In ΔIJK, the measure of ∠K=90°, KJ = 77, IK = 36, and JI = 85. What ratio represents the cosine of ∠I?
Answers
We have been given that in ΔIJK, the measure of ∠K=90°, KJ = 77, IK = 36, and JI = 85. We are asked to find the ratio that represents the cosine of angle I.
First of all, we will draw a right triangle as shown in the attachment.
We know that cosine relates adjacent side of right triangle with hypotenuse.
[tex]\text{cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}[/tex]
We can see that adjacent side to angle I is IK and hypotenuse is IJ.
[tex]\text{cos}(\angle I)=\frac{IK}{IJ}[/tex]
[tex]\text{cos}(\angle I)=\frac{36}{85}[/tex]
Therefore, the ratio of cosine of angle I is [tex]\frac{36}{85}[/tex].
Answer:
the ratio of cosine of angle I is 36/85.
Step-by-step explanation:
Related Questions
What is the range of f(x) = 3x + 9?
O {yly<9}
O xyly> 9}
O {yly> 3}
o {yly<3}
Answers
The range of f(x) = 3x + 9 is: {y|All real numbers}
How to determine the range?The equation of the function is given as:
f(x) = 3x + 9
The above function is a linear function, and the range of a linear function is the set of all real numbers
Hence, the range of f(x) = 3x + 9 is: {y|All real numbers}
Read more about range at:
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answer these questions and i’ll give 20 points and brainliest answer!!
Answers
Answer:
3. 1/2 4. 13/20
Step-by-step explanation:
Those are the only one I know, sorry :/
What is the solution of the system of equations 2x - 5y = 11 and -2x + 3y = -9?
Answers
Answer:
x= 3, y= -1
Step-by-step explanation:
Let's solve your system by substitution.
2x−5y=11 and −2x+3y=−9
Solve x in 2x-5y=11
2x-5y=11 (add 5y to both sides)
2x = 5y + 11 (divide 2 by both sides)
x=5/2y + 11/2
substitute 5/2y+11/2 for x in -2x+3y=-9
-2x+3y=9
-2 (5/2y+11/2)+3y=-9
-2y-11=-9 (simplify both sides)
-2y-11=-9 (add 11 to both sides)
-2y=2 (divide both sides by -2)
y=-1
substitute your y (-1) in x = 5/2y + 11/2
x = 5/2y + 11/2
x=5/2(-1)+11/2
x=3
therefore, y= -1 and x = 3
Twenty eight slips of paper are numbered 1 through 28 and are distributed among a group of people. A random number generator is used to select a single number between 1 and 28, inclusively
A fair decision is made using this process
How many people could be in this group?
A. 3
B. 6
C. 7
D. 12
Answers
Answer:
Option C is the correct answer.
Step-by-step explanation:
Since a random number generator is used to select a single number between 1 and 28, inclusively;
For a fair decision to be made during the process, the number of persons in the set must be a divisor of 28.
Let's list the divisors of 28:
The divisors of 28 are {1, 2, 4, 7, 14, 28}
The only option that contains one of the divisors is option C which is 7.
Which cylinders have the same volume as the cylinder below? Check all that apply. A cylinder with height of 32 meters and diameter of 20 meters.
A cylinder with height of 16 meters and diameter of 40 meters.
A cylinder with height of 64 centimeters and diameter of 5 meters.
A cylinder with height of 8 meters and diameter of 40 meters.
A cylinder with height of 64 centimeters and diameter of 10 meters.
A cylinder with height of 20 meters and diameter of 32 meters.
A cylinder with height of 128 meters and diameter of 10 meters.
Answers
Upon calculating the volume of the given cylinder and comparing it with each option, it is determined that none of the provided cylinders have the same volume as the cylinder with a height of 32 meters and a diameter of 20 meters.
Explanation:The question is asking which cylinders have the same volume as a cylinder with a height of 32 meters and a diameter of 20 meters. To find this out, we first calculate the volume of the given cylinder. The formula for the volume of a cylinder is[tex]V = \(\pi r^2h\)[/tex], where V is the volume, [tex]\(r\) i[/tex]s the radius of the base, and h is the height of the cylinder. In this case, the radius (half of the diameter) is 10 meters, so the volume is:
[tex]V = \(\pi (10)^2 \times 32\) = 320\(\pi\) cubic meters.[/tex]
Now, let's check each option:
A cylinder with height of 16 meters and diameter of 40 meters has a volume of 16[tex]\(\pi (20)^2\) = 6400\(\pi\)[/tex] cubic meters, which is not equal.A cylinder with height of 64 centimeters and diameter of 5 meters is not comparable without conversion and does not match.A cylinder with height of 8 meters and diameter of 40 meters has a volume of[tex]8\(\pi (20)^2\) = 3200\(\pi\)[/tex]cubic meters, which is not equal.A cylinder with height of 64 centimeters and diameter of 10 meters is not comparable without conversion and does not match.A cylinder with height of 20 meters and diameter of 32 meters has a volume of [tex]20\(\pi (16)^2\) = 5120\(\pi\)[/tex]cubic meters, which is not equal.A cylinder with height of 128 meters and diameter of 10 meters has a volume of [tex]128\(\pi (5)^2\) = 3200\(\pi\)[/tex] cubic meters, which is not equal.Therefore, none of the provided options have the same volume as the given cylinder.
The cylinders with heights and diameters of 16 meters and 40 meters, and 128 meters and 10 meters, respectively, have the same volume as the given cylinder.
To find cylinders with the same volume as the given cylinder (height = 32m, diameter = 20m), we calculate its volume and compare it with the volumes of the listed cylinders. Cylinders with heights and diameters of 16 meters and 40 meters, and 128 meters and 10 meters, have the same volume as the given cylinder.
The question involves finding which cylinders have the same volume as a cylinder with a height of 32 meters and a diameter of 20 meters. To solve this, we first calculate the volume of the given cylinder using the formula for the volume of a cylinder, V = πr²h, where r is the radius (half of the diameter) and h is the height.
The volume of the given cylinder is V = π(10²)(32) = 320π cubic meters. We then apply the same formula to each of the listed cylinders, converting dimensions to the same units where necessary, to identify which ones have the same volume.
A cylinder with height of 16 meters and diameter of 40 meters has a volume of 320π cubic meters, which matches.A cylinder with height of 8 meters and diameter of 40 meters does not match because its volume is 160π cubic meters.A cylinder with height of 128 meters and diameter of 10 meters also has a volume of 320π cubic meters, which matches.Therefore, the cylinders with heights and diameters of 16 meters and 40 meters, and 128 meters and 10 meters, respectively, have the same volume as the given cylinder.
Solve the system of equations.
3x + 4y = -23
x = 3y + 1
y =
X=
Answers
Answer:
(-5, -2)
Step-by-step explanation:
3x+4y=-23
x=3y+1
since we have what x is, we need to subsitute
3( 3y+1) + 4y= -23
no we need to multiply the number inside the parenthesis by 3
9y + 3 + 4y= -23
combine like terms ( add the numbers or variables that look alike)
9y+4y is 13y
13y+3= -23
since we need to get the y alone we need to subtract 3 on both sides since its the opposite of adding
13y+3-3=-23-3
13y= -26
now we divide 13 on both sides to get Y alone
13y/13= -26/13
y= -2
now since we have y we need to substitute it to find x
x= 3y+1
x= 3( -2) +1
now we mutliply 3 with -2
x= -6 +1
x=-5
those are ur answers
y= -2
x= -5
hope this helped:D
Answer:
x = -5
y = -2
Step-by-step explanation:
PLS ANSWER!!!!!! I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!!
If you know the area and the base of a triangle, how can you find the height? Use the drop‐down menus to explain your answer.
Answers
Answer:
area = base × height
substitute the value for the area and base and solve.
height = area ÷ base
Which expression is equivalent to 75x – 25x.
Answers
Answer:
C) 50x
D) x(75 - 25)
Explanation:
Use distribution to simplify:
x · 75 = 75x
x . 25 = 25x
75x - 25x
75x - 25x = 50x
Answer:
C and D
Step-by-step explanation:
75x - 25x
75 - 25 = 50
Write in terms of x
50x
Find the options that match this answer
a: 50 (not always equal to 50x)
b: 100 (not always equal to 50x)
c: 50x (always equal to 50x)
d: x ( 75 - 25 ) = x ( 50) = 50x (always equal to 50x)
C and D are equivalent to the answer, 50x
Hope this helps :)
please help!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
Which of these is the best definition of an ellipse?
A. The set of all points in a plane that are a certain distance from a
single point
B. The set of all points in a plane for which the difference between
the distances to two fixed points equals a certain constant
C. The set of all points in a plane for which the sum of the distances
to two fixed points equals a certain constant
D. The set of all points in a plane that are equidistant from a single
point and a line
Answers
Answer:
C. The set of all points in a plane for which the sum of the distances
to two fixed points equals a certain constant
C. The set of all points in a plane for which the sum of the distances
to two fixed points equals a certain constant is the best definition.
What is in an ellipse?An ellipse is a curve formed by a plane, that intersects a cone at an angle with respect to the base. It is a curve surrounded by two focal points. Ellipse is a locus of points, the sum of whose distances from two foci is constant.
What is an ellipse shape?An ellipse is a circle that has been stretched in one direction, to give it the shape of an ova
What is an ellipse example?An ellipse has an eccentricity less than one, and it represents the locus of points, the sum of whose distances from the two foci of the ellipse is a constant value. A simple example of the ellipse in our daily life is the shape of an egg in a two-dimensional form and the running tracking in a sports stadium.
In mathematics, an ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant. As such, it generalizes a circle, which is the special type of ellipse in which the two focal points are the same. The elongation of an ellipse is measured by its eccentricity
An ellipse has a simple algebraic solution for its area, but only approximations for its perimeter (also known as circumference), for which integration is required to obtain an exact solution.
what is the general formula of ellipse ?The standard equation for an ellipse, x 2 / a 2 + y2 / b 2 = 1, represents an ellipse centered at the origin and with axes lying along the coordinate axes. In general, an ellipse may be centered at any point, or have axes not parallel to the coordinate axes.
To learn more about Ellipse, refer
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How many natural numbers are there between 1 and v? Pls explain how you got that!
Answers
Answer:
you need to the prime number to get the sum for the distance between 1 and v.
Step-by-step explanation:
Natural numbers are what you use when you are counting one to one objects. You may be counting pennies or buttons or cookies.
If you want to find the numbers between the two you will need an expression to consolidate your question as an example 3r, 6y, 2by in order to find the Natural number between these three questions you need to use equations such as 3r*2by+6y therefore would be 6br + 2y.
A Prime number is a natural number of a particular kind . Any natural number is equal to 1 times itself.
50 POINTS!
The function h(x) = x2 + 6x + 7 represents a parabola.
Part A: Rewrite the function in vertex form by completing the square. Show your work.
Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know?
Part C: Determine the axis of symmetry for h(x).
Answers
Answer:
A. (x + 3)² - 2
B. (-3,-2); min
C. x = -3
Step-by-step explanation:
x² + 6x + 7
x² + 2(x)(3) + 3² - 3² + 7
x² + 2(x)(3) + 3² - 9 + 7
(x + 3)² - 2
Vertex: (-3 , -2)
It's a concave up, so minimum
Line of symmetry is x = h
x = -3
4x^2+16x-4=?
A. 2x(2x^2+8x-2)
B. 2(2x^2+8-2)
C. 4x(x^2+4x-1)
D. 4(x^2+4x-1)
Answers
Answer:
What was the most important thing you learned during AlcoholEdu?
Step-by-step explanation:
If c – 8 is an odd integer, which of the following could be the value of c?
Answers
Answer:
Since you didn't give me any choices I can tell you that c is ANY ODD NUMBER THAT EXISTS.
Step-by-step explanation:
im smart ツ
1) find x -------> 3x-8
2) find y -------> (7y+6)
3) find z -------->5z+9
PLEASE HELP ME!!
Answers
Answer: x=4
y=2
z=-11
Step-by-step explanation:
find like terms
Which of the following are like radicals? Check all of the boxes that apply
Answers
Answer:
A B D F
Step-by-step explanation:
just did it
The radius of the circle F is 19cm.
What is the length of it's diameter?
A) 9.5cm
B) 19cm
C) 21cm
D) 38cm
Answers
Answer:
38.(D)
Step-by-step explanation:
Diameter=2R
Which gives u 19+19= 38
Answer:
38
Step-by-step explanation:
A circle's diameter is 2x the radius. (2r=d)
2x19=38
Please rate thanks and mark brainliest ! hope this helps :)
The librarian was checking the thicknesses of several books and found that the average thickness of a book was 1.8 centimeters. She found this by averaging the thicknesses of five different books. Four of the thicknesses were 1.4 cm, 1.9 cm, 2.1 cm, and 2.4 cm. What was the thickness of the fifth book that she measured?
Answers
Answer:
1.2 cm
Step-by-step explanation:
1.8 * 5 = 9
9 - (1.4 + 1.9 + 2.1 + 2.4) = 1.2
1.2 + 1.4 + 1.9 + 2.1 + 2.4 = 9
9/5 = 1.8
Which graph represents the equation y = -1/2x - 3?
A)
B)
C)
D)
Answers
ILL GIVE BRAINLIEST IM ON A TIME CRUNCH PLEASE HELP!!!!! What is the solution to the system of equations below? y = negative three-fourths x + 3 and y = –12
(20, –12)
(12, –12)
(–6, –12)
(–12, 12)
Answers
Answer:
The system of equations as described:
y = (-3/4)x + 3
y = -12
Combining two equations, we have:
=> -12 = (-3/4)x + 3
=> -15 = (-3/4)x
=> x = -15 x (-4/3) = 20
=> Solution is (20, -12)
=> Option A is correct.
Hope this helps!
:)
Step By Step:
The equations given to us are:
y = (-3/4)x + 3
y = -12
Now that we have y we can change that to -12
-12 = (-3/4)x + 3
-15 = (-3/4)x
x = -15 x (-4/3) = 20
This would give us (20, -12)
Answer
A. (20,-12)Hope this helps
give brainliest if you please
A model containing 4 rows of 5 squares.
Which expressions represent this model?
Check all that apply.
4 + 5
4(5)
20
5(4)
5(5)
I'm sorry that I don't have a picture
Answers
Answer: 4(5) 20 5(4)
Step-by-step explanation: PERIOD
Answer:
B: 4(5)
C: 20
D: 5(4)
Mark brainliest pls
Step-by-step explanation:
I got it correct on edge
Can anyone help me please
Answers
Answer:
7. 12*(2+2^3) 8. 7^2+(1-5)*3
Find the measure of angle U.
Answers
Answer:
Step-by-step explanation:
25+35=60
180-60=120
<U=120*
Find the area of the following rectangle.
length = 15 cm
width = 19.5 cm.
Area = ? cm2
34.5
69
146.25
292.5
Answers
Look at the attached picture ⤴
Hope it will help u....:)
The ratio of side lengths for two similar cubes is į.
Determine the ratios for each of the following. Show your work or explain how you got your answers.
a. the perimeter of one face of the smaller cube compared to the perimeter of one face of the larger
cube
b. the total surface area of the smaller cube compared to the total surface area of the larger cube
c. the volume of the smaller cube compared to the volume of the larger cube
Answers
The ratio of the perimeter of one face for the two cubes is 1/2, the ratio for the total surface area is 1/4, and the ratio for the volume is 1/8.
Explanation:The student wants to find the ratios of the perimeter of one face, the total surface area, and the volume of two similar cubes having side length ratio of 1/2.
Perimeter of one face: Since each face of a cube is a square, the perimeter is 4 times the side length. As the ratio of side lengths is 1/2, the ratio of the perimeters would also be 1/2. This is because perimeter is a one-dimensional measure, therefore the ratio stays proportional to the side length.Total Surface Area: The total surface area of a cube is 6 times the area of one face (a square). Since the area is a two-dimensional measure, it's proportional to the square of the side length ratio, hence the ratio of the surface areas of two similar cubes would be (1/2)² = 1/4.Volume: The volume of a cube is the cube of the side length. Since the volume is a three-dimensional measure, it is proportional to the cube of the side length ratio, so the ratio of the volumes of two similar cubes would be (1/2)³ = 1/8.Learn more about Ratio of Similar Cubes here:
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Can anyone help me ASAP please!!!
Answers
The measure of a central angle is 3x + 18 and the measure of its arc is 147 which equation can you use to find the value of x
Answers
3x + 18 = 147
3x = 129
x = 43
Answer:
3x + 18 = 147
Step-by-step explanation:
The temperature in Chicago is dropping at a rate of 1 degree every 4 hours when it was 10 degrees outside. The temperature in Pittsburgh was increasing at a rate of 3 degrees every 4 hours when it was 2 degrees outside. How long will it take the two cities to reach the same temperature? What is the temperature at that time?
Answers
Answer:
Chicago after 8 hrs it dropped to 8 degrees and at pittsburgh after 8hrs passed it reached to 8degrees outside
so after 8hrs the cities reached the same temperature which is 8degrees
Step-by-step explanation:
10-1=9 then 9-1=8
1= each degree that dropped every 4 hours
A wave has a frequency of 1000 Hz and a wavelength of 0.33 m. What is the
speed of the wave? Use the equation v=fxa.
O
A. 330 m/s
O
B. 590 m/s
O
C. 0.017 m/s
O
D. 0.0030 m/s
SUBMIT
Answers
Answer: A. 330 m/s
Just took a test on it
Answer: A
Step-by-step explanation:
Harry bought a used dirt bike for $1,050. Before purchasing the bike, Harry had a total of
$2,250 in his savings account. What percentage of his savings account did Harry spend on
the dirt bike?
Answers
Answer:
. How to calculate percentage of a number. Use the percentage formula: P% * X = Y
Convert the problem to an equation using the percentage formula: P% * X = Y.
P is 10%, X is 150, so the equation is 10% * 150 = Y.
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.
Step-by-step explanation:
Final answer:
Harry spent 46.67% of his savings on the dirt bike, calculated by dividing the price of the dirt bike by the amount in his savings account and then multiplying by 100.
Explanation:
The question is asking how to calculate the percentage of Harry's savings that was spent on a dirt bike. To find the percentage, you would divide the amount spent on the dirt bike by the total amount in the savings account and then multiply by 100. Harry spent $1,050 on the dirt bike and had $2,250 in his savings account originally.
Here's the step-by-step calculation:
Divide the cost of the dirt bike by the total savings: $1,050 / $2,250.You get a decimal result from step one, which you then multiply by 100 to get a percentage.The calculation is ( $1,050 / $2,250 ) × 100 = 46.67%.Therefore, Harry spent approximately 46.67% of his savings on the dirt bike.