5 (n/2+1/2+1/2),1/2+5n+1
Sanjay determined that one
vertex of a figure was mapped to its image by
translating the point 2 units left and 7 units
down. What is the rule that maps the other
vertices of the figure to their images?
Answer:
T<-2, -7> (x, y)
Step-by-step explanation:
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points. The rule that maps the other vertices of the figure to their images is T<-2, -7> (x, y).
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
Given that Sanjay determined that one vertex of a figure was mapped to its image by translating the point 2 units left and 7 units down.
In order to translate coordinates, 2 units left we need to subtract 2 units from the x-coordinate of the point, while to translate the point 7 units down we need to subtract 7 from the y-coordinate of the point.
Therefore, the rule that maps the other vertices of the figure to their images is,
(x₁, y₁) = (x-2, y-7), ot it can bse written as T<-2, -7> (x, y),
where x₁ and y₁ are the coordinates of the point after translation.
Hence, the rule that maps the other vertices of the figure to their images is T<-2, -7> (x, y).
Learn more about Coordinates here:
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Esmeralda cut out two paper rectangles and glued them together as shown in the figure.
Find the area of the Esmeralda's composite figure.
A)32 cm
B)40 cm
C)48 cm
D)56 cm
The perimeter of parallelogram ABCD is 46 inches.
What is DA?
Answer:
Not enough information.
Step-by-step explanation:
AB + BC + CD + DA = 46
In a parallelogram, opposite sides are congruent.
AB + DA + AB + DA = 46
2AB + 2DA = 46
We have two unknowns and only one equation.
There is not enough information to answer the question.
Give the sum in simplest form: 2x/w + y/w
Answer:
[tex]\frac{2x+y}{w}[/tex]
Write an Equation using the following arithmetic sequence: 24, 18, 12
Answer:
24-18=6+6+12
hope this helps you!!
Step-by-step explanation:
Help plssssssssssssssss question 13!!!!
Answer:
13) 60
Step-by-step explanation:
13)
7*9 - 8 + 11 - 6 (Multiply 1st)
63 - 8 + 11 - 6 (Solve from left to right since it's addition/subtraction)
60
Of the students in the college, 60% of the students reside in the hostel and 40% of the students are day scholars. Previous year result reports that 30% of all students who stay in the hostel scored A Grade and 20% of day scholars scored A grade. At the end of the year, one student is chosen at random and found that he/she has an A grade. What is the probability that the student is a hostlier?
Answer:
9 / 13
Step-by-step explanation:
From the question :
Let :
Hostel students = h
Day students = d
Students with A grade = a
P(h) = 60% = 0.6
P(d) = 40% = 0.4
P(hostel with A grade) ; P(A / H) = 0.3
P(day with A grade) ; P(A / D) = 0.2
The probability that a student picked at random withbA grade is an hostel student is given as :
Probability of being an hostel student gun he has A :
P(H | A) = (P(A/H) * P(H)) ÷ P(A/H) * P(H) + P(A/D) * P(D))
P(H | A) = (0.3 * 0.6) ÷ ((0.3*0.6) + (0.2*0.4))
P(H | A) = 0.18 ÷ (0.18 + 0.08)
P(H | A) = 0.18 ÷ 0.26
P(H | A) = 9 / 13
Please help thank you so mcuh
Answer:
7.0
Step-by-step explanation:
Right angled triangle. To find the hypotenuse, use Pythagorean theorem.
Hypotenuse² = base² + altitude²
= 6.5² + 2.7²
= 42.25 + 7.29
= 49.54
hypotenuse = √49.54 = 7.04 = 7
Step-by-step explanation:
by using Pythagoras law
h²=p²+b²
missing angle =h let
h²=(2.7)²+(6.5)²
h=√(49.50)=7.03=7
5. Use coordinate notation to describe the
dilation. (Example 3)
Answer:
This is a reduction dilation :)
Step-by-step explanation:
Mr. Kraft bought a case of monster energy drinks. It was on sale for 20% off. He paid $24. What was the original price?
Answer:
$30
Step-by-step explanation:
To find the original price, divide the new price by 0.8
24/0.8
= 30
So, the original price was $30
Answer:
30 dollars
Step-by-step explanation:
To make a certain shade of paint, Frazier mixed 4/9 cups of white paint with 2 and 2/9 cups of blue paint.
How many cups of blue paint should she mix with 6/7 cups of white paint to make the same shade?
good luck:)
Answer:
Here, it's ratio
Step-by-step explanation:
4/9: 2 and 2/9
simplify
1:5
6/7:x
6/7 x 5 is....
30/7
Mixed number is 4 2/7
BLAM!!!
Simplify Using Laws of Exponent (4x^-2)^3
Answer:
64*x^-6
Step-by-step explanation:
Simplify Using Laws of Exponent (4x^-2)^3
Given data
(4x^-2)^3
Let us open the bracket
=4^3*x^-2*3
=64*x^-6
=64x^-6
Hence the equivalent is
64*x^-6
Can someone help me, what do I put in the 4 boxes below?
Answer:
so simple pls follow up..
Inbox me
The height of a skydiver jumping out of an airplane is given by n = -16t^2 + 3200. How long will it take the skydiver to reach the ground? Round to the nearest tenth of a second.
Answer:
0 = -16t² + 3200 → 16t²= 3200 → t² = 200 → t = 10√2 s ≈ 14 s
The time taken by the skydiver to reach the ground is 14.1 second.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
Given that, the height of a skydiver jumping out of an airplane is given by n = -16t² + 3200.
Here, n=0
-16t² + 3200=0
-16t²=-3200
t²=200
t=√200
t=14.14
t=14.1 second
Therefore, the time taken by the skydiver to reach the ground is 14.1 second.
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Plssss help! Find the perimeter of each polygon. Assume that lines which appear to be tangent.
Answer:
11) 75.2
12) 44.2
Step-by-step explanation:
angles formed by intersecting lines tangent to a circle are the same length.
11)
Perimeter = 2(5) + 2(12) + 2(11.4) + 2(9.2) = 75.2
12)
Perimeter = 2(4) + 2(8) + 2(5.3) + 2(4.8) = 44.2
David can jog 3.5 miles in 75 minutes. What is David’s jogging rate per hour?
PLEASE SHOW YOUR WORK!!!!
will give brainliest!
HELP WILL MARK BRAINLIEST IF GOTTEN RIGHT!!!!!
Answer:
B) ΔGRS ≈ ΔART by SAS Similarity
Step-by-step explanation:
Which measurements are less than 5 yards?
Please help with any of this Im stuck and having trouble with pre calc is it basic triogmetric identities using quotient and reciprocal identities
How I was taught all of these problems is in terms of r, x, and y. Where sin = y/r, cos = x/r, tan = y/x, csc = r/y, sec = r/x, cot = x/y. That is how I will designate all of the specific pieces in each problem.
#3
Let's start with sin here. [tex]\frac{2\sqrt{5}}{5} = \frac{2}{\sqrt{5}}[/tex] Therefore, because sin is y/r, r = [tex]\sqrt{5}[/tex] and y = +2. Moving over to cot, which is x/y, x = -1, and y = 2. We know y has to be positive because it is positive in our given value of sin. Now, to find cos, we have to do x/r.
cos = [tex]\frac{-1}{\sqrt{5}} = \frac{-\sqrt{5}}{5}[/tex]
#4
Let's start with secant here. Secant is r/x, where r (the length value/hypotenuse) cannot be negative. So, r = 9 and x = -7. Moving over to tan, x must still equal -7, and y = [tex]4\sqrt{2}[/tex]. Now, to find csc, we have to do r/y.
csc = [tex]\frac{9}{4\sqrt{2}} = \frac{9\sqrt{2}}{8}[/tex]
The pythagorean identities are
sin^2 + cos^2 = 1,
1 + cot^2 = csc^2,
tan^2 + 1 = sec^2.
#5
Let's take a look at the information given here. We know that cos = -3/4, and sin (the y value), must be greater than 0. To find sin, we can use the first pythagorean identity.
sin^2 + (-3/4)^2 = 1
sin^2 + 9/16 = 1
sin^2 = 7/16
sin = [tex]\sqrt{7/16}[/tex] = [tex]\frac{\sqrt{7}}{4}[/tex]
Now to find tan using a pythagorean identity, we'll first need to find sec. sec is the inverse/reciprocal of cos, so therefore sec = -4/3. Now, we can use the third trigonometric identity to find tan, just as we did for sin. And, since we know that our y value is positive, and our x value is negative, tan will be negative.
tan^2 + 1 = (-4/3)^2
tan^2 + 1 = 16/9
tan^2 = 7/9
tan = -[tex]\sqrt{7/9} = \frac{-\sqrt{7}}{3}[/tex]
#6
Let's take a look at the information given here. If we know that csc is negative, then our y value must also be negative (r will never be negative). So, if cot must be positive, then our x value must also be negative (a negative divided by a negative makes a positive). Let's use the second pythagorean identity to solve for cot.
1 + cot^2 = [tex](\frac{-\sqrt{6}}{2})^{2}[/tex]
1 + cot^2 = 6/4
cot^2 = 2/4
cot = [tex]\frac{\sqrt{2}}{2}[/tex]
tan = [tex]\sqrt{2}[/tex]
Next, we can use the third trigonometric identity to solve for sec. Remember that we can get tan from cot, and cos from sec. And, from what we determined in the beginning, sec/cos will be negative.
[tex](\frac{2}{\sqrt{2}})^2[/tex] + 1 = sec^2
4/2 + 1 = sec^2
2 + 1 = sec^2
sec^2 = 3
sec = -[tex]\sqrt{3}[/tex]
cos = [tex]\frac{-\sqrt{3}}{3}[/tex]
Hope this helps!! :)
Answer:
sin(θ)=√7/4
tan(θ)= - √7/3
Step-by-step explanation:
c^2= √(4^2-(-3^2))
c^2= √(16-9)
c^2= √7
sin(θ)= opp/hyp=√7/4
tan(θ)= (opp )/adj= - √7/3
Why am i wrong? Trigonometric Ratios. Real answers only!
Answer:
You may have gotten the opposite and adjacent mixed up.
[tex]\frac{24}{7}[/tex]
Step-by-step explanation:
An easy way to remember these trigonometric ratios is by using SOHCAHTOA, where:
SOH stands for-
[tex]Sine=\frac{Opposite}{Hypotenuse}[/tex]
CAH stands for-
[tex]Cosine=\frac{Adjacent}{Hypotenuse}[/tex]
TOA stands for-
[tex]Tangent=\frac{Opposite}{Adjacent}[/tex]
We are asked to find tan 74° given the right triangle. To find this, we must find the lengths of the opposite side and the adjacent side of the 74° angle. From looking at the triangle, we can see that the side opposite from the 74° angle is 24, and the adjacent is 7. So plugging it into the trigonometric ratio that we found using SOHCAHTOA, we find that:
[tex]tan74=\frac{24}{7}[/tex]
So the answer would be [tex]\frac{24}{7}[/tex]
Seeing as how you picked [tex]\frac{7}{24}[/tex] as your answer, it seems that you may have gotten the opposite and the adjacent mixed up or used [tex]tangent=\frac{adjacent}{opposite}[/tex] as your trigonometric ratio.
I hope you find my answer and explanation to be helpful. Happy studying.
Randy rented a rectangular storage shed with the volume of 357 ft does it sheds height is 8 and 1/2 ft and the width of is 6 ft what is the length of the shed
Answer:
7 feets
Step-by-step explanation:
Volume of shed, V = 357 feet³
Height of shed, H= 8 1/2 fts
Width of shed, W = 6 ft
Using the relation :
Volume = Length * width * height
357 = L * 6 ft * 17/2 feets
357 feets³ = L * 51 feets²
L = 357 feets³ / 51 feets²
Length, L = 7 feets
Sarah is creating a triangular birthday card for her teacher. In order to glue lace
around the outside of the card, Sarah needs to know the length of each side. She
knows that two of the sides measure 4 inches and 9 inches. Between which two
numbers must the third side of the card fall?
Answer:
6-12.
Step-by-step explanation:
Between 6 to 12 two numbers must the third side of the card fall.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that Sarah is creating a triangular birthday card for her teacher.
Thus in order to glue lace around the outside of the card, Sarah needs to know the length of each side.
It should be known that two of the sides measure 4 inches and 9 inches.
Therefore, in between 6 to 12 the third number must be lie.
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What is 3200(0.045)(8)?
Answer:
1152
Step-by-step explanation:
A line intersects the points (-22, -14) and (-18, -12). What is the slope-intercept equation for this line? y=x+ [] Simplify the fraction completely.
Answer:
y=0.5x-3
Step-by-step explanation:
m=(-12+14)/(-18+22)=0.5
y+14=0.5(x+22)
y=0.5x-3
The image is above :)
What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form,
Answer:
mx+b=y
200x+800=y
Step-by-step explanation:
it starts at 800 which is the y intercept
x is multiplied by 200
and y is the solution
Do not press the file
hopes this helps <3
Help please it will mean a lot to me
Answer: Whole= Part x %/100
Step-by-step explanation:
All of the other equations are algabraecally correct when solving for either part whole or percent but Whole [tex]\neq[/tex] Part x %/100
!!!!!!! I NEED THE WORK PLS ILL GIVE BRAINLIST!!!
Answer:
1. 4 and 4sqrt2
2. 6sqrt2 and 6sqrt2
3. 5 and 5sqrt2
4. 5sqrt2 and 5sqrt2
5. 6 and 6
6. 8 and 8sqrt2
7. sqrt3 and sqrt6
8. sqrt2 and sqrt4
Step-by-step explanation:
The Parkview middle school football team will be playing in the state championship the cochairs free tickets that he would be distributing to his 52 football players to give to their friends and family if you would like to give each player at least three tickets how many total tickets Must he have
Answer: 156
Step-by-step explanation: 52*3=156 tickets
can someone help me out in this, ill give brainliest if correct, you can answer by doing it in a paper and taking a picture of it or just find out another way
Answer:
Answering so you can give other person branliest
Nred help, this shape have 9 edges and 6 faces help?
Answer:
Triangular prism
Step-by-step explanation:
A triangular prism has 9 edges, 6 vertices and 5 faces. I don't think there is any other shape which fits 9 edges and 6 faces.