Step-by-step explanation:
2 objects and their shadows create 2 similar right-angled triangles.
that means all angles are the same, and the side lengths of one triangle correlate to the corresponding side lengths of the other triangle via the same factor.
so,
122 × f = 2
f = 2/122 = 1/61
therefore, Ryan is
305 × f = 305 × 1/61 = 5 ft
tall.
If the Statue of Liberty is 305 feet tall, Ryan is 5 feet tall.
What is proportion?A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.
Given that,
The length of shadow of Statue of Liberty = 122 foot.
The length of shadow of Ryan = 2 foot.
Also, the height of Statue of Liberty = 305 feet.
Let the height of Ryan = x
To find the value of x,
Use ratio and proportion method,
122 / 305 = 2 / x
x = 2 x 305 / 122
x = 305 / 61
x = 5
The height of Ryan is 5 feet.
To know more about Proportion on:
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Find the value of x
3x = 9²
[tex]\huge\boxed{Hi\:there!}[/tex]
[tex]\huge\sf{3x=9^2}[/tex]
[tex]\huge\sf{3x=81}[/tex]
[tex]\huge\sf{Divide\:both\:sides\:by\:3\:to\:isolate\:x:}[/tex]
[tex]\huge\sf{x=27}[/tex]
[tex]\huge\boxed{Hence,\:x=27.}[/tex]
[tex]\huge\sf\underline{Hope\:it\:helps}[/tex]
[tex]\boxed{CheerfulGirlie\:here\:to\:help}[/tex]
Find the value of x
3x = 9²
Answer:-x = 27
Explanation:-=> 3x = 9²
=> 3x = 81 [9² = 9×9 = 81]
=> x = 81/3
=> x = 27
See the picture first, thank you.
QUESTIONS::
1. Does each graph represent a linear function? Why?
2. What is the domain of the first graph? second graph?
3. What is the range of the first graph? second graph?
Answer:
1. yes, both lines are straight
2. domain: (-∞ ∞)
3. range: (-∞ ∞)
Select the point - slope form of the line
Select one:
a.
y − y1 = m ( x − x1 )
b.
ax + by + c = 0
c.
x / a + y / b = 1
d.
y = mx + b
Answer:
y − y1 = m ( x − x1 )
Step-by-step explanation:
Point slope form would include a slope 'm' and a point (x1, y1).
The first option is the general formula for point-slope form.
B is standard form for a straight line (it can also be Ax + By = C)
C is intercept form.
D is slope-intercept form.
Hope this helps.
To make a sports drink, Tommy puts 2 liters of water in a pitcher along with 4 ounces of sports drink additive. How much liquid is now in the pitcher, in ounces?
1 liters = 33.81 ounces
Answer:
71.62
Step-by-step explanation:
2 liters = 2(33.81) ounces or 67.62 oz
4 more ounces were added
new total is 71.62 oz
what is the probability
Answer:
1/4
Step-by-step explanation:
the probability on getting blue on spinner is 1/2
1/2 x 1/2 =1/4
Determine if 0.929229222922229222229... is rational or irrational and give a
reason for your answer.
Answer:
It is irrational.
Hope you could get an idea from here.
Doubt clarification - use comment section.
Each time Bobby rides the JUTC bus, money will be deducted from the value of his card. He rode the bus 5 times and his card was charged $100. What integer best represents the the amount by which the balance of the card changed each time it was used?
Possible Answers
A. -$500
B. $20
C. -$20
D. $500
Answer:
b
Step-by-step explanation:
100/5= 20
he was charhed 20
This is a 45-45-90 triangle.
What is the measure of x?
Х
14
Х
x = [?]V
Answer:
x = 14[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Since the triangle is 45- 45- 90 then it is isosceles with the 2 legs being congruent, both 14
Using Pythagoras' identity in the right triangle
x² = 14² + 14² = 196 + 196 = 392 ( take square root of both sides )
x = [tex]\sqrt{392}[/tex] = [tex]\sqrt{196(2)}[/tex] = [tex]\sqrt{196}[/tex] × [tex]\sqrt{2}[/tex] = 14[tex]\sqrt{2}[/tex]
Linda took her son to the batting cages. For the first 5 minutes she paid $10 and for
each additional minute she paid $.50. If Linda, paid $22 for her son to go to the batting
cages, how much time were they there for?
Answer:
29 minutes
Step-by-step explanation:
can someone help me for this?
Answer:
500000N=2m
x. =6m
cross multiply, it'll be
6×50000÷2
=150,000N
write the equation of a line that passes through the points (-7,-4) and (-5,-6)
Answer:
y=-x-11
Step-by-step explanation:
PLEASE PLEASE HELP IM TIMED!! Just look at the picture
1. The teacher assigns homework after 7/10
of the lessons
A) unlikely
B) likely
C) certain
D) equally likely
Answer:
B) Likely
Step-by-step explanation:
Unlikely = < 50%
Likely = > 50%
Certain = 100%
Equally likely = 50%
Combine the like terms to create an equivalent expression:
-k+3k
Answer:2k
Step-by-step explanation:
-k+3k
-1k+3k
(-1+3)k
2k
Answer:
2k
Step-by-step explanation:
-k is the same as -1k so you can just solve it like that. Also, when adding terms with variables you just add the number in front (if they have the same variable). So -1k + 3k = 2k. Pretty much the same as -1 + 3, you just add a variable..
does 12 11 and 7 make a right triangle
Answer: no
Step-by-step explanation: hope it helps
three teachers have purchased candy for a school carnival. each bag of candy weigh is 1 1/4 pounds
Answer:
3 * 1.25 = 3.75
Step-by-step explanation:
3.75 also equals 3 3/4
23.
Find the next three terms of the arithmetic sequence. 19, 24, 29, 34, ...
Answer:
39, 44, 48
Step-by-step explanation:
Add 5 to the following terms.
Please mark me as the Brainliest, Thank you!
Helppppppppppppppppp
[tex]\huge \tt༆ Answer ༄[/tex]
The respective terms used for the lines are ~
a.) Line a = Tangent b.) Line b = Radius c.) Line c = Diameter d.) Line d = SecantStep-by-step explanation:
a is tangent
b radius
c diameter
d chord
X - 5V + 17 = 0 2x+ V + 1 = 0
Answer:
x= -[tex]\frac{10}{3}[/tex], v = [tex]\frac{7}{3}[/tex]
Step-by-step explanation:
x= - 10/3, v = 7/3
jus so u want to copy so u don't have to type ur self
Find an ordered pair (x, y) that is a solution to the equation 3x-y=4
Answer:
(0,-4)
Step-by-step explanation:
3(0) - (-4) = 4
0 + 4 = 4
if a customer spent $60, how many people did they buy food and beverages for?
how do i solve this
Answer:
m <E = 134
Step-by-step explanation:
Triangle DEF looks like an isosceles triangle to the base angles are the same measure.
6x+11 = 10x+3
Subtract 11 from both sides
6x = 10x-8
Subtract 10x from both sides
-4x = -8
Divide -4 from both sides
x = 2
Substitute 2 into both equations to make sure it works
6 (2) + 11
12+11
23
10 (2) +3
20+3
23
Both angles equal 23 degrees.
Now subtract both angles from the total angle measure of 180.
180-23-23=134
Can you calculate problems involving percent? pls help i WILL make as brainlyst pls i dont wanna fail
Answer:
45 is 150% of 30.
Step-by-step explanation:
To find what percent of 30 is 45 first we must turn it into a fraction and simplify.
fraction form: 45/30
simplified fraction form: 3/2
now to find percent you have to put a number over one hundred.
3/2 = ?/100
Right now our denominator is 2. By what number can we multiply 2 to get to 100? The answer is 50.
Now that we have multiplied the denominator by 50, we also have to multiply the numerator (3) by fifty. 3 x 50 = 150
so now we put the new numerator and denominator together and get 150/100
The answer is 150%
In a litter of 7 kittens, each kitten weighs less than 3.5 ounces. Find and graph all the possible combined weights of the kittens.
Answer:
Step-by-step explanation:
24.5 just multiply hope that helpss
I have no idea how to do this. Please help.
Answer:
Area is 5 cm and perimeter is 12 cm
Step-by-step explanation:
Area: top left sqare:
1cm * 1cm = 1 cm
bottom rectangle:
1cm * 3 cm = 3 cm
top right square:
1cm * 1cm = 1 cm
Perimeter:
1 cm + 2 cm+ 3 cm+ 2 cm+ 1 cm + 1 cm + 1cm + 1cm = 12 cm
а 5. Protein Bar A has 15 grams of protein in
a 40 gram bar. Protein Bar B has 20 grams of protein in a 60 gram bar. Which bar has more protein per gram?
Simplify using combining like terms: 3a + 6 + 2a - 8
Answer:
a = 2
Step-by-step explanation:
Simplifying
3a + 6 = 2a + 8
Reorder the terms:
6 + 3a = 2a + 8
Reorder the terms:
6 + 3a = 8 + 2a
Solving
6 + 3a = 8 + 2a
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-2a' to each side of the equation.
6 + 3a + -2a = 8 + 2a + -2a
Combine like terms: 3a + -2a = 1a
6 + 1a = 8 + 2a + -2a
Combine like terms: 2a + -2a = 0
6 + 1a = 8 + 0
6 + 1a = 8
Add '-6' to each side of the equation.
6 + -6 + 1a = 8 + -6
Combine like terms: 6 + -6 = 0
0 + 1a = 8 + -6
1a = 8 + -6
Combine like terms: 8 + -6 = 2
1a = 2
Divide each side by '1'.
a = 2
Let f be a differentiable function. If h (x) = (2+ f (sin x))", which of the following gives a correct process for finding h' (x) ?
Answer:
[tex]\displaystyle h'(x) = \cos (x) f'(\sin x)[2 + f(\sin x)]'''[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Derivative Rule [Basic Power Rule]:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle h(x) = [2 + f(\sin x)]''[/tex]
Step 2: Differentiate
Derivative Rule [Chain Rule]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' [2 + f(\sin x)]'[/tex]Rewrite [Derivative Property - Addition/Subtraction]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' \bigg[(2)' + [f(\sin x)]' \bigg][/tex]Derivative Rule [Basic Power Rule]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' [f(\sin x)]'[/tex]Derivative Rule [Chain Rule]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' f'(\sin x)(\sin x)'[/tex]Trigonometric Differentiation: [tex]\displaystyle h'(x) = \cos (x) f'(\sin x)[2 + f(\sin x)]'''[/tex]From here, if you would like, you can take the 3rd derivative of the last piece.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
find an ordered pair that represents the vector from (-3.7, 2) to (-4, -5)
The area of a rhombus is 40 sq cm and one of its diagonals is 8 cm long. Find the length of the other diagonal.
Answer: The length of the other diagonal is 10 cm...
So the diagonal formula is - 1/2* (d1*d2) d1 is the first diagonal and d2 is the second diagonal.
So,
1/2 * (8*d2) = 40
8d2= 40*2
d2= 80/8
d2= 10