Answer:
42 feet of string
Step-by-step explanation:
First, draw a diagram of the string, the height and the angle.
the length of the string is equal to the hypotenuse of the triangle
let length of the string=x
sin(θ)=opp/hyp
sin(72°)=40ft/x
x=40ft/sin(72°)
x=42.05848897ft≈42ft
The distance from Earth to the sun is 1.5*10^8 miles. The distance from Neptune to the sun is 5.196*10^9. How many times further is it from Neptune to the sun
Answer: Neptune is 34.64 times farther than Earth from the sun.
Step-by-step explanation:
Given: Distance from Earth to the sun is [tex]1.5\times10^8[/tex] miles.
Distance from Earth to the sun is [tex]5.196\times10^9[/tex] miles.
Number of times farther is it from Neptune to the sun= [tex]\dfrac{\text{distance from Neptune to the sun}}{\text{distance from Earth to the sun}}[/tex]
[tex]=\dfrac{5.196\times10^9}{1.5\times10^8}\\\\=\dfrac{5.196}{1.5}\times10^{9-8}\\\\= 3.464\times10=34.64[/tex]
Hence, Neptune is 34.64 times farther than Earth from the sun.
The comparison of the distances between Earth and Sun, and Neptune and Sun is needed.
Neptune is [tex]34.64[/tex] times the distance between Earth and Sun.
Ratios[tex]d_{es}[/tex] = Distance between Earth and Sun = [tex]1.5\times 10^8\ \text{miles}[/tex]
[tex]d_{ns}[/tex] = Distance between Neptune and Sun = [tex]5.196\times 10^{9}\ \text{miles}[/tex]
Dividing the given distances
[tex]\dfrac{d_{ns}}{d_{es}}=\dfrac{5.196\times 10^{9}}{1.5\times 10^8}\\\Rightarrow d_{ns}=34.64d_{es}[/tex]
Learn more about ratios:
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Hurry please! Thank you I really appreciate it :)
Answer:
5 meters
Step-by-step explanation:
Mr. Garza has a picture that measures 4 by 12 inches. It must be reduced so that the longest side measures 4 inches to fit in the school newspaper. Find the length of the shorter side of the picture once it has been reduced.
A. 2 inches
B. 1 1/2
C. 1 1/3
D. 1 inch
Answer: The length of the shorter side is [tex]1\frac{1}{3}[/tex] inches (option C).
Step-by-step explanation:
The ratio of the original picture is [tex]\frac{4}{12}[/tex].The ratio of the new picture is [tex]\frac{x}{4}[/tex].In order to get the longest side to 4, we divided by 3. As a result, we must divide 4 (the original shorter side) by 3 to find the new length.[tex]\frac{4}{3}[/tex] = [tex]1\frac{1}{3}[/tex]The force, F newtons, exerted by a magnet on a metal object is inversely
proportional to the square of the distance d cm.
When d = 2 cm, F= 50 N.
Express F in terms of d.
Answer:
F = 200/d^2
Step-by-step explanation:
F is inversely proportional to d^2
The equation is;
F = k/d^2
K = F•d^2
so to get k, we substitute the given values
K = 50 * 2^2
K = 50 * 4
K = 200
So we have that;
F * d^2 = 200
F = 200/d^2
Draw an area model to solve 774 divided by 3
Jonah bicycled 12 miles in 4 hours. What is the unit rate?
3 miles per hour
8 miles per hour
16 miles per hour
48 miles per hour
Answer:
3 mph
Step-by-step explanation:
12 divided by 4 is 3
Answer:
The answer is A
Step-by-step explanation:
At the age of 14, Lois was 5 foot 3 inches tall. After hitting a growth spurt, at the age of 16, Lois was 5 foot 11 inches tall. What is the percent of increase in Lois' height over that time?
Answer:
I don't drive r8s I don't like those I drive a Daytona and I tinted the windows
Answer:
c
Step-by-step explanation:
you deposit $2000 in a savings account earning 5% simple interest. How long will it take for the balance of the account to be $3800? (PLEASE EXPLAIN)
Answer:
1.8 years
Step-by-step explanation:
Step one:
given data
P= $2000
Rate= 5%
Final amount A= $3800
Step two
A= P(1+rt)
substitute
3800=2000(1+0.05*t)
solve for t
3800=2000(1.05t)
3800=2100t
divide both sides by 2100
t= 3800/2100
t=1.8 years
it will take 1.8 years
Use the drawing tool(s) to form the correct answer on the provided graph.
The graph of f(x) = x is shown on the coordinate plane. Function g is a transformation off as shown below.
g(x) = f(x - 5)
Graph function g on the same coordinate plane.
Answer:
It is clear from the graph the the function g(x) = f(x-5) can be determined when we shift f(x) = x '5' units to the right.
The graph of both functions is attached below.
Step-by-step explanation:
Please check the attached graph.
From the graph:
The red graph represents the parent function f(x) = xThe blue graph represents the transformed function f(x) = (x-5)We know that Horizontal changes affect the input or domain of a function.
It is clear from the graph the the function g(x) = f(x-5) can be determined when we shift f(x) = x '5' units to the right.
The graph of both functions is attached below.
Answer:
A transformation of the form f(x - c) represents a horizontal translation to the right or left. If c is positive, the function will shift to the right and if c is negative, the function will shift to the left.
To find the function g(x) = f(x - 5), substitute in (x - 5) for x.
Step-by-step explanation:
I need help, I don't quite understand
Answer:
1
Step-by-step explanation:
so we have:
f+2>5 2 goes the other side, so
f>5-2
f>3
f+4<9 4 goes to the other side, so
f<9-4
f<5
we have two inequality
f>3
f<5
f belongs (3,5), we have only one value for this, it is 4
Zachary runs steadily at 10km/hr. HIs distance can be modelled by the equation y=10x, where y gives his distance (km) in relation to time (hrs). The kidnapper runs at 5km/hr (since he's carrying a princess) and is already 30km away when Zachary begins his pursuit. Give the equation for the kidnapper's distance (y) in relation to time (x) in slope-intercept form (y=mx+b) and then, standard form( ax + by+ c=0)
Answer:
tuff
Step-by-step explanation:
find the equation of the the line -1/4 that passed through the point (12,-4).
Marty had 10 pens. Four of these pens were blue. What is one way to show the ratio of blue pens to the total number of pens Marty had?
Answer: 2:5 or 2/5
Step-by-step explanation:
Since he has 10 pens, that will be the denominator and the # of blue pens will be the numerator. This gives you 4/10 which you simplify to get 2/5.
Construct a quadrilateral ABCD, where AB = 7 cm, AD = 6.4 cm, angle A = 75°, angle=
100° and angle D = 110°. What is the measure of angle angle
C?
Answer:
75°
Step-by-step explanation:
please help with 11 & 12
x=12
y=8
z=3
Answer:
11. 24
12. 253
hope it's helpful ❤❤❤❤
THANK YOU
Tabitha has a DVD rack which can hold 42 DVDS. She can fit 8 more DVDS on the rack before the rack is full. How many DVDS are on the rack?
Answer:
34
Step-by-step explanation:
42 dvds total but there is room for 8 more so
42 total size - 8 more can fit = 34 on the rack
i think im right unless i missunderstood the question
Answer:
34
MARK BRAINLIEST
What is the domain of the function shown on the graph?
Answer:
The domain of the graph is:
-∞ < x < ∞
Hence, option B is correct.
Step-by-step explanation:
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
Domain refers to all the possible sets of input values on the x-axis.From the given graph, we can easily observe that the graph extends horizontally to the left without bound, as well as to the right without bound.
Therefore, the domain of the graph is:
-∞ < x < ∞
Hence, option B is correct.
What is the least common denominator of the rational expressions below?
Answer:
Answer:
x(x-3)(x+4)
Step-by-step explanation:
-4(-4d-5)
answer pls kkkkk
Answer:
36
Step-by-step explanation:
-4(-4d-5)
-4x-4=16 (-x-=+)
-4x-5=20
16+20=36
hope this helps
Answer:
16d+20
Step-by-step explanation:
Solve for h in the following equation: — 6 (h + 2) = 72
10
-10
76
-14
Answer:
-6h -12 = 72
-6h = 72 + 12
-6h = 84
h = -14
my brother needs help with this
Answer:
You cant do 4x+24
7 (5)= 35
7 (2) 14
35+14-49=0
Step-by-step explanation:
Can some one solve 4 for me plz I’ll give a crown
Answer: I'm pretty sure it's the 3rd one
Step-by-step explanation:
Please help ASAP i really need help
Answer:
X= 0
X= -4
x1= -4, x2=0
Step-by-step explanation:
Answer:
Step-by-step explanation:
Solve for x please!!!!!nowwww
Answer:
x = 37
Step-by-step explanation: Every angle in a triangle adds up to 180, so we can set up an equation where (x + 48) + (x + 58) = 180. From here, we can combine like terms to get 2x + 106 = 180. 180-106 is 74. 74 divided by 2 is 37. So, x = 37.
Number 1 helppppppppppppppppp
Answer:
infinitely many solutions
Tanya bought a new television for $1,200. The deal was attractive to her because she was required to make interest payments on the $1,200 purchase for the first year. After one year of interest-only payments, how much did Tanya owe on the television?
Answer:
1,200
Step-by-step explanation:
Use inverse operations to solve the equation.
−4x = 52
Answer:
x=-13
Step-by-step explanation:
divide 52 by -4 to get x=-13
Answer:
x = -13
Step-by-step explanation:
−4x = 52
Divide both sides by -4 to isolate the variable
-4x/-4 = 52/-4
x = - 13
Check:
Substitution
-4 (-13) = 52
52 = 52
* 2 negatives make a positive
Hope this helped!
What is the product of (y + 3) and (7y – 1)?
Answer: =7y^2+20y−3
Step-by-step explanation:
The distance between Beth's
house and her friend Tristan's
house is 8,000 cm. How many
meters is this?
Answer: 80 meters
Step-by-step explanation:
There are 100cm in one meter.
Do 8,000/100 and you will get 80.
There are 80 meters.
(give brainliest)
The amount sabrina earns varies directly with the number boxes of cookies she sells.How much does Sabrina earn for eah box of cookies that she sells?
The question is incomplete :
The amount sabrina earns varies directly with the number boxes of cookies she sells.How much does Sabrina earn for eah box of cookies that she sells?
Earning (y) : ____ 5 ____ 10 ____ 15 ____ 20
Boxes sold (x) :__ 2 ____ 4 _____ 6 ____ 8
Answer:
$2.5
Step-by-step explanation:
Given:
Earning varies directly as the number of boxes of cookies sold
y α x
y = kx - - - (1)
k = constant of proportionality (earning per box of cookies sold)
Taking any 2 points :
y = 10 ; x = 4
10 = k4
10 = 4k
Divide both sides by 4
10/4 = 4k/4
2.5 = k
Hence, the amount earned per box of cookies sold is $2.5