Answer:
Check Explanation
Step-by-step explanation:
The diagram for this question is missing, but from the setup of the question, it is evident that the triangle to obtain cos α from is a right angled triangle.
It is evident from the options provided that the right angled triangle is one with dimensions of 20, 21 and 29.
These three dimensions perfectly form a Pythagorean triple.
So, the value of cos α now depends on the setup of the triangle.
From trigonometric relations, if α is an angle in the right angled triangle, cos α is given mathematically as
Cos α = (Adj/Hyp)
For this Pythagorean triple,
Hyp = hypotenuse side = 29
Adj = Adjacent side = 20 or 21, depending on the triangle's setup.
If the adjacent is 20,
Cos α = (20/29), option A is correct.
If the adjacent is 21,
Cos α = (21/29), option C is correct.
Hope this Helps!!!
I am thinking of two unique whole numbers
Their sum is 12
The larger number is even
Twice the smaller number less than the larger number equals 6
Answer:
10 and 2
Step-by-step explanation:
10+2=12
10 is even
2*2=4 10-4+6
Hope this helps ! :)
what is the fraction, 64/388 simplified?
Answer:
the answer is 16/97
The base of a rectangular prism has an area of 12 square centimeters. The height of the rectangular prism is 3
centimeters.
What is the volume, in cubic centimeters, of this rectangular prism?
Answer:
36
Step-by-step explanation:
12x3=36
Lxwxh
Axh
Answer:
18,6,108
Step-by-step explanation:
edge2020
PLEASE HELP!! WILL GIVE BRAINLIEST IF RIGHT
An account earns annual simple interest, Find the interest earned, principal, interest rate, or time.
Interest earned: ?
Principal: $1250
Interest rate: 3%
Time: 4 years
Answer:
:
I think I know how to solve this. You are trying to find the interest earned.
Step-by-step explanation:
you take the interest rate and convert into a percentage. 3%=0.03You divide that decimal by 100. 0.03/100=0.003Take this number and multiply by the time. 0.0003x4=0.0012You then finally multiply that number by the principle and you have your answer. 0.0012x1250=1.5 percentAnswer:
t says or, so you can answer any however the answer to time would be 4 years or so
Step-by-step explanation:
10x5 = 50
50x50 = 2500
2500x.4= 1000
1000/250=4
4
Step-by-step explanation:
What is the range 0 -9 -9 -6 -4 -7 -5 -3
Answer:
9
Step-by-step explanation:
put in order least to greatest
-9 -9 -7 -6 -5 -4 -3 0
9-0=9
range cannot be negative because it is the space between numbers and distance cannot be negative
Answer: The range is 9.
Directions: Solve each volume problem using the information given. Use 3.14 for pi and label your answer with the appropriate units.
1.) The school cheer leading team uses megaphones in their routines. Each megaphone is a cone. The radius of the megaphone is 5.1 inches and the height of the megaphone is 19.3 inches. What is the volume of the megaphone?
2.) You and your friends buy ice cream cones at the local ice cream shop. The radius of the ice cream cone is 44 millimeters and the volume of the ice cream cone is 356,456.2136 cubic millimeters. What is the height of the ice cream cone?
Answer:
A. 525.42 inches^3
B. 175.91 mm
Step-by-step explanation:
a. Here we are asked to calculate the volume of the cone given the radius and the height of the cone.
Mathematically, the volume of the cone can be calculated using the formula below;
V = 1/3 * π * r^2 * h
where r is the radius which is 5.1 inches and h is the height of the megaphone = 19.3 inches
Plugging these values, we have;
V = 1/3 * 3.14 * 5.1^2 * 19.3 = 525.42 inches^3
b. Here we are tasked with calculating the height given the value of the volume and the radius.
mathematically, the formula to use is
V = 1/3 * π * r^2 * h
where V = 356,456.2136 cubic millimeter and r is 44mm
plugging these values we have
356,456.2136 = 1/3 * 3.14 * 44^2 * h
h =( 1,069,368.6408)/6,079.04
h = 175.91 mm
Give the sum of 1/2 and 8/12 in simplest form
Answer:
7/6
Step-by-step explanation:
sum of 1/2 & 8/12 = 1/2 + 8/12
= 7/6
hope this help you !! ;))))If you spend $448.37 on a car each month, what is your new subtotal of take-home pay after expenses?
Answer:
$629.75
Step-by-step explanation:
2,939.12 (Monthly net pay) - 1379 (Mortgage) - 302 (Food) - 448.37 (Car) - 230 (Gas) = 629.75 (Subtotal)
The solutions of a quadratic equation are 5 and -1. What is the factored form of a related quadratic function?
Answer:
f(x)=(x+1)(x-5)
Step-by-step explanation:
The solutions to a quadratic equation are going to be your x-intercepts, or when y is equal to zero. For y to be zero, all you have to do is have one value equal to zero. When x is 5, (x-5) is equal to zero. When x is -1, (x+1) is equal to zero. This is one example of what your quadratic equation could be.
can you please help me fill this out thanks
Answer:
30 mm
Step-by-step explanation:
There are 4 sides to this parallelogram. Two of the sides have 3 mm as the length and the other two have 12 mm.
2 (3 mm) + 2 (12 mm)
= 6 mm + 24 mm
= 30 mm
Answer:
30
Step-by-step explanation:
Since the long side that is blank is the same length of 12 and the short side is the same length of 3.
12+12=24
3+3=6
24+6=30
A restaurant manager wants to know which dish is most popular in his restaurant. Who should the manager survey to best find out what he wants to know? A. employees of the restaurant B. people who eat at his restaurant C. people who eat out at least once a week D. members of his family
Answer:
B. People who eat there are likely to return and suggest what is good on the menu to friends and relatives.
can you please help me fill this out thanks
Answer:
i believe the perimeter is 36 im sorry if its not correct
Step-by-step explanation:
simple adding
Which number line shows the solutions to n<-3
Answer:
[In Picture]
Step-by-step explanation:
There are no given options.
However, I am able to recreate the best answer for the question given.
There would be arrow going to the left from -3. The arrow will include all numbers less than -3.
Since there is a less than sign, the circle at the beginning of the arrow is open.
Choose the option that closely matches the line shown.
The number line is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
The number line of n < - 3 is n less than -3.
The graph of the number line is given below.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
n < - 3
This is read as,
n is less than -3.
The graph of the number line is given below.
Thus,
The number line of n < - 3 is n less than -3.
The graph of the number line is given below.
Learn more about number line here:
https://brainly.com/question/13425491
#SPJ5
How would I write out,10 times a number increased by four is no more than 25 as an inequality?
Answer:
10x + 4 [tex]\geq[/tex] 25
A cylindrical-shaped mug has a diameter of 8 centimeters and a height of 10 centimeters. What is the volume of the mug? Use 3.14 for pi. *
A. 1256 cubic centimeters
B. 502.4 cubic centimeters
C. 2512 cubic centimeters
D. 2009.6 cubic centimeters
Answer:
C. 2512
Step-by-step explanation:
First,you do
3.14 x 10 x 8
25 12 cubic centimeters
By using the formula for the volume of a cylinder, we will see that the volume of the mug is 502.4 cm^3
How to get the volume of the mug?For a cylinder of radius R and height H, the volume is:
V = pi*R^2*H
In this case, we know that H = 10cm, and the diameter is 8cm, then the radius is half of that:
R = 8cm/2 = 4cm
Replacing that in the volume equation we get:
V = 3.14*(4cm)^2*10cm = 502.4 cm^3
So the correct option is B.
If you want to learn more about volume, you can read:
https://brainly.com/question/1972490
Bruno is sewing a large rectangular tablecloth for a restaurant. He has 30 square feet of fabric and the length of the table cloth needs to be 7.5 feet. What is the width of the tablecloth if he uses all of the fabric?
Answer:
Step-by-step explanation:
4 ft
Answer:
Step-by-step explanation:
4 ft
brainliest pls i need it :,)
evaluate the following function is f(x)=3x-2 and g(x)=5x+1 what is -2•f(4)+3•g(1)
Answer:
work is shown and pictured
Which binomial is a factor of 9x2 – 64?
Answer:
Factor:
9x2 – 64
=(3x+8)(3x−8)
3x – 8
what times 8 equals 2
2=x8
x=?
Please help! :0
Answer:
1/4 or .25
Step-by-step explanation:
8x =2
Divide by 8 on both sides
8x=2
__. ___
8. 8
x = 2/8=1/4 or .25
Answer: x equals 1/4 or 25% or 0.25
Help me please !!!!!
Answer:
C =119.32
A =1133.54
Step-by-step explanation:
UR is the radius = 19
Let pi = 3.14
The circumference is
C = 2*pi*r
C = 2 * 3.14 * 19
C =119.32
The area is given by
A = pi r^2
A = 3.14 * (19)^2
A =1133.54
Which ratio is equivalent to 7:3 =
Answer:
i think 14:6 is correct but im not too sure
Answer:
[tex]\frac{7}{3}=\frac{7n}{3n}[/tex]
n ∈ Z
[tex]\frac{7*(-5)}{3*(-5)}=\frac{7*(-2)}{3*(-2)}=...=\frac{7*8}{3*8}=...=\frac{7*1256}{3*1256}...etc[/tex]
Write an equation for the following:
A number increased by 6 is 22.
Solve your equation (show steps) to find the number.
Answer:
16
Step-by-step explanation:
Graph x^3 + 3x^2 − x − 3 = 0. What are the solutions to the equation?
x = −3, x = 0, and x = 1
x = −3, x = −1, and x = 0
x = −3, x = −1, and x = 1
x = −1, x = 1, and x = 3
Answer:
x = −1, x = 1, and x = - 3
Step-by-step explanation:
hello :
if : x=1 1^3 + 3×1^2 − 1 − 3 =1+3-1-3 =4-4=0......true
if : x=-1 (-1)^3 + 3×(-1)^2 +1− 3 =-1+3.+1-3.=0...true
if : x=3 (-3)^3 + 3×(-3)^2 + 3 − 3 =-27+27+3-3.=0.....true
AEFG - ALMN. Find LM.
Answer:
The solution is 2.5. The problem can be solved using the proportion:
2
4
=
x
5
Step-by-step explanation:
I hope it makes since =)
In a survey of students, 1162 stated they cheated and 2468 stated they did not. If one student is randomly selected what is the probability that they cheated
Answer:
[tex] n = 1162 +2468 =3630[/tex]
And the probability that they cheated and we can use the classical definition of probability given by:
[tex] p =\frac{successes}{Total}[/tex]
And replacing we got:
[tex] p=\frac{1162}{3630}= 0.320[/tex]
So then the probability of people cheated is 0.320 or 32% approximately
Step-by-step explanation:
For this problem we know that in a survey of students, 1162 stated they cheated and 2468 stated they did not.
The total of people is given by:
[tex] n = 1162 +2468 =3630[/tex]
And the probability that they cheated and we can use the classical definition of probability given by:
[tex] p =\frac{successes}{Total}[/tex]
And replacing we got:
[tex] p=\frac{1162}{3630}= 0.320[/tex]
So then the probability of people cheated is 0.320 or 32% approximately
What’s the value of x?
Answer:
19
Step-by-step explanation:
In any triangle, the sum of the measures of the angles is 180 degrees.
(5x + 5) + (x + 16) + (2x + 7) = 180
Combine like terms.
8x + 28 = 180
8x = 152
x = 19
What is the slope of the line?
Answer:
It is the change in y for a unit change in x along the line.
The sum of an 84-number series is –7,980. What is the sum of the first and last numbers?
Answer:
- 190
Step-by-step explanation:
Since the sum of 84 number series is -7980. We have to find the sum of first and last numbers. Since sum of an arithmetic sequence is represented as. S =. (First + last) =. So the total of first and last term is (-190). Option B. -190 is the correct option.
Answer:
B) -190
Step-by-step explanation:
Trust
how do I do this math question? Full working/explanation.
Answer:
50g sugar, 100g butter and 400g flour
Step-by-step explanation:
You need to find the ingredient that is the limiting factor, in this case it is flour, because you relatively need the most of that.
If all 400g flour is used, you need 4 times less grams of butter, since the ratio between butter and flour is 2 : 8 and they differ by a factor of 4.
That gets you 400/4 = 100g butter, so in fact you're not using 200g of the remaining butter.
Likewise, you'll need 400 / 8 grams of sugar, which is only 50g.
So at least one of the ingredients you'll completely use, the other ones you need less according to the ratio.
the weather report stated there is a 2/3 chance of rain Wednesday, but is more likely to rain on thursday than on Wednesday.
What is the probability of rain on Thursday?
Answer:
Any number over 66%, but less than (or equal to) 100%
Step-by-step explanation:
The probability of rain on wednesday is 66.6666% and if it is more likely to rain on thursday, thursday would have to be any number over 66.666%. The probability also has to stay below or equal to 100%.
