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From the trignometric ratio of right angle triangle :

The ratio for the tangent of any angle of right angle triangle is the ratio of the side Opposite to that angle to the adjacent side of that angle :

In the given triangle :The side opposite to the angle A is BC and the adjacent side AC

So,

In the figure : we have AC = 76, BC = 31 and AB = 82.1

Substitute the value and simplify :

Thus, tan A = 0.41

Now, the side opposite to the angle B is AC and the adjacent side is BC

thus :

In the figure : we have AC = 76, BC = 31 and AB = 82.1

Substitute the value and simplify :

tan B = 2.451

Answer :

tanA = 0.41

tanB = 2.45

Let's begin by listing out the information given to us:

To solve this 3 variable equation, let's eliminate one of the variables

add equation 1 & 3, we have:

Substitute z into equation 1, 2 & 3

Solve as a simultaneous equation, we have:

Substitute y = -4 into x + 6y = -23, we have:

Substitute y = -4 into z = 5y + 24, we have:

EXPLANATION

Given the function f(x)= -x ²+4x - 3, the statements that apply are:

A) TRUE

B) FALSE

C) TRUE

D) FALSE

E) FALSE

F) TRUE

G) TRUE

H) FALSE

lets set up a proportion here

cameroon runs 3.6 miles for every 4 miles Juliette runs

3.6 miles(C).................................................... 4 miles (J)

? miles(C)...........................................................7.6 miles (J)

cameron will run= (7.6*3.6)/4=6.84 miles

Cameron will run 6.84 miles

A area= 72

Q area =5

So, if we multiply the A area by the square of the scale factor ( since they are areas) we obtain area Q:

72 x^2 = 5

Solving for x:

x^2 = 5/72

x = √(5/72)

x= 0.26

An isosceles triangle in the one that has 2 equal sides, means that it also has two equal angles

this means that:

using the properties of the triangle

Determine the square root of 58.

So answer is 7.6.

4149000000 is the approximation age of oldest rock. The precise amount is not known with certainty. Similar to proximity or approximately, the word "approximation" is derived from the Latin Proximus, which meaning "nearest."

The precise amount is not known with certainty. Similar to proximity or approximately, the word "approximation" is derived from the Latin Proximus, which meaning "nearest." The closest estimate you can make without knowing something's exact size or measurement is called an approximation.

Despite the fact that approximation is most usually used in relation to numbers, it is also regularly used in relation to mathematical functions, forms, and physical laws. In science, the term "approximation" can refer to using a less complex method or model when the proper one is challenging to use.

For this, sampling techniques like Markov chain Monte Carlo and significance sampling as well as variationally methods like mean-field approximations and assumed density filtering have been used.

To learn more about approximation refer to:

https://brainly.com/question/28802280

#SPJ1

In any triangle, the sum of the internal angle is always up to 180º.

Then, for triangle ABC:

Use it to solve x:

In the triangle ACD:

Use it to solve y:

The vertex form of a parabola is given by:

Where the vertex is:

for (1,-2):

therefore:

Solution

Step 1:

Write the lateral surface area or curved surface area of a cylinder:

Step 2:

Write the given data

Height h = 8ft

Radius r = 4 ft

Step 3:

Substitute in the formula to find the lateral surface area.

Final answer

201.1

4.8 mi

Explanation

Step 1

Set the equations

a) uphill

let

rate1= 1.5 miles per hour

time= unknow= t1

distance = x

b) down hille

rate=4 miles per hour

time=time2=one hour less than the time to climb = t1-1

distance = x

so

replacing

Step 2

solve the equations

set t1= t1

it means the distance to the top of the mountain is 2.4 miles, so the entire hike is twice that amount

total distance=2.4 mi*2

total distance=4.8 miles

Step 3

now, the times

table

I hope this helps you

Explanation

Step 1

the density of an object is given by:

Let

mass: 400 grams

length's box=2 cm

width´s box= 2 cm

height's box= 1 cm

Step 2

find the volume of the box

Step 3

finally, replace the values of mass and volume in the density equation

I hope this helps you

The monthly payment formula is :

where M is the monthly payment

P is the Financed amount

r is the rate of interest monthly, annual rate divided by 12

n is the number of payments

From the problem,

The financed amount is the difference between the car's cost and the down payment.

P = $19,500 - $2,500

P = $17000

The monthly interest rate is :

r = 3.9%/12 or 0.039/12 = 0.00325

n = 36 months

The monthly payment will be :

a. M = $501.15

b. The total payment for the car is monthly payment multiplied by the number of payment made together with the downpayment.

501.15 x 36 + 2500 = $20,541.4

c. The interest is the difference between the total payment made and the financed amount.

I = 501.15 x 36 - 17,000 = $1,041.4

We have to find the solutions to the equation:

The absolute value function is in fact a piecewise function, so it may have two solutions.

We consider for the first solution that the argument inside the absolute function is positive, that is x + 4 > 0. Then, we will have:

Now, we consider that the the argument is negative and is made positive by the absolute value function (it will shift the sign, which can be represented by a multiplication by -1). This means that x + 4 < 0, and the solution will be:

We can see it in a graph as:

Answer: the solutions are x = 4 and x = -12.

Answer:

• a =10

• b = 4

Explanation:

An isometry is a rigid transformation that preserves length and angle measures, as well as perimeter and area.

This means that the two right triangles are congruent.

Thus, we have that:

Next, we solve for a and b.

Likewise:

The values of a and b are 10 and 4 respectively.

The general function for describing the displacement from the mean position in harmonic motion is:

Where:

• A is the amplitude,

• T is the period,

• φ is initial phase displacement.

From the statement, we know that:

• the amplitude is 4 cm,

• at time t = 0 its displacement d from the rest is 0 → d(t = 0) = 0,

• initially, it moves in a negative direction.

s

Given:

The amount of granulated sugar used fo French fries, x=225 g.

1 pound=2cups.

1 pound=453.5g.

Since 1 pound =453.5 g,

Therefore, 225 grams can be expressed in pound as,

Since 1 pound =2 cups, we can write

Therefore, 1 cup is needed.

Let us plot the data on the graph to obtain its correlation coefficient.

5) 'r' is known to be the symbol for the correlation coefficient.

Hence, the correlation coefficient from the graph is

6) There is a strong correlation for the data set because the r-value is larger than 0.7 which is close to +1.

Answer:

2m because 2 times the months will tell us how many she has watched for example in 2 months she will watch 4 because 2*2 is 4

He needs option D. Because the perimeter is not the total area (it is only the distance in meters/centimeters that surround the lawn, we need to know how much area a bag of grass seeds covers, for us to know how many to buy. Also, we need the area of the walkway, since it is not covered by grass

The area of a triangle is:

But, since there is a walkway that isn't covered in grass, we need to subtract the circle area from the triangle area

Area of circle:

Then the total area of the lawn :

uff = Given

Han can stuff 20 envelopes in one minute

Clare can stuff 10 envelopes in one minute

Together they start working on a pile off 1000 envelope.

Find

How long does it take them to finish the pile.

Explanation

as we have given

in one minute , Han can stuff = 20 envelope

in one minute , Clare can stuff = 10 envelope

together in one minute , they can stuff =

we know that the number of time it will take to finish stuffing would be number of envelope / joint rate = 1000/30

so , time taken to finish the pile =

Final Answer

Hence , the time taken by them to finish the pile is 33 minutes 20 seconds

We can convert a measure from radians to degrees by taking into account that π radians is equivalent to 180°.

Then, we can convert a measure in radians into degrees by multiplying by 180°/π.

We can convert 7π/11 into degrees as:

Answer: 114.55°

We will have the following:

a)

b)

ANSWER:

A. Domain: x ≠ n

D. Range: All real numbers

STEP-BY-STEP EXPLANATION:

We have the following function:

The domain of a function is the interval of input values, that is, the interval of x while the range is the interval of output values, that is, the interval of y.

In the cotangent function, x cannot take the value of radians (nor its multiples), since it is not defined, while the range is continuous on all real numbers.

That means the correct options are:

A. Domain: x ≠ n

D. Range: All real numbers

SOLUTION:

Step 1:

In this question, we are given the following:

Which family spends the largest dollar amount on transportation?

a) Family A

b) Family B

c) Family C

Step 2:

The details of the solution are as follows:

a) Family A

Total income $ 5, 400

Amount spent on Transportation =

b) Family B

Total income $ 4,675

Amount spent on Transportation =

+

c) Family C:

Total income $ 6,675

Amount spent on Transportation =

+

CONCLUSION:

From the above analysis,

we can see that Family B spent the largest dollar amount on Transportation with the sum of $ 607. 75 ( which is 13% of $ 4,675)

We will first write A equation

Let x be the number of minutes

y = 0.10x + 50

Comparing the above with y=mx + b where m is the rate of change

m = 0.10

Company B

y = 0.05x + 75

comparing with y =mx + b

rate of change (m) = 0.05

Hence, company A has a higher rate of change at $0.10

Answer:

[tex] \frac{2}{9 {d}^{14} } [/tex]

Step-by-step explanation:

[tex] \frac{ {4d}^{ - 5} }{18 {d}^{9} } = \frac{4}{18} \times \frac{ {d}^{ - 5} }{ {d}^{9} } = \frac{2}{9} {d}^{ - 14} = \frac{2}{ {9d}^{14} } [/tex]

Notice that we can draw a triangle in the square , and that the length of the square's diagonal is the same as the length of the triangle's hypotenuse. The triangle is a right triangle therefore it satisfies the Phytagorean Theorem. To calculate for it's hypotenuse , we will use:

where c is the hypotenuse, and a, b are the other legs of the triangle.

Since the hypotenuse of the triangle is 42.43 cm. Therefore, the square's diagonal is also 42.43 cm

Answer:

The square's diagonal is 42.43 cm

ANSWER

D. Zero

EXPLANATION

The triangle inequality states that the sum of any two sides of a triangle is greater than the third side,

All these inequalities must be true to be able to form a triangle with the given sides,

Hence, no triangle can be formed with these side lengths.