Answer:
$4.50
Step-by-step explanation:
Cuz 30-12 is $18 and 18÷4=4.50
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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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:
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
7 wholes times 1 3/8
Explain and correct the error in the example above
Answer:
C = 28.26 cm
Step-by-step explanation:
The figure shows a circle of diameter 9 inches.
The person has taken radius r as 9 inches which is wrong.
The radius must be (9/2) = 4.5 inches, such that,
Circumference = 2πr
= 2×3.14×4.5
= 28.26 cm
Hence, this is the required solution.
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:
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) 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....
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
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
Mariah went to the store to buy a coat. The coat originally cost $120.00. Mariah used a coupon
that saves her 20%.
d Marinho hy using the counon?
Answer: $24
Step-by-step explanation:
Mariano saved $24because
120 x 0.2=24
She payed $96
Answer:
$24 dollars i believe
Step-by-step explanation:
hope it helps
16=b-3 what is the answer
Answer:
19 is the answer .......explanation is in image.
Which term describes the right of a lender to sell collateral to get back the principal if the borrower cannot repay the loan?
Answer:
Lien.
Step-by-step explanation:
A loan can be defined as an amount of money that is being borrowed from a lender and it is expected to be paid back at an agreed date with interest.
Generally, the financial institution such as a bank lending out the sum of money usually requires that borrower provides a collateral which would be taken over in the event that the borrower defaults (fails) in the repayment of the loan.
Lien is a term which describes the right of a lender to sell collateral to get back the principal if the borrower cannot repay the loan. In order to be able to determine whether a borrower would default on the repayment of a loan, lenders usually check the credit score of the borrower.
A credit score can be defined as a numerical expression between 300 - 850 that represents an individual's financial history and credit worthiness. Therefore, a credit score determines the ability of a borrower to obtain a loan from a lender.
This ultimately implies that, the higher your credit score, the higher and better it is to obtain a loan from a potential lender. A credit score ranging from 670 to 739 is considered to be a good credit score while a credit score of 740 to 799 is better and a credit score of 800 to 850 is considered to be excellent.
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
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 :)
PLEASEEEEEEEEE HELPPPPPP
x2−8x+3=−2
Find the roots of the polynomial.
In order to get ANY credit, You must show your work and your steps as best as possible with typing. you can type Sqrt for √
Reduce the answer as much as possible. Take your time.
Answer:
7.31 and 0.685
Step-by-step explanation:
x^2 -8x +5 = 0
use the quadratic formula
- (-8) + √(-8^2 -4(1)(5) / 2(1(
(8 + √(64 -20))/2
(8+√44)/2
8+6.63 / 2
14.63/2= 7.31
+7.31
(8- √44)/2 = 0.685
what is the value for θ: sin (θ+20) = cos θ
Answer:
Step-by-step explanation:
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.
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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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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Liz flips a coin 40 times. The coin lands heads up 12 times and tails up 28 times. Complete each statement. The theoretical probability of the coin landing heads up is nothing %. (Type an integer or a decimal.) Based on Liz's results, the experimental probability of the coin landing heads up is nothing %. (Type an integer or a decimal.) The theoretical probability is ▼ less greater than the experimental probability in this experiment.
Answer:
so you takeway 40 by 28 you get 12+12=24%
Answer:
i got
50 %
30%
greater
Step-by-step explanation:
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
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.
Find the volume of the following figure with the given dimension
Answer:
624inches squared.
Step-by-step explanation:
13×8×6=624
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
...........
...........
aa,sss,sas
write similarity statement
Answer:
SAS and not similar
Step-by-step explanation:
For the first one, the two triangles are similar (SAS) because the ratio of the two sides is the same (3:5) and the angle in between them is the same.
For the second one, the two triangles are not similar because if we look at the lengths of the sides which is the only information we have of them, we can see that their ratios are not the same.
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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what is the square root of 36
Answer:
6
Step-by-step explanation:
A quadratic equation is shown. (x + 6)(x + 2) = x
A. x = −3, −4
B. x= -6, -2
C. x = 3, 4
D. x = 6, 2
Answer:
Option : A
Step-by-step explanation:
Hope it helps you!
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: