Answers
Answer:
5
Step-by-step explanation:
3/12=x/20
cross multiply
12x=3(20)
12x=60
x=60/12
x=5
Related Questions
You see a hiker sitting on a bench taking a water break at the top of a hill at a 40° angle of elevation. Your eye level is 5 feet off the ground and you are standing 100 feet from the base of the hillAt what altitude is the hiker sitting on the bench?
Answers
Answer:
89
Step-by-step explanation:
Draw a right triangle, put the angle of elevation as 40 degrees and the feet for the base of your triangle (standing 100 feet from the base of the hill) as 100ft. According to SOH CAH TOA, we will be using tan, where you will get:
tan(40)=x/100
x=100tan(40)=83.9
Add 5 feet, which was your eyes off the ground, and it will be 83.9+5=89
Final Answer: 89
The altitude of the hiker sitting on the bench of the hill is 89 feet.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
The angle of elevation = 40°
Distance from base of the hill = 100 feet
Distance from the ground to the eye level = 5 feet
The diagram below shows the right angled triangle.
Let the altitude from the eye sight to the bench be x.
Total altitude = x + 5
The altitude of the hiker can be found by using trigonometric ratio,
[tex]tan\theta= \frac{opposite}{adjacent}[/tex]
⇒ [tex]tan 40=\frac{x}{100}[/tex]
⇒ [tex]0.8390=\frac{x}{100}[/tex]
⇒ [tex]x=83.90[/tex]
Total height = [tex]x+5[/tex]
⇒ [tex]83.90+5[/tex]
⇒ [tex]88.90[/tex] ≈ [tex]89[/tex]
Hence we can conclude that the altitude of the hiker sitting on the bench of the hill is 89 feet.
Learn more about trigonometry here
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A deck of cards contains 26 red and 26 black cards. The red cards are divided into 13 hearts and 13 diamonds. The black cards are divided into 13 spades and 13 clubs, and the cards are numbered 2 - 10, Jack, Queen, King, or Ace. 1) When drawing one card from a deck of 52 cards, the probability of 1 could represent which event?
A) drawing the number 1
B) drawing a heart or diamond
C) drawing a number 2−10
D) drawing either a red or black card
Answers
Answer:
b
Step-by-step explanation:
becouase its b
7. The complement of
8. The supplement of
PLEASE HELP ME ILL GIVE YOU BRAINLEAST ANSWER!!
Answers
Answer:
love
salvation
Step-by-step explanation:
Answer:
Hey!
Step-by-step explanation:
If A and B are sets, then the relative complement of A in B, also termed the set difference of B and A, is the set of elements in B but not in A.
Two Angles are Supplementary when they add up to 180 degrees. These two angles (140° and 40°) are Supplementary Angles, because they add up to 180°: Notice that together they make a straight angle.
Find the area of the larger circle.
Answers
Answer:
65.94
Step-by-step explanation:
2 + 3 = 5
r = 5
Small circle:
r = 2
A = πr²
A=(3.14)2²
A = 12.56
Large circle:
r = 5
A = πr²
A=(3.14)5²
A = 78.5
78.5 - 12.56 = 65.94
The normal distribution is:
A. a distribution that can be modeled by a bell-shaped curve, with the
mean, median, and mode all the same value and the proportion for
any range of values defined in a table of normal curve areas (or
probabilities)
B. a bell-shaped density curve defined by the population mean (4),
which determines the position of the center of the curve, and the
population standard deviation (c), which determines the height
and spread of the curve.
C. any distribution that can be modeled by a density curve.
D. a set of values that lie directly on a plot of a bell-shaped density
curve, which is defined by the population mean (x) and the
population standard deviation ().
E. an imaginary histogram in which the width of each class is zero,
and the number of population members is infinite.
Answers
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: x=55
Step-by-step explanation:
90-35=55
You get the 90 from the right angle.
16V3
67513
B)
4
A) 25V3
C) 128V3
E) 64V3
D) 192V3
Answers
Felix and Jose go to lunch at Buffalo Wild Wings. Their meals total $28.00. Tax is 6%.
a. What is the total cost of food and tip?
b. Felix and Jose want to leave a 20% tip based on the cost before tax. How much should they leave?
Help pls
Answers
Answer:
A, Total cost with tax; $29.68
B, Total cost of tip; $5.60
Step-by-step explanation:
28 x .2, accounting for the tip, is 5.6, aka $5.60. 28 x .06, accounting for the tax, is 1.68. Adding the original amount, the tax, and the tip, we are left with $35.28 in total after they have paid both the tax and the tip.
Hope this helps!
There are 1.5 liters of milk in the pitcher. There are 180 milliliters of milk in the glass. In milliliters, how much more milk is in the pitcher than in the glass?
Answers
Answer:Welcome to Brainly
Step-by-step explanation:
Hope this was helpful.
Answer:
1.5 liters × 1000
= 1500 milliliters
Rewrite 10(a - b + 4) using the distributive property.
Answers
Answer:
10
Pleaseeeeeeeeee help
Answers
Answer:
80 in2
Step-by-step explanation:
10x8=80
A= 80 in2
Answer:
For base area? Its 80 in².
x-4y=4
a. y=1/4x-5
b. y=x-5
c=1/4x+1
d. y=x+5
Answers
Answer:
it's a letter C. heheehehehe
write 52 As a product of prime factors
Answers
Choose the symbol that makes a true statement: -15____ -16
=
>
≤
Answers
C(t)=26(0.87)^(t) answer
Answers
please give brainliest
C(T) = 26(0.87)^(T)
open the pdf, it gives the answer
you're welcome! ^-^
Enter an equation in the form y=mx+b that represents the function described by the graph
Answers
Answer:
First off the picture is upside down, second of why cant people take a straight picture, ps sorry my adhd, y=m4+8
Step-by-step explanation:
Show that 2/4-x = 10/4+x
is equivalent to 12x = 32 for all values of x not equal to 4 or -4
Answers
Answer:
See proof below
Step-by-step explanation:
Given the expression 2/4-x = 10/4+x
Cross multiply
10(4-x) = 2(4+x)
10(4) - 10x = 2(4)+ 2x
40 - 10x = 8 + 2x
-10x - 2x = 8 - 40
-12x = -32
Multiply both sides by -1
-1(-12x) = -1(-32)
12x = 32
This shows the required expression
Four customers at a restaurant had the same bill. Each customers gave the server a tip that was a different percentage of the amount due. Which customers tipped 15% or more? Click on the bills you want to select.
Answers
Answer:
.....................
Step-by-step explanation:
chris is going on holiday to the united states of america the exchange rate is £1=$1.55 chris has £720 spending money how much does he have in dollars
with explation please
Answers
Answer:
1,116 USD
Step-by-step explanation:
1=1.55 that is a 55% increase. 55% of 720 is 396. 720+396=1,116 USD
Find the area of sector with a radius of 4 and a central angle of 30 degrees.
Answers
Answer:
Step-by-step explanation:
[angle of sector]/360 x π x radius ² [formula to find area of a sector]
30/360 x π x 4²
Type into a calculator
4.18879
Which graph represents the inequality x greater-than 6?
A number line going from 1 to 11. A closed circle is at 6. Everything to the left of the line is shaded.
A number line going from 1 to 11. An open circle is at 6. Everything to the left of the line is shaded.
A number line going from 1 to 11. A closed circle is at 6. Everything to the right of the line is shaded.
A number line going from 1 to 11. An open circle is at 6. Everything to the right of the line is shaded.
Answers
Answer:
C
Step-by-step explanation:
Because it isn't a negative number so it should have a closed circle with a line going to 11 and on. Hoped this helped. ;)
Answer:
C
Step-by-step explanation:
Trang and Anh are dancing in the Dance-a-Thon to raise awareness and money for the Children’s Hospital. Trang donated $22 and earns $212 for every consecutive hour she dances. Anh donated $25 and earns $198 for every consecutive hour she dances. They both danced for the same amount of time and together raised $2,609.50. How much more money did Trang raise than Anh? Justify your answer.
Answers
Answer:
1304.75
Step-by-step explanation:
y
∝
1
√
x
If
y
=
7
when
x
=
64
find,
x
when
y
=
8
Answers
Answer:
x = 49
Step-by-step explanation:
This is an inverse relationship and it implies that, an increase in the value of one variable results in a subsequent decrease in the value of another variable.
Given the mathematical expression and data;
y = 1/√x
y = 7 and x = 64
First of all, we would find the constant of proportionality, k;
y = k/√x
7 = k/√64
7 = k/8
k = 7 * 8
Constant, k = 56
Now, to find the value of x when y = 8
y = k/√x
Substituting the values, we have;
8 = 56/√x
Cross-multiplying, we have;
8 * √x = 56
√x = 56/8
√x = 7
Taking the square of both sides, we have;
(√x)² = 7²
x = 49
Pls helpppppppp !! ಠ_ಠ
Answers
Answer:
226.80
Step-by-step explanation:
Answer:
$226.8
Step-by-step explanation:
you take 210 and times it by 8%
210 x 8%(.08)= 16.8
then add that 16.8 back to the 210
210+16.8= 226.8
I'll mark brainliest!
Answers
Answer:
D
Step-by-step explanation:
there are 4 squares, so that is the bottom number. 3 squares are colored in! this is the top number. so it is 3/4 which is D.
Clyde bought a belt for $25 at a tax rate of 5%. He also bought a shirt $14 at a tax rate at 5%. What is the sum, in dollars, that he will pay including tax?
Answers
Answer:
40.95
Step-by-step explanation:
First, calculate the tax rate for the belt.
$25 is 1/4 of 100. 5% of 100 is 5, so the tax for 25 is 1/4 of 5, or 1.25.
Next, calculate the tax for the shirt. 14*0.05=0.7
Add everything together.
14+25+0.7+1.25=40.95
Expand the following expression 8(3x+10y)
Select one:
104xy
24x+10y
8xy(13)
24x+80y
Answers
Answer:
8(3x+10y)
the answer is 24x+80y
Good luck
Apply the rule (x,-y) to the point (-2,3)
Answers
Answer:
(2, -3)
Step-by-step explanation:
Answer:(-2,-3)
Step-by-step explanation: -2 is x and -y is 3.
Graph two lines whose solution is (3,5).
Line
Equation
#1
I
|
#2
Check My Answer
8
Graph two lines whose solution is (1,4)
Answers
Answer:
la respuesta que buscas es bastante simple pero no lo sé
Step-by-step explanation:
The next model of a sports car will cost 11.4% less than the current model. The current model costs $44,000. How much will the price decrease in dollars? What
will be the price of the next model?
Answers
Answer:
44000 - (44000 : 100) x 11.4
= 38984
The price will be $38984.
44000 - 38984 = 5016
The price will decrease $5016.
I hope this is useful and you understood. :)