Answer:
The ratio of blue to red marbles is 3 to 8.
Hope this helps :) have a good day!
If r = 2 and a6 = 96 find the first term of geometric sequence.
Answer:
3
Step-by-step explanation:
If r=2, that means that each term in the geometric sequence is multiplied by 2.
So, if r=2, and the sixth term in the sequence is 96, then simply divide by 2 until you get to the first term.
Which is 3.
RM 74.97 is reduced for an item priced at RM 249.90. Find the percentage of a discount.
The coordinates of a rectangle are (3,0), (3,-5), (-4,0) and (-4,-5)
a. What is the length of this rectangle? ____ units
b.width? ____ units
c. What is the perimeter of the rectangle? ___ units
d. What is the area of the rectangle? ___ units
PLEASE HELP!! GIVING BRAINLIEST!!!
Answer:
a. 7 units
b. 5 units
c. 24 units
d. 35 units
a) The length of this rectangle is, 5 units.
b) The width of this rectangle is, √74 units
c) The perimeter of the rectangle is,
⇒ 2 (5 + √74)
d) The area of the rectangle is,
⇒ 5√74 units²
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
The coordinates of a rectangle are,
⇒ (3, 0), (3, -5), (-4, 0) and (-4, -5)
Now, The length of this rectangle is,
⇒ Distance between (3, 0) and (3, - 5).
⇒ √ (- 5 - 0)² + (3 - 3)²
⇒ √25
⇒ 5 units
And, The width of this rectangle is,
⇒ Distance between (3, - 5) and (- 4, 0).
⇒ √ (- 4 - 3)² + (0 + 5)²
⇒ √49 + 25
⇒ √74 units
And, The perimeter of the rectangle is,
⇒ 2 (Lenght + Width)
⇒ 2 (5 + √74)
And, the area of the rectangle is,
⇒ Length × Width
⇒ 5 ×√74
⇒ 5√74 units²
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7 wholes times 1 3/8
16=b-3 what is the answer
Answer:
19 is the answer .......explanation is in image.
Erica finds a block of cheese in her
fridge. Originally, the block weighed
126 g, but there is only 60% of it left.
How many 10-g wedges can she cut
from the cheese that is left?
Answer:
7 wedges
Step-by-step explanation:
=60% of 126g
=60 ÷ 100 × 126g
=75.6g
=75.6 g ÷ 10g
=7.56 = 7 wedges
A coordinate map of a college campus gives the coordinates (x,y) of three major buildings as follows: computer center, (3.5,-1.5); engineering lab, (0.5,0.5); andlibrary, (-1,-2.5). Find the equations in slope-intercept form of the lines connecting (a) the engineering lab and the computer center and (b) the engineering lab with the library. Are these two paths perpendicular to each other?
Answer:
a) [tex]y = -\frac{2}{3}x + \frac{5}{6}[/tex]
b) [tex]y = 2x - \frac{1}{2}[/tex]
These two paths are not perpendicular to each other.
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope of the line and b is the y-intercept.
If two lines are perpendicular, the multiplication of their slopes is -1.
(a) the engineering lab and the computer center
Coordinates (3.5,-1.5) and (0.5,0.5)
The slope is given by the change in y divided by the change in x.
Change in y: 0.5 - (-1.5) = 0.5 + 1.5 = 2
Change in x: 0.5 - 3.5 = -3
Slope: [tex]m = \frac{2}{-3} = -\frac{2}{3}[/tex]
So
[tex]y = -\frac{2}{3}x + b[/tex]
Now, to find the y-intercept, we replace one of these points into the equation.
(0.5,0.5) means that when [tex]x = 0.5 = \frac{1}{2}, y = 0.5 = \frac{1}{2}[/tex]
So
[tex]y = -\frac{2}{3}x + b[/tex]
[tex]0.5 = -\frac{2}{3}(0.5) + b[/tex]
[tex]b = \frac{1}{2} + \frac{1}[3}[/tex]
[tex]b = \frac{5}{6}[/tex]
So
[tex]y = -\frac{2}{3}x + \frac{5}{6}[/tex]
(b) the engineering lab with the library.
(0.5,0.5) and (-1,-2.5).
First, we find the slope:
Change in y:-2.5 - 0.5 = -3
Change in x: -1 - 0.5 = -1.5
The slope is: [tex]m = \frac{-3}{-1.5} = 2[/tex]
So [tex]y = 2x + b[/tex]
Now we find b
[tex]y = 2x + b[/tex]
[tex]0.5 = 2(0.5) + b[/tex]
[tex]b = -0.5 = -\frac{1}{2}[/tex]
So
[tex]y = 2x - \frac{1}{2}[/tex]
The multiplication of their slopes, is
[tex]2*\frac{-2}{3} = -\frac{4}{3}[/tex]
Since it is different of one, these paths are not perpendicular to each other.
Helpppppppppppp!!!!!!!!!!!
Triangles 1 and 2 have the angle measures
as shown.
Triangle 1
Triangle 2
1430 186 820
82°
550
Which statement is correct about triangle 1
and triangle 2?
Answer:
C
Step-by-step explanation:
Both triangles have three angles of the same value.
Remember that the angles in all triangles add up to 180°.
Let's use that to find out the unknown angles.
For the first triangle:
180 - 82 - 43 = 55°
55° is also in the second triangle.
Let's check with the second triangle:
180 - 82 - 55 = 43°
43° is also in the first triangle.
Therefore, both triangles are similar as the angles in both triangles are the same - 82°, 43° and 55°.
Hence, C.
Find the interest and amount of Rs. 12500 for
5 years at the rate of 8% per annum
Answer:
Can't help you in this Question
Find the volume of the following figure with the given dimension
Answer:
624inches squared.
Step-by-step explanation:
13×8×6=624
in how many ways can you arrange MATHEMATICS if duplication of the arrangement are not allowed?
Answer:
4989600 ways
Step-by-step explanation:
From the question,
The word MATHEMATICS can be arranged in n!/(r₁!r₂!r₃!)
⇒ n!/(r₁!r₂!r₃!) ways
Where n = total number of letters, r₁ = number of times M appears r₂ = number of times A appears, r₃ = number of times T appears.
Given: n = 11, r₁ = 2, r₂ = 2, r₃ = 2
Substitute these value into the expression above
11!/(2!2!2!) = (39916800/8) ways
4989600 ways
Hence the number of ways MATHEMATICS can be arranged without duplicate is 4989600 ways
When two graphed lines are Parallel what kind of solution is it?
Answer:
When the lines are parallel, there are no solutions, and sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions.
Step-by-step explanation:
The steam and the leaf plot list the ages of customers in a book store
How many customers are 19 or younger?
enter your answer in the box
Answer:
Step-by-step explanation:
Find the value of x.
3
x = [?]
Answer:
12
Step-by-step explanation:
According to Euclidian theorem h^2 = 3*x (h : height)
36 = 3x divide both sides by 3
12 = x
Suppose x=18,y=24, and z=30 in the figure, which is not drawn to scale. Determine the following values. Enter exact answers (as fractions), not decimal approximations. (e.g., enter 1/2 not 0.5)
cos(θ)=
sin(θ)=
tan(θ)=
cos(ϕ)=
sin(ϕ)=
tan(ϕ)=
Answer:
See explanation
Step-by-step explanation:
cos(θ)= 18/30 = 3/5
sin(θ)= 24/30 = 4/5
tan(θ)= 24/18 = 4/3
cos(ϕ)= 24/30 = 4/5
sin(ϕ)= 18/30 = 3/5
tan(ϕ)= 18/24 = 3/4
The value of the trigonometric ratios have been determined.
What are Trigonometric Ratios ?In a Right angled triangle , the trigonometric ratios are used to determine the value of angles and sides.
The side length of the triangle as given in the figure is 18 , 24 , 30
The value of the trigonometric ratios are
cos θ = Base / Hypotenuse
sin θ = Perpendicular / hypotenuse
tan θ = Perpendicular / Base
cos(θ)= 18/30 = 3/5
sin(θ)= 24/30 = 4/5
tan(θ)= 24/18 = 4/3
cos(ϕ)= 24/30 = 4/5
sin(ϕ)= 18/30 = 3/5
tan(ϕ)= 18/24 = 3/4
Therefore the value of the trigonometric ratios have been determined.
To know more about Trigonometric Ratios
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a) If the perimeter of a circle is 44 cm,
(i) find its radius.
(ii) find its area.
Answer:
[tex]154 \: {cm}^{2} [/tex]
Step-by-step explanation:
Let the radius be = r cm
circumference = 2πr
[tex]44 = 2 \times \frac{22}{7 } \times r[/tex]
[tex]r = \frac{44 \times 7}{44} \times 7[/tex]
[tex]r = 7 \: cm[/tex]
Area of circle =
[tex]\pi {r}^{2} [/tex]
[tex] = \frac{22}{7} \times 7 \times 7[/tex]
[tex] = {154 \: cm}^{2} [/tex]
Hope it is helpful....
A square pyramid is shown below:
A square pyramid is shown. The sides of the square base are labeled 0.9 foot. The height of one of the triangular sides is labeled 4 feet
What is the surface area of the pyramid?
Answer:
8.01 Is the answer your welcome
You need 30 credits to graduate high school. If you have completed 12 credits, what percent do you have left to graduate?
Answer:
12/30 = 40%
Step-by-step explanation:
12 divided by 30 = 40%
Give me a brainleist please
Answer:
you would have 60% of credits to complete before graduation.
Step-by-step explanation:
you already have 12 credits so subtract 12 from 30
30
- 12
-------------
18
that will bring you to the number 18
18 of 30 is a 60 percentage
~hope this helped :3~
what is the value for θ: sin (θ+20) = cos θ
Answer:
Step-by-step explanation:
Kylie is a psychologist who studies memory. She wants to see whether background music affects memorization.
Kylie randomly sorts 40 subjects into two groups. The 20 subjects in one group are given five minutes to memorize a list of words while background music is playing. The 20 members of the other group perform the same task without any background noise. Afterward, Kylie records how many words from the list each subject could remember.
Words memorized with background music
92914927282011132325162226141421131812
Mean: 18.2 words
Words memorized without background music
2824282427261371512276292022262220179
How much lower is the average for the treatment group than the average for the control group?
Answer:
14,96
Step-by-step explanation:
The area of the rectangle shown is 66 m2.
4m
x m
Work out the missing length x.
Answer:
16.5 m
Step-by-step explanation:
66÷4=x
x=16.5m
...........
...........
Complete the sentence about pattern G and pattern H. Use the table to help.
Answer: look at the picture
Step-by-step explanation: Hope this help :)
Explain how you would find the sum of 0.35, 0.5 and 0.05 giving your answer as a
fraction.
Answer: Here
Step-by-step explanation:ou have learned to think of multiplication by a whole number, such as 3 × 4 or 8 × 0.6, as repeated
addition. However, this concept does not work when neither of the factors is a whole number, as in
0.83 × 1.43 or 2/3 × 7/11. Instead, when you multiply decimals or fractions, think of it as finding
"a certain part of” the other factor. In this sense, the symbol “×” translates to “of.”
Example. 0.1 × 80 means finding one-tenth “of” 80. That is simply 8.
Example. 0.4 × 80 means finding four-tenths “of” 80. Since one-tenth of 80 is 8, then 0.4 of 80 is four times as much, or 32.
Example. 0.02 × 3,000 means finding two-hundredths of 3,000. Since one-hundredth of 3,000 is 30, then 0.02 of 3,000 is two times as much, or 60
anyone can answered this question pls , I brainliest who answered I'll promise (Using Polygons) Math Subject Thank You!(:
Answer:
pentagon
Step-by-step explanation:
one mile equals approximately 1.6 kilogmeters approximately how many kilometers are in 4 miles
Answer:
6.4
Step-by-step explanation:
multiply
Answer:
6.43
Step-by-step explanation:
You are given:
1 mile = 1.6 kilometers
but you want 4 miles so you multiply both of them by 4 so...
1*4 = 1.6*4
That gives you ------> 4 miles = 6.4 kilometers
what is the square root of 36
Answer:
6
Step-by-step explanation:
Find the product. Type your answer in the provided space. Do not use spaces in your answer. To demonstrate an exponent, use the ^ key. For example, x2should be typed in as x^2.
3x3y · 5x2y
Answer:
15x²6y² .................
The product of the expression is [tex](3 x 5) x^5y^2[/tex]
We have,
(3x³y) (5x²y)
Now,
Finding the product of the expression.
We add up the exponents of the same base.
[tex]x^3x^2 = x^{3 + 2} = x^5\\yy = y^{1 + 1} = y^2[/tex]
And,
(3x³y) (5x²y)
[tex]= (3 x 5) x^5y^2[/tex]
Thus,
The product of the expression is [tex](3 x 5) x^5y^2[/tex]
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On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, negative 2), and point K is at (negative 2, negative 3).
HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.
(1,−1)
(1,1)
(1,0)
(0,1)
Answer:
The answer is C.[1,0]
Step-by-step explanation:
HIJK is a parallelogram because the midpoint of both diagonals is (1, 0), which means the diagonals bisect each other.
How to calculate the midpoint of two coordinates?The midpoint is the middle of a line projecting from one end to another.
Given the parallelogram HIJK with the coordinate points
H(-2,2), I(4,3), J (4, -2), and K (-2, -3)
The diagonals are HJ and IK.
Determine the midpoint
M(x, y) = [(-2+4)/2, (2-2)/2]
M(x, y) = (2/2, 0/2)
M(x, y) = (1, 0)
This shows that HIJK is a parallelogram because the midpoint of both diagonals is (1, 0), which means the diagonals bisect each other.
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Cylinder E has the following dimensions: h = 30 cm and r = 4 cm. Cylinder F has the same radius, but has a height of 5 cm . What is the total volume of the two cylinders? Show your work.
Answer:
1759.52cm^3
Step-by-step explanation:
Given data
Cylinder E
h = 30 cm and
r = 4 cm
The expression for the volume is
V= πr^2h
V= 3.142*4^2*30
V= 3.142*16*30
V=1508.16 cm^3
Cylinder F
h=5 cm
r = 4 cm
The expression for the volume is
V= πr^2h
V= 3.142*4^2*5
V= 3.142*16*5
V=251.36 cm^3
Hence the total volume is
=251.36+1508.16
= 1759.52cm^3