277
If =
then the value of cos 0 =-
1
Part A:
What is another angle, 8, that has the same value as cos
277
if 0 < < 2?
Part B:
Name two angles that have the opposite value of cos
277
if 0 < < 27.

Answer:

x = 49

Step-by-step explanation:

Let's solve for x in the first triangle by applying the leg rule.

Leg rule is given as: hypotenuse/leg = leg/part

Hypotenuse = x

Leg = 28

Part = 16

Plug in the values into the equation

x/28 = 28/16

Cross multiply

x*16 = 28*28

16x = 784

x = 784/16

x = 49

✔️Let's check our answer to see if we would get the same value of x for the other triangle. Apply the same leg rule.

Hypotenuse = x

Leg = 21

Part = 9

Thus:

x/21 = 21/9

Cross multiply

x*9 = 21*21

9x = 441

x = 441/9

x = 49

✔️We have the same value. Therefore, x = 49 is the correct answer.

Answer:

There are 2 possible solutions

Step-by-step explanation:

Given

x² = 100 ( take the square root of both sides )

x = ± [tex]\sqrt{100}[/tex] = ± 10

Since 10 × 10 = 100 and - 10 × - 10 = 100

solutions are x = 10 , x = - 10

Answer:

Slope = -1

Step-by-step explanation:

The equation we use for slope is as follows:

m = (y2 - y1) / (x2 - x1)

The graph gives us four points, but we only need two to solve our equation: (-2,5) and (2,1)

Now, we need to define which variable goes with which point:

Y2 = 1

X2 = 2

Y1 = 5

X1 = -2

If we plug these into our equation we get the following:

m = (1 - 5) / (2 - -2)

m = (-4) / (-4)

m = -1

Our slope for this graph = -1

I hope this helps!

-TheBusinessMan

Answer:

Era is x and number of wins is y

Edit: I would go up by two's on the y axis and .5 on the x axis

Answer:

Step-by-step explanation:

There is an error in the question. The table does not show two linear functions.  y₁ is a linear function, but   y₂ is not a straight line. It makes a bend at (-6,1).

Line 1 goes through (-12,-3) and (0,5).

slope  = (5-(-3))/(0-(-12)) = 2/3

y-intercept = 5

y₁ = (2/3)x + 5

Line 2 goes through (-12,-2) and (-6,1).

slope = (1-(-2))/(-6-(-12)) = 1/2

y₂ = (1/2)x + 4

(2/3)x + 5 = (1/2)x + 4

x = -6

y = (2/3)x + 5 = 1

Solution: (-6,1)

Answer:

[tex] \huge \red{ c_3 = - 1}[/tex]

Step-by-step explanation:

[tex]c_1 = 1 \\ \\

c_n= - 2c_{n-1}+5 \\ \\ c_2 = - 2c_{2-1}+5 \\ \\ c_2 = - 2c_{1}+5 \\ \\ c_2 = - 2(1)+5 \\ \\ c_2 = - 2+5 \\ \\ \huge \purple{c_2 =3} \\ \\ c_3 = - 2c_{3-1}+5 \\ \\ c_3 = - 2c_{2}+5 \\ \\ c_3 = - 2(3)+5 \\ \\ c_3= - 6+5 \\ \\ \huge \red{ c_3 = - 1}[/tex]

Answer:

56.7°

Step-by-step explanation:

A rectangle is 5.1 cm wide and each diagonal is 9.3 cm long. What is the measure of the angle between a diagonal and the shorter side of the rectangle to the nearest tenth of a degree?

We solve this question using the Trigonometric function of Sine

From the question, we are told that:

A rectangle is 5.1 cm wide

and each diagonal is 9.3 cm long.

Since we have a diagonal, this means the shape is transformed to a triangle.

The width of the rectangle = Adjacent side of a triangle = 5.1cm

The diagonal of the rectangle = Hypotenuse = 9.3cm

Hence,

cosθ = Adjacent/Hypotenuse

cosθ = 5.1/9.3

cosθ = 0.5483870968

θ = arccos(0.5483870968)

θ = 56.743568714°

Approximately = 56.7°

The measure of the angle is 56.7°

Answer:

L= 15

W= 25

Step-by-step explanation:

w(w-10) =375

w^2-10w-375=0

w=25 or -15

Length=25-10 =15

The length and width of the rectangle field are 15 yards and 25 yards if the surface covered by a rectangular field is 375 square yards.

It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let L and W be the length and width of the rectangle.

The area of the rectangular field is 375 square yards

W = 10 + L

As we know,

Area = LW

375 = L(10 + L)

375 = 10L + L²

L²+ 10L - 375 = 0

After solving the above quadratic equation:

L = 15 yards

L = -25 (length cannot be negative)

Plug L in the equation W = 10 + L to get the width of the rectangular field

W = 10 + 15

W = 25 yards

Thus, the length and width of the rectangle field are 15 yards and 25 yards if the surface covered by a rectangular field is 375 square yards.

Learn more about the rectangle here:

https://brainly.com/question/15019502

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Answer:

i think is 1

Step-by-step explanation:

Answer:

P(15) = (200,000)(1.08)15 = 634,434

Step-by-step explanation:

If the population at the beginning of 2000 was 200,000

Then the growth equation is P = Po(1.08)(y)     where year year 2000 was year 1 or y = 1

At the end of 2015 or  2015-2000 = 15 years later, or at the end of the 15th year

Answer:

118.71$

Step-by-step explanation:

Answer:

x = 2/7 or 0.285714

Step-by-step explanation:

Your welcome :)

Answer:

Two thousands or 2000

Step-by-step explanation:

2 is in the 4th column from the right which is the thousands

Answer:

thousands place

Step-by-step explanation:

Answer:

Step-by-step explanation:

cost = 12,000

list price = 1.30×12,000 = 15,600

discounted price = 0.80×15,600 = 12,480

purchase price = (1+VAT)×12,480 = 14,102.40

1+VAT = 14,102.40/12,480 = 1.13

VAT = 0.13 = 13%

Answer:

[tex]g(x) = \frac{ - 19}{3} x \: + 2[/tex]

I hope that is right

Answer:

A.) The reaper separated cotton fibers from cotton seed much faster than the manual

method used earlier.

B.) The reaper made it possible to communicate very quickly across a wire.

C.) The reaper replaced the old method of sewing clothes by hand.

D.) The reaper could cut grain much faster than the older method of harvesting by hand

with a scythe.Step-by-step explanation:

Answer:

Step-by-step explanation:

From the given information:

The uniform distribution can be represented by:

[tex]f_x(x) = \dfrac{1}{1500} ; o \le x \le \ 1500[/tex]

The function of the insurance is:

[tex]I(x) = \left \{ {{0, \ \ \ x \le 250} \atop {x -20 , \ \ \ \ \ 250 \le x \le 1500}} \right.[/tex]

Hence, the variance of the insurance can also be an account forum.

[tex]Var [I_{(x}) = E [I^2(x)] - [E(I(x)]^2[/tex]

here;

[tex]E[I(x)] = \int f_x(x) I (x) \ sx[/tex]

[tex]E[I(x)] = \dfrac{1}{1500} \int ^{1500}_{250{ (x- 250) \ dx[/tex]

[tex]= \dfrac{1}{1500 } \dfrac{(x - 250)^2}{2} \Big |^{1500}_{250}[/tex]

[tex]\dfrac{5}{12} \times 1250[/tex]

Similarly;

[tex]E[I^2(x)] = \int f_x(x) I^2 (x) \ sx[/tex]

[tex]E[I(x)] = \dfrac{1}{1500} \int ^{1500}_{250{ (x- 250)^2 \ dx[/tex]

[tex]= \dfrac{1}{1500 } \dfrac{(x - 250)^3}{3} \Big |^{1500}_{250}[/tex]

[tex]\dfrac{5}{18} \times 1250^2[/tex]

∴

[tex]Var {I(x)} = 1250^2 \Big [ \dfrac{5}{18} - \dfrac{25}{144}][/tex]

Finally, the standard deviation  of the insurance payment is:

[tex]= \sqrt{Var(I(x))}[/tex]

[tex]= 1250 \sqrt{\dfrac{5}{48}}[/tex]

≅ 404

Answer:

1.ASA

2.AAS

3.?

4.ASA

5.SSS

6.SSS

7.ASA

Answer:

Socialisation is the process through which individuals learn the norms and values of society, leading to social cohesion and a functional society

hope it helps you

please mark me as brainlist

Step-by-step explanation:

mixing up and following social norms and values as a member of the society is called socialization.

Answer:

45 minutes

Step-by-step explanation:

They both have 127 pages after 45 minutes.

Answer:

12 years if interest is paid yearly

12 months if interest is paid monthly

Step-by-step explanation:

2.75% of $1500 is $41.25 interest per period

$1995-$1500 = $495 total interest

$495 ÷ $41.25 = 12 periods

Therefore it takes 12 interest periods to reach $1995, so the answer is 12 months or 12 years depending on how often interest is paid.

Answer:

?????????

Step-by-step explanation:

wheres the equation

Answer:

$13,160

Step-by-step explanation:

5,600*.03=168

168*45= 7,560

5,600+7,560= 13,160

The amount of money in the account of Tom after 3 years with simple interest of 9.5 % is $6135.

Calculating the amount of interest that will be charged on a loan can be done quickly and easily using the simple interest formula. To calculate the simple interest, we need to multiply the principle amount, the number of days between payments (in years), and the interest rate (in decimals).

The formula to calculate Simple Interest is:

SI  = P*I*T

Here, P = Principal amount,

I = interest rate (in  decimals),

T = time duration (in years).

putting the values from question:

SI = 5600 * 0.095*3

Simple Interest = 535

The money in the account will be the sum of principal amount and the simple interest.

Final amount = Principal amount + Simple Interest.

A = 5600 + 535

A = 6135

Therefore, the money in the account after 3 years is $6135 .

To know more about simple interest, go to link

brainly.com/question/2294792

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complete question;

Tom deposits $5,600 into a savings account.  The simple interest rate for the account is 9.5%.  If Tom does not withdraw any money from the account, how much money will be in the account after 3 years?

First multiply the second ( ) with 3x then multiply it with -2 and add them together So

(3x-2)(5x^2-3x+1)

=3x(5x^2-3x+1)+ -2*(5x^2-3x+1)

=15x^3-9x^2+3x -10x^2+6x-2

=15x^3-19x^2+9x-2

Done!

Answer:

6 no 3 yes

Step-by-step explanation:

for 6 hours no because she already used 200 and now she only has 100 to spend

for 3 hours yes because that fee would be UNDER her budget

Answer:

80%

Step-by-step explanation:

80÷64= 0.8

0.8 = 80%

You just need to divide the number of students that play sports by the total number of students and you'll get your answer