A Girl Guide measured the angle of elevation to the top of a monument to be 59°. The height of the monument is 38.5 m. She
then walked 31.0 m farther away from the tower. Determine the angle of elevation to the top of the monument from her new
location, to the nearest tenth of a degree.

Answer: Its D

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

The side of the square is k.

The area of the square is k².

The diameter of the circle is k.

For a circle, radius = diameter/2.

The radius of the circle is k/2.

Formula for area of circle: A = πr².

Here, the radius, r, is k/2.

The area of the circle is π(k/2)² = (πk²)/4

The shaded area is the difference between the area of the square and the area of the circle.

shaded area = k² - (πk²)/4

We are told that the shaded area = A

A = k² - (πk²)/4

Multiply both sides of the equation above by 4.

4A = 4k² - πk²

Step-by-step explanation:

Mean :

13 + 25 + 7 + 28 + 42 + 7 + 15 + 23 + 1 + 17.

= 178

178 ÷ 10

= 17.8

Median =

13, 25, 7, 28, (42, 7,) 15, 23, 1, 17

= 42 + 17

= 59 ÷ 2

= 29.5

Range :

42 - 1

= 41

Hope it helps :))

Answer:

Mean- 17.8 Median- 16 Mode- 17.8

Step-by-step explanation:

1. Put the numbers in ascending order.

1, 7, 7, 13, 15, 17, 23, 25, 28, 42

2. Look for the median. The median is the number located in the middle of a set of numbers. In this case, the median is going to be between 15 and 17 because they are both in the middle. This means that the median will be 16.

1, 7, 7, 13, 15, 17, 23, 25, 28, 42

3. Find the mode. The mode is the number you see the most in a set of numbers. In this case, there are two 7's so 7 is the mode of this set.

1, 7, 7, 13, 15, 17, 23, 25, 28, 42

4. Find the mean. The mean is the overall average of a set of numbers. To find the average, find the sum of all the numbers in the set and divide it by the number of integers there are. In this case, there are ten integers, so we'll find the sum (178) and divide it by 10 to get a mean of 17.8.

[tex]\frac{1+7+7+13+15+17+23+25+28+42}{10}[/tex] = 17.8

5. Find the range. The range is basically the difference between the lowest and highest values in a set of numbers. The lowest number is 1 and the highest is 42. So, we'll subtract the two to get a range of 41.

1, 7, 7, 13, 15, 17, 23, 25, 28, 42

42 - 1 = 41

Answer:

135 cars; 205 SUVs

Step-by-step explanation:

Let c = number of cars sold.

Let s = number of SUVs sold.

s = c + 70

c + s = 340

Substitute s in the second equation with c + 70 and solve for c.

c + s = 340

c + c + 70 = 340

2c = 270

c = 135

s = c + 70

s = 135 + 70

s = 205

Answer: 135 cars; 205 SUVs

Answer:

The average strand of hair is 25.4μm

Step-by-step explanation:

Diameter of dime is 2.985×10² times of diameter of human hair.

The correct option is B.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given,

Diameter of dime = 17.91mm

Diameter of human hair = 6.0×10⁻²mm

Ratio of diameter of dime to diameter of human hair = 17.91/6.0×10⁻²

                                                                                        = 2.985×10²

Hence, 2.985×10² times of diameter of human hair is diameter of dime.

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The graph of f(x) = -x² + 2x + 1 and g(x) = 2ˣ, have the same y-intercept of (0, 1)

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the polynomial function f(x) = -x² + 2x + 1 and an exponential function g(x) = 2ˣ

From the graph of f(x) = -x² + 2x + 1 and g(x) = 2ˣ, have the same y-intercept of (0, 1)

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Using the transformation of an exponent to a power, the formula that is equivalent to f is given by:

[tex]440\sqrt[12]{2^{10}}[/tex]

It happens according to the following rule:

[tex]a^{\frac{n}{m}} = \sqrt[m]{a^n}[/tex]

In this problem, the rule for f is given by:

[tex]440(2)^{\frac{10}{12}}[/tex]

Hence, applying the rule, the equivalent formula is given by:

[tex]440\sqrt[12]{2^{10}}[/tex]

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Answer:

C

Step-by-step explanation:

Check the picture below.

so hmmm let's get the whole area of the rectangle, and then get the areas of those 3 triangles and subtract their area from that of the rectangle's, what's leftover is what we didn't subtract, namely, the white triangle.

[tex]\stackrel{\textit{\huge Areas}}{\stackrel{rectangle}{(3)(4)}~~ - ~~\stackrel{green~triangle}{\cfrac{1}{2}(2)(3)}~~ - ~~\stackrel{pink~triangle}{\cfrac{1}{2}(2)(2)}~~ - ~~\stackrel{yellow~triangle}{\cfrac{1}{2}(4)(1)}} \\\\\\ 12~~ - ~~3~~ - ~~2~~ - ~~2\implies 5[/tex]

Answer:

B

Step-by-step explanation:

Everyone eats whereas not everyone would enjoy being at the other options

Answer:

I forgot to change pi into 3.14

Answer:

The total account balance would be $454.50

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

use an equation to solve this

consecutive means in succession, one after the other

since they're odd, both numbers have to be odd

let x be the first number

x+x+2=-20

+2 because if you only +1, one of the numbers would be even

2x+2=-20

-2. -2

2x=-22

x=-11

the smaller would be -9 since we are adding x and x+2 together

Answer:2

Step-by-step explana2tion:

AS]

Step-by-step explanation: To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Answer:

See below

Step-by-step explanation:

There are two feasible ways to place the turtle eggs.

