Step-by-step explanation:
lcm = hcf × remaining expressions
7xy= 7 × x × y
6y² = 6 × y × y
here only y is common in both. so y is the hcf. now, without hcf, the remaining expressions are : 7x and 6y.
so LCM = hcf × remaining expressions
= y × 7x × 6y
= 42xy²
The circumference of a circle is 7.536 millimeters. What is the circle's radius?
BONUS 1. We have 5 Blue balls. + Red balls, and 3 Green balls. Find the probability that the ball that we pick is either a Red ball or Green ball
Answer:
8/13
Step-by-step explanation:
5 + 5 + 3 = 13 total
5 red balls + 3 green balls = 8
Through: (2/2), slope = -1/2
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
The deli gets 12 -pound blocks of cheese. They slice the cheese into 1/4 - pound and 1/2 - pound packages to sell to customers. How many 1/4 - pound packages of cheese can the deli make with 12 - pounds of cheese?
Answer:
Total number of package Deli made = 48 package
Step-by-step explanation:
Given:
Amount of cheese block = 12 pound
Amount of cheese in each package = 1/4 pound
Find:
Total number of package Deli made
Computation:
Total number of package Deli made = Amount of cheese block / Amount of cheese in each package
Total number of package Deli made = 12 / [1/4]
Total number of package Deli made = 12 x 4
Total number of package Deli made = 48 package
Answer: 48 packages
Find the volume of the pyramid. 2.4 m 1.4 m 1.8 m
Answer:
It should be 2.016 m cubed
Step-by-step explanation:
the formula is V= 1/3 ( l × w × h ) if you want to check
find the order pairs for y=-5x-4
Answer:
(0,-4),(1,1)(2,6)
Step-by-step explanation:
a person saves rs.100 in beginning and then every month he saves rs.50 more than the previous month.After how many months he saves rs.257500
Answer:
5148 months
Step-by-step explanation:
the equation that can be used to represent this question is :
100 + 50x = total amount that would be saved in x month
x = number of months
100 + 50x = 257,500
collect like terms
50x = 257,500 - 100
50x = 257,400
x = 257,400 / 50
x = 5148 months
The value of a second-hand car is £8,000.
Each year it loses 20% of its value.
Work out the value of the car after 5 years.
The value of the car will be £2,621 after 5 years.
What is exponential decay?Exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time.
Given that, The value of a second-hand car is £8,000. Each year it loses 20% of its value, we are asked to find its value after 5 years.
This is a situation of exponential decay.
Hence, using the exponential decay formula =
A = P(1-r)ⁿ
Where A is final value, P is principal value, r is rate of decrease and n is the number of years.
Here, we will find A, and we have,
P = £8,000.
r = 20% = 0.20
t = 5
Therefore,
A = 8000(1-0.20)⁵
A = 8000(0.80)⁵
A = 8000(0.32768)
A ≈ 2,621
Hence, the value of the car will be £2,621 after 5 years.
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kjs is a right triangle formed by the placement of 3 squares. what is the area of the shaded square?
area of small square = 87 in
side of big square = 18 in
The area of the square having the same length of the base of the triangle is 7245 square inches.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
From the given figure as the base of the triangle is an equal length of the side of a square we can obtain the area of the square by first applying Pythagoras on the right angle triangle having a height of 87 inches and a hypotenuse of 18 inches.
So,
Base = {√(87² - 18²)}.
Base = √(7245) inches.
Base = 85.11 inches.
Now, We also know that the area of a square is (side)².
Therefore it is (87.11)² which is the same as 7245 sq inches.
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Supplementary solving for x
Answer:
M<1 is 43 degrees and M<2 is 137
Step-by-step explanation:
This is a case of supplementary angles. M<1 and M<2 are supplementary, which means that their angle degrees added together will be equal to 180. The same is for M<2 and M<3, and M<3 and M<4, and M<1 and M<4. Basically, two angles are supplementary when they form a straight line, or 180 degrees
First, we know that M<1 and M<2 added together is 180. We know M<1 is 7x+1, so then, we have:
(7x+1) + (M<2) = 180
Therefore, we have 180-(7x+1) = M<2. We can't solve the equation further on from there, so we move on.
Next, we know that M<2 and M<3 added together is 180. We know that M<3 is 12x-29, so then, we have:
(12x-29) + (M<2) = 180
Therefore, we have 180-(12x-29) = M<2. Now, we have two equations to solve x:
180-(7x+1) = M<2 and 180-(12x-29) = M<2. As both equations equal M<2, they equal each other. Thus, we have:
180-(7x+1) = 180-(12x-29)
We can cancel out 180, so:
-(7x+1) = -(12x-29)
-7x-1 = -12x+29
-30 = -5x
x = 6.
Now that we have x, we can find M<1, M<3, and M<2. M<1 is (7x+1), so we use substitution, putting 6 for x, and M<1 is evaluated to 43 degrees.
Now that we have M<1, we can find M<2 easily. M<1 + M<2 = 180, so 43 + M<2 must be 180. Therefore, M<2 is 137 degrees.
We can do the same for M<3, but the problem does not require it.
What two rays form angle 1?
Answer:
box 2 and 3
Step-by-step explanation:
the rays are the only two that form the angle of 1
Please help As Soon As Possible
Answer:
9.0 ft
Step-by-step explanation:
Let the distance from the bottom of the board to the edge of the wall be represented as "x"
Angle measure = θ = 53.13°
Hypotenuse = 15 ft
Adjacent side = x ft
The trigonometric ratio we would apply would be CAH:
Thus,
Cosine θ = Adjacent/Hypotenuse
Plug in the values
Cos 53.13° = x/15
Multiply both sides by 15
15 * Cos 53.13 = x
9.00002143 = x
x ≈ 9.0 ft (nearest tenth)
Therefore, distance from the bottom of the board to the edge of the wall = 9.0 ft
Do the following set of points describe a function, a relation, both or neither?
(3, 6), (3, 3). (9. -3). (-5. -9)
Select all answers that apply.
A. Relation
B. Function
Answer:
It's Both
Step-by-step explanation:
for the first two co-ordinates, there are many y-value for a single x-value, then for the last two co-ordinates theres a single y-value for one x-value
dwkalbndjksedBGFesklfn sedfesg
Answer:
167.27.653000.9387400133.33323003196.2616833.333
Identify two segments that are marked congruent to each other on the
diagram below. (Diagram is not to scale.)
LJ and LI are the figure's two congruent portions. Congruency means that the segments' sizes and shapes will be comparable.
What is congruency?Two triangles are said to be congruent to one another according to the Side-Angle-Side Congruence Theorem (SAS) if the included angle and corresponding two sides of one triangle match those of the other. Two sides that are being considered are determined to have an included angle. Therefore, using the SAS Congruence Theorem to prove that two triangles are congruent based on the fact that they have two pairs of corresponding sides and one pair of corresponding angles is insufficient.
given
The two segments LI and LJ that are marked in the illustration are congruent to one another.
Congruency means that the segments will have the same size and shape.
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Please help! I will mark your brainiest, thank you!
Answer:
6
Step-by-step explanation:
The straight line (at the bottom) measures a total of 180 degrees. So we can write an equation where the sum of all of the angles = 180:
180 = 5x + x + 54 + 90
90 comes from the square indicating a right angle.
Using that equation, solve for x.
180 = 5x + x + 54 + 90
First, combine like terms.
180 = 6x + 144
Then subtract 144 from both sides
36 = 6x
Divide both sides by 6 to isolate x
6 = x
So x = 6°
15. Triangles ABC and DEF are similar.
Work out the length of BC.
Answer:
10cm
Step-by-step explanation:
Since ABC and DEF are similar, the ratio of their side is always the same.
The ratio here is:
DF/AC = 6/4 = 1.5
Therefore, it means that BC x 1.5 = EF
So:
BC x 1.5 = 15
BC = 15 / 1.5 = 10cm.
A triangle has dimensions 9ft by 12ft if you wanted to increase the size of the triangle by a scale factor of 10/3 what would the area of the new triangle be?
Answer:
The area of the new triangle would be A = (1/2) * 30ft * 40ft = (1/2) * 1200ft^2 = 600ft^2
Step-by-step explanation:
To increase the size of a triangle by a scale factor of 10/3, you can multiply each side length of the triangle by 10/3.
The new dimensions of the triangle would be (10/3) * 9ft = 30ft and (10/3) * 12ft = 40ft.
The area of a triangle is given by the formula A = (1/2) * b * h, where b is the length of the base and h is the height of the triangle.
Using the new dimensions of the triangle, the area of the new triangle would be A = (1/2) * 30ft * 40ft = (1/2) * 1200ft^2 = 600ft^2.
A sports ball has a diameter of 13 cm. Find the volume of the ball.
Answer:
V≈1150.35cm³
Step-by-step explanation:
Using the formulas
V=4 /3πr3
d=2r
Solving for V
V=1/ 6πd^3=1/ 6·π·13^3≈1150.34651cm³
A. Factor the polynomial expression –16(x2 – 3x – 4).
Answer: Hmmmmmm
Explanation
Help pls help me with this question please
The answer to this is A. I hope this helps
Angle α intersects the unit circle at point (-0.2538, 0.9673). What is the value of tan(α)?
The value of the tan(α) is -0.2624.
What is the tangent of an angle?In trigonometry, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.
In other words, it is the ratio of sine and cosine function of an acute angle such that the value of cosine function should not equal to zero.
Given that, the angle α intersects the unit circle at point (-0.2538, 0.9673). We need to find the value of tan(α),
We know that, the tangent of the angle is the ratio of the perpendicular and the base,
So,
tan(α) = -0.2538 / 0.9673
= -0.2624
Hence, the value of the tan(α) is -0.2624.
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The following data are from a simple random sample (The population is infinite): Data were collected on the amount spent by 130 customers for lunch at a major Houston restaurant. Based upon past studies the population variance is known with 256. Sample Mean: $21.5 Find the standard error of the mean. If needed round your intermediate calculations to no more than 2 decimal places. Round your final answer to 2 decimal places.
Answer:
1.40
Step-by-step explanation:
Given that
the number of customers are 130
The variance is 256
And, the sample mean is $21.50
We need to find out the standard error
So , the standard deviation is
= sqrt(variance)
= sqrt(256)
= 16
As we know that
standard error of mean = standard deviation ÷ sqrt(n)
= 16 ÷ sqrt(130)
= 1.40
What is the area of the kite?
A)
45 in2
B)
64 in 2
C)
80 in 2
D)
128 in2
Answer:
c
Step-by-step explanation:
Answer:
I believe it would be 64 in 2 correct me if I am wrong.
Please help triangle similarity
9514 1404 393
Answer:
(C) SAS
Step-by-step explanation:
The obtuse angles in each triangle are "corresponding" with respect to the segments marked parallel and the horizontal transversal.
Those angles are between pairs of proportional sides:
60/42 = 40/28 = 10/7
so, the applicable theorem is SAS. The triangles can be proven similar using the SAS theorem.
What is the slope of the line with the equation of y = =*
Ex that passes through the point (2, 1)?
A.) - 2/3
B.) - 3/2
C.) 2/3
D.) 3/2
When f(x) is divided by x-c, the remainder of
synthetic division is 0. Which of the following
statements are true?
A. (x-c) is a factor of f(x)
B. (0, c) is the y-intercept of the graph of f(x)
C. (c, 0) is the x-intercept of the graph of f(x)
D. Both A and B
E. Both A and C
Answer:
(x-c) is a factor of f(x)
Identify the local maximum for the function shown.
A)
(4,1)
B)
(1,4)
(-1,0)
D)
(0, -1)
Estthe product silve using an area model and the standard algorithm 1.7x55=
The expression 1.7 x 5.5 can be an area model of the rectangle where the length is 1.7 and the width is 5.5
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
The expression 1.7 x 55 is an area model.
Area of rectangle = length x width
Now,
Length = 1.7
Width = 55
Area = 1.7 x 5.5
Thus,
The expression 1.7 x 5.5 can be an area model.
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Which of the following lists all prime numbers between 6 and 18?