Luas alas balok = 49 cm²
Tinggi kotak = 15 cm
Volume kotak mainan = Luas alas balok × Tinggi kotak
Volume kotak mainan = 49 cm² × 15 cm
Volume kotak mainan = 735 cm³
Jadi, volume kotak mainan tersebut adalah 735 cm³.
Polar coordinates: which is not the same?
Answer:
The first option is not the same point in polar coordinates as (-3, 1.236). This proves that inverting the signs of r and θ does not generally give the same point in polar coordinates.
Step-by-step explanation:
Let's think about the position of this point. As you can tell it lies in the 4th quadrant, on the 3rd circle of this polar graph.
Remember that polar coordinates is expressed as (r,θ) where r = distance from the positive x - axis, and theta = angle from the terminal side of the positive x - axis. Now there are two cases you can consider here when r > 0.
Given : (- 3, 1.236), (3,5.047), (3, - 7.518), (- 3, 1.906)
We know that :
7.518 - 1.236 = 6.282 = ( About ) 2π
5.047 + 1.236 = 6.283 = ( About ) 2π
1.236 + 1.906 = 3.142 = ( About ) 2π
Remember that sin and cos have a uniform period of 2π. All of the points are equivalent but the first option, as all of them ( but the first ) differ by 2π compared to the given point (3, - 1.236).
Rearrange g
=
fr to make f the subject.
Answer:
f=g/rStep-by-step explanation:
divide by R
Solve for z in the system of equations.
x + y - z = -5
2x - y + z = 8
x - 4y + 3z = 5
Answer:
z = 20
Step-by-step explanation:
Elimination Method:We can use the elimination method in a systems of 3 equations, just as we did when we were solving systems of 2 equations. While the method we apply it is the same, we have to apply it multiple times as elimination gets rid of one variable (usually) and since we're dealing with 3 variables, that still leaves us with 2 variables and we need to cancel once more.
Applying Elimination Method:
We want to develop two linear equations, by applying elimination twice to each equation at least once, and then from there we can apply elimination once more.
Since we're solving for "z", we don't want to immediately cancel it out. So let's use the following two equations:
\(x+y-z=-5\\\\x-4y+3z\)
Let's cancel out the "x", by manipulating one equation to be -x. We can do this by multiplying one equation by -1, but remember we have to apply this to both sides of the equation. Let's do it to the top one (you could also do it to the bottom one)
\(-1(x+y-z)=-(-5)\implies -x-y+z=5\)
So now let's add the two equations:
\(\ \ \ (-x-\ y+\ z)=5\\+(\ \ x-4y + 3z) = 5\\ ------------\\ -5y+4z=10\)
Now let's apply the same thing, but to the middle and bottom equation. Since they don't have the same absolute value coefficients (ignoring the sign) we need to multiple one by a value other than just negative one. So let's multiply the bottom equation by -2 so that the bottom will have a -2x which will cancel when adding it to 2x
\(-2(x - 4y + 3z) = -2(5)\\-2x + 8y - 6z = -10\)
Now let's add the equations:
\(\ \ \ (\ \ 2x-y+z)=8\\+(-2x + 8y - 6z)=-10\\\\-----------\\7y - 5z = -2\)
So now we have the two equations:
\(7y-5z=-2\\-5y+4z=10\)
From here we can apply any method we want, from here I'll use substitution. Since we want to get rid of the "y", let's solve for "y" in terms of z, so once we substitute we have no "y" terms left.
\(7y-5z=-2\\7y=5z-2\\y=\frac{5z-2}{7}\)
Now let's plug this into the second two-variable equation we made.
\(-5(\frac{5x-2}{7})+4z=10\\\\\frac{-25x+10}{7}+4z=10\\\\\frac{-25}{7}z+\frac{10}{7} + \frac{28}{7}z = \frac{70}{7}\\\\\frac{-25+28}{7}z = \frac{70-10}{7}\\\\\frac{3}{7}z = \frac{60}{7}\\\\z = \frac{60}{7} * \frac{7}{3}\\\\z = 20\)
Which expression is equivalent to 59.06
A. 5 x 1 + 9 × 1 + 6 × 1/10
B. 5 × 1 +9 × 1 + 6 × 1/100
C. 5 × 10 +9 × 1 +6 × 1/10
D. 5 × 10 + 9 × 1 + 6 × 1/100
Place each expression in the column of what operation you would perform first.
70 POINTS!! PLEASE HELP!! ASAP! PLEASE SOMEONE HELP ME ASAP
Answer:
Multiplication: Division: Addition: Subtraction:
100 * 2/5 100/2 *5 89 + 43 - 10 4 - 5 + 7
5 + 3 - 8 * 10 14 - 4/8 (4 + 3)/ 2 (idk about this one)
6 * 3 - 8 15 + 8 / 4 - 6
2/3 + 4 * 2
Hope this helps!
Answer:
100*2/5, 6*3-8, 2/3+4*2, 5+3-8*10 goes to multiplication first. 100/2*5, 14-4/8, 15+8/4-6 goes to division first. (4+3)/2, 89+43-10 goes to addition first. 4-5+7 goes to subtraction first.
Step-by-step explanation:
Follow the order of the operations (Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction.) Addition and subraction, multiplication and division gets determined by reading from left to right. Whichever comes first will be first calculated.
15+8/4= 8/4 is first. Division.
14-4/8= 4/8 is first. Division.
2/3+4*2= 4*2 is first. Multiplication.
100*2/5= Multiplication is first.
100/2*5=100/2. Division.
6*3-8=6*3. Multiplication.
(4+3)/2=(4+3). Addition.
89+43-10= 89+43. Addition.
4-5+7=4-5. Subtraction.
5+3-8*10= 8*10. Multiplication.
find the equation of the lines on the graph
The equation of the line in slope intercept form is y = 1 / 2 x - 3 / 2.
How to find the equation of a line?The equation of a line can be represented in slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptLet's find the slope of the line using the coordinates.
Therefore, using (-1, -2) and (-5, -4)
Hence, the slope of a line is the change in the dependent variable with respect to the change in the independent variable.
Therefore,
m = -4 + 2 / -5 + 1
m = - 2 / -4
m = 1 / 2
Therefore, let's find the y-intercept using (-1, -2)
y = 1 / 2 x + b
-2 = 1 / 2 (-1) + b
-2 + 1 / 2 = b
- 3 / 2 = b
Therefore, the equation of the line is y = 1 / 2 x - 3 / 2.
learn more on slope intercept form here: brainly.com/question/29150985
#SPJ1
Fill In The Blank
The diagonal line represents (blank) of the hypotenuse
Answer:
diagonal
Step-by-step explanation:
The diagonal line cuts the square into two equal triangles. Their hypotenuse is the diagonal of the square, so we can solve for the hypotenuse.
Mitch made a dot plot of the number of hours that students in his grade spent this week watching television. Use the data to choose true or false for each statement
Answer:
the first one is false
second one is True
Third one is false
fourth one is false
Step-by-step explanation:
I just looked at the chart please mark me brainlest answer
Answer:
the first one is false
second one is True
Third one is false
fourth one is false
Step-by-step explanation:
its right on envisions.
Problem 1. (Solution of Linear System of Equation) Describe the solution of the following linear system of equations in parametric vector form x1+2x2+3x3 = 6
4x1+5x2+6x3 = 15
The required parametric vector form of the given linear System of Equation solution is given by x1 = (3 + 2t)/2 , x2 = t , x3 = (3 - 2t)/2.
System of linear equations is equals to,
x1 + 2x2 + 3x3 = 6
4x1 + 5x2 + 6x3 = 15
In augmented matrix as,
\(\left[\begin{array}{cccc}1&2&3|6\\4&5&6 |15\\\end{array}\right]\)
Use row operations to transform the augmented matrix into row echelon form or reduced row echelon form,
To get the solutions to the system of equations.
Using row operations,
Subtract four times the first row from the second row to get,
\(\left[\begin{array}{cccc}1&2&3|6\\0&-3&-6 |-9\\\end{array}\right]\)
Further simplify the matrix by dividing the second row by -3,
\(\left[\begin{array}{cccc}1&2&3|6\\0&1&2 |3\\\end{array}\right]\)
Now, use back substitution to solve for the variables.
Starting from the last equation, we have,
2x3 = 3 - x2
Substituting this into the first equation, we have,
x1 + 2x2 + 3(3 - 2x2)/2 = 6
⇒2x1 + 4x2 + 9 - 6x2 = 12
⇒ 2x1 - 2x2 = 3
⇒x1 = (3 + 2x2)/2
Solution of the system of equations in parametric vector form is,
x1 = (3 + 2t)/2
x2 = t
x3 = (3 - 2t)/2
where t is any real number.
Therefore, the parametric vector form of the system of equation is equal to x1 = (3 + 2t)/2 , x2 = t , x3 = (3 - 2t)/2.
Learn more about parametric vector form here
brainly.com/question/13266648
#SPJ4
Simply the following ratios:
4:6
14:8
15:10
6:15
Answer:
Divide them by 100 or use fraction
The pre-image of pentagon PENTA is rotated 90° clockwise about the origin to create the image of pentagon P'ENTA. Which statement is true?
A. The sum of the angle measures of pentagon PENTA are less than the sum of the angles measures of pentagon P'ENTA
B. After the rotation has been completed, all of the coordinates of the image will be in Quadrant
C. Each side length of pentagon P'ENTA' is twice as long as each corresponding side length of pentagon PENTA.
D. The area of pentagon PENTA is the same as the area of pentagon P'E'NTA
Solve when p=9 6p(3p - 2) *
36450
Step-by-step explanation:
6(9)(3(9) -2)
54(27-2)
1458(25)
36450
Answer:
1350
Step-by-step explanation:
p = 9
6p ( 3p - 2 ). 6 ( 9 ) ( 3 ( 9 ) - 2). .. ( p = 9 :- given)54 ( 27 - 2)54 × 251350please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answer:
I think its C
Step-by-step explanation:
Questionif triangle ABC has one angle measuring 90° and one angle mealuring 45, which of the following is true? Choose all thatapplySelect all that applyABC is an acute triangleABC is a right triangleABC is an obtuse triangleABC is an isosceles triangleABC is a scalene triangle
hello
i will make a diagram of what this question is trying to depict
triangle ABC is an acute triangle because we have an angle of 45 degrees
triangle ABC is also an isosceles triangle because we have two sides equal
lastly, triangle ABC is a right angle triangle because one of it's sides is equal to 90 degrees
A flagpole casts a shadow that is 21m long when the angle between the suns ray and the ground is 48. Determine the height of the flagpole to the nearest metre
Answer:
23 m
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships between angle functions and side measures in a right triangle. The geometry of this problem can be modeled as a right triangle with one leg (h) equal to the height of the pole, and one leg (21 m) that is the shadow length on the ground. The angle of the sun's rays is the angle opposite the h leg, so we can use ...
Tan = Opposite/Adjacent
tan(48°) = h/(21 m)
h = (21 m)tan(48°) ≈ 23.32 m
The height of the flagpole is about 23 meters.
A 2-column table with 4 rows. The first column is labeled x with entries 0, 1, 4, 5. The second column is labeled y with entries 0, 1, 4, 5. What is the correlation coefficient for the data shown in the table? 0 1 4 5
Answer:
The answer is 4
Step-by-step explanation:
Answer: 4
Step-by-step explanation:
A correlation coefficient a numerical measure of change of two variables, but it is often a sample from a data set. Considering there is no change between our x and y variables that align in our change, the correlation coefficient I thought it would be is 0, but answering C.4 got an 100% on the Edge Test.
