Question 23 of 25
Find x. Round your answer to the nearest integer.
15
37
х
O
A. 6
B. 9
0 o o
C. 12
D. 8
Answers
Answer:
[tex]x[/tex] rounded to the nearest integer would be 12.
Step-by-step explanation:
In order to calculate the length of [tex]x[/tex], you can use the law of sines, a trigonometry rule used to solve the angles and sides of a right triangle. The law of sines states that the sine of an angle in a triangle divided by its opposite side is equivalent to all other angles taken to their sines and divided by their opposite sides. Using this rule, we can now calculate the length of [tex]x[/tex]. In this case, [tex]\frac{sin(90^{o})}{15} = \frac{sin(53^{o})}{x}[/tex] ⇒ [tex]\frac{15}{sin(90^{o})} = \frac{x}{sin(53^{o})}[/tex] ⇒ [tex]x=\frac{15*sin(53^{o})}{sin(90^{o})}[/tex] ⇒ [tex]x=15*sin(53^{o} )[/tex] ⇒ [tex]x[/tex] ≈ 12. So side [tex]x[/tex] rounded to the nearest integer would be 12.
The value of x in the given triangle is 12, Option C is correct.
The given triangle is a right angled triangle.
We need to find the value of x.
We know that cosx is adjacent side by hypotenuse.
Cos 37 = Adjacent side/ Hypotenuse
The value of cos37 degrees is 0.7654
0.7654 = x/15
15×0.7654=x
11.5 =x
12=x
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Related Questions
Similar Triangles
A triangle has two angles measuring 90° and 50°, calculate the third angle of the triangle.
a. 50°
b. 40°
c. 45°
d. 75°
Please select the best answer from the choices provided
Answers
Answer:
B. 40°
Step-by-step explanation:
I calculated it logically
Suppose $3500 is invested at a rate of 5% per year compounded monthly.
Answers
What is the volume of a cone with a radius of 8.7 inches and height of 14 inches? (Use 3.14
for N)
Answers
Answer:
1109.1cm³
Step-by-step explanation:
V
=
π
r
2
h
3
3.14 ×8.7² × 14/3
I need help please this isath i need my grade thx alot
Answers
Answer:
A, -475ft
Step-by-step explanation:
Answer: -475 ft
Step-by-step explanation: -95 x 5= -475
No random answers or links, please.
Answers
Answer:
1
Step-by-step explanation:
By question it's given that ,
=> h(x) = -x - 1
For finding h(-2) , substitute x = -2 .=> h(-2) = -(-2)-1
=> h(-2) = 2 - 1
=> h(-2) = 1
Hence the required answer is 1.Answer:
the ans is 1 hope ut may help u
Step-by-step explanation:
x=-2
x = -(-2) -1
x=2-1
x=+1
A bag contains 56 marbles: 7 red, green, 11 yellow, 17 brown, and 13 blue.
If a marble is chosen at random, what is the probability that the marble is green?
Answers
Answer:
8/56
Step-by-step explanation:
Add up all other marble colors then find the difference from the total.
Answer:
1/7
Step-by-step explanation:
there are 8 green marbles out of 56 so the probability would be 8/56 which simpliefies to 1/7 or 14.285714%
CAN SOME OME ANSWER A AND B PLEASE!!z
Answers
(3b) -3/4 is less than -2/3. We can find this by converting the fractions into decimals. -3/4 = -.75 -2/3 = -.66
Which BEST describes the system of equations graphed on a coordinate plane?
A) Consistent
B) Inconsistent
C) Consistent and Dependent
D) Consistent and Independent
Answers
Answer:
D) Consistent and Independent
Answer:
D.consistent and independent
Components of a certain type are shipped to a supplier in batches of ten. Suppose that 50% of all such batches contain no defective components, 35% contain one defective component, and 15% contain two defective components. Two components from a batch are randomly selected and tested. What are the probabilities associated with 0, 1, and 2 defective components being in the batch under each of the following conditions?
a. Neither tested component is defective.
b. One of the two tested components is defective
Answers
Answer:
a) P (0 defective component) = 0.5
P( 1 defective component ) = 0.35
P( 2 defective component ) = 0.15
b) P( 0 ) = 0
p ( 1 ) = 1
p ( 2 ) = 0.33
Step-by-step explanation:
p( no defective ) = 0.5
p( 1 is defective ) = 0.35
p( 2 is defective ) = 0.15
Given that 2 components are selected at random
a) Given that neither component is defective
Probability of 0 defective component = 0.5
P( 1 defective component ) = 0.35
P( 2 defective component ) = 0.15
b) Given that one of the two tested component is defective
P( 0 defective ) = 0
P( 1 defective ) = P ( [tex]\frac{x=1}{x\geq 1}[/tex] ) = p( x = 1 ) / 1 - P ( x = 0 )
= ( 0.5 )^1 ( 0.5 )^0 / 1 - ( 0.5)^0 (0.5)^1
= 0.5 * 1 / 1 - 0.5 = 0.5 / 0.5 = 1
p ( 2 defective ) = p( x = 3 ) / 1 - P ( x = 0 )
= ( 0.5 )^2 ( 0.5 )^0 / 1 - ( 0.5)^0 (0.5)^2
= 0.25 / 0.75 = 0.33
Lauren is making string bracelets with black and silver beads added in for decoration.
Black beads come in packages of 24, and silver beads come in packages of 36.
Each bracelet will have the same number of each color bead.
Lauren has one package of each bead color, and she will use all of the beads.
What is the greatest number of bracelets Lauren can make?
Answers
The greatest number of bracelets Lauren can make using the black beads and the silver beads is 12.
What is the greatest number of bracelets that can be made?In order to determine the greatest number of bracelets that can be made, the highest common factor of both numbers have to be determined.
Highest common factor is the highest factor that is common to two or more numbers
Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24Factors of 36 = 1, 2, 3, 4, 6, 12, 18, 36 Highest common factor = 12To learn more about highest common factor, please check: https://brainly.com/question/26073850
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Help plz:)))I’ll mark u Brainliest
Answers
Answer:
= 110 g AgCl
Step-by-step explanation:
NaCl + Ag(NO3) → AgCl + NaNO3
↓ ↑
mol → mol
NaCl AgCl
[tex]\frac{45 g NaCl }{} \frac{1 mol NaCl}{57.44 g NaCl} \frac{1 mol AgCl}{1 mol NaCl } \frac{143.87 g AgCl}{1 mol AgCl} == 110 g AgCl[/tex]
Complete the square
to find the vertex
of this parabola.
2
x - 4y-12 x +68=0
Answers
Answer: (6,8)
Step-by-step explanation:
Answer:
(6, 8)
Step-by-step explanation:
2. A movie theater charges $15 for adults and children and $10 for seniors. A
total of $1,270 was collected for movie ticket sales one night for a selected
movie. The total number of tickets sold for that movie was 93. How many
adult and senior tickets were sold?
b. Write the equations:
Answers
Answer:
A. Adult=68, seniors=25B. 10a + 10s=1270. a + s=93
Step-by-step explanation:
15a + 10s =1270 equation 1
a + s =93 equation 2
a=93-s. Isolate a for equation 2
15(93-s) + 10s =1270 substitute value of a in equation 2 (93-s) with value of a in equation 1
1395-15s+10s=1270
-5s=-125
S=25
solve for a
a + s =93
a + 25=93
a=68
‘check answer
15a + 10s=1270
15(68) + 10(25)=1270
1020+ 250=1270
Jamal needs several feet of wood for a birdhouse
project. He already has 12 yards. How many feet are
in 12 yards?
Answers
Answer:
36
Step-by-step explanation:
multiple by the length value by 3
what the the opposite of - 4.1 ?
Answers
Answer:
The opposite of -4.1 is 4.1.
opposites are the same number but either with a + sign or a - sign
EX)
7, -7
5, -5
4, -4
ILL GIVE BRAINLIEST
YOUR FRIEND JUST OPENED THEIR FIRST CREDIT CARD WHAT ADVICE WOULD YOU GIVE THEM BEFORE THEY START MAKING PURCHASES?
Answers
Answer:
I would tell them to buy a ps5 for me
Step-by-step explanation:
For a credit card be careful with what you buy, save it for the important stuff. Also make sure to constantly check your credit score and to check your purchases to make sure that only what you purchased is on there.
solve for x if 2(1+3x) =3
Answers
Answer:
x is 5
Step-by-step explanation:
Solve the rational equation:
1 1 1
x-2x+3 5
O A. X=-6.09, x= 5.09
B. There is no solution.
O C. x=-3.09, x= 2.09
D. X=-3, x= 2
Answers
………………. ……………
The solutions for the equation 23 - x² - 2x = 0 are:
x = 4
x = -6
Option A is the correct answer.
We have,
To solve the rational equation:
1/(x - 1) - 1/(x + 3) - 1/5 = 0
We need to find the common denominator and combine the fractions on the left-hand side.
The common denominator is (x - 1)(x + 3)(5).
Multiplying each term by the common denominator:
[(x + 3)(5) - (x - 1)(5) - (x - 1)(x + 3)] / [(x - 1)(x + 3)(5)] = 0
Simplifying:
[5(x + 3) - 5(x - 1) - (x - 1)(x + 3)] / [(x - 1)(x + 3)(5)] = 0
[5x + 15 - 5x + 5 - (x² + 3x - x - 3)] / [(x - 1)(x + 3)(5)] = 0
[5x + 15 - 5x + 5 - x² - 3x + x + 3 ] / [(x - 1)(x + 3)(5)] = 0
Simplifying further:
[23 - x² - 2x ] / [(x - 1)(x + 3)(5)] = 0
Now, we set the numerator equal to zero since a fraction is zero if and only if its numerator is zero:
23 - x² - 2x = 0
To solve the quadratic equation 23 - x² - 2x = 0, we can rearrange it to the standard form:
x² + 2x - 23 = 0
Now, we can solve it using factoring, completing the square, or the quadratic formula. Let's solve it using the quadratic formula:
The quadratic formula states that for an equation in the form
ax² + bx + c = 0, the solutions for x are given by:
x = (-b ± √(b² - 4ac)) / (2a)
For our equation x² + 2x - 23 = 0, the coefficients are a = 1, b = 2, and
c = -23.
Substituting these values into the quadratic formula:
x = (-2 ± √(2² - 4(1)(-23))) / (2(1))
Simplifying:
x = (-2 ± √(4 + 92)) / 2
x = (-2 ± √96) / 2
x = (-2 ± 4√6) / 2
Simplifying further:
x = -1 ± 2√6
Therefore,
The solutions for the equation 23 - x² - 2x = 0 are:
x = -1 + 2√6 = 3.89 = 4
x = -1 - 2√6 = -5.89 = -6
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I need the answer pls fast
Answers
Answer:
B. 215cm^2
Step-by-step explanation:
180 + 35
Answer: B. 215
Step-by-step explanation:
I found the answer button.
The full height is 20, and the height of the parallelogram is 10. So that means the triangles height is 20-10=10. The top and bottom sides of a parallelogram are the same, so the base of the triangle is 18-(6+5)=7. So the area of the triangle is (7x10)/2=35. The area of a parallelogram can be count that same way as a regular rectangle. So 18x10=180. Putting those two together, 35+180=215.
Plz help me well mark brainliest if you are correct!!....
Answers
Answer:
9
Step-by-step explanation:
the two lines on either sign of each number indicate absolute value, which is the numbers value from 0 (on a number line). You turn -12 and -3 into 12 and 3 and subtract as normal.
The absolute value of -12 is 12 and the absolute value of -3 is 3. So, |-12| - |-3| = 12 - 3 = 9
A model of a house uses a scale of 1 inch : 5 feet. The height of the model is 5 5/8
inches. What is the height of the actual house?
Answers
Answer:
scale = 1 in: 5 ft
= 1inch x 5 5/8 = 5.625
5 ft x 5 5/8 28.125 ft
The actual height of the house is 28.125 ft
When factored completely, the expression p4 - 81 is equivalent to ....
1. (p2+9)(p2-9)
2. (p2-9)(p2-9)
3. (p2+9)(p+3)(p-3)
4. (p+3)(p-3)(p+3)(p-3)
Answers
need help ASAP !! A line segment has endpoints(3,14) and (3,22) which of the following statements is true?
Answers
Answer:
the answer is b. the segment has a length of 8 units vertical.
Step-by-step explanation:
Agree or Disagree? plz help no link plz
Answers
Answer:
Agree
Step-by-step explanation:
Curts kite is 36 yards above the ground and directly above the tree. The length of the string from Curt to the kite is 49 yards. How far is Curt from the tree?
Answers
Answer:
about 33.24 yards
Step-by-step explanation:
a² + b² = c²
so, 36² + b² = 49²
1296 + b² = 2401
b² = 1105
Take the square root of both sides..
b = 33.24 yards
Someone please help me!!!!!
Answers
Here is your answer wish you good luck
What is the correct answer I will mark brainlist
Answers
Answer:
3rd
Step-by-step explanation:
MARK AS BRAINLEST!!
a bit of help here! Ill give branliest! :)
Answers
Answer:
whats the question?
Step-by-step explanation:
A company has 200 employees. There are 150 female employees. There are 40 employees who are under the age of 30. The probability
of randomly selecting an employee who is female or is under the age of 30 is 85%.
What is the probability of randomly selecting an employee who is female and under the age of 30?
O A 10%
O B. 20%
O c. 85%
OD. 95%
Answers
Answer:
c. 85 % is the probability
Joey opened a bank account 5 years ago with $100.
Today he has $1,000 in the account.
What is the percentage of increase?
_____%