Answers
Answer:
Step-by-step explanation:
Cos(Ф) = Adj / Hyp
Cos(Ф) = Adj / 5
use Pythagoras's
[tex]5^{2}[/tex] = [tex]2^{2}[/tex] +[tex]x^{2}[/tex]
25 - 4 = [tex]x^{2}[/tex]
21 = [tex]x^{2}[/tex]
[tex]\sqrt{21}[/tex] = x
Cos(Ф) = [tex]\sqrt{21}[/tex] / 5
(using the square root means the answer is exact. so leave it like that.)
Related Questions
given that sin(x+4)=cos(3x)find tan(x+40)to 4 s.f.
Answers
Answer:
[tex]\tan(x + 40) = 1.842[/tex]
Step-by-step explanation:
Given
[tex]\sin(x + 4) = \cos(3x)[/tex]
Required
Find [tex]\tan(x + 40)[/tex]
In trigonometry
If [tex]\sin(A) = \cos(B)[/tex]
Then: [tex]A + B = 90[/tex]
So, we have:
[tex]\sin(x + 4) = \cos(3x)[/tex]
[tex]3x + x + 4 = 90[/tex]
[tex]4x + 4 = 90[/tex]
Collect like terms
[tex]4x =- 4 + 90[/tex]
[tex]4x =86[/tex]
Solve for x
[tex]x = 86/4[/tex]
[tex]x = 21.5[/tex]
So:
[tex]\tan(x + 40) = \tan(21.5+40)[/tex]
[tex]\tan(x + 40) = \tan(61.5)[/tex]
Using a calculator:
[tex]\tan(x + 40) = 1.842[/tex]
I NEED HELP Quadratics and Their Solutions
Answers
2nd one is 4th image
3 one is 5th image
4 is 3rd image
5th is 1st image
Use the distributive property to expand -4 (-2+3x). Which is an equivalent expression?
-8/5 + 12x
-8/5 - 12x
8/5 + 12x
8/5 - 12x
Answers
Answer:
The answer should be 8-12x......if i take a wild guess out of your answer choices, would say C.
Step-by-step explanation:
-4 (-2+3x)
[carry over the -4 to (-2) and (3x) ]
8-12x
hello please help i’ll give brainliest
Answers
Answer:
1
Step-by-step explanation:
Please answer this question correctly
Answers
Answer:
6
Step-by-step explanation:
Answer: GE=6
Step-by-step explanation:
what does T equal?? pls help
Answers
PLEASE HELP!!!!! Thank you!! Will mark brainliest!!! | x+14 | = 14 | x-14 | = 14 | x+8| = x+8
Answers
Answer:
Calculate it or something LOL
Step-by-step explanation:
inputs and outputs of organizational system
Answers
Answer:
Inputs are the conditions that exist prior to group activity, whereas processes are the interactions among group members. Outputs are the results of group activity that are valued by the team or the organization.
Step-by-step explanation:
please mark this answer as brainliest
WRITE AN EQUATION THAT MATCHES THE STORY!! Five students came for after-
school tutoring. Priya's teacher assigned each of them the same number of
problems to complete. Then she assigned 2 more problems to one of the
students. 27 problems were assigned in all.
Answers
Answer:
5 + 2 = 27
Step-by-step explanation:
Answer:
let's take s as student
let's take p as problem
sp as student that has gotten a problem
1s × 5p + 1s × 5p + 1s × 5p + 1s × 5p + 1s × 5p
5sp + 5sp + 5sp + 5sp + 1s × 5p + 2p
20sp + 1s × 7p
20sp + 7sp
27sp
The area of the surface of an office desk is 10 square feet. The perimeter is 14 feet. What are the dimensions of the desk?
Answers
Answer:
5ft and 2ft
Step-by-step explanation:
Area = bh or lw
Perimeter = 2(l) + 2(w)
Find factors of 10: 1, 2, 5, 10
1 and 10 is not right because Perimeter would be too big and not equal 14)
2(5) + 2(2) = 10+ 4 = 14 (Perimeter Matches)
help appreciated xx
:)
Answers
Answer:
13pts
Step-by-step explanation:
If you're asking how many pints 6 qt and 1 or is then I believe it is 13 pt
If using the method of completing the square to solve the quadratic equation x^2-9x+2=0x 2 −9x+2=0, which number would have to be added to "complete the square"?
Answers
Answer:
The number to be added is 81/4
Step-by-step explanation:
To get the number, we look at the coefficient of x
In this case, we have it as -9
we divide this by 2
It gives (-9/2)
We square this value and add it to both sides
This would be
(-9/2)^2 = 81/4
It is this number we will add to both sides of the equation
PLEASE HELP ME!!!!!!!!!!!
Answers
Answer:
Yes.
Step-by-step explanation:
In order to form a triangle the sum of two sides should exceed the third side.
so here the given measurements fulfill this statement so
with the given lengths ; 15, 12 , 9 can form a triangle.
if y varies inversely a X², how dose x varies with y
Answers
[tex]\mathbb{ANSWER:}[/tex]
We can write the equation of variation as [tex]\sf y = \frac{k}{x^2}[/tex] since [tex]\sf y \propto \frac{1}{x^2}[/tex]. The independent variable is y while the dependent variable is x^2. The variable k denotes the constant of proportionality.
What is the name of side "a" in the right triangle below?
Answers
Answer:
A
Step-by-step explanation:
Its a leg.
Answer:
A
Step-by-step explanation:
both a and b are legs. c would be the hypotenuse because it is across from the right angle.
In the parallelogram below,
z = [ ?]
124°
2z+16
Answers
124-16=108
108/2=54
Enrique has a recipe for fruit punch that uses 12 cups of pineapple juice. He wants triple the recipe for a family party. How many quarts of pineapple juice died Enrique need for the party?
A. 9
B.10
C.36
D.4
Answers
Answer:
A. 9 quarts
Step-by-step explanation:
Since he wants to triple the recipe you would multiply the 12 cups by 3 to get 36 cups and then you would convert the cups into quarts and 36 cups is equal to 9 quarts
For this parallelogram (a) choose the best name and then (b) find the value of x and y.
Answers
Answer:
rhombus
3x + 6 = 90
3x = 84
x = 28
there is no y
A rectangle is divided into 8 equal parts. Two parts are shaded. What fraction is equvalent to the shaded area of the rectangle.
Answers
Answer: 1/4
Step-by-step explanation:
Since the rectangle is divided into 8 equal parts and two parts are shaded, this simply means that 2 out of 8 parts are shaded which is 2/8.
The fraction that's equvalent to the shaded area of the rectangle will be:
2/8 = (2 × 1) / (2 × 4) = 1/4
The equivalent fraction is 1/4
What is 165 rounded to the nearest ten?
Answers
Answer:
170
Step-by-step explanation:
5 and up you round up and 4 and below round down.
Look at the six then look at the number to the right, 5.
So, you round up to 170 instead of 160.
please answer this I will give brainliest and you get 20 points
Answers
JUBILANT
Step-by-step explanation:
Answer:
Jublinant
Step-by-step explanation:
Number 5 reason +++++++
Answers
Answer:
it's reason is : given BAD =CAD
Find the measure of angle K.
Answers
Answer:
K = 97 degrees
Step-by-step explanation:
The four interior angles of a quadrilateral is always equal to 360 degrees.
127 + 88 = 215
(10x + 7) + (5x + 3) = 15x + 10
360 - 215 = 145
145 = 15x + 10
130 = 15x
9 = x
k = 10x + 7
k = 10(9) + 7
k = 97
Four buses were filled with children and 20 children rode in cars for a field trip. If each bus can hold 58 children, how many went on the field trip?
Answers
Which expression is equivalent to "the fifth power of (5 + 7)"?
A 12⁵
B. 7⁵
c. 12⁷
D. 5(5 + 7)
no links please
Answers
Answer:
12^5
Step-by-step explanation:
5 + 7 = 12
therefore 12^5 is the same as (5+7)^5
Answer:
[tex]12^5[/tex]
Step-by-step explanation:
[tex]5+7=12\\[/tex]
To the fifth power means [tex]x^5[/tex]
so our number is 12 here making it [tex]12^5[/tex]
PLSSSSS HELPPP ASAP WILL GIVE BRAINLEAST 10 POINTS!!
A.The perimeter of ABCD is larger than the perimeter of PQRS.
B.The perimeter of ABCD is smaller than the perimeter of PQRS.
C.The perimeter of ABCD is the same as the perimeter of PQRS.
Answers
He figures that the treasure is 3 units either to the east or south of the location of the last clue Which of these could be the location of the treasure?
А.
point (1.4) or point (-2.1)
В.
point (-5,4) or point (-2,1)
C.
point (1.4) or point (-2,7)
Answers
Answer:
a
Step-by-step explanation:
I did it on a graph
also sorry about the comment earlier my page wasn't syncing
A warehouse has large boxes containing video game systems and small boxes containing video game discs. Three large boxes of video game systems and one small box of games weigh 48 pounds. Two large boxes of video game systems and five small boxes of games weigh 58 pounds. How much does a box of video game systems (large) weigh? How much does a box of games (small) weigh?
Answers
Answer:
big box is 14 pounds
small box is 6 pounds
The area of a room is represented by the trinomial 3x^2-x-10. If the width of the area is represented by x-2, find the expression that represents the length of the room
Answers
Answer:
l = (3x+5)
Step-by-step explanation:
Given that,
The area of a room, [tex]A=3x^2-x-10[/tex]
The width of the room, [tex]b=(x-2)[/tex]
We need to find the length of the room.
The area of the room is given by :
A = lb
[tex]l=\dfrac{A}{b}\\\\l=\dfrac{3x^2-x-10}{x-2}\\\\l=\dfrac{(x-2)(3x+5)}{x-2}\\\\l=(3x+5)[/tex]
So, the length of the room is equal to (3x+5).
The number of members in an organization, M, changes as a function of t months. In which situation is M a linear function of t?
The membership doubles every year from the previous year.
1.The membership doubles every year from the previous year.
2.The membership increases by 1% every month from the previous month.
3.The membership decreases by 20 members every month from the previous month.
4.The membership increases by 50 members in each of the six warmest months and decreases by 50 members in each of the other six months.The membership doubles every year from the previous year.
Answers
Answer: D. The membership increases by 50 members in each of the six warmest months and decreases by 50 members in each of the other six months.
Step-by-step explanation: Because it is a linear function it needs to fluctuate so by using process of elimination D is the only answer that would look like a linear function by having that curved line we are looking for in a function.