Answer:
Perimeter = 18
Step-by-step explanation:
P=2(l+w)=2·(7+2)=18cm
What is the discriminant
of the equation
3x2-7x+6=0
Help guys :(
You are given that cos(A)=15/17, with A in Quadrant IV, and cos(B)=4/5, with B in Quadrant IV. Find cos(A−B). Give your answer as a fraction.
Please help i need this asap.
Answer:
4/5
Step-by-step explanation:
There are four quadrants in a coordinate geometry.
The value of cos(A - B) is 84/85
The given parameters are:
[tex]\mathbf{cos(A) = \frac{15}{17}}[/tex]
[tex]\mathbf{cos(B) = \frac{4}{5}}[/tex]
Using trigonometry ratio, we have:
[tex]\mathbf{sin^2(A) + cos^2(A)= 1}[/tex]
Substitute [tex]\mathbf{cos(A) = \frac{15}{17}}[/tex]
[tex]\mathbf{sin^2(A) + (\frac {15}{17})^2 =1}[/tex]
Expand
[tex]\mathbf{sin^2(A) + \frac{225}{289} =1}[/tex]
Collect like terms
[tex]\mathbf{sin^2(A) =1 - \frac{225}{289}}[/tex]
Evaluate fraction
[tex]\mathbf{sin^2(A) =\frac{64}{289}}[/tex]
Take square roots of both sides
[tex]\mathbf{sin(A) =\pm\frac{8}{17}}[/tex]
The angle is in the fourth quadrant.
So, we have:
[tex]\mathbf{sin(A) =-\frac{8}{17}}[/tex]
Also,
Substitute [tex]\mathbf{cos(B) = \frac{4}{5}}[/tex] in [tex]\mathbf{sin^2(B) + cos^2(B)= 1}[/tex]
[tex]\mathbf{sin^2(B) + (\frac 45)^2= 1}[/tex]
[tex]\mathbf{sin^2(B) + \frac{16}{25}= 1}[/tex]
Collect like terms
[tex]\mathbf{sin^2(B) = 1 - \frac{16}{25}}[/tex]
Simplify fraction
[tex]\mathbf{sin^2(B) = \frac{9}{25}}[/tex]
Take square roots
[tex]\mathbf{sin(B) = \pm \frac{3}{5}}[/tex]
The angle is also in fourth quadrant
So, we have:
[tex]\mathbf{sin(B) = - \frac{3}{5}}[/tex]
To calculate cos(A - B), we make use of:
[tex]\mathbf{cos(A - B) = cos(A)cos(B) + sin(A)sin(B)}[/tex]
So, we have:
[tex]\mathbf{cos(A - B) = \frac{15}{17} \times \frac{4}{5} + \frac{-8}{17} \times \frac{-3}{5}}[/tex]
Evaluate
[tex]\mathbf{cos(A - B) = \frac{60}{85} + \frac{24}{85}}[/tex]
Take LCM
[tex]\mathbf{cos(A - B) = \frac{60+24}{85}}[/tex]
[tex]\mathbf{cos(A - B) = \frac{84}{85}}[/tex]
Hence, the value of cos(A - B) is 84/85
Read more about quadrants at:
https://brainly.com/question/7196054
Please Help me solve for x
3x-m=10
Answer:
x=(10+m)/3
Step-by-step explanation:
3x-m=10
3x=10+m
x=(10+m)/3
Answer:
You can't solve for this since there are two variables. We can only solve this when we either know the value of one variable or we have another equation with these two variables.
Mr. Zhou surveyed his 25 students to find out how much time they spent doing homework each week. The results of his survey are shown in the table below. How many students spent 5–10 hours doing homework each week?
7
8
12
32
Answer: it’s 12
Step-by-step explanation:
13w + 9 = 178
What’s the first step in solving this equation
Step-by-step explanation:
I don't know if you do this the same way I did, but..
The first step is to subtract 9 on both sides, like this.
13w + 9 = 178
-9 -9
You'll end up with:
13w = 169
I don't know if you need the answer or not but I'll help you out.
For the second step, divide both sides by 13w.
13w = 169
/13w /13w
w = 13
Hope this helped!
Answer:
The first step is that you have to subtract 9 from both sides and you are left with 13w=169 now divide both sides by 13 and you get 13 as your answer.
Step-by-step explanation:
Need help asap please!!!
Answer:
-6,-4
Step-by-step explanation:
The coordinates of the point is -2,2 so you subtract 4 and 6. That is -6.-4
Hope this helps plz mark brainliest :D
Helpp Please..........
Answer:
50
Step-by-step explanation:
Mark as brainliest
If x and y are both integers, which expression(s) are equivalent to ||x – y||?
A) ||y – x||
B)
||y + x||
C)
||y|| – ||x|| if x≤y and x≥0
D)
||x|| – ||y|| if y>x
E)
||y|| + ||x|| if y>x
If x and y are both integers, then the expression equivalent to ll x - y ll is,
ll y -x ll.
Here,
Given expression is, ll x - y ll
What is modulus function?
The modulus function gives the magnitude or absolute value of a number irrespective of the number being positive or negative.
Now,
Let x = 2 and y = 1
Hence, ll x - y ll = ll 2 - 1 ll = 1
And, ll y - x ll = ll 1 - 2 ll = 1
So, Option A is true.
Hence, If x and y are both integers, then the expression equivalent to llx - y ll is, ll y -x ll.
Learn more about the modulus function visit:
https://brainly.in/question/17759076
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ILL GIVE BRAINLY THING
9514 1404 393
Answer:
d. The data is continuous because it is connected, without gaps.
Step-by-step explanation:
If you can draw the graph without lifting your pencil, then the data is continuous. That is the case here. The best description is the last one:
The data is continuous because it is connected, without gaps.
Consider a triangle with two sides that
measure 6 cm and 10 cm forming an angle
that measures 80°.
Find the length of the third side of the triangle to the nearest tenth centimeter
A) 10.1 cm
B) 10.7 cm
C) 11.1 cm
D) 11.4 cm
Answer:
c
Step-by-step explanation:
c
The scale on a map reads 1 cm = 250 km. How far is the actual distance if the map distance measures 3.8 cm?
Answer:
950 km
Step-by-step explanation:
1 cm = 250 km
3.8 * 250 = 950
Answer:
950 km
Step-by-step explanation:
[tex]\frac{1}{250} = \frac{3.8}{x}[/tex]
(cross multiply)
250(3.8)= 950
(divide both sides by 1)
950/1=950
Alan made $208 for 13 hours of work, At the same rate, how many hours would he have to work to make $ 128?
The levine family gas 10 gallons of gas in the car. The car uses 1 5/8 of a gallon each hour. How long can they drive on 10 gallons of gas?.
Answer:
6 hours
Step-by-step explanation:
6 * 1 5/8
6* 13/8=9.75
Answer:
6 hours
Step-by-step explanation:
Solve the inequality W > Y Plus H all divided by P for H
Answer:
W - Y > H
Or
H < W - Y
Step-by-step explanation:
From the word problem/ information given from the problem, we can formulate a full inequality:
[tex]\frac{W > Y+H}{P}[/tex]
And we are trying to solve for H:
What we must do is solve by following the process of PEMDAS
P - () (Parenthesis)
E - [tex]x^{2}[/tex] (Exponents)
M - x (Multiply)
D - [tex]\frac{x}{y}[/tex] (Division)
A - + (Addition)
S - [-] (Subtraction)
1) Look through PEMDAS until you notice one:
We find that there is Division!
In order to get one step closer to finding H, we must do the opposite of dividing which is multiplying:
P([tex]\frac{W > Y+H}{P}[/tex])
This will cancel out P, leaving you with:
[tex]{W > Y+H}[/tex]
2) Now we must get H alone by subtracting Y on both sides:
[tex]{W > Y+H}\\[/tex]
-Y - Y
---------------
W - Y > H
Your final answer is W - Y > H
Factorise fully 2x^2-8x
Answer:
2x(x-4)
Step-by-step explanation:
2[tex]x^{2}[/tex]-8x= 2([tex]x^{2}[/tex]-4x)= 2x(x-4)
Answer:
[tex]\mathrm{Factor}\:2x^2-8x:\:2x\left(x-4\right)[/tex]
Step-by-step explanation:
Given the expression
[tex]2x^2-8x[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c[/tex]
[tex]x^2=xx[/tex]
so the expression becomes
[tex]2x^2-8x=2xx-8x[/tex]
[tex]=2xx-2\cdot \:4x[/tex]
[tex]=2x\left(x-4\right)[/tex] ∵ [tex]\mathrm{Factor\:out\:common\:term\:}2x[/tex]
Therefore,
[tex]\mathrm{Factor}\:2x^2-8x:\:2x\left(x-4\right)[/tex]
in order to lure new customers to a credit card
Answer:
Tell them you don't take cash
any nepali here...............who play freefire
Answer:
I am nepali but i donot play freefire
Half of a number x is equal to 9 less than 2 times that same number. What is the
number
Answer:
[tex]x = 6[/tex]
Step-by-step explanation:
Analyzing the statement one after the other:
Half a number x: [tex]\frac{1}{2}x[/tex]
Equals to: [tex]=[/tex]
9 less than twice that same number: [tex]2x - 9[/tex]
Bring them together, we have:
[tex]\frac{1}{2}x = 2x-9[/tex]
Collect Like Terms
[tex]\frac{1}{2}x - 2x= -9[/tex]
[tex]\frac{x}{2} - 2x= -9[/tex]
[tex]\frac{x - 4x}{2} = -9[/tex]
[tex]\frac{ - 3x}{2} = -9[/tex]
Multiply through by 2
[tex]2 * \frac{ - 3x}{2} = -9 * 2[/tex]
[tex]- 3x = -18[/tex]
Divide through by -3
[tex]x = 6[/tex]
A movie theater sells adult tickets for $4 and children tickets for $2. At a certain movie, there were 90 people in attendance and a total of $260 in sales. How many adults and children were at the movie?
A company has a target to reduce the number of its stores by 40% over the next two years. At the end of the first year it has reduced the number of its stores by 20% If the company is going to reach its target, it must reduce the number of its stores
Answer:
by 25%
Step-by-step explanation:
We can assume that the company originally had 100 stores and it plans to keep only 60 open after two years. If it was able to close 20 stores during the first year, the total number of stores remaining open was 100 - 20 = 80. Since it needs to decrease the number of stores to 60, it must reduce the number of stores by 20/80 = 0.25 or 25%.
4+4(4-9x9)
What is the answer to this question?
Answer:
=-616
Step-by-step explanation:
8(4-9x9)
bidmas
8(4-81)
8(-77)
Answer:
-616 is the answer for the question
helpp idk what the heck im supposed to do so if anyone can help thank you <3 :)
Hope this helps you!
Solve the Inequality for x
4x − 5 ≥ 7
Move all terms not containing x to the right side of the inequality.
4x ≥ 12
Divide each term by 4 and simplify.
x ≥ 3
The result can be shown in multiple forms.
Inequality Form:
x ≥ 3
Interval Notation:
[3,∞)
Lots of love for you darling!~ <3
You graph it here
Answer:
Step-by-step explanation:
Alright, so this is basically just another equation, but then you see the greater than or equal to sign. How do I solve this? You may be asking. Well, treat it like an equation and worry about the sign later.
4x - 5 [tex]\geq[/tex] 7
Solve for x.
Add 5 to each side, then divide by 4 to each side.
4x [tex]\geq[/tex] 12
x [tex]\geq[/tex] 3 <----This is the answer.
Now for the graph. Look at the picture below:
That's what the graph should look like. Since it has a greater than or equal to sign, the line will be solid.
The graph is basically saying that anything that is greater than 3 (including 3) is counted, which is why that entire right side of 3 is shaded in.
Also, the way you should technically graph it is on a number line. So make a number line.
-2 -1 0 1 2 3 4 5 6 7 8 9 10
<-----|-----|-----|-----|-----|-----€-----|-----|-----|-----|-----|-----|-----|----->
(Pretend € is the filled in dot).
So, the above number line is what it should look like when graphed. The € circle is filled in because we are including the 3.
#teamtrees #WAP (Water And Plant)
PLEASE HELP!! In a radio station contest, the first prize is $2,000 and the second prize is $500. The probability of winning the first prize is 0.005 and the probability of winning the second prize is 0.008. The station runs this contest many, many times to increase its listening audience. What is the expected payout for each time the station offers the opportunity to win the prizes?
A. $2,300
B. $500
C. $100
D. $14
E. $10
Answer:
THe awnswer is B
Step-by-step explanation:
Answer: D. $14
Step-by-step explanation: I got this right on Edmentum
The shortest distance from a line to the center of a circle of a radius 4 units is 12 units. The circle is reflected across the line. What is the radius of the resulting image?
Answer: The radius will still be 4 units.
Step-by-step explanation:
Since it is a rigid transformation, nothing of the shape will change excepts it location meaning that the radius of the shape will still stay the same.
The radius is 4 and after a reflection , the radius will still be 4.
SERIOUS NEED OF HELP!!!! *giving brainliest*
70 concert tickets were sold for $550. Each adult ticket cost $9 and each children’s ticket cost $5. How many adults tickets were sold? (Write only the number for the answer.)
Answer:
Total tickets = 70
Total cost = $550
Adult's ticket = $9
Child's ticket = $5
Difference = 9 - 5 = $4
Assume all 70 are child's tickets
5 x 70 = 350
But the total cost was 550
550 - 350 = $200
The $200 must have come from Adult's tickets, which has a difference of $4.
200 ÷ 4 = 50
So there are 50 adult's tickets.
70 - 50 = 20
And there are 20 child's tickets.
Please help me with math!!!
Answer:
x= 4
y= 116
Step-by-step explanation:
Solve for X please :)
Answer:
x = 10
Step-by-step explanation:
Assuming the 2 figures are similar, then the ratios of corresponding sides are equal, that is
[tex]\frac{5}{x}[/tex] = [tex]\frac{4}{8}[/tex] ( cross- multiply )
4x = 40 ( divide both sides by 4 )
x = 10
a 10ounce containerof milk contains 200 calorieshow many calories does each ounce of milk contain.
Answer:
Each ounce contains 20 calories.
Step-by-step explanation:
200/10 = 20/1
20/1 simplified is 20.
Answer:
20 calories per ounce
Step-by-step explanation:
if 200 calories is in 10 ounces of milk, then you can divide 200 by 10; 200 ÷10=20 calories per ounce
which set dose - 4/9 belong A integers B whole numbers C natural numbers D rational numbers
Answer:
-4/9 is a rational number
Step-by-step explanation:
Rational numbers are the numbers you can make by dividing one integer by another, so in other words a fraction.
Answer
4/9 belongs to rational numbers (D).
Explanation
(Lol moderator deleted everyone's answers so I'm gonna answer).
First I'll give you a definition of each choice.
Integers: Integers don't include decimals or fractions. Integers are positive and negative numbers. So basically it's this; (..., -3, -2, -1, 0, 1, 2, 3, ...). The '...' means numbers from infinity to the next number. I hope this makes sense Imao.
Whole numbers: whole numbers are integers, except they don't include negative numbers. Whole numbers include 0 (zero)... (0, 1, 2, 3, ...)
Natural numbers: natural numbers are whole numbers but they don't include 0 (zero)... (1, 2, 3, ...)
Rational numbers: rational numbers are numbers that can be expressed as a fraction. This includes repeating decimals such as 0.333 repeating. Rational numbers also include integers, because if you put the number over one, that is a fraction. Rational numbers are basically every number except for the radicals of some numbers (such as the square root of 3) and pi.
So now let's just see which one 4/9 is.
Well, 4/9 is not an integer, whole number, or natural number because it is a fraction.
But 4/9 can be expressed as a fraction (well, it already is one) meaning it is a rational number.
slope for (2,-5) (1,5)
Answer:
Slope (m) = 0
Step-by-step explanation:
