Basic geometry are formulars and properties of basic shapes like rectangle, square, circle, triangle, and solid shapes like cuboid, cube cylinder etc.
The area, perimeter and volume of solid shape are properties that can be determined from this shape.
Perimeter is the sum of the whole side of the figure. Example the perimeter of a rectangle with 2 length and 2 width can be calculated by adding the whole 2 length and width.
The perimeter of the rectangle above is by adding all the sides.
perimeter = 4 + 4 + 2 + 2 = 12 cm
The area of the figure below is the amount of space of the boundary. The area of the rectangle below is length * width = 4 * 2 = 8 cm squared.
Which of the following statement(s) is (are) true?
I. The set of all second-degree polynomials with the standard operations is a vector space. II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space. III. The set of second quadrant vectors with the standard operations is a vector space A) 1 B) II and III C) II and III D) 11
The true statement is; II. Option D
How to determine the correct statementsFrom the information given, we have that;
I. The set of all second-degree polynomials with the standard operations is a vector space
II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space
III. The set of second quadrant vectors with the standard operations is a vector space
Note that;
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the chart below shows the coordinates of the dragon's head when it is its original size.
I'm sorry, I can't see the chart so I can't answer this question.
Classify the following triangle. Check all that apply.
O A. Obtuse
B. Acute
O C. Equilateral
OD. Isosceles
O E. Right
OF. Scalene
Answer:
Equilateral C.
Step-by-step explanation:
Those tick marks on the sides symbolize that each side is the same length as the ones next to it
Oliver downloaded 26 apps for her phone that altogether used 1684 mb of space if each app ises the same ampunt of space how much memory did each app use
Answer:64.7
Step-by-step explanation: Hopefully this is right next time just use division that's what I did.
Hope I helped you
Which sequence of transformations takes ^A to its image, ^B?
A. re
ection over the x-axis and translation 2 units down
B. re
ection over the y-axis and translation 2 units down
C. translation 2 units down and 90
rotation about the origin
D. translation 12 units right and 90
rotation about the origin
Answer:
translation 2 units down and 90
rotation about the origin
Step-by-step explanation:
Jace and jake are brothers and are having a spring party. They will be inviting a lot of friends. There will be a total of 14 people at the party. They will have pizza and soda pop and watch a movie. The soda pop comes in 6 packs and costs $2. 98 per pack. Pizza costs $6.75 each is cut into a slices. The movie costs $4.25 to rent. Each small table can seat 4 people. How many 6 packs of soda do jace and jake need to buy if each person has one pop?
Answer:
3 packs of sodas would need to be bought.
Step-by-step explanation:
6 x 2 = 12 which isn't enough
6 x 3 = 18 which is more than enough
Help . Describe the graph of a function g by observing the graph of the base function f.
Answer:
its d
Step-by-step explanation:
I've taken this quiz before
Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
Find the length and width of rectangle DMLG, and calculate its area.
PLZ CACULATE ITS AREA PLZ!!
Answer:240 square feet
Step-by-step explanation:length of rectangle DMLG
= DM = LG = (25 + 5) = 30 feet
width of rectangle DMLG
= ML = 8 feet
area of rectangle DMLG
= length × width
= 30 × 8
= 240 square feet
Answer: length of rectangle DMLG
= DM = LG = (25 + 5) = 30 feet
width of rectangle DMLG
= ML = 8 feet
area of rectangle DMLG
= length × width
= 30 × 8
= 240 square feet
wish that helped :)
Step-by-step explanation:
he following sequential system implements a pattern detector. (4 points) what pattern does this system detect?
The pattern that this system detects is a four-digit number that is divisible by 3.
1. The system starts by taking an input of a four-digit number.
2. It then checks if the last digit of the input number is divisible by 3.
3. If it is, the system continues to check if the sum of the remaining three digits is divisible by 3.
4. If this turns out to be true, the system will output a signal indicating that the input number is divisible by 3.
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A hummingbird's heart rate while resting is about 7,500 beats every 30 minutes. How many more beats does a hummingbird's heart beat in 60 minutes than a human baby's heart? It was on the last question
Answer:
This is what I got, hope u get it right
Step-by-step explanation:
The Giant Hummingbird beats its wings 10-15 times per second. The fastest recorded rate is about 80 beats per second on an Amethyst Wood- star Hummingbird.