Step-by-step explanation:

this is a nice parallelogram.

that means it has 2 pairs of equal and parallel sides (opposite of each other), 2 pairs of equal angles (also opposite of each other).

as in every quadrilateral the sum of all angles is 360°.

and because of the 2 pairs of equal (yet opposite) angles, every angle combines with one of its neighbors to 180°.

so,

(3x + 5) + (8x - 12) = 180

3x + 5 + 8x - 12 = 180

11x - 7 = 180

11x = 187

x = 17

and then the angle P is

3x + 5 = 3×17 + 5 = 51 + 5 = 56°

The graph of function y = 2x - 4 is shown in figure.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Equation of line is,

⇒ y = 2x - 4

Now, WE know that;

Standard form of equation of line is,

y = mx + c

Where, m is slope and c is y - intercept.

Here, Function is,

y = 2x - 4

Hence, y - intercept = - 4

Thus, The graph of function y = 2x - 4 is shown in figure with y - intercept (0, - 4).

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The rule is a translation rule, and another way of writing the rule t -8, 4(x, y) is (x - 8, y + 4)

The rule is given as:

t -8, 4(x, y)

The above rule means that:

A translation of 8 units right and 4 units up.

This is represented as:

(x - 8, y + 4)

Hence, another way of writing the rule t -8, 4(x, y) is (x - 8, y + 4)

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Answer:

C: (x, y) → (x – 8, y + 4)

Step-by-step explanation:

Quadratic equations are equations that has a leading degree of 2. The value of x from the given quadratic equation is 2 or -12

Quadratic equations are equations that has a leading degree of 2

GIven the quadratic equation expressed as x^2 + 10x + 12 = 36

Rewrite

x^2 + 10x - 36 + 12 = 0

x^2 + 10x - 24 = 0

Factorize

x^2 + 12x -2x - 24 = 0
x(x+12) -2(x+12) = 0
x - 2 = 0 and x = -12

x =2 or -12

Hence the value of x from the given quadratic equation is 2 or -12

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Answer:

A on edge 23'

Step-by-step explanation:

because i said so

Answer:

The slope of the line is 3 and the y-intercept is (3/2) three-halves.

Step-by-step explanation:

The data provided is:

X     Y

-1.0     -1.5

-0.5     0.0

0.0     1.5

0.5     3.0

The slope of the linear function is denoted by, b and the intercept is denoted by, a.

The formula to compute the slope and intercept are:

Compute the values required in Excel.

Compute the slope and intercept as follows:

Thus, the slope of the line is 3 and the y-intercept is (3/2) three-halves.

Answer:

a

Step-by-step explanation:

Answer:

600 inches

The volume of the box is 600 because if we take the formula and substitute the numbers given, you are left with 600 inches.

Step-by-step explanation:

V = lwh

l = 10

W = 5

H = 12

10 × 5 × 12 = 600

Answer: 26 and 30

Step-by-step explanation: The pattern is adding 4, so 10 + 4 is 14, 14 + 4 is 18, and 18 + 4 is 22.

So you add 4.

22 + 4 is 26.

26 + 4 is 30.

Answer:

26, 30 are the next two terms

Step-by-step explanation:

The correct classification for the angle JML is an acute angle.

What is an acute angle?

An acute angle has a measure, or it's smaller, than a right angle.

Therefore, the acute angle is the small angle which is less than 90°

let's find the measure of ∠JML

Hence,

∠JML = ∠JMK + ∠KML

∠KML = 180 - 132 = 48 degrees.

Therefore,

∠JML = 41 + 48 = 89 degrees.

Therefore, the correct classification for the angle JML is an acute angle.

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Answer: = 18

Espero que esto te ayude.

Answer:

I wouldn't say this is entirely correct, but I think it's 45%.

Step-by-step explanation:

If you started with $90 and it was reduced 20%, than 25% MORE, the final percentage that was lowered would be the 20% and 25% added together.

The answer is 45%.

(Please do tell me if I got this wrong!!)

The original price reduced to 60%.

A percentage is a ratio or number that can be expressed as a fraction of 100. Additionally, it is denoted by the symbol "%."

On September 1, a dress was priced at $90. On October 1, the price was reduced by 20%.

That means,

the price is now = $90 - (90 x 20 /100) = $72

On November 1, the price was further reduced by 25% of the October 1 price.

The price is now = $72 - ( 72 x 25 / 100) = $54

To find the percentage of original price;

The percentage of original price

= 5400 / 90

= 60%

Therefore, the final price is 60% of the original price.

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's calculate the circumference ~

[tex]\qquad \sf  \dashrightarrow \: c = \pi d[/tex]

where,

now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: c = 3.14 \times 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: c = 12.56 \: \: m[/tex]

The circumference of the given circle.

[tex]c = 2 {\pi}r[/tex]

[tex]c = 2 \times 3.14 \times r[/tex]

[tex]c = 2 \times 3.14\times 2[/tex]

[tex]c = 12.56 \: m[/tex]

Hence, the circumference of the given circle is 12.56 meters.

Un dominio razonable para la función  f(d)  en el periodo de tiempo estudiado es:

Dominio de  f(d)  =  d  ∈  [0, 7]

Mientras que el intercepto con el eje f(d) ocurre en el valor 11 mm y representa el valor del radio del alga cuando se inició el experimento en el tiempo cero.

Explicación paso a paso:

Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function?

De acuerdo con la gráfica anexa y el significado de las variables involucradas,  el dominio razonable para la función  f(d)  en el periodo de tiempo estudiado es:

Step-by-step explanation:

the awnser enlarges, preserves, scale reduces