Answer:woah
Step-by-step explanation:
Evaluate without using a calculator by using ratios in a reference triangle.
cos 5pi/3
Answer:
The answer is 1 /2
Step-by-step explanation:
Cos, tan and sin are all positive in the first quadrant, but depends on the direction of the angle. Reference angle here we are looking for is the one in relation to the quadrant cos 5pi/3.
Any multiples of cos outside 2nd quadrant will give a positive value.
cos 5pi/3 is located in the 4th quadrant, while, cos pi/3 is located in the 1st quadrant, where the cos ratio has a positive value.
In terms of cosine, anytime the angle falls on the first or fourth quadrant it will always produce a positive graph.
For cos 5pi/3, cos pi/3 and cos 7pi/3 will give the same answer as "1/2" or "0.5" because, cos pi/3 will give 60 degrees which fall in the first quadrant
If "R" is a real number, for all R multiplied by pi/3, the new value gives an angle in the first or fourth quadrant, the angle will be 0.5
The exact value of cos 5 ( π /3 ) is 1 /2 .
A square pyramid has a base with a total area of 144 m2 and the volume of 384m3, what is the slant height of the pyramid
Answer:
8mStep-by-step explanation:
Volume of a square based pyramid is expressed as [tex]V = a^{2} \frac{h}{3}[/tex] where;
a is the base edge
a² is the base area
h is the slant height
Given Volume of the pyramid V = 384m³
Base area a² = 144m²
h =?
On substituting to get the slant height;
[tex]384 = 144*\frac{h}{3}\\ 1152 = 144h\\h = \frac{1152}{144} \\h = 8m[/tex]
The slant height of the pyramid is 8m
for which value of x is the row in the table of values incorrect? the function is the quadratic function y=-1/2x^2
A.)x = 0
B.)x = 3
C.) x = 2
D.)x = 5
Answer:
D. x = 5
Step-by-step explanation:
At x = 5
y = -½(5)²
y = -½ × 25 = -25/2 = -12½
Answer: x=5
Step-by-step explanation:
making a sandwich with ham, turkey, or roast beef; swiss or provolone cheese; and mustard or mayonnaise. how many outcomes are there A. 14 C. 16 B. 12 D. 19
The answer is 12
Ham, swiss, mustard
Ham, swiss, mayonnaise
Ham, provolone, mustard
Ham, provolone, mayonnaise
Turkey, swiss, mustard
Turkey, swiss, mayonnaise
Turkey, provolone, mustard
Turkey, provolone, mayonnaise
Roast beef, swiss, mustard
Roast beef, swiss, mayonnaise
Roast beef, provolone, mustard
Roast beef, provolone, mayonnaise
Evaluate 3a + b to the second power if a=2 and b=3
PS : can you help me with 1, 2 and 3 ?!
Answer:
1. 3
2. 3
3. 15
Step-by-step explanation:
How many times greater is the value of the 4 in 42,672 than the value of the 4 in
37,426?
Answer:
Step-by-step explanation:
Value of 4 in 42,672 = 40,000
Value of 4 in 37,426 = 400
40,000 ÷ 400 =100
Value of 4 in 42,672 is 100 times greater than value of 4 in 37,426
The probability that an egg on a production line is cracked is 0.01. Two eggs are selected at random from the production line. Find the probability that at least one egg is cracked. Write the entire decimal answer.
Answer:
[tex]P(X \geq 1)=1-P(X<1)= 1- P(X=0)[/tex]
[tex]P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801[/tex]
And replacing we got:
[tex] P(X \geq 1) = 1-0.9801 = 0.0199[/tex]
Step-by-step explanation:
Let X the random variable of interest "number of craked eggs", on this case we now that:
[tex]X \sim Binom(n=2, p=0.01)[/tex]
The probability mass function for the Binomial distribution is given as:
[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]
Where (nCx) means combinatory and it's given by this formula:
[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]
And we want to find this probability:
[tex]P(x \geq 1)=1-P(X<1)= 1- P(X=0)[/tex]
And we can find the probability:
[tex]P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801[/tex]
And replacing we got:
[tex] P(X \geq 1) = 1-0.9801 = 0.0199[/tex]
What is the probability of two dice landing on 4 If you already know the first die has
landed on 4
Answer:
1/6
Step-by-step explanation:
no matter what, the die always has the same probability of landing on one specific number.
Really hope this helps!!
stay safe :0)
The required probability of both dice landing on 4 is 1/6.
What is probability?The probability is defined as the possibility of an event is equal to the ratio of the number of favorable outcomes and the total number of outcomes.
If we already know that the first die has landed on 4, then the probability of the second die landing on 4 is the same as the probability of a single die landing on 4, which is 1/6.
This is because the two dice are independent of each other, and the outcome of the first die does not affect the outcome of the second die.
Therefore, the probability of two dice landing on 4 given that the first die has landed on 4 is 1/6 or approximately 0.1667.
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{1, 5, 10, 15} {1, 3, 5, 7} Which of the following shows the union of the sets?
Answer:
{1, 5}
Step-by-step explanation:
the union is all the values in both sets. The only shared numbers in these two sets are 1, and 5. therefore, the union of the sets is {1, 5}
Hope this helps have a great day! <3
also, pls mark brainliest!!
What is the equation of the following line written in general form
Answer:
y=-3/2x+-9/2
Step-by-step explanation:
If you compare the red triangle to the blue triangle are the figures similar, congruent, neither, or it is impossible to tell?
Answer:
Congruent
Step-by-step explanation:
Congruent figures are all figures that have the same number of sides, with the same length, and the angles between the sides have the same values.
Answer:
Congruent
Step-by-step explanation:
PLEASEEEEE ANSWERRRRRRR!!!!!!!!!!!!
What is the area of figure?
A trapezoid with short base eighteen centimeters, long base thirty-eight centimeters, height sixteen centimeters, and diagonal side lengths twenty centimeters.
A. 320 square centimeters
B. 608 square centimeters
C. 448 square centimeters
D. 560 square centimeters
Answer:
C. 448 square centimeters
Step-by-step explanation:
38+18/2(16)
=448 square centimeters
:3
for a special 16 sided die, what is the theoretical probability for rolling a number less than 9?
Answer:
8/16
Step-by-step explanation:
there are 16 sides on the dice and there is only 8 number that are less than 9 so that makes it 8/16:)
Answer: There is a 8/16 chance of getting a number under 9.
Explanation: There is a total of 16 sides on the die. If you look at the die numbers 1, 2, 3, 4, 5, 6, 7, and, 8 are all numbers under 9. Which explains how there are 8 sides. Meaning 8 numbers are 8 sides and 16 total numbers are 16 total sides. Therefore the answer is 8/16.
Circle O has a circumference of approximately 28.3 cm. What is the approximate
length of the radius?
Answer:
4.5 cm
Step-by-step explanation:
The circumference of a circle is given by
C = 2*pi*r where r is the radius
28.3 = 2 * (3.14) *r
28.3 = 6.28 r
Divide each side by 6.28
28.3/6.28 = r
4.506369427=r
The approximate length of the radius is 4.5 cm
What is the domain of the relation?
A)
{-4,- 2 1, 4}
B)
{-2, 1, 4}
C)
{-2, 1, 4, 4}
D)
(-4,-2), (-2,1), (1,4), (4,4)
Answer:
A
Step-by-step explanation:
The domain of a relation is all the x values in it. Therefore, since the only x values in this relation are -4, -2, 1, and 4 that is the answer.
hope this helps :)
The domain given in option A is correct.
The domain of a relation is the set of the first coordinates from the ordered pairs.
How to find the domain of the relation ?
The domain of a relation is all the x values in it.
since the only x values in this relation are -4, -2, 1, and 4 that is the answer.
Thus, the domain is {-4,-2,1,4}.
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Solve the following system of equations using any method you want.
y + 2x = 2
2x - 5y = 14 please help
Answer:
y = - 2, x = 2
Step-by-step explanation:
Remove x and solve for y
2x - 2x - 5y - y = 12
-6y = 12
y = - 2
Substitute y back into the equation
-2 + 2x = 2
2x = 4
x = 2
The area of Miguel’s rectangular garden is 450 square feet. The garden is 9 feet wide.
How many feet of fencing will Miguel need to buy to enclose the garden on all four sides?
Answer: 118 feet
Step-by-step explanation:
For a rectangular shape: Area = W × L
450 = 9 × L
450 ÷ 9
L = 50
Perimeter of a rectangular shape = 2L + 2W
Perimeter = (2 × 50) + (2 × 9)
= 100 + 18 = 118 feet
5. 105 is how many times as large as 1 · 10?
HOW COULD YOU USE A GRAPH TO SHOW WHETHER THE DATA ARE IN A PROPORTIONAL RELATIONSHIP
Answer:
If the graphs are parallel they are porportional
Step-by-step explanation:
Answer:
The best way to show and explain direct proportional relationships is by graphing two sets of related quantities. If the relation is proportional, the graph will form a straight line that passes through the origin.
Step-by-step explanation:
Please mark me most brainly... :)
help plz will mark brainliest :)
Answer:
c
Step-by-step explanation:
subtract b from both sides
divide by x
Solve by completing the square:
x2 + 3x – 9 = 0
Answer:
Step-by-step explanation:
x = 9/5
The solution of the equation [tex]x^2 + 3x - 9 = 0[/tex] by completing the square would be [tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex].
Used the concept of a quadratic equation that states,
An algebraic equation with the second degree of the variable is called a Quadratic equation.
Given that the equation is,
[tex]x^2 + 3x - 9 = 0[/tex]
Now completing the square as
[tex]x^2 + 3x - 9 = 0[/tex]
Add and subtract by 9/4,
[tex]x^2 + 3x + \dfrac{9}{4} - \dfrac{9}{4} - 9 = 0[/tex]
[tex]x^2 + 3x + ( \dfrac{3}{2})^2 - \dfrac{9}{4} - 9 = 0[/tex]
[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{9}{4}+ 9) = 0[/tex]
[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{45}{4}) = 0[/tex]
[tex](x + \dfrac{3}{2} )^2 = ( \dfrac{45}{4})[/tex]
Taking square root on both sides,
[tex](x + \dfrac{3}{2} ) = \pm ( \dfrac{\sqrt{45}}{2})[/tex]
Therefore, the solution of an equation is,
[tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex]
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WILL MARK BRAINLIEST PLS HELP!!! A sphere and a cylinder have the same radius and height. The volume of the cylinder is 50ft . What is the volume of the sphere? A 50/3 B 100/3 C 75 D 100
Answer:
i think its a
Step-by-step explanation:
What is this expression in simplified form (6√2)(−3√5)??
Answer:
-18√10
Step-by-step explanation:
You use the rule √a·b = √a·√b:
(6√2)(−3√5) = 6·-3√2√5 = -18√(2·5) = -18√10
abc2 at a = 4, b = 1/4, c = 5
x + y + z/3 at x = 1, y = 3, z = 5
(p + q)2 at p = 8, q = –5
Look at the attached picture
Hope it will be helpful to you...
Two cars are doing a race around a 20-km track. They start from the same place at the same time. The speed of first car is 60 km/h, speed of second car is 80 km/h. How long will it take second car to lap the first car?
Answer:
20 km less than the first car
Step-by-step explanation:
How to do the problem and what the answer is this thing is due today(30 points!)
Answer:
40°
Step-by-step explanation:
complementary angels makes the sum of two angles = 90°
so
<ABC + < CBD = 90°
if <ABC = 50°
then 90° - 50° = 40°
You walk from home to school. You graph the relationship between time, x, and distance from home, y. Which best describes the graph of your walk from home to school?
A. The graph will slope up and to the left
B. The graph will slope up and to the right
C. The graph will start at the origin and go up to the left
D. The graph will start at the origin and go up to the right
Answer:
The graph will start at the origin and slope up and to the right.
Using graph, the relationship between time x, and distance from home, y can be shown. The graph will start at the origin and go up to the right the best option is D.
What is graph?A graph is "diagrammatic or pictorial representations of collections of data in a organized manner".
According to the question,
The horizontal line or x-axis of the graph represents time taken during walk and the vertical line or y-axis of the graph represents distance traveled with respect to time.
Since walking start at home is taken as origin in the graph and reaching to school is noted in go up to the right of the graph.
Hence, using graph, the relationship between time x, and distance from home, y can be shown. The graph will start at the origin and go up to the right the best option is D.
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This graph displays a linear function. Interpret the constant rate of change of the relationship.
Rate of change =
Answer: -3/-1 or 3/1 is the rate of change
Step-by-step explanation:
(0,2)
(3,3) 0-3==-3
2-3= -1
-3/-1
Answer:
The rate of change ( or slope) is 3.
Step-by-step explanation:
The formula for slope is y2-x2 over y1-x1. Easier terms: subtract two points from eachother, y being the numerator and x being denominator. Two points on this graph are (2,0) and (3,3). When you put y on top, you get 0/2-3/3. The answer is -3/-1, which is equal to 3
A much easier way when you're graph looks like this, is to count the units up/down and right/left, putting the up/down number on top. Since it goes 3 up and 1 right, you get 3/1, or 3.
Please help don’t get it
Answer:
not sure but I think it goes something like this
1. 10+10+10=30
2. 1+1+10=12
3. 1+1+3=5
4. 3•2+10=16
Step-by-step explanation:
why 3•2? because there is only one taco so 3 and there are two carrots (each carrot =1, each taco = 3) so 2.
A prediction for the volume at 105 seconds is 497 cm3.
Is this a reasonable prediction?
No, there is no recognizable pattern in the data
from which to make a prediction.
Yes, the first differences are all around -70, so a
linear function is a good model. Subtracting 70 from
567 results in 497 cm3.
No, the first differences are 15, so a linear function
is a good model. Subtracting 15 from 567 results in
552 cm3
Yes, the average rate of change is about 8.
Answer:
Step-by-step explanation:
Answer:
answer: B
Step-by-step explanation:
