Answer:
$ 15840
Step-by-step explanation:
12000 + 32% = 15840
The angle of depression of a rabbit from the top
of a cliff is 24°. After the rabbit hops a distance
of 80 m horizontally towards the base of the cliff,
the angle of depression of the rabbit from the
top of the cliff becomes 32°. Find the height of
the cliff.
The angle of depression is the angle formed with the horizontal, when an object is viewed below the horizontal level. Thus, the height of the cliff is approximately 123.86 m.
Let the height of the cliff be represented by h, so that:
From the triangle 1, we have:
tan [tex]32^{o}[/tex] = [tex]\frac{h}{x}[/tex]
⇒ h = tan [tex]32^{o}[/tex]*x
h = x tan [tex]32^{o}[/tex] ............. 1
Also, from the bigger triangle, we have:
tan [tex]24^{o}[/tex] = [tex]\frac{h}{80 + x}[/tex]
⇒ h = tan [tex]24^{o}[/tex] (80 + x) ......... 2
Now equating the expressions for h in equations 1 and 2, we have:
x tan [tex]32^{o}[/tex] = tan [tex]24^{o}[/tex] (80 + x)
0.6249x = 0.4452 (80 + x)
= 35.616 + 0.4452x
0.6249x - 0.4452x = 35.616
0.1797 x = 35.616
x = [tex]\frac{35.616}{0.1797}[/tex]
x = 198.2 m
Substitute the value of x in equation 1;
h = x tan [tex]32^{o}[/tex]
= 198.2 * 0.6249
= 123.8552
h = 123.86 m
Therefore, the height of the cliff is approximately 123.86 m.
A sketch to this question is attached.
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On a sunny day, Michelle and Nancy noticed that their shadows were different lengths. Nancy measured Michelle's shadow and found that it was 24.0 inches long. Michelle then measured Nancy's shadow and found that it was 13.5 inches long.
I will give BRAINLIEST plz help
Answer:
-0.37
-2.86
0.91
0.19
1.46
Step-by-step explanation:
I rlly need help it’s due tmrw
Answer:
3.Top: |-80| + |50| = 80 + 50 = 130m
Bottom: same as top
Left: |50| + |-20| = 50 + 20 = 70m
Right: same as left
4.
130m+130m+70m+70m=400m
The perimeter is 400 meters
2(3х + 8) = 2х - 16 + 4х
Answer: 0= -32
Step-by-step explanation:
brainliest me
Please help!
Find the difference quotient (f(x + h) - f(x))/h where h ne0 , for the function below . f(x) = 2x ^ 2 - 9 Simplify your answer as much as possible .
The derivative of [tex]f(x) = 2\cdot x^{2}-9[/tex] is [tex]f'(x) = 4\cdot x[/tex].
In this exercise we must apply the definition of derivative, which is described below:
[tex]f'(x) = \lim_{x \to 0} a_n \frac{f(x+h)-f(x)}{h}[/tex] (1)
If we know that [tex]f(x) = 2\cdot x^{2}-9[/tex], then the derivative of the expression is:
[tex]f'(x) = \lim_{h \to 0} \frac{2\cdot (x+h)^{2}-9-2\cdot x^{2}+9}{h}[/tex]
[tex]f'(x) = 2\cdot \lim_{h \to 0} \frac{x^{2}+2\cdot h\cdot x + h^{2}-2\cdot x^{2}}{h}[/tex]
[tex]f'(x) = 2\cdot \lim_{h \to 0} 2\cdot x + h[/tex]
[tex]f'(x) = 4\cdot x[/tex]
The derivative of [tex]f(x) = 2\cdot x^{2}-9[/tex] is [tex]f'(x) = 4\cdot x[/tex].
We kindly invite to check this question on derivatives: https://brainly.com/question/23847661
Find the circumference of the circle in terms of .
58 in.
a.1161 in.
b. 587 in.
c.232 in.
d. 33647 in.
Answer:
116π
Step-by-step explanation:
Circumference = 2πr
Circumference = 2(58)π
Circumference = 116π
-Chetan K
100 if u get this right ty have a nice day!
Answer:
9
Step-by-step explanation:
2+4 over 2
x 3
= 9
How many 3/4s are in 2? Draw a tape diagram
Answer:
8/3, or 2 if you want a whole number
Step-by-step explanation:
Well, the simple answer is 2/(3/4). This is nothing but 2*4/3, which is just 8/3. (I used the theorem that states that dividing is the same as multiplying by the reciprocal)
PLEASE HELP ME!!! philip would be able to buy 15 apples if he had $2.10 more money than he has now. if he buys 12 apples, how would have $3.30 left of the money he has now. how much does one apple cost?
One apple cost $1.8 while the money that Philip has is $24.90
Let x represent the cost of each apple and y represent the money he has presently.
He can buy 15 apples if he had $2.10 more money than he has now, hence:
15x = y + 2.1
15x - y = 2.1 (1)
Also, if he buys 12 apples, how would have $3.30 left of the money he has now. Hence:
12x + 3.3 = y
12x - y = -3.3 (2)
Solving equations 1 and 2 gives:
x = 1.8, y = 24.9
Hence one apple cost $1.8 while the money that Philip has is $24.90
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the quotient of y and 8 is greater than 10
Answer:
Well the ineqaulity here would be
y/8 > 10
Or in simpler terms
y ÷ 8 > 10
If you were to solve
y > 80
Help me pleasee asap !!
Answer:
F = 110°
I'm not sure, but since no one answered, here it goes...
Step-by-step explanation:
∵ FD = FE (Given in Diagram)
∴ ΔDFE is isosceles , ∴m∠E = m∠D
1 ) 3x + 14 = 5x
14 = 5x - 3x
14 = 2x
14 / 2 = x
7 = x
m∠E = 3*7 + 14 = 35°
m∠D = 5*7 = 35°
m∠F = 180 - (35+35)
m∠F = 110°
pls help i was to turn this by tomorrow
Answer:
a d
Step-by-step explanation:
A square rug covers 79 square feet of floor. What is the approximate length of one side of the rug? (approximate to the nearest hundredth foot. ) 8. 86 feet 8. 87 feet 8. 88 feet 8. 89 feet.
Answer:
8.89 feet
Step-by-step explanation:
[tex]\sqrt{79}[/tex] = 8.888, rounded to nearest hundredth would be 8.89
Two people answer = one brainliest for best answer 100pts
Use the following figure to answer the questions. Isosceles trapezoids ABCD and WXYZ are similar to each other.
For similar isosceles trapezoids ABCD and WXYZ, determine which of the following proportions are equivalent to each other. Select all situations that apply.
Thank you
Answer:
The first, third, and fourth answers are correct!
Jane lives on a straight road that goes east and west. She starts from a point 6.3 miles west of her home and drives a certain distance to the store. The store is more than 4 1/2 miles east of her home.
Let d represent the distance Jane drove. Which inequality represents this situation?
−6.3+d≥−4 1/2
−6.3+d>4 1/2
−6.3+d>−4 1/2
−6.3+d≥4 1/2
The inequality that represents the situation is as follows (where d
represents the distance Jane drove):
−6.3 + d > 4 1/2
She lives on a straight road that goes east and west.
d = distance Jane drove.
She started from a point 6.3 miles west of her home and drives a certain distance to the store. Therefore,
She drives
-6.3 + dThe store is more than 4 1/2 miles east of her home. Therefore,
- 6.3 + d > 4 1/2read more: https://brainly.com/question/25658107?referrer=searchResults
Answer:
Hope this helps!
What expression is equivalent to tje alegbraic expression
2n-n
Possible Answers
n+2
2n+2
n²
n
3n
Answer:
n
Step-by-step explanation:
2n - n ← factor out n from each term
= n(2 - 1)
= n × 1
= n
The table below shows the incomplete values as y varies directly as
x. Calculate the missing values.
y =10 20_
x =5_ 2
Answer:
y=30
x=3
Step-by-step explanation:
~may it help you~
please help asap…………
Is -5/2 greater than 3?
Answer:
No -5/2 is not greater than three.
Step-by-step explanation:
You could solve this without doing any math. You know that a negative divided by a positive is still a negative and that negative numbers are never greater than positive numbers so therefore you got the answer. No, -5/2 is not greater than positive 3.
Answer:
No
Step-by-step explanation:
[tex]-\frac{5}{2}[/tex] is not greater than 3; it is less than 3. Positives are greater than negatives. To know if an integer is negative, you should see something like this: - in front of the number.
Positive integers don't have a plus sign in front of it because we already assume it is there.
Need help with this one too plzzz
Answer:
0.83
Step-by-step explanation:
volume = length*height*width
1500=L*30*60
1500=1800L
1500/1800 = 0.83
length = 0.83
How to figure out the absolute value.
Answer:
absolute value is the same number just positive and cha never be negative.
Will give brainliest!
Answer:
1.) 1 1/3
2.) 6/7
Step-by-step explanation:
1.) 16/12 = 4/3 = 1 1/3
2.) Add the numerators if the denominators are the same already
Answer:
1. 1 1/3
2. 6/7
3. 1 1/4
Step-by-step explanation:
For the first one, the question is to reduce 16/12. So we need to see how many 12's there are in 16 --> 1. Because 16 - ( 12 · 1 ) = 4. We can't fit another 16 in four! Therefore the answer is 1 4/12 because the remainder that we solved above is 4. It can be simplified to 1 1/3.
5/7 + 1/7 is 6/7 because the denominator of the fractions are the same all you have to do is add the numerators together and leave the denominator 7:
5 1 6
----- + ------ = -------
7 7 7
To reduce 25/20 all you have to do is see how many 25's are in 20. Which is 1. 25 - ( 20 · 1 ) = 5. But there is still 5 left over so it would be: 1 5/20. Which can be simplified as 1 1/4
HOPE THIS HELPS :)
Mark has 403 coins. He has 89 more than his sister. How many coins do they both have altogether
Which expression uses the associative property to make it easier to evaluate
6.)?
O A. (6)
O B. (6-3);
OC. 6(3)
OD D. 3(5.5)
9514 1404 393
Answer:
B
Step-by-step explanation:
The associative property just moves parentheses, without changing the values or order of the operands. The only expression for which that is true is ...
B. (6·1/3)·7/5
ANYONE CAN HELP ME ?? :)
Answer:
12[tex]\frac{2}{3}[/tex] cm
Step-by-step explanation:
Have a nice day
The arithmetic sequence 1, 3, 5, 7, 9,. . . Represents the set of odd natural numbers. What is the explicit rule for the sequence? ak = (k - 1).
The explicit rule for the sequence is Tn = 2n - 1
Given the sequence 1, 3, 5, 7, 9...
The explicit formula for the nth term is expressed as:
[tex]T_n=a+(n-1)d[/tex]
a is the first term = 1
d is the common difference = 3 - 1 = 5 - 3 = 2
n is the number of terms
Substitute the given parameters into the formula to have;
[tex]T_n = 1+(n-1)(2)\\T_n=1+2n-2\\T_n=2n-1[/tex]
Hence the explicit rule for the sequence is Tn = 2n - 1
Learn more on AP here: https://brainly.com/question/24072079
Answer:
1st: 1+(k-1)2
2nd: 399
3rd: C
4th: 40,000
100 points if u get this right ty bye now!
Answer:
4 mi²
Step-by-step explanation:
Area of Square: Length x Length
=> Area of Square: 2 x 2
=> Area of Square: 4 mi²
Therefore, the area of the square is 4 mi².
Hoped this helped
Answer:
4 mi²
Step-by-step explanation:
Area of Square: Length x Length
=> Area of Square: 2 x 2
=> Area of Square: 4 mi²
Therefore, the area of the square is 4 mi².
Please help!!!!! (worth 45 points)
Answer:
5 + (-5) and 8 + (-8)
Step-by-step explanation:
Sum of zero means when you add them you get 0
so the others are wrong
-5 + (-5) = -10 because you have -5 and you add another -5
-12 + (-12) = -24 you start with -12 and you add another -12
Think of positive and negative numbers like floors in a building. Positive numbers are the stories and the negative numbers are the basement and sub-basement, zero is the ground level. So for 5 + (-5) you go up 5 floors, then you go down 5 floors. you end up on the ground level, 0.
The work of a student to solve the equation 4(2x − 4) = 8 + 2x + 8 is shown below:
Step 1: 4(2x − 4) = 8 + 2x + 8
Step 2: 6x − 8 = 16 + 2x
Step 3: 6x − 2x = 16 + 8
Step 4: 4x = 24
Step 5: x = 6
In which step did the student first make an error and what is the correct step?
A). Step 2; 8x − 4 = 2(6 + x + 6)
B). Step 2; 8x − 16 = 16 + 2x
C). Step 3; 6x − 2x = 16 − 8
D). Step 3; 6x + 2x = 16 + 8
Answer:
B
Step-by-step explanation:
He added 4 to 2 instead of multiplying.