6 (x + 4) = 48
please help!!

Using the trigonometric ratios, the measures are:

a. z = 222.5 ft

b. h = 38.6 ft.

c. b = 10.4 ft

d. B = 219.1 ft.

The ratios of trigonometry that can be used to solve a right triangle are:

sin ∅ = opp/hyp

cos ∅ = adj/hyp

tan ∅ = opp/adj.

a. Find h using the sin ∅ = opp/hyp:

sin 75 = opp/hyp = h/40

h = (sin 75)(40) = 38.6

Find z using the sin ∅ = opp/hyp

sin 10 = opp/hyp = 38.6/z

z = 38.6/sin 10

z = 222.5 ft. (length of the zip line)

b. Height of the tree = h = 38.6 ft.

c. Using sin ∅ = opp/hyp, find b (distance between the base of the ladder and the base of the tree):

sin 15 = b/40

b = (sin 15)(40)

b = 10.4 ft

d. Using sin ∅ = opp/hyp, find B as shown in the image:

sin 80 = opp/hyp = B/222.5

B = (sin 80)(222.5)

B = 219.1 ft.

Learn more about the trigonometric ratios on:

https://brainly.com/question/10417664

#SPJ1

Answer:

135 minutes

Step-by-step explanation:

Answer:

135 minutes

Step-by-step explanation:

1 hour= 60 minutes

2hours=60x2=120 minutes

120+15=135 minutes

plz mark me as brainliest.

If you measure a flower stem, its termination will be on the eleventh line from the 5 inch mark. The length of the blossom stem is 5 and 11/16 inches.

What is Measurement?

An object or event's attributes are quantified through measurement so that they can be compared to those of other things or occurrences. Measurement, then, is the process of establishing how big or little a physical quantity is in relation to a fundamental reference quantity of the same kind.

We have to measure 5 inches on scale we have to follow these steps:

Step 1: Get a ruler for inches. There will be 12 lines on the ruler that represent inches, indicating that it is an inch ruler. A foot is equivalent to 12 inches (0.305 m). Inches are divided into each foot. On the ruler, each inch is divided into 15 smaller marks for a total of 16 marks per inch.

Step 2: Find out what an inch is. 12 inch markings make up a ruler. The longest lines on the ruler serve to identify them, which are usually the numbered marks. Put one end of the nail, for instance, directly on the left side of the ruler when you need to measure it. The nail is 5 inches long if it terminates just over the long line next to the big number 5.

Step 3: Discover the 1/2 inch markings. The 1/2 inch marks, which are half as long as the inch marks, will be the second-longest lines on the ruler. Due to the fact that it is just half an inch, each 1/2 inch mark will be placed halfway between each inch number. This indicates that the 1/2 inch lines are located immediately between the 0 and 1 inch, 1 and 2 inch, 2 and 3 inch, and so on across the ruler. On a 12 inch ruler, there are a total of 24 of these marks.

Step 4 : Recognize the 1/4-inch markers. There will be a smaller line that represents a 1/4 of an inch halfway between each 1/2 inch line. These markers will indicate 1/4, 1/2, 3/4, and 1 inch inside the first inch. Despite having separate lines, the 1/2 inch and 1 inch markers are still included in the 1/4 inch measures since 2/4 of an inch equals half an inch and 4/4 of an inch equals one inch. On a 12 inch ruler, there are a total of 48 of these marks.

Step 5: Recognize the 1/8-inch scale. The tiny marks on the ruler that are situated between the 1/4-inch markers are the 1/8-inch marks. There are markers that stand for 1/8, 1/4, 3/8, 1/2, 5/8, 6/8, 3/4, 7/8, and 1 (or 8/8) of an inch between 0 and 1 inch. On a 12 inch ruler, there are 96 of these marks in total.

Step 6 : Recognize the 1/16-inch scale. The little lines at the midpoint of each 1/8 inch represent the 1/16 inch. These are the ruler's tiniest lines as well. The 1/16-inch mark is located on the very first line on the ruler's left side. There are symbols that stand for 1/16, 2/16, 1/8, 3/16, 4/16, 5/16, 6/16, 3/8, 1/2, 9/16, 10/16, 5/8, 11/16, 12/16, 3/4, 13/16, 14/16, 7/8, 15/16, and 16/16 of an inch, respectively, between 0 and 1 inch. There are 192 of these lines on the ruler in total.

Hence, If you measure a flower stem, its termination will be on the eleventh line from the 5 inch mark. The length of the blossom stem is 5 and 11/16 inches.

Learn more about measuring inches on ruler click here:

https://brainly.com/question/26495618

#SPJ1

Answer:

The area of the figure is 86.13

Step-by-step explanation:

First, solve for the area in the triangle using the equation A = h*b/2

We have the height and the base which is 6. Plug in for the equation and solve.

A = 6*6/2

A = 36/2

A = 18

Next, solve the area for the rectangle using the equation A = w*l

The width is 6 and the length is 9. Plug in for the equation and solve.

A = 6*9

A = 54

And finally, solve for the area of the triangle using the equation A = pi*r^2

We know that pi is around 3.14 and the diameter is 6. We know that a diameter is twice the length of the radius, so we can divide the diameter by 2 and get the radius.

r = 6/2

r = 3

Now plug in the equation and solve.

A = 3.14*3^2

A = 3.14*9

A = 28.26

Since this is the area of a full circle, we need to divide the area of it by 2 to get the area of a half circle.

A = 28.26/2

A = 14.13

Next, add them all up and you will get your answer.

18 + 54 + 14.13 = 86.13

Hope this helps.  

Answer:

128.52

Step-by-step explanation:

to find the area of a triangle is base times height divided by two, so in this case you'd do six times six which is thirty six and divide it by two which equals eight.

to find the area of a rectangle you do base times height, here you'd do six times nine which is fifty four.

to find the area of a half circle you do pi radius squared and after that you get an answer of fifty six point five two

lastly you add all the numbers up - 18+54+56.52 = 128.52 and that should be your answer

hope this helps x

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

Read more on domain here: brainly.com/question/9765637

#SPJ1

Answer:

C.

Step-by-step explanation:

We have five unshaded, 1 half of unshaded, and 1 shaded, Thus, It will be showed as \(\frac{1}{6}\)  ➗ \(2\)

The domain of the given function would be -

- 5 ≤ x < 3.

An function in mathematics defines a relationship between one variable (the independent variable {x})  and another variable (the dependent variable {y}). Example → y = f{x} = ax + b.

Given is the graph of the linear equation as shown in the image.

Domain represents the set of values along the {x} - axis.

So, we can write -

- 5 ≤ x < 3

Therefore, the domain of the given function would be -

- 5 ≤ x < 3.

To solve more questions on functions, visit the link below -

brainly.com/question/26182329

#SPJ1

Option D is the correct answer.

From the graph, we can conclude that,

1. The two lines are continuous lines and not broken lines. So, the inequality sign should be either ≤ or ≥.

2. The points on the lines of the shaded region are also included in the solution.

The only option that matches with the above conditions is option D. So, option D is the correct answer.

Let us verify it.

Now, let us consider a point that is inside the shaded region and also on any one line.

Let us take (0, 2).

Plug in 0 for x and 2 for y in each of the options and check which inequality holds true.

Considering the inequalities,

y ≥ 3x - 2

x + 2y ≤ 4

Solving we get,

2 ≥ 3(0) - 2

2 ≥ -2

x + 2y ≤ 4

0 + 2(2) ≤ 4

4 ≤ 4

Here, both inequalities are correct.

So, option D is the correct answer.

Learn more about inequality click

https://brainly.com/question/20383699

#SPJ1

The complete question is =

Which system of linear inequalities is graphed?

A. y < 3x-2

x + 2y ≥ 4

B. y < 3x - 2

x + 2y > 4

C. y > 3x - 2

x + 2y < 4

D. y ≥ 3x - 2

x + 2y ≤ 4

Answer:

the first set of numbers

Step-by-step explanation:

the first set if numbers shows all the factors of 18

Answer:

Volume = 7.912

Step-by-step explanation:

V = πr²h

V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )

V = 3.14 × 9/16 ×18/4

V = 3.14 × 0.56 × 4.5

V = 7.912

Answer:

x = 26

Step-by-step explanation:

180 = (5x-10) + (3x-18)

180 = 8x -28

180 + 28 = 8x

208 = 8x

x = 26

Answer:

9-|12x-1|=9

Step-by-step explanation:

Solve for x over the real numbers:

9 - abs(12 x - 1) = 9

Subtract 9 from both sides:

-abs(12 x - 1) = 0

Multiply both sides by -1:

abs(12 x - 1) = 0

Eliminate the absolute value:

12 x - 1 = 0

Add 1 to both sides:

12 x = 1

Divide both sides by 12:

Answer: x = 1/12

Answer:

Answer is B

Step-by-step explanation:

23

24

im not sure

hope its help

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

5 cause it literally says X is equal to 5 XD

Hopes this helps please mark brainliest

Answer:

r = 8

Step-by-step explanation:

Solve for r:

r + 4 = 12

Subtract 4 from both sides:

r + (4 - 4) = 12 - 4

4 - 4 = 0:

r = 12 - 4

12 - 4 = 8:

Answer: r = 8

Answer:

15/2 = 7 1/2

Step-by-step explanation:

3 1/3 * 2 1/4 =

= (3 * 3 + 1)/3 * (2 * 4 + 1)/4

= 10/3 * 9/4

= 90/12

= 45/6

= 15/2

= 7 1/2

\(\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}\)

See this attachment

Answer:

To create a chocolate blend using 61% cocoa and 51% cocoa, 18 ounces of the 61% chocolate and an appropriate amount of the 51% cocoa are combined together. The exact amount of 51% cocoa required will depend on the desired concentration of the final blend.

Step-by-step explanation:

Answer:

that would be 199 million

Step-by-step explanation:

that would be 199 million because 126 thousand isn't close enough to half of 1 million

The circumference of the given circle is approximately 47.3 inches.

Since the length of the arc KL and the measure of the central angle ∠KOL are known, we can use the formula for arc length to find the circumference of the circle:

arc length = (central angle / 360°) x circumference

Plugging in the known values, we have:

4.6 in = (35° / 360°) x circumference

Solving for the circumference, we get:

circumference = 4.6 in / (35° / 360°)

circumference = 4.6 in x (360° / 35°)

circumference ≈ 47.3 in (rounded to the nearest tenth)

Therefore, the circumference of the circle is approximately 47.3 inches.

Learn more about the arc of the circle here:

brainly.com/question/1577784

#SPJ1

Answer:

3.83

Step-by-step explanation:

Mean of x = Σx / n

Mean of x = (14 + 19 + 13 + 6 + 9) / 5 = 12.2

Sum of square (SS) :

(14-12.2)^2 + (19-12.2)^2 + (13-12.2)^2 + (6-12.2)^2 + (9-12.2)^2 = 98.8

Mean of y = Σy / n

Mean of y = (101 + 89 + 48 + 21 + 47) / 5 = 61.2

Σ(y - ybar)² = (101-61.2)^2 + (89-61.2)^2 + (48-61.2)^2 + (21-61.2)^2 + (47-61.2)^2 = 4348.8

df = n - 2 = 5 - 2 = 3

Σ(y - ybar)² / df = 4348.8 / 3 = 1449.6

√(Σ(y - ybar)² / df) = √1449.6 = 38.074

Standard Error = √(Σ(y - ybar)² / df) / √SS

Standard Error = 38.074 / √98.8

Standard Error = 3.83

Step-by-step explanation:

step 1. -5f + 5 < 15

step 2. -5f < 10 (subtract 5 from each side)

step 3. f > -2 (divide both sides by -5 - dont forget to flip arrow when dividing by a negative number).

Explanation

the coordinate (0,y) makes a triangle

then

now, we can use the Pythagorean theorem to find y. P.T states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse,so in this case.

replace.

therefore, a posible value for y is

I hope this helps you

Answer: 8

Step-by-step explanation: Altogether you sold x last week, if you do x + 14 which is 2x12 brownies sold, then at 3$ each 3(2x+12)=84 so 6x + 36 = 84

84- 36 = 48/6 = 8

Given the equations a × b = 5742 × 6368, a × c = 5748 × 6362, and c × b = 5738 × 6372, we need to determine the relationship between the three variables a, b, and c.

By comparing the given equations, we notice that the numbers on the right-hand side of each equation are very close to each other, differing only by small amounts. This suggests that a, b, and c are approximately equal.Since a × b, a × c, and c × b involve the same numbers with slight variations, we can conclude that a, b, and c are all very close in value.

Therefore, the inequality we can infer from this information is a ≈ b ≈ c, indicating that a, b, and c are approximately equal.

In simple terms, based on the given equations, it suggests that the values of a, b, and c are very similar or approximately equal to each other.

For more such questions on equations

https://brainly.com/question/29174899

#SPJ8

Answer:

Use the given formulas and replace s with its value of 5 inches.

So the volume:

Total surface area:

Step-by-step explanation:

\(volume = {a}^{3} = {5}^{3} = 5 \times 5 \times 5 = 125 {inch}^{3} \\ surface \: area = 6 {a}^{2} \\ = 6 \times {5}^{2} = 6 \times 5 \times 5 \\ = 150 {inch}^{2} \\ thank \: you\)