Answers
We can solve this using trigonometric functions. We will be referring to the 70 degree angle. We need to solve for the hypotenuse. We have the length of the opposite side and need to find the hypotenuse. Therefore, we use the sine.
sin70=12/x
Since we cannot immediately solve for x, we will simplify this equation. We multiply both sides by x.
x(sin70)=12
Divide both sides by sin70.
x=12/sin70
Now we solve this equation.
12/sin70≈15.51
Therefore, x=15.51 cm.
I hope this helps!
x=15.51cm
70+90+x=180
Related Questions
Which statement is true about the circumference of a circle?
The circumference is the measurement around the circle.
The circumference is the measurement of the radius.
The circumference is the measurement of the diameter.
The circumference is double the radius.
Answers
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
circumference of a circle:-The circumference is the measurement around the circle.
If a rectangle measures 8 feet on the short side and 9.8 feet on the long side what is the area of the rectangle in square feet
Answers
where
[tex]A[/tex] is the area of the rectangle
[tex]w[/tex] is the width of the rectangle
[tex]l[/tex] is the length of the rectangle
Since the short side of a rectangle is the width of the rectangle, [tex]w=8ft[/tex]. Similarly, the long side a rectangle is the length of the rectangle, so [tex]l=9.8ft[/tex]. Now we can replace those values in our formula to find [tex]A[/tex]:
[tex]A=wl[/tex]
[tex]A=(8ft)(9.8ft)[/tex]
[tex]A=78.4ft^2[/tex]
We can conclude that the area of our rectangle is 78.4 square feet.
The ratio of gold charms to silver charms is 1:3. Which statement does not describe the relationship?
Answers
The ratio of gold charms to silver charms is 1:3, with 1 representing the number of gold charms and 3 representing the number of silver charms. The statement that does not describe the relationship is the one that does not accurately represent this ratio.
Explanation:The ratio of gold charms to silver charms is 1:3. In this ratio, the first number (1) represents the number of gold charms, and the second number (3) represents the number of silver charms. Therefore, the statement that does not describe the relationship is the one that does not accurately represent this ratio.
What is the constant of proportionality in the equation 6y=3x6y=3x6, y, equals, 3, x?
Answers
6y = 3x
From here, we must clear the value of y.
We have then:
y = (3/6) x
Rewriting we have:
y = (1/2) x
The proportionality constant is:
k = 1/2
Answer:
the constant of proportionality in the equation 6y = 3x is:
1/2
You roll two 6-sided dice. what is the probability that both dice have even numbers?
Answers
2 4 6 and 2 4 6. Duplicates are allowed.
There are 36 combinations
The number of successes is 3 * 3 = 9
The probability is 9/36 = 1/4.
g(x)=4x^2-3x+7
find g(3)
Answers
So here You go,
4(3²) -3(3)+7 i.e. __________34
HOPE THIS HELPS
find g(3)
Answer:
Plug it in:
g(3) = 4(3)^2 - 3(3) + 7
g = 4(9) - 9 + 7
simplify:
g = 36 - 9 + 7
g = 34 <<<< the answer to this.
Hope this helped!
~Shane
How do you work with bidmas?
Answers
BIDMAS
1) Brackets
2) Indices
3) Division and Multiplication. Start on the left and work them out in the order that you find them
4) Addition and Subtraction. When only addition and subtraction are left in the sum work them out in the order you find them. starting from the left of the sum and working towards the right.
Bob is opening a store that will sell various kinds of fish and plants for aquariums. To start, he is organizing the fish and plants in the aquariums at the front of the store. He has 24 fish, 18 plants, and 5 fish tanks for the front of the store. He wants to divide the fish among the fish tanks as evenly as possible. He wants to put the plants only in the outer four fish tanks.
Answers
Answer:
4 tanks will have four meanwhile 1 tank will have 5. also there will be 3 plants in the tanks meanwhile only 1 tank will have 4.
Step-by-step explanation:
im bad at everything so its likly wrong
What are the approximate solutions of 4x^2 + 2x = 17, rounded to the nearest hundredth?
A: x ≈ −2.33 and x ≈ 1.83
B: x ≈ −1.83 and x ≈ 2.33
C: x ≈ −9.31 and x ≈ 7.31
D: No real solutions
Answers
Answer is B
x = -1.826 x = 2.326
Rounded to the nearest thousandth x = -1.83 and x = 2.33
Kyle was playing a new video game.He scored 128 points on his first game.He scored 305 points on his second game,and 490 on his third game.how many points did Kyle score?
Answers
Second game= 305
Third game= 490
Add the points per game together.
= 128 + 305 + 490
= 923 points
ANSWER: He scored 923 points during the three games.
Hope this helps! :)
Kyle scored a total of 923 points after playing all the three games.
What is addition ?Addition is defined as combining two or more number together.
Given is Kyle who is playing a new video game. He scored 128 points on his first game, 305 points on his second and 490 points on his third game
The total points scored by Kyle will be the sum of the individual points in each game. Therefore, adding each set of points, we get -
P[T] = 128 + 305 + 490 = 923 points.
Therefore, Kyle scored a total of 923 points after playing all the three games.
To solve more questions on Arithmetic operations, visit the link below-
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I can't figure out how to solve this
Answers
Because angle ATN is 70 degrees, then angle ANT is also 70 degrees
The 3 inside angles of a triangle = 180 degrees,
so angle A would = 180 - 70 - 70
Angle A = 180 -70-70 = 40 degrees
The ratio of the height of a wall to the length of the wall is 2:3. the area of the wall is 384 sq. ft. what are the height and length of the wall?
Answers
The dimensions of the wall are found by defining variables based on the given ratio and area, resulting in a height of 16 ft and a length of 24 ft.
The question involves finding the dimensions of a wall given the ratio of its height to length and its total area. To solve this, let's denote the height of the wall as 2x and the length of the wall as 3x, based on the ratio 2:3. The area of the wall is the product of its height and length, which means (2x) ×(3x) = 384 sq. ft.
Now, by simplifying the equation, we get [tex]6x^2[/tex] = 384. Dividing both sides by 6 gives us [tex]x^2[/tex] = 64. Taking the square root of both sides, we find x = 8. Therefore, the height of the wall is 2x = 16 ft and the length of the wall is 3x = 24 ft.
One painter can paint a house in 12 hours another can paint the house in 8 hours, how long will it take for both of them to paint 1 house
Answers
You can get this by setting up the equation:
x/8 + x/12 = 1
Where x is equal to the amount of hours spent working. In this equation x/4 would be the first painter. In 8 hours he would paint on room. x/12 would be the second painter. When you add them together using common denominators, you can find x.
Natasha wants to use the fermi process to estimate the number of pennies that would fill a toy chest. as part of the process, she needs to estimate the volume of the toy chest. she figures the toy chest is about 50 in. long, 20 in. wide, and 20 in. tall. which estimate best approximates the volume of the toy chest? 2×103 in³ 2×104 in³ 2×105 in³ 2×106 in³
Answers
Answer:
Dimension of toy chest
Length =50 inches
Width = 20 inches
Height = 20 inches
Volume of toy chest = Length × Breadth ×Height
= 50 ×20 × 20
= 1000 × 20
= 20,000 inches cube.
[tex]=2\times 10^4 inches ^3[/tex] appears best approximation.
Option B
Please help I really need an answer fast!!!
A, toy company manufactures arcade games. They are marketing a new pinball machine to children. It is similar in size to the adult version of the same game.
Adult pinball machine GAME with base ME measuring 35 inches and sides measuring 56 inches. Child pinball machine G prime A prime M prime E prime with base M prime E prime measuring 14 inches
If the perimeter of the adult pinball machine is 167 inches, what is the length, in inches of Segment line G prime A prime? Type the numeric answer only in the box below.
Answers
first of all you need to find the missing length on the adult version.
so the work would be:
-add up all the known sides of adult so
(56+56+35)=147
-then take the total perimeter and subtract so
167-147=20
-then you need to compare the two known sides of both the adult and kids version. so that would be the bottom line EM.
They are 35 and 14 so divide
35/14=2.5
Now you know the dilation so you can figure out the missing side GA on the childs by taking the missing side from the adult dividing by the dilation 2.5 to get the answer so
20/2.5= 8
the answer is 8.
I got this correct on the quiz.
In afamily with 3 children, what is the probability that they have 2 boys and 1 girl
Answers
everytime u look the word *and* just multiply the probability but if u see the word *or* then add the probability.
This circle and x + 2y = 12 create a system of equations. Find all solutions, if any, of the resulting system. There are no solutions (0, 6) and (12, 0) (0, 5) and (12, 0) (0, 5) and (5, 0)
Answers
Answer:
C. (0.5)&(12.0)
Step-by-step explanation:
What is the GCF of the terms in 4a^4+6a^2?
Answers
In this case it would be the biggest number that goes into 4 and 6 which is 2.
The first half of you answer is 2
The second half means the most amount of a’s that can go into the biggest number of a’s (doesn’t multiply)
Example:
a^4 means there are 4 a’s multiplying
a^2 means there are 2 a’s multiplying
a*a*a*a
a*a
Going back to the most amount a’s going into the biggest number of a’s means that in this equation the most amount of a’s that go into the biggest number of a’s is a^2.
Your answer is 2a^2
The GCF (Greatest Common Factor) of the terms in the algebraic expression 4a^4+6a^2 is found by observing the numerical coefficients (4 and 6) and the variables (a^4 and a^2). The GCF of 4 and 6 is 2, and the GCF of a^4 and a^2 is a^2, so the GCF of the terms in the expression is 2a^2.
Explanation:The GCF (Greatest Common Factor) of two or more terms is the greatest number that divides each of the terms without any remainder. The GCF of the terms in the algebraic expression 4a^4+6a^2 can be found by observing the numerical coefficients and the variables.
1. The numerical coefficients of the terms are 4 and 6. The GCF of 4 and 6 is 2.
2. The variables in the terms are a^4 and a^2. The GCF of a^4 and a^2 is a^2, because a^2 is the factor that appears in both terms to the smallest power.
By combining the GCF of the numerical coefficients with the GCF of the variables, we find that the GCF of the terms in the algebraic expression 4a^4+6a^2 is 2a^2.
Learn more about GCF of the terms here:https://brainly.com/question/36028487
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maria's school is selling tickets to a choral performance. on the first day of ticket sales the school sold 4 adult tickets and 1 child ticket for a total of $47. the school took in $58 on the second day by selling 5 adult tickets and 1 child ticket. what is the price each of one adult ticket and one child ticket?
Answers
We have then:
x = price of adult tickets
y = price of child tickets
We write the system of equations:
4x + y = 47
5x + y = 58
Solving the system of equations we have:
x = 11
y = 3
Answer:
11 $ price of adult tickets
3 $ price of child tickets
If two angles are both vertical and supplementary, can we determine the angles? If so, what are they?
Answers
if A and B are vertical angles
so
angle A is equal angle B
A=B
and
if A and B are supplementary angles
so
angle A +angle B is equal to 180 degrees
A+B=180°
therefore
A=B
A+A=180-----> 2A=180-----> A=90°
the answer is
the angles are 90 degrees
Answer:
Step-by-step explanation:
45
Steve buys 14 ounces of kiwis and 2 pounds of peaches.How many more ounces do the peaches weigh then the kiwis?
Answers
2 pounds x 16 ounces = 32 ounces for the peaches.
32 ounces - 14 ounces = 18
The peaches weigh 18 more ounces.
One hundred employees of a company are asked how they get to work and whether they work full time or part time. The table below shows the results. If one of the 100 employees is randomly selected, find the probability of getting someone who carpools or someone who works full time.
Full time Part time
Public Transportation 7 10
Bicycle 4 3
Drive alone 30 31
Carpool 6 9
Answers
These events are not mutually exclusive, meaning they can happen at the same time. This means we use
P(A or B) = P(A) + P(B) - P(A and B)
P(carpool or full time) = P(carpool) + P(full time) - P(carpool & full time)
There are 6+9=15 people out of 100 that carpool.
There are 7+4+30+6=47 people out of 100 that work full time.
There are 6 people out of 100 that carpool and work full time.
This gives us
15/100 + 47/100 - 6/100 = 56/100
The probability of getting someone who carpools or someone who works full time is 0.36.
Explanation:To find the probability of getting someone who carpools or someone who works full time, we need to add the probabilities of the two events.
The probability of getting someone who carpools is 6/100 and the probability of getting someone who works full time is 30/100.
So the probability of either event happening is (6/100) + (30/100) = 36/100 = 0.36.
Learn more about Probability here:https://brainly.com/question/32117953
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Linda has completed 24 deliveries so far this week. she needs to make 40 deliveries for the week. what percentage of her deliveries has linda completed?
Answers
Final answer:
Linda has completed 60% of her deliveries for the week.
Explanation:
Linda has completed 24 deliveries out of a total of 40 deliveries for the week. To find the percentage of deliveries Linda has completed, we can divide the number of completed deliveries by the total number of deliveries and multiply by 100.
Percent of deliveries completed = (Number of completed deliveries / Total number of deliveries) * 100
Percent of deliveries completed = (24/40) * 100 = 60%
What happens to people who don’t know toothpaste from putty?
Answers
Final answer:
Toothpaste is designed specifically for oral hygiene and contains abrasives and fluoride, unlike putty. Recognizing and using toothpaste instead of incorrect substances like putty is crucial for maintaining dental health.
Explanation:
When a person does not know how to distinguish between toothpaste and putty, they may lack basic knowledge about oral hygiene and the purpose of toothpaste. Toothpaste is formulated to clean and maintain the health of teeth; it usually contains abrasives that scrub the teeth and fluoride that helps prevent cavities.
It is essential to use toothpaste rather than any other substance, such as putty, which does not provide the same benefits and can be harmful if ingested. Learning to recognize and use toothpaste correctly is part of basic health awareness and contributes to overall wellbeing.
Which graph shows a polynomial function of an even degree?
Answers
A function is even if, for each x in the domain of f, f (- x) = f (x).
The even functions have reflective symmetry through the y-axis.
We have then that the graph that meets this definition is:
graph 1 (from left to right)
Answer:
graph 1 (from left to right)
Which of the following is an example of a function?
{(-1, 0), (-1, 3), (3, 9), (5, 10}
{(1, 3), (2, 5), (3, 8), (4, 10)}
{(4, 6), (5, 9), (4, 7)}
{(0, 2), (0, 3), (1, 5), (4, 5)}
Answers
B. This is a function. All of the x values are different. The points, when graphed, pass the vertical line test. In other words, its impossible to draw a vertical line through any two points on the graph. Any x input here leads to exactly one y output.
C. This is not a function. Like choice A, we have repeated x values. In this case we have (4,6) and (4,7). The x value x = 4 repeats itself leading to multiple outputs y = 6 and y = 7
D. This is also not a function. The x value x = 0 repeats itself. The graph fails the vertical line test.
--------------------------------
Answer: Choice B
From 1992 through 2007, the purchasing power of a dollar decreased by about 3.5% per a year. Using 1992, as the base for comparison, what was the purchasing power of a dollar in 2007? Formula: y=C(1−r)t
$0.48
$0.57
$0.44
$0,59
Answers
Explanation:
1) Given formula: y=C(1−r)^t
I will change t for x just due to editor limitations: y = C(1-r)ˣ
2) In that:
C =$1,
r = 3.5% = 3.5/100 = 0.035
x = t = 2007 - 1992 = 15
3) Compute
y = $1 (1 - 0.035)¹⁵ = $1 (0.965)¹⁵ = $0.586 ≈ $0.59
Answer: $0.59
Which phrase describes the algebraic expression x/15?
the quotient of a number and 15
the product of a number and 15
the sum of a number and 15
15 divided by a number
Answers
[(7−5)÷12]×2
help quick
Answers
(2 ÷ 12) × 2
Now write the division as a fraction.
[tex] \frac{2}{12} [/tex] × 2
Reduce the fraction with 2.
[tex] \frac{1}{6} [/tex] × 2
Finally,, reduce the fraction with 2 one last time.
[tex] \frac{1}{3} [/tex]
This means that the correct answer to your question is [tex] \frac{1}{3} [/tex].
Let me know if you have any further questions.
:)
Given the arithmetic sequence an = 3 + 2(n − 1), what is the domain for n?
A. All integers where n ≥ 0
B. All real numbers
C. All integers where n ≤ 1
D. All integers where n ≥ 1