Mathematics High School

The measure of Angle E, the angle of elevation from point A to point B, is ( 3 x plus 1 ). The measure of Angle D, the angle of depression from point B to point A, is 2 ( x plus 8 ) Find the measure of each angle.

Answers

Answer 1
Let
E----------------> angle of elevation
D----------------> angle of depression
we know that
E=(3x+1)
D=2(x+8)
remember that
angle of elevation is equals to angle of depression------> by alternate angles
then 
E=D
(3x+1)=2(x+8)-----------> 3x+1=2x+16----------> 3x-2x=16-1-----> x=15
E=3*15+1-------> 46°
D=2*15+16-----> 46°

the answer is
the measure of angle of elevation and angle of depression is 46°

Related Questions

Which equation is equivalent to

Answers

It is the last equation. You square both sides. 
the last equation is correct

There is an old riddle about a frog at the bottom of a 20-foot well. if he climbs up 3 feet each day and slips back 2 feet each night, how many days will it take him to reach the 20-foot mark and climb out of the well?

Answers

For this case what we are going to do is write step by step the equation of the line
 f (x) = mx + b
 We have:
 20-foot well:
 f (x) = mx + 20
 if he climbs up 3 feet each day and slips back 2 feet each night:
 f (x) = - 3x + 2x + 20
 f (x) = - x + 20
 When it reaches 20 feet we have f (x) = 0:
 f (x) = - x + 20
 0 = -x + 20
 x = 20 days.
 Answer: 
 It will take him 20 days to reach the 20-foot mark and climb out of the well

How many possible outcomes would there be if three coins were each tossed once?

Answers

the answer is 6 because there is only 2sides to a coin and there are three coins so you would times 3by 2

A quarter circle is attached to the side of a square as shown.

What is the best approximation for the area of this figure?

Use 3.14 to approximate pi.


28.6 m²

41.1 m²

66.24 m²

116.5 m²



Answers

The area of the square is s×s
 = 4×4 = 16 m²
The area of a quarter circle is (πr²)/4
    = 3.14 × 16/4
    = 3.14 ×4
    = 12.56 m²
Therefore, the total area is;
     = 16 +12.56
     = 28.56 m²
     ≈ 28.6 m²
-TalibShaheed
The area of the square is YxY
 = 4×4 = 16 m²
The area of a quarter circle is (πr²)/4
    = 3.14 × 16/4
    = 3.14 ×4
    = 12.56 m²
That means, the total area is:
     = 28.56 m²
Or it will be about:
     ≈ 28.6 m²
Hope it helped!
-Gabrielle



what is the solution to the proportion 3/m=12/15

Answers

b 3.75 it is simple it is easy 
the answer 3.75 i think 

Carson’s estimate for the cost of tiling his bathroom floor is $25 plus $5 per square foot. He says that he can model the cost with a linear function. Is Carson correct? Why or why not?

Answers

Carson is correct.
 Let's write the variables first.
 Let:
 x = number of square feet of the bathroom floor.
 y = total cost in $.
 The function that best suits the problem is:
 y = 5x + 25
 Answer:
 Carson is correct.
 y = 5x + 25

The angle of depression from the top of a flag stick to a golf ball on the ground is 24 degrees. If the flagstick is 6 feet tall, how far away is the golf ball from the base of the flag stick?

A. 13.5 ft
B. 12.3 ft
C. 9.8 ft
D. 14.6 ft
E. 15.1 ft

Answers

check the picture below.

make sure your calculator is in Degree mode.

Answer:

The Golf ball from the base of the flag stick is 13.5 ft

A is correct.

Step-by-step explanation:

Please see the attachment for figure.

Let AB is height of flag stick. AB=6 ft

BC is distance of golf ball from base of the flag stick.

In ΔABC, ∠B=90°

[tex]\dfrac{AB}{BC}=\tan 24^\circ[/tex]

[tex]\dfrac{6}{BC}=0.4452[/tex]

[tex]BC=13.5[/tex] ft

Hence, The Golf ball from the base of the flag stick is 13.5 ft

Choose the right answer. If the distance on a map from point R to point T measures 3.0 inches and the scale is 1 inch = 0.5 miles, what is the distance in miles from point R to point T? ______ miles
A. 6.0
B. 3.0
C. 1.5

Answers

The answer is c because when you multiply 3.0 by 0.5 I️t gives you 1.5

Answer: The distance from point R to point T is 1.5 miles.

Step-by-step explanation:

In the map, the scale is,

1 inches = 0.5 miles,

3 inches = 3 × 0.5 = 1.5 miles,

Thus, in the map 3 inches shows 1.5 miles,

Since, in the map, the distance from point R to point P = 3 inches,

Thus, the actual distance from point R to point P = 1.5 miles.

⇒ Option C is correct.

Find the prime factorization of 60

Answers

The answer is the bottom one because you always use exponents if there are 2 or more of the same prime number.
Hey there! 

[tex]2(2) = 4(3) = 12(5) = 60 [/tex]

[tex]2^2 =4 = 4(3) =12(5) = 60 [/tex]

They are both prime factorization of [tex]60[/tex] 

But, if you had to choose one then pick:[tex] 2*2*3*5[/tex] (the first option) 

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

ALGEBRAIC PROOF PLEASE HELP IT IS MY LAST QUESTION I AM STUMPED
Use the following problem to answer the question below:

Given: 3(x – 4) = 33
Prove: x = 15

3(x – 4) = 33 Given

3x – 12 = 33 A

3x – 12 + 12 = 33 + 12 B

3x + 0 = 45 C

3x = 45 D

x = 15 Division Property of Equality

What is the reason for D?

Answers

3x +0 can be replaced by 3x because of "the additive identity property of real numbers: anything plus zero is that thing."

The price of a share of stock started theday at $37. During the day it went down $3, up $1, down $7, and up $4.What was the price of a share at the end of the day?

Answers

$32  because 37-4+1-7+4=32
it went up $5 total but went down $10 so you take the base number and subtract 5 from it
(because 10-5=5)
so the answer is $32

what is the domain of the function y=3sqrt(x)

Answers

y=3sqrt(x)

x≥0

Because every number in the domain must yield real number outputs, set what is in the radical greater than or equal to 0.
ANSWER

The domain of the function

[tex]y = 3 \sqrt{x} [/tex]
is
[tex]x \geqslant 0[/tex]


EXPLANATION


The domain of a function refers to all values of x for which y is defined.



Since this is a square root function, we need to keep the expression under the square root sign to be greater than or equal to zero.



As soon as the expression under the root sign is less than zero, the function will not be defined.


This means that the square root of a negative number will not be a real number.



Thus the domain is
[tex]x \geqslant 0[/tex]


or

[tex][0, \infty )[/tex]

a fair cube is used in a game . the face of the cube are labeled 1 through 6 . what is the probability of a player rolling a number grater than 4 ?

Answers

There are six equally possible outcomes to get: 1, 2, 3, 4, 5, 6. The probability to roll a number greater than 4 is equal to the probability to get 5 or 6, two of the six possible outcomes. Thus the probability is 2/6=1/3.

helppppppppppppppppppppp

Answers

What you should keep in mind in this case is:
 1) Trigonometric functions.
 2) rewrite the expression
 3) Cancel similar terms.
 Note: See attached image.
 Answer:
 Cot(x)
 option 2

A regular pyramid has a _____ base and a vertex over the center of the base.

Answers

A regular pyramid has a regular polygon base and vertex over the center of the base.

Regular Polygon~~~~ APEX

HELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELP

Answers

Your answer would be 37.5%

What is the sum of the geometric series: 
3
∑5(-2/3)^i
i=0

Answers

We use the law of the sum of the 3 first terms of the geometric sequence:
[tex]\sum_{i=0}^35\left(\dfrac{-2}{3}\right)^i=5\dfrac{1-\left(\dfrac{-2}{3}\right)^4}{1-\left(\dfrac{-2}{3}\right)}\\=5\dfrac{\left(\dfrac{3^4-2^4}{3^4}\right)}{\left(\dfrac{5}{3}\right)}\\=3\left(\dfrac{65}{81}\right)=\dfrac{65}{27}[/tex]

Can someone please explain this to me? I keep getting -infinity as the answer.

Answers

There is an indeterminate form: infinity/infinity. To solve it, you can use the infinite comparison method. First, you have to identify which has the highest degree term: whether the numerator or the denominator. In this case, it is the numerator, which has the negative term of degree 4: -7x ^ 4. Then, the result is -∞.

 Therefore, the answer is the last option: Does not exist.

Which term can be combined in the expression below? check all that apply. 5/6a - 2b - 16.3 + b/12 + c - 0.9b

Answers

the answers are options 2, 4, and 6.

Answer:

Option 2nd , 4th and 6th correct

[tex]-2b[/tex], [tex]\frac{b}{12}[/tex] and [tex]-0.9b[/tex]

Step-by-step explanation:

Like terms are those terms which have same variable to the same power.

Given the expression:

[tex]\frac{5}{6}a-2b-16.3+\frac{b}{12}+c-0.9b[/tex]

Combine like terms;

[tex]\frac{5}{6}a+b(-2+\frac{1}{12}-0.9}-16.3+c[/tex]

Simplify:

[tex]\frac{5}{6}a-2.81666667b-16.3+c[/tex]

Therefore, the  term can be combined in the given expression is,

[tex]-2b[/tex], [tex]\frac{b}{12}[/tex] and [tex]-0.9b[/tex]

2/5 of the children in a club are girls,if there are 24 boys,how many children are there altogether?how many more boys than girls are there

Answers

2/5 are girls, therefore 3/5 are boys

3/5 = 24
1/5 = 24 ÷ 3 = 8
2/5 = 8 x 2 = 16

Altogether = 16 + 24 = 40 

24  - 1 6 = 8

There are 40 children altogether
There are 8 more boys than girls.


8 More Boys

2/5 = 16/40
24 = 3/5

24 - 16 = 8

Therefore, There Are 8 More Boys Than Girls.

A) –6n + 2mn – 25np

B) –6n + 2m – 25np

C) –6n – 2mn + 25np

D) –24n + 8mn – 100np

Answers

1/4 n(-24 + 8m - 100p) = -6n + 2mn - 25np (Answer A)
Hey there! 

Since we have different variables and we CANT combine our like terms of this problem, we would have to do them separately (but multiply everything by [tex] \frac{1}{4} n[/tex] ) 

[tex] \frac{1}{4} n (-24 + 8m - 100p )[/tex]

[tex] \frac{1}{4}n(-24) \\ \\ \\ \frac{1}{4}n (8m) \\ \\ \\ \frac{1}{4} n (100p)[/tex]

Your answer: [tex]-6n + 2mn + 25np[/tex] ( option A. seem closer) 
 
Good luck on your assignment and enjoy your day!

~[tex]LoveYourselfFirst:)[/tex]

what is the classification for this polynomial?

4

Choices:
A. Monomial
B. Binomial
C. Trinomial

Answers

well, is just a number 4 all by its lonesome, just a bare constant in this case, however, that makes it a "term".

a polynomial can be name by how many terms in it, POLYnomial, POLY=many,  now, this is just one, MONO=one, MONOmial.

which term describes the red curve of the figure below?

Answers

A. Hyperbola
Hyperbola is where there are two curves (one up, one down)

Answer:

A) Hyperbola.

Step-by-step explanation:

Given : Figure .

To find : Which term describes the red curve of the figure below.

Solution : We can see from the given figure two red curve  up and down .

Hyperbola : A hyperbola is two curves that are like infinite bows.

Therefore, A) Hyperbola.

If two polygons are similar then the corresponding sides are equal and the corresponding angles are proportional. True or False?

Answers

We can say that two polygons are similar if they have the same shape as the other but they are jut different in size. Even when the other polygon is flipped over or rotated, the shape still remains similar. Two polygons are considered similar only if their corresponding sides are proportional and their angles must be congruent. 

If the question is phrased like that however, your answer would be false because the sides are not equal, they are proportional. The angles are not proportional, they should be congruent or equal.

Daria walked 1 2/5 miles this morning and 2 3/10 miles this afternoon. How many miles did Daria walk in all?

Answers

the answer is 3 7/10 miles 

In all, means add up
1 2/5 + 2 3/10
rewrite into improper fractions
7/5 + 23/10
To add, you must have the same denominator
in this case, multiply the first fraction by 2 to get the denominator to 10
7*2/5*2
14/10

now solve
14/10 + 23/10
37/10

Now you can rewrite this to a mixed number
3  7/10

She walked 3  7/10 miles total of the day.

Hope this helps

COULD U PLEASE PLEASE HELP ME !!!!!!!!!!!
BRAINLIEST AVAILABLE

Answers

The first one is correct

solve 30 - 9.8x

A.) x = 39.8
B.) x = 20.2
C.) x = 3.06
D.) x = 0.33

Answers

30 - 9.8x
x = 30 / 9.8
x = 3.06

Answer is C

Answer: x = 3.06

Step-by-step explanation:

You do 30 divided by 9.8 and you get 3.06

Which expression is equivalent to (b^n)^m

Answers

C
When the exponents are set up like that you multiply them. 

Answer:

C. [tex]b^{n\cdot m}[/tex]

Step-by-step explanation:

We have been given an expression [tex](b^n)^m[/tex]. We are asked to find the equivalent expression to our given expression.

Using exponent property [tex](a^b)^c=a^{b\cdot c}[/tex], we can write our given expression as:

[tex](b^n)^m=b^{n\cdot m}[/tex]

Therefore, option C is the correct choice.

solve proportion 12/p = 36/45

Answers

12 x 45 / 36 is 15. p=15

The percent of the discount in the problem above is 15%. What percent of the original bill is Chumani's bill? How could you solve the problem using this percent?

Answers

15%= 0.15

That’s all I know about this problem but was there something else? Like the actual total of Chumani’s bill?

Chumani's bill represents 85% of the original bill after a 15% discount is applied. The discounted amount can be found by multiplying the original bill by 0.85.

If the discount on an item is 15%, and Chumani is paying after this discount has been applied, we want to find out what percent of the original bill Chumani's bill is. To do this, we subtract the discount rate from 100%. So, 100% - 15% = 85%. Thus, Chumani's bill is 85% of the original bill.

To calculate the discounted bill, you multiply the original bill amount by 0.85 (which represents 85%). If the original bill was, for example, $100, the calculation would be $100 x 0.85 = $85. So, Chumani would pay $85, which is 85% of the original bill amount.

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