Answers
Answer:
[tex]\displaystyle cos\theta = \frac{2\sqrt{13}}{13}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a legb is another legc is the hypotenuse[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] cosθ = adjacent over hypotenuse
Step-by-step explanation:
Step 1: Define
Identify variables
a = 8
b = 12
c
Step 2: Solve for c
Substitute in variables [Pythagorean Theorem]: 8² + 12² = c²Evaluate exponents: 64 + 144 = c²Add: 208 = c²[Equality Property] Square root both sides: √208 = cRewrite: c = √208Simplify: c = 4√13Step 3: Define Pt. 2
Identify variables
Angle θ
Adjacent leg = 8
Hypotenuse = 4√13
Step 4: Find
Substitute in variables [Cosine]: [tex]\displaystyle cos\theta = \frac{8}{4\sqrt{13}}[/tex]Rationalize: [tex]\displaystyle cos\theta = \frac{2\sqrt{13}}{13}[/tex]Answer:
Solution given;
In right angled triangle with respect to θ
perpendicular: opposite side: [P]=12
base:adjacent:[b]=8
hypotenuse [h]=?
cosθ=?
According to the Pythagoras law
h²=p²+b²
h²=12²+8²
h=[tex] \sqrt{208}[/tex]
h=[tex] 4\sqrt{13}[/tex]
Now
we have
Cos θ=[tex]\frac{adjacent}{hypotenuse}[/tex]
Cos θ=[tex]\frac{8}{4\sqrt{13}}[/tex]
by rationalising it
Cos θ= [tex] \frac{2\sqrt{13}}{\sqrt{13}×\sqrt{13}}[/tex]
Cos θ= [tex] \frac{2\sqrt{13}}{13}[/tex]
is a required answer.
Related Questions
What is the k’s meaning in k over 5 = 5
Answers
Answer:
25
Step-by-step explanation
5 times 5 is 25
(To make problems like this easier just multiply the denominator by the result, take this problem for example, the denominator is 5 and the result is 5 so just multiply those and you get 25)
What is the simplified form of the rational expression below?
3^2 - 48/
2^2 + 8x
Answers
Find the mean (average) of {22, 24, 13, 37, 20. 16}
Answers
Median- 21
Range- 24
Minimum- 13
Maximum- 37
The lengths of the 2 diagonal of a rhombus are 24cm and 32cm what is the length of one side of the rhombus.
Answers
Answer:
[tex]height = \frac{24}{2} = 12 \: cm \\ adjacent = \frac{32}{2} = 16 \: cm[/tex]
We get a triangle of height 12 cm and adjacent 16 cm
[tex]side = \sqrt{ {12}^{2} + {16}^{2} } \\ = \sqrt{400} \\ = 20 \: cm[/tex]
Answer:
side=√(24/2)²+(32/2)²
=√12²+16²
=√400
= 20
Find the slope of the line parallel to the line graphed.
A) -1
B) 0
C) 1
D) undefined
Answers
pls help asappp ill put u as brainlist! TYTY
Answers
= 24cm2
I’ll give brainly
Is the following statement
possible or impossible?
A triangle has side lengths of
3, 7, and 10
Answers
Answer:
Possible
Step-by-step explanation:
The rule for triangle side lengths is that the two shortest sides must add up to the longest side so it is possible because
3+7 = 10
Two short sides = The longest side
Answer:
possible
Step-by-step explanation:
3+7= 10
A number is chosen at random from 6 to 25. Find the probability of selecting an even number or multiple of 3.
Answers
Answer:
17/25
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
even numbers between 6 and 25 = 6 8 10 12 14 16 18 20 22 24
multiples of 3 = 6 9 12 15 18 21 24
Jorge's friend Kylie has a garden with 100 flowers in it. Kylie's garden contains tulips and daisies. Is it possible for Kylie's garden to have the same ratio of tulips to daisies as Jorge's garden? Explain why or why not.
Answers
Answer:
Yes, Kylie's can have the same ratio of tulips to daisies as that of Jorge
Step-by-step explanation:
Complete question
Jorge planted flowers in his garden. He planted one row of 12 tulips
and one row of 36 daisies. Jorge's friend Kylie has a garden with 100 flowers in it. Kylie's garden contains tulips and daisies. Is it possible for Kylie's garden to have the same ratio of tulips to daisies as Jorge's garden? Explain why or why not
Solution
Ratio of Tulip to daises in Jorge garden is 12:36 = 1:3
Here the common factor is 12 for numerator and denominator i.e 4 * 3 or 2, 2, 3
Given, Jorge's friend Kylie has a garden with 100 flowers, 100 is divisible by 4 but not 3.
Hence, if we take Ratio of Tulip to daises in Jorge garden as 3:9 (by only removing common factor 4), then the Ratio of Tulip to daises in Kylie garden will have the same ratio is that of Jorge'sgarden
A 170 ft string attached to a kite makes a 40⁰ angle with the ground. What is the height of the kite to the nearest tenth? 130.2 ft 33 ft 142.6 ft 109.3 ft
Answers
Answer:
109.3 ft
Step-by-step explanation:
Remembering SOHCAHTOA
We would be using sin
sin = opposite / hypotenuse
sin 40 = x / 170
0.6428 = x/170
x = 0.6428 x 170 = 109.3 ft
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
look at the photo and solve what goes in the boxes that say choose.
Answers
Answer:
120
Step-by-step explanation:
Split up the boxes to help you achieve the answer.
The marked price of an article is Rs 400. If 5% discount is allowed, how much should
be paid for it?
Answers
Answer:
Rs.380
Step-by-step explanation:
Given data
Price= Rs 400.
Discount= 5%
Let us find the amount of the discount
=5/100*400
=0.05*400
=Rs. 20
Hence the amount that should be paid for it is
=400-20
=Rs.380
SOMEONE PLEASE HELP ME ASAP WITH THIS AND SHOW WORK
Answers
What is the perimeter?
Answers
help me with C please
Answers
Answer:
your answer is going to be b Find the product of A and B
Step-by-step explanation:
Solve for x solve for x please !!!
Answers
Answer:
cos(16°)•10=x
option one: 9.613
Find the distance x rounded to
the nearest tenth.
Answers
Answer:
[tex]x=0.1 ~ft[/tex]
Step-by-step explanation:
[tex]cot30=\frac{B}{H} =\frac{B}{H}[/tex]
[tex]\frac{\sqrt{3} }{2} =\frac{B}{H}=H=\frac{16}{\sqrt{3} }[/tex]
[tex]sin70=\frac{X}{H} =\frac{P}{H}[/tex]
[tex]sin70=\frac{x}{\frac{16}{\sqrt{3} } }[/tex]
[tex]x=\frac{\sqrt{3} }{16 ~sin70}[/tex]
[tex]=0.1152[/tex]
[tex]x=0.1[/tex]
----------------------
hope it helps
have a great day!!
Answer: 9.7
Step-by-step explanation: I got this question right
70+30 = 100
B = 180 - 100 - 20
B = 60°
80+20 = 100
C = 180 - 100 - 30
C = 50
DB/sin100 = 8/sin(60)
8*sin(100)/sin(60)
DB = 9.0973
DC/sin(30) = 8/sin(50)
8*sin(30)/sin(50)
DC = 5.22163
x = [tex]\sqrt{5.22163^{2} +9.0973^{2} -2*5.22163*9.0973*cos(80)[/tex]
x = 9.7
i cant resolve this equation : 2x = -2x + 8, can you help me please
Answers
Answer:
x = 2
Step-by-step explanation:
OK so lets do it together.
2x = -2x + 8
Subtract 8 from both sides
2x - 8 = -2x
Add 2x to both sides
4x - 8 = 0
Add 8 to both sides
4x = 8
Divide each side by 4
x = 2
Check:
4 = -4 + 8
4 = 4
correct
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Which algebraic expression below represents four multiplied by a number?
A. 4 – x
B. x + 4
C. 4x
D.
Answers
Answer:
Step-by-step explanation:
option c is correct
product of two numbers can be written as 4x
Distributiv property of 4x(5+5)
Answers
Answer:
40
Step-by-step explanation:
first you would solve this in the order of operations
parenthesis first so, (5 + 5) is equal to ten
after the parenthesis you multiply so, 4 × 10 = 40
40 is your answer
Answer:
Expanding the bracket using the distributive Property
We have
4(5) + 4(5)
=20 + 20
=40
A right triangle is shown below. What is the length of the side X, to the nearest tenth of a centimeter?
Answers
9×9+6×6
81+36
√117
10.816
nearest tenth=10.8cm
The base of a prism is a square 7 cm on a side. The height of the prism is 10 cm. The volume is _?_ cm3.
Answers
Answer:
70 cm^3
hope this helps
have a good day :)
Step-by-step explanation:
base=length and width so 7 x 10=70 cm3
How does the product of two fractions less
than 1 compare with the two fractions
being multiplied? Is the product greater
than, less than, or equal to each fraction?
How do you know?
Answers
Answer:
Less than
Step-by-step explanation:
EX:
1/2 * 1/2 = 1/4
1*1 = 1
2*2 = 4
when you multiply two fractions, you get a fraction of a fraction.
please. i am hanging on by a thread.
Answers
Answer:
x=6
Step-by-step explanation:
9(10)=15(×)
90=15×
90÷15=6
A swimming pool has a gradual slope to the deep end. It forms a triangular prism. If the pool is filled to the very edge, then how many cubic feet of water does the pool hold?
Answers
explanation:
i
Un cuerpo de 180 kg se debe lanzar hacia una distancia de 25 m. ¿Qué valor tiene el trabajo que se realiza al lanzarlo?
Answers
Answer:
45, 000 J o 45 KJ
Step-by-step explanation:
Recordemos que trabajo realizado = fuerza * distancia
En este caso, fuerza = peso del objeto
Por lo tanto, peso del objeto = 180 Kg * 10ms ^ 2 = 1800 N
Por eso;
Trabajo realizado = 1800 N * 25 m = 45, 000 J o 45 KJ
The vertices of rectangle ‘ABCD’ are A(3, 1), B(-5, 1),
C(-5, -3), and D. What are the coordinates of D?
- (3,-3)
-(-3,3)
-(3,3)
-(-3,-3)
Answers
Answer:
C (3;-3)
Step-by-step explanation:
when you put the points on the orthonormal, try to write the parallel of BD, passing through A. then the parallel of AB passing through D. you will detect that it's a rectangle that have 4 angles. which is correct
I hope you would try it on your paper and am glad I helped
Which of these numbers is composite? Choose 1 answer: Choose 1 answer: (Choice A) A 3 (Choice B) B 23 (Choice C) C 29 (Choice D) D 41 (Choice E) E 87
Answers
Answer:
e) 87
Step-by-step explanation:
Required
Select the composite number
A composite number is such that: they have more than 2 factors
Factorizing each of the given numbers, we have:
[tex](a)\ 3 = 1 * 3[/tex]
[tex](b)\ 23 = 1 * 23[/tex]
[tex](c)\ 29 = 1 * 29[/tex]
[tex](d)\ 41 = 1 * 41\\[/tex]
[tex](e)\ 87 = 1 * 3 * 29[/tex]
Only (e) has more than 2 factors. Hence (e) is composite
A company determined it could use equation y = -25/3x + 250,000 to predict its total number of customers, y, based on the number of days x. What is the meaning of the slop of this function
Answers
Answer:
The slope is meant to show the relationship between the x(number of days) variable and the y (total number of customers) variable.
When the number is positive, it means that both x and y move in the same direction which means that as x increases, so does y.
When this number is negative, it means that hen x increases, y decreases.
In this scenario therefore, as the number of days increases, the total number of customers decreases.
What is the sum of the interior
angles of the polygon shown below?