ΔABC with vertices A(-3, 0), B(-2, 3), C(-1, 1) is rotated 180° clockwise about the origin. It is then reflected across the line y = -x. What are the coordinates of the vertices of the image?
A(. A'(0, 3), B'(2, 3), C'(1, 1)
B(. A'(0, -3), B'(3, -2), C'(1, -1)
C(. A'(-3, 0), B'(-3, 2), C'(-1, 1)
D(. A'(0, -3), B'(-2, -3), C'(-1, -1)
Answer:
B (. A'(0, -3), B'(3, -2), C'(1, -1)
Step-by-step explanation:
Two right triangles are congruent. Find the value of x.
right triangle with angle of 33 degrees, right triangle with angle of 9 x minus 15 degrees
Select one:
a. 5
b. 6
c. 8
d. 12
(01.03) A box has dimensions of 14 inches long, 1.5 feet wide, and 7 inches high. What is the volume of the box
1.5 feet = 12 * 1.5 = 18 inches
14 x 18 x 7 = 1764 cubic inches
Evaluate the dot product a⃗ ⋅b⃗ of a⃗ =3i^−8j^ and b⃗ =−2i^−6j^.
The dot product of vectors a⃗ =3i^−8j^ and b⃗ =−2i^−6j^ is calculated by multiplying the corresponding components of the vectors and summing the results, giving a final dot product of 42.
Explanation:The dot product of two vectors a and b is calculated by multiplying the corresponding components of the vectors and summing the results. So, given the vectors a⃗ =3i^−8j^ and b⃗ =−2i^−6j^, the dot product can be found as follows:
a⃗ ⋅b⃗ = (a_x * b_x) + (a_y * b_y)
Therefore, substituting the known values: a⃗ ⋅b⃗ = (3 * -2) + (-8 * -6) = -6 + 48 = 42
So, the dot product a⃗ ⋅b⃗ for vectors a⃗ =3i^−8j^ and b⃗ =−2i^−6j^ is equal to 42.
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A car is driving at the speed of 58 km/h.How much time will it take to drive for distance 32 miles?
how much apple juice does each person get if 6 people share 2 and 2/3 quarts equally
The fraction of apple juice shared by 6 people is A = 4/9 of the apple juice
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the fraction of apple juice shared by 6 people be A
Let the total number of people be represented as n = 6 people
Now , the fraction of total amount of apple juice = 2 2/3
The fraction of total amount of apple juice T = ( 8/3 ) of apple juice
And , the equation is
A = fraction of total amount of apple juice T / total number of people n
On simplifying , we get
A = ( 8/3 ) / 6
A = ( 8/18 )
Divide by 2 on both numerator and denominator of the fraction , we get
A = 4/9 of the apple juice
Therefore , the value of A is 4/9
Hence , the fraction of apple juice is ( 4/9 ) equally
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Last year Jeremy had $7900 in medical expenses. If his AGI was $89,000, will he be able to deduct his medical expenses and if so, what amount?
Answer:
He will be able to deduct his medical expenses by $1225.
Step-by-step explanation:
If his medical expenses are over 7.5% of his AGI he can reduce it to 7.5%.
His AGI was $89,000. How much is 7.5% of that?
0.075*89000 = $6675.
His expenses are over 7.5%, so yes, he can reduce.
He can reduce from $7900 to $6675, so 7900 - 6675 = $1225
on a certain day the temperature in Seattle was -1 degrees C and the temperature in the Hudson was 18 degrees C is how many degrees lower was the temperature in Seattle
The temperature in Seattle was 19 degrees lower than in the Hudson.
we subtract the temperature of Seattle from the temperature of the Hudson:
18°C - (-1°C) = 19°C
Therefore, the temperature in Seattle was 19 degrees lower than the temperature in the Hudson.
Solve the equation by the zero factor property 6x^2 -5x -6=0
y=-2/5x+4 in standard form
Find each percent increase. From 24 teachers to 30 teachers.
What are the quotient and remainder when
a.19 is divided by 7?
b.−111 is divided by 11?
F=J+Jrt solve following formula for t
To solve the formula F=J+Jrt for 't', first, subtract 'J' from both sides to get F-J=Jrt. Then, divide both sides by 'Jr', for the final equation for 't' = (F-J)/Jr.
Explanation:This physics-related mathematics question is asking you to solve the given formula F=J+Jrt for 't'. To isolate 't', we first want to eliminate 'J' from the right side. We do this by subtracting 'J' from both sides of the equation. This gives us F-J=Jrt.
Then, we divide both sides by 'Jr'. When we do this, we are left with t=(F-J)/Jr as the rearranged formula with 't' as the subject. This results in 't' being isolated in the equation, which answers the student's question.
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Will make Brainliest/#HelpAsap #MathHelp #Math(2 questions)!
You want to find out how many baseball cards Ryan had to begin with. Which situation about his card collection best represents the equation
x/2-1=24
A. Half of his cards were ruined after they got wet, and then he lost 1 card. After that, he had 24 cards left.
B. He lost 1 card, and then half of his cards were ruined after they got wet. After that, he had 24 cards left.
C. Half of his cards were ruined after they got wet, and then he bought 1 more card. After that, he had 24 cards left.
D. He bought 1 card, and then half of his cards were ruined after they got wet. After that, he had 24 cards left.
Which situation about Connor’s commission best represents the inequality 40 + 10x ≥ 100?
A.Connor earns $10 per day plus a $40 commission on each item he sells. How much will he earn if he sells 100 items?
B.Connor earns $40 per day plus a $10 commission on each item he sells. How much will he earn if he sells 100 items?
C.Connor earns $40 per day plus a $10 commission on each item he sells. How many items must he sell to earn at least $100?
D.Connor earns $40 per day plus a $10 commission on each item he sells. How many items must he sell to earn no more than $100?
a large bag of cashews weighs 8 1/3 pounds one serving is 1/3 pound how many servings are in the bag
how many times can 36 go into 300
"how many terms are there in the algebraic expression""
Complete each statement regarding an angle θ and its reference angle theta hat using radian measure. (Assume 0 ≤ θ < 2π. Give your answers in terms of θ.) (a) If θ is in QI, then theta hat = . (b) If θ is in QII, then theta hat = . (c) If θ is in QIII, then theta hat = . (d) If θ is in QIV, then theta hat = .
The reference angle is simply the acute angle between the terminal side and the x-axis
The terminal angles in the four quadrants are
[tex]\bar \theta = \theta[/tex].[tex]\bar \theta = \pi - \theta[/tex].[tex]\bar \theta = \theta - \pi[/tex].[tex]\bar \theta = 2\pi - \theta[/tex]The given parameters are:
[tex]\theta \to[/tex] reference angle
[tex]\bar \theta \to[/tex] terminal angle
(a) If the reference angle is in the first quadrant
In the first quadrant, the x-axis is at [tex]0\ rad[/tex]
So, the terminal angle is:
[tex]\bar \theta = \theta - 0[/tex]
[tex]\bar \theta = \theta[/tex]
(b) If the reference angle is in the second quadrant
In the second quadrant, the x-axis is at [tex]\pi \ rad[/tex],
While the reference angle is between [tex]\frac{\pi}{2}[/tex] and [tex]\pi \ rad[/tex]
It means that, we have to subtract the reference angle from the x-axis
So, the terminal angle is:
[tex]\bar \theta = \pi - \theta[/tex]
(c) If the reference angle is in the third quadrant
Here, the x-axis is still at [tex]\pi \ rad[/tex],
But the reference angle is between [tex]\pi \ rad[/tex] and [tex]\frac{3}{2}\pi[/tex]
It means that, we have to subtract the x-axis from the reference angle.
So, the terminal angle is:
[tex]\bar \theta = \theta - \pi[/tex]
(d) If the reference angle is in the fourth quadrant
Here, the x-axis is at [tex]2\pi \ rad[/tex]
And the reference angle is between [tex]\frac{3}{2}\pi[/tex] and [tex]2\pi \ rad[/tex]
It means that, we have to subtract the reference angle from the x-axis.
So, the terminal angle is:
[tex]\bar \theta = 2\pi - \theta[/tex]
See attachment for illustration of terminal angles
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Final answer:
When dealing with angles in radians and their reference angles, each quadrant has a specific relationship for determining the reference angle based on the given angle θ.
Explanation:
Radian Measure with Reference Angles:
If θ is in QI, then θ hat = θ
If θ is in QII, then θ hat = π - θ
If θ is in QIII, then θ hat = θ - π
If θ is in QIV, then θ hat = 2π - θ
there are 3/4 of a pizza left over from last night how many 1/8 portions are there
Michael sold his house for $548,900, which was 160% of the amount he paid for it. Calculate the amount he paid for the property.
Caroline bought 20 shares of stock at 10 ½, and after 10 months the value of the stocks was 11 ¼. If Caroline were to sell all her shares of this stock, how much profit would she make? A. $210 B. $10 C. $15 D. $225
How many pounds of cashew nuts worth 75 cents a pound must be mixed with 10 pounds of pecans worth $1.50 a pound to make a mixture worth $1.00 a pound? Which of the equations could be used to solve for p, the pounds of cashew nuts?
Three friends all live on the same street that runs west to east. Ben lives 4 blocks from Ann. Carl lives 2 blocks from Ben. If the street is represented by a number line and Ann's house is located at 0, what are the possible locations for Carl's house?
Answer:
The possible locations are,
2, -2, 6 or -6
Step-by-step explanation:
Given,
The location of Ann's house in the number line = 0,
∵ Ben lives 4 blocks from Ann.
So, the possible location of Ben's house = 4 ( right of ann's house ) or - 4 ( left of ann's house )
Now, Carl lives 2 blocks from Ben,
So, the possible location of Carl's house
Case 1 : If Ben's house location is 4 = 2 ( left of ben's house ) or 6 ( right of ben's house )
Case 2 : If Ben's house location is -4 = -2 ( right of ben's house ) or -6 ( left of ben's house )
The possible locations of Carl's house are - 6, 6, 2 or - 2
Let :
Ben's location = B
Carl's position = C
Ann's position = A
Using the Number line illustration :
Ann's position = 0
Ben's possible positions :
4 blocks(units) from Ann = ± 4Carl's location :
2 blocks from Ben-4 ± 2 = (-4 - 2) or (-4 + 2) = - 6 or - 2 +4 ± 2 = (4 + 2) or (4 - 2) = 6 or 2Learn more : https://brainly.com/question/16191404?referrer=searchResults
Algebra help me please ILL MARK BRAINIEST
Find the simple interest. Principal $200 rate 13% time 33 months. The interest is $ nothing. (Round to the nearest cent.)
Reina and Sam are multiplying (84)5 (73)9. Reina's Work Sam's Work (84)5 (73)9 = 84 + 573 + 9 = 89712 (84)5 (73)9 = 84⋅573⋅9 = 820727 Is either of them correct? Explain your reasoning.
What is the greatest common factor of 12 and 42
The greatest common factor of 12 and 42 is 6.
What is Number system?A number system is defined as a system of writing to express numbers.
We need to find the greatest common factor of 12 and 42.
The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
The factors of 12 are 1, 2, 3, 4,6 and 12.
The factor of 42 are 1, 2, 3, 6, 7, 14, 21 and 42.
Let us find the common factors of 12 and 42.
The common factors are 1, 2 , 3, 6.
Among the common factors which is greatest value.
Among 1,2,3 and 6 the number 6 is greatest.
Hence, the greatest common factor of 12 and 42 is 6.
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A person who is 6ft tall walks away from a streetlight. When the person is 15 feet away from the light, the tip of his shadow is 5 feet in front of him. Find the height of the streetlight
A driveway is 40 yards long. About how many meters long is it? Round to the nearest hundredth
Solve the absolute value equation. |x| = –45