Answers
First you have to find angle 1
angle 1 and angle 4 are supplementary meaning they add to 180
angle 1 + angle 4 = 180
angle 1 + 150 = 180
angle 1 = 30
The angles in a triangle always add up to 180
angle 1 + angle 2 + angle 3 = 180
30 + 40 + angle 3 = 180
70 + angle 3 = 180
angle 3 = 110
The answer is 110°
Hope this helps!
The answer is 110° Hope this helps!
Related Questions
How do I do this ??
Answers
-4x^2 *-7 = +28x^2
So since you can’t add them together the answer is the second one
Given the two expressions shown below:
A. \sqrt{3} +\sqrt{2}
B. \sqrt{3} +\sqrt{6}
Which statement best describes the two expressions?
Both are rational.
Both are irrational.
A is rational, but B is irrational.
A is irrational, but B is rational.
Answers
Answer: Both are irrational.
One maid can clean the house in 3 hours. Another maid can do the job in 6 hours. How long will it take them to do the job working together?
Answers
The number of hours if they worked the job together will be 2 hours.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
One maid can clean the house in 3 hours. Another maid can do the job in 6 hours.
We know that work and time are inversely proportional to each other.
Let T be the total time taken. Then the equation will be
1/T = 1/3 + 1/6
1/T = (2 + 1) / 6
1/T = 3 / 6
T = 6 / 3
T = 2
The number of hours if they worked the job together will be 2 hours.
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HELP!!! - The lunch special at a diner is a bowl of soup with either a salad or a sandwich. The diner offers chicken noodle, potato, or lentil soup as part of the special. Which statement best describes how this tree diagram represents the number of different ways the lunch special can be ordered?
A: The diagram is flawed because it should show there are four different ways the special can be ordered.
B: The diagram is flawed because it should show there are five different ways the special can be ordered.
C: The diagram models the situation correctly, and it shows there are six different ways the special can be ordered.
D: The diagram models the situation correctly, and it shows there are nine different ways the special can be ordered.
Answers
The correct answer is C) The diagram models the situation correctly, and it shows there are six different ways the special can be ordered.
Answer:
C: The diagram models the situation correctly, and it shows there are six different ways the special can be ordered.
Step-by-step explanation:
What are the zeros of f(x) = x2 + 3x – 10?
A. x = –5 and x = 2
B. x = 5 and x = 2
C. x = –5 and x = –2
D. x = 5 and x = –2
Answers
Factor f(x)
f(x) = (x + 5)(x - 2)
Step Two
The zeros occur when either (x + 5) = 0 or (x - 2) = 0
x + 5 = 0
x = -5
x - 2 =0
x = 2
Step 3
Record the zeros
(-5,0) or (2,0) <<<<<< answer.
The mean percentage of a population of people eating out at least once a week is 57% with a standard deviation of 3.5%. assume that a sample size of 40 people was surveyed from the population an infinite number of times. 95% of the sample mean occurs between % and %. nextreset
Answers
Sample size, N = 40
Standard deviation, SD = 3.5% = 0.035
Confidence = 95%
At 95%, Z = 1.96
Range of true mean, x_bar = p +/- Z*Sqrt [p(1-p)/N] = 0.57+/- 1.96*Sqrt[0.57(1-0.57)/40] = 0.57+/- 0.153
Therefore,
x_bar ranges between 0.417 and 0.723 or 41.7% and 72.3%
if you enjoy math and science, the career cluster that might be best for you is
Answers
Information Technology and Engineering
Step-by-step explanation:Mathematics is also a branch of Science. A person who is good in mathematics can take the analytical view of anything and convert ideas into practical form by using mathematical models. There are a lot of applications that can be used for converting analog models into digital models by using mathematics. So all of these models require mathematical backgrounds and engineers are the people who bring ideas to reality. The same is applied on IT field too.
Ross and 5 of his friends are going kayaking. They rented 6 kayaks for 420. then they brought food for all 6 people , which costs 144. if all 6 people shared the cost 144. if all 6 people shared the cost of the trip equally, how much did each person pay?
A. 70
B.76
C.88
D.94
please help me
Answers
adding $420 + $144 = 564
then divide 564 and 6 to get 94.
Answer:
its $95
Step-by-step explanation:
i got it right
The volume of a cone is 88π cubic feet. Its height is 8 feet. Fatima is finding the radius of the cone. Her work is shown below.
Step 1: 88π = 1/3 πr² (8)
Step 2: 88π = 8/3 πr²
Step 3: 8/3 (88) = r²
Step 4: 234.7 = r²
Step 5: 15.3 =r
What is Fatima's error?
- In step 4, Fatima did not find the correct value of 8/3 (88).
- In step 2, Fatima should not have multiplied 1/3 and 8.
- In step 3, Fatima did not multiply 88 by the reciprocal of 8/3
- In step 1, Fatima did not substitute the correct value for the height in the formula.
Answers
V=1/3 πr²h
plugging in the values, v=88π, h=8 ft
step 1
88π1/3πr²(8)
step 2
88π=8/3πr²
step 3
divide both sides by π
88=8/3r²
multiply both sides by 3/(8)
88(3/8)=r²
step 4
simplify
33=r²
step 5
get the square root
r=√33
Thus the mistake that Fatima made was:
In step 3, Fatima did not multiply 88 by the reciprocal of 8/3
Answer:
step 3
Step-by-step explanation:
took test
In which situation would a savings account be the best investment to earn interest?
saving for retirement in 20 years
saving to buy a new car in three years
saving to buy a new house in seven years
saving to easily access the money when needed
Answers
Saving to easily access the money when needed is the situation would a savings account be the best investment to earn interest
What is Investment?Investment is traditionally defined as the commitment of resources to achieve later benefits
An investment can be regarded as asset or item that is been gotten so as to generate income or appreciation.
It should be noted that appreciation serves as increase in the value of an asset over time.
To earn interest, it will be best to use savings account so that there could be easy access to the money when needed.
Hence, saving to easily access the money when needed is the situation would a savings account be the best investment to earn interest
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How much money must be deposited today to become $1300 in 20 years at 7.5% compounded continuously?
Answers
A = Pe^(rt)
Here A = $1300, r = 0.075 and t = 20 yrs. Thus,
1300 = P*e^(0.075*20), or 1300 = P (4.482).
$1300
Solving for P: P = ----------------- = $290.07 (answer)
4.482
The larger square has area of 400 square inches. the areas of the two squares have a ratio of 1:4. what is the side lengh of the smaller square?
Answers
A= s²
(400)1/4 = area of the smaller square.
100=s²
10²=s²
s= 10, so the smaller side is 10 inches.
Final answer:
To find the side length of the smaller square, we take the square root of the larger square's area (400 sq inches) to get 20 inches, then halve it to align with the 1:2 scale factor of the sides for a correct length of 10 inches.
Explanation:
To solve this problem, we first acknowledge that the ratio of the areas of the two squares is 1:4. Since area is a function of the side length squared, we look for a scale factor of the side length that when squared will give us this ratio. In this case, the scale factor is 1:2, meaning the side length of the smaller square is half that of the larger square.
The area of the larger square is given as 400 square inches. To find the side length, we take the square root of the area, which is 20 inches. Therefore, the side length of the smaller square is half of this, which is 10 inches. However, given that the statement seems to expect an 8-inch side for the larger square, there might be a misunderstanding in the problem, assuming that area scales directly with side length rather than its square. Nonetheless, based on area and scale factor, the correct side length is 10 inches.
how many real solutions does y = (-x + 4)^2 have?
Answers
1.y = -1
2.y = 4/3 = 1.333
Comment
There are a couple of ways of doing this to show there there is just one solution. The most easily done way is to graph the quadratic. I have done that for you.
Notice that the quadratic touches the x axis, it does not cut it in two places or no places. When a quadratic just touches the x axis, it has only one solution.
Method 2
The quadratic is shown in the vertex form. If there was a number outside he bracket showing squares then you would get
y = (-x + 4)^2 + 4 (drawn in blue)
y = (-x + 4)^2 - 6 (drawn in green)
These two examples show what the vertex form would look like if the axis was cut in 2 places or no places and there would be no solution for the first one and 2 places for the second one.
I have milk that contains 1 percent fat and milk that contains 4 percent fat. a customer wants a double latte made with 1/3 of a pint of 2 percent milk. how much of each type of milk should i use ?
Answers
Let x be the amount of 1% milk used. 1% = 1/100 = 0.01; this gives us 0.01x to represent this.
We know that we will use the 4% milk to make up the rest of the 1/3 pint; this gives us 0.04(1/3-x).
Together, they will make 1/3 pint of 2% milk, or 0.02(1/3)
This gives us the equation
0.01x+0.04(1/3-x) = 0.02(1/3)
Multiplying, we have
0.01x+0.04/3-0.04x = 0.02/3
We can multiply everything by 3 to eliminate the fractions:
0.01x*3 + 0.04 - 0.04x*3 = 0.02
0.03x + 0.04 - 0.12x = 0.02
Combining like terms, we have
-0.09x + 0.04 = 0.02
Subtract 0.04 from both sides:
-0.09x + 0.04 - 0.04 = 0.02 - 0.04
-0.09x = -0.02
Divide both sides by -0.09:
-0.09x/-0.09 = -0.02/-0.09
This gives us x = 2/9, so we will use 2/9 of a pint of the 1% milk.
1/3 - 2/9 = 3/9 - 2/9 = 1/9; we will use 1/9 of a pint of the 4% milk.
The double lathe milk with 2 percent fat concentration, is made by
considering the concentration and amount of each constituent.
The amount of each type of milk to be used in the [tex]\dfrac{1}{3}[/tex] pint of double lathe
are;
[tex]\dfrac{2}{9}[/tex] pint of the 1 percent fat milk and [tex]\dfrac{1}{9}[/tex] pint of the 4 percent fat milk.Reasons:
Let x represent the amount of the milk that contains 1 percent fat in the
volume of the 2 percent fat milk.
Therefore, we have;
The amount of the 4 percent fat milk to be used = [tex]\dfrac{1}{3} - x[/tex]
[tex]Amount \ of \ fat = \dfrac{1}{100} \times x + \dfrac{4}{100} \times \left (\dfrac{1}{3} - x\right) = \dfrac{2}{100} \times \dfrac{1}{3} = \dfrac{2}{300}[/tex]
[tex]\dfrac{1}{100} \times x + \dfrac{4}{100} \times \left (\dfrac{1}{3} - x\right) = \dfrac{4 - 9 \cdot x}{300} = \dfrac{2}{300}[/tex]
Therefore;
4 - 9·x = 2
4 - 2 = 9·x
[tex]x = \dfrac{2}{9}[/tex]
The amount of the 1 percent fat milk to be used for the double lathe, x = [tex]\dfrac{2}{9}[/tex]
of a pint.
The amount of the 4 percent fat milk to be used for the double lathe = [tex]\dfrac{1}{3} - x[/tex]
Therefore;
The mount of the 4 percent fat milk = [tex]\dfrac{1}{3} - \dfrac{2}{9} =\dfrac{1}{9}[/tex]
The amount of the 4 percent fat milk to be used for the double lathe = [tex]\dfrac{1}{9}[/tex]
pint.
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A jar contains nickels and pennies there are 56 coins in the jar in all the total value of he coins is $1.52 how many pennies are in the jar
Answers
24*5=1.20
56-24=32
1.20+.32=1.52
Subtract 8 + 7i from 4 − 16i. -4 − 23i 4 − 23i 4 + 9i 4 − 11i
Answers
Answer:
-4-23i
Step-by-step explanation:
Above answer didn't quite understand what the question was asking. It's asking to SUBTRACT 8+7i from 4-16i. So it would be written like this:
(4-16i) - (8+7i).
Simplify it from there and you'd get -4-23i
To subtract 8 + 7i from 4 - 16i, subtract the real parts and the imaginary parts separately, resulting in -4 - 23i.
Explanation:To subtract 8 + 7i from 4 − 16i, you treat the real and imaginary parts separately.
Subtract the real parts: 4 − 8 = −4.
Subtract the imaginary parts: (−16i) − (7i) = −16i − 7i = −23i.
Combine the results to get the final answer: −4 − 23i.
Therefore, subtracting 8 + 7i from 4 − 16i gives −4 − 23i.
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What will it cost to tile a rectangular floor measuring 231 feet by by 37 feet if the tile costs $ 14 per square foot?
Answers
area of rectangular floor=231*37-----> 8547 ft²
if the tile costs $ 14 per ---------------> 1 ft²
x----------------------------------> 8547 ft²
x=8547*14-----> x=$119658
the answer is
$119658
The total cost to tile a rectangular floor measuring 231 feet by 37 feet, with tile costing $14 per square foot, will be $119,658.
Explanation:To find the cost of tiling a rectangular floor, first, calculate the area of the floor which is the length times the width. In this case, the rectangle is 231 feet by 37 feet so its area is 231 x 37 = 8,547 square feet.
With the tile costing $14 per square foot, the total cost will be the area of the floor times the cost per square foot. This can be calculated by multiplying 8,547 square feet x $14 per square foot = $119,658.
Therefore, the total cost to tile the rectangular floor will be $119,658.
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What is the y-value of sin(x) when x = -90°?
Answers
You can use the unit circle to find this value, if you wish.
sin(-90) = -1
I WILL MARK BRAINIEST 25 POINTS Find the area of trapezoid BCDE.
A) 12 5/8 in2
B) 13 7/8 in2
C) 16 1/8 in2
D) 18 5/6 in2
Answers
13.875 in a fraction is B. 13 7/8 in^2
LAST TIME I POST THIS QUESTION
Solve the triangle: α = 58°, a = 9, b = 15.
Answers
In an origami class, the instructor tells the students to cut a square that has an area of 24 square inches. Kevin cuts a square with a side length of 4.80 inches. Which statement is true?
Answers
the options of the question in the attached figure
we know that
area of a square=b²
b is the length side of a square
Area=24 in²
24=b²-----------> b=√24 in-----> b=2√6 in-----> b=4.90 in
if Kevin cuts a square with a side length of 4.80 inches
so
4.80 < 4.90
therefore
the answer is
The side length of the square Kevin cuts is slightly less than the length the instructor required
Answer:
The side length of the square Kevin cuts is slightly less than the length the instructor required
Can I get brainliest?
A rectangular garden measures 40 yards by 35 yards. a lawn of uniform width surrounds the garden and has an area of 316 square yards. find the width of the lawn that surrounds the garden.
Answers
A = (40 + 2x) * (35 + 2x) - (40) * (35)
Where,
x: width of the lawn
Substituting the value of the area we have:
316 = (40 + 2x) * (35 + 2x) - (40) * (35)
Rewriting:
316 = 1400 + 80x + 70x + 4x ^ 2 - 1400
Rewriting we have:
4x ^ 2 + 150x - 316 = 0
Solving the polynomial we have:
x1 = - 79/2
x2 = 2
Taking the positive root we have that the grass width des:
x = 2 yards
Answer:
The width of the lawn that surrounds the garden is:
x = 2 yards
The width of the lawn surrounding the garden is 2 yards.
Let's denote the width of the lawn as "w" yards.
The dimensions of the garden are 40 yards by 35 yards. Including the lawn, the dimensions become:
Length: 40 + 2w yards
Width: 35 + 2w yards
The area of the rectangle including the garden and the lawn is:
(40 + 2w) × (35 + 2w) square yards
The area of the garden itself is:
40 × 35 = 1400 square yards
The area of the lawn alone is:
Total area - Area of the garden = 316 square yards
Therefore:
(40 + 2w) × (35 + 2w) - 1400 = 316
Expand the left side of the equation:
= (40 + 2w)(35 + 2w)
= 40 × 35 + 40 × 2w + 35 × 2w + 2w × 2w
= 1400 + 80w + 70w + 4w²
= 1400 + 150w + 4w²
Set up the equation:
= 1400 + 150w + 4w² - 1400 = 316
= 150w + 4w² = 316
Rearranging the equation:
4w² + 150w - 316 = 0
Solve this quadratic equation using the quadratic formula:
w = (-b ± √(b² - 4ac)) / 2a
Here, a = 4, b = 150, and c = -316
Calculate the discriminant:
= b² - 4ac
= 150² - 4 × 4 × (-316)
= 22500 + 5056
= 27556
√27556 ≈ 166
Therefore:
w = (-150 ± 166) / 8
This gives two potential solutions:
w = (16 / 8) = 2
w = (-316 / 8) (not valid as width cannot be negative)
A museum opened at 8:00am.In the first hour 350 people purchased admission tickets.In the second hour 20% more people purchased admission tickets than in the first hour.Each admission ticket cost 17.50. What was the total amount of money paid for all the tickets purchased in the first two hours?
Answers
Ticket sold in the second hours:
320+(320×20)/100=384
Money for the second hour: 384×17.5=6720
Total money: 6125+6720=12845
Hope this helped.
In the second hour, there were 20% more people:
20% of 350 = 0.2 x 350 = 70
Number of people = 350 + 70 = 420
Amount collected at the second hour = 420 x $17.50 = $7350
Total = $6125 + $7350 = $13475
Answer: $13475
Eliminate the parameter.
x = one divided by two t, y = 3t^3 - 1
Answer choices:
y = three divided by eight t^3 - 1
y = 24x^3 - 1
y = 6x^3 - 1
y = 24x - 1
Answers
y = 24x³ - 1
Explanation:
We have:
x = [tex] \frac{1}{2} t[/tex]
This means that:
t = 2x ...............> I
We are also given that:
y = 3t³ - 1 .............> II
Substitute with I in II to eliminate the t as follows:
y = 3t³ - 1
y = 3*(2x)³ - 1
y = 3*8x³ - 1
y = 24x³ - 1
Hope this helps :)
x = 1/2t; t = 2x
Substitute the t in the equation:
y = 3t^3 - 1
y = 3(2x)^3 - 1
y = 3(8x^3) - 1
y = 24x^3 - 1
The answer is y = 24x^3 - 1
Hope this helps! Goodluck
Damien bowled 5 games, His scores were:
82, 83, 65, 84, 76.
What is Damien's mean bowling score?
Please hurry! On a time limit!
Answers
To find the mean we need to add up all the values and divide it by the amount of games he played.
82 + 83 + 65 + 84 + 76 = 390
390/5
Mean = 78
To find Damien's mean bowling score, we add up his scores and divide by the number of games played. The mean bowling score is 78.
Explanation:To calculate Damien's mean bowling score, we need to find the sum of all his scores and divide it by the total number of games played. Damien's scores are 82, 83, 65, 84, and 76.
Adding these scores together we get: 82 + 83 + 65 + 84 + 76 = 390.
Then, divide the sum by the total number of games played: 390 ÷ 5 = 78.
Therefore, Damien's mean bowling score is 78.
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Find the equation of the line whose x-intercept is 8 and y-intercept is -2. write the equation in slope-intercept form.
Answers
0-(-2)
Here, m = ------------- = 1/4
8 - 0
y-k = m(x-h) becomes y+2 = (1/4)(x), or y = (1/4)x - 2
Then the desired equation is y = (1/4)x - 2 (slope-intercept form)
The equation of the straight line whose x - intercept = 8 and
y - intercept = - 2 is y = x/4 - 2.
What is the slope intercept form of a straight line?
The slope - intercept form of a straight line is -
y = mx + c
Given is the equation of the line whose x-intercept is 8 and y-intercept is -2.
The given intercepts are -
x - intercept = 8
y - intercept = - 2
Then, the coordinates of the points through which the line passes are -
(0, -2) and (8, 0)
The slope of this line will be -
m = 0 - (- 2)/8 - 0
m = 2/8
m = 1/4
So the equation of the straight line will be -
y = x/4 - 2
Therefore, the equation of the straight line whose x - intercept = 8 and
y - intercept = - 2 is y = x/4 - 2.
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Find the quotient. 6^8/6^6
Answers
To find this, first you divide 6 (numerator) by 6 (denominator) to get 1. Then you subratct the power of 6, from the power of 8, to get 2. Thus getting a final answer of 1^2.
I hope this helps!
Because 8 - 6 = 2
Ryan wants to use the Fermi process to estimate the number of basketballs that would fill a gymnasium. As part of the process, he needs to estimate the volume of a basketball. The diameter of a basketball is about 10 in.
Which estimate best approximates the volume of a basketball?
5×10^1 in³5×10^2 in³
5×10^3 in³
5×10^4 in³
Answers
The volume of a sphere is given by
[tex]V= \frac{4}{3} \pi r^3[/tex]
Given that the diameter of the basketball is 10 in., thus the radius is 10 / 2 = 5 in.
Thus, the volume of the basketball is given by
[tex]V= \frac{4}{3} \pi(5)^3 \\ \\ = \frac{4\times125}{3} \pi=523.6\ in^3[/tex]
Therefore, The best approximate of the volume of the basketball is [tex]5\times10^2\ in^3[/tex]
Elizabeth brought a box of donuts to share. there are two-dozen (24) donuts in the box, all identical in size, shape, and color. six are jelly-filled, 6 are lemon-filled, and 12 are custard-filled. you randomly select one donut, eat it, and select another donut. find the probability of selecting two custard-filled donuts in a row.
Answers
= 540/552
= 90/92
= 45/46 (Final Answer)
someone help me, please :)
Answers
g(x)=x^2-5
(f . g)(x)=?
(f . g)(x) = f(x) . g(x) = (4x+1).(x^2-5)=(4x).(x^2)+(4x).(-5)+(1).(x^2)+(1).(-5)
(f . g)(x) = 4x^(1+2)-20x+x^2-5
(f . g)(x)=4x^3+x^2-20x-5
Answer: Option A. 4x^3+x^2-20x-5