Answers
Tangent of an angle is equal to the ratio of the opposite and adjacent sides
tan(angle) = opposite/adjacent
Divide those two sides to get
opposite/adjacent = 7/4 = 1.75
Look through the table and see which value in the "tan(x)" column is closest to 1.75, and that happens to be 1.7321. It is in the bottom row corresponding to 60 degrees.
So the final answer is choice D) 60 degrees
Note: it turns out that the angle theta is roughly 60.2551187 degrees
Related Questions
If a cube shaped cell is 3 units tall by 3 units wide and 3 units long, what is the volume of the cell?
Answers
The volume of the cube is 27 cubic units.
Volume = side length × side length × side length
Given:
the side length of the cube is 3 units,
we can calculate the volume as follows:
Side length = 3 units
Volume = 3 units × 3 units × 3 units
= 27 cubic units
So, the volume of the cube-shaped cell is 27 cubic units.
What is the exit diameter of a #4 size gas tungsten welding nozzle?
Answers
In a recent year there were about 400,000,000 mobile internet users. That same year, there were about 1.2* into 10 ninths desktop internet users. About how many time larger was the number of desktop internet users than the number of mobile internet users?
Answers
Final answer:
The number of desktop internet users is 3 times larger than the number of mobile internet users.
Explanation:
To find out how many times larger the number of desktop internet users is compared to mobile internet users, we need to perform a division. We divide the number of desktop internet users by the number of mobile internet users.
The number of desktop internet users is represented as 1.2 x 109. To simplify this number, we can write it as 1,200,000,000. The number of mobile internet users is 400,000,000.
Now, we divide the number of desktop internet users by the number of mobile internet users:
1,200,000,000 / 400,000,000 = 3
Therefore, the number of desktop internet users is 3 times larger than the number of mobile internet users.
The mathematical equation relating the independent variable to the expected value of the dependent variable; that is, e(y) = ?0 + ?1x, is known as
Answers
Simply put, the independent variable is the input variable, most often x. The dependent variable, or output variable, is the one for which the equation must be evaluated for a given x, is usually a y. In function notation, we swap out y for f(x).
Jane’s score on her first text was 72%.On Her second test she received a score of 81%. What was her percent increase?
Answers
Then find what percent of the original score 9% is, 9/72=12.5
Therefore your answer is 12.5%
Alex’s father is 5 times older than Alex and Alex is twice as old as his brother Nick who is 5 years old. How old is Alex's father?
Answers
Answer:
i think its 50....
The true conditional statement, "If 5x + 7 = 2x - 1, then 3x + 7 = -1," illustrates which property of equality?
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Answers
answer is
Subtraction Property of Equality
Answer: The correct option is second, i.e., Subtraction Property of Equality.
Explanation:
The given equation is,
[tex]5x+7=2x-1[/tex]
The Subtraction Property of Equality states that if a, b and c are real numbers then, [tex]a=b[/tex] and [tex]a-c=b-c[/tex] are equivalent equations.
Using Subtraction Property of Equality we subtract 2x from both the sides of given equation,
[tex]5x+7-2x=2x-1-2x[/tex]
Then combined like terms,
[tex](5x-2x)+7=(2x-2x)-1[/tex]
[tex]3x+7=-1[/tex]
It is the required equation.
Hence, second option is correct.
Which of the following compensation options helps pay for premiums that cover medical expenses?
A.
Cafeteria plan
B.
401(k)
C.
Life insurance
D.
Health insurance
Answers
Answer: Option 'D' is correct.
Step-by-step explanation:
Health insurance is an insurance that covers the risk of a person incurring medical expenses, for this TPA is hired to verify and collect the medical bills regarding the medical expenses .On the other hand, Life Insurance covers the risk of death of a person and after the sum insured goes to the Nominee.
Whereas, Cafeteria plan is a reimbursement plan done by employees to contribute their gross income in a designated accounts.
Hence, Option 'D' is correct.
Mike and his friend were playing 2 on 2 at the public court. They were using a homemade basketball and the volume of the ball was 288p. A regulation basketball has a circumference between 29.5-30 in. Can this ball be used in a regulation basketball game?
Answers
288 pi = (4/3)pi r^3
r^3 = 288 / (4/3) = 216
r = 6 ins.
Circumference of the ball = 2 pi r = 2*pi*6 = 37.70 in so this ball cannot be used in a regulation game of basketball.
What is the distance between (4,7) and (2,2)?
Choose 1 Answer:
A: √10
B:√29
C: 8
D: 9
Answers
Perform the indicated operation.
7 + 9 + (-4)
20
-20
12
-12
Answers
Remove parenthesis,
7 + 9 + (-4)
Then, use the addition and subtraction rules:
7 + 9 - 4
Hence, the answer is 12 (C)
Hope this helps :)
Answer:
12Step-by-step explanation:
HAVE A GREAT DAY EVERYBODYFind an expression in simplest form for the verbal description. The sum of the cost of dinner d and a $27 tip divided equally between 3 people
Answers
Final answer:
The expression for the cost of dinner plus $27 tip divided by three people is (d + 27) / 3.
Explanation:
To find an expression for the given verbal description, first write the sum of the cost of dinner d and a $27 tip. This sum is represented by the expression d + 27. Then, to divide this sum equally among 3 people, you divide the entire expression by 3. The final expression in simplest form would be (d + 27) / 3.
Suppose the ram for a certain computer has 256m words, where each word is 16 bits
Answers
Define variable for traveling 2345 total but I've already went 775 miles. If i want to split the remaining miles left into 5 days
Answers
Use x as the variable for the number of miles traveled in 1 day. The number of miles left to travel is equal to the total distance minus the distance already traveled:
(2345-775)
Then divide by the number of days, 5:
(2345-775)/5
what is 48% of 576? round the answer to the nearest hundredth
Answers
48/100 = 0.48
Then you multiply the number by the multiplier:
576*0.48 = 276.48
Hope this helps! :)
Find the perimeter of quadrilateral pqrs with the vertices p(2 4) q(2 3) answer
Answers
Although this problem can be solved easily if given the figure, we can simply imagine to solve this. We see that we are given two points of the quadrilateral which are (2, 4) and (2, 3). This means that from P to Q, there is only a distance of 1. Since a quadrilateral has 4 equal sides therefore the perimeter is 4 units.
Answer:
4 units
Identify the number that does not belong with the other three. Explain your reasoning. -[tex] \frac{10}{2} [/tex], -13.4, [tex] \sqrt{18} [/tex], 22.7
Answers
45 decrease by twice a number
Answers
"45 decreased by"
This shows that we are going to be subtracting 45 by something.
45-
"twice a number"
The "twice" implies that it is going to be 2 multiplied by something, and "a number" represents our variable, n.
45-2n
Using the logic above, we can see the equation to represent this phrase is 45-2n.
true or false, If points F and G are contained in a plane, then FG is entirely contained in that plane
Answers
If you join any two points on the plane, then the line would also be within the plane.
Answer: TRUE
Find three consecutive even integers such that 4 times the third integer is 4 more than the 3 times the first integer plus two times the second integer.
Answers
4(n + 4) = 3n + 2(n + 2) + 4
4n + 16 = 5n + 8
8 = n
so three integers are 8,10 and 12.
N the metric system, how many microseconds are needed to make one second?
Answers
For accounting purposes, the value of assets (land, buildings, equipment) in a business are depreciated at a set rate per year. The value, V(t) of $408,000 worth of assets after t years, that depreciate at 18% per year, is given by the formula V(t) = Vo(b)t. What is the value of Vo and b, and when rounded to the nearest cent, what are the assets valued at after 8 years?
Answers
Vo is the value of assets 408000
b=1-r
R rate of depreciation 0.18
b=1−0.18=0.82
T time ( number of years )
So after 8 years the value of the assets is
V (8)=408,000×(0.82)^(8)=83,400.94
Round your answer to get 83401
Hope it helps!
In the depreciation formula V(t) = Vo(b)^t, Vo is the initial value of $408,000, and b is 0.82 (1 minus 18% depreciation). After 8 years, using these values, the assets are valued at approximately $68,818.46 when rounded to the nearest cent.
The student's question relates to the depreciation of business assets over time. In the formula V(t) = Vo(b)^t, Vo represents the initial value of the assets and b represents the depreciation rate expressed as a base for the exponential function. Knowing that the asset is worth $408,000 initially and depreciates at 18% per annum, Vo equals $408,000, and b equals (1 - 0.18) or 0.82, which reflects the remaining value of the asset after one year.
To calculate the value after 8 years, we use the formula with the given values: V(8) = 408,000(0.82)^8. The calculation proceeds as follows:
V(8) = 408,000(0.82)^8V(8) = 408,000(0.1686747) (approximately after the 0.82 taken to the 8th power)V(8) = 68,818.46 (rounded to the nearest centTo answer the question, the value of the assets after 8 years, rounded to the nearest cent, is $68,818.46.
solve the equation
6x-2y+1=0
3x-5y+7=0
Answers
3x-5y+7=0 (2)
multiply equation (2) by negative 2 (-2)
3x-5y+7=0 (2) will become
-6x + 10y - 14 = 0
now you have
6x - 2y + 1=0
-6x + 10y - 14 = 0
-----------------------------add
8y - 13 = 0
8y = 13
y = 13/8
y = 1.625
substitute y = 1.625 into 6x-2y+1=0
6x-2y+1=0
6x-2(1.625)+1=0
6x - 3.25 + 1 = 0
6x - 2.25
6x = 2.25
x = 0.375
answer
solution (0.375, 1.625)
What equation could be used to solve this problem?
The sum of two consecutive integers is 141. Find the integers.
Answers
The equation for two consecutive integers is:
x + (x+1) = y
Now, lets plug in the information we know:
x + (x+1) = 141
Even though the question asks for the equation, I'm going to solve anyway :)
2x + 1 = 141
2x = 140
x = 70
70,71
Hope this helps!
Suppose you have 2 1/2 cups of ice cream. If a serving consists of 1/2 of a cup, how many servings do you have?
Question 1 options:
4
5
6
7
Answers
1/2 cup + 1/2 cup = 1 cup
so four 1/2 cups = 2 cups
so five 1/2 cup servings = 2 1/2 cups
answer is 5
Which value is equivalent to
Select one:
a. 64 over 49
b. 8 over 49
c. 16 over 7
d. 512 over 7
Answers
Which equation is an example of the use of the associative property of addition ?
1) x+7=7+x
2)3(x+y)=3x+3y
3)(x+y) +3 =x+(y+3)
4)3+(x+y)=(x+y)+3
Answers
The associative property of addition is exemplified in the equation 3+(x+y)=(x+y)+3.
The equation that is an example of the use of the associative property of addition is:
3+(x+y)=(x+y)+3
This equation demonstrates that when adding three numbers, the grouping of the numbers does not affect the sum, showcasing the associative property of addition.
Which statement is true about the domain of y = 3(2^-x)? Explain.
The domain is all real numbers greater than or equal to 2.
The domain is all real numbers greater than 0
The domain is all real numbers
The domain is all real numbers less than 0
Answers
any function of the form [tex]y=f(x)=a \cdot b^x[/tex] is called an "exponential function",
the only condition is that b is positive and different from 1, and a is a nonzero real number.
The domain of such functions is all real numbers.
That is for any x, the expression 3(2^-x) "makes sense".
Answer: The domain is all real numbers
The correct statement about the domain of y = 3(2-x) is that the domain is all real numbers. The domain of the function y = 3(2^-x) is all real numbers, as there are no restrictions on x from the form of the function itself.
The correct statement about the domain of y = 3(2-x) is that the domain is all real numbers. This is because for the function given, there are no restrictions on the values that x can take. The base of the exponent, 2, is positive and since exponents can take any real number, negative or positive, there is nothing to prevent any real x from being used as an input. Furthermore, since the function does not contain any terms that would result in undefined operations, such as division by zero or negative numbers under an even root, the domain remains unrestricted.
Some friends equally split some containers of strawberries. each container held the same number of strawberries. the expression 9x/7 represents how many strawberries each person received when splitting x containers. what does the number 7 in the expression represent?
Answers
let me break it down...
there were 9 containers.....each container had x number of strawberries....thats the 9x
divided by 7.....divided by the number of friends.
so the 7 stands for the total number of friends
Use the distributive property to simplify the expression ( y − 9 ) ( 10)
Answers
10(y-9)= 10*y + 10*-9
10*y=10y
10*-9= -90
Final answer: 10y-90