks for the length of NS not the length of NR
What is the vertical asymptote for the reciprocal of y=8x-4
Answer:
The vertical asymptote for the reciprocal of y=8x-4 is [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given Equation : [tex]y = 8x-4[/tex]
Reciprocal of given equation =[tex]\frac{1}{y}=\frac{1}{8x-4}[/tex]
Now to find the vertical asymptote
[tex]\frac{1}{y}=\frac{1}{8x-4}[/tex]
Equate denominator to 0
8x-4=0
8x=4
[tex]x=\frac{4}{8}[/tex]
[tex]x=\frac{1}{2}[/tex]
So, The vertical asymptote is[tex]\frac{1}{2}[/tex]
Hence the vertical asymptote for the reciprocal of y=8x-4 is [tex]\frac{1}{2}[/tex]
Which statement best describes f (x) = negative 2 StartRoot x minus 7 EndRoot + 1?
–6 is in the domain of f(x) but not in the range of f(x).
–6 is not in the domain of f(x) but is in the range of f(x).
–6 is in the domain of f(x) and in the range of f(x).
–6 is neither in the domain of f(x) nor in the range of f(x).
Answer:
Option B.
Step-by-step explanation:
The given function is
[tex]f(x)=-2\sqrt{x-7}+1[/tex]
The above function is defined if (x-7) is greater than 0.
[tex]x-7\geq 0[/tex]
Add 7 on both sides.
[tex]x\geq 7[/tex]
It is means domain of the function is [tex][7,\infty)[/tex]. So, -6 is not in domain.
We know that
[tex]\sqrt{x-7}\geq 0[/tex]
Multiply both sides by -2. So, the sign of inequality will change.
[tex]-2\sqrt{x-7}\leq 0[/tex]
Add 1 on both sides.
[tex]-2\sqrt{x-7}+1\leq 0+1[/tex]
[tex]f(x)\leq 1[/tex]
It is means range of the function is [tex](-\infty,1][/tex]. So, -6 is in Range.
Since –6 is not in the domain of f(x) but is in the range of f(x), therefore the correct option is B.
Answer:
B
Step-by-step explanation:
PLEASE HELP!!! this is really dependant on my final grade !
Mary is paid 7.5% commission on all of her sales. She had sales of $2300 for the month of December. How much commission did Mary make?
Answer: $172.50
Step-by-step explanation:
$2300 x 0.075 = $172.50
You can double check quickly because you know 10% of 2300 is $230, so 5% is $115. The answer is halfway between the 5% and 10% numbers, so you know it is reasonable.
how to find the distance from a velocity-time graph?
Answer:
Calculating the distance travelled
Calculate the total distance travelled by the object - its motion is represented by the velocity-time graph below.
Here, the distance travelled can be found by calculating the total area of the shaded sections below the line.
½ × base × height.
½ × 6 × 2 = 12 m 2
(10 – 6) × 2 = 8 m 2
Answer:
Calculate the total distance travelled by the object - its motion is represented by the velocity-time graph below.
Here, the distance travelled can be found by calculating the total area of the shaded sections below the line.
½ × base × height.
½ × 4 × 8 = 16 m 2
(10 – 4) × 8 = 48 m 2
Step-by-step explanation:
Can somebody help me with this ?? :)
Answer:
(-3, -4)
Step-by-step explanation:
6 units down from point F will be x: 2, y: -4
5 units left from there will be x: -3, y: -4
cos (x/2) = -sqrt2/2 in (0,360) looking for two values ?? Can someone please help me I can’t seem to figure out how to solve this problem, I’m looking at other examples but I’m still confused please help
Answer:
135° and 225°
Step-by-step explanation:
basically you want to find the value of x between 0 and 360 in this equation
cos x/2 = -(√2)/2
assume x/2 as n, so
cos n = -(√2)/2
n = 45°
then remember the quadrant system
0-90 1st quadrant, all is POSITIVE
90-180 2nd quadrant, only SIN has positive value
180 - 270 3rd quadrant, only TAN has positive value
270 -360 4th quadrant, only COS positive here.
so if you try to find negative value look into 2nd and 3rd quadrant that related 45° to x-axis (0°or 180°)
so the value of x is
180 - 45 = 135° (2nd quadrant) and
180 + 45° = 225° (3rd quadrant)
Suck at maths! HELP!
Answer:
Step-by-step explanation: you can use a protractor if you have 1 or seeing as the bottom left is 65, the bottom right will be the same, mostly a guess but half 65 and try that.
Is the real number rational or irrational? rational irrational
Answer:
rational
Step-by-step explanation:
Answer:
Rational.
Step-by-step explanation:
A real number is rational.
Simplify 3x(2x + 4y)
Answer:
[tex]6x^2+12xy[/tex]
Step-by-step explanation:
By the distributive property:
[tex]3x(2x+4y)= \\\\3x(2x)+3x(4y)=\\\\6x^2+12xy[/tex]
Hope this helps!
-7/10+7/15+1/-20+-9/10+11/15+11/-20
what is the answer please help me .....!!!!
Answer:
-1
Step-by-step explanation:
-7/10+7/15+1/-20+-9/10+11/15+11/-20
= -7/10 + -9/10 + 7/15 + 11/15 + 1/-20 + 11/-20
= -16/10 + 18/15 + 12/-20
= -8/5 + 6/5 + -3/5
= (-8+6-3)/5
= -5/5
= -1
Gisele worked as a carpenter for how many hours and worked as a blacksmith for how many hours last week? please help
Answer: She worked as a carpenter for 12 hours and a blacksmith for 18 hours.
Step-by-step explanation:
18*25 = 450
12*20 = 240
240 + 450 = 690
12 + 18 = 30.
The day after her birthday party 1/3 of Emma’s birthday cake is left is the remaining cake is shared equally among Emma her brother Owen and their mother and father what fraction of the original Kikoo each of them get
Answer:1/4
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
1/3 ÷ 4
1/3 x 1/4 = 1/12
YEAR 9 MATHS- PLEASE HELP
The shape A has been reflected on the line drawn to give shape B.
State the equation of the line.
Answer:
y=2
Step-by-step explanation:
since the line is horizontal, on the point 2 on the y axis, the equation is 2. If, however the line were to be diagonal, it would have been different, as would it if the line were vertical(in which case, the equated would start x =)
Hope this helps
Answer: y =2
Step-by-step explanation:
Four different positive integers have a product of 110.
What is the sum of the four integers?
Answer:32.09
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
To Find Out What are the four Positive Integers, Let's Prime Factorize 110:
110 = 1 × 2 × 5× 11
This means these are the four positive integers by multiplying which results in 110.
Now, The sum of these integers:
=> 1+2+5+11
=> 19