Given:
The point is located at P(4,7).
It is translated along [tex]\left<1,3\right>[/tex].
To find:
The image of the given point after the translation.
Solution:
The point is translated along [tex]\left<1,3\right>[/tex]. So, the rule of translation is defined by:
[tex](x,y)\to (x+1,y+3)[/tex]
The point is located at P(4,7).
Using the above rule, we get
[tex]P(4,7)\to P'(4+1,7+3)[/tex]
[tex]P(4,7)\to P'(5,10)[/tex]
The image of given point after the translation is (5,10).
Therefore, the correct option is A.
Determine the values of the unlabeled parts of the triangle.
OA) ZQ = 63.4°, PQ = 1.84, QO = 4.47
OB) ZQ = 26.6°, PQ = 2, QO = 5.12
OC) ZQ = 63.4º, PQ = 2, QO = 4.47
D)
ZQ = 63.4°, PQ = 1.84, QO = 5.12
Answer:
∠Q = 63.4º, PQ = 2, QO = 4.47
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. There are different types of triangles such as the equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.
Triangle POQ is a right angled triangle because ∠P = 90°. Also, ∠O = 26.6°.
Therefore in ΔPOQ: ∠P + ∠O + ∠Q = 180° (sum of angles in a triangle).
90 + 26.6 + ∠Q = 180
∠Q + 116.6 = 180
∠Q = 180 - 116
∠Q = 63.4°
We can find PQ and QO using sine rule. Sine rule for ΔPOQ is given as:
[tex]\frac{PO}{sin Q}= \frac{PQ}{sinO}= \frac{QO}{sin P}\\\\Finding\ PQ :\\\\\frac{PO}{sin Q}= \frac{PQ}{sinO}\\\\\frac{4}{sin(63.4)} =\frac{PQ}{sin(26.6)}\\\\PQ= \frac{4}{sin(63.4)} *sin(26.6)\\\\PQ = 2\\\\Also\ finding\ QO:\\\\\frac{PO}{sin Q}= \frac{QO}{sinP}\\\\\frac{4}{sin(63.4)} =\frac{QO}{sin(90)}\\\\QO=\frac{4}{sin(63.4)} *sin(90)\\\\QO = 4.47[/tex]
Identify the domain and range, then evaluate each function for the given value of x.
(I do not need much help for the domain and range but mostly the "Find f(5)"
Answer:
See below
Step-by-step explanation:
Domains are the first values and range are the second values given in the brackets.
Domain = {10, - 2, 5, 3}
Range = {7, 4, 3, 10}
I the third bracket, at x = 5, y is 3.
So,
f(5) = 3
please let me know if these are right or wrong!! 20 points!!
Answer: I believe they are all correct
Step-by-step explanation:
Jenna made 10 cookies on blah buster day. She ate one of them her brother 0.2o f the cookies her little sister ate 1/5 of them how many cookies were left
Answer:
Jenna has 6 and 4/5 cookies left.
Step-by-step explanation:
Jenna starts with 10 cookies. She eats 1, her brother eats 2, and her little sister eats 1/5. If you add up all the cookies they ate. that would be 3 1/5 cookies they ate. So, 6 and 4/5 cookies are left.
ps. give me brainliest pls
The perimeter of a certain scalene triangle is 100 inches. The side lengths
of the triangle are represented by 5x, 3x+30, and 2x+10, respectively. What
is the length, in inches, of the longest side of the triangle?
6
22
30
48
72
Answer:
Step-by-step explanation:
Perimeter =100
the lengths of the sides are 5x+3x+30x+2x+10
5x+3x+30+2x+10=100
10x=100-40
10x=60
x=6
one side is 5x=30
one side 18+30=48
one side 2x+10=12+10=22
the longest side is 48
Longest side of triangle is 48 inches
Given information:
Perimeter of triangle = 100 inches
First side of triangle = 5x
Second side of triangle = 3x + 30
Third side of triangle = 2x + 10
Find:
Length in inches and longest side of the triangle
Computation:
Perimeter of triangle = Sum of all sides
So,
5x + (3x + 30) + (2x + 10) = 100
10x + 40 = 100
10x = 60
x = 10
So,
First side of triangle = 5x = 5(6)
First side of triangle = 30 inches
Second side of triangle = 3x + 30 = 3(6) + 30
Second side of triangle = 48 inches
Third side of triangle = 2x + 10 = 2(6) + 10
Third side of triangle = 22 inches
Longest side of triangle is 48 inches
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Directions: Find the weekly totals and the wages for each employee.
Nicole parks cars. She earns $9.75 per hour plus 10% of the parking fees that are
collected. If the total fees during a 5-hour shift are $360, how much does Nicole
earn?
Answer:
$84.75
Step-by-step explanation:
Given that she earns $9.75 per hour plus 10% of the parking fees that are collected, her income is of 2 folds; an hourly rate and an amount collected based rate.
If the shift is for 5 hours, her income based on
Hourly rate = 5 * $9.75
= $48.75
The amount collected based rate
= 10% * $360
= 10/100 * $360
= $36
Her total earnings will be
= $48.75 + $36
= $84.75
3/4
7. Find the difference of the following fractions.
3
(a) 45-23
(b) 52-4
10 10
5 5
2
(C) 3
6 5
4
9
7
b
9
7
Answer:
Step-by-step explanation:
bhnnj
please help me out, i will mark your answer (if it’s correct) as a brainiest:)
Answer:
1. 5IN = 9 OUT
2. -3 IN= -7 OUT
3. 4 IN = 7 OUT
4. -9 IN = -20 OUT
Step-by-step explanation:
Justin biked the same distance every day in the park after school. On Saturday he biked an additional 9 miles, and on Sunday he biked another 12 miles. If Justin biked a total of 86 miles in the 7-day period, how far did he bike each day after school?
2. An Airbus A320 jet flies 5 hours west with a 40-mph tailwind. Returning against the wind takes 7 hours. Find
the speed of the jet with no wind.
HELP ASAPP please show your work
Answer:
240
Step-by-step explanation:
What is the area of the pentagon shown? 16 cm 15 cm 18 cm 20 cm 360 cm2 354 cm2 300 cm2 297 cm2
2(1/4d)+d=96 answer is possibly 64 is that correct?
Answer:
64
Step-by-step explanation:
2x(1/4 d)+d=96 (Rewrite the expression)
2x1/4d+d=96 (Reduce the numbers)
1/2d+d=96(Calculate)
3/2d=96 (Multiply both sides)
d=64
In 2010, the government took out 6.2% of earnings for Social Security to a maximum taxable income of $106,800. For Medicare, 1.45% of earnings was paid. How much money would someone have to have earned in 2010 so that their payments into Medicare were equal to their payments into Social Security?
9514 1404 393
Answer:
$456,662
Step-by-step explanation:
The amount paid to Social Security is a maximum of ...
6.2% × $106,800 = 6,621.60
If we want an equal amount paid to Medicare, we want ...
1.45% × earnings = $6,621.60
earnings = $6,621.60/0.0145 ≈ $456,662
Someone would have to earn $456,662 so that their Social Security and Medicare payments were equal.
Only do 14 please help asap 65 points
A part is the answer.
please mark me brainliest and follow me my friend.
9/45 how to simplify to it lowest term
Answer:
1/5
Step-by-step explanation:
divide numerator and denominator by 9.
(Because that will go into both 9 and 45.)
9/45 = 1/5
Please help! This is due in 20 minutes.
Answer: the answer is C 190
Step-by-step explanation:
i promise this is the answer
is y= -6x proportional?
Answer:
yes
Step-by-step explanation:
What is the equation of the line that passes through the point (3.4) and has a slope of 5?
Answer:
y = 5x - 11
Step-by-step explanation:
The equation is y = mx+b where m is the slope and b is the y intercept
y = 5x + b (now lets substitute the coordinate in to solve for b)
4 = 5(3) + b
4 = 15 +b
b = -11
y = 5x - 11
Solve for x:
-2.3(x + 1.5) = -10.35
Question 2 options:
x = -6
x = -3
x = 3
x = 6
Answer:
-6
Step-by-step explanation:
there is a negative so it's a negative number you add the equation you divide the answer by 2 then you get your answer.
Which list includes all of the factors of 24?
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24
0,1,2, 3, 4, 6, 8, 12
12, 24, 48, 96
1, 2, 3, 4, 6, 8, 12, 24
Answer:
0 1 2 3 4 6 8 12 24
Step-by-step explanation:
factors of 24
1. The function f(x)=-3-2 has a domain of the following values {0,4,-1}. Show the domain and range in the mapping diagram below.
