in a 41-49 right triangle, the hypotenuse is 28.83 centimeters. if cos 41= 0.7547, find the length of the side opposite the 49 angle. Estimate your answer to three decimal places

Answers

Answer 1

Answer:

21.758

Step-by-step explanation:

If you draw the triangle out, you find that cos 41 = x/28.83, when x is equal to the side opposite the 49 angle

Simplify this into 28.83 cos 41, and plug it into the calculator and you get

21.75827.


Related Questions

Age of Yusuf is 24 years more than half the age of Ajay. 5 years before sum of their ages was 41. Find their present ages.​

Answers

Answer:

Yusuf is 33 and Ajay is 18

Step-by-step explanation:

Let Y and A stand for the ages of Yusuf and Ajay, respectively.

We are told that:

(1/2)A + 24 = Y [Age of Yusuf is 24 years more than half the age of Ajay]

(A-5)+(Y-5) = 41  [5 years before sum of their ages was 41]

Take the definition of Y in the first equation and use it in the second:

Y = (1/2)A+24 from the first equation

(A-5)+(Y-5) = 41    The second equation

(A-5)+(((1/2)A + 24)-5) = 41  Replace Y with (1/2)A+24

(A-5)+(1/2)A + 24-5 = 41

A-5+(1/2)A + 24-5 = 41

(3/2)A + 14 = 41

(3/2)A = 27

A = (2/3)(27)

A = 18

Ajay is 18 years old

Yusuf is Y=(1/2)(18)+24

Yusuf is 33 years old

====

Check:  Is Yusuf 24 years more than half the age of Ajay?

Ajay = 18, so (1/2)18 = 9.  Add 24 years to get 33.  Yes, this works since Yusuf is 33 years old

Was the sum of their ages = 41 five years ago?

Ajay would have been 13 and Yusuf would have been 28  28+13 = 41  YES

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Values that are much higher or much lower than others in a data set are _______________.
A. outsiders
B. outfielders
C. errors
D. outliers

Answers

Answer:

outliers

explanation:

Answer:

the right answer is

no d (outliers)

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Answer:

O A. 708.01

Step-by-step explanation:

Volume of a cone = 3.14 r^2 h/3

Volume of a cone = 3.14 7^2 14/3

Volume of a cone = 3.14 (49) 14/3

Volume of a cone = 3.14 (686)/3

Volume of a cone = 2154/3

Volume of a cone = 718.01

please help me in this questions....​

Answers

Part (i)

I'm going to use the notation T(n) instead of [tex]T_n[/tex]

To find the first term, we plug in n = 1

T(n) = 2 - 3n

T(1) = 2 - 3(1)

T(1) = -1

The first term is -1

Repeat for n = 2 to find the second term

T(n) = 2 - 3n

T(2) = 2 - 3(2)

T(2) = -4

The second term is -4

Answers: -1, -4

==============================================

Part (ii)

Plug in T(n) = -61 and solve for n

T(n) = 2 - 3n

-61 = 2 - 3n

-61-2 = -3n

-63 = -3n

-3n = -63

n = -63/(-3)

n = 21

Note that plugging in n = 21 leads to T(21) = -61, similar to how we computed the items back in part (i).

Answer:  21st term

===============================================

Part (iii)

We're given that T(n) = 2 - 3n

Let's compute T(2n). We do so by replacing every copy of n with 2n like so

T(n) = 2 - 3n

T(2n) = 2 - 3(2n)

T(2n) = 2 - 6n

Now subtract T(2n) from T(n)

T(n) - T(2n) = (2-3n) - (2-6n)

T(n) - T(2n) = 2-3n - 2+6n

T(n) - T(2n) = 3n

Then set this equal to 24 and solve for n

T(n) - T(2n) = 24

3n = 24

n = 24/3

n = 8

This means 2n = 2*8 = 16. So subtracting T(8) - T(16) will get us 24.

Answer: 8

12. solve for a.
help please

Answers

Answer:

okay so given :-

R = x(A+B)

now open bracket =>

R = Ax + Bx

shifting Bx

R - Bx = Ax

so now shift x to lhs and finally we get

A = (R - Bx)/x option d is correct

please brainliest <3

Alex owns 80 orange trees. He has estimated that there are between 35 and 40 oranges on each tree. Which is the closest estimate to the total number of oranges?

Answers

2,800-3,200

Explanation: multiply 35 and 40 by 80 since those are the variables

please! help me i need it rn

Answers

The answer is d 1 1/2 of chicken for 3 salads

Answer:

It is the last option.

Jordan needs 1 1/2 cups of diced chicken for 3 salads.

To make this easy for you.

1. start on the x axis which is number of salads.

2. Go to the number 3 (of the x axis which is the number of salads)

3. Find your way up to the point marked.

4. see what is your number in the y-axis (in this case it is 1 1/2.

Step-by-step explanation:

I hope it helps!

Solve: 9y+1 = 32y+1 + 54

Answers

Answer:

9y+1=32y+1+54

collect like terms, a symbol changes once it crosses the equal to sign =

9y-32y=1+54-1

-23y=54

divide both sides by -23

-23y/-23=54/-23

-23 will cancel -23 to give y

y=54/-23

y=-2.4 or 2 whole number 8/23

Answer: y is -54/23

Step-by-step explanation:

Vera uploaded a hilarious video of a squirrel to a funny video website. It was viewed 320 times on the first day. Each day since then, the number of views was 25% more than the day before.

Let f(n) be the number of views Vera's video for on the nth day side she uploaded it.

What kind of sequence is it?
A. Arithmetic sequence
B. Geometric Sequence

Write an explicit formula for the sequence.
f(n)=

Answers

Answer:

Step-by-step explanation:

On first day , the video was viewed = 320 times .

We are given that Each day since then, the number of views was 25% more than the day before. This means the likes are increasing 1.25 per day .

So, this situation forms G.P.

Where common ratio r = 1.25

First term = f(1) = 320

Formula of nth term in G.P. =

So, nth term of the given situation :

Where f(n) denotes the number of views on nth day .

So, the number of views Vera's video got on the nth day =

Step-by-step explanation:

7x-3/4=x what is the process to answer fasttttttt please

Answers

Answer:

x= 1/8 is the correct answer

Answer:

1/8

Step-by-step explanation:

7x-x=3/4

6x=3/4

6x/6=3/4÷6

x=1/8

The triangle in Quadrant IV is the image of the triangle in Quadrant II after a counterclockwise rotation about the origin. What is the angle of rotation?

A.) 90
B.) 180
C.) 270
D.) 360​

Answers

Answer:

A. 90 degrees

Step-by-step explanation:

Look this picture :]

The length of a rectangle is 10 feet longer than it is wide. If each side is increased 10 feet, then the area is multiplied by 2. What was the size of the original rectangle?

Answers

Answer:

Size of the original rectangle is 30*20=600

Step-by-step explanation:

Let the length and width of rectangle be x+10 and x. After increasing the dimensions, the new length and width are x+20 and x+10

ATQ, (x+20)(x+10)=2(x+10)(x), x=20.

complete the table
x - 2 7 10
y - 30 36

Answers

Answer:

x-15

y 42

Step-by-step explanation:

adhiambo buys t litres of milk everyday.A litre of milk is she 25.She spends sh 3000 on milk on November.How many litres does she buy every day?​

Answers

3000/30=100every day

100/25=4
So she buys 4 L of milk every day.
So t=4.

Which situations can be presented by an exponential function?

Select EACH correct answer

A.In a structure made of soup cans, each row has 6 more cans that the previous row

B.a doctor’s office accepts 20 new patients each month

C.The value of a motorcycle decrease by 12% each year

D.Every year, the number of online subscribers to a service is 4 times what it was the previous year

Answers

Answer:

C.The value of a motorcycle decrease by 12% each year

D.Every year, the number of online subscribers to a service is 4 times what it was the previous year

Step-by-step explanation:

A function is said to be exponential if it changes (increases or decreases) by a fixed percentage or proportion over a certain period of time.

From the options given, only options C and D is defined as changing based on a certain percentage. And option D cgbages by a clfixed proportion from the initial value.

The option that represents the exponential function are situation C) and D) and this can be determined by making the mathematical expression of each situation.

Try to make a mathematical expression of the situation given below in order to check which option shows an exponential function.

A) According to the given data, in the first row there are 6 cans, in the second row there are 12 cans, in the third row there are 18 cans, and so on. Now, let 'a' be the total number of rows then, the mathematical expression of this situation is given by:

= 6a

This situation is not representing the exponential function.

B) According to the given data, in the first month there are 20 patients, in the second month there are 40 patients, and so on. Let the total number of months be 'b' then the mathematical expression is given by:

= 20b

This situation is not representing the exponential function.

C) According to the given data, in the first year the value of the motorcycle decrease 12%, in the second month the value decreased by 24% of the initial value, and so on. So, the price of motorcycle decreases exponentially. Therefore, this option is correct.

D) According to the given data, every year, the number of online subscribers to service is 4 times what it was the previous year. The mathematical expression of this situation is:

= [tex]4^x[/tex]

where 'x' is the number of years. Therefore, this option is correct.

For more information, refer to the link given below:

https://brainly.com/question/2263981

The equation k(x+1)^2/3+(y+2)^2/4=1 represent circle if

Answers

Answer:

Can you Specify the Question?

| the British 50-pence coin shown on the right is in the shape of a
regular heptagon. Determine the measure of one interior angle.
Show your work.

Answers

For a regular polygon with n sides, interior angle

= [(n-2) × 180°]/n

So, interior angle of this regular heptagon shape

= [(7 - 2) × 180°]/7

= (5 × 180°)/7

= 900°/7

= (900/7)°

= 128.571° [approximately]

Answer:

hello,

Step-by-step explanation:

center angle : 360°/7 °

half interior angle=0.5*(180-360/7)=900/14=450/7 = 64 ° +2/7° ≈64.3 °

interior angle= 128°+4/7°≈128.6 °

Write an algebraic expression for the word phrase: the quotient of r and 12. Or. 12 O p=12 Or- 12 h Ort 12​

Answers

Answer:

r÷12

Step-by-step explanation:

quotient means division

r÷12

Christopher walks 5km south then walks on a bearing of 036º until he is due east of his starting point. How far is he from his starting point, to 1 decimal place?

Answers

Christopher's distance from his starting point is 3.6 km

Since Christopher initially walks South 5 km and then walks on a bearing of of 036º until he is due east of his starting point.

His distance South, his distance from his starting point and his distance from his 036º bearing, all form a right-angled triangle.

This right-angled triangle with opposite side to the angle 036º, as his distance from his starting point, x and the adjacent side to the angle 036º, as his distance 5 km south.

Since we have both the opposite and adjacent sides of a right-angled triangle,

From trigonometric ratios,

tanФ = opposite/adjacent

tanФ = x/5 km

Now Ф = 036º

So, tan36º = x/5km

x = 5 km(tan36º)

x = 5 km (0.7265)

x = 3.633 km

x ≅ 3.6 km to 1 decimal place.

So, Christopher's distance from his starting point is 3.6 km.

Learn more about bearing here:

https://brainly.com/question/11684993

3 x 5(0 + 2) - 4
O Α. Ο
ling
B.
11
O C. 26
O D. 33

Answers

Answer:

26 is the answer

Step-by-step explanation:

hope this helps you

A plumbers plastic pipe is 4 m long, has an inside diameter of 4.0 cm and an outside diameter of 5.0cm. What is the volume of the plastic in the pipe?

Answers

Answer: [tex]V=0.0028278\ m^3[/tex]

Step-by-step explanation:

Given

Length of the pipe [tex]l=4\ m[/tex]

Inside diameter of the pipe [tex]d_i=4\ cm[/tex]

Outside diameter of the pipe [tex]d_o=5\ cm[/tex]

Volume of the pipe

[tex]\Rightarrow V=\dfrac{\pi }{4}[d_o^2-d_i^2]\\\\\text{Insert the values}\\\\\Rightarrow V=\dfrac{\pi}{4}[5^2-4^2]\times 10^{-4}\times 4\\\\\Rightarrow V=28.278\times 10^{-4}\ m^3\\\\\Rightarrow V=0.0028278\ m^3[/tex]

Focus on math practices
Reasoning How are "T minus 4" and "T plus 4" related?
In rocket use

Answers

Answer:

Both T+4 and T-4 are the same distance away from 4

T would be the launch time of the rocket...

T - 4 is 4 units of time (seconds)  prior to launch...

T+ 4 is 4 units of time (seconds) after the launch

Step-by-step explanation:

Show that (x+1)(x+3)(x+5) can be written in the form ax3+bx2+cx+d where a b c and d are all positive intergers

Answers

Answer:

Step-by-step explanation:

(x+1)(x+3)(x+5), multiply first two parenthesis

(x² +3x +x +3)(x+5), combine like terms

(x² +4x +3) (x+5), multiply the parenthesis

(x³ +5x² +4x² +20x +3x +15), combine like terms

x³ +9x² +23x +15 is in the form ax³ +bx² +cx +d

a=1, b=9, c=23, d=15 are all positive integers

Round to the nearest penny.
$11,579.9998

Answers

Answer:

Step-by-step explanation:

So basically, we would need to divide to the nearest 0.01 or hundredths place. All you would need to do is round from each place which would soon get you to 11,580.00. Simple right!!

I hope this helps!! Have a good rest of your day! :)

Quadrilateral ABCD has vertices at A(0,0), B(0,2), C(6,2), and D(6,0). Find the vertices of the quadrilateral after a dilation with scale factor 3/2.

Answers

Answer:

A=0

B=0,3

C=9,3

D=9,0

Step-by-step explanation:

Multiplies all the vertices bay scale factor 3/2

Given the following coordinates the glide reflection transformation​

Answers

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

A (4,  2 ) → A' (4, - 2 )

B (7, 0 ) → B' (7, 0 )

C (9, 3 ) → C' (9, - 3 )

A translation of a shift to the left of 3 units is a horizontal shift.

This means subtracting 3 fro the x- coordinate and leaving the y- coordinate

A' (4, - 2 ) → A'' (4 - 3, - 2 ) → A'' (1, - 2 )

B' (7, 0 ) → B'' (7 - 3, 0 ) → B'' (4, 0 )

C' (9, - 3 ) → C'' (9 - 3, - 3 ) → C'' (6, - 3 )

What is the y intercept of the given graph?

Answers

Answer:

The answer would be -2.

Step-by-step explanation:You have to look at where the line is hitting.It has to be perfectly on the corners of the square. The bottom of the y-intercept is always negative and the top is always positive but for the x-intercept the right side is positive and the left side is negative. I hope that helped you!!

An equation parallel to y = – 3x + 2 through (2,3)

Answers

Answer:

y = -3x+9

Step-by-step explanation:

Parallel lines have the same slope

y = -3x+2  

This is in slope intercept form where y =mx+b where m is the slope

The slope is -3

y = -3x+b

Using the point (2,3)

3 = -3(2)+b

3 = -6+b

Add 6 to each side

3+6 = b

9=b

y = -3x+9

Answer:

slope (m) = -3

3= -3(2)+b

b = 9

y=mx+b → y= -3x+9

OAmalOHopeO

Given f (x) = -x + 2, find f(0).

Answers

Answer:

f(0) =2

Step-by-step explanation:

f (x) = -x + 2

Let x = 0

f(0) = -0+2

f(0) = 2

Answer:

f(0) = 2

Step-by-step explanation:

Substitute x = 0 into f(x)

f(0) = - 0 + 2 = 0 + 2 = 2

Which of the following is a solution of this equation?
A.
(5,0)

B.
(-1, 1)

C.
(3,-1)

D.
(-2,-3)

Answers

Answer:

D. (-2,-3)

Step-by-step explanation:

substitute the point values of [tex]x[/tex] and [tex]y[/tex] into the equation [tex]y=\frac{1}{2}x-2[/tex]

A. [tex]0=\frac{1}{2}(5)-2[/tex]

   [tex]0=2.5-2[/tex]

   [tex]0[/tex] ≠ [tex]0.5[/tex]

B. [tex]1=\frac{1}{2}(-1)-2[/tex]

   [tex]1=-.5-2[/tex]

   [tex]1[/tex] ≠ [tex]-2.5[/tex]

C. [tex]-1=\frac{1}{2}(3)-2[/tex]

   [tex]-1=1.5-2[/tex]

   [tex]-1[/tex] ≠ [tex]-0.5[/tex]

D. [tex]-3=\frac{1}{2}(-2)-2[/tex]

   [tex]-3=-1-2[/tex]

   [tex]-3=-3[/tex]

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