-7x + 17 > 115 solution

Answer:

~114.28 feet

I hope it will be useful.

The distance of the boat from the base of the cliff is 114 feet.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

Cliff ________________

       \  ) 35°                       |

          \                              |

              \                          |  ( 80 feet )

                   \                     |

                        \                |

                              \          |

                                     \  Boat

     ← ______x________→

(distance of the boat from the base of the cliff)

Now,

tan 35 = 80/x

0.7 = 80/x

x = 80/0.7

x = 114 feet

Thus,

The distance of the boat from the base of the cliff is 114 feet.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ5

Answer:

The answer is Before Max had $53

Step-by-step explanation:

assume i gave you one piece of candy and now i have none left. how many did i have before i gave you that one piece?

Answer:

size of angle A is 93.19°

Answer:  i will answer this question

Step-by-step explanation:

Answer:

y = -3x + 7

Step-by-step explanation:

Again, pick a random point. I chose point (0,7). Then, we see how many units it takes to reach the next point. Let's try it. First, we move down 3 units, rise = -3, then move right 1 unit, run 1. So slope is rise over run, so -3/1 = -3. Then, for the y intercept, just see the y value when x = 0.

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (2, 1) ← 2 points on the line

m = [tex]\frac{1-7}{2-0}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - 3x + 7 ← equation of line

Answer:

2+11

Step-by-step explanation:

Distribute

(8+9−1(6−2)

(8+9)−6+22

Eliminate redundant parentheses

(8+9)−6+2

8+9−6+23

Add the numbers

8+9-6+2

8+11−64

Combine like terms

8+11−6

2+11

x=-7/2 is the value of the expression (8x + 9) + (-6x - 2).

An expression is combination of variables, numbers and operators.

The given expression is (8x + 9) + (-6x - 2).

Eight times of x plus nine plus minus six times of x minus two.

x is the variable in the expression , plus and minus are the operators.

(8x + 9) + (-6x - 2).

8x+9-6x-2

Add the like terms

2x+7

2x=-7

Divide both sides by 2

x=-7/2

Hence, x=-7/2 is the value of the expression (8x + 9) + (-6x - 2).

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ5

B. Iliana is correct because Henry included a fraction. Fractions are not integers.

Answer:

B

Step-by-step explanation:

Answer: [tex]2\dfrac13\text{ miles per hour}[/tex]

Step-by-step explanation:

Given: Distance traveled by Smith = [tex]\dfrac23[/tex] mile.

Time taken = [tex]\dfrac27[/tex]  hour

Unit rate in miles per hour = ( Distance traveled by Smith) ÷ (Time taken)

[tex]=\dfrac23\div\dfrac27[/tex]

[tex]\\\\=\dfrac23\times\dfrac72\\\\=\dfrac73\\\\=2\dfrac13\text{ miles per hour}[/tex]

Unit rate  = [tex]2\dfrac13\text{ miles per hour}[/tex]

Answer:

20 painters are painting the inside

Step-by-step explanation:

Answer:

Yes, Amy is right

Step-by-step explanation:

Given that:

Total number of books donated = 4287

Fiction books = 2596

Since the rest of the books are non fiction:

Number of nonfiction books :

Total number of books - number of fiction books

4287 - 2596

= 1691

Answer:

0.033 pounds/min

Step-by-step explanation:

For Meagen:

Time taken to cook golden turkey = 56 minutes

Weight of golden turkey = 12 pounds

For her competitor:

Time taken to cook golden turkey = 1 hour 16 minutes = 77 minutes

Weight of golden turkey = 304 ounces

16 ounces = 1 pound

Therefore, 304 ounces = [tex]\frac{304}{16}[/tex] = 19 pounds

Now, let us find the number of pounds cooked per minute by each chef.

Pounds cooked per minute by Meagen = [tex]\frac{12}{56} = 0.214\ pounds/min[/tex]

Pounds cooked per minute by the competitor = [tex]\frac{19}{77} = 0.247\ pounds/min[/tex]

Difference = 0.247 - 0.214 = 0.033 pounds/min

9514 1404 393

Answer:

  C:  5, -1, -7, -13, -19, ...

Step-by-step explanation:

You need look no further than the second term. That term will be ...

  f(2) = f(1) -6

  f(2) = 5 -6 = -1 . . . . matches sequence C

Answer:

f + g = [tex]\frac{x-1}{x+ 3}+\frac{x-3}{x+1}=\frac{x^{2}-1 }{(x+3)(x+1)}+\frac{x^{2}-9 }{(x+1)(x+3)}=\frac{2x^{2}-10 }{(x+1)(x+3)}[/tex]

Step-by-step explanation:

Answer:

V=301.4cm^3

A=188.4cm^3

I hope it will be useful.

Answer:

Step-by-step explanation:

I. Volume = 301.6 cm³ (to 1d.p)

II. CSA = 188.5 cm² (to 1d.p)

Step-by-step explanation:

Given the following data;

Height, h = 8cm

Radius, r = 6cm

Curved length = 10cm

a. To find the volume of the cone

Where;

V is the volume of the cone.

r is the radius of the base of the cone.

h is the height of the cone.

Substituting into the equation, we have;

Volume = 301.6 cm³ (to 1d.p)

b. The curved surface area of the cone

Where;

CSA is the curved surface area of the cone.

r is the radius of the base of the cone.

l is the curved length of the cone.

Substituting into the equation, we have;

CSA = 188.5 cm² (to 1d.p)

Answer:

A

Step-by-step explanation:

We can see there are 2 parts of this function: one line for x<1 (because there is a circle for x=1, meaning it disincludes it) and one line for x >= 1 (because there is a filled circle for x=1, meaning it includes it). Therefore, we can disregard choice B (because it has x <= 1 and x > 1 instead of x<1 and x>= 1).

Notice that the part that x<1 passes through the origin, meaning the y-intercept is 0. In y= mx + b form of a line, b is the y-intercept, so b = 0 and we are looking for something in the form of y = mx for x < 1. Wee see that only in choice A that this is satisfied. Therefore, the answer is A.

I hope this helps! :)

Answer:

Step-by-step explanation:

Answer:

monke

Step-by-step explanation:

monkey

I think its the first and last one. But I could be completely wrong.

Answer:

D. 5 for x less than or equal to 4, equals 2x for x between 4 and 6 including 6, and equals 4 for x greater than 6 Domain: All real numbers.

Step-by-step explanation:

Find the complete diagram attached

First we need to get the derivative of the functions

For the function f(x) = 5x - 6

Using the formula

If f(x) = axⁿ

f'(x) = naxⁿ⁻¹

For the function f(x) = 5x - 6

f'(x) = 1(5)x¹⁻¹

f'(x) = 5x⁰

f'(x) = 5

For the function f(x) =x²-2

f'(x) = 2x²⁻¹

f'(x) = 2x

For the function f(x) = 4x+10

f'(x) = 1(4)x¹⁻¹

f'(x) = 4x⁰

f'(x) = 4

Get the domain

The domain is the value of the input variable x for which the functions exists. For the functions given, the domain will be on all real numbers i.e the functions will exists for any value of x on the number line.

Hence Option D is correct

Answer:

Was the answer above correct????

Step-by-step explanation:

Answer:

A?

Step-by-step explanation:

Step-by-step explanation:

6x=48+9 is the first step

Answer:

J

Step-by-step explanation:

Answer:

[tex]\dfrac{96}{40}[/tex] and [tex]\dfrac{120}{50}[/tex]

Step-by-step explanation:

24 kernels in 10 minutes

In 1 minute she can eat [tex]\dfrac{24}{10}=\dfrac{12}{5}\ \text{kernels}[/tex]

let [tex]x[/tex] be the number of popcorn and minutes so the rate of eating popcorn is of the form

[tex]\dfrac{x12}{x5}[/tex]

So, when [tex]x = 6[/tex] we get

[tex]\dfrac{6\times12}{6\times 5}=\dfrac{72\ \text{kernels}}{30\ \text{minutes}}[/tex]

[tex]x[/tex] can be any real number

[tex]\dfrac{10\times 12}{10\times 5}=\dfrac{120\ \text{kernels}}{50\ \text{minutes}}[/tex]

[tex]\dfrac{8\times 12}{8\times 5}=\dfrac{96\ \text{kernels}}{40\ \text{minutes}}[/tex]

Other two ratios can be [tex]\dfrac{96}{40}[/tex] and [tex]\dfrac{120}{50}[/tex].

Answer:

D. 0.80

Step-by-step explanation:

P(A or B) = P(A) + P(B)

P(A or B) = 0.60 + 0.20

P(A or B) = 0.80

The probability of P(A or B ) is 0.80.

The correct option is D.

Since A and B are mutually exclusive events, they cannot occur simultaneously.

Thus, the probability of A or B occurring is equal to the sum of their individual probabilities:

P(A or B) = P(A) + P(B)

Therefore, we need to subtract the probability of the intersection of A and B:

P(A and B) = 0 (since A and B are mutually exclusive)

Thus, we have:

P(A or B) = P(A) + P(B) - P(A and B)

Substitute all the given values to the equation,

we get,

= 0.60 + 0.20 - 0

= 0.80

Therefore, the probability of A or B occurring is 0.80 or 80%.

To learn more about the probability;

brainly.com/question/11234923

#SPJ7

Answer:

x=15

angle =34

Step-by-step explanation:

find the missing angle

180-146=34

angle=34

so

all angles added together

(5y+3)+(4y+8)+34=180

9y+11+34=180

9y+45=180

9y=135

y=15

Answer:

c

Step-by-step explanation:

The greatest possible whole-number length of the unknown side among the option is 9 inches.

Obtuse triangle is a triangle that has one of it internal angle greater than 90 degrees.

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

If the sides of the triangles are x, y and z. Therefore,

x + y > z

x + z > y

y + z > x

Therefore, the greatest possible length among the option is 9.

Proof

12 + 14 > 9

12 + 9 > 14

14 + 9 > 12

learn more on triangle here: https://brainly.com/question/10373668

Answer:

The answer is C: (-9,1) and (5,1). took the test. Good luck!

Step-by-step explanation:

The coordinates of the vertices that lie on the major axis of the conic section can be written as (5,1) and (-9,1), so option C is correct.

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given equation:

(x + 2)² / 49 + (y - 1)² / 25 = 1

The above equation can be simplified as,

(x + 2)² / 7² + (y - 1)² / 5² = 1

The left side has to be equal to 1, the (x + 2)² / 7² the term has to be equivalent to 1, and the term (y - 1)² / 5² to be equivalent to zero

(y - 1)² / 5² = 0, y - 1 = 0, y = 1

(x + 2)² / 7² = 1

(x + 2)² = 49

(x + 2) = ±7

x = +7 - 2 = 5

x = -7 - 2 = -9

Therefore, the coordinates of the vertices that lie on the major axis of the conic section can be written as (5,1) and (-9,1).

To know more about equation:

https://brainly.com/question/12788590

#SPJ2

Answer:

Maggie's answer is going to be approximately 2 miles.

Step-by-step explanation:

Answer:

Step-by-step explanation:

0