2. For what values of x, would not be in the domain of the function y= ⟌ x+4?
A. X=0
B. X=5
C. X=-3
D. X=-8
Explain:
(Plz help me T_T)
Point A is the pre-image of a vertex of a square and is located at (-10, 8). The square is dilated with the center of dilation at the origin. Point A' is the image and us located at (-7, 6). What is the scale factor of the dilation?
Answer:
when no one answers ur question
Step-by-step explanation
Answer:
2.5
Step-by-step explanation:
Question 7
5x = 24 - x
Card 3 of 7
6.2.15 Practice 3
Last month, there were 4 sunny days for every rainy day.
1. If there were 30 days in the month, how many days were rainy?
Type the answer in the box below.
rainy days
How do I get the answer
Answer:
Step-by-step explanation7:
Answer:
the answer is 26
Step-by-step explanation:
hope that helped because 30-4
The graph shows the number of hours driven and the number of miles traveled.
PLEASE HELP ASAP 50 POINTS
Use the ordered pairs from the graph to fill in the missing values in the table.
Enter your answer by filling in the boxes.
Answer:
x is 4 when y is 180
y is 540 when x is 12
Step-by-step explanation:
The ordered pair to complete the table is (4, 180), (8, 360), and (12, 540).
What is graph?A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
Given:
From the graph, at y = 180 miles, x = 4 hours
At x = 8 hours, y = 360 miles,
At x = 12 hours, y = 540 miles,
You can also calculate this by the concept of ratio,
8 / 360 = 12 / y
8y = 12 × 360
y = 4320 / 8
y = 540 miles
Therefore, the ordered pair to complete the table is (4, 180), (8, 360), and (12, 540).
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F(1)=_________________________
Answer:
f(1) = 1
Step-by-step explanation:
The value of f(1) simply means what is the corresponding output we would get for an input of 1.
This also implies that for what of y is x equal to 1?
From the graph, when x = 1, y = 1.
Thus:
f(1) = 1
Please answer this correctly without making mistakes I want experts and ace people to answer this correctly without making mistakes
Divide. Write your answer using the smallest numbers possible.
9,185 miles 380 yards divided by 4,590
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Answer:
2 miles 2 yards
Step-by-step explanation:
There are 1760 yards in a mile, so you are effectively performing the division ...
(9185 380/1760) ÷ 4590
where the number in parentheses is a mixed number of miles.
You do this division the same way you do any mixed-number division. There are different possible methods you can use. One of them is to convert the mixed number to an improper fraction, then divide.
9185 380/1760 = 9185 19/88 = (88·9185 +19)/88 = 808299/88
Then this is divided in the usual way:
[tex]\dfrac{808299}{88}\div4590=\dfrac{808299}{88\cdot4590}=\dfrac{808299}{403920}=2\dfrac{459}{403920}=2\dfrac{1}{880}[/tex]
Finding the quotient and remainder is straightforward. Reducing the fraction involves finding common factors in the numerator and denominator. As it turns out, 459 is a factor of 403920, so the fraction reduces as shown.
Now, we need to convert 1/880 miles back to yards.
((1/880) mi) × (1760 yd/mi) = 2 yd
So, the quotient you seek is ...
2 miles 2 yards
If labor costs were $3,000,000 last year and $2,700,000 this year, what percentage decrease was achieved?
A. 3%
B. 7%
C. 10%
D. 30%
≡Smee is walking on a trail in the Everglades when he comes to an alligator-infested lake. He wants to build a bridge across the lake from point B to point A. He walks 36 feet due east of point B and marks another spot, point C, where he drives a stake into the ground. He walks an additional 9 feet due east to point D, then turns due south. He walks 12 feet south to point E, so that points A, C, and E are collinea
Answer:
ABC is similar to EDC and Angle A is congruent to angle C. Width of lake is 48
Step-by-step explanation:
Answer:
i believe it was a is congruent to E
Step-by-step explanation:
What is 1/4 of 12????????
Answer:
3
Step-by-step explanation:
12 divided by 4 is 3. Therefor 1/4 of 12 is 3.
Answer:
3
Step-by-step explanation:
Do 12 times .25!
Hope this helps and have a great day!