Answer:
(3,4) -> (8,3)
(-2,4) -> (3,3)
(-2,5) -> (3,4)
The triangle is translated 5 units to the right and 1 unit down.
Step-by-step explanation:
Add 5 to each x on the (x,y) coordinate and subtract 1 from each y.
Find the common difference (d) of the arithmetic sequence. It it is not arithmetic, enter "None" in the box. 10, 2, -6, -14, -22, ... d =?
==========================================================
Explanation:
Pick any term that isn't the first term. Then subtract off the previous term. If we get the same result each time, then the sequence is arithmetic, and that result is the common difference.
term2 - term1 = 2-10 = -8term3 - term2 = -6-2 = -8term4 - term3 = -14-(-6) = -14+6 = -8term5 - term4 = -22-(-14) = -22+14 = -8We get -8 each time, so the sequence is arithmetic with common difference d = -8. It says to add -8 to each term to get the next term. This is the same as subtracting 8 from each term to get the next term.
Note how:
10-8 = 22-8 = -6-6-8 = -14-14-8 = -22A rectangle has an area of 70 m2 and dimensions, in meters, of x and x + 2. Estimate each dimension of the rectangle to the nearest meter.
Answer:
-7 and - 9
Step-by-step explanation:
Area of rectangule is length *width
does anyone know how to solve this problem?
When you spin a rectangle, what 3D figure do you get? cylinder prism cone sphere
Answer:
A cylinder
Step-by-step explanation:
When you rotate the rectangle you are make a circle but since its volume the original height of the rectangle is the height of the circle which would mean a cylinder.
Answer:
CYLINDER
Step-by-step explanation:
Please help! Find the value of X
Answer:
16.50
Step-by-step explanation:
divide it to the upper thanks
IF YOU AWNSER WROnG YOu ARE DUmmmm. Convert to slope intercopt form 4x + 3y = 6
Answer:
The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope and
b
is the y-intercept.
y
=
m
x
+
b
Step-by-step explanation:
Predict how many times you will roll a number less than 4 if you roll a standard number cube 200 times.
Round to the nearest integer, if necessary.
times.
You will roll a number less than 4 about
Answer:
100 times
Step-by-step explanation:
you have a 3/6 chance of rolling less than 4 once
so you multiply 3/6 times 200- you get 600/6
you simplify 600/6 to 100
100 times is the answer.
Have a fantasical day.
In ΔTUV, the measure of ∠V=90°, UV = 3.3 feet, and TU = 9.8 feet. Find the measure of ∠U to the nearest degree.
Answer:
19.7°
Step-by-step explanation:
In ΔTUV, the measure of ∠V=90°, UV = 3.3 feet, and TU = 9.8 feet. Find the measure of ∠U to the nearest degree.
We make use of sine rule
TU/sin V = UV/sin U
9.8/sin 90 = 3.3/sin U
Cross Multiply
sin 90 × 3.3 = 9.8 × sin U
sin U = sin 90 × 3.3 /9.8
U = arc sin ( sin 90 × 3.3/9.8)
U = 19.7°
Item 7
△ABC has vertices A(−1, 2), B(2, 8), and C(4, 1). Find the measure of each angle of the triangle. Round decimal answers to the nearest tenth.
Answer:
[tex]A = 74.7^\circ[/tex]
[tex]B = 42.5^\circ[/tex]
[tex]C = 62.8^\circ[/tex]
Step-by-step explanation:
Given
[tex]A = (-1,2) \to (x_1,y_1)[/tex]
[tex]B = (2,8) \to (x_2,y_2)[/tex]
[tex]C = (4,1) \to (x_3,y_3)[/tex]
Required
The measure of each angle
First, we calculate the length of the three sides of the triangle.
This is calculated using distance formula
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]
For AB
[tex]A = (-1,2) \to (x_1,y_1)[/tex]
[tex]B = (2,8) \to (x_2,y_2)[/tex]
[tex]d = \sqrt{(-1 - 2)^2 + (2 - 8)^2[/tex]
[tex]d = \sqrt{(-3)^2 + (-6)^2[/tex]
[tex]d = \sqrt{45[/tex]
So:
[tex]AB = \sqrt{45[/tex]
For BC
[tex]B = (2,8) \to (x_2,y_2)[/tex]
[tex]C = (4,1) \to (x_3,y_3)[/tex]
[tex]BC = \sqrt{(2 - 4)^2 + (8 - 1)^2[/tex]
[tex]BC = \sqrt{(-2)^2 + (7)^2[/tex]
[tex]BC = \sqrt{53[/tex]
For AC
[tex]A = (-1,2) \to (x_1,y_1)[/tex]
[tex]C = (4,1) \to (x_3,y_3)[/tex]
[tex]AC = \sqrt{(-1 - 4)^2 + (2 - 1)^2[/tex]
[tex]AC = \sqrt{(-5)^2 + (1)^2[/tex]
[tex]AC = \sqrt{26[/tex]
So, we have:
[tex]AB = \sqrt{45[/tex]
[tex]BC = \sqrt{53[/tex]
[tex]AC = \sqrt{26[/tex]
By representation
[tex]AB \to c[/tex]
[tex]BC \to a[/tex]
[tex]AC \to b[/tex]
So, we have:
[tex]a = \sqrt{53[/tex]
[tex]b = \sqrt{26[/tex]
[tex]c = \sqrt{45[/tex]
By cosine laws, the angles are calculated using:
[tex]a^2 = b^2 + c^2 -2bc \cos A[/tex]
[tex]b^2 = a^2 + c^2 -2ac \cos B[/tex]
[tex]c^2 = a^2 + b^2 -2ab\ cos C[/tex]
[tex]a^2 = b^2 + c^2 -2bc \cos A[/tex]
[tex](\sqrt{53})^2 = (\sqrt{26})^2 +(\sqrt{45})^2 - 2 * (\sqrt{26}) +(\sqrt{45}) * \cos A[/tex]
[tex]53 = 26 +45 - 2 * 34.21 * \cos A[/tex]
[tex]53 = 26 +45 - 68.42 * \cos A[/tex]
Collect like terms
[tex]53 - 26 -45 = - 68.42 * \cos A[/tex]
[tex]-18 = - 68.42 * \cos A[/tex]
Solve for [tex]\cos A[/tex]
[tex]\cos A =\frac{-18}{-68.42}[/tex]
[tex]\cos A =0.2631[/tex]
Take arc cos of both sides
[tex]A =\cos^{-1}(0.2631)[/tex]
[tex]A = 74.7^\circ[/tex]
[tex]b^2 = a^2 + c^2 -2ac \cos B[/tex]
[tex](\sqrt{26})^2 = (\sqrt{53})^2 +(\sqrt{45})^2 - 2 * (\sqrt{53}) +(\sqrt{45}) * \cos B[/tex]
[tex]26 = 53 +45 -97.67 * \cos B[/tex]
Collect like terms
[tex]26 - 53 -45= -97.67 * \cos B[/tex]
[tex]-72= -97.67 * \cos B[/tex]
Solve for [tex]\cos B[/tex]
[tex]\cos B = \frac{-72}{-97.67}[/tex]
[tex]\cos B = 0.7372[/tex]
Take arc cos of both sides
[tex]B = \cos^{-1}(0.7372)[/tex]
[tex]B = 42.5^\circ[/tex]
For the third angle, we use:
[tex]A + B + C = 180[/tex] --- angles in a triangle
Make C the subject
[tex]C = 180 - A -B[/tex]
[tex]C = 180 - 74.7 -42.5[/tex]
[tex]C = 62.8^\circ[/tex]
Answer asap i got school in one hour and forgot to do this (im putting all my points for this)
Answer:
I belive the answer for the first box is 9.67
I belive the answer for the second box is 71.
I hope I helped
Plz help me this would mean the world plz
Answer:
x = 2
4 x 4 = 16
25% of 16 = 4
2 x 2 = 4
i chose 2 bc i said it x -= 25% of the larger squares area meaning it would be 2
Step-by-step explanation:
Tell whether the angles
are
complementary or supplementary. Then find the value of c.
(6x + 1)
290
Answer:
Complementary, x=10
Step-by-step explanation:
Complementary angles mean they add up to 90 degrees.
So 29+(6x+1)=90.
30+6x=90
6x=60
x=10
Answer:
Complementary-------- x= 10
Step-by-step explanation:
only 90 degrees
(6x-1)/2930+6x = 90-----------------------------
3. 6x = 60
=======================
x= 10
Can someone help me with this? Please this would mean so much.
Answers:
x = angle MLN = 35 degrees
angle FLJ = 55 degrees
=================================================
Explanation:
This problem is fairly tricky if you're not sure what to look for. A slight clue is that they've marked a red point that strangely doesn't have a label on it. It's a fairly small point but it's definitely there if you look closely. While this point's location isn't exactly what we want, we're fairly close. Start at point L and draw a ray through the center point P. Ray LP will intersect the circle at point A, as shown in the diagram below.
From here, draw segments FA and MA. Now notice that inscribed angle LMF = 55 and inscribed angle FAL both subtend the same arc. The term "subtend" basically means "cut off". This arc that the inscribed angles subtend is minor arc FL. A minor arc is where you travel the shorter path around the circle, which indicates its measure is less than 180 degrees.
Since inscribed angles LMF and FAL subtend the same minor arc, this makes the inscribed angles to be congruent.
In short: angle FAL is 55 degrees
----------------------
Segment LA goes through the center P. Through Thales theorem, we know that inscribed angle LFA is 90 degrees. Consequently, we can determine that inscribed angle FLA is 90-55 = 35 degrees.
Segment JL is tangent to the circle, meaning that angle ALJ is 90 degrees. So angle FLJ is 90-35 = 55 degrees.
It's not a coincidence that angle FLJ, angle FAL, and angle LMF are the same measure.
----------------------
We found that angle FAL was 55 degrees. Applying Thales theorem again shows that angle MAF is 90 degrees. Therefore, angle LAM is 90-55 = 35 degrees.
Focus now on triangle LMA. This is also a right triangle (Thales Theorem). The upper acute angle we found was angle LAM = 35, so the lower acute angle is ALM = 55.
Then we can find angle MLN = (angle ALN) - (angle ALM) = 90 - 55 = 35
In short, angle MLN = 35 degrees
Similar to the previous section, it is not a coincidence that angles LFM, LAM and MLN are the same measure.
------------------------
As an alternative, since we know angle FLJ = 55, and angle FLM is 90 degrees, this means...
(angle FLJ)+(angle FLM) + (angle MLN) = 180
55 + 90 + angle MLN = 180
145 + angle MLN = 180
angle MLN = 180 - 145
angle MLN = 35 degrees
“Which one doesn’t belong” Explain.
Answer:
Step-by-step explanation:
im not sure but i think its 5
pls answer i need the answer
1 ticket
2 tickets
3 tickets
4 tickets
Answer:
3
Step-by-step explanation:
Answer:
2 tickets
Step-by-step explanation:
a + c = 5
9a + 4c = 30
let a = 5-c
substitute:
9(5-c) + 4c = 30
45 - 9c + 4c = 30
45 - 5c = 30
-5c = -15
c = 3
a = 2
One gallon of gasoline in Buffalo,new York costs $2.29 .Across the border in Toronto,Canada, one liter of gallon costs $0.91
Complete question :
One gallon of gasoline in buffalo, New York costs $2.29. In Toronto, Canada, one liter of gas costs $0.91. There are 3.8 liters in one gallon. How much does one gallon of gas cost in Toronto?
Answer:
$3.458
Step-by-step explanation:
Given that :
Cost per gallon in Buffalo, New York = $2.29
Cost per Litre in Toronto, Canada = $0.91
Number of litres in 1 gallon = 3.8
The cost per gallon in Toronto, Canada will be :
3.8 * cost of a Litre
3.8 * $0.91 = $3.458
Hence, cost of a gallon in Toronto, Canada = $2.73
What is the value of y?
Answer:
y = 66
Step-by-step explanation:
Exterior angles thm:
y + y - 31 = y + 35
2y - 31 = y + 35
2y - y = 35 + 31
y = 66
1. 20% of 150 is what number?
Answer:
30
Step-by-step explanation:
First, you have to convert 20% into a decimal.
Explanation:
20 ÷ 100 = 0.2
Now multiply 0.2 by 150
Explanation:
0.2 × 150 = 30.
Therefore, 20% of 150 is 30.
solve for system of linear equations by substitution
y = 2x + 3
y = 3x + 5
Answer:
(- 2, - 1 )
Step-by-step explanation:
Given the 2 equations
y = 2x + 3 → (1)
y = 3x + 5 → (2)
Substitute y = 3x + 5 into (1)
3x + 5 = 2x + 3 ( subtract 2x from both sides )
x + 5 = 3 ( subtract 5 from both sides )
x = - 2
Substitute x = - 2 into either of the 2 equations and evaluate for y
Substituting into (1)
y = 2(- 2) + 3 = - 4 + 3 = - 1
solution is (- 2, - 1 )
Question 3 (1 point)
Mrs. Randolph has 39 math books and 57 science books that she needs to put in boxes. Each box can hold 8 books. How many
boxes does Mrs. Randolph need? Explain.
In a standard deck of card there are 52 cards total. Find the number of possible 5 hand cards that contain 3 queens and 2 kings.
Answer:
The probability of choosing 3 kings and 4 queens out of the 8 (4+4) kings and queens is given by 0.42857
Step-by-step explanation:
There are 4 queens and 4 kings in a deck of 52 cards. So we have to choose 5 cards having 3 queens and 2 kings out of the 52
Therefore the combinations can be written like this 8C5= 56 ways
And the probability this can be chosen is given by
4C3*4C2/8C5
=4*6/56
=24/56
=0.42857
The probability of choosing 2 kings and 3 queens out of the 8 (4+4) kings and queens is given by 0.42857 or 24/56
Below. What is m∠1?
m∠1 =
Answer:
70 degrees
Step-by-step explanation:
- 7th Grade Work -
A bagel shop offers a mug filled with coffee for $7.75, with each refill costing $1.25. Kendra spent $31.50 on the mug and refills last month. How many refills did Kendra buy?
Answer:
19
Step-by-step explanation:
hope this helps with the problem
Find x
Secant tangent angles
ILL MARK BRAINLIEST!!!
Answer:
[tex]x = \frac{50 + 92}{2} = 71[/tex]
A line is reflected. Which of these could be the result?
O A.
B.
O c.
/
OD.
Answer:
C
Step-by-step explanation:
I believe the answer would be C because its the only actual line on a graph.
A Is a line segment
D is a ray
(I'm not sure what the exact name for the one on graph B is.)
Answer:
the answer ic C!
Step-by-step explanation:
AP EX
please, help me with this fast!! I'm giving points!!!!
Answer:
Step-by-step explanation:
c circle
Solve the following expression if x = 5 and z = 8. x + (-z)
Answer:
z = 20 , x = 5
Step-by-step explanation:
help me with this question
Answer:
960 cm³ I think it may be correct
Solve: 7×-4=-8×+8
hurry!
Answer:
x = 4/5
FILLER FILLER FILLER
Aunt Betty uses oranges and pineapples to make 12 pounds of fruit salad. If oranges weigh 0.5 pounds each and pineapples weigh 2 pounds each, and she uses 21 fruits in all, find the number of oranges and the number of pineapples she uses
define variables and write two equations to model the situation described in the problem
Answer:
pecuniary purveyors organization irreversible