A bird was perched on a tree at a height of 15 feet. The bird then saw food on a branch below and dropped down 6 1/3ft
What is the current height of the bird?

By using trigonometric relations, we can see that the hypotenuse of the right triangle measures 30.8 units.

Here we will need to use trigonometric relations. We want to find the value of x, which is the hypotenuse of the right triangle.

We know the measure of one angle, and the adjacent cathetus to said angle, the measures are:

angle = 65°

Cathetus = 13 units.

Now we can sue the trigonometric relation:

cos(a) = (adjacent cathetus)/(hypotenuse)

Replacing what we know, we can rewrite that as:

cos(65°) = 13/x

Now we just need to solve the equation for x, we will get:

x = 13/cos(65°) = 30.8 units.

We conclude that the hypotenuse of the right triangle measures 30.8 units.

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a. My estimate of the answer by rounding to the nearest whole numbers before subtracting is $19.00 and $2.00

b. Given the difference of the estimate is 19-2= $17 and the difference of the original values is 18.80-1.75=-$17.05, then the estimate is low.

c. The difference of the estimate is $17

Given that:

Randy had $18.80 in his wallet.

He spent $1.75 on a drink

If we round $18.80 to the nearest whole number, it would be $19.00

Rounding off $1.75 to the nearest whole number, it would be $2.00

The difference of the estimate is 19-2= $17 and the difference of the original values is 18.80-1.75=-$17.05, then the estimate is low.

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Answer: yes it is true .

Step-by-step explanation:

If the function f(x) is either always increasing or always decreasing then it has an inverse function f –1(x). The Range of f(x) becomes the Domain of f –1(x). We find the equation of the inverse by solving the equation y = f(x) for x.

Answer:

The scientific notation will be 7.55 x 10^-2

Step-by-step explanation:

You need to make the number at least 1 but below 10 so you would move the decimal over 2 places to the right

Hope this helps :)

Answer:

7.55 x 10⁻²

Step-by-step explanation:

0.0755

As we move the decimal two spaces to the right it will be a negative integer.

7.55 x 10⁻²

Look at attached image.

Answer:

A

Step-by-step explanation:

The shaded region represents the intersection of L and N.

Good and Gather Creamy Almond Butter provides the best deal based on cost.

What is cost?

A cost is an outlay needed to create, market, or prepare an item for regular usage. In other terms, it's the cost incurred to produce a good, buy inventories, sell goods, or prepare equipment for use in a commercial activity.

Costs come in a variety of forms, both fixed and variable, but they are always recorded in the same way. Costs are deducted in a closing entry at the conclusion of the accounting period after being reported as costs on the income statement throughout the period.

Here, Good and Gathe Creamy Almond Butter is provided 16 ounces at $8.69 which is the best deal among the three based on cost.

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Her weekly pay is $250

Her monthly pay is $1000

Her yearly pay is $12000

Her weekly take-home pay if she takes home 76% is $190

Unit rate is the ratio of two different units, with the denominator as 1.

We have,

1 hour = $12.50

1 week = 20 hours

The weekly pay:

= 20 hours

= 20 x 12.50

= $250

Monthly pay:

= 4 weeks

= 4 x 20 hours

= 80 hours

= 80 x 12.50

= $1000

Yearly pay:

= 12 months

= 12 x 4 weeks

= 48 weeks

= 48 x 20 hours

= 960 hours

= 960 x 12.50

= $12000

Weekly take-home pay:

= 76% of $250

= 76/100 x 250

= $190

Thus,

Her weekly pay is $250

Her monthly pay is $1000

Her yearly pay is $12000

Her weekly take-home pay if she takes home 76% is $190

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The function f(x) represents the linear relationship between f(x) and x because the slope remains constant.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope remains constant throughout the data.

Then the slope of the function f(x) at different stages is given as,

⇒ (14 - 10) / (2 - 1)

⇒ 4

⇒ (22 - 18) / (4 - 3)

⇒ 4

Then the slope of the function g(x) at different stages is given as,

⇒ (12- 10) / (2 - 1)

⇒ 2

⇒ (22 - 16) / (4 - 3)

⇒ 6

The function f(x) represents the linear relationship between f(x) and x because the slope remains constant.

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The inequality to determine the number of outfits Zendaya can purchase while staying within her budget is

     269.88 + 4*10.57 + 17.76 + 65.65x ≤ 540

And the number of outfits Zendaya can buy is 3 .

According to the question we have been given that the

 Total money Zendaya has = $540

  Cost of new bicycle = $269.88

   Cost of bicycle reflectors = $10.57

   Cost of bike gloves = $17.76

  Cost of biking outfits = $65.65

Let the number of outfits Zendaya purchases be x.

The inequality to determine the number of outfits Zendaya can purchase while staying within her budget is

     269.88 + 4*10.57 + 17.76 + 65.65x ≤ 540

Now solving this inequality for x we get

     269.88 + 42.28 + 17.76 + 65.65x = 540

    329.92 + 65.65x = 540

          65.65x = 210.08

              x = 3.2 ≈ 3

Thus number of outfits Zendaya can buy is 3

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Answer:

10 million

Step-by-step explanation:

The value is how many time i did Your mom

Answer:

Step-by-step explanation:

20.75 miles x 4 = 83 miles

30.25 miles x 4 = 121 miles

Now take the 83 and multiply by 7 for the 7 weeks and multiply the 121 also by 7.

83 x 7 = 581

121 x 7 = 847

Now add the 581 miles with the 847 to get the total miles travelled.

581+847 = 1428 Miles

Answer: The delivery person travels 1428 miles

Answer:

650,000

Step-by-step explanation:

[tex]10^5=100000\\=100000\cdot \:6.5\\=650000[/tex]

The required converted value of the dimension 18 in² in cm² is 117cm².

Given that,
To convert the given square unit to the square unit indicated. 18 in² to cm² with the help of the table, along with dimensional analysis.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given unit to convert
is
18 in² to cm²
Since 1 in² = 6.5 cm²
So now,
18 in² = 18* 6.5 cm² = 117 cm²

Thus, the required converted value of the dimension 18 in² in cm² is 117cm².

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The figure with the coordinates R'(-4, 2), S'(-4, 4), T'(1, 5) and U' (0, 0) are graph of the image of the figure.

Hence, Option B is the correct answer.

What is translation?

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other.

Given that,

The translation is 1 units left and 5 units up.

The coordinates of the given figure are R(-3, -3), S(-3, -1), T(2, 0) and

U(1, -5).

Now, If the translation is 1 units left and 5 units up, then the coordinates become (x - 1, y + 5).

Hence, Coordinates for the image of the graph are;

R' = (-4 - 1, 2 + 5) = (-5, 7)

S' = (-3 - 1, -1 + 5) = (-4, 4)

T' = (2 - 1, 0 + 5) = (1, 5)

U' = (1 - 1, -5 + 5) = (0, 0)

Hence, The coordinates are R'(-4, 2), S'(-4, 4), T'(1, 5) and U' (0, 0).

Therefore, The figure with the coordinates R'(-4, 2), S'(-4, 4), T'(1, 5) and

U' (0, 0) are graph of the image of the figure.

Hence, Option B is the correct answer.

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Answer:

360x^2-216x

Step-by-step explanation:

2(6x)(6x) +4(12x-9)(6x)

We want to simplify

Multiply the first terms

72 x^2 +4(12x-9)(6x)

Distribute the 4 to each term in the first parentheses

72x^2 + (48x -36) 6x

Multiply

72x^2 +288x^2 - 218x

Combine like terms

360x^2-216x

From calculations, the numbers of each type we should make are;

4 plain burgers

2 double burgers

5 regular burgers

Let us denote each of the types of the hamburgers as;

Plain burgers is p

double cheeseburgers is d

regular cheeseburgers is r

Thus;

For Beef patty, the equation is;

p + 2d + r = 13  -----(1)

For buns, the equation is;

p + d + r = 11   ------(2)

For cheese, the equation is;

0 + 2d + r = 9   -----(3)

Solving these three equations simultaneously using an online calculator gives;

p = 4; d = 2; r = 5

From calculations, the numbers of each type we should make are;

4 plain burgers

2 double burgers

5 regular burgers

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Answer:37

Step-by-step explanation:

The difference in the distances flown by these two birds after three hours of light is 94.47km

According to the question, Evolve eagle flies 43.2 m, the distance it will fly in 3 hours will be;

43.2m = 3 seconds

x = 10800seconds

Find the ratio

3x = 43.2  × 10,800

x = 155520 meters = 155.530km

From the graph, the distance traveled in 3 hours is equivalent to 250km

Difference in distance

Difference = 250 - 155.530
Difference = 94.47km

Therefore the difference in the distances flown by these two birds after three hours of light is 94.47km

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Answer:

Step-by-step explanation:

1200 feet in 3 hours

400 feet per hour

That was also a question that I had.

Answer:

pay him after 3 years with and interest of 5% compounded annually. On the 3rd year, exact date of his payment, Ben requested to extend his deadline for another 2 years. Glenn being a considerate man, agreed but under the new condition that from then on, the interest shall be 6% compounded semi-annually. Two years later, on exact deadline, Ben asked Glenn, again, for 1 more year.

Step-by-step explanation:

Answer:

∠ D2 = 16°

Step-by-step explanation:

complementary angles sum to 90° , then

∠ D1 + ∠ D2 = 90°

74° + ∠ D2 = 90° ( subtract 74° from both sides )

∠ D2 = 16°

If two angles are complementary they add up to a total of 90 degrees.

So we know that

D1+D2=90, because the problem tells us they're complementary

Now, we know as well that D1 = 74, so we can plug it into the little equation and solve in terms of D2.

[tex]D1+D2=90[/tex]

[tex]74+D2=90[/tex]

[tex]D2=90-74[/tex]

[tex]D2=16[/tex]

hope it helps have a great time learning!

Answer:

(2,7)

Step-by-step explanation:

we use the midpoint formula:

(3+-5/2 , 7+9/2)

(4/2, 14/2)

(2,7)

Answer: M(5,2)

Step-by-step explanation:

C(3,-5)    D(7,9)   the midpoint M(x,y)=?

x₁=3       x₂=7     y₁=-5      y₂=9

[tex]\displaystyle\\M(x,y)=(\frac{3+7}{2} ,\frac{-5+9}{2})\\\\M(x,y)= (\frac{10}{2},\frac{4}{2})\\\\ M(x,y)=(5,2) \\\\Thus,\ M(5,2)[/tex]

The expression represented by the quotient of y and 5 is y/5

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

the quotient of y and 5.

Quotient means divide

So, we have

the quotient of y and 5 => y/5

Hence, the expression represented by the quotient of y and 5 is y/5

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Answer:

The allowance amount is the product of the number of allowances and $ 63.46

Step-by-step explanation:

1x$ 63.46 = x$ 63.461×$63.46=$63.46

Based on the change in the water levels of the ten birdbaths in the park, the range of the data is 4.2.

To find the range of a distribution of numbers, you need to subtract the smallest number from the largest number.

The largest number in the distribution of birdbaths is 2.6 and the smallest number in the distribution is -1.6

The range is therefore:
= 2.6 - (-1.6)

= 2.6 + 1.6

= 4.2

The range of numbers are:

2.2, 0.3, -1.5, 2.6, 1.9, 0.4, 0.6, -1.6, 2.5, -0.6

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C is the correct answer...

Answer: I and lV

Step-by-step explanation:

to find function just look at the x values if they repeat it’s not a function.

Answer:

The values of x are -6 + √5 and -6 - √5.

Step-by-step explanation:

It is given that we need to find all of the points of the form (x,-1) which are 3 units from the point (-6, 1).

Now, let us suppose that these points are in 2D coordinate system such as;

=> (x1, y1) = (-6, -1)

and let us suppose that the other point is;

=> (x2, y2) = (x, 1)

Further, the distance between both these points them is 3 units and we can write this as;

=> d = √(x1 - x2)² + (y1 - y2)²

=> 3 = √(-6 - x)² + (-1 - 1)²

After squaring both the sides;

=> 9 = 36 + x² + 12x + 4

=> 9 = x² + 12x + 40

On rearranging the equation;

=> x² + 12x + 31 = 0

Now, this is a quadratic equation of the form ax² + bx + c = 0 in which;

=> x = -b ± √(b² - 4ac) / 2a

After putting values in this for obtaining the value of x on comparing we get;

=> x = -12 ± √(12² - 4×31) / 2

=> x = -12 ± √(144 - 124) / 2

=> x = -12 ± √20 / 2

=> x = -12 ± 2√5 / 2

=> x = 2(-6 ± √5) / 2

=> x = -6 ± √5

Therefore, the values of x are -6 + √5 and -6 - √5.

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