Answers
The answer will be [tex] \frac{ 18\sqrt{2} }{ \sqrt{3} } [/tex] .
Now how is that, there is a rule for the right angled triangle which says:
cosθ = [tex] \frac{adjacent side}{hypotenuse} [/tex] so, if we applied this rule on the lower triangle we can say: cos30°= [tex] \frac{9}{hypotenuse} [/tex] and therefore the hypotenuse = [tex] \frac{9}{cos30} [/tex] = [tex] \frac{18}{ \sqrt{3} } [/tex] .
now in the upper triangle we will apply the same rule so,
cos45°=[tex] \frac{adjacent side}{hypotenuse} [/tex]
and the adjacent side in the upper triangle is [tex] \frac{18}{ \sqrt{3} } [/tex] and the hypotenuse is x.
so cos45°=[tex] \frac{( \frac{18}{ \sqrt{3} } )}{x} [/tex] and then we can say
x=[tex] \frac{ \frac{18}{ \sqrt{3} } }{cos45} [/tex] = [tex] \frac{ 18\sqrt{2} }{ \sqrt{3} } [/tex] .
Answer: B
Step-by-step explanation: EDGE 2022
Related Questions
Determine, for vectors u = i + 2j − k, v = −i + j + k, w = i + k (a) a unit vector in the direction u + 2v − 3w
Answers
v=-i+j+k
w=i+k
thus:
u+2v-3w
i+2j-k+2(-i+j+k)-3(i+k)
=i+2j-k-2i+2j+2k-3i-3k
=i-2i-3i+2j+2j-k+2k-3k
=-4i+4j-2k
Which of the points are solutions to the inequality?
y > 2x -4
Check all that apply.
(–2, –5)
(0, –4)
(1, 1)
(3, 5)
(5, 5)
Answers
the real answer is (1) (3) (4) on edgen.
The points that are solutions to the inequality below are (–2, –5), (1, 1) and (3, 5)
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
We need to replace the values of x and y of the point into the inequality, and if all conditions are respected, they are solutions.
Given inequality is
y > 2x -4
The points that are solutions given as follow:
1. (–2, –5)
y > 2x -4
-5 > -4 -4, True
2. (0, –4)
y > 2x -4
-4 > -4 False
3. (1, 1)
y > 2x -4
1 > -2 True
4. (3, 5)
y > 2x -4
5 > 2 True
5. (5, 5)
y > 2x -4
5 > 6 False
Hence, The points that are solutions to the inequality below are (–2, –5), (1, 1) and (3, 5)
Learn more about inequalities here:
https://brainly.com/question/27425770
#SPJ6
can someone check my answer please HELP!
Sonji paid $25.00 for two scarves, which were different prices. When she got home she could not find the receipt. She remembered that one scarf cost $3 more than the other. What was the price of the more expensive scarf?
i believe i got 14 for the most expensive scarf am i correct?
Answers
Price of the other is 3 more than $x
Therefore price of the other scarf =$x +3
The total price she paid = $25.00
That is, x+x+3=25
2x+3=25
2x=25-3
2x=22
x=22/2
x=11
The price of one scarf is $11 and the price of the other is 11+3=$14
The price of the expensive scarf =$14.
(3c2 + 2d)(–5c2 + d) Select all of the partial products for the multiplication problem above.
Answers
Answer:
2d^2
-15c^4
-10c^2 d
3c^2d
Step-by-step explanation:
Just had the question, good luck lovelies! :)
The partial products for the expression (3c² + 2d)(-5c² + d) are -15c⁴, 3c²d, -10c²d, and 2d².
The multiplication of the expression (3c² + 2d)(-5c² + d) step by step,
(3c² + 2d)(-5c² + d)
To find the partial products, we'll use the distributive property, which states that for any numbers a, b, and c:
a(b + c) = ab + ac
Now, applying this to your expression:
3c² × -5c²:
Multiply 3c² by -5c².
Result: -15c⁴
3c² × d:
Multiply 3c² by d.
Result: 3c²d
2d × -5c²:
Multiply 2d by -5c².
Result: -10c²d
2d × d:
Multiply 2d by d.
Result: 2d²
Therefore, these are the partial products obtained when multiplying the given expressions.
-15c⁴
3c²d
-10c²d
2d²
learn more about partial products here
brainly.com/question/896024
#SPJ3
The above question is incomplete , the complete question is:
(3c² + 2d)(–5c² + d) Select all of the partial products for the multiplication problem above.
2d²
3cd³
-15c⁴
-10c²d
-15c²
3c²d
How many ways can 6 basketball players be listed in order in a program?
Answers
A duck has two legs. Write a conditional statement based on the given statement. A. An animal is a duck if it has two legs. B. If an animal has two legs, then it is a duck. C. If an animal is a duck, then it has two legs. D. If an animal is not a duck, then it does not have two legs.
Answers
the conditional statement is a logical statement that has two parts, a hypothesis and a conclusion.
in this problem
hypothesis----------->If an animal is a duck
conclusion-----------> then it has two legs
the answer is the option C.) If an animal is a duck, then it has two legs.
Answer:
C
Step-by-step explanation:
How can you use factoring to solve quadratic equations in standard form?
Answers
Solve 2x^2 - 3x - 20 = 0
multiply the first and last numbers:- 2 * -20 = -40
Note that -40 = -8 * 5 and -8 + 5 = -3 ( the 'middle' number in the standard form)
so we write:-
2x^2 - 8x + 5x - 20 = 0
2x(x - 4) + 5(x - 4) = 0
(2x + 5)(x - 4) = 0
giving 2x + 5 = 0 or x - 4 = 0
giving the roots x = -2.5 and x = 4
Clare's teacher has a box of 180 stickers for a group of students to share equally. Does each student get more stickers if there are 6 students or if there are 9 students
Answers
In circle K, what is the value of x?
x = 30°
x = 25°
x = 20°
x = 15º
Answers
Hope this helps :D
Answer:
The correct option is 4.
Step-by-step explanation:
Given information: K is the center of the circle. AB is the diameter of the circle.
Angle subtended by a diameter is always a right angle. It the means the measure of that angel is 90 degree.
[tex]\angle C=90^{\circ}[/tex]
According to the angle sum property, the sum of interior angles of a triangle is 180 degree.
Using angle sum property in triangle ABC, we get
[tex]\angle A+\angle B+\angle C=180^{\circ}[/tex]
[tex]75^{\circ}+x+90^{\circ}=180^{\circ}[/tex]
[tex]x=15^{\circ}[/tex]
Therefore the measure of x is 15 degree. Option 4 is correct.
Ms. Jones is ordering pizzas for the school dance. To keep things simple, she plans on only ordering two types, cheese and pepperoni. Each cheese pizza costs $10 and each pepperoni pizza costs $13. The number of cheese pizzas should be more than twice the number of pepperoni pizzas. The school dance budget will allow for no more than $200 to pay for the pizzas. This situation can be modeled by the following system of inequalities.
Answers
x-------------> number of cheese pizza (each cheese pizza costs $10)
y-------------> number of pepperoni pizza (each pepperoni pizza costs $13)
we know that
10x+13y <= $200
x > 2y
the answer is
This situation can be modeled by the following system of inequalities
10x+13y <= $200
x > 2y
using a graph tool
see the attached figure to view the solution of the system of inequalities
You didn't add the system of inequalities. But when you are posting a question and you don't know how to type the question or the answer or if you don't feel like it. Hold down shift, ctrl (control), and the button that divides/spaces each tab out, amd you're screen if go dime so you can highlight a part of the screen so it will take a picture and you can post it.
___________________________
I posted the question and answer below.
!!Hope this helped!!
Please rate "excellent"
Step-by-step explanation:
Answer: In the picture below the correct answer is
D. The system represents the minimum amount that Ms. Jones can spend on cheese pizzas, x, and pepperoni pizzas, y, and the relationship between the number of cheese pizzas and pepperoni pizzas.
In the xy-plane, if (-1, 0) is a solution to the system of inequalities y < x + c and y < -x - d, which of the following must be true about c and d? (10 POINTS + BRAINLIEST ANSWER!!)
A. c = d
B. c = -d
C. c < d
D. d < c
Answers
Final answer:
By substituting the point (-1, 0) into the inequalities, we find that c must be greater than 1, and d must be less than 1, which means the correct answer is D. d < c.
Explanation:
We are given a point (-1, 0) which is a solution to both inequalities y < x + c and y < -x - d. To find the relationship between c and d, let's plug in the x and y values of the point into each inequality.
For y < x + c, with x = -1 and y = 0, we get:
0 < -1 + c
c > 1. (1)
For y < -x - d, with x = -1 and y = 0, we get:
0 < 1 - d
d < 1. (2)
Comparing (1) and (2), we see that c must be greater than 1 and d must be less than 1. Thus, the correct answer is D. d < c.
Evaluate the geometric series
Answers
2^(1-1) + 2^(2-1) + 2^(3-1) + 2^(4-1) + 2^(5-1) + 2^(6-1) + 2^(7-1) + 2^(8-1)
= 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 = 255
Terry just bought a used car with only 28,500 miles on it and it cost $8,200. Every year Terry expects to put another 14,000 miles on the car. Unfortunately, the car’s value will depreciate by 15% per year. How much will the car be worth when it has 100,000 miles on it? Explain your work.
Answers
.. $8200*0.43605 ≈ $3706
_____
The difference between 100k miles and 28.5k miles is 71.5k miles. It is "used up" at the rate of 14k miles per year, so the time it takes to do that is 71.5/14 ≈ 5.1 years.
Each year the car depreciates 15%. That is, its value is multiplied by 1 -15% = 0.85. In 5.1 years, the original value will be multiplied by 0.85^5.1. (Remember, exponentiation is repeated multiplication.)
Hey there! I’m having a bit of trouble with this one, I think I’ve been looking at this for too long. If you could give me an explanation, I would be appreciate it! Thanks in advance! This is a practice test.
Answers
The bisector of an angle of a triangle divides the opposite side into segments that are proportional to the adjacent sides ⇒
AB/BC = AD/DC
36/27 = (42-x)/x
36x = 27(42-x)
36x = 1134 - 27x
36x + 27x = 1134
63x = 1134
x = 1134/63
x = 18
no lo sé, pero como necesito puntos, ¿sí?
1 question need help thank you!!
Answers
____________________________________________________
Explanation:
_____________________________________
Given: " (x + 3)(x – 8) " ; expand :
______________________________________
Note: (a + b) (c + d) = ac + ad + bc + bd .
_____________________________________
a = x ;
b = 3 ;
c = x
d = 8
_______________________________________
" (x + 3)(x – 8) " ;
= (x * x) + ( -8 * x) + ( 3 * x ) + (3 * -8) ;
= x² + (-8x) + 3x + (-24) ;
= x² – 8x + 3x – 24 ;
→ Combine the "like terms" :
– 8x + 3x = – 5x ;
And simplify the expression;
to get:
→ " x² – 5x – 24 " ; which is: Answer choice: [D]: " x² – 5x – 24 " .
________________________________________________________
Can you please help me with this that’ll you so much
Answers
=1/3 + 1/8 + 5/12
need a common denominator (24)
=8/24 + 3/24 + 10/24
=21/24
simplify by 3
=7/8 like basketball, football & soccer
7/8 is the total for basketball, soccer and football. If 8/8 represents the whole class, then subtract 7/8 from 8/8 to find the number who like baseball.
=8/8 - 7/8
=1/8 of the remainder likes baseball
ANSWER: 1/8 of the students like baseball
Hope this helps! :)
What is the measure of AE?
No explanation is needed, also, sorry if the picture is blurry!
Answers
make sure your calculator is in Degree mode.
20 POINTS!! EASY QUESTION! WILL MARK BRAINLIEST!! READ THE INFO! THEN FILL IN THE BLANKS!
The cost for a single class session for each dance class is below.
Clodagh’s Dance = $6.00
New Steps = $7.50
Stepping High = $6.50
The class hours are below.
Clodagh’s Dance = 3:00pm - 4:00pm
New Steps = 4:00pm - 5:30pm
Stepping High = 9:00am - 10:15am
How would these answers change if you were to write the unit rate in cost per hour?
Fill in the blanks!
Dance Classes | Total Hours for Each Payment | Cost Per Hour
| |
Clodagh’s Dance | $6.00 | $6.00
New Steps | $7.50 | _____
Stepping High | $6.50 | _____
Answers
rate=(Type of session)/(time taken)
the rate for:
a]
Clodagh's Dance
Payment=$6.00
Time=1 hours
rate=6/1=6 dollars/hours
b]
New steps
payment=$7.50
Time =1.5 hours
rate=7.5/1.5=5 dollars/hour
c]
Stepping high
Payment=$6.50
Time=1.25 hours
rate=6.5/1.25=5.2 dollars/ hours
Which is the graph of f(x)= square root of x
Answers
The answer for f(x) = sqrt x is the image below. It is neither of these, so check to see if you have more answer choices. (Just make sure to pay attention to the x- and y-values that the graph is plotted on below)
I hope this helps :))
The shortest distance from a point to a straight line is
Answers
PLEASE HELP ASAAAAPPPPPPP
Answers
2^4 = 2 x 2 x 2 x 2 = 16
(q^5)^4 = q^20
16(q^20) = 16q^20
16q^20 is your answer
hope this helps
what transformation changes the graph of y= x^3-x-6 into the graph of y=x^3-x?
Answers
The sum of two consecutive even integers is at most 400. Find the pair of integers with the greatest sum
Answers
The largest pair of consecutive integers are 198 and 200.
Explanation: hope it helpsIf the sum of two equal even numbers is 400, the numbers will be 200+200.
Therefore the largest possible consecutive even numbers which have a sum of 400 or less are 198 and 200 which have a sum of 398.
Any pair of consecutive numbers less than these will have a sum of less than 400.
8.42 x 10^3, Between which of the following pairs of numbers does the above number lie? A. .0083 and .0084 B. .0084 and .0085 C. 8300 and 8400 D. 8400 and 8500
Answers
Use PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)
Solve exponent first
8.42 x 10^3
8.42 x 1000
Solve the rest
8.42 x 1000
8420
8420 is between
D.) 8400 and 8500
The number 8.42 x 10³ lies in between pairs of numbers 8400 and 8500.
Option D is correct.
What is PEDMAS?The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations.
PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.
We have the number 8.42 x 10³.
Now, expanding the exponents we get
= 8.42 x 10³
= 8.42 x 1000
= 84.2 x 100
= 842 x 10
= 8420
Thus, the values lie between 8400 and 8500.
Learn more about PEDMAS here:
https://brainly.com/question/24086845
#SPJ3
Graph the function f(x)= square root over x. Which table of values contains points that lie on the graph of the function?
Answers
Answer:
see attached
Step-by-step explanation:
The square root of a negative number is undefined, so the applicable table is the one shown below.
Answer:
Table 3 represents the correct points that lie on the graph of the function.
Step-by-step explanation:
We are given the function:
[tex]f(x) = \sqrt{x}[/tex]
We have to plot the given function.
The attached image shows the graph for the given function.
Putting values for x in the function we get:
[tex]f(x) = \sqrt{x}\\f(-1) = \sqrt{-1}[/tex]
which is undefined.
[tex]f(0) = \sqrt{0} = 0\\f(1) = \sqrt{1} = 1[/tex]
Table 3 represents the correct points that lie on the graph of the function.
Which of these is equal to sin 21°?
A) cos 21°
B) cos 69°
C) sin 69°
D) tan 69°
Answers
Work Shown:
cos(90-x) = sin(x)
cos(90-21) = sin(21)
cos(69) = sin(21)
Answer:
B. Cos 69°
Step-by-step explanation:
Given : sin 21°
Solution : To show how Cos 69 ° = Sin 21 °
we will use sine and cosine trigonometric identity
i.e. Cos (90 °-x) = Sin x ---(A)
We are given Sin 21 °
So, putting x =21 ° in (A)
We are getting : Cos(90 °-21 °) = Sin 21 °
⇒Cos 69 ° = Sin 21 °
Hence it is shown that Cos 69 ° = Sin 21 °
You read that the median equals 12 on a test, what percentage of the participants had scores higher than 12
Answers
The median cuts the data into two halves, since the median is the center-most value. The scores higher than 12 make up half (50%) of the data while scores less than 12 make up the other 50%
What is the sum of the polynomials (7x^3-4x^2)+(2x^3-4x^2)
Answers
Answer:
9x3 (B)
Step-by-step explanation:
i just took the unit test, it was correct
The sum of the polynomial function is 9x^3 - 8x^2
Sum of polynomial functionsPolynomial functions area function with a leading degree of 3 and above. Given the sum;
(7x^3-4x^2)+(2x^3-4x^2)
Expand
(7x^3-4x^2)+(2x^3-4x^2)
= 7x^3-4x^2 + 2x^3-4x^2
Collect like terms
7x^3 + 2x^3 - 4x^2 -4x^2
9x^3 - 8x^2
Hence the sum of the polynomial function is 9x^3 - 8x^2
Learn more on polynomial here: https://brainly.com/question/2833285
#SPJ6
Evaluate the series 8 simga 5n n=3.In this image, the lower limit of the summation notation is n=3
Answers
The values of n from 3 to 8 are what we substitute into our expression, 5n:
5(3)+5(4)+5(5)+5(6)+5(7)+5(8)
=15+20+25+30+35+40
= 165.
Answer:
The value of [tex]\sum_{n=3}^{8}5n[/tex] is 165.
Step-by-step explanation:
We have to evaluate sigma 5n from n=3 to 8 taht is:
[tex]\sum_{n=3}^{8}5n[/tex]
Thus, substituting the value of n from 3 to 8 in the above equation, we get
=[tex]5(3)+5(4)+5(5)+5(6)+5(7)+5(8)[/tex]
=[tex]15+20+25+30+35+40[/tex]
=[tex]165[/tex]
Thus, the value of [tex]\sum_{n=3}^{8}5n[/tex] is 165.
A small fishing boat's outboard motor requires a mixture of gasoline and oil for fuel. The mixture called for in the owner's manual is 1 gallon of oil for every 50 gallons of gas. If the boat's gas tank holds approximately 6 gallons of gas, approximately how much oil must be added to the gasoline?
3 ounces
9 ounces
15 ounces
24 ounces