Answer:
15.62 feet
Step-by-step explanation:
If the flagpole is 10ft tall and the shadow is 12ft long, and you need to find the distance from the top of the flagpole to the far end of the shadow, to get your answer, you must use the pythagorean theorum.
[tex]a^{2} + b^{2} = c^{2}[/tex]
let height of flagpole = a
let length of shadow = b
let distance between the two = c
[tex]10^{2} + 12^{2} = c^{2} \\100 + 144 = c^{2}\\244 = c^{2}\\\sqrt{244} = \sqrt{c^{2}} \\\sqrt{244} = c\\15.62 = c[/tex]
What is the scale if: 50 km in the actual distance correspond to 4 cm on the map?
The scale is 1 cm: 12.5 km
To get this answer, you start off with the ratio 4 cm: 50 km which is given to us. It means that 4 cm corresponds to 50 km.
Divide both parts of the ratio by 4
4/4 = 1
50/4 = 12.5
The ratio 4 cm: 50 km simplifies to 1 cm: 12.5 km
1 cm on paper represents 12.5 km in real life.
The scale is 1cm on map represents 12.5 km in actual distance.
How to calculate the scale factor?Suppose the initial measurement of a figure was x units.
And let the figure is scaled and new measurement is of y units.
Since the scaling is done by multiplication of some constant, that constant is called scale factor. Let that constant be 's'.
Then we have:
[tex]s \times x = y\\s = \dfrac{y}{x}[/tex]
Thus, scale factor is the ratio of the new measurement to the old measurement.
The ratio 4 cm: 50 km which is given to us means that 4 cm corresponds to 50 km.
Divide both parts of the ratio by 4;
4/4 = 1
50/4 = 12.5
Thus, The ratio 4 cm: 50 km simplifies to 1 cm: 12.5 km
Therefore, 1 cm on paper represents 12.5 km in real life.
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Is this relation a function
Answer:
yes
Step-by-step explanation:
every value of the domain only has one corresponding value
What is the area of a triangle with a base of 120 m and a height of 90 m
Answer:
Hey there!
Area=1/2bh
Area=1/2(120)(90)
Area=60(90)
Area=5400
Let me know if this helps :)
Please help ill give u a ( b r i l l i a n t)
Answer:
1.
[tex] \frac{91}{2} [/tex]
2.
[tex] \frac{121}{4} [/tex]
3.
[tex] \frac{226}{3} [/tex]
Step-by-step explanation:
1.
[tex] \frac{4}{1} \times \frac{5}{1} \\ 4 \times 5 \\ 20[/tex]
2.
[tex] \frac{3}{4} \times \frac{7}{6} \\ 18 \times 28 \\ 504[/tex]
What is the slope of a line perpendicular to the line whose equation is
x+ 2y = –16. Fully reduce your answer.
Answer:
slope = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x + 2y = - 16 ( subtract x from both sides )
2y = - x - 16 ( divide all terms by 2 )
y = - [tex]\frac{1}{2}[/tex] x - 8 ← in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2
The graph will show the height of the red car as the time increases, Predict what this graph will look like before pressing start to run the Ferris wheel. Height (meters) Which statements about the graph are true? Check all that apply Each input generates an output value. As time increases, the height always increases. The input of height generates an output value of time. 80 40 After 60 seconds, the graph will display a second rotation, which looks the same. The graph shows the relationship of time to height.. 30 sec 60 sec Start Intro Done
Answer:1,4,5
Step-by-step explanation:
I just did it
A satellite's speed is
10,000 m/s. After 1
minute, it is 5,000 m/s.
What is the satellite's
acceleration?
Answer:
-83.33 [tex]m/s^2[/tex]
Step-by-step explanation:
Given that:
Initial speed of satellite = 10,000 m/s
Final speed of satellite = 5,000 m/s
Time taken = 1 minute
Let us convert it into seconds.
Time taken = 1 minute = 60 seconds
Let us have a look at the formula:
[tex]v=u+at[/tex]
where [tex]v[/tex] is the final speed
[tex]u[/tex] is the initial speed,
[tex]t[/tex] is the time taken and
[tex]a[/tex] is the acceleration
[tex]5000=10000+a\times 60\\\Rightarrow 60a = 5000-10000\\\Rightarrow 60a = -5000\\\Rightarrow a = -\dfrac{5000}{60}\\\Rightarrow \bold{a = -83.33\ m/s^2}[/tex]
Negative sign indicates that the satellite is in slowing down motion i.e. its speed is decreasing.
So, the answer is:
-83.33 [tex]m/s^2[/tex]
HELP 50 POINTS Solve the system of equations using either the linear combination method or the substitution method. SHOW ALL STEPS! I need help badly. 2x + 5y = 1 -3x + 4y = -13
Step-by-step explanation:
2x + 5y = 1 and -3x + 4y = -13
From equation 1, 2x = 1 - 5y, x = 0.5 - 2.5y.
Substitute into equation 2:
-3(0.5 - 2.5y) + 4y = -13
-1.5 + 7.5y + 4y = -13
11.5y = -11.5
y = -1.
We know that x = 0.5 - 2.5y = 0.5 - 2.5(-1) = 3
Hence x = 3, y = -1.
.Occurrences in the natural and human-made world that can be observed and cause one to wonder and ask questions are known as whact?
Answer:
scientific phenomena
Step-by-step explanation:
What is the distance between -7 and 21 on a number line?
Answer:
The distance is 28
The sum of two numbers is 97. The larger number is three less than four times the smaller number. Find the numbers.
Answer:
20 and 77
Step-by-step explanation:
4x-3+x=97
5x-3=97
5x=97+3
5x=100
x=20
Have a NICE day
The larger number is 77 and the smaller number is 20.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, The sum of two numbers is 97.
Assuming the numbers to be a and b.
∴ a + b = 97...(i)
Also given, The larger number is three less than four times the smaller number,
Assuming the larger number to be a, therefore a = 4b - 3...(ii)
Substituting the value of a in eqn(i) we get,
4b - 3 + b = 97.
5b = 100.
b = 20, hence a = 77.
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The table below shows the amount of money Sarah spends for a craft demonstration. Number of People Attending Cost 5 $15 8 $18 10 $20 15 $25 Sarah spends a total of $60. Based on the information in the table, how many people attended the craft demonstration? 20 30 50 70
Answer:
Nobody who paid $18 attended, because that can't be part of $60.
Step-by-step explanation:
4 at $15
10 at $20
15 at $25
=
29 people.
There are 30 people was attended the craft demonstration.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
We have been given that number of people attending at respective costs as 5 at $15, 8 at $18, 10 at $20, 15 at $25
Since Sarah spends a total of $60.
As per the condition,
So the number of people who attended the craft demonstration attending at respective costs would be 5 at $15, 10 at $20, and 15 at $25
⇒ 5 + 10 + 15 = 30
Thus, the required number of people would be 30 because $18 can't be included in $60, anyone who paid that amount attended.
Therefore, there are 30 people was attended the craft demonstration.
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please i need help badly please help me ;(
Answer:
Step-by-step explanation:
3^-32
b. If some amount of water contains 1400 oxygen atoms, how many hydrogen atoms does it contain?
hydrogen atoms
Preview
c. If some amount of water contains 3380 oxygen atoms, how many hydrogen atoms does it contain?
hydrogen atoms
Preview
d. Write a formula that expresses the number of hydrogen atoms (y) in any time amount of water in terms of the number of oxygen atoms
that amount of water.
Answer:
B: 2800 hydrogen atoms
C: 6760 hydrogen atoms
D: y=amount of oxygen atoms*2
Step-by-step explanation:
B: We know the formula for water is H2O. SO that means that there is 2 hydrogen atoms and 1 oxygen atom. So there is 2 times the amount of hydrogen atoms so we can do 1400*2=2800, So there is 2800 hydrogen atoms in the water.
C: Same thing as B. 3380*2=6760
D: y=amount of oxygen atoms*2. Because there is one oxygen atom and two hydrogen atoms so 1*2=2.
5
=
What is the value of x? (Use only the digits 0 - 9 and the decimal point, if needed, to
write the number.)
x + 3.2 = 6.1
Answer:
2.9
Step-by-step explanation:
x+3.2=6.1
x=6.1-3.2
x=2.9
What is the value of x that makes the given equation true?
4x−3=−12x+13
a) x=−3
b) x = 0
c) x = 1
d) x = 16
express -8 as a sum of a positive and a negative integer.
Answer:
-10 + 2
-88 + 80
P(n) =-n -1 ;find p(10)
Answer:
p(10) = - 11
Step-by-step explanation:
To find p(10) substitute n = 10 into the rule, that is
p(10) = - 10 - 1 = - 11
Steps to solve:
P(n) = -n - 1; p(10)
~Substitute
P(10) = -(10) - 1
~Simplify
P(10) = -11
Best of Luck!
Simplify the following expression: 1.5 - 4 + 13
Answer:
Hope this is help full
15.5
Step-by-step explanation:
1.5-4+13
2.5+13
15.5
Evaluate 3(a + b + c)2 for a = 2, b = 3, and c = 4.
Answer:
Step-by-step explanation:
3(2 + 3 + 4)^2
3(9)^2 = 3(81) = 243
What is the range of the graph below?
APPLYING EXPONENTS RULES 2.0 PLEASE helppppp
Answer:
gotta chill. hi
Step-by-step explanation:
Answer:
Hi, how are you?
Simplify 3y - 5(y+ 2) completely.
A. -2y- 10
B. -2y + 10
C. 4y- 3
D. 4y - 10
Answer:
A
Step-by-step explanation:
3y-5y-10
-2y-10 this is it
1a and 1b question what is the quadrant function
Answer:
a). Function is not a quadratic function
b). Quadratic function.
Step-by-step explanation:
1.a). x y Ist difference IInd difference
-2 -1 - -
-1 0 0 - (-1) = 1 -
0 4 4 - 0 = 4 [tex]d_1[/tex] = 4 - 1 = 3
1 9 9 - 4 = 5 [tex]d_2[/tex] = 5 - 4 = 1
2 15 15 - 9 = 6 [tex]d_3[/tex] = 6 - 5 = 1
Since, 2nd difference [tex]d_1[/tex], [tex]d_2[/tex] and [tex]d_3[/tex] from the table are not common, function represented by the table is not a quadratic function.
b). -3x²+ x = y - 11
-3x² + x + 11 = y
y = -3x² + x + 11
Since, the highest degree term of the given function is of 2nd degree given function is a quadratic function.
for the given points a(-4 6) and b(6 -4) find the slope of a line through points A and B
Answer:
the required slope of the points is -1...
An ice cream cone costs $3
plus 6% sales tax. How many
ice-cream cones can be purchased
for $24?
Answer:
3*(1.06)=3.18
so,
24/(3.18)=7.57
You can't have half an ice cream cone ( i wish we could though :( ) , you can only get 7
Jacques is standing 1200 meters from a cliff he is planning to climb. The angle of elevation from the ground to the top of the cliff is 35º. To the nearest meter, how tall is the cliff?
Answer:
840 m
Step-by-step explanation:
Please refer to the attached photo.
In the attached photo, h is the height of the cliff.
The following data were obtained from the attached photo:
Opposite = h
Adjacent = 1200
θ = 35 °
The height, h of the cliff can be obtained by using the Tan ratio as follow:
Opposite = h
Adjacent = 1200
θ = 35 °
Tan θ = Opposite /Adjacent
Tan 35 = h/1200
Cross multiply
h = 1200 × Tan 35
h = 1200 × 0.7
h = 840 m
Therefore, the cliff is 840 m tall.
#3 The question says the sun of two consecutive integers is 345. What are the integers?
#5 The sum of two consecutive even integers is 446. What are the two.integers?
Need help please
Step-by-step explanation:
#3 let the two consecutive integers be a, a+1.
a+a+1=345
2a+1=345
2a=345-1
2a=344
a=344/2=172...
the integers are 172, 173
#5 let the consecutive even integers be a, a+2
a+a+2=446
2a=446-2
2a=444
a=444/2=222..so the even integers are 222, 224
A triangle has a sides (x) feet, (x+3) feet, and (x+5) feet. The perimeter is 99.5 feet What is the measure for the largest side?
Answer:
35.5 feet
Step-by-step explanation:
x + x + 3 + x + 5 = 99.5
3x + 8 = 99.5
3x = 91.5
x = 30.5
Largest side = (x+5)
30.5 + 5 = 35.5 feet
5x – 2y + (7x - y) for x = 7 and y = -2.
Plug in the values to solve this problem.
[tex]5x-2y+(7x-y), x=7, y=-2[/tex]
[tex]5(7)-2(-2)+(7(7)-(-2))[/tex]
[tex]35+4+(49+2)[/tex]
[tex]39+51[/tex]
[tex]90[/tex]
Hope this helps.
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