Answer:
20
Step-by-step explanation:
First, you need to find the length of each of the bases of this trapezoid. YZ has length 5-2=3, while XW has length 8-1=7. The average of these is 5, meaning that since the height of this trapezoid is 5-1=4, the area is 4*5=20. Hope this helps!
To make 1 batch of vegetable soup, Sam needs 16 ounces of water and 8 ounces of vegetables. How does the amount of water compare to the amount of vegetables?
Answer:
1x16
Ste divided by 16 p-by-step explanation:
PLEASE HELP ITS TIMED!!
25 POINTS!!!!Which of the following statements are true? Select all that apply.
A + B = B + A
C - D = D - C
B + 0 = B
E - C = E + (-C)
|A| = |E|
Answer:
A+B=B+A
B+0=B
E-C=E+(-C)
Step-by-step explanation:
Answer:
A) A+B = B+A
C) B+0= B
D) E-C= E+(-C)
Step-by-step explanation:
A student solved the following system of equations
incorrectly using these steps:
2x + 5y = 13
-x + 4y = 13
What error did the student make?
In line 2, the student forgot to multiply the
right side of the equation by 2.
In line 3, the student should have subtracted
the equations instead of adding them.
In line 3, the student added the two equations
incorrectly
In line 5. the student used an incorrect
equation when solving for x
1 2x + 5y = 13
2 + -2x + 8y = 13
3
13y = 26
4
y = 2
DONE
5
6
7
8
2x + 5(2) = 13
2x + 10 = 13
2x 3
X = 1.5
The solution to the system is (1.5.2).
5Intro
Answer:
if the solution to the system is 1.5 and 2
Then the mistake was in line 2 the student should have subtracted the eqations instead of adding them.
Step-by-step explanation:
if y = 2
Then 8y -5y = 3y
4x -x = (4 = 1.5 x 2 2/3) =4 if x = 1.5
3y = 2 2/3 = 3 if y = 2
The ratio stays the same.
The student mistake was in line 2, the student forgot to multiply the
right side of the equation by 2.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Given:
2x + 5y = 13
-x + 4y = 13
The first steps are correct.
In second step the LHS and RHS both should be multiplied by 2.
So,
-2x + 8y = 26
But, the student only multiply 2 on the LHS side.
Hence, the student mistake was in line 2, the student forgot to multiply the right side of the equation by 2.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ2
HELP PLEASE I NEED HELPPPP
What is the sign of....
a x (-b/b)
when a =0 and b<0
A. positive
B. negative
C. zero
THIS IS ON KHAN ACADEMY AND I DONT GET IT IF U ANSWER ILL GIVE YOU BRANLIEST AND 100 points PLEASE JUST HELP MEH
Answer:
C. zero
Step-by-step explanation:
a * (-b/b)
-b/b = -1
a* -1
If a = 0 then
0 * -1 = 0
Answer:
0
Step-by-step explanation:
pls give brainliest
Hello, this is the owner sister, but can you please help me?b Please dont remove this for silly things
I need help with this too....Thanks In advance and will.give you five star and brainlist....
Answer:
1/8
Step-by-step explanation:
I think you mean under 5 minutes
1/4*1/2
1/8 probability that the next call will be a customer complaint and will be dealt with under five minutes
(I am not sure if I'm correct with the proportions)
What angle measure is complementary to a 65 angle?
Answer:
x = 25
Step-by-step explanation:
Complementary angles add to 90 degrees
x+65 = 90
Subtract 65 from each side
x = 90-65
x = 25
The Definition of Complementary Angles states that if two angles are
complementary, then the sum of their measures is 90°.
To find the complement of an angle, we take 90 degrees minus the
measure of the angle which in this case 90° - 65° or 25°.
So the complement of the 65° angle measures 25°.
Robert climbed 775 steps in 12 1/2 minutes. How many steps did he average per minute
Answer:
62
Step-by-step explanation:
Because 775 divided by 12 1/2= 62
What is the surface area of a cone with a radius of 3 cm and a length of 8 cm
Answer: surface area = 108.8 sq. cm
Step-by-step explanation:
A=πr(r+√h2+r2)
Answer:
108.8cm^2
Step-by-step explanation:
Surface Area
A = πr(r+ √h2+r2)
A= π3 * (3 +1/3) √64 + 9 (+ 3) = sqroot 17 +3 = 20 + (3 x 4) = π32
A= 108.7
Volume
V=πr2h/3
V= π9*8 = π72/3 = 226.28/3
V= 72.4cm^3
Additional
The cone has a radius of 3cm and height of 8cm, find total surface area of the cone.
To begin with we need to find slant height of the cone, which is determined by using Pythagoras, since the cross section is a right triangle.
l2 = h2 + r2
l2 = 64 + 9
l = √(73)
l = 8.54 cm
And the total surface area of the cone is:
SA = πr2 + πrl
SA = π · r · (r + l)
SA = π · 3 · (3 + 8.54)
SA = π x 3 . 11.54
SA = 9.42477796077 x 11.54 = 108.76 cm2
SA = 108.8cm^2
Find the slope-intercept form of an equation for the line that passes through (–1, 2) and is parallel to y = 2x – 3.
Question 2 options:
a)
y = 2x + 3
b)
y = –0.5x – 4
c)
y = 2x + 4
d)
y = 0.5x + 4
Answer:
c) y= 2x +4
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient.
Gradient of given line= 2
m= 2
y= 2x +c
To find the value of c, substitute a pair of coordinates into the equation.
when x= -1, y=2,
2= 2(-1) +c
2= c -2
c= 2 +2
c= 4
Thus, the equation of the line is y= 2x +4.
What problem can be solved by the equation ? 2.50x-2.00=10.50
Answer:
Joe earns $2.50 for every dog he walks. He also owes $2 to his mom. How many dogs does he need to walk in order for him to get $10.50
Answer:
5.004
Step-by-step explanation:
You have to add 2.00 to the other side of 10.50 and add them both because they are positive and u should get you number 12.50 and brin down 2.50 and divide and u should get ur answer.
In the diagram shown, m <AOC =124 and OA=10 cm. Which of the following is closest to the length of
arc ABC?
(1) 20.6
(2) 21.6
(3) 40.4
(4) 41.2
Answer:
(2) 21.6
Step-by-step explanation:
The segment OA is the radius of the circle
The arc of the complete circle is equivalent to its perimeter
perimeter = 2*π*radius = 2*π*10 = 62.83 cm
This arc is proportional to 360°. So, for 124°:
360°/124° = 62.83 cm/ x cm
x = 124*62.83/360
x = 21.6 cm
Which expression is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot?
x Superscript five-thirds Baseline y
s Superscript five-thirds Baseline y Superscript one-third
x Superscript three-fifths Baseline y
x Superscript three-fifths Baseline y cubed
Answer:
The correct option is B:
B) x superscript five-thirds Baseline y superscript one-third
Step-by-step explanation:
The expression can be written as:
[tex]\sqrt[3]{x^5y}[/tex]
We know that cube root can also be written as the power of 1/3, So
[tex]\sqrt[3]{x^5y} = (x^5y)^{1/3}[/tex]
Multiplying the power with both variables
[tex](x^5y)^{1/3} = x^{5\cdot1/3}\cdot y^{1\cdot1/3}[/tex]
Simplifying the equation to get final form
[tex]x^{5\cdot1/3}\cdot y^{1\cdot1/3} = x^{5/3}\cdot y^{1/3}[/tex]
As we can see that it is similar to the option B which is
B) x superscript five-thirds Baseline y superscript one- third
the correct option is B
The expression which is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot is;
x Superscript five-thirds Baseline y Superscript one-thirdThe expression can be written as;
[tex] \sqrt[3]\frac{{ {x}^{5} } }{y} [/tex]
In essence, Upon simplification; we have;
x⁵ ^(1/3) × y^(-1/3)Therefore, we have;
x^(5/3) × y (-1/3)The expression therefore becomes;
[tex] \frac{ {x}^{ \frac{5}{3} } }{ {y}^{ \frac{1}{3} } } [/tex]
Read more on indices;
https://brainly.com/question/1592472
Need Help ASAP will give brainliest!!!
Answer:
216 ft²
Step-by-step explanation:
For this question, first find the area of the outsides of the square walls.
Since the cube has side lengths of 6, we can simply find the area of each wall. Remember, for a square, A = s².
A = 6²
A = 36. This is the area for each side of the wall. Since she is painting 4 walls, we can multiply this by 4.
36 ×4 = 144.
To find the area of the ceiling, we will need to use the formula for the area of a triangle : A = 1/2(bh). The base in the figure would be 6, and the height is also 6.
A = 1/2(6 ·6)
A = 1/2 (36)
A = 18. Therefore, each part of the ceiling is 18. Since the base is a square shape, there are 4 triangles that make up the ceiling. Multiply this by 4, giving you:
18 × 4 = 72.
Add the two areas from the walls and the ceiling:
144 + 72 = 216 ft²
Answer:
Ok, so i got 216
Step-by-step explanation:
mulityply 6✖️6✖️6=216 the rest of the numbers are tricking you hopefully this helps.
y = 6x - 11
- 2x – Зу = -7
Solve the systems of equations by substitution
The systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equations are y = 6x - 11 and
- 2x – Зу = -7
substitute y value in second equation.
-2x-3(6x-11)=-7
Apply distributive property
-2x-18x+33=-7
Combine the like terms
-20x+33=-7
Subtract 33 from both sides
-20x=-7-33
-20x=-40
Divide both sides by 20
x=2
Now subtract x=2 in equation 1
y=12-11=1
Hence, the systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
45x^7 divided by 9x^2
Answer:
5x^5
Step-by-step explanation:
45x^7 ÷ 9x^2=45÷9 × x^7÷x^2= 5x^5
The right answer is 5x^5
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
QUICK What is the solution to this system of equations? 3.2 x + 0.5 y = 4.2. Negative 1.6 x minus 0.5 y = 3.4.
Answer:
The solution is x=4.75 and y = -22
Step-by-step explanation:
To find the solution to the system of equations, we will follow the steps below:
3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)
-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)
add equation (1) and equation (2)
1.6x =7.6
Divide both-side of the equation by 1.6 to get the value of x
1.6x /1.6 =7.6/1.6
x =4.75
substitute x = 4.75 into equation (1) and solve for y
3.2(4.75) + 0.5y = 4.2
15.2 + 0.5y = 4.2
subtract 15.2 from both-side of the equation
15.2 - 15.2 + 0.5y = 4.2-15.2
0.5y = -11
Divide both-side of the equation by 0.5
0.5y/0.5 = -11/0.5
y = -22
The solution is x=4.75 and y = -22
Answer
x= 4.75 y=-22
Step-by-step explanation:
got it right on the unit test!!
Natasha uses 2.5 feet of twine to tie campfire wood into bundles. The proportional relationship between the number of bundles, x, and the amount of twine, y, in feet she uses is shown in the graph. What does the point (3, 7.5) represent in a graph?
Answer:
She uses 7.5 feet of twine to make 3 bundles of wood.
In the diagram shown,
ABCE is a trapezium,
AD is parallel to BC,
DE = 4cm,
Area of ABCE = 60cm^2,
Area of ABCD = 48cm^2,
Work out the values of f and g.
You must show all your working.
The values of f and g are;
f = 6
f = 6g = 8
We are given the trapezium ABCE where;
AD is parallel to BC
DE = 4 cm
Area of ABCE = 60 cm²
Area of ABCD = 48 cm²
f and g are sides of the rectangle ABCD. Thus;
fg = 48 - - - (eq 1)
Also,for the trapezium ABCE;
½(g + g + 4)f = 60
(2g + 4)f = 120 - - - (eq 2)
From eq 1, f = 48/g
Thus;
(2g + 4) × (48/g) = 120
96 + 192/g = 120
192/g = 120 - 96
192/g = 24
g = 192/24
g = 8
Thus;
8f = 48
f = 48/8
f = 6
Read more at;https://brainly.com/question/14742279
Television sets used to come with an aspect ratio of 4:3 (width is 4 units and height is 3 units). Since broadcast channels in the United States are now broadcasting in 16:9, most newer sets come with a 16:9 aspect ratio. Your brother believes that since you can rewrite the ratio 16:9 as 42:32, that means a 4:3 television set is similar to a 42:32 television set. Is this true? What argument would you use to clarify your or your brother’s thinking? What are the dimensions of a television set that would be similar to the 4:3 set?
Answer:
4×3=12
Step-by-step explanation:
all i did was multiple 4 times 3 and i came up with my answer
Answer:
78 percent wider than higher
Step-by-step explanation:
Write (6p)^2 without exponents
QI - The sum of the distance of a moving
point from the points (c,0) and (-c,0) is
always 2a units. Find the equation to the locus
of the moving point.
Answer:
[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]
Step-by-step explanation:
Let P be the moving point and the given points be A (c,0) and B (-c, 0). If (h, k) be the co-ordinates of any position of P on its locus then:
PA + PB = 2a
PA = 2a - PB
PA² = 4a² + PB² – 4a ∙ PB
PA² – PB² = 4a² – 4a ∙ PB
[(h - c)² +(k - 0)²] - [(h + c)² +(k - 0)²] = 4a² – 4a. PB
-4hc = 4a² – 4a∙PB
a ∙ PB = a² + hc
Taking square
a² ∙ PB² = (a² + hc)²
a² [(h + c)² + (k - 0)²] = (a² + hc)²
a² [h² + c² + 2hc + k²] = a⁴ + 2a²hc + h²c²
a²h² – h²c² + a²k² = a⁴ – a²c²
(a² – c²)h² + a²k² = a² (a² – c²)
h²/a² + k²/(a² – c²) = 1
Therefore, the required equation to the locus of P is
[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]
A right cylinder has a diameter of 40 mm in a high of 30 mm as soon what is the volume of the cylinders
________________________________
Hey!!
Solution,
Diameter=40 mm
Radius=40/2=20mm
Height=30mm
Volume of cylinder=?
Now,
Volume of cylinder=pi (r)^2 h
= 3.14*(20)^2*30
=3.14*400*30
=37,680 mm^3
So the right answer is of option A
hope it helps
Good luck on your assignment
__________________________________
Answer:
37,680 mm3
Steps:
Formula: Volume = Area * height
1: = (pi/4)*D^2 * h
2: = (pi/4)*(40)^2 * 30
3: = 37,680 mm3
Description:
We know that r is the radius and h is the height. So the
radius of the cylinder going to be r=40/2=20mm
Height of cylinder: 30mm
Meaning when you add up all the numbers answer will come as 37,680 mm3. So a is the right answer for this question.
Answer: A. 37,680 mm3
Please mark brainliest
Hope this helps.
What are the limitations of the ski slope scenario as a real-life example?
Answer:
the slope exists is a fairly major issue, using imaginary concepts allows for more freedom of geometric expression (subspace and hyperspacial theory). Since it is purely theoretical and imaginary greater freedom is offered to generate theories and structures.
Step-by-step explanation:
What is 1½ ÷ ⅜ plllllllllllzzzzz help!
Answer:
4
Step-by-step explanation:
1 1/2 ÷ 3/8
Change to an improper fraction
3/2 ÷ 3/8
Copy dot flip
3/2 * 8/3
Cancel like terms
8/2
4
Answer:
4
Step-by-step explanation:
all work is in the image below!
Factor the numerator and denominator and cancel the common factors.
Suppose statement p is true but statement q is false. Which of these compound statements are true? Check all that apply. p ∧ q, p ∨ q, p → q, q → p, p ↔ q, q ↔ p
Answer: the answer is p v q and q -> p
Step-by-step explanation:
edg 2022
The box plots show Devonte’s scores in Spanish and in French. Spanish 2 box plots. The number line goes from 50 to 100. For Spanish, the whiskers range from 55 to 95, and the box ranges from 60 to 85. A line divides the box at 70. For French, the whiskers range from 55 to 90, and the box ranges from 65 to 80. A line divides the box at 75. French Devonte inferred that his French scores have less variability than his Spanish scores. Which explains whether Devonte’s inference is correct? Devonte is correct because the range is greater for French. Devonte is correct because the interquartile range is less for French. Devonte is not correct because his highest grade is in Spanish. Devonte is not correct because the interquartile range is less for Spanish.
Answer:it's D i took the test.
Answer:
B
Step-by-step explanation:
i took the test
What is the vertex of the parabola given by y = x2 − 10x + 17? A. (5, -8) B. (-5, 8) C. (5, 8) D. (-5, -8)
Answer:
A
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 ), then
The x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = x² - 10x + 17 ← is in standard form
with a = 1 and b = - 10, thus
[tex]x_{vertex}[/tex] = - [tex]\frac{-10}{2}[/tex] = 5
Substitute x = 5 into the equation for corresponding value of y
y = 5² - 10(5) + 17 = 25 - 50 + 17 = - 8
vertex = (5, - 8 ) → A
The polygon below is a regular octagon
Calculate the sides of the angles x and y.
Answer:
x = 135 y = 45
Step-by-step explanation:
The sum of the measure of interior angles can be found by equation
(n - 2) x 180 n is the number of sides
(8 - 2)180 = 1080
Sum of measure of interior angles is 1080 degrees. Variable x, which we are solving for, it the measure of one interior angle. To find x, divide 1080 by 8 to find the measure of one interior angle.
1080 / 8 = 135
x = 135 degrees
We know that a trapezoid like the one formed in the octagon has 2 pairs of congruent angles. we know two of the angles already, as they are the measure of one interior angle, or 135 degrees. The sum of the measure of interior angles of a trapezoid is 360 degrees.
360 - 2(135) = 90
The sum of the remaining two angles of the trapezoid are 90 degrees. These two angles are equal, so divide 90 by 2.
90 / 2 = 45
y = 45 degrees.
135 45 Answer:
Step-by-step explanation: