1. All numbered streets runs parallel to each other. Both 3rd and 4th Streets are intersected by King Ave. as shown:
(a) Suppose a car is traveling east on 4th Street and turns onto King Avenue heading northeast. What is the measure of the angle created by the car's turning? Explain your answer.
(b) Suppose a car is traveling southwest on King Avenue and turns left onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer.
(c) Suppose a car is traveling northeast on King Avenue and turns right onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer.
Answers
As shown in the diagram attached, the angle made between 4th street and king avenue if car is traveling from the west side is 75°.
when the car is travelling from the east side and is supposed to take a turn towards north east lets call the angle it makes with the turn as x.
4th street is a straight road, therefore straight line
and sum of angles of a straight line is 180°.x and 75 are supplementary angles.
Therefore x + 75° = 180°
x = 105°
therefore the angle it makes in the turn is 105°
Q2)
When the car is travelling south west and turns left towards 3rd street, the angle it makes is termed as y. when 2 parallel lines are cut by a transversal, x° and y° are corresponding angles.
This means that the angle at which transversal cuts 3rd street and 4th street to the left are both equal. these are called corresponding angles.
this means that x = y
as derived in the previous question, x = 105°,
hence, y = 105°.
Q3)
When the car is travelling north east and turns right onto 3rd street, lets name the angle it makes with the turn as z.
angles y and z are called vertically opposite angles. When 2 straight lines cut each other, the opposite angles formed are equal to each other.
Therefore y = z.
as derived in the previous question y = 105°.
since y = z
hence, z = 105°
Answer:
the guy is right except number 2
Step-by-step explanation:
if the car turns left that means it went west and since 4th and 3rd street are parallel and King Ave. is a transparent then street 4 and 3 have the same angles. y is 75 and a vertical that means the car makes a 75 degrees angles .
sorry for the bad explanation
Related Questions
Iris had $900. She spend 22% of this amount on a mobile phone. How much did she pay for the mobile phone
Answers
Answer:
198
Step-by-step explanation:
Of means multiply and 22% as a decimal is 0.22, so multiply 0.22 by 900.
900*0.22=198
What is 6.9-(-5)+4.1
Answers
Question 19 makes no sense
Answers
g(0)= -6 tells us that the y-intercept is (0, -6). Thus, b= -6.
(0,-6) and (15,-9) are points on the line. Find the slope of the line. It is:
-9-(-6)
m = ------------- = -3/15 = -1/5
15-0
Thus, the equation of the line in question is y=(-1/5)x - 6.
Important that you understand that g(0)=-6 is also represented by (0,-6), and that -6 is the y-intercept.
If BC -16 and BD-9 then find the length of BA. Show the work you use to find your answer. Draw the two similar triangles separately to help set up the proportion.
Answers
In right triangle the leg is geometrical mean of its projection on the hypotenuse and the hypotenuse. Thus,
[tex] AB^2=BD\cdot BC [/tex].
Substitude BC=16, BD=9, then
[tex] AB^2=9\cdot 16,\\ AB^2=144,\\ AB=12 [/tex].
Answer: AB=12
HELP ME @LOULI pleaseeeeeeeee
Answers
am i right?
y = x - 700
Explanation:
The equation of the line in slope-intercept form has the following formula:
y = mx + c
where:
m is the slope
c is the y-intercept
1- getting the slope:
To get the slope, we will need two points from the graph. I will choose (700,0) and (0,-700)
slope = (y2-y1) / (x2-x1) = (-700-0) / (0-700) = 1
The equation now is:
y = 1x + c
y = x + c
2- getting the y-intercept:
The y-intercept means the value of the y at x = 0. We can get this directly from the graph.
From the graph, we can find that:
at x = 0, y = -700
Therefore:
c = -700
Based on the above, the equation of the line is:
y = x - 700
Hope this helps :)
When a=-9, and b=-6, which expression has a value of -3?
A. a+b
B. a-b
C. |a+b|
D. |a-b|
Answers
Hope this helps
Rational and Irrational Numbers what is it explain
Answers
The volume of a cube is 1,953.125 centimeters cubed. Find the length of the sides.
Answers
deena has a set of 4 coasters on her coffee table, and each coaster is shaped like a cylinder with a height of 0.5 inches and a radius of 2.5 inches. which is the total surface area of the 4 coasters?
Answers
Final answer:
The total surface area for the 4 cylindrical coasters, each with a height of 0.5 inches and a radius of 2.5 inches, is approximately 188.4956 square inches.
Explanation:
Deena has a set of 4 coasters, each shaped like a cylinder.
To calculate the surface area of one coaster, we need to find the area of the two circular bases and the area of the side that wraps around the cylinder (the lateral surface area).
The formula for the surface area of a cylinder is SA = 2πr(h+R), where r is the radius, h is the height, and R is the radius of the bases.
Given a height of 0.5 inches and a radius of 2.5 inches:
SA = 2π(2.5)(0.5+2.5)
SA = 2π(2.5)(3)
SA = 2π(7.5)
SA = 15π
The result is the surface area for one coaster. As we have 4 coasters, we multiply this result by 4:
Total surface area for 4 coasters = 4 × 15π ≈ 4 × 47.1239 ≈ 188.4956 square inches.
How do you factor 4x^2+20x-3xy-15y?
Answers
Christopher just found beautiful yarn for 20% off at his favorite yarn store. He can make one scarf from 2/3 of a ball of yarn. If Christopher buys 12 balls of yarn, how many scarves can he make?
Answers
Answer:
16
Step-by-step explanation:
if 2/3 is used by one scarf, then we can divide 2/3 into 12
12/1 × 2/3
12/1 ×3/2= 36/2
36/2= 16
Christopher can create a total of 12 scarves with the 12 balls of yarn he buys, based on the ratio of 2/3 of a ball needed for one scarf.
Christopher can make scarves from yarn, where it takes 2/3 of a ball of yarn to make one scarf. If he buys 12 balls of yarn, we need to calculate the total number of scarves he can make.
Let's find out how many scarves he can create with 12 balls:
Firstly, determine how many scarf units are in one ball of yarn. Since it takes 2/3 of a ball to make a scarf, 1 ball equals 1.5 scarf units (since 1 / (2/3) = 1.5).Next, multiply the number of scarf units in one ball by the total number of balls. 1.5 scarf units per ball \\times 12 balls = 18 scarf units.Finally, since each scarf uses 2/3 of a ball, we divide the total number of scarf units by 1.5 to get the number of scarves. 18 scarf units / 1.5 = 12 scarves.Therefore, Christopher can make 12 scarves with 12 balls of yarn.
Carlos is 63 inches tall. What is his height in feet?
Answers
I need help what is 80% Of 5.00
Answers
80% of 5.00 =
= 80% * 5.00
= 0.80 * 5.00
= 4.00
100= 4 its four lil bro
how do you simplify equations? im having trouble w math. help
Answers
1. Removing parentheses by multiplying factors.
2. Using exponent rules to remove parentheses in terms with exponents.
3. Combining like terms by adding coefficients.
4. Combining the constants.
5. Adding, subtracting, multiplying or dividing both sides of an equation.
Brainliest? I would like to move up a rank!
If a store orders a total of 55 of flour, how many 25-pound bags does the store order
Answers
HEEEEEEEEEEEEEEEEEELPPPPPPPP
Answers
y = 2x - 4
Explanation:
The general form of the slope-intercept equation is:
y = mx + c
where:
m is the slope
c is the y-intercept
We are given that the slope = 2
Therefore, the equation of the line becomes:
y = 2x + c
Now, we will need to get the value of c.
We are given that (7,10) belongs to the line. This means that this points satisfies the equation of the line. So, we will substitute with this point in the equation and solve for c as follows:
y = 2x + c
10 = 2(7) + c
10 = 14 + c
c = 10 - 14
c = -4
Based on the above, the equation of the line is:
y = 2x - 4
Hope this helps :)
What is 1 1/2 subtracted from the sum of 4 2/3 and 5 2/5
Answers
First, we need to add 4 2/3 and 5 2/5.
We should begin with converting the fractions into improper fractions.
4 2/3 + 5 2/5
= 14/3 + 27/5
Now, we find the common denominator.
= 70/15 + 71/15
We can add:
= 141/15
And simplify.
= 9 2/5
Finally, we subtract 1 1/2 from 9 2/5.
9 2/5 - 1 1/2
= 47/5 - 3/2
= 94/10 - 15/10
= 79/10
= 7 9/10
Your answer is 7 9/10.
Hope this helps!
7 9/10 is the correct answer. I use the wonderful world of google to help me with questions like that one
Figure PQRS is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure P′Q′R′S′:
Which statement best compares the lengths of the sides of the two figures?
Length of PQ = Length of P′Q′
Length of PQ = Length of R′S′
Length of RS = Length of P′Q′
Length of RS = Length of Q′R′
Answers
Answer:
A. Length of PQ = Length of P′Q′
Step-by-step explanation:
We are given,
Figure PQRS is rotated by 180° counter-clockwise about the origin to obtain P'Q'R'S'.
Since, we know that, 'Rotation' is a transformation that turns the figure around a fixed point to a certain degree.
We get that, rotation does not affect the length of the figure.
So, the length of PQ = length of P'Q' and length of RS = length of R'S'
Thus, according to the options, we get that option A i.e. Length of PQ = Length of P′Q′ is correct.
Who can help me with number 1
Answers
5
---
9
===
2 * 3
-- --
3 2
What this does is get rid of the fraction on the bottom. But you also have to multiply the 5/9 by 3/4
5/9 * 3/2
When you do this you get
15/18 Both can be divided by 3
5/3 <<<<< answer
1 2/3 <<<< answer
1.66666 <<<< answer
Each small cube is 1 cm3. The length of the large cube is 12 cm. What is the volume of the large cube? A. 24 cm3 B. 144 cm3 C. 864 cm3 D. 1,728 cm3
Answers
Answer:
d
Step-by-step explanation:
find the length of the base indicated for each trapezoid
Answers
To find the base of a trapezoid, you can view the trapezoid as two right triangles joined together. The base of the trapezoid is the sum of the bases of these triangles. Depending on the orientations of the sides of the trapezoid and the height, you might need to use the Pythagorean theorem.
Explanation:The question asks to find the length of the base for a given trapezoid. In order to do this, we can use concepts from geometry and trigonometry. Consider the trapezoid as two right triangles back to back. The base of the trapezoid is the sum of the bases of the two right triangles.
For example, if you have a trapezoid with sides A and B, and the height is H, you can use these sides and the trigonometric principles to calculate the lengths of the bases. If side A or B is not perpendicular to the base, you would need to use the Pythagorean theorem. That formula is A^2+B^2=C^2, where C is the hypotenuse of the right triangle formed.
In case, the sides A and B are perpendicular to the base, the lengths of the bases would simply be side A + side B. This would give you the total length of the base of the trapezoid.
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A student is selling baked goods in the halls before school as a fundraiser. She sells cinnamon rolls, donuts, and croissants. Students purchase the goods according to the probability distribution:
X(Product): cinnamon roll, donut, croissant
P(x): 0.20, 0.55, 0.25
A): If a cinnamon roll yields $0.25 profit, a donut yields $0.20 profit, and a croissant yields a $0.30 profit, how much profit will be made on each customer?
B):If there are 50 customers, how much can you expect her to make?
Answers
b). Money made if there are 50 customers: $0.235 * 50 = $11.75
what are the mean median mode and range of the data set given the altitude of lakes in feet -9, -36, -23, -8, -17, -52, -27, and -36 A. mean=-25; median=-26; mode=-44; range=36 B. mean=-25; median=-36; mode=-36; range=44 C. mean=-26; median=-25; mode=-36; range=44 D. mean=-26; median=-44; mode=-25; range=36
Answers
The first step in solving this should be to determine what mean, median, mode and range are and how to find them.
The "mean" is essentially just the average of a set of numbers, and it's found by finding the sum of the numbers then dividing by the number of add-ins.
The "median" is the middle number in a set. This is found by arranging the numbers from smallest to largest and finding the center number. Sometimes, if there is an even number of items in a set, you'll have to find the median by taking the mean of the two middle number. (For example, if your set is 1, 2, 3, 4 you would find the median by looking or the middle number(s) which in this case would be 2 and 3. To find the median, you'd take 2+3 which equal 5 and divide that by the number of items- 2 which gives you 2.5).
The "mode" is the is simply whichever number occurs the most in a set.
The "range" is the difference between the largest and smallest numbers in a set; in other words, you take the largest number in the set and subtract the smallest number in the set from it (i.e if the largest number is 5 and the smallest number is 3, you'd take 5-3 which gives you the range of 2).
Now the, on to solving your problem!
The set you were given consists of the numbers -9, -36, -23, -8, -17, -52, -27, and -36.
To find the mean, we would take all of the numbers and add them up:
-9+(-36)+(-23)+(-8)+(-17)+(-52)+(-27)+(-36) = 208
Then, you divide the sum by the number of add-ins, in this case, 8 (since there are 8 numbers in the set).
-208/8 = -26.
So the mean = -26.
The median can be found next, by arranging the numbers from smallest to largest:
-52, -36, -36, -27, -23, -17, -9, -8
As we can see, the middle-most numbers are -27 and -23, so what we have to do is add the number which gives us -50 and divide by 2 which gives us the answer of -25.
So the median is -25.
Next is the mode, which can be found by seeing which number occurs the most. As we can see by looking at the set, -36 is the only number that occurs more than once (occurring twice).
Since it occurs the most, the mode is -36.
Finally, we need to find the range. In order to do this, we take the highest number (-8) and subtract the lowest number (-52).
-8-(-52)= 44
Keep in mind that when you're subtracting a negative, it becomes addition.
And there we go, the range is 44.
So now we just have to look at your choices, and you can see that option C matches the answers, since the mean= -26, the median= -25, the mode= -36, and the range = 44.
Truly hope this helps!
Answer:
C
Step-by-step explanation:
what does it mean to "square a circle"?
Answers
Final answer:
In mathematics, 'squaring the circle' means to create a square with the same area as a given circle, though it is impossible to achieve precisely due to the nature of π. When fitting a circle in a square, the side of the square is twice the radius of the circle, and the circle's area is approximately three-quarters that of the square.
Explanation:
To "square a circle" in mathematical terms traditionally means to create a square with the same area as a given circle, using only a finite number of steps with compass and straightedge. This problem is known to be impossible to solve exactly due to the transcendental nature of π (pi). However, when we discuss fitting a circle within a square, we often refer to having the diameter of the circle, which is twice the radius (2r), fit exactly across the side length of the square (a).
The area of the circle is πr², and when the circle fits within a square the area of the square is a². Since a = 2r, the area of the square can be expressed as 4r². From this, we can approximate that a circle's area would be less than the area of the square but more than half, possibly around three-quarters, thus approximately 3r².
Perimeter-wise, a circle within a square would have a circumference less than the perimeter of the square but significantly longer than a straight line passing through the center of the square. This understanding allows for practical estimations without requiring exact precision, which can be particularly useful in everyday contexts where an approximation suffices.
At a ski resort there are three different chair lifts that will take you to the top of the mountain. There are six ski trails to the bottom of the mountain. How many different paths are there to go up and down the mountain?
Answers
a rectangular field has sides with the length of 120 yards in 62 yards to the nearest tenth of a yard find the length of the diagonal of the field
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.. diagonal = √(120² +62²) = √18244 ≈ 135.1 . . . . yards
A field is shaped like the figure shown. What is the area of the field? Use 3.14 for pi
Answers
Answer:
area of field = 146.24 m²
Explanation:
Noticing the figure, we can see that it is composed of three regular shapes:
1- a square
2- a triangle
3- quarter of a circle
We will get the area of each shape separately and then add them to get the total area of the field.
1- getting the area of the square:
area of the square = (side)²
we have the side = 8 m
Therefore:
area of square = (8)² = 64 m² ...............> I
2- getting the area of the triangle:
area of triangle = [tex] \frac{1}{2} [/tex] * base * height
We have the base = 8 m and the height = 8 m
Therefore:
area of triangle = [tex] \frac{1}{2} [/tex] * 8 * 8 = 32 m² ..........> II
3- getting the area of the quarter circle:
area of circle = πr²
area of quarter circle = [tex] \frac{1}{4} [/tex] * πr²
We have π = 3.14 and r = 8 m
Therefore:
area of quarter circle = [tex] \frac{1}{4} [/tex] * 3.14 * (8)² = 50.24 m² .....> III
4- getting the total area of field:
Total area of field = I + II + III
Total area of field = 64 + 32 + 50.24
Total area of field = 146.24 m²
Hope this helps :)
Answer:
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Step-by-step explanation:
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What prime factor(s) will make the lcm of 9 and 15
Answers
15/3 = 5
LCM = 3
Select all that apply.
A point located at (5, -2) undergoes two transformations. Its image is located at (-5, 2). What were the transformations?
The point was reflected over the y-axis and translated up 4 units.
The point was translated right 10 units and reflected over the x-axis.
The point was translated left 10 units and up 4 units.
The point was reflected over the y-axis and translated down 4 units.
Answers
The point was reflected over the y -axis and translated up 4 units.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
We have,
A point located at (5, -2) undergoes two transformations.
Its image is located at (-5, 2).
The point was reflected over the y-axis and translated up 4 units, as shown by the coordinates becoming (-5, -2), respectively, when the point was reflected over the y-axis and (-5,2).
So, The point was reflected over the y -axis and translated up 4 units.
Learn more about transformation here:
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How do you do 3.)and 3.a)
Answers
Multiply this proportion by 5
5 cm : 75 yd
Multiply the original proportion by 8
8 cm : 120 yd
a) The dimensions of the field are 75 yd by 120 yd.
b) The area is (75 yd)*(120 yd) = 9000 yd^2.