Answer:
65 degrees
Step-by-step explanation:
1) Find the value of x
The sum of all the interior angles of a triangle is always 180 degrees. Knowing this, we can construct the following equation:
\((2x-5)+(115-x)+x=180\)
Open up the parentheses
\(2x-5+115-x+x=180\)
The two x's cancel out
\(2x-5+115=180\\2x+110=180\)
Subtract 110 from both sides
\(2x+110-110=180-110\\2x=70\)
Divide both sides by 2
\(2x/2=70/2\\x=35\)
Therefore, x is equal to 35.
2) Find the value of <C
\(C=2x-5\)
Plug 35 into the equation as x
\(C=2(35)-5\\C=70-5\\C=65\)
Therefore, the value of angle C is 65 degrees.
I hope this helps!
-12x²-5x-7x²+6+13x simplify
Answer:
-19\(x^{2}\) + 8x + 6
Step-by-step explanation:
−12\(x^{2}\)−5x−7\(x^{2}\)+6+13x
= −12\(x^{2}\)−7\(x^{2}\)+13x-5x+6
= -19\(x^{2}\) + 8x + 6
In terms of x, what are the dimensions of a rectangle whose area is represented by the
expression 49x2 - 16?
Please help
Consider the line y=-3/5x+3
Find the equation of the line that is perpendicular to this line and passes through the point (5, -4).
Find the equation of the line that is parallel to this line and passes through the point (5, -4).
Answer:
its 5,0
Step-by-step explanation:
i took the test
I NEED ANSWER SUPER BAD PLEASE!!!!!!!!!!!What is the greatest integer less than 100 for which the greatest common divisor of that integer and 12 is 4?
Answer:
92
Step-by-step explanation:
We will list out the numbers which are factors of 12. They include:
1, 2, 3, 4, 6, 12.
We need to get the highest number that has its greatest factor to be 4. It means that 6 and 12 cannot divide it.
To do this, we will write out the multiples of 4. They include:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88,92,96.
We will have to choose the highest number which only 4 can divide and 6 and 12 cannot divide.
Since we are looking for the largest, We can try dividing all the numbers by 4, 6, and 12 starting from 96.
We will quickly see that 4 can divide 92 but 6 and 12 cannot.
This gives us 92 as the answer.
Answer:
92
Step-by-step explanation:
Which linear equation would produce a y-intercept of left parenthesis 0 comma 3 right parenthesis and a slope of short dash 2?
Answer:
y= -2x+3
Step-by-step explanation:
In the slope intercept form y = mx + b, m is the slope and b is the y-coordinate of the y-intercept. Using the given information above, m is -2 and b is 3, so the equation is y = -2x + 3.
4,7,14,49, next number is what
Plz help due tomorrow iff correct ill give brailiest
Help please urgent thanks
Answer:
The answer is 2/10 and 2/10
(A)
Find the measurement of m
The measure of the inscribed angle G in the circle is 85 degree.
What is the measure of angle G?An inscribed angle is simply an angle with its vertex on the circle and whose sides are chords.
The relationhip between an an inscribed angle and intercepted arc is expressed as:
Inscribed angle = 1/2 × intercepted arc.
Since the circle equals 360 degrees, we can determine the intercepted arc DF.
Hence:
Arc DF = 360 - ( 70 + 120 )
Arc DF = 360 - 190
Arc DF = 170°
Now, plug the value into the above formula:
Inscribed angle = 1/2 × intercepted arc.
Inscribed angle G = 1/2 × 170°
Inscribed angle G = 85°
Therefore, angle G has a measure of 85 degree.
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We want to evaluate dog owners’ reactions to a new dog food product formulation that contains more vegetables. A promotional booth is set up at 10 dog events around the country. We distribute a one-day sample of the new more-vegetable formula to dog owners who come by the booth. If dog owners also provide their e-mail, they will be emailed a 20% off coupon for their first purchase. We measure the effectiveness of the more-vegetable formula by the number of coupons that are used to make purchases in stores. This is an example of an experiment designed to assess a ______ asymmetrical causal relationship.
Answer:
Inherently asymmetrical casual relationship.
Step-by-step explanation:
The dog owners are given free dog food samples which contain new vegetables. These samples are given to them by organizing booths at the dog events. The reaction of the dog owners is observed towards this new dog food. This an example of inherently asymmetrical relationship.
PLZ PLZ HELP ME I NEED THIS FOR ONE OF MY FIANLE ASSIGNMENTS OF THE YEAR AND WHOEVER ANSWERS CORRECTLY WILL GET BRAINLEST
5×4=20 is closer to 24.9344.
\(487 \times 512=24.9344\)
Let's try placing the decimals after the hundreds place.
\(4.87 \times 5.12=24.9344\)
It works.
There is more than one possibility.
\(.487 \times 51.2=24.9344\)
\(48.7 \times .512=24.9344\)
Helen is preparing candy bags for the children at a party. she has 12 flavors of lollipops, 4 types of candy bars, and 6 flavors of chewy candies. if each bag contains 1 piece of each kind of candy, what is the total number of possible candy combinations for the bags?
Please help me I don’t understand and can you tell me how you got the answer
Answer:
9
Step-by-step explanation:
to find the whole number of this fraction all you have to do is do the top number divided by the bottom so... 36 ÷ 4 = 9 and we get 9 Hopefully that helps!
Todd noticed that the gym he runs seems less crowded during the summer. He decided to look at customer data to see if his impression was correct.
Week
5/27 to 6/2
6/3 to 6/9
6/10 to 6/16
6/17 to 6/23
6/24 to 6/30
7/1 to 7/7
Use
618 people
624 people
618 people
600 people
570 people
528 people
A: What is the quadratic equation that models this data? Write the equation in vertex form.
B: Use your model to predict how many people Todd should expect at his gym during the week of July 15.
Todd should expect_______people.
Todd should expect approximately 624 people at his gym during the week of July 15.
A: To find the quadratic equation that models the data, we can use the vertex form of a quadratic equation:
\(y = a(x - h)^2 + k\) where (h, k) represents the vertex of the parabola.
Let's analyze the data to determine the vertex. We observe that the number of people is highest during the first week and gradually decreases over the following weeks.
This suggests a downward-opening parabola.
From the data, the highest point occurs during the week of 6/3 to 6/9 with 624 people.
Therefore, the vertex is located at (6/3 to 6/9, 624).
Using the vertex form, we have:
\(y = a(x - 6/3 to 6/9)^2 + 624\)
Now, we need to find the value of 'a.'
To do this, we can substitute any other point and solve for 'a.' Let's use the data from the week of 5/27 to 6/2:
\(618 = a(5/27 to 6/2 - 6/3 to 6/9)^2 + 624\)
Simplifying the equation and solving for 'a,' we find:
\(618 - 624 = a(-6/3)^2\)
-6 = 4a
a = -3/2
Therefore, the quadratic equation in vertex form that models the data is:
\(y = (-3/2)(x - 6/3 to 6/9)^2 + 624\)
B: To predict the number of people Todd should expect during the week of July 15, we substitute x = 7/15 into the equation and solve for y:
\(y = (-3/2)(7/15 - 6/3 to 6/9)^2 + 624\)
Simplifying the equation, we find:
\(y = (-3/2)(1/15)^2 + 624\)
y = (-3/2)(1/225) + 624
y = -3/450 + 624
y = -1/150 + 624
y = 623.993
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What is the slope of the line shown below?
(1,6) (-5,-7)
A. 13/6
B. -13/6
C. -6/13
D. 6/13
\((\stackrel{x_1}{1}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{-7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-7}-\stackrel{y1}{6}}}{\underset{\textit{\large run}} {\underset{x_2}{-5}-\underset{x_1}{1}}} \implies \cfrac{ -13 }{ -6 } \implies \cfrac{13 }{ 6 }\)
A straight boardwalk is being built over a
circular wetlands area, so that it divides
the area in half. A hiking path goes around
the outside. The boardwalk is 50 m long.
How long is the hiking path that goes
around the wetlands?
Answer:
157 if youre going by 3.14
157.08 if youre going by π
Step-by-step explanation:
you want to find the circumference
circumference is 2πr
the radius id 50/2=25, because radius is half of the diameter (the diameter is the length across a circle
2 * 3.141 * 25 = 157
The length of the path that goes around the outside of the circle stands at 157.08 meters.
What is a circle?A circle stands as a curve traced out by a point moving in a plane so that its distance from a given point exists constant; alternatively, it stands for the shape created by all points in a plane that exists at a set distance from a given point, the center.
Given that the boardwalk divides the circle area into two halves, and exists straight with a length of 50 meters. Thus, the straight Boardwalk exists within the length of the diameter of the circle.
Now, the perimeter of the circle exists the length of the path that goes around the outside.
Thus, the perimeter of the circle stands,
Perimeter = π × Diameter
= π × 50 meters
= 157.07963 meters ≈ 157.08 meters
Thus, the length of the path that goes around the outside of the circle exists 157.08 meters.
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20 POINTS AND I WILL MARK YOU BRAINLIEST !!!
the london ferris wheel has a maximum height of 443 ft and a diameter of 394 ft . the wheel takes 30 mins to rotate
#1. what is the minimum height of the ferris wheel ?
94 , 85 , 49 , or 40
#2. where would the midline of the graph be ?
y=246 , y=221.5 , or y=197
#3. what is the amplitude of the graph ?
246 ft , 221.5 ft , or 197 ft
#4. what is the period of the function ?
15 , 30 , or 60 minutes
Step-by-step explanation:
#1 . the minimum height =
443 - 394 = 49 ft
#2. y = (394/2) + 49 = 197+49
=> y =246
#3. the amplitude is ½× diameter
= ½×394 = 197 ft
#4. the period of function is
the time that the wheel takes
one rotation =>30 minutes
Suppose that a scarf company estimates that its monthly cost is
C(a)=500x2 + 300 and its monthly revenue is
R(x) = -0.523 +6002-200+300, where x is in thousands of
scarves sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
The profit function is P(x) = -500.523x^2 + 600x - 200.
To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).
Given:
Cost function: C(a) = 500x^2 + 300
Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300
Profit function, P(x), is obtained by subtracting the cost function from the revenue function:
P(x) = R(x) - C(a)
P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)
Simplifying the expression:
P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300
P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300
P(x) = -500x^2 - 0.523x^2 + 600x - 200
Combining like terms:
P(x) = (-500 - 0.523)x^2 + 600x - 200
Simplifying further:
P(x) = -500.523x^2 + 600x - 200
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A triangle ABC has coordinates for A (-4, 1).
Triangle A'B'C' has coordinates for A' (0-3)
What is the translation?
How many units right or left and how many units up or down?
Choose the best answer from the options below:
A
B
C
D
4 right, 4 down
4 left, 4 up
You have 1 hour to answer this question or you will be logged out.
4 left, 4 down
4 right, 4 up
The solution is Option A.
The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down
What is Translation?A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
Given data ,
Let the coordinate of the triangle be represented as A
Now , the coordinate A = A ( -4 , 1 )
Now , the coordinate of the triangle after translation is A' ( 0 , -3 )
when there is a translation of the coordinate A by 4 units to the right , we get
A to 4 units right = A ( -4 + 4 , 1 )
The new coordinate of A = A ( 0 , 1 )
Now , A to 4 units down , we get
The coordinate of A' = A' ( 0 , 1 - 4 )
The coordinate of A' = A' ( 0 , -3 )
Hence , the translated coordinate is A' ( 0 , -3 )
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20. You owe $1,568.00 on a credit card with a limit of $2,200.00 at an interest rate of 11.3% APR. You pay $300.00/month until it is paid off. How many months does it take you to pay it off?
- 6 months
- 9 months
- 4 months
- 7 months
Answer:
(a) 6 months
Step-by-step explanation:
The formula for figuring the monthly payment on an amortized loan can be used for finding the length of time it takes to pay off the loan.
That formula is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where A is the monthly payment, P is the principal value of the loan, r is the annual interest rate, and t is the number of years.
__
Using the given information, we can solve for t:
300 = 1568(0.113/12)/(1 -(1 +0.113/12)^(-12t))
1 -(1 +0.113/12)^(-12t) = 1568(0.113)/(12(300))
(1 +0.113/12)^(-12t) = 1 -(1568·0.113)/(12·300) ≈ 0.950782
Taking logs, we get ...
-12t·log(1 +0.113/12) = log(0.950782)
t = log(0.950782)/(-12·log(1 +0.113/12)) ≈ 0.448739 . . . . years
This fraction of a year is ...
(12 months/year)(0.448739 years) = 5.38 months
It will take you 6 months to pay off the loan.
1.
If the measures of three angles of a quadrilateral
are 30, 70, and 110, find the measure of the fourth
angle.
Answer:
150
Step-by-step explanation:
The sum of the angles of a quadrilateral are 360. Let x be the unknown angle
30+70+110+x = 360
Combine like terms
210 +x = 360
Subtract 210 from each side
210+x-210 = 360-210
x = 150
Answer:
The measures of the fourth angle is 150 .
Step-by-step explanation:
Given :-The measures of three angles of quadrilateral are 30 , 70 and 110.
To find :-Find the measures of fourth angle.
Solution :-Let, the measures of fourth angle be x.
We know that sum angles of quadrilateral are 360 .
30 + 70 + 110 + x = 360
combine like terms
210 + x = 360
subtract 210 from 360.
x = 360 - 210
x = 150
Therefore, the fourth angle of quadrilateral is 150.
HELP ME PLEASE
I NEED HELP ASAP
IF IM ABLE TO GIVE OUT BRAINLIST THEN I WILL GIVE IT
The manager can find the volume of the container using the formula lwh. The employee correctly determines that the container can be filled with 3 layers of 21. He can find the volume of the container by multiplying the number of bento boxes that fill the container by the volume of one bento box. The volume found by using the formula is equal to the volume of the total numberof bento boxes in the container.
How to calculate the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:
Volume of a rectangular prism = LWH
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.Part a.
Therefore, the manager can use the following formula;
Volume of container = LWH
Volume of container = 7/2 × 3/2 × 3/2
Volume of container = 63/8 cm³.
Part b.
For the number of bento boxes that can fill the container, we have:
Number of bento boxes = Volume of container/Volume of bento boxes
Number of bento boxes = 63/8/(1/2)³
Number of bento boxes = 63/8/1/8
Number of bento boxes = 63/8 × 8
Number of bento boxes = 63 bento boxes = 3 layers × 21.
Part d.
Volume of container = Volume of bento boxes
63/8 cm³ = 63 × 1/8 cm³
63/8 cm³ = 63/8 cm³ (equal).
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Find the value of x. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
9. sin 18 = x/21
x = 21* sin 18
x = 6.5
10. tan 55 = 29/x
x* tan 55 = 29
x = 29/tan 55
x = 20.3
11. sin 23 = x/25
x = 25 * sin 23
x = 9.8
12. sin 47 = 33/x
x * sin 47 = 33
x = 33/sin 47
x = 45.1
The sum of two numbers is 41. One number is 1 less than the other.
Answer:
s must be 21 and r is 20
Step-by-step explanation:
Represent the two numbers using variables r and s.
Then r + s = 41, and r = s - 1
Substituting the 2nd equation for r into the first equation, we get:
s - 1 + s = 41, or 2s = 42. Then s must be 21 and r is 20.
The diameter of a circle is 33 cm. Find its area to the nearest whole number.
Answer:
⇒855cm²
Step-by-step explanation:
→Solution,
Diameter(d)=33cm
Radius(r)=d/2=33cm/2=16.5cm
Now,
Area=πr²
Area=3.14×(16.5cm)²
Area=854.865cm²=855cm²
how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly
The interest is 16% compounded semi-annually, is Rs. 121,179.10.
To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.
Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)
So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:
Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.
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Polly had 5 times as many red balloons as many red balloons as blue ones. She had 18 all together. How many of her balloons were blue ones?
Answer: 3 were blue
Step-by-step explanation:
Blue + Red = 18....so.....
B + 5B = 18
6B = 18
B =18 / 6 = 3 blue
A deck of cards contains
52 cards. two decks
are put together, how
many cards will be left
over if 7 people divide
them evenly?
Answer:
6
Step-by-step explanation:
52+52=104
104/7=14.8
7*14=98
104-98=6
Find the indicated probability. Round to three decimal places.
A car insurance company has determined that 7% of all drivers were involved in a car accident last year. Among the 19 drivers
living on one particular street, 4 were involved in a car accident last year. If 19 drivers are randomly selected, what is the
probability of getting 4 or more who were involved in a car accident last year? (Hint: use binomial probability).
Answer:
explanation below
Step-by-step explanation:
so in order for all 19 drivers to not be in a car accident the probability is
.93 ^ 14 which is around 0.362,
next for 18 of the drivers no accident its
.93^13 x .07 x 19 = around .518
for 17 drivers,
.93^12 x .07^2 x 171 = around .350
for 16 drivers,
so on and you can do the rest
△ABC and △DEF are similar triangles.
Answer:
AAA the angels of two triangles are equal