Step-by-step explanation:
Let x be the number
6+4x=42
4x=36
x=9
!!!!!!!
Two parallel sides of a trapezium are 120 cm and 154cm and the other sides are 50 cm and 52 cm. Find the area of trapezium.
6576 cm2
See the image encrypted above.
If a is an odd number, b is not divisible by 3 and LCM of a and b is P, what is the LCM of 3a and 2b?
Answer:
The LCM of 3a and 2b = 6P
Step-by-step explanation:
LCM of 3 a and 2 b will be 6 p
Since a is odd, which means it's not divisible by 2. Therefore a can be number 1, 3, 5, 7, 9, 11, .......
b is not divisible by 3, which means b can be number 1, 2, 4, 5, 7, 8, 10, 11, .....
LCM of a and b is P
Factors of 2b can be 2 multiplied by (1, 2, 4, 5, 7, 8, 10, 11, ..... )
Factors of 3a can be 3 multiplied by (1, 3, 5, 7, 9, 11, .......)
So, to get the LCM of 3a and 2b, since we already show the factors of a and b, Then, 3 X 2 X P (remember P is the LCM of a and b)
The LCM of 3a and 2b = 6P
which segments are congruent?
Answer:
LN and NK
Step-by-step explanation:
line LK was bisected (cut in half) by JM
the segment created by the bisector will be congruent
Write the equation in slope-intercept form from the graph
Answer:
[tex]1) y=\frac{1}{2} x+1[/tex]
[tex]2)y=-x-1[/tex]
[tex]3)y=-\frac{1}{2} -3[/tex]
Step-by-step explanation:
Hope this helps
the equation cos(x)( cos(x)-tan(x)sin(x)) simplifies to
Express 60g as a percentage of 3kg?
Answer:
SOLUTION IS ON PICHOPE IT HELPS YOUMARK AS BRAINLIST ANSWERSUPER IMPORTANT AND I NEED HELP 30 points if you answer
Polygon Y is a scaled copy of Polygon X using a scale factor of 1/3
Polygon Y's area is what fraction of Polygon X's area?
Answer:
1/9th
Step-by-Step Explanation:
The area is measured in units squared, then you have to square 1/3 which is 19th.
Answer:
1/9
Step-by-step explanation: i think so
the square of the product of 4 and a number is the sum of the number and 15
Answer:
(4x)^2 = x + 15 or
16x^2 = x + 15
16x^2 - x - 15 = 0
or x =1 and x = -0.9375
Make sure next time that you ask a question..
Step-by-step explanation:
This shouldn't really be answered unless we are sure when the answer is there.
4x is the product of a number and 4
(4x)^2 = 16x^2
this will equal x + 15
16x^2 = x + 15
The question is that the answer? I suspect it is.
16x^2 - x - 15 = 0
This might be the answer. It's not clear.
"""""""""""""""""""""""""""""""""""""''''
Believe it or not, this factors without using the quadratic formula
(16x + 15) ( x - 1) = 0
16x + 15 = 0
x = - 15/16 = - 0.9575
x - 1 = 0
x = 1
Dylan is saving money to buy a new bike that costs $195. He has $25 already saved and plans to save $40 each week. Which equation can be used to find the number of weeks he will need to save money to buy the bike?
Answer:
25+40x=195
Step-by-step explanation:
If he already has $25, you need to add that to 40x (40 times the amount of weeks it takes to get to 195, added with 25).
AC =
Round your answer to the nearest hundredth.
?
?
с
A
70°
B
Answer:
AC = 3.76
Step-by-step explanation:
take 70 degree as reference angle
using sin rule
sin 70 = opposite / hypotenuse
0.939 = AC /4
0.939 * 4 = AC
3.756 = AC
3.76 = AC
Answer:
AC = 3,76
Step-by-step explanation:
Sin70 = AC/AB
Sin 70 = AC/4
AC = Sin70×4
AC = 3,76
Find the area of this circle. Use 3 for pi
Step-by-step explanation:
given pi value= 3
radius=7
we know,
area of a circle(A)= πr²
= 3×7²
=147cm²
Answer:
A = 147 cm²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Circle Formula: A = πr²
r is radiusStep-by-step explanation:
Step 1: Define
Identify
r = 7 cm
Step 2: Find Area
Substitute in variables [Area of a Circle Formula]: A = 3(7 cm)²Evaluate exponents: A = 3(49 cm²)Multiply: A = 147 cm²PLEASE HELP: Click on the graph to choose the correct answer to the equation.
y > 2
(Choose one of the graphs from the image as the answer)
Answer:
The 8th graph.
Step-by-step explanation:
It has a horizontal line over two which indicates that the y axis is known and over 2.
The required graph of the given inequality y > 2 is shown in the attached file, which is the correct answer that would be an option (H).
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
We have been the given inequality y > 2
Plot the "y=" line (a solid line for y or y, and a dashed line for y or y>). The shade above the line for a "greater than" (y> or y), or below the line for a "less than" (y or y).
It has a horizontal line over two which represents that the y-axis is known and over 2 in the attached graph.
Therefore, the required graph of the given inequality y > 2 is shown in the attached file.
Hence, the correct answer would be option (H).
Learn more about inequalities here:
brainly.com/question/20383699
#SPJ2
If Z={x:x€ integrates -2<×<2}.List the elements of this set and also express it in description method.
Answer:
Z = {-1, 0, 1}
"The set Z is the set of integer numbers that are larger than -2 and smaller than 2."
Step-by-step explanation:
I guess that here we have:
Z = {x : x ∈ integers / -2 < x < 2}
From this we know that:
Z contains only integer numbers.
Z contains only integer numbers that are larger than -2, and smaller than 2
Let's find these integers:
-1 is larger than -2 and smaller than 2
0 is larger than -2 and smaller than 2
1 is larger than -2 and smaller than 2
So our set is:
Z = {-1, 0, 1}
And in description method (just using words)
"The set Z is the set of integer numbers that are larger than -2 and smaller than 2."
PLSSSS HELP fast pls !!
Answer:
16p^2 - 9
Step-by-step explanation:
Use FOIL method of multiplication
Given: AD diameter of Circle P. If m 1 = 40°, then m AB = A)80 B)40 C)20
Answer:
20
Step-by-step explanation:
lol
Answer:
20
Step-by-step explanation:
A pair of fair dice each numbered 1 to 6 is tossed . Find the probability of a score of :
i. two odd numbers.
ii. a sum of 8 or a sum of 12.
ii. both prime or both odd numbers.
Answer:
i)
Odd numbers:
1, 3, 5 - 3 options of 6P(odd and odd) = 3/6*3/6 = 1/4
ii)
Total outcomes:
6*6 = 36Sum of 8:
2 + 6, 3 + 5, 4 +4, 5 + 3, 6 + 2 - 5 optionsSum of 12:
6 + 6 = 12 - 1 optionP(8 or 12) = 5/36 + 1/36 = 6/36 = 1/6
iii)
Prime numbers:
2, 3, 5 - 3 options of 6Odd numbers:
1, 3, 5 - 3 options of 6P(prime or odd) = 3/6*3/6 + 3/6*3/6 = 1/4 + 1/4 = 1/2
This square and a triangle have the same area.
8 cm
? cm
9 cm
What is the length of one side of the square??
cm
Answer:
[tex]18cm[/tex]
Step-by-step explanation:
A of triangle =
[tex] \frac{1}{2} bh[/tex]
[tex] \frac{1}{2} \times 9 \times 8[/tex]
[tex] = 36cm2[/tex]
A of square=
[tex]s2[/tex]
[tex]36 = s2[/tex]
[tex] \sqrt{36cm2} = \sqrt{s2} [/tex]
[tex]18cm = s[/tex]
Please help...redoing past papers so I need to cross-check with someone to see if they are correct
Answer:
4 < k < 12
Step-by-step explanation:
The given function is y = 2·x² + k·x + 2·k - 6
Where the curve lies above the x-axis for all values of x, the function does not have a root and the discriminant, Δ, is negative, to give complex roots
∴ The discriminant Δ = k² - 4·2·(2·k - 6) < 0
k² - 4·2·(2·k - 6) = k² - 16·k + 48 < 0
(k - 12)·(k - 4) < 0
∴ k < 12 or k > 4 given that by substitution, we have;
When k = 3 < 4
k² - 16·k + 48 = 3² - 16×3 + 48 = 9 > 0
Also the product of two negative numbers is larger than 0
Therefore, the set of values of k for which the curve lies above the x-axis for all values of x is 4 < k < 12
9
Find the area of the triangle.
Please help
Answer:
[tex]6ft^2[/tex]
Step-by-step explanation:
The formula to find the area of a triangle: [tex]A=\frac{1}{2} bh[/tex]
The base is 4 because 2 + 2 = 4
[tex]A=\frac{1}{2}( 4)(3)[/tex]
[tex]A=\frac{1}{2} (12)[/tex]
[tex]A=6[/tex]
Hope this helps
Answer:
A) The first one for whole triangle = 6ft^2
or
B) The second one for blue = 3ft^2
Step-by-step explanation:
T1 Area = 1/2 x 3 x 4 = 6ft^2
T2 Area = 1/2 x 3 x 2 = 3ft^2
T3 Blue Area = 6-3 = 3ft^2
Solve the system of equations:
(1) x - y = 3
(2) 7x - y = -3
Answer:
x= 70
and y = 67 then
-70-67 =-3
Answer:
x=-1 y=-4
Step-by-step explanation:
answer is in the photo above
Fragrant Fields Greenhouse sells rose bushes for $19.90 each. Last weekend, they made $477.60 on rose bushes. How many rose bushes did they sell?
Answer:
24 brushes
Step-by-step explanation:
Given data
cost per brush= $19.90
Amount made =$477.60
hence the number of brushes sold is given as
Number of brushes= 477.60/19.90
Number of brushes= 477.60/19.90
Number of brushes= 24 brushes
help 0-0-0-0-0-0-0-0-0-0-0-0-0-0
Answer:
(12,0)
Step-by-step explanation:
So whenever you are asked for an "intercept" it is the point where a line crosses the axis. The x intercept is where the line crosses at the x axis (horizontal line on the graph) and the y intercept is where the y axis crosses (vertical axis).
So this question is really asking where is the point when y = 0
The x values in the chart are 5 apart-- 22 +5 = 27, 27+ 5 = 32
The y values are 18 apart --> 36 + 18 = 54, 54+ 18 = 72
Make a little chart where y = 0 (this is where the x crosses) and you can see
there is a point at (17, 18) and then (12, 0) and that point is the x intercept.
Answer:
(12, 0)
Step-by-step explanation:
the x-intercept is the point, where y=0.
so, the second coordinate is therefore 0, no matter what.
now, at what x is that ?
let's find the line function.
a line is
y = a×x + b
let's use the first point (22, 36)
36 = a×22 + b
a = (36 - b)/22
let's use the second point (27, 54)
54 = a×27 + b
now we use the first expression describing a in terms of b and insert that into the second expression.
54 = 27×(36 - b)/22 + b
54×22 = 27×(36 - b) + 22b = 972 - 27b + 22b
1188 = 972 - 5b
216 = -5b
b = -43.2
=>
a = (36 - -43.2)/22 = (36 + 43.2)/22 =79.2/22 = 3.6
our line is
y = 3.6x - 43.2
so, now back to the question, at what x is y=0 ?
0 = 3.6x - 43.2
3.6x = 43.2
x = 12
find the value of (1) sin 60°+cis 30°/ tan 30°*tan 60°
Answer:
sin60°+cos30/tan30*tan60
1/2+√3/2/1
1+√3/2
Q 18. Find the volume of a cylinder of diameter = 4 mm & height = 8 mm. Round to the nearest tenth if necessary. *
A. V= 131.1 mm^3
B. V= 116.9 mm^3
C. V= 100.5 mm^3
D. V= 230.0 mm^3
Answer: 100.5
Step-by-step explanation:
multiply 3.14 by 2 to the 2nd power by 8. so first 2 to the second power is 4. Then 4x8 is 32. Final step is to multiply 3.14 by 32 to get 100.48. Then you gotta round to get 100.5.
What is cramer's rule ??
Cramer's rule is an explicit formula for the solution of a system of linear equations. That has many equations as unknowns and valid whenever the system has a unique solution.
Answer:
Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution.
A circle has a radius of 6cm. What is the area of a sector subtended by an angle of 30 degrees
Answer:
1/12 of the area of the circle
Step-by-step explanation:
Since the total angle measure of a circle is 360 degrees, a 30 degree sector is 30/360=1/12
It takes 26 recyclable plastic soda bottles to make one polyester suit. How many bottles will be needed to make one dozen suits??
Need your help.
Answer:
It would take 312 bottles to make one dozen suits.
Step-by-step explanation:
One dozen suits = 12 suits.
As each suit costs 26 plastic soda bottles to make, we simply multiply 26 bottles by 12 suits to get 312 bottles.
NEED ANSWER(s)!!! THANK YOU!!!
Answer: A. Sea otter (5 meters below sea level) Fish(1 meter below sea level) and Bird (4 meters above sea level)
B. Fish is closest to sea level by only 1 meter, Bird is 4 meters above sea level, so it would be second, and Sea Otter is the farthest from Sea level because it is 5 meters under sea level
Step-by-step explanation: that is my explanation, and to explain what i said, 0 is sea-level
What is the length of the hypotenuse of the right triangle? Enter your answer in the box.
image
Answer:
10 ft
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
let h be hypotenuse, then
h² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )
h = [tex]\sqrt{100}[/tex] = 10
The hypotenuse is 10 ft
Answer:
the answer is 10 but you can ask your friends too
Step-by-step explanation:
h=p2+b2
root under 8 square +6 sqaure
root under 64±36
root Under 100
equals 10
i uses to learn like this but I'm not sure
Please help me. I am so confused right now and I need to turn this in asap.
Answer:
sorry only doing the ones im sure of
a)
FBC is half the circle, so the angle would = 180.
180 - 135 = 45, so thats the angle between BC
its a vertical angle, so it would be the same on the other side, between FE
the only angle left is betweeen DC, so add them all up and minus by 360
360 - 306 = 54
b)
a triangle's angles add up to 180, so
49 + 70 = 119
180 - 119 = 61
since this is an inscribed angle that isnt connected to the center, the arc will be double the angle
so ? = 122
d)
5(8) = 40
40/4 = 10
x = 10
f)
the rest of the circle is 243 bc 360-117=243
243 - 177 = 126
126/2 = 63
