Answer:
Step-by-step explanation:
You want the value of theta, I take it. Add 2 to both sides
2cos(theta) = 2 Divide by 2
2cos(theta)/2 = 2/2
cos(theta) = 1
So theta = 0 degrees.
So 0,360 .... n*360 is the general solution.
You construct a picture frame with a diagonal piece attached to the back for support, as shown below. Can you tell from the dimensions whether the corners of the frame are right angles?
222Answer:
Step-by-step explanation:
As a given dimension of the rectangle frame satisfied the Pythagoras theorem, so the frame consists of right angles.
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.
Here,
Constructed a picture frame with a diagonal piece attached to the back for support, as shown.
To check from the dimensions whether the corners of the frame are right angles, so from observation, the figure is of a rectangle, It must satisfy the Pythagoras theorem.
Diagonal = 39
Diagonal = √[15² + 36²]
Diagonal = √1521
DIagonal = 39
Thus, as a given dimension of the rectangle frame satisfied the Pythagoras theorem, so the frame consists of right angles.
Learn more about rectangles here:
brainly.com/question/15019502
#SPJ2
Please the the working. A car bought for $200 and sold for $250, what was the percentage gain of the cost price?
9514 1404 393
Answer:
25%
Step-by-step explanation:
A percentage change is calculated using the formula ...
pct change = ((new value) - (old value))/(old value) × 100%
For your numbers, this is ...
pct change = (250 -200)/200 × 100% = 50/200×100% = 25%
The selling price was 25% more than the cost price.
Explain distributive property
Answer:
distributive property of binary operations generalizes the distributive law from elementary algebra, which asserts that one has always {\displaystyle x\cdot =x\cdot y+x\cdot z.} For example, one has 2 ⋅ = +. One says that multiplication distributes over addition.
Answer:
Look at attachment:
Step-by-step explanation:
Hope this helps! :)
Express -36/78 as a rational number with numerator 6:
Answer:
6/9
Step-by-step explanation:
Answer:
6/9 I think that's the answer
The state of Georgia has roughly 10⁷ human residents. Each human has roughly 10¹³ bacteria cells in his or her digestive tract. How many bacteria cells are there in the digestive tracts of all the humans in Georgia?
Answer:
10^20
Step-by-step explanation:
So in this word problem, we have to multiply 10^13 bacteria cells on a single person by the 10^7 of people.
Always remember this, when you have exponenets with the same bases, and the question asks for multiplying and dividing exponents, you just need to add and subtract the exponent.
So in this case, we will just add since it calls for multipactation.
So we need to solve:
10^13+7
This will just equal:
10^20 power
Hope this helps ;)
Maria works for an international marketing consulting group. She is studying the monthly demands for Range Rover (suv) in two different cities of the country. She has 180,000 new Range Rovers to ship to the two cities, and she decides to ship 40,000 more to New York City than to Boston. Find the number of (suv) to be shipped to New York City . Please no link I can't open them
Answer:
110,000 (suv) to be shipped to New York City
Step-by-step explanation:
We know that there are 180,000 (suv) to be shipped in total. We also know that there are two cities which these (suv) must be shipped to. So, that is 180,000 (suv) to be shipped to two cities. Let's right a true equation with this information:
Let n represent the number of (suv) to be shipped to New York City and b represent the number of (suv) to be shipped to Boston.
n + b = 180,000
Now, we also know that the number of (suv) to be shipped to New York City is 40,000 greater than the number of (suv) to be shipped to Boston. So, we can write another true equation (for the sake of convenience, let's write it in terms of b rather than in terms of n):
b = n - 40,000
Now that we have a value for b in terms of n, we can plug this value into b in our first equation:
n + (n - 40,000) = 180,000
From here, we can solve:
n + n - 40,000 = 180,000
2n - 40,000 = 180,000
2n = 220,000
n = 110,000
Thus, we have our final answer.
I would appreciate Brainliest, but no worries.
Find the magnitude of vector v with initial point (7,5) and terminal point (-3,-5).
Answer:
10√2
Step-by-step explanation:
magnitude of vector v = √Δx² + Δy² = √(-3 - 7)² + (-5 - 5)² = √(-10)² + (-10)²
magnitude of vector v = √200 = 10√2
Find the lengths of the legs.
(NO LINKS)
Given:
The figure of a right angle triangle with hypotenuse 10 and two angles [tex]45^\circ, 90^\circ[/tex]
To find:
The lengths of the legs.
Solution:
Two angles are given. By using the angle sum property, the third angle is:
Third angle = [tex]180^\circ-45^\circ- 90^\circ[/tex]
= [tex]45^\circ[/tex]
Base angles are equal it means the given triangle is an isosceles right triangle. So, the lengths of both legs are equal.
Let x be the lengths of both legs. Then by using Pythagoras theorem, we get
[tex]Hypotenuse^2=leg_1^2+leg_2^2[/tex]
[tex](10)^2=x^2+x^2[/tex]
[tex]100=2x^2[/tex]
[tex]\dfrac{100}{2}=x^2[/tex]
[tex]50=x^2[/tex]
Taking square root on both sides, we get
[tex]\pm \sqrt{50}=x[/tex]
[tex]\pm 5\sqrt{2}=x[/tex]
[tex]\pm 5\sqrt{2}=x[/tex]
The side length cannot be negative. So, the only value of x is [tex]5\sqrt{2}[/tex].
Therefore, the length of the both legs is [tex]5\sqrt{2}[/tex] units.
Order the following integers from least to greatest. -4, 3, 0, -2, 1, -3
Answer:
-4; -3; -2; 0; 1; 3;
Step-by-step explanation:
The legs of a right triangle are 24 in and 9 in. What is the length of the hypotenuse? Round to the nearest tenth.
Answer:
25.6
Step-by-step explanation:
24^2 + 9^2=h^2
576+81=h^2
657=h^2
25.6=h
Which pair of events is dependent?
O A. You get a head and a tail in two coin tosses with two different coins.
O B.
You get a head and a tail in two coin tosses using the same coin twice.
O C. You pick two
numbered billiard balls from a bag of balls one after the other without replacement.
O D. You draw two red cards one after the other with replacement.
Answer:
It's option C
Step-by-step explanation:
C. You pick two numbered billiard balls from a bag of balls one after the other without replacement.
Assume that there are an equal number of births in each month so that the probability is that a person chosen at random was born in May. A group of 20 friends meet monthly and celebrate the birthdays for that month. What is the probability that at the May celebration, exactly two members of the group have May birthdays
Answer:
0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they have a birthday in May, or they do not. The probability of a person having a birthday in May is independent of any other person. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of a person being in May:
May has 31 days in a year of 365. So
[tex]p = \frac{31}{365} = 0.0849[/tex]
Group of 20 friends:
This means that [tex]n = 20[/tex]
What is the probability that at the May celebration, exactly two members of the group have May birthdays?
This is P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{20,2}.(0.0849)^{2}.(0.9151)^{18} = 0.2773[/tex]
0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays
I need help on this.
Answer:
the first one
Step-by-step explanation:
how fast does it take a baseball to reach the plate, when pitched by a professional pitcher in baseball?
Answer:
The distance from the pitcher's hand to home plate is 60 feet, 6 inches. So…… At 100 mph the ball covers 146.7 feet per second, or 0.412 seconds to get to the batter. Less than half a second!
Omar the tent maker wishes to support a 13.4-ft tent wall by attaching 25-ft cable to the top of it, and then anchoring the cable to the ground. If the cable is pulled tight, how far from the base of the tent will it be anchored?
Answer:
21.11 ft
Step-by-step explanation:
This question would be solved using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
13.4² + b² = 25²
179.56 + b² = 625
b² = 625 - 179.56
b = 445.44
find the square root of 445.44
b = 21.11 ft
What is the correct answer for this question?
Answer:
3 2/3 inches (the last one)
Answer:
[tex]maybe \: letter \: a[/tex]
This is a relative frequency table. Can some one help?
Answer:
Step-by-step explanation:
it's an unfair question b/c we have to know if it's out of all girls or out of all kids. So we need to know the population total. so if it was just girls the it's
3/45 = 0.0666666666666...
if it's out of kids.. then it's 3/123= 0.02439....
so that's the two choices.. which one is on the list of choices? both are so that's why this is an unfair question. maybe this is more to the question not shown in the picture? hmmmm
Aboard is cut into 12 equal pieces. How many pieces together represent 3/4 of the board? Explain how you arrived at your answer?
Answer:
9 pieces represent 3/ 4 because
3/4 × 12 parts = 9 parts
mark me as brainliest
Answer:
9 pieces
Step-by-step explanation:
12 x 3/4 = 9 or
3/4 converted to a decimal = .75 and 12 x .75 = 9
factor by grouping 20i^3-25i^2+4i-5
Find the mean for the data set. 1600, 1800, 1205, 1360, 1205, 1135, 1895, 1400, 1955, 1710
Answer:
1526.5
Step-by-step explanation:
To find the mean...
Add all of the numbers and then divide by how many numbers there are.
1600+1800+1205+1360+1205+1135+1895+1400+1955+1710 = 15265
15265/10 = 1526.5
Emma earns $12 an hour babysitting. She wants to save at least $180. Write and solve and inequality to find the minimum number of hours she needs to work to reach her goal.
Answer:
15 hours
Step-by-step explanation:
180 ÷ 12 = 15
^-^
Can I have brainlest please?
132.721 rounded to the nearest hundredth.
(2/3)^4=
am very confuse guys help!!!
Answer:
16/81
Step-by-step explanation:
Lets break it down
When you see ^4, you are multiplying the base ( 2/3 ) by itself 4 times
So lets write the equation
[tex]\frac{2}{3} *\frac{2}{3} *\frac{2}{3} *\frac{2}{3} = x\\[/tex]
[tex]\frac{4}{9} *\frac{4}{9} =x[/tex]
[tex]\frac{16}{81} =x\\x= \frac{16}{81}[/tex]
If my answer is wrong pls correct me.
If you like my answer and explanation then please mark me as Brainliest!
-Chetan K
Please help
i will give brainleist
Screen shot down below⬇⬇⬇
Answer:
ok
Step-by-step explanation:
i think its sependent variable
What is .66666666 as a fraction?
Answer:
2/3
Step-by-step explanation:
2 divided by 3 is 0.6666666 repeated.
Answer choices
10%
30%
25%
No links no links I will report
question in screenshot
Given f(x) = 6(1-x), what is the value of f(-8)?
Answer:
7/3
Step-by-step explanation:
1x6
1x(-x)
subtract and solve
look at pic 10 pts will mark brainilest
Answer:
12h = 432
Step-by-step explanation:
Richard requests his annual Social Security Statement from the IRS each year. He wants to check how many Social Security credits he received
for 2009. He worked January thru September and earned $2,304 per month. At the end of September his company had layoffs and Richard did
not work from October thru December. How many credits did he earn in 2009? *Required to earn at least 51092 per quarter.
O
Ob
Ос
Od
1
4
3
Answer:
Statement from the IRS each year. He wants to check how many Social Security credits he received
for 2009. He worked January thru September and earned $2,304 per month. At the end of September his company had layoffs and Richard did
not work from October thru December. How many credits did he earn in 2009? *Required to earn at least 51092 per quarter.
O
Ob
Ос
Od
1
4
3