From the top of tower, the angle of depression to a stake on the ground is 60°. The top of the tower is 80 feet above the ground. How far is the stake from foot of the tower?

Answer:

the third option

Step-by-step explanation:

Answer:

in the explanation

Step-by-step explanation:

In the number line, the left most number would be -200 as it's the lowest, the middle would be -150, as this number is in between the other two, and the right most would be 75, as it's the greatest.

Hope this helps!

Answer:

The team made x<53 points total.

Step-by-step explanation:

1/4+1/10 is 7/20 or 0.35 in decimal form. If they both together scored 21 points then you can add another 7/20 (21 points) and have 14/20 (42 points). You have 6/20 more left. If you can solve what 1/20 could be then you would find the answer. Does this helps?

Answer:

The total number of points scored is 60.

Step-by-step explanation:

We can multiply a number to both fractions to get them to share a common denominator so we can add them easily. 20 is a multiple of both 4 and 5, so let us multiply both denominators so that they each have a denominator of 20.

1/10 * 2 = 2/20

1/4 * 5 = 5/20

Now we can add those fractions together because we want to see the total amount of points the team scored.

2/20 + 5/20 = 7/20

If 7/20 is 21 points, we can find out how much points takes up 1/20 of the fraction. We do this by dividing 21 by 7.

21 / 7 = 3

So 1/20 = 3

Now we multiply 3 by 20, which is 60. So therefore the total amount of points scored by the team is 60. Brian scored 1/10 of 60, which is 6. So he scored 6 points. Joe scored 1/4 of 60, which is 15. So Joe scored 15 points. Hope this helps.

Answer:

B. 140

Step-by-step explanation:

With this chart, you must know the fundamentals of the angles. In this case, angle c and e are supposed to equal to 180. In the question, it gives us both the formulas for both angles. So adding them up to 180 will give us x

(x - 10) + (2x + 40)

with a trusty calculator, you will get

= 3x + 30

Now equal this equation to 180

3x + 30 = 180

3x = 180 - 30

3x = 150

Now divide 150 to 3

150 divided by 3 = 50

x = 50

Now just add the x to the angle c

2(50) + 40

=140

To further check if its correct, add the x to angle e

(50) - 10

=40

140 +40 = 180

So the answer would be 140

*Answer**

To get the Greates Common Factor (GCF) of 1700 and 1938 we need to factor each value first and then we choose all the copies of factors and multiply them:

1700: 2 2 5 5 17

1938: 2 3 17 19

GCF: 2 17

The Greates Common Factor (GCF) is: 2 x 17 = 34

Answer:

B

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

37.5%

60%

75% and .75

Step-by-step explanation:

Answer:

[tex]\underline{192}, 24, \underline{3}, \underline{\dfrac{3}{8}}, \dfrac{3}{64}[/tex]

[tex]\underline{\dfrac{1}8}, \dfrac{1}{4}, \dfrac{1}{2}, \underline{1}[/tex]

[tex]81, \underline{27, 9, 3, 1},\dfrac{1}{3}[/tex]

Step-by-step explanation:

Given the Geometric sequences:

1. ___, 24, ___, ___, 3/64

2. ___, 1/4, 1/2, ___

3. 81, ___, ___, ___, ___, 1/3

To find:

The values in the blanks of the given geometric sequences.

Solution:

First of all, let us learn about the [tex]n^{th}[/tex] term of a geometric sequence.

[tex]a_n=ar^{n-1}[/tex]

Where [tex]a[/tex] is the first term and

[tex]r[/tex] is the common ratio by which each term varies from the previous term.

Considering the first sequence, we are given the second and fifth terms of the sequences.

Applying the above formula:

[tex]ar = 24\\ar^4 = \dfrac{3}{64}[/tex]

Solving the above equation:

[tex]r = \dfrac{1}{8}[/tex]

Therefore, the sequence is:

[tex]\underline{192}, 24, \underline{3}, \underline{\dfrac{3}{8}}, \dfrac{3}{64}[/tex]

Considering the second given sequence:

[tex]ar = \dfrac{1}{4}\\ar^2 = \dfrac{1}{2}\\\text{Solving the above equations}, r = 2[/tex]

Therefore, the sequence is:

[tex]\underline{\dfrac{1}8}, \dfrac{1}{4}, \dfrac{1}{2}, \underline{1}[/tex]

Considering the third sequence:

[tex]a = 81\\ar^5=\dfrac{1}{3}\\\Rightarrow r = 3[/tex]

Therefore, the sequence is:

[tex]81, \underline{27, 9, 3, 1},\dfrac{1}{3}[/tex]

Answer:

[tex]S_{7}[/tex] = - 119973

Step-by-step explanation:

The sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a(r^n-1)}{r-1}[/tex]

where a is the first term and r the common ratio

Here a = - 3 and r = 18 ÷ - 3 = - 6 , thus

 [tex]S_{7}[/tex]   = [tex]\frac{-3(-279936-1)}{-6-1}[/tex]

    = [tex]\frac{-3(-279937)}{-7}[/tex]

    = [tex]\frac{839811}{-7}[/tex]

     = - 119973

Answer:2 is equal to 18/1 which is 36 divided by 2

Step-by-step explanation:

Answer:

1 is 20/1 or 20 miles per hour

2 is 18/1 or 18 push ups per min

3 is 15/1 or 15 dollars per hour

4 is 50/1 or 50 km per hour

Step-by-step explanation:

divide the numerators by the denominators

Answer:

see below

Step-by-step explanation:

5x+5+4x=4-3x+6

Combine like terms

9x+5 = 10-3x

Add 3x to each side

9x+3x +5 = 10-3x+3x

12x+5 = 10

Subtract 5 from each side

12x+5-5 = 10-5

12x = 5

Divide each side by 12

12x/12 = 5/12

x=5/12

Answer: 3 2/4 & 9 13/15

Step-by-step explanation:

Answer:

A. 13 + t = 17

Step-by-step explanation:

The top rectangle shows 13 and t, the 13 and t rectangle is the same size as the 17 rectangle so 13 + t = 17. It's not multiplication as there's no multiple's of 13 or t on the diagram.

Answer:

cosjk = √55 i/3

tanjk = 8/√55 i

Step-by-step explanation:

Given

sin jk = 8/3

According to SOH CAH TOA

Sin theta = opposite/hypotenuse = 8/3

Opposite = 8

hypotenuse = 3

Get the adjacent using the pythagoras theorem

hyp² = opp²+adj²

adj² = hyp² - opp²

adj² = 3² - 8²

adj² = 9-64

adj² = -55

adj = √-55

adj = √55 i (i = √-1)

Get cosjk

cosjk = adj/hyp

cosjk = √55 i/3

Get tanjk

tanjk = opp/adj

tanjk = 8/√55 i

Answer:

-8 × 3 = - 3 × ( 8)

or -21 = -21

Answer:

-21

Step-by-step explanation:

Answer:

1. b 2. d 3 a

Step-by-step explanation:

Subtracting from the group or a number of things is what subtracting signifies in math, and the calculation can be defined as follows:

Following are the solution to the given subtraction equations:

For question 1:

A) 4.3 - (-0.9) = 4.3+ 0.9= 5.2 that is true

B)  4.3 - 0.9 = 5.2 that is false because answer is 3.4

C) -4.3 - 0.9 = 5.2 that is false because answer is -5.2

D)  -4.3 - (-0.9) = -4.3 +0.9 = 5.2 that is false because answer is -3.4

For question 2:

[tex]\to \frac{3}{4} + (-\frac{1}{2})\\\\\to \frac{3}{4} -\frac{1}{2}\\\\\to \frac{3-2}{4}\\\\\to \frac{1}{4}\\\\[/tex]

Therefore, the answer is "Option C".

For question 3:

[tex]\to \frac{2}{3} - (-\frac{2}{3})\\\\\to \frac{2}{3} +\frac{2}{3}\\\\\to \frac{4}{3}\\\\[/tex]

Therefore, the answer is "Option B".

For question 4:

[tex]\to \frac{2}{5} + (-\frac{4}{5})\\\\\to \frac{2}{5} -\frac{4}{5}\\\\\to \frac{2-4}{5}\\\\\to \frac{-2}{5}\\\\[/tex]

Therefore, the answer is "Option B".

For question 5:

[tex]\to[/tex] 4 – (-6)

[tex]\to[/tex] 4 +6

[tex]\to[/tex] 10

Therefore, the answer is "Option D".

For question 6:

[tex]\to - \frac{2}{6} + (\frac{3}{2})\\\\\to - \frac{1}{3} + \frac{3}{2}\\\\\to \frac{2-9}{6}\\\\\to \frac{-7}{6}\\\\[/tex]

Therefore, the answer is "Option B".

For question 8:

[tex]\to \frac{3}{4} - (-\frac{1}{4})\\\\\to - \frac{3}{4} + \frac{1}{4}\\\\\to \frac{3+1}{4}\\\\\to \frac{4}{4} \\\\ \to 1[/tex]

Therefore, the answer is "Option D".

For question 9:

A) -3.4 + 5.7 = -9.1 that's is false because answer is 2.3

B) -3.4 + (-5.7) = -9.1 that's is true.

C) 3.4 + (-5.7) = -9.1 that's is false because answer is -2.3

D) 3.4 + 5.7 = -9.1  that's is false because answer is 9.1

Find out more about the subtraction here:

brainly.com/question/1927340

Given:

The table shown the number of campers, x, at a local campsite and the total amount of money, y, in dollars, earned by the camp site.

To find:

The unit for the rate of change.

Solution:

We know that, rate of change is the change in y-values with respect to x-values, i.e.,

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

In the given problem, y is the total earnings in dollars and x is the number of campers. So, the rate of change represents the change is earnings with respect to number of campers.

Thus, the unit of rate of change is dollars per camper.

Therefore, the correct option is D.

Answer:

8 percent loss

Step-by-step explanation:

The percentage loss is -8%.

Given that,

Based on the above information, the percentage loss should be

[tex]= \frac{\$4.60-\$5}{\$5}[/tex]

= -8%

Therefore we can conclude that the percentage loss should be -8%.

Learn more: brainly.com/question/2155156

Answer:Phil Wickham - Great Things (Official Lyric Video) -

Step-by-step explanation:

Answer:

B:rate

Step-by-step explanation:

the formula distance= rate × time

Answer:

B

Step-by-step explanation:

The formula for distance is rate × time.

Flow and work don't make sense. Also, work is force × distance.

However, you were given rate is equal to distance/time (r=d/t) and were asked to find what distance would be:

in that case, we'll isolate d onto one side

here's the equation

r=d/t

multiply by t on both sides

rt=d, or rate × time equals distance

either way it's B

Hope this helps!

Answer:

150

Step-by-step explanation:

A=B*H/2

A=15*20/2

A=300/2

A=150

Ignore the hypotenuse btw

Answer:

C - 150 mm²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define Variables

Base b = 15 mm

Height h = 20 mm

Step 2: Find Area A

Answer:I think D I just got off of this sorry if I’m wrong

Step-by-step explanation:

Answer:

choose c beacuse it is closer to and is not false

Step-by-step explanation:

:D

y = 6x - 4

Substitute the given x values to solve for y.

x = 1:

y = 6(1) - 4

y = 6 - 4

y = 2

1 = 2

x = 3:

y = 6(3) - 4

y = 18 - 4

y = 14

3 = 14

x = 10:

y = 6(10) - 4

y = 60 - 4

y = 56

10 = 56

x                y

1                 2

3               14

10             56

Answer:

1176

hope this will help you

Answer:

Step-by-step explanation:

2L168      

2L84

2L42

3L21

7L7

2x2x2x3x7=168

2L196

2L98

7L49

7L7

2x2x7x7=196

Answer:

Lets show that:

Use formula:

Multiply LHS by 2sinx/2sinx:

Now, we can easily find that:

Coming back to the original equation, we get:

Answer:

1. 6x+10

2. 3x+[tex]\frac{1}{2}[/tex]/5

3. 2.5x-1.1

I'm not sure if I did it in the correct format. :(