Aris and Josiah are reading a 50-page book for their ELA class. Aris wants to know what page Josiah is reading. Josiah gives her two hints: 1. The product of the two page numbers he can see is 930. 2. The page he is reading is an odd numbered page.
Answer:
31
Step-by-step explanation:
Let x and (x + 1) be the page numbers Josiah can see
Hint 1: x(x + 1) = 930
⇒ x² + x = 930
⇒ x² + x - 930 = 0
Using quadratic formula,
\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)
a = 1, b = 1 and c = -930
\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)
\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)
Sice x is a page number, it cannot be negative
⇒ x = 30 and
x + 1 = 31
The two pages Josiah can see are pg.30 and pg.31
Hint 2: The page he is reading is an odd number
Out of the pages 30 and 31, 31 is an odd number
Thereofre, Josiah is reading page 31
I don’t understand stand this can somebody please help me
Answer:
C
Step-by-step explanation:
The radius is 7, but in the standard form for a circle, the radius is squared which means that the answer is NOT A and B.
So now you have only two choices, C and D both of which have the radius shown as 49 which is 7 squared.
The center is at (5,-1)
that means that x will be written as (x - 5)
And y will be written as (y + 1)
Note: the signs of the center always change to the opposite of what they were.
The answer is (x - 5)^2 + (y + 1)^2 = 49
Why did the coffee shop server love the job? Because they were so...
Answer:
grain sited
Step-by-step explanation:
I need help I don't understand it
who can help me out in basic mathematics IT
Answer:
Whats the question?
Perform the following mathematical operation, and report the answer to the appropriate number of significant figures.
1204.2 + 4.72613 = [?]
The answer is not 1208.92613 / 1200
Answer:
1,208.92613
Step-by-step explanation:
this is the answer
1. The proportion, p, of consumers who shop with coupons
is the ratio of the number, C, of consumers who use coupons
to the number, N, of consumers asked. Write an equation
for the proportion of consumers who shop with coupons.
The equation for the proportion, p, of consumers who shop with coupons is: p = C/N where C is the number of consumers who use coupons and N is the total number of consumers asked.
What is equation?An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.
Here,
This equation represents the ratio of the number of consumers who use coupons to the total number of consumers. It is commonly used in statistics and market research to measure the prevalence of a certain behavior or preference among a population. By calculating the proportion of consumers who use coupons, businesses can make informed decisions about their pricing strategies, promotions, and advertising campaigns.
To know more about equation,
https://brainly.com/question/2228446
#SPJ9
Shawn and Nick are both selling t-shirts to raise money for their school trip. Shawn spent $250 on supplies and charges $35 per shirt. Nick spent $100 in supplies and charges $25 per shirt. How many shirts must be sold in order for Shawn to earn the same as Nick?
Answer:
15
Step-by-step explanation:
Shawn: 35x - 250
Nick: 25x - 100
35x - 250 = 25x - 100
10x = 150
x = 15
Bryan was selling tickets for a school play. Adult tickets cost $10 and children's tickets cost $5. If Bryan madea total of $310 in one day of sales write an equation that could represent the number of adult's
(a) tickets and children's tickets sold.
Answer:
Step-by-step explanation:
10(a)+5(c)=310
a= number of adult
c= number children
how far will a train travel in 5hours if it travels at 80ml per hour
Answer:
If the ml means miles than its 400
Step-by-step explanation:
I dance I sing I am perfect I am I am a believer that I am a discoverer. PLEASE ANSWER I'LL MARK AND BRAINLIEST
Answer:
not sure if its a song or not but you do you, gg <3
Answer:
YAZZ You are amazing :> remind yourself everyday!!!
HELP WILL GIVE BRANLIEST!
Answer:
Step-by-step explanation:
Seven hundred six million three thousand two hundred forty five
Answer:
I think it is: 700, 6000000, 3,000, 245.
Step-by-step explanation:
Poppy gets semi-monthly paycheck of $2,375. What is her annual income?
Answer:
57,000
Step-by-step explanation: