prove that:

cos20°cos40°cos80°=1/8​

Answer:

10

Step-by-step explanation:

(8-5)2 + 4, let's start with the first step, the parentheses.

(8-5)=3 , then we multiply by 2, so (3)*2 which equals 6. 6+4=10!

Hope this helps! :)

Answer: the answer is 19

Step-by-step explanation:

i just got this question and got it right!

Answer:

ab=32

Step-by-step explanation:

ab:bc

4:3

abc= 56

4+3=7

56÷7=8

ab= 8x4=32

bc=8x3=24 #

Answer:

\(\Huge \boxed{\boxed{\textbf{False}}}\)

Step-by-step explanation:

A quadrilateral must have four right angles in order to be a rectangle, not simply one. A quadrilateral with a single right angle, however, can take on a wide range of shapes, like a right angled triangle or an irregular quadrilateral. A shape having multiple sides and one right angle, for example, could be an irregular quadrilateral.

Learn more about quadrilaterals.

↳https://brainly.com/question/32189100

#BTH1

________________________________________________________

Answer:

x=-20

y=10

z=-19

Step-by-step explanation:

It is given that the shape is a rhombus, which means all four sides are equal. This means we can set up the equations:

5y-4=46   --> 5y=50 --> y=10

-2x+6=46 --> -2x=40 --> x=-20

-2z+8=46 --> -2z=38 --> z=-19

Solution

Step 1

Rate = (Portion/Base)*100%

Step 2

Rate = 16.3

Portion B = 4557

Let x reoresent the early

Step-by-step explanation:

Area of Semi Circle

The area of a semicircle is half of the area of the circle. As the area of a circle is πr2. So, the area of a semicircle is 1/2(πr2 ), where r is the radius.

The Dickey-Fuller test is a statistical test used to determine the presence of a unit root in a time series variable, which indicates the degree of integration of the variable. The null hypothesis of the test is that the variable has a unit root and is non-stationary.

The Dickey-Fuller test calculates a t-statistic based on the coefficient estimate of an autoregressive lagged term in a regression model. If the calculated t-statistic is less than the critical value, the null hypothesis is rejected, indicating that the variable is stationary and does not have a unit root. The augmented Dickey-Fuller (ADF) test extends the Dickey-Fuller test by including additional lagged terms in the regression model. The purpose of adding lagged terms is to capture any potential serial correlation and provide more accurate results. The ADF test allows for testing multiple lags and selecting the appropriate lag length using information criteria such as the Akaike Information Criterion (AIC) or the Schwarz Information Criterion (SIC). By including more lags, the ADF test improves the reliability of the test and provides more robust results. In summary, both the Dickey-Fuller and augmented Dickey-Fuller procedures are used to test for the order of integration of a time series variable. They examine whether the variable exhibits a unit root, indicating non-stationarity. The ADF test, with its inclusion of additional lagged terms, enhances the reliability of the test and allows for the selection of the optimal lag length.

Learn more about the Dickey-Fuller here: brainly.com/question/33545080

#SPJ11

The two buses are initially 515 miles apart and are moving toward each other. They will pass each other around 2:30 P.M.

To solve this problem, we can use the concept of relative speed. The combined speed of the two buses is the sum of their individual speeds, which is 48 + 55 = 103 miles per hour.

We can calculate the time it takes for the buses to meet by dividing the initial distance between them (515 miles) by their combined speed (103 miles per hour):

Time = Distance / Speed

Time = 515 miles / 103 miles per hour

Time ≈ 5 hours

Therefore, the two buses will pass each other approximately 5 hours after they start traveling toward each other. To determine the exact time, we need to consider the starting time (9:30 A.M.) and add 5 hours to it. So, they will pass each other around 2:30 P.M.

Learn more about miles per hour here:

https://brainly.com/question/31684642

#SPJ11

Answer:

9. The answer is 208

10. The anwer is 122°

11. m∠1 = 43°

   m∠2 = 17°

   m∠3 = 120°

   m∠4 = 60°

   m∠5 = 60°

   m∠6 = 60°

   m∠7 = 17°

   m∠8 = 120°

   m∠9 = 43°

Step-by-step explanation:

Long explanation that's why I don't have to put it. But I solved it on a scratch  paper so you don't have to doubt me. I hope it helps

9.each side of the equilateral triangle has a length of 190 units.

10.The angles of the triangle are approximately: Angle 1 = 29 degrees

Angle 2 ≈ 10.5 degrees and Angle 3 = 11x - 65 ≈ 139.7273 degrees

11. m∠1 = 43° , m∠2 = 17° , m∠3 = 120° ,  m∠4 = 60° , m∠5 = 60°, m∠6 = 60°

9.Given that two angles in a triangle are 60 degrees each, we have an equilateral triangle, where all three angles are equal to 60 degrees.

In an equilateral triangle, all three sides are also equal. Let's denote the length of each side as "s."

You are given two expressions for the sides: 1. First side: 7x + 19 2. Second side: 11x - 89

Since the triangle is equilateral, all three sides have the same length. Therefore, we can set up the following equation:

7x + 19 = 11x - 89

Now, solve for "x":

Subtract 7x from both sides: 19 = 4x - 89

Add 89 to both sides: 108 = 4x

Divide by 4: x = 27

Now that we have the value of "x," we can substitute it back into either of the expressions to find the length of each side. Let's use the first expression: First side = 7x + 19 = 7 * 27 + 19 = 190

So, each side of the equilateral triangle has a length of 190 units.

10. In a triangle, the sum of all three angles is always 180 degrees. Therefore, to find the value of the second angle when one angle is 29 degrees and the third angle is expressed as 11x - 65 degrees, we can set up the following equation:

Angle 1 + Angle 2 + Angle 3 = 180

Given: Angle 1 = 29 degrees, Angle 3 = 11x - 65 degrees

Let's denote Angle 2 as "A2": 29 + A2 + (11x - 65) = 180

Simplify the equation: A2 + 11x - 36 = 180

Now, you mentioned that Angle 2 is expressed as 11x - 65 degrees. So, we can equate this expression to "A2": 11x - 65 = A2

Substitute this expression for A2 back into the equation: 11x - 65 + 11x - 36 = 180

Combine like terms: 22x - 101 = 180

Add 101 to both sides: 22x = 281

Divide by 22: x = 281 / 22 ≈ 12.7727

Now that we have the value of "x," we can find Angle 2 using the expression 11x - 65: Angle 2 = 11x - 65 = 11 * 12.7727 - 65 ≈ 10.5 degrees

So, the angles of the triangle are approximately:

Angle 1 = 29 degrees

Angle 2 ≈ 10.5 degrees

Angle 3 = 11x - 65 ≈ 139.7273 degrees

11.m∠7 = 17° , m∠8 = 120° ,m∠9 = 43°

To know more about triangle:

https://brainly.com/question/25813512

#SPJ3

Answer:

Step-by-step explanation:

x + x + x + x - y - y - y - y - y - y - y - z - z - z - z - z + 1 + 1 + 1 + 1 + 1 + 1

Answer:

25 mins

Step-by-step explanation:

add both then divide by 2

Answer: 18x^2 + 9x - 5

Step-by-step explanation:

The resulting angle of 4 π / 3 is positive and coterminal with - 2π / 3

What are coterminal angles ?

Coterminal angles are the angles that have the identical initial facet and share the terminal aspects. these angles occupy the usual function, though their values are one of a kind. they are at the same sides, within the identical quadrant and their vertices are same. while the angles are moved clockwise or anticlockwise the terminal aspects coincide at the identical attitude.

Given angles measure of -2 pi / 3

So we have to add 2π to - 2 π / 3

- 2π / 3 + 2 π

 = 2π - 2π / 3

= 6 π - 2 π / 3

= 4π / 3

The resulting angle of 4 π / 3 is positive and coterminal with - 2π / 3

Therefore, The resulting angle of 4 π / 3 is positive and coterminal with

- 2π / 3

To learn more about Coterminal angles from given link.

https://brainly.com/question/29133154

#SPJ1

The current utilization of the road is 0.5833 or 58.33%. To calculate the current utilization of the road, we need to use the formula:

Utilization = Arrival rate x Drive time

Since we are assuming Poisson arrival and exponential drive times, we can use the following formulas:

Arrival rate = λ = 35 cars per hour
Drive time = 1/μ = 1/60 hours (since the drive time is 1 minute)

Therefore,

Utilization = 35 cars per hour x (1/60 hours)
Utilization = 0.5833 or 58.33%

So the current utilization of the road in Mountainside Village is 58.33%.
Hi! As the transportation director of Mountainside Village, we can calculate the current utilization of the road using the given terms. The peak traffic rate is 35 cars per hour, and the drive time without traffic is 1 minute (or 1/60 hours).

Since we're assuming Poisson arrival and exponential drive times, we can calculate the utilization (ρ) using the formula:

ρ = λ / μ

Here, λ represents the arrival rate (35 cars/hour), and μ represents the service rate, which is the inverse of the average drive time (1/60 hours).

So, μ = 1 / (1/60) = 60 cars/hour

Now, we can calculate the utilization:

ρ = 35 cars/hour / 60 cars/hour = 0.5833 (rounded to 4 decimal places)

Thus, the current utilization of the road is 0.5833 or 58.33%.

Visit here to learn more about exponential brainly.com/question/28596571

#SPJ11

8 is the right answer and the right value of X.

What are patterns in math's?

In mathematics, a pattern is a recurrent arrangement of numbers, forms, colors, and other elements. Any event or object can be related to the Pattern. An arrangement of numbers is referred to as a pattern when it is done in a certain way. Sometimes a pattern is referred to as a series.

What are different types of pattern in math's?

So,

3 cups of flour = 4 dozen cookies

using twice as much flour (6 cups) will result in 8 dozen cookies.

To know more about about patterns and series, visit:https://brainly.com/question/7043766

#SPJ4

Answer:

More than half of the people surveyed in each sample chose oranges as their favorite fruit. Since most people in each sample chose oranges, it is likely that oranges are the favorite fruit of the entire population.

I hope this helps you

Step-by-step explanation:

Answer:

A.) CPCTC (Please mark Brainliest)

Step-by-step explanation:

First triangle is proven congruent then parts are said to be congruent

If both checks have not cleared yet, $55 will come out of Morgan's account soon for the missing check(s).

To determine if both checks have cleared, we need to know the current status of Morgan's account. Without that information, we cannot definitively say whether the checks have cleared or not.

However, based on the information provided, we can calculate the total amount that will come out of Morgan's account soon for the missing check(s).

The total amount that will come out of Morgan's account soon can be calculated as the sum of the $30 fee and the $25 birthday gift, which is $55 in total.

Know more about Morgan's account here:

https://brainly.com/question/29195362

#SPJ11

A recursive formula to represent the height of the nth bounce of the ball is: aₙ = 3.25(0.74ⁿ ⁻ ¹)

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

aₙ = a(qⁿ⁻¹)

where:

a is the first term

In this problem, the first bounce is 3.25 feet and each successive bounce is 74% of the previous bounce's height, hence the first term and the common ratio are given, respectively, by:

a = 3.25

q = 74% = 0.74

Hence, the height of the nth bounce is given by:

aₙ = 3.25(0.74ⁿ ⁻ ¹)

Read more about Recursive Formula at: https://brainly.com/question/1275192

#SPJ1

The value of y in the right triangle is 9.3 units.

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, let's find the value of y in the right angle triangle.

Using trigonometric ratios,

sin 51 = opposite / hypotenuse

sin 51 = y / 12

cross multiply

12 sin 51  =y

y = 12 × 0.77714596145

y = 9.32575153748

y = 9.3 units

learn more on right triangle here: brainly.com/question/28975129

#SPJ1

Answer:

264

Step-by-step explanation:

Set a proportion:

220 : 1 = x = 1.2

x = (220×1.2)÷1 = 264

Answer:

To find the actual height of the statue, we need to use the scale factor to convert the height of the drawing to the actual height of the statue:

actual height = drawing height × scale factor

actual height = 1.2 feet × 220

actual height = 264 feet

Therefore, the actual height of the statue is 264 feet. Answer: A) 264 feet.

Answer:

The rate that the distance between the police car and car is changing = 3 m/s

Step-by-step explanation:

The given speed of the police car = 35 mph

The speed of the speeding car = 30 mph

The position of the police car = 0.75 miles north

The position of the speeding car = 1 miles east

The distance of the police car from the speeding car, d = √(0.75² + 1²) = 1.25

d² = x² + y²

2d·dd/dt = 2x·dx/dt + 2·y·dy/dt

Where;

dx/dt = 30 mph

dy/dt = -35 mph

x = 1

y = 0.75

Substituting gives;

2×1.25 ×dd/dt = 2×1×30 - 2×0.75×35

2×1.25 ×dd/dt = 7.5

dd/dt = 7.5/2.5 = 3

dd/dt = 3 m/s

The rate that the distance between the police car and car is changing = dd/dt = 3 m/s

Answer:

The answer is increasing by 3 mph

Step-by-step explanation:

The only factoring you need to do is already done for you:

x² + x - 12 = (x + 4) (x - 3)

What you're asked to do is decompose

(3x - 4) / (x² + x - 12)

into partial fractions, i.e. find a and b such that

(3x - 4) / (x² + x - 12) = a / (x + 4) + b / (x - 3)

Multiply both sides by x² + x - 12 :

3x - 4 = a (x - 3) + b (x + 4)

3x - 4 = (a + b) x + (-3a + 4b)

So we have

a + b = 3

-3a + 4b = -4

and solving this system gives

a = 16/7 and b = 5/7

so you should submit the numbers in bold:

(3x - 4) / (x² + x - 12) = 16 / (7 (x + 4)) + 5 / (7 (x - 3))

Answer:

0.8

Step-by-step explanation:we just need to divided 19 by 23

and rounded to the nearest tenth it’s .8

Hopes this helps please mark brainliest

Answer:

x = 3

Step-by-step explanation:

Setup a proportion

\(\frac{CB}{CA} =\frac{DB}{DA} \\\frac{4}{3} =\frac{x}{2.25} \\3x=9\\\frac{3x}{3} =\frac{9}{3} \\x=3\)

8z + 7w;    z = 6;   w = 7

8z + 7w  

=(8x6) + (7x7)

=48 + 49

=97

The answer is 97.

Answer:

97

Step-by-step explanation:

BIG BRAIN

Answer: Option D: $7803

Step-by-step explanation:

just multiply 459 by 17 and you get your answer.

Sally deposits $1,600 into a savings account earning a simple interest rate of 7.00%., then the interest Sally will earn after 180 days is $55.09.

To calculate the amount of interest Sally will earn after 180 days on depositing $1600 in a savings account with a simple interest rate of 7%, the following formula applies;Interest = P × r × t

where;P is the principal (amount deposited),r is the annual interest rate (7%),t is the time in years or fraction of a year.

We can convert 180 days to fraction of a year by dividing it by the total number of days in a year as follows;

180 days ÷ 365 days = 0.49315068 years

Substitute the values of P, r and t to calculate the interest;

Interest = 1600 × 0.07 × 0.49315068

Interest = 55.09

To two decimal places, the interest Sally will earn after 180 days is $55.09.

Learn more about interest rates at

https://brainly.com/question/2437603

#SPJ11