Answer:
121
Step-by-step explanation:
Angles on a line add up to 180.
180 - 115 = 65
Angles in a circle add up to 360 degrees.
360 - 304 = 56
Angles in a triangle add up to 180 degrees.
180 - 56 - 65 = 59
Angles on a line add up to 180 degrees.
180 - 59 = 121
Following are the calculation to the angle:
Given:
Please find the given question.
To find:
angle=?
Solution:
The sum of all the angles on a line is 180.
[tex]\to 180^{\circ} - 115^{\circ} = 65^{\circ}[/tex]
A circle's angles sum up to [tex]360^{\circ}[/tex]
[tex]\to 360^{\circ} - 304^{\circ} = 56^{\circ}[/tex]
The triangle's angles sum up to [tex]180^{\circ}[/tex].
[tex]\to 180^{\circ} - 56^{\circ} - 65^{\circ}= 59^{\circ}[/tex]
The line's angles sum up to [tex]180^{\circ}[/tex].
[tex]\to 180^{\circ} - 59^{\circ} = 121^{\circ}[/tex]
Therefore, the final answer is "[tex]121^{\circ}[/tex].."
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What's the correct answer to both of these?
Answer:
See explanation.
Step-by-step explanation:
1) The correct answer is B.
2) The correct answer is D.
To find the answer, plug the equations into Desmos.
If this helped, please mark Brainliest :D
Which of these is the statement of zero product rule?
Answer:A
Step-by-step explanation: if a•b=0 then either a=0 or b=0 or both
The statement of the zero product rule is if a•b=0 then either a=0 or b=0 or both.
We have given that the statements
if a•b=0 then either a=0 or b=0 or both
if a•b=0 then a=0 or b=0.
if a•b=0 then either a=0 or b=0 but not both
if a•b=0 then a=0.
We have to find the statement of zero divisors,
What is the statement of zero divisors?If R is a ring other than the zero ring, then 0 is a (two-sided) zero divisor, because any nonzero element x satisfies 0a = 0 = a0.
Then the zero product is defined as,
The zero product property states that if a⋅b=0 then either a or b equal zero
Therefore option A is correct.
if a•b=0 then either a=0 or b=0 or both.
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******BRAINLIEST IF ANSWERED****** Which equation can be used to find the measure of angle BAC? * inverse tan(5/12) inverse cos(5/13) inverse sin(12/5) inverse tan(12/13)
Answer:
[tex]cos^{-1}(\frac{5}{13} )[/tex]
Step-by-step explanation:
We can see that x is at ∠A.
To find x:
cosx° = 5/13
x = cos^-1(5/13)
sinx° = 12/13
x = sin^-1(12/13)
tanx° = 12/5
x = tan^-1(12/5)
Out of our answer choices, the only one that fits is the inverse cos(5/13).
Answer:
inverse cos 5/13
Step-by-step explanation:
i took the quiz
1) Expand the following expressions
(a) 2(x + 6)
Answer:
2x + (2 × 6)
since we are expanding, we represent 2 multiplying to every expression in the given parentheses
Answer:
2x+12
Step-by-step explanation:
2(x + 6)
Distribute
2*x + 2*6
2x+12
Find the slope of the line that passes through:
(-2,-5) and (8, -11)
Answer:
Slope= [tex]\frac{-3}{5}[/tex]
Step-by-step explanation:
(-2 , -5) ; (8,-11)
[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-11-[-5]}{8-[-2]}\\\\=\frac{-11+5}{8+2}\\\\=\frac{-6}{10}\\\\=\frac{-3}{5}[/tex]
Which set of steps shows the solution to the equation 3y = -9?
Oy=-9-3; y = 6
Oy=-9 = 3; y = -3
Oy= -9 +(-3); y = 3
Oy = -9 -(-3); y = -6
Answer:
see below
Step-by-step explanation:
3y = -9
Divide each side by 3
3y/3 = -9/3
y = -3
what expressions are equivalent to 4d+6+2d
Answer:
6d+6 is the correct answer
Step-by-step explanation:
Nadine sold two kinds of tickets to her class play. Student tickets cost $3 each, and adult tickets cost $5.50 each. If Nadine sold a total of 25 tickets for $90, how many student tickets did she sell?
Answer:
19 tickets
Step-by-step explanation:
Nadine sold two kinds of tickets to her class play
The student tickets cost $3
Adult tickets cost $5.50
Nadine sold a total of 25 tickets for $90
We are required to find the number of students tickets that were sold
Let x represent the number of tickets sold to students
Let y represent the number of tickets sold to adults
x + y= 25
x= 25-y..........equation 1
Since the total cost of the ticket is $90
3x + 5.50y=90..........equation 2
Substitute 25-y for x in equation 2
3(25-y) + 5.50y= 90
75-3y+5.50y= 90
75+2.5y= 90
Collect the like terms
2.5y= 90-75
2.5y=15
Divide both sides by 2.5
2.5y/2.5=15/2.5
y= 6
Substitute 6 for y in equation 1
x= 25-y
x= 25-6
x= 19
Hence Nadine sold 19 student tickets
The graphs show the distances traveled by two people walking at constant rates. Drag to the table the unit rate that matches each graph.
Answer:
from left: 220, 177
Step-by-step explanation:
unit rate = first derivative = slope
first graph;
slope = (880-660)/(4-3) = 220 ft/min
2nd graph;
slope = (177-0)/(1-0) = 177 ft/min
What is 45% as a fraction in simplest form
⇒Answer:
[tex]\frac{9}{20}[/tex]
⇒Step-by-step explanation:
Well 45% is saying it is 45% out of 100,
So we can make the following fraction
45/100
Then we simplify by dividing 45 and 100 by 5
Hence, the answer is [tex]\frac{9}{20}[/tex]
Which equation can be used to find the measure of angle BAC? A.) inverse tan (5/12) B.) inverse cos (5/13) C.) inverse sin (12/5) D.) inverse tan (12/13)
Answer:
B
Step-by-step explanation:
The angle that has tan 5 / 12 is ∠ABC so A is not the answer. The angle that has cos 5 / 13 is ∠BAC so B is the answer.
Can someone help me with 1,2,3 I don’t know how to do this
Answer:
Step-by-step explanation:
1: 0.75
2: 0.166
3: 0.466
4: 0.66
Sorry if anyone of these are wrong
Answer:
3/4=0.75
1/6=0.16666667
7/15=0.46666667
13/20=0.65
Step-by-step explanation:
You can use the 'division house' to get the answer. The denominator is always out, and the numerator always inside.
Hope this helps ;) ❤❤❤
Problem: \ The yellow portion of a circle represents 35%: How many degrees are in the angle formed by the edges of the yellow region?
Answer:
126°
Step-by-step explanation:
Given that the yellow portion covers 35% of the circle, the degree formed by its edges can be calculated as follows:
The degree of a full circle = 360°
To find the degree formed by the edges of the yellow region, we would calculate 35% of 360°:
[tex] \frac{35}{100}*360 [/tex]
[tex] \frac{35*360}{100} [/tex]
[tex] \frac{12600}{100} [/tex]
[tex] \frac{126}{1} [/tex]
[tex] 126 [/tex]
126° is formed by the edges of the yellow region.
PLEASE HELP ME WITH THESE QUESTIONS
Answer:
hope its wht u require....
Factored completely, the expression 2y^2 + 12y-54 is equivalent to
a. 2(y + 9)(y - 3)
b. 2(y - 3)(y-9)
c. (y+ 6)(2y - 9)
d. (2y + 6)(y-9)
To steam rice, Paul uses m cups of water for every p
cups of rice. In terms of m and p, how many cups of
water are needed to steam p + 2 cups of rice?
Answer:
[tex]\frac{(p + 2)m}{p}[/tex]
Step-by-step explanation:
Given
m cups of water = p cups of rice
Required
Cups of water required for p + 2 cups of rice
The question shows a direct proportion between cups of rice and cups of water.
So, the first step is to get the proportionality constant (k)
This is calculated using the following expression;
[tex]m = k * p[/tex]
Where k represents cups of water and p represents cups of rice
Make k the subject of formula
[tex]k = \frac{m}{p}[/tex]
Let x represents cups of water when cups of rice becomes p + 2;
k becomes:
[tex]k = \frac{x}{p + 2}[/tex]
Equate both expressions of k; to give
[tex]\frac{m}{p} = \frac{x}{p + 2}[/tex]
Multiply both sides by p + 2
[tex](p + 2) * \frac{m}{p} =(p + 2) * \frac{x}{p + 2}[/tex]
[tex](p + 2) * \frac{m}{p} =x[/tex]
[tex]x = (p + 2) * \frac{m}{p}[/tex]
[tex]x = \frac{(p + 2)m}{p}[/tex]
Hence, the expression that represents the cups of water needed is [tex]\frac{(p + 2)m}{p}[/tex]
wats the domain and range of [1,3] , [-2,7] ,[ 3 ,-3 ], [4,5] , [1,-3]
Answer:
Domain={-2,1,3,4}Range={-3,3,5,7}Explanation:
Domain and Range:Let R be a relation from A to B.Then the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the range.
Hope this helps...
Good luck on your assignment..
A scale model of a bicycle has a scale of 1 : 10. The real bicycle has a length of 1.6 m. What is the length of the model in cm?
Answer:
16 cm
Step-by-step explanation:
1.6 m = 160 cm
Model length = 160 / 10 = 16 cm
Answer:
160 cm
Step-by-step explanation:
1 : 10
1.6 : x
Cross multiply.
1 × x = 10 × 1.6
x = 160
What is the answer to 15a + 9 =
Answer:
[tex]a=-\frac{3}{5}[/tex]
Step-by-step explanation:
[tex]15a-9=0\\\\15a=-9\\\\a=-\frac{9}{15} \\\\a=-\frac{3}{5}[/tex]
Answer:
Step-by-step explanation:
Use distributive property
15a + 9 = 3*5*a + 3*3
= 3 (5a + 3)
Please urgently please❤️ Please help
Answer:
6. E
7. D
8. 5,-8,34
Step-by-step explanation:
A. Parallel to the y-axis and passes through the point (3,5)
For it to be parallel to the y-axis, what this means is that it has an x-intercept and no y intercept.
So what this means is that x = 3 is our line so E is correct
B. Perpendicular to the y-axis means it is parallel to the x-axis
It means is has no x intercept and thus its x value at any point in time is zero
So the equation is y = -5
or simply y + 5 = 0 which means D is correct
C. It is parallel to the line 5x -8y + 12 = 0
Thus: 8y = 5x + 12
dividing both sides by 8
y = 5x/8 + 12/8
y = 5x/8 + 3/2
y = 5x/8 + 1.5
Comparing this with the general equation of a straight line ;
y = mx + c
where m is that slope, this means that 5/8 is the slope of the line
Mathematically if two lines are parallel, they have equal slopes.
So we can say the slope of the other line too is 5/8
Now to find the equation of the other line, we can use the point-slope method
y-y1 = m(x-x1)
where (x1,y1) in this case is (-2,3)
So we have;
y-3 = m(x-(-2))
y-3 = 5/8 (x + 2)
8(y-3) = 5(x + 2)
8y -24 = 5x + 10
5x + 10 + 24 -8y = 0
5x -8y + 34 = 0
So A, B, C = 5, -8, 34
The distance, y, in centimeters, of an ant from a hole in the tree for a certain amount of time, x, in seconds, is shown in the graph, photo above
Part A: Is the graph linear or nonlinear? Explain your answer. (2 points)
Part B: In which segments is the graph increasing, decreasing, and constant? (3 points)
Part C: In your own words, describe the motion of the ant, as shown on the graph (6 points)
Answer:
a. The graph is non-linear. If the graph was linear, it would be one continuous straight line.
b. The graph is increasing from x = 0 to x = 2, constant at x = 2 to x = 3, and decreasing from x = 3 to x = 5. So, [0, 2) is increasing, [2, 3) is constant, and [3, 5] is decreasing.
c. The ant starts to travel 6 cm away from the nest for 2 seconds. Between 2 to 3 seconds, it stays the same distance away. Then, after 3 seconds, it comes back to the base. At 5 seconds, it has returned.
Step-by-step explanation:
Answer:
Part A: it is linear because it is not curving and it consists of straight lines.
Part B: in side A it is increasing because it has a positive slope. In side b it is constant because the slope is 0 since it is straight. Finally, side C is decreasing because the slope is negative.
Part C: during side A the ant is crawling out of the hole in 2 seconds. After that, the ant stops for 2 more seconds as shown in side B. Then, he crawls back into the hole as shown by the decrease in distance due to the slope.
Step-by-step explanation:
please help i was struggling
Answer:
slope is 2 y intercept 7
Step-by-step explanation:
The y intercept is the value when x =0
(0,7) means the y intercept is 7
We can find the slope using
m = (y2-y1)/(x2-x1)
m = ( 11-9)/(2-1)
= 2/1
= 2
HELP PLZZZZZZZZZZZ!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
sohcahtoa for right triangles
Answer:
No, because triangle XYZ is not a right triangle
Step-by-step explanation:
Since this is not a right triangle, we cannot use trig functions
Mr. Hughes has contributed $4000.00 per year for the last ten years into a RRSP account earning 9.00% compounded annually. Suppose he leaves the accumulated contributions for another five years in the RRSP at the same rate of interest. A) How much will Mr. Hughes have in total in his RRSP account? B) How much did Mr. Hughes contribute? C) How much will be interest?
Answer:
A) $93,504.818
B) $40,000
C) $53,504.818
Step-by-step explanation:
Yearly contribution ( periodic payment) = $4000
Period (p) = 10years
Additional period(y) = 5years
Annual interest(r) = 9% = 0.09
Future value (FV) =
periodic payment [(1 + r)^y - 1] / r
4000 [(1 + 0.09)^10 - 1 / 0.09]
4000[1.09^10 - 1 / 0.09]
4000[1.3673636 / 0.09]
4000(15.192929)
= 60771.716
If left for five more years:
FV = 60771.716(1 + r)^n
FV = 60771.716(1 + 0.09)^5
FV = 60771.716(1.09)^5
FV = 60771.716(1.5386239549)
FV = $93,504.818
B) MR. HUGHES CONTRIBUTION :
Periodic payment × p ; $4000 was deposited annually for 10 years.
$4000 × 10 = $40,000
C) Interest = Future value - contribution
$93,504.818 - $40,000
= $53,504.818
ONE MORE AND UR DONE FOR THE DAY TO HELP MEEEE I THINK LOL OK SORRY FOR DOING CAP LETTERS IM JUST VERY HYPER CAUSE I HAD ICE CREAM AND SWEETS AND CANDY ETC! SOOOO YEAHHHHHHH HAHHAHAHAHHAHA PLS ANSWER THIS AND PLS DO NOT LOOK IT UP :/ THANK YOUUUUUUUUUU !
Answer:
Hey there!
A proportional relationship would be a straight line, and this line clearly is not. Thus, this is not a proportional relationship.
Hope this helps :)
Answer:
no
Step-by-step explanation:
Without diving in the calculations you can notice that the line isn't straight so this is not a proprtional relationship
Which of the following is the sum of the slopes of the line 3x+y=1 and a line perpendicular to this line? A 0 B 13 C −83 D −6
Answer:
-8/3
Step-by-step explanation:
First find the slope of the line
3x+y = 1
Solve for y
y = -3x+1
This is in slope intercept form
y = mx+b where m is the slope
The slope is -3
The slopes of perpendicular lines multiply to -1
m* -3 = -1
m = 1/3
The line perpendicular has a slope of 1 / (3) = 1/3
The sum is -3 + 1/3
-9/2 + 1/3 = -8/3
If the equation below is solved by graphing, which statement is true? log (6 x + 10) = log Subscript one-half x Answer choices: The curves intersect at approximately x = 0.46. The curves intersect at approximately x = 0.75. The curves intersect at approximately x = 1.11. The curves intersect at approximately x = 3.07.
Answer:
Option A -- 0.46
Step-by-step explanation:
The answer is the x-coordinate of the point of intersection, which is 0.46
The true statement about the equation when it's solved by graphing is A. The curves intersect at approximately x = 0.46.
How to solve the equation?From the information given, the equation is given as log(6x + 10) = log 1/2x
In this case, we have both sides log function. Therefore, y1 = log(6x + 10) while y2 = log 1/2x.
By using graphing, it can be deduced that one will draw both graph on the same coordinate place.
From the graph, y1 and y2 simply intersect at point (0.46,1.12)
Therefore, the curve intersect at approximately x=0.46.
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Translate into an algebraic expressions: b is decreased by 40% and decreased again by 40% . What is the result ?
Answer:
Result = 9b/25 or 36b/100
Step-by-step explanation:
The number is b
step 1
b is decreased by 40%
value of 40% of b = 40/100 *b = 4b/10
New value after this change = b - 40% decreased value of b = b -4b/10
= (10b-4b)/10 = 6b/10
Step 2 The new value obtained is again decreased by 40%
value of 40% number found in step 1 = 40% of value found in step 1
value of 40% number found in step 1 = 40/100 * 6b/10 = 24b/100
This value (24b/100) is subtracted from value found in step 1(6b/10) as given that value obtained is decreased by 40%
new value found after 40% decrease = 6b/10 - 24b/100
new value found after 40% decrease = 60b/100 - 24b/100= 36b/100
new value found after 40% decrease = 36b/100 = 9b/25
Thus, the result of b is decreased by 40% and decreased again by 40% is 9b/25
*remember to always be nice!
Have an outstanding day
The final Result is 36x/25
What is Algebra?Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division.
Algebraic ExpressionsAn algebraic expression in algebra is formed using integer constants, variables, and basic arithmetic operations of addition(+), subtraction(-), multiplication(×), and division(/). An example of an algebraic expression is 5x + 6. Here 5 and 6 are fixed numbers and x is a variable.
Given:
let the number be x
x is decreased by 40%
40% of x = 40/100 * x = 4x/10
After decreasing
= x- 4x/10
=6x/10
Again decreasing 40%
Then , the value will be
= 6x/10- 0.4*6x/10
=6x/10- 02.4x/10
= 3.6x/10
= 36x / 100
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If f(x) = 4^x - 8 and g(x) = 5x + 6, find (f - g)(x).
A. (f-g)(x) = 4^x +5x -2
B. (f-g)(x) = -4^x +5x +14
C. (f-g)(x) = 4^x -5x -14
D. (f-g)(x) = -x -14
Answer:
C. 4^x - 5x - 14.
Step-by-step explanation:
(f - g) x
= 4^x - 8 - (5x + 6)
= 4^x - 5x - 8 - 6
= 4^x - 5x - 14.
x+x/7 + 1/11 (x + x/7) = 60
Answer:
X= 48.125
Step-by-step explanation: