The length of the hypotenuse of the right triangle is 4.1in
What is trigonometry ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
In trigonometry, if θ is the angle opposite the 4 in line, then sinθ= opp/hyp
cosθ=adj/hyp
tanθ= opp/adj
to find the hypotenuse
sin80= 4/hyp
hyp= 4/sin80
hyp = 4/0.985
therefore the hypotenuse = 4.1 in
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A group of 540 students are required to take a test. Of these,
495 actually take the test, and 45 are absent that day.
(i) Write down the ratio of the number of students who take the test
to the number of students who are absent. Simplify this ratio as far
as possible. [3]
(ii) Of the 495 students who take the test, the numbers of students
obtaining grades A, B, C and D are in the ratio 5 : 14 : 10 : 4,
respectively. Calculate the number of students obtaining each
grade. Explain how you could check that your answers are
Answer:
1175, 210, 150, 60There are 9 apples in each
Box. How many Apples are in
in 6 boxes
Answer:
I believe h do 9 times 6. and u should get 54
write an equation in point-slope form of the line that passes through the point (3, 5) and has a slope or -1
Answer:
y = -x + 8
Step-by-step explanation:
m = -1 ; x1 = 3 ; y1 = 5
Slope point form: y - y1 = m(x -x1)
y - 5 = -1(x - 3)
y - 5 = -1x - 3 *(-1)
y - 5 =-x + 3
y = -x + 3 + 5
y = -x + 8
Write the partial fraction decomposition of the rational expression:
(3x-5)/(x^2 - 6X - 16)
Answer:
Step-by-step explanation:
What is the area of the parallelogram
shown above?
[?] square feet
Answer:
299 square feet
Step-by-step explanation:
Area of a parallelogram = base × height
Base = 23 ft
Height = 13 ft
Note: the other length, 15 ft is not needed in calculating area of the parallelogram. All we need is just the length of the base and the height.
Area of the parallelogram shown = 23 × 13
Area = 299 ft²
Latoya bought 8 pounds of potatoes at a local wholesaler for $18. Her friend Herman bought 6 pounds of potatoes at the supermarket for $15. Herman thinks he got the better deal because $15 is less than $18. Use this information for Parts A, B, and C below.
Answer:
Latoya got a better deal because she paid less than Herman by 25 cents
Step-by-step explanation:
Latoya 18 divided by 8= $2.25
Herman 15 divided by 6= $2.50
So Latoya saves $0.25 cents
plz answer ASAP tysm !
Answer:
I already did
Step-by-step explanation:
What is the rate of change (as a %) if the number of employees in a company decreases from 136 to 84?
Answer:
38.2%
Step-by-step explanation:
Given data
Initial number= 136
FInal number= 84
%dcrease= initial-final/initial*100
%dcrease= 136-84/136*100
%dcrease= 52/136*100
%dcrease=0.382*100
%dcrease=38.2%
Hence the decrease is 38.2%
Help please.
A cubic box is 5in. on each side. If each dimension is increased by x in., what is the polynomial function modeling the new volume V?
A. V = x^3 + 10x^2 + 25x
B. V = x^3 + 15x^2 + 75x + 125
C. V = x^3 - 15x^2 + 75x - 125
D. V = -x^3 - 15x^2 + 25x - 125
Answer:
B think
Step-by-step explanation:
The polynomial function modeling the new volume of a cubic box is 5 inches On each side is x³ + 15x² + 75x + 125, so option B is correct.
What is polynomial?The only operations used in a polynomial are addition, subtraction, multiplication, and positive-integer powers of the variables. It consists of coefficients and indeterminate, often known as variables.
Given:
A cubic box is 5 inches On each side,
New volume of the cube = x + 5 inches,
Calculate the volume of the cube as shown below,
[tex]Volume = side^3[/tex]
V = (x + 5)³
V = x³ + 15x² + 75x + 125
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Can someone help me pls
72 would be the answer
ok soo ima need help !! {re-posting this one}
question-
Select all of the ratios that are equivalent to 6:16.
2:8
3:8
12/18
30/80
18 to 48
Answer:
3:8
30/80
18 to 48
Step-by-step explanation:
3:8 (6 and 16 divided by 2)
30/80 (6 and 16 times 5)
18 to 48 (6 and 16 times 3)
HELP ME PLS THANK YOU<333
Answer:
d
Step-by-step explanation:
edge 2020
p.s. pls mark brainliest, and have a good day! :)
Find the area of the shape below
Answer:
3sqft
Step-by-step explanation:
Note that you can draw the segment AH and notice that you have 2 triangles with base 2ft and height 1.5ft each.
The area will be 2 * (2ft * 1.5ft / 2) = 3sqft
Answer:
6 ft^2
Step-by-step explanation:
Area: A = (ab)/2 where a is the H-A and b is M-T
Plugin the numbers: A = (2 x 6)/2 = 6 ft^2
The table describes some of the solutions of the inequality 6x < 18 which graph best describes the solutions of 6x < 18?
Answer:b
Step-by-step explanation:
Answer:
Step-by-step explanation:
HELPPP. 6th GRADE MATH!!! ITS EASY IF YOU ARE GOOD AT IT!!!
:( No links and non-useful answers will be reported. Please help!
Answer:
1. Howard
2. Peter
Step-by-step explanation:
Answer:
1 is A, 2 is B
pls help me ill mark brainliest
Answer:
Step-by-step explanation:
I got 480 in^3
SEND HELP
Write the standard form of the equation of the circle.
9514 1404 393
Answer:
(x +4)^2 +(y +6)^2 = 18
Step-by-step explanation:
The standard form equation for a circle centered at (h, k) with radius r is ...
(x -h)^2 +(y -k)^2 = r^2
The center of the given circle is (-4, -6). The radius (or squared radius) can be found by putting the point (-7, -3) into the left-side expression.
(-7 -(-4))^2 +(-3 -(-6))^2 = r^2 = 9 +9 = 18
Then the equation of the circle is ...
(x +4)^2 +(y +6)^2 = 18
The function f(x) = (x − 4)(x − 2) is shown.
On a coordinate plane, a parabola opens up. It goes through (2, 0), has a vertex at (3, negative 1), and goes through (4, 0).
What is the range of the function?
all real numbers less than or equal to 3
all real numbers less than or equal to −1
all real numbers greater than or equal to 3
all real numbers greater than or equal to −1
Answer:
Last Option : all real numbers greater than or equal to −1
Step-by-step explanation:
Answer:
D.all real numbers greater than or equal to −1
Step-by-step explanation:
please help and also how did u get ur answer
You have started to work for a company that has a benefits package that includes contributions to a retirement account. You plan to put $160 per month into the account. The company will contribute 20%. The account is setup with an APR of 9.0% for 32 years.
What is the total monthly amount put into the account?
Excel gives the amount in your retirement account as $425,570.83 after 32 years.
How much more is in the account after 32 years than what you put in?
9514 1404 393
Answer:
$364,130.83
Step-by-step explanation:
You put in $160 monthly for 32 years, so your contribution is ...
$160×12×32 = $61,440
The difference between the account balance and your contribution is ...
$425,570.83 -$61,440 = $364,130.83
There is $364,130.83 more in the account than what you put in.
What is the length of the altitude of the equilateral triangle below?
Will give brainliest if correct.
The length of the altitude of the equilateral triangle below is E) 6√3.
The answer is E) 6√3.
The altitude of an equilateral triangle is the perpendicular line that is drawn from a vertex to the opposite side. The altitude bisects the opposite side and the angle at the vertex.
In this equilateral triangle, the side length is 6. The altitude bisects the opposite side, so the altitude is also 6. The angle at the vertex is 60 degrees, so the altitude forms a 30-60-90 triangle with the opposite side and the altitude.
The ratio of the side length to the altitude in a 30-60-90 triangle is 1:√3:2. So, the altitude is 6 * √3 = 6√3.
Therefore, the length of the altitude of the equilateral triangle is 6√3.
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Find the missing value for the exponential function represented by the table below.
Then select the graph that best fits the equation.
a.
8.232, Graph A
c.
9.213, Graph A
b.
8.756, Graph B
d.
-8.232, Graph B
Answer:
To find the missing value for the exponential function, we need to identify the common ratio (r) of the exponential function, as the function can be represented as y = a(r^x), where a is the initial value.
Starting with the first two points, we can set up an equation:
24 = a(r^-2)
16.8 = a(r^-1)
Dividing the second equation by the first equation, we get:
16.8/24 = (r^-1)/(r^-2)
0.7 = r
Now we can use the third point to solve for a:
11.76 = a(0.7^0)
11.76 = a
Finally, we can use the last point to solve for y:
y = 11.76(0.7^x)
Plugging in x = 1, we get:
y = 11.76(0.7)
y = 8.232
Therefore, the missing value is 8.232, and the graph that best fits the equation is Graph A.
The missing value for the exponential function is 8.232.
The graph that best fits the equation is Graph A.
What is exponential Function?An exponential function is a Mathematical function in the form f (x) = [tex]a^x[/tex], where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
We know the standard form of exponential function is
y = a[tex](r^x)[/tex], where a is the initial value.
Now, taking the first two points we get
24 = a([tex]r^{-2[/tex])
and, 16.8 = a([tex]r^{-1[/tex])
Dividing the above equation we get
16.8/24 = ([tex]r^{-1[/tex])/ ([tex]r^{-2[/tex])
r = 0.7
Now, find the value of a
11.76 = a([tex]0.7^0[/tex])
11.76 = a
So, y = 11.76([tex]0.7^x[/tex])
For x=1 the above equation gives
y = 11.76(0.7)
y = 8.232
and the graph that best fits the equation is Graph A.
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Each day you do homework for m minutes and watch tv for 30 minutes. which expression can you use to find out how many minutes you do both activities in 5 days. explain you reasoning.
a. 5m+30
b. 5(m+6)
c. 5(m+30)
d. m(5+30)
which expression has the same value as 5 - 3x when x = 4
Answer:
1.75x?
Step-by-step explanation:
I'm not sure if it has to be multiple numbers
What is the precent of increase from 75 to 93?
Answer:
24%
Step-by-step explanation:
Percentage increase formula
(New value - Original value) ÷ Original value
Then multiple by 100
(93-75)/75 = 0.24
0.24 × 100% = 24%
Help Please‼️ Thank you
A company has a total of 209 employees in the marketing and sales offices. For every 5 people employed in sales, there are 14 employed in marketing.
How many people in the office work in marketing?
How many people in the office work in sales?
Answer:
154 people work in marketing.
55 people work in sales.
Step-by-step explanation:
For every 5 people employed in sales, there are 14 employed in marketing.
This means that:
5/(5+14) = 5/19 of people work in sales.
14/(5+14) = 14/19 of people work in marketing.
Total of 209 people:
14*209/19 = 154
154 people work in marketing.
5*209/19 = 55
55 people work in sales.
HELPME PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
Step-by-step explanation:
0.25
B
The reciprocal of the sum of the number and 3?
Answer:
Could you please check if you've written the question properly
This question doesn't provide enough information
Please mark as brainliest for further answers :)Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax + By = C.
m = 4, (6,6)
Answer:
[tex]4x-y=18[/tex]
Step-by-step explanation:
We want to find the equation of a line in standard form with a slope of 4 and passes through the point (6, 6).
First, we can write it in point-slope form. Point-slope form is given by:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Where (x₁, y₁) is a point and m is the slope.
Substitute:
[tex]y-6=4(x-6)[/tex]
Distribute the right:
[tex]y-6=4x-24[/tex]
Now, we can separate all the variables and the constants. Subtract 4x from both sides:
[tex]-4x+y-6=-24[/tex]
Add add 6 to both sides:
[tex]-4x+y=-18[/tex]
Traditionally, A or the coefficient of x is always positive. Hence, we can divide both sides by -1 to acquire:
[tex]4x-y=18[/tex]
If the common ratio of a geometric sequence is less
than 0, what do you know about the signs of the
terms of the sequence? Explain.
Answer:
Step-by-step explanation:
it's going to alternate back and froth between positive and negative, maybe it will make one of those "telescoping" sequences
Wesley sailed his boat due north for 18 miles, then due east for another 18 miles. Approximately how
far is Wesley from where he began?
Answer:
8\sqrt(2)
Step-by-step explanation: