Answer: [tex]\dfrac{6}{8}[/tex]
Step-by-step explanation:
Given
There are 6 Programmers and 8 Analysts working on a team at CIA.
Ratio of Programmers to analysts is
[tex]\Rightarrow \dfrac{6}{8}[/tex]
Un-simplified ratio is [tex]\dfrac{6}{8}[/tex]
Simplified ratio is [tex]\dfrac{3}{4}[/tex]
Kevin is 30 years old. He wants to take out a 15-year level term insurance policy with a face value of $500,000. The monthly premium is $56. What will be his total cost over the 15-year period?
Answer:
$10,080
Step-by-step explanation:
Monthly premium = $56
So, yearly premium = $56 × 12 = $672
Time period = 15 years
Now, we can calculate the total cost for 15 years period by using following formula,
Total cost = yearly premium × Time period
By putting the value, we get
Total cost = $672 × 15
= $10,080
Hence, total cost for 15 years period is $10,080.
Please help. How do you find cosine, sine, cosecant and secant with this triangle?
Hi there! You have to remember these 6 basic Trigonometric Ratios which are:
sine (sin) = opposite/hypotenusecosine (cos) = adjacent/hypotenusetangent (tan) = opposite/adjacentcosecant (cosec/csc) = hypotenuse/oppositesecant (sec) = hypotenuse/adjacentcotangent (cot) = adjacent/oppositecosecant is the reciprocal of sinesecant is the reciprocal of cosinecotangent is the reciprocal of tangentBack to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.
What we have now are:
Trigonometric RatioAdjacent = 12Opposite = 10Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!
a²+b² = c²Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite
Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.
10²+12² = c²100+144 = c²244 = c²Thus, the hypotenuse is:
[tex] \large \boxed{c = 2 \sqrt{61} }[/tex]
Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:
cosine (cosθ) = adjacent/hypotenuse = 12/(2√61) = 6/√61 = (6√61) / 61sine (sinθ) = opposite/hypotenuse = 10/(2√61) = 5/√61 = (5√61) / 61cosecant (cscθ) is reciprocal of sine (sinθ). Hence, cscθ = (2√61/10) = √61/5secant (secθ) is reciprocal of cosine (cosθ). Hence, secθ = (2√61)/12 = √61/6Questions can be asked through comment.
Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.
Hope this helps, and Happy Learning! :)
A recipe for baba ghanoush cause for twice as much olive oil as lemon juice
Which expression represents the amount of olive oil needed for 4 tablespoons of lemon juice choose ALL that apply
A). 4•4
B). 4+2
C). 4•2
D). 4+4
Answer:
A. 4.4 I am doing good today
What is the midline equation of the function g(x) = 2 cos(7x + 5) + 1?
Answer:
y = 1
Step-by-step explanation:
The midline of h(x) = 2 cos(7x + 5) is y = 0.
The graph of g(x) = 2 cos(7x + 5) + 1 is the same, except that the entire graph of h(x) is translated up by 1 unit.
Thus, the midline of g(x) = 2 cos(7x + 5) is y = 1.
I really need some help please
Answer:
y - 1 = 3/2(x - 4)
Step-by-step explanation:
plug in the given(known) x and y coordinates into the point-slope form:
=> y - 1 = 3/2(x - 4)
Find the measure of the angle indicated
=======================================================
Explanation:
The arc measures shown are 138 and 58. Subtract the arc measures and divide by 2 to get the answer
(138-58)/2 = 80/2 = 40 degrees
The general formula is
(A - B)/2
where A and B are the arc measures. The value of A is always the larger arc measure. This formula works for two secant lines as this diagram shows, and it also works for a secant line and tangent line, and lastly it works if both lines were tangent.
Factor the following, I will give 5 stars and thanks.
Answer:
5) [tex]x=3,-1[/tex]
6) [tex]r=-6,-4[/tex]
7) [tex]p=2,3[/tex]
8) [tex]n=-4,8[/tex]
Step-by-step explanation:
5) [tex](x-3)(x+1)=0[/tex]
[tex](3-3)(-1+1)=0[/tex] substitute x for a number that will make the statement true.
6) [tex](r+6)(r+4)=0[/tex]
[tex](-6+6)(-4+4)=0[/tex] substitute r for a number that will make the statement true.
7) [tex](p-2)(p-3)=0[/tex]
[tex](2-2)(3-3)=0[/tex] substitute p for a number that will make the statement true.
8) [tex](n+4)(n-8)=0[/tex]
[tex](-4+4)(8-8)=0[/tex] substitute n for a number that will make the statement true.
What is the radius of this circle?
Answer:
radius is 9
Step-by-step explanation:
radius is half the diameter which is 18 and half of 18 is 9
Matthew worked a summer job and saved $900 each
summer for the last 4 years. He also has been awarded a
grant in the amount of $5,000 and he received $3,000 in
scholarships. He estimated the first year of college to cost
$13,000. If he uses his savings, the grant, and his
scholarship, how much more will he need to pay for the
first year of college?
Answer:
1400
Step-by-step explanation:
hope that helps <3
can someone help me with these too please
Answer:
120 in³
Step-by-step explanation:
10 x 4 x 3 = 120
A bank makes a profit of 20 million euro. The bank pays 500 thousand euro in tax. What percentage of the profit is paid in tax?
Answer:
2.5%
Step-by-step explanation:
Given data
Profit = Euro 20,000,000
Tax paid= Euro 500,000
The percentage tax paid is
% Tax= Tax paid/Profit*100
% Tax= 500,000/20,000,000*100
% Tax=0.025*100
% Tax=2.5
Hence the percentage tax paid is 2.5%
What is the area of the figure composed of a parallelogram, a square, and a rectangle?
10 in.
3.5 in.
4 in.
6 in.
12,5 in.
PLEASE HELP ME I WILL HIVE BRAINLYEST
Answer:
Step-by-step explanation:
a). Points on a number line are,
x = -7, 1
Number of small blocks between x = -7 and 1 is 8.
Distance = 8
b). Difference between two points x = -7, 1 will be,
1 - (-7) = 1 + 7
= 8
-7 - 1 = -8
c). Absolute value of each difference,
|1 - (-7)| = 1 + 7
= 8
|-7 - 1| = |-8|
= 8
supply the reason................
Answer:
Step-by-step explanation:
2.CB≅CB (being common side)
3.triangle CAB≅ triangle BDC(by ASA axiom)
4.length AB≅ length CD( Given )
what expression is equivalent to x^2-7x+12+(x-3)^2
Answer:
2x²−13x+21
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
Jaleel wrote a book. He wants to print some copies for
his friends and family. The printing company charges a
one-time fee of $200, plus $2 for each printed book.
Is the number of books he prints a function of total cost?
Yes?
No?
Solve −18=6+6x .
x = __
Answer:
x = -4
Step-by-step explanation:
-18 = 6+6x
-18 -6 = 6x
-24 = 6x
-24/6 = x
x = -4
Checking Part:
-18 = 6 + 6x
-18 = 6 + 6(-4)
-18 = 6 -24
-18 = -18
Answer:
-4
Step-by-step explanation:
Subtract 6 to get X by itself and that leaver you with - 24=6x now divide by 6 to get x=-4
Hope this helps
On Monday, a museum had 600 visitors. On Tuesday, it had 740 visitors. Estimate the percent change in the number of visitors to the museum.
Ashley uses a mix of six base-ten blocks to model a 3 digit number. All 3 digits of the number are the same. What is the number?
Answer:
The number is 222
Step-by-step explanation:
The given parameters are;
The method Ashley models the 3 digit number = A mix of six base-ten blocks
The digits of the 3 digit number are equal
Therefore, given that in a 3 digit number, we have, hundreds, 100s, tens, 10s, and units, 1s, we can find the digits as follows;
Let 'x' represent the number of hundreds digits, let 'y' represent the number of tens digits and let 'z' represent the number of units digits, we have;
x = y = z...(1)
x + y + z = 6...(2)
Substituting the value of x = y, and x = z from equation (1), in equation (2), we get;
x + y + z = x + x + x = 6
∴ 3·x = 6
∴ x = 6/3 = 2
x = 2 = y = z
Therefore, the 3-digit numbers xyz = 222
hey! i’ll give brainliest please help
Answer:
D
hope this helps
have a good day :)
Step-by-step explanation:
(I'm probably spammy lol)
More babes-
I just need help, like point me in the right direction, something.
I'm so tired-
Answer:
x= 9
Step-by-step explanation:
85 + 2x +2 + {180 -(11x + 6) }=180 (sum of angles in a triangle)
87 + 2x + 180 - 6 -11x = 180
87 -9x - 6 = 0
81 = 9x
x= 9
Stephen kicked a ball inside. The equation that represents the height h in feet of the ball after being kicked and elapsed amount of time t in seconds
Answer:
The maximum height of the ball is: 14.0625ft
Step-by-step explanation:
The missing information is:
[tex]h(t) = 30t - 16t^2[/tex]
Required
The maximum height the ball attained
First, we calculate the time to reach the maximum height.
For a function: [tex]h(t) = at^2 + bt + c[/tex]
The maximum is: [tex]t = \frac{-b}{2a}[/tex]
So, the maximum of [tex]h(t) = 30t - 16t^2[/tex] is:
[tex]t = \frac{-b}{2a}[/tex]
Where
[tex]a = -16; b = 30[/tex]
So:
[tex]t = -\frac{30}{2*-16}[/tex]
[tex]t = -\frac{30}{-32}[/tex]
[tex]t = \frac{30}{32}[/tex]
[tex]t = 0.9375[/tex]
The maximum height is then calculated as:
[tex]h(t) = 30t - 16t^2[/tex]
[tex]h(0.9375) = 30 * 0.9375- 16 * 0.9375^2[/tex]
[tex]h(0.9375) = 28.125- 14.0625[/tex]
[tex]h(0.9375) = 14.0625[/tex]
How many units is this value from zero on the number line?
-8
answers
A. 16
B. 8
C. 0
D. -8
pls help urgent
Answer:
answer is 8
Step-by-step explanation:
hope this helps
[tex]3 + 9 - 2 12 \div 3[/tex]
Basit played and online Pin Ball game the first time we got our score of 25000 point then he is called 125000 point and third time he scored 30000 what was his Score per game ?
Answer:
Average score per game = 60,000 per game
Step-by-step explanation:
Given:
Points scored in first game = 25,000
Points scored in second game = 125,000
Points scored in third game = 30,000
Find:
Average score per game
Computation:
Average = Sum of observation / Number of observation
So,
Sum of all game = 25,000 + 125,000 + 30,000
Sum of all game = 180,000
Number of games = 3
Average score per game = 180,000 / 3
Average score per game = 60,000 per game
PLEASE HELPPP
identify the solution to the system of equations
Answer:
x= y=2
Because that's why the lines intercepts
What is the height of the flagpole?
what two numbers multiple to -48 & add to -8
Answer:
-12 and 4
Step-by-step explanation:
-12 x 4 = 48
and
-12 + 4 = -8
Answer:
-12 and +4
Step-by-step explanation:
-12 * 4 = - 48
-12 + 4 = - 8
Find the the sum for the shown infinite geometric series?
2,2/3, 2/9, ...
Answer:
3
Step-by-step explanation:
The formula for the sum of an infinite geometric series is
[tex]\frac{a}{1-r}[/tex]
Where a is the first term and r is the common ratio. We can see that the first term is 2, and to find the common ratio, we can divide a term by the one before it. We can get:
[tex]\frac{\frac{2}{3}}{2} =\frac{2}{3} *\frac{1}{2}=\frac{1}{3}[/tex]
Now, we have all the values need to evaluate the formula. We can plug them in:
[tex]\frac{2}{1-\frac{1}{3} } \\\frac{2}{\frac{2}{3} } \\2*\frac{3}{2}\\3[/tex]
A DrillingRick was diggingA well in the valley it dug to a point of -50 Meters in one day After 18 hours at how many meters would the rig be if it moved at the same amount each hour? Show your work.Explain your answer
Answer:
37.5 meters
Step-by-step explanation:
depth of well : hours of digging
it dug to a point of -50 Meters in one day
= 50 meters : 24 hours
After 18 hours at how many meters would the rig
Let
x = depth that will be rigged
depth of well : hours of digging
= x meters : 18 hours
Equate the ratios
50 meters : 24 hours = x meters : 18 hours
50/24 = x/18
50 * 18 = 24 * x
900 = 24x
x = 900/24
x = 37.5
x = depth that will be rigged = 37.5 meters