Answer:
[tex]\vec{v}= <9\cos 10^{\circ}, 9\sin 10^{\circ}>\text{ or } \approx <8.86326977711,1.562833599 >[/tex]
Step-by-step explanation:
Component form of a vector is given by [tex]\vec{v}=<i, j>[/tex], where [tex]i[/tex] represents change in x-value and [tex]j[/tex] represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector [tex]\vec{v}=<i,j>[/tex], the magnitude is [tex]||v||=\sqrt{i^2+j^2[/tex].
190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being [tex]i[/tex], one leg being [tex]j[/tex], and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.
In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.
Therefore, we have:
[tex]\sin 10^{\circ}=\frac{j}{9},\\j=9\sin 10^{\circ}[/tex]
To find the other leg, [tex]i[/tex], we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:
[tex]\cos 10^{\circ}=\frac{i}{9},\\i=9\cos 10^{\circ}[/tex]
Verify that [tex](9\sin 10^{\circ})^2+(9\cos 10^{\circ})^2=9^2\:\checkmark[/tex]
Therefore, the component form of this vector is [tex]\vec{v}=\boxed{<9\cos 10^{\circ}, 9\sin 10^{\circ}>}\approx \boxed{<8.86326977711,1.562833599 >}[/tex]
I have 5 digits.My eight is worse 8000. One of my sixes is worth 60.The other is worth 10 times as much.My other digit is a zero
Answer:
i think its 58,660
Step-by-step explanation:
Answer:
58,660
Step-by-step explanation:
Pls help hella lost
2. What is the sum of iº + kº?
Please help out explanation need it will
Answer:
A=2(wl+hl+hw)
A=2(6ft×7ft+6ft×7ft+6ft×6ft)
A=2(42ft²+42ft²+36ft²)
A=2(120ft²)
A=240ft²
Step-by-step explanation:
write as a sentence in words 7.8 > 3.4
Answer:
seven and eight tenths is greater than three and four tenths
Hope it helped youPlz help guys, it is a pretty easy sum
Answer:
a3+13a
Step-by-step explanation:
sorry I don't know how to solve this
Answer:+-3
Explanation:
I added 4 on both side so that a^2+1/a^2-2 becomes a^2+1/a^2+2 which is Special products of (a^2+1/a^2).
Explain the process due to which rain falls ? Class 4 - EVS
Answer:
As you may already know, water drops that fall from the cloud are considered "rain".
The Sun's heat turns the moisture or water from leaves, plants, rivers, lakes, and oceans - and turns it into gas or also called, vapor. This water vapor then turns into gas and disappears into the air. When it gets mixed with the air, it cools down. When it cools down, it changes into small water drops, which then form a cloud. These small water drops join together with other water drops to create larger and bigger water drops.
You may know this now because this is the easiest part. What happens when something gets heavy or is over-filled? It falls down, right?
So, the large drops from water fall down as they get too heavy for the cloud to carry. These big droplets falling down on us are called Rain.
Jimmy is saving money to buy a concert ticket for $155. He has $42 so far and he can save $20 per week. In how many weeks will he have enough money to buy the ticket? Select an equation that could be used to answer the question above. Let W represent the number of weeks. A. 20w + 42 = 155 B. 20w - 155 =42 C. 42w + 20 = 155 D. 155w - 20 = 42
Answer:
The answer for this question is A
should the quadratic formula be used to solve this question explain.
x^2+4x-3=0
Answer:
Yes
Step-by-step explanation:
This equation does not factorise, so quadratic equation will be useful. It is easier than other methods that can be applied to this equation.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
option A
Step-by-step explanation:
Note:when there is an open circle, that means Less than or equal to.
if and when there is a Closed, colored Circle, It's Greater than or equal to or less than or equal to
6y−3=57 what does y equal
Answer:
y = 10
Step-by-step explanation:
6y−3=57
6y = 60
y = 10
Find the least number by which the following number must be multiplied so that the product are perfect cube one number 72 to number 128 number 288 phone number 675
Answer:
Well this question is actually a piece of cake. Just pick your favorite number. Multiply it by 10. Then do whatever operation you want with the 2,300. For the exponent part of this. Lets say we do it this way y times z equals 2,300. Exponents are letters used in mathematical terms. So any letter can be used to represent any number.
Step-by-step explanation:
Plz solve question 12
Answer: C
Step-by-step explanation:
To solve for 12, we can use eliminate or substituion to solve our system of equations. Let's use elimination method.
[tex]\left \{ {{3f-2k=10} \atop {-3f-2k=14}} \right.[/tex]
Let's add the equations together. This way, 3f+(-3f)=0
[tex]-4k=24[/tex] [divide both sides by -4]
[tex]k=-6[/tex]
Now that we know k, we can plug it into either equation to find f.
[tex]3f-2(-6)=10[/tex] [multiply]
[tex]3f+12=10[/tex] [subtract both sides by 12]
[tex]3f=-2[/tex] [divide both sides by 3]
[tex]f=-\frac{2}{3}[/tex]
Now that we have f and k, we know that C is the correct answer.
9) Assume that the random variable X is normally distributed, with mean = 90 and standard deviation o = 12. Compute the probability P(57 < X < 105).
A) 0.7888 B) 0.8944 C) 0.8914 D) 0.8819
Answer:
Step-by-step explanation:
The mean, [tex]\bar{x}[/tex], is 90 and the standard deviation, [tex]\sigma[/tex], is 12. We are looking for the probability that the variable X will fall between 57 and 105. We use the z-score table for this, AFTER we find the z scores. The formula to find the z-scores for us is:
[tex]P(\frac{57-\bar{x}}{\sigma}\leq z\leq \frac{105-\bar{x}}{\sigma})[/tex] and we fill in accordingly:
[tex]P(\frac{57-90}{12}\leq z\leq \frac{105-90}{12})[/tex] which simplifies to
[tex]P(-2.75\leq z\leq 1.25)[/tex] and we will break them up into 2 different sets as follows:
P(-2.75 ≤ z ≤ 0) + P(0 ≤ z ≤ 1.25)
and based on the fact that z scores are given from 0 on up, we are going to convert the first one by using the logic that if z is greater than -2.75 but less than 0, by symmetry, z is greater than 0 but less than 2.75:
P(0 ≤ z ≤ 2.75) + P(0 ≤ z ≤ 1.25) and we go to the z-score table.
Locate 2.7 down along the left side and move over til you're under the .05; that gives us the z-score for 2.75 which is .4970. Do the same for 1.25 to get a z-score of .3944. Add them together to get a final z-score that covers the range of values for X:
.4970 + .3944 = 0.8914
Mohamad bought a remote control car and paid $70.20. The price before tax was $65.00. What percent sales tax did he pay?
Answer:
Mohamad payed 8% of sales tax.
Step-by-step explanation:
First, we need to find the additional amount he paid to find the tax percentage.
70.20 - 65.00 = $5.20
Now, we divided that answer by the original price to find the actual percentage.
5.20/65.00 = 0.08 = 8%
The breadth of a rectangle is 4 units less than its length. If the perimeter of the rectangle is 20 units, write a pair of linear equations to model the above situation, assuming the length to be l units and the breadth to be b units.
Answer:
L=7 units and B=3 units
Step-by-step explanation:
L=B+4 ... Equation 1
P = 20
P=2(B+L)... Equation 2
20=2(B+B+4)... Substituting equation 1 to equation 2
20=2(2B+4)
20=4B+8
20-8=4B
12=4B
12/4=4B/4
B=3... Solve for B
L=B+4
L=3+4
L=7... Solve for L
Please help me find which expression is correct
Answer:
IN MY OPINION D NO IS THE CORRECT ANSWER OF YOUR QUESTION.
Answer:
in my opinion d is the correct answer of your questions.
Step-by-step explanation:
Because subtract subtract sign is always add.
hope this will help you
thanks
please help in indices
[tex] \frac{ {5}^{m + 2} - {5}^{m} }{ {5}^{m + 1} + {5}^{m} } \\ \\ \frac{ {4}^{m} + {4}^{m + 1} }{ {4}^{m + 2} - {4}^{m} } [/tex]
Step-by-step explanation:
Hey there!
Please see your required answer in picture.
Hope it helps!
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
A. 4√29/ 7 feet
b. 4√5 feet
c.√164 feet
d. 2√41
Answer:
These two triangles are similar triangles. This means that their side lengths are proportional to each other.
Thus, making line segment EC equal to "x", and BC equal to "y" we can write:
8/y = 28/(10+y)
The next step is to get rid of the fractions, which can be done by cross multiplying.
So we have:
8(10+y) = 28(y)
After distribution and some simplification, you should get the value of y.
80+8y = 28y
80 = 20y
80/20 = 20y/20
4 = y
y = 4
Knowing that y = BC, and y = 4, it is clear that BC = 4.
Since BC = 4, one can use the Pythagorean Theorem to solve for segment EC.
Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the side lengths of a right triangle, and c is the hypotenuse (in other words the longest side)
In our case, a and b are 8 and 4 (the order doesn't really matter here).
So we have: 8^2 + 4^2 = c^2
64 + 16 = c^2
80 = c^2
c = sqrt 80
c = 4 sqrt 5
And we arrive at the answer- EC = 4 sqrt 5, making B the correct choice.
Hope this helps!
Will Mark Brainlest Helppp please
Answer:
1
Step-by-step explanation:
a pair of coordinates defines a first number x, and as second number y (or the functional result).
so, we need to find the value of x that leads to 2 as functional result.
2 = x² + 1
1 = x²
x = 1
SHORT ANSWER
Question 3
This expression has three restrictions. What are they?
(3x^2-3x/x-2)/(2x-10/x-4)
Answer in a complete sentence.
Answer:
The restrictions are x≠2,4,5
Step-by-step explanation:
First the denominators cannot be zero
x-2 ≠0 so x≠2
Then x-4 ≠0 so x≠4
Also, since we are dividing, when we flip the second expression, the numerator becomes the denominator, so it cannot be zero
2x-10≠0
2x≠10
x≠5
The restrictions are x≠2,4,5
Y’all plss plss help me, it super ugent, I’ll mark the brainlest
Plsssssss, it Imp not spamming,, I’m serious I’ll report u
Answer:
the answer is correct
Step-by-step explanation:
hope u like
how many weeks are there in 504 hours
Answer:
26297.4 weeks
Step-by-step explanation:
hope it will help u
please mark me brillient
Pls help me I will mark your answer as brainliest!
Answer:
9
Step-by-step explanation:
if we divide it my 9 we will get 927,998.666667
Answer: greatest number which should be replace m= 8
Except number 9, ; 2,5.and 8 can replace m so that the number 5567m92 is divisible by 6( Here greatest among all is 8 so 8 is your answer)
Step-by-step explanation:
5567292 is divisible by 6.
5567592 is divisible by 6.
5567892 is divisible by 6.
Please help me with this anyone
Answer:
Step-by-step explanation:
Begin by combining like terms and then factoring. Combining like terms will give you
[tex]10p^2-17p-20=0[/tex] Using the "old-fashioned" way of factoring, the a times c method, our a = 10, b = -17 and c = -20.
a * c = 10(-20) = -200 and now we need the factors of 200 (don't worry about the negative) that combine to give us that middle term, -17p (here is where the negative matters). The factors of 200 are:
1. 200; 2, 100; 4. 50; 5, 40; 8, 25; 10, 20
The combination of those numbers that can be manipulated to give us a -17p is the 8, 25 as long as we say that the 25 is negative and the 8 is positive. Rewrite the original polynomial to reflect those factors:
[tex]10p^2-25p+8p-20=0[/tex] and then factor by grouping:
[tex](10p^2-25p)+(8p-20)=0[/tex] and factor out from each set of parenthesis what is common:
[tex]5p(2p-5)+4(2p-5)=0[/tex] again factor out what is common:
(2p - 5)(5p+ 4) = 0. These are the factors; therefore the solutions are
2p - 5 = 0 so
2p = 5 and
p = 5/2 and
5p + 4 = 0 and
5p = -4 so
p = -4/5
If there is an x find the value of it if not explain what needs to be given
Answer:
x value is 7
the answer is 7
Which is the best estimate of -14 1/9 (-2 9/10)
Answer:
Step-by-step explanation:
-14 1/9 is close to - 14
-2 and 9/10 is close to - 3
The best estimate would be 42 (14 * 3)
Estimate means you put your calculator on the kitchen counter until you've done this question.
Let's see what the actual answer is. 40.92222 which is close to 41.
42 is a pretty good estimate.
Enter a recursive rule for the geometric sequence?
4, -16, 64, -256,...
a^1 = __; a^n = __
Plzz help!
Answer:
Step-by-step explanation:
a^1=-2
a^n=a×a^n-1
What’s the answers???
Step-by-step explanation:
[tex]3)b \: c \ \: d \: e \\ \\ 4)bc \: nd \: de \\ 5)s \\ 6)t \\ thank \: you[/tex]
can somebody please help meee??
Answer: d. He multiplied when he was supposed to divide
Step-by-step explanation:
He just multiplied across when he was supposed to divide (or cross multiply) to find the unit rate :)