85 is the answer........
How much interest will be earned on a $1600 investment at 7.72% compounded
quarterly for 9 years?
Answer:
A = $3,198.17
A = P + I where
P (principal) = $1,600.00
I (interest) = $1,598.17
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 7.72/100
r = 0.0772 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 1,600.00(1 + 0.0772/12)(12)(9)
A = 1,600.00(1 + 0.006433333)(108)
A = $3,198.17
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $1,600.00 at a rate of 7.72% per year compounded 12 times per year over 9 years is $3,198.17.
solve the PDE using separation of variables method Uxx = 1/2 Ut 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
The general solution of the partial differential equation is:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
How to solve Partial Differential Equations?The partial differential equation (PDE) is given as:
Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
Assume that the solution can be written as a product of two functions:
U(x, t) = X(x)T(t)
Substituting this into the PDE, we have:
X''(x)T(t) = (1/2)X(x)T'(t)
Dividing both sides by X(x)T(t), we get:
(X''(x))/X(x) = (1/2)(T'(t))/T(t)
Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:
(X''(x))/X(x) = -λ²
(1/2)(T'(t))/T(t) = -λ²
Simplifying the second equation, we have:
T'(t)/T(t) = -2λ²
Solving the second equation, we find:
T(t) = Ce^(-2λ²t)
Applying the boundary condition U(0, t) = 0, we have:
U(0, t) = X(0)T(t) = 0
Since T(t) ≠ 0, we must have X(0) = 0.
Applying the boundary condition U(3, t) = 0, we have:
U(3, t) = X(3)T(t) = 0
Again, since T(t) ≠ 0, we must have X(3) = 0.
Therefore, we can conclude that X(x) must satisfy the following boundary value problem:
X''(x)/X(x) = -λ²
X(0) = 0
X(3) = 0
The general solution to this ordinary differential equation is given by:
X(x) = Asin(λx) + Bcos(λx)
Applying the initial condition U(x, 0) = 5*sin(4πx), we have:
U(x, 0) = X(x)T(0) = X(x)C
Comparing this with the given initial condition, we can conclude that T(0) = C = 5.
Therefore, the complete solution for U(x, t) is given by:
U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)
where:
Σ represents the summation over all values of n
λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).
To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):
X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0
X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0
From the first equation, we have Bₙ = 0.
From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.
This implies that 3λₙ = nπ, where n is an integer.
Therefore, λₙ = (nπ)/3.
Substituting the eigenvalues into the general solution, we have:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
where Aₙ are the coefficients that can be determined from the initial condition.
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Combine the two terms: 3x + 8 + -5x + 2
Answer:
10 - 2x
Step-by-step explanation:
3x + 8 + - 5x + 2
- 2x + 8 + 2
10 - 2x
Answer:
-2x+10
Step-by-step explanation:
Combine the variables
-5x+3x= -2x
Combine the other numbers
8+2= 10
-2x+10
Alex has a collection of vehicle models. He built 8 model airplanes, 4 model trains, and 12 model cars. Write a ratio to represent the ratio of cars to trains. 12:24 1:3 3 over 1 4 to 12
The phrase "3 over 1" would be used to describe the proportion of vehicles to trains. The (C) option is that.
What is the ratio?A ratio in mathematics shows how many times one quantity is present in another.
For instance, if a dish of fruit's fully oranges and six lemons, the ratio of oranges and lemons is eight to six.
This ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons and oranges is 6:8.
Two quantities are compared to form a ratio.
An equality of two ratios is a percentage.
So, the following are some of the car models that Alex has collected:
There are 8 airplanes.
There are 4 trains in all.
There are 12 vehicles.
Consequently, the car-to-train ratio is 12:4.
This is further simplified to its most basic form:
= 12:4
= 3:1
Therefore, the phrase "3 over 1" would be used to describe the proportion of vehicles to trains. The (C) option is that.
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Complete question:
Alex has a collection of vehicle models. He built 8 model airplanes, 4 model trains, and 12 model cars. Write a ratio to represent the ratio of cars to trains.
A. 12:24 FAST HELP
B. 1:3
C. 3 over 1
D> 4 to 12
HELP ASAP! I’m very confused and need help. Thank you!
Answer:
CP is perpendicular to AB
Write a function in any form that would match the graph shown below:
The function that would match the graph shown below is given as follows:
y = -5(x³ + 7x² + 8x - 16).
How to define the function?The function is defined using the Factor Theorem, as we have the x-intercepts of the graph, hence we can write the function as a product of it's linear factors.
Considering the x-intercepts, the roots are given as follows:
x = -4 with a multiplicity of 2, as the graph turns.x = 1 with a multiplicity of 1.Hence, considering the leading coefficient a, the function is defined as follows:
y = a(x + 4)²(x - 1)
y = a(x² + 8x + 16)(x - 1)
y = a(x³ + 7x² + 8x - 16).
When x = 0, y = 80, hence the leading coefficient a is obtained as follows:
-16a = 80
a = -5.
Hence the function is:
y = -5(x³ + 7x² + 8x - 16).
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Use partial quotients to solve 5,140 ÷ 9 = ___.
The correct answer is 571 quotient and 1 is remainder.We can solve easily by partial quotients.
What are partial quotients division?Partial quotients division is a deviation from the standard method. The divisor is multiplied with a number and the multiple obtained is deducted from the dividend. This multiple of the divisor is as close as possible to the dividend, that is less than or equal to the dividend.
Why do we use partial quotient division?Partial quotient division provides natural differentiation because we can have students solve at a level they are comfortable with and then we can challenge them to find a more efficient way. And this means using fewer steps and solve easily.
Now we solve
first 9 multiply with 500 so we get 4500. 5140-4500=640
then 9 multiply with 70 so we get 630. 640-630=10
then 9 multiply with 1 so we get 9. 10-9=1
Hence 500+70+1=571
And our remainder is 1.
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How many 50ml can be filled from 5L
A company is developing packaging for a new product as shown below.
Choose all of the expressions that can be used to find the volume of the packaging
4 m
2 m
9 m
2 m
3 m
4 m
4 m
A (2 * 3 * 4) + (2 * 9 * 2)
B. (2 4* 3) + (2 * 9 * 4)
C. (2 * 4 * 3) + (4 * 9 * 4)
D. (3 * 4 * 4) + (
292)
E (3 * 4 * 4) + (6 * 4 * 2)
Answer:It B and C
Step-by-step explanation:
mz3 = 10x and mz5= 12x - 25.
Answer:
\(x = 12.5\) degrees
Step-by-step explanation:
Since lines a and b are parallel, we have that angles 3 and 5 are congruent, that is, they have the same measure.
We have that:
\(m<3 = 10x\)
\(m<5 = 12x - 25\)
Value of x:
Since they are congruent:
\(m<3 = m<5\)
\(10x = 12x - 25\)
\(-2x = -25\)
\(2x = 25\)
\(x = \frac{25}{2}\)
\(x = 12.5\) degrees
What is 3 3/4 ft to yards as a mixed number?
The value of 3¾ft in yards would be = 1 6/25 yard
What is a mixed number?A mixed number is the type of number that is made up of three parts such as the whole number, a numerator and a denominator.
To convert to yards;
1 ft = 0.33 yard
3¾ = X yards
make x yards the subject of formula;
X yards = 3¾ × 0.33
X yards = 3.75×0.33
X yards = 1.24 yards
X yards in mixed number= 124/100 = 31/25 = 1 6/25 yard.
Note that the final value which is 124/100 is reduce to the lower figure by dividing through with 4 to arrive at the mixed number 1⁶/25
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A coffee place is selling coffees for $2.50 each and cappuccinos for $3.75 each.
Today the coffee place sold a total of 70 drinks (coffees and cappuccinos) for a total of $222.50.
a) Write an equation that represents the information.
b) Solve the equation in (a) to find how many coffees and how many cappuccinos the coffee place sold today.
Answer:
Step-by-step explanation:
a) Let's denote the number of coffees sold as 'x' and the number of cappuccinos sold as 'y'.
The equation that represents the given information is:
2.50x + 3.75y = 222.50
b) To solve the equation, we need to find the values of 'x' and 'y' that satisfy the equation.
Since we have two variables and only one equation, we cannot determine the exact values of 'x' and 'y' independently. However, we can find possible combinations that satisfy the equation.
Let's proceed by assuming values for one of the variables and solving for the other. For example, let's assume 'x' is 40 (number of coffees):
2.50(40) + 3.75y = 222.50
100 + 3.75y = 222.50
3.75y = 222.50 - 100
3.75y = 122.50
y = 122.50 / 3.75
y ≈ 32.67
In this case, assuming 40 coffees were sold, we get approximately 32.67 cappuccinos.
We can also assume different values for 'x' and solve for 'y' to find other possible combinations. However, keep in mind that the number of drinks sold should be a whole number since it cannot be fractional.
Therefore, one possible combination could be around 40 coffees and 33 cappuccinos sold.
Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line
I need an answer to this,
Answer:
use what u learn from the teacher
PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!
Answer:
55 degrees
Step-by-step explanation:
Solve the quadratic equation below. 20x + 14=-3x² Give each value of a to 3 significant figures.
Answer:
Step-by-step explanation:
55/66
The angle bisectors of APQR are PZ, QZ, and RZ. They meet at a single point Z.
(In other words, Z is the incenter of APQR.)
Suppose WZ=14, PZ=17, mWPY= 46°, and mZYRZ=14°.
Find the following measures.
Note that the figure is not drawn to scale.
Given the angle bisectors of ΔPQR are PZ, QZ, and RZ, note that:
m∠YRX = 28°m∠XQZ = 53° and Line XZ = 14.What is an angle bisector?In geometry, an angle bisector is a line that divides an angle into two equal angles. A bisector is anything that divides a form or item into two equal pieces.
An angle bisector is a ray that divides an angle into two equal portions of the same measurement.
The computation is explained as follows;
Since m∠YRZ = 14° (given)
Note that on the bases of the Angle Bisector theorem,
m∠YRZ = m∠XRZ = 1/2 m∠YRX
Since
∠YRZ = 14°
m∠YRX = 2 * 14° = 28°
Recall that ∠WPY is 46°, and m∠YRX = 28°
Thus, m∠PQR = 180 - (28 + 46)
∠PQR = 106°
Given the above, m∠XQZ = ∠PQR * 1/2
∠XQZ = 106/2
∠XQZ = 53°
Since Z is the center of the ΔPQR, Z is equidistant from the three edges so:
WZ = YZ = XZ
WZ = 14,
Thus, XZ = 14
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How many square feet of outdoor carpet will we need for this hole?
The number of square feet needed to cover the hole is 44ft²
How many square feet of outdoor carpet will we need for this hole?To find this, we need to find the area of the green region and subtract the little square that it has inside.
Remember that for a rectangle, the area is the product between the dimensions, then the area of the green region is:
A = 12ft*4ft = 48ft²
The little square has an area:
a = 2ft*2ft = 4ft²
Then the area needed is:
area = 48ft² - 4ft² = 44ft²
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Omar wants to measure the width of a river. He marks off two right triangles, as shown in the figure. The base of the larger triangle has a
length of 64 m, and the base of the smaller triangle has a length of 31 m. The height of the smaller triangle is 19.8 m. How wide is the
river? Round your answer to the nearest meter. (The figure is not drawn to scale.)
19.8 m
River
A
31 m
64 m
?
A
m
X
Ś
Answer:
41 meters
Step-by-step explanation:
\(\frac{31}{64}\) = \(\frac{19.8}{x}\)
31x = (19.8)(64)
31x = 1267.2 Divide both sides by 31 and round
x = 41