Given:
Consider the three points are A(-1,1), B(1,-2) and C(0,-4).
These points rotated 270 degrees by the origin.
To find:
The coordinates of points after rotation.
Solution:
If a figure rotated 270 degrees by the origin, then
[tex](x,y)\to (y,-x)[/tex]
Using this rule of transformation, we get
[tex]A(-1,1)\to A'(1,1)[/tex]
[tex]B(1,-2)\to B'(-2,-1)[/tex]
[tex]C(0,-4)\to C'(-4,0)[/tex]
Therefore, the points after rotation are A'(1,1), B'(-2,-1) and C(-4,0).
Jeremy is making a healthy ice cream using only ripe bananas and peanut butter, the recipe makes 4 servings and calls for a ratio of 5
bananas to 3 tablespoons of peanut butter if Jeremy has 30 bananas, how many tablespoons of peanut butter does he need
Tablespoons
Answer:
can u show me a pic of the question so it is easier
The healthy ice cream Jeremy is making has 30 bananas and requires 18 tablespoons of peanut butter.
What is a ratio?The ratio describes the amount of quantity in simplest form, a:b can be written as 'a/b' for convenience.
Given the healthy ice cream, Jeremy is making requires 5 bananas and 3 tablespoons of peanut butter.
From the given question itself, we can conclude that bananas and peanut butter are in direct proportion as the increase in one quantity will result in an increase of another quantity and we can write this in proportion and let the no. of tablespoons of peanut butter requires for 30 banans is x.
∴ 5 : 3 : : 30 : x.
Or
5/3 = 30/x.
5x = 90.
x = 18.
So, Jeremy needs 18 tablespoons of peanut butter for the 30 bananas he has.
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WHENS MY BDAY I SAID THIS
Answer:
reeee whenever it was happy bday ily by :)
Medicare Hospital Insurance The average yearly Medicare Hospital Insurance benefit per person was $4064 in a recent year. Suppose the benefits are normally distributed with a standard deviation of $460. Round the final answers to at least four decimal places and intermediate z-value calculations to two decimal places.
Answer:
The answer is "0.0764"
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\to \mu = \$ \ 4064\\\\\to \sigma = \$ \ 460 \\\\\to \sigma \bar{x} = \frac{\sigma}{\sqrt{n}}\\\\[/tex]
[tex]= \frac{460}{\sqrt{21}}\\\\ = \frac{460}{4.58257569}\\\\=100.3802[/tex]
[tex]\to P(\bar{x}< \$ \ 3920) = \frac{P((\bar{x} - \mu \bar{x})}{\frac{\sigma \bar{x}<(3920 - 4064)}{100.3802)}}[/tex]
[tex]\to P(z < -1.43) = 0.0764 \\\\\to P(\bar{x}< \$ \ 3920) = 0.0764\\\\[/tex]
Name the subset(s) of real numbers to which each number belongs. Then order the numbers from least to greatest.
45−−√ , 16/5 , −1
Answer:
I'm assuming 45−−√ is [tex]\sqrt{45}[/tex], and that it belongs to the subset of irrational numbers.
16/5 is a rational number, and -1 is an integer.
All numbers belong to the subset of real numbers.
Step-by-step explanation:
Hope this helped!
PLEASE HELP ME !!!
:(
Answer:
Step-by-step explanation:
G is the incenter of ΔABC,
Incenter of a triangle is defined by the point where angle bisectors of the interior angles intersect.
10). m∠ABG = m∠CBG = 25°
11). m∠BCG = m∠ACG = 18°
Therefore, m∠BCA = m∠BCG + m∠ACG = 2×18° = 36°
12). m∠ABC + m∠BAC + m∠ACB = 180°
2(25)° + m∠BAC + 36° = 180°
m∠BAC = 180° - 86° = 94°
13). m∠BAG = [tex]\frac{1}{2}[/tex](m∠BAC) = 47°
14). Since, incenter is equidistant from all sides of the triangle,
Therefore, DG = GF = FE = 4 units
15). In right triangle BEG,
tan(25)° = [tex]\frac{\text{GE}}{\text{BE}}[/tex]
BE = [tex]\frac{\text{GE}}{\text{tan}25}[/tex]
= [tex]\frac{4}{\text{tan}25}[/tex]
BE = 8.6
16). In right triangle BEG,
cos(25)° = [tex]\frac{\text{4}}{\text{BG}}[/tex]
BG = [tex]\frac{4}{\text{cos}25}[/tex] = 4.4
17). In right triangle GEC,
sin(18)° = [tex]\frac{\text{GE}}{\text{GC}}[/tex]
GC = [tex]\frac{\text{4}}{\text{sin}(18)}[/tex] = 12.9
The Height H(t) (in feet) of a projectile fired vertically into the air from the ground is given by the equation H(T) = -16t^2 + 96t, where t is time (in sec) after the launch.
A) How long will it take the projectile to reach its maximum height?
B) What is the maximum height?
C) How long does it take the projectile to reach the ground again.
Answer:
a) 3s
B) 144m
C) 6s
Step-by-step explanation:
Given the height modeled by the function;
H(T) = -16t^2 + 96t,
The body will reach its maximum height when dh/dt = 0 (when velocity is zero)
dh/dt = -32t + 96
0 = -32t + 96
32t = 96
t = 96/32
t = 3s
Hence it will take the projectile 3s to reach its maximum height'
B) To get the maximum height we will substitute t = 3 into the equation
H(T) = -16t^2 + 96t,
H(3) = -16(3)^2 + 96(3)
H(3) = -144+ 288
H(3) = 144m]
Hence the maximum height is 144m
C) The projectile reaches the ground at h = 0
H(T) = -16t^2 + 96t,
0= -16t^2 + 96t,
16t² = 96t
16t = 96
t = 96/16
t = 6
Hence it will take the projectile 6s to reach the ground again
LAST QUESTION PLEASE HELP FAST ILL GIVE MY LAST POINTS FOR CORRECT ANSWER
Answer:
70° and 20°
Step-by-step explanation:
trust me and mark me brainliest
If point E is the midpoint of segment AC and point D is the midpoint of segment BC, which expression represents the value of u?
A. u equals p over q
B. u = 1/2s
C. u equals q over p
D. u = 2s
Answer:
last answer D
i took the test
The expression that most effectively represents u's value would be:
D). u = 2s
What is expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation.
Given that,
In ΔABC, E is the midpoint in the segment AC and D is the midpoint of BC.
Now,
CE = 0.5 × AC(midpoint)
CD = 0.5 × CB (midpoint)
Thus,
CE/AC = CD/CB = ED/AB = 1/2
As ED = s and AB = u
So, u = 2s
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The sum of a number, x, and 1/2 is equal to 4. Which set of equations correctly represents x?
Answer:4=1/2x
X=8
Step-by-step explanation:
A survey of 2400 was given to people who owned a certain type of car, 1080 said they would buy that type of car again. What percent of the people surveyed were completely satisfied with the car.
Answer: 45% were completely satisfied with the car.
Step-by-step explanation: You have to divide 1080 by 2400 and then change the deciman into a percentage.
help i asked this 3 times i will do brainliest no troll answers!
Answer:
Number two
Exact Form:
11/2
Decimal Form:
5.5
Mixed Number Form:
5
1/2
Step-by-step explanation:
sorry I do not know one hope this helps please mark brainliest
Jamie is painting her house. Each room takes ½ of a liter of paint. If Jamie has 3 liters of paint, how many rooms can she paint? *
PLEASE HELP ME!!!!!! Write the information in the table as ordered pairs. Graph the relationship from the table.
Answer:
(3, 60) (5, 100) (8, 160) (9, 180) (12, 240)
Step-by-step explanation:
the half-life of radium-226 is about 1,590 years. How much of a 100mg sample will be left in 500 years
Aa Bb Cc Dd Ee Ff Gg Hh Ii Jj Kk Ll Mm Nn Oo Pp Qq Rr Ss Tt Uu Vv Ww Xx Yy Zz
I know the best answer ever (*says sarcastically*)
In a survey of 300 adults, 45 had traveled outside the United States before. What percentage of adults had traveled outside the U.S. before?
Explain GOOD to get brainly
Answer:
15%
Step-by-step explanation:
45/300*100=15
hope it helps
what is the value of x?
3x−6=21?
Answer:
X = 9
Step-by-step explanation:
Answer:
x = 9
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
What is the focus of the parabola? y=−1/4x^2 −2x − 2
Answer:
Step-by-step explanation:
This is a doozy. You have to know A LOT about parabolas to get to this answer. First and foremost, we will have to complete the square on the x terms and get everything else on the other side of the equals sign with the intention of putting this into standard form which looks like this:
[tex]-4p(y-k)=(x-h)^2[/tex]
The negative is because the parabola is upside down. We begin breaking it down by multiplying everything by -4 to get:
[tex]-4y=x^2+8x+8[/tex] and subtract that 8 from both sides to get:
[tex]-4y-8=x^2+8x[/tex]. Now we'll complete the square on the x terms by taking half the linear term, squaring it, and then adding it to both sides. Our linear term (the number with the x stuck to it) is 8. Half of 8 is 4 ad 4 squared is 16. So we add 16 to both sides to get:
[tex]-4y-8+16=(x^2+8x+16)[/tex]
The right side will simplify into a perfect square binomial and the left side we will just combine like terms to get:
[tex]-4y+8=(x+4)^2[/tex]
We're getting close. Now we need to just factor out the -4 on the left to get:
[tex]-4(y-2)=(x+4)^2[/tex]
If the standard form is -4p blah blah blah, then p has to be 1. That means that the focus is 1 unit below the vertex. The vertex is (-4, 2). p is the distance between the vertex and the focus. The focus is always on the axis of symmetry. We know that the parabola opens upside down because of the negative sign, and the parabola always wraps itself around the focus. That's why the focus is p units below the vertex. That means that the focus is located at (-4, 1).
Told you it was difficult. I noticed no one helped you with this one and it's been up here for 5 days...
What is the measure of
Answer:
m∠B = 105°
Step-by-step explanation:
Given
A = x+5B = 3xC = xWe know that the sum of angles in a triangle = 180°
A + B + C = 180°
x + 5 + 3x + x = 180°
5x + 5 = 180°
5x = 180° - 5
5x = 175
x = 175 / 5
x = 35
Thus, the measure of ∠B will be:
m∠B = 3x
= 3(35)
= 105°
m∠B = 105°
1. Write 12 cookies to 30
brownies as a ratio in
simplest form.
5:2
12:18
2:5
Answer:
The correct answer would be 2:5
Step-by-step explanation:
Answer:
2:5
Step-by-step explanation:
12÷6=2 30÷6= 5 is the simplest form
I have a picture that is 30 inches wide and 20 inches tall. I would like the
picture to be a smaller scaled copy, and it needs to be 10 inches tall. How
wide should the new picture be?*
Answer:5 inches
Step-by-step explanation:
Solve for x: −3x + 3 −1
x −3
Which diagram represents the type of solution to this system of equations?
7x − 12y + z = -1
8x − 10y = 5
21x − 36y + 3z = -3
A.
B.
C.
D.
Answer: The answer should be A.
Step-by-step explanation: When solving the first and third equations, it becomes 0=0. I'm assuming that is one solution. Then 8x-10y=5 should be the other solution. In other words, there is 2 solutions.
The correct diagram represents the type of solution to this system of equations is shown in Option A.
We have to given that,
System of equations are,
7x - 12y + z = -1 .. (i)
8x - 10y = 5 .. (ii)
21x - 36y + 3z = -3 .. (iii)
Now, From equation (i);
Multiply by 3;
3( 7x - 12y + z) = -1 × 3
21x - 36y + 3z = - 3
Which is same as equation (iii).
Hence, Equation (i) and (ii) are parallel to each other.
And, It's a triple relationship.
Thus, Only option A has parallel planes.
So, Option A is true.
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1. Nancy is walking around a circular track with a radius of 45 feet. If she walks the equivalent of 210 degrees, find the total distance she has walked around the track to the nearest foot.
2. A windshield wiper blade is 18 inches long. Calculate the area covered by the blade as it rotates through an angle of 122 degrees. Round your answer ti the nearest square inch.
3. A spray irrigation system waters a section of a farmer's field. If the water shoots a distance of 75 feet, what is the area that is watered as the sprinkler rotates through an angle of 80 degrees? Round your answer to the nearest square foot.
Answer:
see explanation
Step-by-step explanation:
(1)
The distance walked ( arc length ) is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{210}{360}[/tex]
= 2π × 45 × [tex]\frac{21}{36}[/tex]
= 90π × [tex]\frac{7}{12}[/tex]
≈ 165 ft ( to the nearest foot )
(2)
The area (A) covered is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{122}{360}[/tex]
= π × 18² × [tex]\frac{61}{180}[/tex]
= 324π × [tex]\frac{61}{180}[/tex]
≈ 345 in² ( to the nearest square inch )
(3)
The area (A) is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{80}{360}[/tex] ( r is the distance shot by sprinkler )
= π × 75² × [tex]\frac{8}{36}[/tex]
= 5625π × [tex]\frac{2}{9}[/tex]
≈ 3927 ft² ( to the nearest square foot )
Answer:
9514 1404 393
Answer:
top down: 1, 5, 6, 4, 8, 2, 3, 7
Step-by-step explanation:
It appears the expected order may be ...
__
Write the formula for the arc length of a circle with central angle, θ, in degrees.
\textit{Arc Length}=\dfrac{\theta}{360^{\circ}}\cdot 2\pi rArc Length=
360
∘
θ
⋅2πr
Replace 360° with 2π radians.
\dfrac{\theta}{360^{\circ}}=\dfrac{\theta}{2\pi}
360
∘
θ
=
2π
θ
Replace the angle ratio in degrees with the angle ratio in radians.
\textit{Arc Length}=\dfrac{\theta}{2\pi}\cdot 2\pi rArc Length=
2π
θ
⋅2πr
Simplify by cancelling
\textit{Arc Length}=\theta rArc Length=θr
help me with the question I appreciate it much.
it can't be seen properly
Could I get help on this it’s important!!!
Answer:
-14, -4, 16, 21, 26
Enter the value for x
that makes the equation 16=−4(x−1)+4
true.
Answer:
-2
Step-by-step explanation:
16=-4x+4+4
16=-4x+8
4x=8-16
4x=-8
x=-2
Tthe required value of x is -2 for which the given expression is true.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
16 = -4(x - 1) + 4
16 - 4 = -4(x - 1)
x - 1 = 12 / -4
x = -3 + 1
x = -2
Thus, the required value of x is -2 for which the given expression is true.
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Find the commission.
Earning Commission
Sales Commision Rate Commission
$750
9%
?
The commission is $
Answer:
The commission would be $67.50.
Answer:
$67.50
Step-by-step explanation:
commission amount = sale price * commission percentage / 100
Jackson rides his bike from his home for 30 minutes at a fast pace. He stops to rest for 20 minutes, and then continues riding in the same direction at a slower pace for 30 more minutes. Sketch a graph of the relationship of Jackson’s distance from home over time.
Answer:
For the first 30 minutes, we will have a line with a given steepness, this will represent the 30 minutes riding at a fast pace.
Then he stops for 20 minutes, we will represent this with a constant line.
Then he again moves for another 30 minutes, but with a slower pace than in the first 30 minutes, then this line will be less steep than the first line.
A sketch of this situation can be seen below.
A stadium has direct staffing costs of $108,000. Overhead costs (social security, medicare, worker's compensation, etc.) cost the stadium an additional 15%. What is the total staffing cost?
9514 1404 393
Answer:
$124,200
Step-by-step explanation:
We have ...
staffing cost = (direct cost) + 0.15·(direct cost)
staffing cost = (direct cost) · 1.15 = ($108,000)(1.15)
staffing cost = $124,200
Find the ratio of 2p per gram to £2.12 per kilogram
Answer:
the answer is 1.06
Step-by-step explanation: