4. Answer the following questions based on the information below:Han wants to build a dog house. He makes a list of the materials needed:• At least 60 square feet of plywood for the surfaces• At least 36 feet of wood planks for the frame of the dog house• Between 1 and 2 quarts of paintHan's budget is $65. Plywood costs $0.70 per square foot, planks of wood cost $0.10 per foot, andpaint costs $8 per quart.

The function supplied has an average rate of change for the range (1, 5) of -6.

f(x) = 17 - x2 (assumed)

The average f(x) change rate for the time period has to be determined (1, 5)

The function f(x) spanning the range (a, b) changes at an average rate equal to

A and b are valued as 1 and 5, respectively, in this instance.

f(1) = 17 - (1)2

f(1) = 17 - 1

f(1) = 16

f(5) = 17 - (5)2

f(5) = 17 - 25

f(5) = -8

It was determined that f's average rate of change (x)

As a result, the function supplied has an average rate of change for the range (1, 5) of -6.

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Explanation

Step 1

we have a rigth triangle, then

Let

hence, we need a function that relates, angle, adjacent side and opposite side

now, replace.

I hope this helps you

the given expression is,

8x = 63.2

x = 63.2/8

x = 7.9

thus, the answer is x = 7.9

i have solved your problem in the answer tab.

if you have any doubt with this solution then let me know.

Answer:

Step-by-step explanation: i really

Answer:

rational

Step-by-step explanation:

it is because

it can be written in p/q form as answer is -6

We have a KLM triangle which as l = 48 in, the angle opposed to K = 55° and the angle opposed to L = 46°.

For this triangle, we have the following relation:

k^2 = l^2+m^2-2*l*m*cos 55°

Without m, we can't find k

Answer: Domain is All real Numbers and The range is also All real numbers

Step-by-step explanation:

Well any value can be used to fit in for the x value

To solve the problem find the value of (45)^2 at first

The answer is 25 with the remainder 75

You can simplify the fraction to be 25/26

Answer: 12.69067

Step-by-step explanation:

Answer:W=6.5

Step-by-step explanation:

74-8w=22

subtract 74 from both sides

-8w=-52

divide both sides by -8

w=6.5

Answer:

-8w=22-74

-8w=52

w=52÷(-8)

w=-6.5

Recall that when two angles add to give 90 degrees, they are called "complementary angles" This is the case here where you are adding an unknown angle to one that measures 51 degrees to obtain a right angle (90 degrees)

The unknown angle (?) is called the "complementary angle to the 51 degree one.

Please select the third option :

C. Complementary.

Do you remember how it looks an angle that measures 90 degrees? It looks like the angle formed by a square edge, or by two lines that are perpendicular to each other.

When you have two angles one in contact (adjacent) to the other and the two together complete a right angle , those two angles are called complementary angles. There is nothing profound to derive from that, but that it is simply a definition.

The quotient can be determined as,

Thus, the required quotient is -16/35.

Given: the geometric sequence whose common ratio is 1/3 and whose first term is 6.

Find: 9th term of the geometric sequence

Explanation:

Final answer: the required answer is

First we have to find the line y=x so we can do the reflection:

now in the graph we can se that the lines RO and BC are parallel to the line y = x

and there you can see that they are the same by moving the triangle 5 units to the right.

Other way you can check they are iqual, is by calculate the area of the triangles.

Answer:

In order to answer this question, you have to import and attachment to be more clear

Step-by-step explanation:

Option Four is the correct answer.

Have a great day!

Answer:

B, C and D.

Explanation:

If UV bisects XY at point W, we have the diagram below:

As can be seen, the point W divides XY into two equal parts: XW and YW.

Therefore:

(B) WX=YW.

Also:

UV = UW+WV

(C)UV-UW=WV

Finally, since W bisects XY, W is the midpoint of XY.

The correct options are B, C, and D.

The value of the angle x will be equal to 113.5°.

An angle may be defined as the figure which can be formed from two rays joining at a point. The lines will be called as the sides of the angle and the point at which the rays join is called vertex of the angle. There are generally 5 types of angles namely Acute angle, Obtuse angle, Reflex angle, Right angle and Complete angle. The value of a complete angle will be given as 360°. Since, in the question all the angles are measured to the nearest. So, the value of 59° could actually be something between 58.5° and 59.5°. Analogously, 108° is between 107.5° and 108.5°, and 81° is between 80.5° and 81.5°. Now, the summation of all four angles will be equal to 360°.

x + 58.5° + 107.5° + 80.5° = 360°

=> x = 360° - (58.5° + 107.5° + 80.5°)

=> x = 360° - 246.5°

=> x = 113.5° which is the required value.

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Let us first solve the triangle on the right side involving angle x.

Recall that the sum of angles in a triangle must be equal to 180°.

So we can write

Therefore, the angle x is equal to 61°

Now let us solve the triangle involving angle S and T.

Again applying the property that the sum of angles in a triangle must be equal to 180°

As you can see, the angle S and T form a straight line angle.

Recall that a straight line angle is equal to 180°

Therefore, angle S = 75° and angle T = 105°

Now let us solve the remaining figure.

On the right side of the figure, apply the property that the sum of angles in a triangle must be equal to 180°

As you can see, the angles A and B are opposite angles.

We know that opposite angles are equal.

Now we know the angle B so let us apply the property that the sum of angles in a triangle must be equal to 180°

Therefore, angle A = 98° and angle B = 98° and angle C = 34°

Jonah picked total 626 cherry tomatoes if she licked 287 cherry tomatoes in May and 330 cherry tomatoes in June.

As the mentioned numbers are in hundreds and not in thousands, the number can not be rounded. Now we will need to perform addition to find the total number of cherry tomatoes picked by Jonah combined in May and June.

Total number of cherry tomatoes = 287 + 339

Performing addition to find the total number of cherry tomatoes picked by Jonah

Total number of cherry tomatoes = 626

Therefore, Jonah picked 626 cherry tomatoes combined in May and June.

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1. Sin A

2. Cos A

3. Tan A

4. Sin B

5. Cos B

6. Tan B

Answer:

Step-by-step explanation:

16a^2 - 4b = ?

16(1/4)^2 - 4(6) = ?

4^2 - 4(6) = ?

16 - 4(6) = ?

16 - 24 = ?

Answer:

[tex]16(1 \div 4) {}^{2} - 4(6) [/tex]

Step-by-step explanation:

16

[tex]16( \frac{1}{16} ) - 24[/tex]

Answer:

x = {x: -1, 5}

Step-by-step explanation:

[tex]{ \rm{f(m) = (x + 1)(x - 5)}}[/tex]

- To find the values of function f(m), we consider its zero or its root by letting f(m) = 0

[tex]{ \rm{f(m) = 0 = (x + 1)(x - 5)}} \\ { \rm{(x + 1)(x - 5) = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]

- Either (x + 1) or (x - 5) is equated to zero

[tex]{ \rm{x + 1 = 0}} \\ { \rm{x = - 1}}[/tex]

[tex]{ \rm{x - 5 = 0}} \\ { \rm{x = 5}}[/tex]

Therefore, x is -1 and 5

[tex]{ \bold{ \boxed{ \red{ \delta}}}}{ \underline{ \red{ \mathfrak{ \: \: creed}}}}[/tex]

If the table is linear we can find an equation in the form

in which b is the y-intercept and

The complex expression (2+5) - (-6 +bi) in the form a + bi is 13 - bi

The expression is given as

(2+5) - (-6 +bi)

The above expression is a complex expression

So, we have the following expression

(2+5) - (-6 +bi)

Remove the brackets in the above expression

So, we have the following expression

(2+5) - (-6 +bi) = 2 + 5 + 6 - bi

Evaluate the like terms in the above equation

So, we have the following expression

(2+5) - (-6 +bi) = 13 - bi

Hence, the solution to the complex expression is 13 - bi

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The maximum displacement is 5, the angular frequency is 2π and the period of the motion is 1.

Kinematically speaking, an object under simple harmonic motion is described by the following equation:

y = A · cos (2π · t / T)

Where:

Please notice that the angular frequency ω, radians per second, is equal to 2π / T. Then, we find that the maximum displacement is 5, the angular frequency is 2π and the period of the motion is 1.

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In this kind of question, we always need to know what is the equivalence between two measures:

We already know that in 1 centimeter there are 10 millimeters. With this equivalence, we can write:

740.2 millimeters * ( 1 centimeter / 10 millimeters )

When we have a unit in the numerator and also in the denominator, like millimeters, in this case, both units are converted in 1, and they do not need to be in the final answer (millimeters/millimeters = 1). Therefore:

740.2 * ( 1 centimeter / 10 ) =

( 740.2 / 10 ) centimeter =

When we divide a number by 10, 100, 1000, we write the decimal point to the left as many zeros have the 10, 100, 1000. In this case, we only have one zero.

Thus, we write the decimal part one digit to the left:

( 740.2 / 10 ) centimeter =

74.02 centimeter (this is the answer).

Therefore, there are 74.02 centimeters in 740.2 millimeters.

The equation of the line (segment) is:

Where y is the percentage of the charge, and x is the time (in minutes) that has passed since the charge started.

How do we know that? Because we can identify two points in the graph shown in the image:

Notice that the line intersects the y-axis in point 40 (when the battery had 40% of its charge)

You can easily see that the equation I first wrote is correct by simply substituting the values of those two points I just wrote above.

Since we need 'the battery's charging level when the charging began', we need to set x=0, as we need the value of y (percentage of the charge) when the charging started.

So, if x=, then:

Therefore, the answer is 40%

a)Sum of money share by Anna is $120000

b)Sum of money share by Mark is $72000

c) The total sum the three friends have is $ 240000

The ratio of the amount of money shared among three friends is 2: 3: 5.

Let's take the common factor to be x.

Sum of money Paul has = 2x

Sum of money Mark has = 3x

Sum of money Anna has = 5x

It is given that Paul receive $48000

So,

2x = 48000

x = 24000

a) Anna's share = 5x

                          = 5× 24000

                          = $120000

b) Mark's share = 3x

                          = 3 × 24000

                          = $72000

c) The total share = 2x + 3x + 5x

                             = 10x

                             = 10 × 24000

                             = $240000

Therefore the sum of money share by Anna is $120000, Mark is $72000 and the total sum of money is $240000.

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