If f(x) = -2 cos x, findf(-300 º). Do not use a calculator.
Answer:
- 1
Step-by-step explanation:
Using the trigonometric identity
cos(- x) = cosx and exact value cos60° = [tex]\frac{1}{2}[/tex]
Given
f(x) = - 2cosx , then
f(- 300° )
= - 2cos(- 300)°
= - 2cos(300)°
= - 2cos(360 - 300)°
= - 2cos60°
= - 2 × [tex]\frac{1}{2}[/tex]
= - 1
First to answer CORRECTLY gets a reward! :D
Answer:
Hot, Dim, Small
6/8 time is twice as fast as 3/4
True or False
Answer:
False
Step-by-step explanation:
Multiplying the numerator and the denominator by a number is basically multiplying the equation by 1, meaning that it won't change the value.
Keeping that in mind, 6/8 can be reduced to 3/4 by multiplying the top and bottom by 1/2, meaning they are equal.
To actually multiply a fraction to make it 2 times itself, you only multiply the numerator(top), not the denominator(bottom).
Answer:
False
Step-by-step explanation:
Order each group of numbers from least to greatest. 1. 4, π, 8 2. 5, 173, π+ 2 ________________________________________ ________________________________________ 3. 2, 1.7, −2 4. 2.5, 5, 32 ________________________________________ ________________________________________ 5. 3.7, 13, π+ 1 6. 54, π− 2, 52 ________________________________________ ________________________________________
Answer:
1. π, 4, 8
2. 5, π + 2, 173
3. -2, 1.7, 2
4. 2.5, 5, 32
5. 3.7, π + 1, 13
6. π - 2, 52, 54
Step-by-step explanation:
π = 3.1415
How are Asexual Reproduction and Sexual Reproduction alike?
Will Mark Brainliest and 5 stars
Answer:
They are both types of reproduction.
Step-by-step explanation:
I need help asap for these answers
Apply a 90 degree rotation to the point (1, 2)
Answer:
(-1,2)
Step-by-step explanation:
90 degree rotation from (a,b) is (-a,b)
If y varies directly as x, and y = -85 when x = 5, what is the value of y when x = 19
Answer:
-323
Step-by-step explanation:
y varies x
make k the unknown
y=kx
-85= 5k
:• k = -17
when x= 19
we can say...
y= -17(19)
y = -323 ✓
Frank has been driving at a constant speed for 3 hours, during which time he traveled 195 miles. Frank would like to know how long it will take him to complete the remaining 455 miles, assuming he maintains the same constant speed. Help Frank determine how long the remainder of the trip will take. Include a table or diagram to support your answer
Answer:
10.6 hours
Step-by-step explanation:
Juliet prepares cupcakes for a party. The recipe calls for 21 tablespoons of flour, but she only has a teaspoon to measure the flour. She uses 3 teaspoons of flour for each 1 tablespoon in the recipe. At this rate how many teaspoons of flour are required to make the cupcakes?
Answer:
63 teaspoons
Step-by-step explanation:
if 3 teaspoons equals 1 tablespoon and you need 21 tablespoons of flour the 21X3=63 so it requires 63 teaspoon measures to make the cupcakes
in a geometrical progression,the product of the 2nd and 4th term is double the the 5th terms. and the sum of the first four terms is 80 find the G.p
The 15th term of the geometric progression is 9,565,94.
What is the 15th term of the geometric progression?A geometric progression can be expressed as an = a1rn-1 for some a1 and r. You are told that a2 * a4 = 2a5 and a1 + a2 + a3 + a4 = 80.
From the first equation, a2 = a1 r, a4 = a1 r3, and a5 = a1 r4. This tells us that
a1 r a1 r3 = 2 a1 r4
The r's and one a1 cancel leaving a1 = 2.
Now, plugging similarly into a1 + a2 + a3 + a4 = 80,
2 + 2r + 2r2 + 2r3 = 80
r3 + r2 + r + 1 = 40
In general, the easiest way to solve a cubic is by graphing, but here you know the answer will be a small integer, so just try a few. If we try r=3, we get 27 + 9 + 3 + 1 = 40 so r = 3.
So the geometric sequence here is an = 2 3n-1. The 15th term is then:
a15 = 2*3^14
a15 = 9,565,938.
Full question:
A G.P, the product of the 2nd and the 4th term is double the 5th term, and the sum of the first 4th terms is 80. find the 15th term.
Read more about geometric progression
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which linear inequality is represented by the graph graph
Answer: choice A
Step-by-step explanation:
The linear inequality represented by the graph is y≥1/3x-1
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Let us find slope of line passing through points (0, -1) and (3, 0)
Slope = 0+1/3
=1/3
y intercept we have to find
0=1/3(3)+b
b=-1
So equation of line is y=1/3x-1
As the shading is away from origin, we use the greater than or equal to symbol.
y≥1/3x-1
Hence, the linear inequality represented by the graph is y≥1/3x-1
To learn more on slope of line click:
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Joshua walked 14 feet down the hall of his house to get the door he continued in a straight line out the door and across the yard to the mailbox, a distance of 24 feet he came straight back across the yard 10 feet and stopped to pet his dog How far did joshua walk in total
Answer:
Joshua walked 48 feet in total.
Step-by-step explanation:
To find the total distance we need to sum every distance that he walked. We have:
- First: Joshua walked down the hall to the door = 14 feet
- Second: He continued in a straight line out the door and across the yard to the mailbox = 24 feet
- Third: He came straight back across the yard and stopped to pet his dog = 10 feet
Hence, the total distance is:
[tex] d_{T} = d_{1} + d_{2} + d_{3} = 14 ft + 24 ft + 10 ft = 48 ft [/tex]
Therefore, Joshua walked 48 feet in total.
I hope it helps you!
I don’t understand can u please get help
Answer:
If one angel is 74 so the solution is
[tex]74 + 2x = 180 \\ 2x = 180 - 74 \\ x = 106 \div2 \\ \: x = 53 \\ u = 74 \\ v = 53 \\ w = 53[/tex]
Step-by-step explanation:
Please mark as brainliest
Line u has a slope of -3/4. Line v is parallel to line u. What is the slope of v
Answer:
-3/4
Step-by-step explanation:
Slopes are equal for parallel lines
Slope of line v is -3/4
Mr. Ortiz has 5/8 pound of oatmeal. He uses 4/5 of the oatmeal to bake muffins. How much oatmeal does Mr. Ortiz have left? Enter your answer in simplest form.
Help me please I need to answer this
Answer:
it is $150 in three months
Answer:
$50 per month
Step-by-step explanation:
After 3 months there's $150, and after 6 months there's 300. When averaged out (150/3 and 300/6), both equal 50, meaning the constant rate of change is $50 a month.
Ivan is getting ready for a long road trip. He wants to pack a few books from his collection of 5 novels and 7 collected short stories books. He asks his friend to select a book without showing. From the remaining books, Ivan then himself picks a random book, which turns out to be a novel. The third book that he randomly selects from the remaining ones is also a novel. Find the probability that Ivan will have 3 novels to read during the road trip.
Answer:
The probability that Ivan will have 3 novels to read during the road trip is 0.0455
Step-by-step explanation:
Given;
number of novels = 5
number of short stories = 7
total number of books = 12
The probability that Ivan's friend pick's a novel = 5 / 12
The probability of Ivan's first pick to be a novel = 4 / 11
The probability of Ivan's second pick to be a novel = 3 /10
The probability that Ivan will have 3 novels to read during the road trip is given by;
= p(Ivan's friend pick) and P(Ivan's first pick) and P(Ivan's second pick);
[tex]= \frac{5}{12}*\frac{4}{11}*\frac{3}{10}\\\\ = \frac{1}{22}\\\\ = 0.0455[/tex]
Therefore, the probability that Ivan will have 3 novels to read during the road trip is 0.0455
(8x + 6) ° = ___°
8x =
x =
Answer:
7°
Step-by-step explanation:
(8x+6)°=62°
8x=62°-6°
8x= 56°
X=(56/8)
X==7°
The points in the table lie on a line. Find the slope of the line.
The slope of the line is [tex]-\frac{3}{4}[/tex]
First, you must find 2 points.
(-6,8) (-2,5)
Then, you must substitute the value of the points in.
[tex]\frac{5-8 }{-2+6}[/tex]
Finally, simplify the fraction.
[tex]-\frac{3}{4}[/tex]
The volume, V, of a certain gas varies inversely with the amount of pressure, P. placed on it. The volume of this gas is 175
cm' when 3.2 kg/cm² of pressure is placed on it. What amount of pressure must be placed on 400 cm' of this gas?
2.86 kg/cm2
1.31 kg/cm?
7.31 kg/cm2
1.40 kg/cm2
Answer:
1.3 kg/cm
Step-by-step explanation:
What is the solution to the following equation?
2(3x - 7) + 18 = 10
If the height of an equilateral triangle ABC is 5/ 3 cm. Let us write by calculating the area
of this triangle
• Height of the equilateral triangle = 5/3 cm .
To find :• The area of the triangle .
Solution:• First find side :
As we know that:
• Height = √3/2 (side)
=> 5/3= √3/2 (side)
=> side = 10/3√3 cm
• Area of equilateral triangle = √3/4 (side)².
=> Area = √3/4(10/3√3)²
=> Area = √3/4(100/27)
=> Area = 25√3/27
=> Area = 43.30/27
=> Area = 1.60 cm².
Hence, the area of equilateral triangle is 1.60cm²
I hope it will help you.
Regards.
what is 15 times 6??? need answer pls thanks :)
Answer:90
Step-by-step explanation:
Solve for f: 7a−3d+6f=5
Can you also tell me if the others are right? please?
Answer:
the others are right
Step-by-step explanation:
good work keep going
EASY You make a salad to share with friends. Your sister eats 1/3 of it before your friends arrive. You want to divide the leftover salad evenly among six friends. Which expression describes the situation? *
A. 6 ÷ 2/3
B .2/3 ÷ 6
Answer:
b
Step-by-step explanation:
Answer:
I would have to say B, because 2/3 divided by 6 = 1/9. Plus, I think this would make sense considering we're dealing with a fraction problem. I hope this will help m8! ;)
Step-by-step explanation:
Marco's daughter Elena has four boxes of toy blocks, with 50 blocks in each one. One day she dumps them all out on the floor, and some of them get lost. When Marco tries to put them away again, he ends up with 45 blocks in one box, 53 in another, 46 in a third, and 51 in the fourth. How many blocks are missing
10. -4x + 7 = 15; -2 and tell whether the given number is a solution of each equation
Answer:
[tex]x = - \frac{3}{2} [/tex]
Step-by-step explanation:
-4x+7=15-2
subtract number 15-2
-4x+7=13
-4x=13-7
-4x=6
divide
x=-3 over 2
Assume the segment AB has already been constructed. What is the first step to construct the perpendicular bisector of AB?
Answer:
The first step is to place the compass needle on one of the ends of the given segment AB, and draw an arc above and below the segment AB
Step-by-step explanation:
The steps to construct a perpendicular to segment AB are;
1) Place the compass needle on one of the ends of the given segment AB, and draw an arc above and below the segment AB
2) With the same compass width, place the compass needle on the other end of segment AB, and draw an arc above and below the segment AB intersecting the arcs constructed in step 1 above. Label the point of intersection as C and D
3) With a straight edge, draw a line joining the points of intersection C and D of the two arcs. The line CD. is the perpendicular bisector of the segment AB.