Step-by-step explanation:
4(sin⁴ 60° + cos⁴ 60°) = 1 + 3(sin²60° - Cos² 60°)
sin 60°=[tex]\frac{\sqrt{3} }{2}[/tex]
Cos 60°= [tex]\frac{1}{2}[/tex]
[tex]4(( \frac{\sqrt{3} }{2}) ^{4} +(\frac{1}{2}) ^{4} )=1+3(( \frac{\sqrt{3} }{2}) ^{2} +(\frac{1}{2}) ^{2} )[/tex]
then do it by the calculator and they will be equal 2.5
I hope it will help
For Spring Break, Jenny and her friends are planning a road trip from Houston, Texas, to Los Angeles, California. With almost all of the trip on Interstate 10, the total distance will be 1,740 miles one-way. If they average 70 miles per hour on the trip, to the nearest half hour, how long will it take Jenny and her friends to get there?
Answer: 24.9 hours
Step-by-step explanation:
They are travelling a total distance of 1,740 miles at a speed of 70 miles per hour. Assuming they do not rest, they will take:
Time = Distance/ Speed
= 1,740/70
= 24.9 hours
Teri begins walking east at 2 miles per hour at 1:00 pm. If cindy leaves from the same point 30 minutes later walking east at 3 miles per hour, when will she catch teri
Answer:
One hour after starting
Step-by-step explanation:
Let Teri walk at a rate of 2 miles per hour in time , t + 0.5, since it is 30 minutes ahead and 30 minutes = 0.5 hours, the distance he moves is d = 2(t + 0.5). Also, since Cindy moves at a rate of 3 miles per hour, and starts at time t, the distance d' she moves is d' = 3t.
Now, when they catch each other, the distance moved is the same.
So, d = d'
2(t + 0.5) = 3t
expanding the brackets, we have
2t + 2 × 0.5 = 3t
2t + 1 = 3t
collecting like terms, we have
3t - 2t = 1
simplifying, we have
t = 1
So, Cindy will catch Teri one hour after starting.
I NEED HELPPP PLEASE!!
A landscaper has two fields to seed. The first field requires 122
tons of seed and the second one will need
104
tons. How much
seed will the landscaper need altogether?
Answer:
226 tons of seed......
Hannah completed 1/2 an hour she had to complete 4 math problems she spent and equal amount on each problem how much of and hour did Hannah spend on each problem
Answer: 1/8 hours or 7.5 minutes
Step-by-step explanation:
Since Hannah spent 1/2 an hour to complete 4 math problems. We are further told that she spent an equal amount of time on each problem.
The amount of time spent on each problem will be:
= 1/2 ÷ 4
= 1/2 × 1/4
= 1/8 hours
Since 60 minutes = 1 hour
1/8 hours = 1/8 × 60 = 7.5 minutes each.
What percentage of all students prefer hot dogs?
2.5%
27.5%
30%
45.5%
55%
Mountain climber Joe climbed to a mountain peak that was1200 feet above its base and 1500 feet east of its base. Mountain climber Bob climbed to a mountain peak that was 900 feet above its base and 1000 feet east of its base.
Who climbed a steeper mountain? Explain.
I wanna say it's Joe but I also feel like I'm wrong, and I have no idea how to explain my answer lol.
9514 1404 393
Answer:
Bob
Step-by-step explanation:
The "steepness," or slope, of the mountain is the ratio of height to horizontal distance to the base:
Joe's mountain slope = 1200/1500 = 0.8
Bob's mountain slope = 900/1000 = 0.9
Bob's mountain has a greater slope than Joe's. Bob climbed the steeper mountain.
If you can help that would be great!!!!
Answer:
1 and four
Step-by-step explanation:
Answer:
1 and 4
Step-by-step explanation:
A vertical angle is one of two opposite and equal angles formed by the intersection of two lines.
1 and 4
2 and 3
5 and 8
6 and 7
are all answers
4t - 12 + 3 - 5t
Please help
Answer:
-t-9
Step-by-step explanation:
=-5t+4t-12+3
=-t-9
A contractor can spend at most $250 a day on operating costs and payroll. It costs $45 each day to operate the forklift and $60 a day for each crew member. Write an inequality to represent the contractor's budget for the day.
Answer:
Step-by-step explanation:
The answer is B. His budget is $250 so it has to be less than or equal to. $60 a crew member (x = the crew members) and $45 to use the forklift, so $60x + $45 is less than or equal to $250
Answer:
B is the correct answer.
Step-by-step explanation:
According to the problem, the contractor can spend AT MOST $250 a day, meaning $250 is the limit. Therefore, that gives you less than or equal too, or ≤. Next, it costs $45 a day, including $60, which you would add to get the final amount, or +.
Therefore, 60x + 45 ≤ 250
true or false: The Coordinates (7,10) and (-7,10) belong to the fourth and second quadrants respectively
Answer:
i think that is false
Step-by-step explanation:
PLEASE HELP MEE I REALLY NEED HELP NOT TRYING TO BE ANNOYING BUT I NEED HELPP!!! Find the vertex of the graph of the quadratic function and determine whether it's an absolute maximum or an absolute minimum: y = x squared + 18x + 83.
options
A)
Vertex: (9,– 2); minimum
B)
Vertex: (9,–2); maximum
C)
Vertex: (–9,2); minimum
D)
Vertex: (–9,2); maximum
Answer:
try math wa y
Step-by-step explanation:
it will give u the answer to most questions the answer is c
The triangle pictured below represents a community garden, which is surrounded on
3 sides by a fence. Find the perimeter of the fence.
A)4
B)62
C)88
D)336
Answer:
I'm not able to do it but I can tell you how
Step-by-step explanation:
make the 10a-9 equal 14a-25 solve for that a then use the answer to a to then plug in thst number in all of them and that would be your answer
The perimeter of the isosceles triangle is 88.
A triangle is a polygon with three sides and three angles. There are different types of triangles such as scalene, equilateral, isosceles and so on.
From the diagram, two sides of the triangle are equal, hence it is an isosceles triangle, hence:
10a - 9 = 14a - 25
4a = 16
a = 4
10a - 9 = 10(4) - 9 = 31
6a + 2 = 6(4) + 2 = 26
Hence the perimeter of the triangle = 31 + 31 + 26 = 88
Hence the perimeter of the triangle is 88.
Find out more at: https://brainly.com/question/18645580
5. – X – 3 = 2x – 6
Help
Hello!
[tex]\large\boxed{x = 1}[/tex]
-x - 3 = 2x - 6
Begin by adding x to both sides:
-x + x - 3 = 2x + x - 6
-3 = 3x - 6
Add 6 to both sides:
-3 + 6 = 3x - 6 + 6
3 = 3x
Divide both sides by 3:
3/3 = 3x/3
x = 1.
Nine subtracted from twice a number
Answer:
2x - 9 = -5
2x = 4
x = 2
What is the slope of line y = 3
Answer:
slope = 0
Step-by-step explanation:
Answer:
Slope: 0
Step-by-step explanation:
Slope: 0
y-intercept:
( 0 , 3 )
Type the correct answer in each box. If necessary, use / for the fraction bar(s).
Given: A B || CD
If the coordinates of point A are (8. 0) and the coordinates of point Bare (3. 7), the yintercept of AB is____. If the coordinates of point Dare (5, 5), the equation of line CD is y= __ x+ __?
Answer:
8,3 y=3x+4
Step-by-step explanation:
The y intercept of line AB is 56/5 and the equation of the line CD is y = -7/5 x + 12.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Given A(8, 0) and B(3, 7).
Equation of line in slope intercept form is y = mx + c, where m is the slope and c is the y intercept.
Slope of AB = (7 - 0) / (3 - 8) = -7/5
Substituting in the equation,
y = -7/5 x + c
Substituting a point (8, 0) on the equation,
0 = (-7/5 × 8) + c
c = 56 / 5
Given AB parallel to CD.
Slope of parallel lines are equal.
Slope of CD is -7/5.
Equation of the line CD is y = -7/5 x + c.
Substituting (5, 5),
5 = (-7/5 × 5) + c
c = 12
Equation of CD is y = -7/5 x + 12
Hence the equation of line CD is y = -7/5 x + 12.
Learn more about Slope here :
https://brainly.com/question/14511992
#SPJ7
ILL GIVE U BRAINLIEST PLS ANSWER
Answer:
y = - 2x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form
with slope m = [tex]\frac{1}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2
The perpendicular line passes through the origin ⇒ c = 0
The equation of line L₂ is
y = - 2x + 0 , that is
y = - 2x
Answer both there’s a part A and B
Answer:
6
Step-by-step explanation:
Two trees cast shadows on the ground as shown. The smaller tree is 17m high and cast a 10m long shadow.
The faller tree casts a 10m long shadow. What is the height of the taller tree?
HELP ME WITH THIS PLEASE
Answer:
2.8
Step-by-step explanation:
this is my best guess
Under a given correspondence two triangles are congruent if the three sides of the one are equal to the three corresponding sides of the other
The above is known as
(a)SSS congruence of two triangles
(b)SAS congruence of two triangles
(c)ASA congruence of two triangles (d)RHS congruence of two right-angled triangles
Answer:
(a)SSS congruence of two triangles
Step-by-step explanation:
Congruence is a relationship that expresses the similarity between two triangles. The relationship between two triangles with their three sides being congruent is termed as the side-side-side (SSS) congruence property of the triangles. This implies that the two triangles are similar with respect to their three sides.
In corollary, since the three sides of the two triangles are congruent, then the three angles respectively would be congruent.
What is the value of 25 when z = 2?
Answer:
The question makes no sense in my opinion
Determine square of -p+6
Answer:
-12p+p^2+36
Step by step explanation:
(-p+6)^2 is the square of -p+6
we use the formula
(a+b)^2=2ab+a^2+b^2
(-p+6)^2=-12p+p^2+36
the minus of p disappears
I think you meant to say the SQUARE ROOT.
sqrt{-p + 6}
If you meant to SQUARE THE BIMOMIAL, then the set up is:
(-p + 6)^2
(-p + 6)(-p + 6)
p^2 -12p + 36
Marco needs to buy some dog food at the nearest store six Pazzo dog food cost $25.50 how much would Michael spend on five bags of dog food
Step-by-step explanation:
Since 6 Pazzo dog food cost $25.50,
5 Pazzo dog food would cost $25.50 * 5/6 = $21.25.
Hence Michael would spend $21.25.
Answer:
$21.25
Step-by-step explanation: $4.25 for each bag so $4.25 x 5= $21.25
Enter your answer and show all the steps
Solve the system by elimination
-2x+2y+3z=0
-2x-y+z=-3
2x+3y+3z=5
Answer:
Youe answer is (1,1,0)
Step-by-step explanation:
Hope that help.Have a great day!!Also Brainiest will be needed.
Help me solve this problem please
Do whatever u can no messing round plz
Answer:
1a. 5x+14
1b. 5x+14 < 65
1c. x=51/5
Step-by-step explanation:
x + 7= -209
please answer :)
Answer:
x = - 216
Step-by-step explanation:
x + 7 = -209
x = -209-7
x = -216
hope you got it.
Answer:
-216
Step-by-step explanation:
ur welcome
Which statement is true? CLEAR CHECK 0.25 = 14 because 25100 = 14 0.20 = 2010 because 0.20 means 20 tenths 0.23 > 12 because 0.23 = 23 0.4 = 14 because they are on the same place on a number lin
Answer:
because 25/100 = 1/4
0.20 = 20/100
Step-by-step explanation:
because 25/100 = 1/4
0.20 = 20/100
because 0.20 means 20 tenths 0.23 > 1/2
because 0.23 = 23
0.4 = 1/4
because they are on the same place on a number lin
The container that holds the water for the football team is 1/2 full. After pouring out 3 gallons of water, it is 1/3 full. How many gallons can the container hold?
Answer:
18 gallons
Step-by-step explanation:
1/6 of container is 3 gallons
so 6/6 is 18 gallons
Hope this helps. Pls give brainliest.
HELP QUICKLY I HAVE 3 mins LEFT
Answer:
B
Step-by-step explanation:
The range means y so it has to be b or d
and you see that it is -2 as lowest, 2 as highest value it can reach/cutoff at
please give thanks :)