The other two angles are 23 degrees and 67 degrees.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given,
Given a right angled triangle with one angle 90 degrees.
We need to find the other two angle measures of a right triangle with side lengths 5, 12, and 13
The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
In this problem, the hypotenuse is the largest size of 13.
The angle opposite to the side of length 5 is found as follows:
sinθ=5/13
θ=sin⁻¹5/13
θ=23
By angle sum of 3 angles is of 180º, the other angle is of 67º.
Hence, the other two angles are 23 degrees and 67 degrees.
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Stacy made a deposit of $8,500.00 into an account. After ten years, the account had earned $5,525.00 in interest. What simple interest rate did the account earn?
Find the slope at tangent line f(x)=(3/2)x+1 at (-2,-2)
Write 15 is no more than a number T divided by 5 as an inequality ( great than less than...)
The inequality representing '15 is no more than a number T divided by 5' is written as 15 <= T/5, which means T divided by 5 should be greater than or equal to 15.
The phrase '15 is no more than a number T divided by 5' can be translated into an inequality. When we interpret 'no more than', it means 'less than or equal to'. Therefore, the statement can be translated into the inequality 15 <= T/5. This expresses that when you divide the number T by 5, the result should be at least 15 or any value less than 15. The interpretation of "no more than" as "less than or equal to" clarifies the inequality's meaning, emphasizing that the resulting quotient from dividing T by 5 should not exceed 15. Thus, the inequality encapsulates the relationship between the number 15 and T when considering their division by 5.
A drinking glass has height of 4 inches in height,in a length of 2 inches and 2 inches in width,while a baking pan has a width of 4 inches lenght of 8 inches and a depth of 2 inches.if the baking pan is filled of water up to its half depth using the drinking glass,how many glasses of full water would be needed?
There are 2 glasses of full water would be needed to fill the baking pan.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A drinking glass has height of 4 inches ,in a length of 2 inches and 2 inches in width.
And, A baking pan has a width of 4 inches length of 8 inches and a depth of 2 inches.
Now,
The volume of drinking water = 4 x 2 x 2
= 16 inches³
And, The volume of baking pan = 4 x 8 x 2
= 64 inches³
So, Half depth of baking pan = 64 / 2
= 32 inches³
Here, The volume of drinking water = 16 inches³
Thus, Number of glass of full water would be needed to fill the baking pan = 32 / 16 = 2
Therefore, There are 2 glasses of full water would be needed to fill the baking pan.
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The minimum sustained wind speed of a category 1 hurricane is 74 miles per hour. The maximum sustained wind speed is 95 miles per hour. Write an absolute value equation that represents the minimum and maximum speeds. Let V represent the wind speed.
The absolute value equation that represents the range of a category 1 hurricane's wind speed is |V - 84.5| ≤ 10.5. 84.5 is the average of the range and 10.5 is the difference from the range's center to the end.
Explanation:The absolute value equation that represents the minimum and maximum sustained wind speeds of a category 1 hurricane can be written as |V - 84.5| ≤ 10.5. Here, V stands for the wind speed. The middle value of 74 and 95 is 84.5 (the average of 74 and 95). And the distance from 84.5 to either end of the range (74 or 95) is 10.5. So, the range of speeds is represented by the absolute difference from the center of the range is less than or equal to 10.5.
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One number exceeds another by 1 the sum of the numbers is 29 what are the numbers
Final answer:
To find the two numbers, we set up two equations, solve for one variable, and find the other. The numbers that satisfy the condition of one exceeding the other by 1 with their sum being 29 are 14 and 15.
Explanation:
The student's question involves finding two numbers where one number exceeds the other by 1 and their sum is 29. To solve this, let's set up a system of equations. We'll call the first number x and the second number y. Based on the question:
x = y + 1 (one number exceeds the other by 1)
x + y = 29 (the sum of the numbers is 29)
Substituting the first equation into the second gives us:
(y + 1) + y = 29
2y + 1 = 29
2y = 28
y = 14
Now that we have the value of y, we can find x:
x = y + 1
x = 14 + 1
x = 15
Therefore, the two numbers are 14 and 15.
find the value of x so that f( x ) = 7
The value for x so that f(x) = 7 is at x = -3.
Using the equation of slope-intercept form (y = mx + b), where m is the gradient and b is the constant, we can find the value of x at which f(x) is equal to 7 as follows:
By observation on the graph, when x = 1, y = 3 and when x = 2, y = 2.
3 = m + b...(1)
2 = 2m + b...(2)
we multiply equation (1) by 2 and subtract equation (2) from the result;
6 - 2 = 2m - 2m + 2b - b
4 = b
putting 4 for b in equation (1) gives;
m = -1
Thus we have the equation for f(x) as
f(x) = (-1)x + 4
For f(x) = 7;
-x + 4 = 7
x = 4 - 7
x = -3.
Therefore, for f(x) to be equal to 7, the value of x is equal to -3.
What is the equation of the circle shown in the graph
Answer: its the third option
meg knows that it takes 16 minutes for her to read 7/x of a chapter. How long will it take her to read the entire chapter?
Tony says that 4,400 is halfway between 4,000 and 5,000.is he correct?why or why not?
Tony is not correct. The midway point between 4,000 and 5,000 is found by calculating the average of the two numbers, which is 4,500. Therefore, the halfway point is 4,500, not 4,400.
Explanation:Tony states that 4,400 is halfway between 4,000 and 5,000. To determine if Tony is correct, we need to find the midpoint between the two numbers. The midpoint can be found by adding the two numbers together and dividing by 2:
(4,000 + 5,000) / 2 = 9,000 / 2 = 4,500.
Therefore, the exact halfway point between 4,000 and 5,000 is 4,500. This means that Tony's assertion that 4,400 is halfway between these two numbers is not correct; the correct halfway point is actually 4,500.
No, Tony is not correct. Halfway between 4,000 and 5,000 would be the average of the two numbers, which is 4,500.
Explanation:No, Tony is not correct. Halfway between 4,000 and 5,000 would be the average of the two numbers. To find the average, we add the two numbers together and divide by 2. In this case, the average of 4,000 and 5,000 would be (4,000 + 5,000) / 2 = 9,000 / 2 = 4,500. Therefore, 4,400 is not halfway between 4,000 and 5,000.
what does a negative net worth indicate
your local gas stations are having a price war during the past seven days they have lowered the price of regular gas by $0.2 each day define a variable then write and solve an equation to find the total change in gas price show your work
Let x denotes the number of days and y denotes the total change in gas price ( in dollars).
Given : During the past seven days the price of regular gas is decreased by $0.2 each day.
Rate of decrease =$0.2 per day
Then , Total change in gas price = Rate of decrease x Number of days
i.e.[tex]y= 0.2 \times x[/tex]
i.e. [tex]y=0.2x[/tex] (1)
To find the total change in gas price in 7 days , we put x= 7 in (1) , we get
[tex]y=0.2(7)=1.4[/tex]
Hence, the total change in gas price in 7 days = $1.4
Answer:
0.14
Step-by-step explanation:
Let t be the total reduction. Then ...
t = daily change * number of days
t = 7 * 0.02
t = $0.14!
solve the following problem correctly 6+6²÷(3+6) x 3
Fifteen people volunteer for a park cleanup. The number of volunteers increases by 7 people each month for several months. After how many months will there be 50 volunteers
what all fractions are equivalent to 1.27 repeating
A school has two pathways through the math program. At this school,
two-sevenths of students follow the first path, and the rest take the second path. During one semester, 35% of the students who follow the first path pass the program, while 70% of the students who follow the second path pass it. Find the fraction of students who take the first path and pass.
which expression has a value of 15 when p=12 18/p 3p. 18-p p+3
The required expression that has a value of 15 is given as P + 3.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Substitute the value of p in the expression,
= P + 3
= 12 + 3
= 15
When the value of p is put on another expression there output value is not 15.
Thus, the required expression that has a value of 15 is given as P + 3.
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Find three consecutive even integers such that the sum of the least integer and the middle integer is 30 more than the greatest integer
Let the first integer be represented by: 2k
the second integer by: 2(k+1)
and the third by: 2(k+2)
Then, 2k + 2(k+1) = 2(k+2) + 30
2k + 2k + 2 = 2k + 4 + 30
4k + 2 = 2k + 34
2k = 32
k = 16
first integer: 2k = 2(16) = 32
second integer: 2(k+1) = 2(16+1) = 2(17) = 34
third integer: 2(k+2) = 2(16+2) = 2(18) = 36
Answer: 32, 34, 36
Describe the pattern you see when you move from a lesser place-value position to the next greater place-value position.
what is 5/6 divided by 1/12
The answer and how to get it correctly on my own
The s/n ration for a set of 50 measurements is 10. what number of measurements would make the s/n ratio 5
Theo mom bought an 8 pack of juice boxes at the store for four dollars. Find the unit rate for the juice boxes
The Des Plaines River Bridge is 2.1 km long. Engineers are considering re-lighting the bridge with a pole placed every 100 feet of the bridge length starting from the south end. Each pole will support four light globes. How many globes will be required for the re-lighting project?
Solve (1-sin(x))(1+sin(x))
It takes 23 minutes for 6 people to paint 6 walls. How many minutes does it take 9 people to paint 9 walls?
Answer:
23
Step-by-step explanation:
Imagine that each person is assigned one wall, and all 6 people begin painting at the same time.
Since everyone will finish painting their assigned wall after 23 minutes, it takes one person 23 minutes to paint one wall.
If we have 9 people and 9 walls, we can again assign one wall to each person.
Everyone will take 23 minutes to paint their assigned wall.
In other words, it takes 23 minutes for 9 people to paint 9 walls.
Given CA=3x-4, AT=4x+1, and CT=32, find AT
Every 3 days Seth goes to the grocery store. His best friend Brian goes every 5 days. On what day will they both go to the store on the same day???
How do you write 15 cubed in exponential notation
Is this better? Its all.. There is no book to read it over so its confusing