Final answer:
Perpendicular lines on a coordinate plane intersect to form right angles, which are precisely 90°. The slopes of perpendicular lines are negative reciprocals of each other.
Explanation:
When two lines on a coordinate plane are described as being perpendicular, this means they intersect to form right angles, which are angles of 90°. It's important to recognize that perpendicular lines have slopes that are negative reciprocals of each other. For example, if one line has a slope of 2, a line perpendicular to it would have a slope of -1/2. These slopes ensure that the angles formed between the lines are exactly 90 degrees.
In geometry and physics, this concept is further explored with orthogonal vectors, which are two vectors with directions that differ by exactly 90°, synonymous with perpendicular vectors. Their importance lies in various applications, such as breaking down a force into components acting along perpendicular axes.
- Consider the following sets:
P = {x|x is a parallelogram}
C = {x | x is a circle}
K = {x|x is a kite)
R = (x | x is a rectangle)
T = {x|x is a trapezoid)
Which set is a subset of set P? C K R T
Answer:
R
Step-by-step explanation:
A rectangle is a parrellagram. Also, got right on edg.
Answer:
R
Step-by-step explanation:
A student was given the equation x^2+2x-16=0 to solve by completing the square. The first step that was written is shown below. ——> X^2 + 2x=16<—— The next step in the student’s process was x^2 +2x+c =16+c. State the value of c that creates a perfect square trinomial.
Answer:
[tex]x_{1}=-1+\sqrt{17},\:x_{2}=-1-\sqrt{17}[/tex]
Step-by-step explanation:
Quadratic Equation Given:
[tex]x^2+2x-16=0[/tex]
[tex]x^2 + 2x=16[/tex]
[tex]$c=\left( \frac{b}{2} \right)^2 $[/tex]
[tex]x^2 + 2x+1=16+1[/tex]
[tex](x+1)^2=17\\[/tex]
[tex]x+1=\pm \sqrt{17} \\[/tex]
[tex]x=-1 \pm \sqrt{17} \\[/tex]
[tex]x_{1}=-1+\sqrt{17},\:x_{2}=-1-\sqrt{17}[/tex]
Sara cuts a pie into halves.How many pieces are there?
Answer:
2 Pieces
Mostly depends how much slices are there
Step-by-step explanation:
Every element is called half the whole by all equal sections. Similarly, the half fraction is defined as the whole half component of both of the two equivalent sections of the rectangle.
Hope this helps
A quarterback looks downfield at a receiver who is 14 yards away. The receiver is covered, so the quarterback turns 30° to his right and sees another receiver who is 19 yards away. To the nearest tenth of a yard, how far apart are the two receivers?
A. 9.8 yds
B. 10.5 yds
C. 45.5 yds
D. 104.5 yds
Use the law of cosines:
Distance = square root( 14^2 + 19^2 -2(14)(19) x cos(30)
Distance = 9.8 yards.
The answer is A.
The correct answer is A. 9.8 yds is the distance between two receivers.
The Law of Cosines states that for any triangle with sides a, b aand c , and angle [tex]\( \theta \)[/tex] opposite side c, the following equation holds:
[tex]\[ c^2 = a^2 + b^2 - 2ab\cos(\theta) \][/tex]
We want to find d, which corresponds to c in our scenario. Plugging in the values we have:
[tex]\[ d^2 = a^2 + b^2 - 2ab\cos(\theta) \] \[ d^2 = 14^2 + 19^2 - 2 \cdot 14 \cdot 19 \cdot \cos(30^\circ) \][/tex]
Since [tex]\( \cos(30^\circ) = \sqrt{3}/2 \)[/tex], we can substitute this value into the equation:
[tex]\[ d^2 = 14^2 + 19^2 - 2 \cdot 14 \cdot 19 \cdot \frac{\sqrt{3}}{2} \] \[ d^2 = 196 + 361 - 14 \cdot 19 \cdot \sqrt{3} \] \[ d^2 = 557 - 266 \cdot \sqrt{3} \][/tex]
Now we can solve for d:
[tex]\[ d = \sqrt{557 - 266 \cdot \sqrt{3}} \][/tex]
Calculating this value gives us [tex]\( d \approx 9.8 \)[/tex] yards to the nearest tenth of a yard.
Therefore, the two receivers are approximately 9.8 yards apart.
If the perimeter of a square is 60 inches, how long is each side?
Answer:
15
Step-by-step explanation:
Since a square has 4 sides, that means that each side is equal to the other three sides because it is a square. If so, we do 60/4 to get is 15. To check the answer 15x4 is equal to 60.
Answer:
each side will be 15
Step-by-step explanation:
because if its a square and all the sides are the same lengh and one of the sides are 15 then all of the other sides will also be 15,so that will equal 60.
The ___ of a two-dimensional figure can be any side.
Answer:
The area I believe.
Step-by-step explanation:
The Length of a two-dimensional figure can be any side.
What is the length?length is the measure of some distance from one end to another end.
The side is a distance between two vertexes joined with another part of the figure.
We can measure that distance which means it could be a length.
Thus, The Length of a two-dimensional figure can be any side.
Learn more about length;
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Find an integer, x, such that 2, 4, and x represent the lengths of the sides of an obtuse triangle.
A. 2
B. 3
C. 4
D. 6
Answer:
A
Step-by-step explanation:
What is the height of the pyramid? 4 feet 8 feet 12 feet 16 feet
Answer:
16 feet
Step-by-step explanation:
Answer:
D. 16 Feet
Step-by-step explanation:
WILL MARK BRAINLIEST PLSSSS HELP
Angles A M Y and Y M B form a line. Angles Y M B and B M X form a line. Angles X M A and A M Y form a line. Choose each angle to complete the linear pairs. ∠AMY and ∠AMX ∠BMY and ∠BMX and ∠AMX and
Answer:
B
Step-by-step explanation:
sorry if it is wrong but I think it is right
Answer:
Step-by-step explanation:
Angles A M Y and Y M B form a line. Angles Y M B and B M X form a line. Angles X M A and A M Y form a line.
Choose each angle to complete the linear pairs.
∠AMY and ∠AMX
∠BMY and
✔ ∠AMY
∠BMX and
✔ ∠BMY
∠AMX and
✔ ∠BMX
It is this i got it right on the lesson I am 100% sure thanks
Helen is using glass tiles that each measure one square centimeter to make a
decorative square plate. The plate will use 144 square centimeters of glass tiles.
How many glass tiles will Helen use in one row of her plate?
Answer: 12
Step-by-step explanation:
12 times 12 is 144 so 12.in each row
Helen will use 12 glass tiles in one row of her plate, as the square plate has a total area of 144 square centimeters and each tile measures one square centimeter.
Explanation:The student's question involves calculating the number of glass tiles Helen would use in one row of a square plate, given that she has 144 square centimeters of glass tiles and each tile measures one square centimeter. To determine the number of tiles in one row, we need to remember that the area of a square is equal to the side length squared. Since the total area is 144 square centimeters, we take the square root of 144 to find the length of one side, which is 12 centimeters. Therefore, Helen will use 12 glass tiles in one row of her plate, as there would be 12 tiles lengthwise and 12 tiles widthwise to make up the total area of 144 square centimeters.
Factor the expression 25x2 – 1.
Answer:
(5x + 1) • (5x - 1)
Step-by-step explanation:
Step 1:
Equation at the end of step 1:
5^2x^2 - 1
Step 2:
Trying to factor as a Difference of Squares :
Factoring: 25x^2-1
Theory :
A difference of two perfect squares,
A difference of two perfect squares, A^2 - B^2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B)
= A^2 - AB + BA - B^2
= A^2 - AB + AB - B^2
= A^2 - B^2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 25 is the square of 5
Check : 1 is the square of 1
Check : x^2 is the square of x^1
Factorization is :
(5x + 1) • (5x - 1)
Final result :
(5x + 1) • (5x - 1)
Answer:
Step-by-step explanation:
(5x-1) (5x+1)
Identify two factors that have a product of 1 7/8.
Will give Brainliest
Answer:
17×1= 17, and 8×1= 8
17 and 8 is ur answer
i hope its right...
Step-by-step explanation:
1 7/8 into an improper fraction is 15/8
You can say that
3 5
---- x ----
2 4
please please help! 20 points !!
1. t= 72
u= 54
2. m=76
n=76
3. ef= I forgot how to solve I'm sorry
f= 134
4. p=60
q=60
r=60 (it is an equilateral triangle)
Answer:
1.
u = 54
t = 72
2.
both equal 76
3.
i might be wrong but EF might be 23
f = 134
4.
all three are 60, as it is a equilateral
sorry if that sounds if i copied the previous answer
Solve |x| + 7 < 4.
A) {x | x < -11 or x > -3}
B) {x | -3 < x < 3}
C) Ø
Answer:
C
Source:
Trust me
Need help please!!
(Will mark as Brainliest)
Percent change
Original amount: 165
End amount: 222.75
Answer:
35%
Step-by-step explanation:
The percent change is calculated as
[tex]\frac{change}{original}[/tex] × 100%
change = 222.75 - 165 = 57.75, thus
% change = [tex]\frac{57.75}{165}[/tex] × 100% = 0.35 × 100% = 35%
The percent change in value is 35%, and it is a percentage increase.
To calculate the percent change in value, we use the formula: ((new value - original value) / original value) * 100. In this case, the new value is $222.75 and the original value is $165. Plugging in these values, we get ((222.75 - 165) / 165) * 100 = 35%. Therefore, the percent change in value is 35%. Since the value has increased, it is a percentage increase.
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The probable question may be:
If the original amount is $165, and it has increased to $222.75, what is the percent change in the value, and is it a percentage increase or decrease?
Garrett throws a dart at a circular dartboard. The dartboard has a radius of 18 inches, and the bull’s eye in the center of the dartboard has a radius of 4 inches. What is the probability that a dart thrown at random within the dartboard will hit the bull’s eye? Round your answer to the nearest tenth, if necessary.
A. 20.3%
B. 4.9%
C. 22.2%
D. 4.5%
Answer:option b. 4.9%
Explanation:
1) The probability that a dart thrown at random within the dart board will hit the bull's eye is equal to the ratio of the areas:
probability = area of the bull's eye / aera of the dart board.
2) Area of the dart board = π × (radius)² = π × (18 in)²
3) Area of the bull's eye = π × (radius)² = π × (4 in)²
4) So, the probaility is:
π (4 in)² 4²
--------------- = ------- = 0.0494
π (18 in)² 18²
The correct answer is option B)4.9
What is the probability that a dart thrown at random within the dartboard will hit the bull’s eye?
1) The probability that a dart is thrown at random within the dartboard will hit the bull's eye is equal to the ratio of the areas:
probability = area of the bull's eye/area of the dart board.
2) Area of the dart board = π × (radius)² = π × (18 in)
3) Area of the bull's eye = π × (radius)² = π × (4 in)²
4) So, the probability is:
π (4 in)² / π (18 in)² = 4² / 18² = 0.0494
What is probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes and how likely they are.
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work out the perimeter of a semicircle with radius 3cm.Give answer in terms of pi.
Answer:
15.42477796
Step-by-step explanation:
1/2π x 6 + 6
- sorry if its wrong
Answer:
3pi
Step-by-step explanation:
refer to the picture for steps.
If you sleep 6 hours out of 24 hours, what percent of the time do you sleep?
Thanks and be quick!
Answer:
I'm not sure which one 25% i put the wrong number in
If you sleep 6 hours out of 24 hours, you sleep for 25% of the time.
To find the percentage of time spent sleeping, one must divide the number of hours slept by the total number of hours in a day and then multiply by 100. In this case, a person sleeps for 6 hours in a 24-hour day. The calculation is as follows:
Percentage of time spent sleeping = (Number of hours slept / Total number of hours in a day) × 100%
Percentage of time spent sleeping = (6 hours / 24 hours) × 100%
Percentage of time spent sleeping = 0.25 × 100%
Percentage of time spent sleeping = 25%
Therefore, sleeping for 6 hours in a 24-hour period means a person spends 25% of their time sleeping.
11
Adimas found the mean of her 11 math test scores for the first semester.
(76 +87 +65 +88 +67+84 +77 +82 +91 +85 +90) 892
81
11
Using 81 as the mean, find the variance of her grades rounded to the nearest hundredth.
02=
Find the standard deviation of her grades rounded to the nearest hundredth.
Answer:
Variance = 78.5
Standard Deviation = 8.86
Step-by-step explanation:
Given
Mean = 81
Required
Find the variance and standard deviation of the given set of data.
Provided that we already know the mean; to calculate the variance, follow the steps below.
1. Subtract the mean from each data.
76 - 81 = -5
87 - 81 = 6
65 - 81 = -16
88 - 81 = 7
67 - 81 = -14
84 - 81 = 3
77 - 81 = -4
82 - 81 = 1
91 - 81 = 10
85 - 81 = 4
90 - 81 = 9
2. Square these results
-5² = 25
6² = 36
-16² = 256
7² = 49
-14² = 196
3² = 9
-4² = 16
1² = 1
10² = 100
4² = 16
9² = 81
3. Sum these results
Sum = 25+36+256+49+196+9+16+1+100+16+81
Sum = 785
4. Calculate variance by dividing the sum by n - 1 where n = 11
So, n - 1 = 11 - 1 = 10
Variance = 785/10
Variance = 78.50
5. Calculate standard deviation by finding the square root of variance
S.D = √78.50
S.D = 8.86 (Approximated)
Answer:
71.36 and 8.45
Step-by-step explanation:
Can someone help me? Find the surface area of the prism I will give you 14 points to anwser this!
Answer:
[tex]122 {m}^{2} [/tex]
Step-by-step explanation:
[tex]A
=
2
(
w
l
+
h
l
+
h
w
) \\
=
2
·
(
4
·
7
+
3
·
7
+
3
·
4
)
\\
=
122 {m}^{2} [/tex]
Which graph shows the result of dilating this figure by a factor of One-third about the origin?
On a coordinate plane, triangle A B C has points (negative 6, 6), (6, 6), (6, negative 6).
On a coordinate plane, triangle A prime B prime C prime has points (negative 2, 2), (2, 2), (2, negative 2).
On a coordinate plane, triangle A prime B prime C prime has points (negative 3, 3), (3, 3), (3, negative 3).
On a coordinate plane, triangle A prime B prime C prime has points (Negative 18, 18), (18, 18), (18, negative 18).
On a coordinate plane, triangle A prime B prime C prime has points (negative 12, 12), (12, 12), (12, negative 12).
Answer:
A
Step-by-step explanation:
The coordinates of the triangle showing a dilation with a scale factor of 1/3 is (-2, 2), (2, 2) and (2, -2)
What is dilation?Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.
Given that, on a coordinate plane, triangle A B C has points (-6, 6), (6, 6), (6, -6). It is being dilated with a scale factor of 1/3
Scale factor = Dimension of the new shape ÷ Dimension of the original shape.
Here, we will consider the coordinates in place of dimensions,
Therefore,
Scale factor = coordinates of new figure / coordinates of original figure
Considering the first option = A'(-2, 2), B'(2, 2) and C'(2, -2)
Scale factor = A/A' = 2/6 = 1/3
Hence, the coordinates of the triangle showing a dilation with a scale factor of 1/3 is (-2, 2), (2, 2) and (2, -2)
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Someone please help. Someone please help.
Radius of the hemisphere and the cone base: R = 2 in
Height of the cone: H = 6 - 2 = 4 in
π ≈ 3,14
Ice inside cone:
[tex]V_1=\frac13\pi R^2\cdot H=\frac13\pi\cdot2^2\cdot 4=\frac{16}3\pi[/tex]
Ice outside cone:
[tex]V_2=\frac12\cdot\frac43\pi R^3=\frac23\pi\cdot2^3=\frac{16}3\pi[/tex]
Total of ice:
[tex]V=V_1+V_2=\frac{16}3\pi+\frac{16}3\pi=\frac{32}3\pi\approx\frac{32}3\cdot3,14=33,49(3)\approx33,5[/tex]
There are 33,5 cubic inches of ice in the cone.
As the administration looks ahead to next year, Kyra is concentrating on finishing up this year well. Students at her school receive 4 quarter grades, a mid-term exam grade, and a final exam grade for each class. The quarter grades are all weighted equally, the mid-term exam grade is double the weight of a quarter grade, and the final exam grade is four times the weight of a quarter grade. What fraction of the final course grade is the final exam grade? Express your answer as a common fraction.
Answer:
2/5
Step-by-step explanation:
Defining x the weight of each quarter grades (4x for the 4 quarter grades), then the weight of the mid-term exam grade is 2x, and the weight of the final exam is 4x. The addition of all grades is 4x + 2x + 4x = 10x (this represents the combination of grades that makes the final course grade).
So, the final exam grade represents 4x/10x = 2/5 of the final course grade.
Answer:
2/5
Step-by-step explanation:
just did the test
A golfer hits a golf ball with an initial velocity of 100 miles per hour. The range R of the ball as a function of the angle θ to the horizontal is given by R(θ)=672sin(2θ), where R is measured in feet. Round to two decimal places. Write DNE if the solution does not exist.
A) At what angle θ should the ball be hit if the golfer wants the ball to travel 450 feet (150 yards)?
degrees
B) At what angle θ should the ball be hit if the golfer wants the ball to travel 540 feet (180 yards)?
degrees
" role="presentation" style="position: relative;">C) At what angle θ should the ball be hit if the golfer wants the ball to travel at least 480 feet (160 yards)?
degrees
D) At what angle θ should the ball be hit if the golfer wants the ball to travel 720 feet (240 yards)?
Answer:
A) 21.02°
B) 26.74°
C) 22.79°
D) DNE
Step-by-step explanation:
We can solve the equation for the angle:
D = 672·sin(2θ)
D/672 = sin(2θ)
arcsin(D/672) = 2θ
θ = arcsin(D/672)/2
A) For D = 450, θ = arcsin(450/672)/2 = 21.0198° ≈ 21.02°
B) For D = 540, θ = arcsin(540/672)/2 = 26.7363° ≈ 26.74°
C) For D = 480, θ = arcsin(480/672)/2 = 22.7923° ≈ 22.79°
D) For D = 720, θ = arcsin(720/672)/2 = DNE
You and some friends went to a haunted house on Halloween. The mummy scared one friend so much that she jumped into the air! The equation h= 4t(2)+ 2t models her jump where h is her jumps height in feet t seconds after the mummy scares her. Where did she reach her maximum.
Answer:
She reaches her maximum height after 0.25 secondsStep-by-step explanation:
The question is not properly structured and the equation is also incorrect. Here is the correct question.
You and some friends went to a haunted house on Halloween. The mummy scared one friend so much that she jumped into the air! The equation h= -4t²+ 2t models her jump where h is her jumps height in feet t seconds after the mummy scares her. When did she reach her maximum.
Give the equation h= -4t²+ 2t that models my friend jump where h is her jumps height in feet t seconds, At maximum height, her velocity will be zero i.e
Vmax = 0m/s
Velocity is the rate of change in distance of a body i.e V = dh/dt
Given h= -4t²+ 2t
V = dh/dt = -8t+2
Since v = 0m/s
0 = -8t+2
-8t = -2
t = -2/-8
t = 0.25 secs
She reaches her maximum height after 0.25 seconds
» Aiden has 27 fewer
crayons this week than
last week. Last week he
had 56 crayons. How
many crayons does
Aiden have this week?
Show your work.
Answer:
He has 29 crayons left
Step-by-step explanation:
56-27=29
All you have to do is subtract since fewer means less and to find less you need to subtract
$ 20,000 is invested at a rate of 5% compounded quarterly. Identify the compound interest function ta model the situation. Then find the balance after 5 years.
Answer:
the balance after 5 years is: 26540.744
Step-by-step explanation:
Given the information:
P = initial balance = $ 20,000r = interest rate (decimal) = 5% = 0.05n = number of times compounded annually = 4t = time = 5We have the compound interest function ta model the situation is:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
<=> A = [tex]20000(1+\frac{0.05}{4} )^{4*5}[/tex]
<=> A = $26540.744
Hence, the balance after 5 years is: $26540.744
Answer:
$25,640.74
Step-by-step explanation:
The total compound interest is $5,640.74.
The final balance is $25,640.74.
with zero additional deposits
hope this helps:)
at a car and truck dealership, the probability that a vehicle is white is 0.25. the probability that it is a van is 0.09. the probability that it is a white van is 0.04. what is the probability that a vehicle is white, given that the vehicle is a van
Answer:0.44
Step-by-step explanation:
The probability that a vehicle is white, given that the vehicle is a van is 0.4
What is the probability?
Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
The probability that a vehicle is white=0.25
The probability that it is a van=0.09
The probability that it is a white van=0.04
Now,
To find the probability that a vehicle is white, given that the vehicle is a van, we can use the conditional probability formula, which states that:
P(white | van) = P(white and van) / P(van)
P(white) = 0.25
P(van) = 0.09
P(white and van) = 0.04
Using the multiplication rule of probability, we can write:
P(white and van) = P(white) * P(van | white)
where P(van | white) is the probability of being a van given that it is white. Solving for P(van | white), we get:
P(van | white) = P(white and van) / P(white)
P(van | white) = 0.04 / 0.25
P(van | white) = 0.16
Plugging this into the conditional probability formula, we get:
P(white | van) = (0.25 * 0.16) / 0.09
P(white | van) = 0.04 / 0.09
P(white | van) = 0.4444
Therefore, by probability the answer will be 0.4
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What about this one y’all ?
Answer:
y decreases by half everytime
Step-by-step explanation: