A 60-foot zip line from a tree to the ground forms a 45 degree angle of elevation from the ground. How high above the ground is the top of the zip line? Round your answer to the nearest tenth of a foot.
Answer:
42.4 foot
Step-by-step explanation:
Please check the attached image for a diagram explaining the question
We would use sine to determine the required side
Sin 45 = opposite / hypotenuse
0.7071 = opposite / 60
60 x 0.7071 = 42.4 foot
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Find the measure of arc CB
Answer:
Arc CB is equals to 160
Step-by-step explanation:
Add all of those numbers and subtracted by 360
Answer:
Step-by-step explanation:
Remark
Be very careful that you understand which arc you are asking for. Arc CB could be the arc made up of 53 + 79 + 68 = 200.
Somehow I get the idea that is not what you want. You want the arc that is not divided up so it is
Arc CB = 360 - Sum of the minor arcs
Arc CB = 360 -- 200
Arc CB = 160
Use the Pythagorean theorem and the following diagram to help you find the area and perimeter of the following triangle. Please show your work and steps, so partial credit may be given:
Answer:
Perimeter = 30
Area = 30
Step-by-step explanation:
[tex](x+8)^2 -x^2 = 12^2[/tex]
[tex]x^2 +16x +64 - x^2 = 144[/tex]
[tex]16x+64=144[/tex]
[tex]16x = 80[/tex]
[tex]x = 5[/tex]
Double check:
[tex]\sqrt{12^2 + 5^2} = (5+8)\\\sqrt{12^2 + 5^2} = 13\\13 = 13[/tex]
Perimeter:
[tex]12+5+13=30[/tex]
Area([tex]\frac{1}{2}bh[/tex]):
[tex]\frac{1}{2}[/tex] × 12 × 5 = 30
According to Pythagorean theorem,
Δ (Hypotenuse)² = (1st Leg)² + (2nd Leg)²
⇒ (x + 8)² = x² + 12²
⇒ x² + 64 + 16x = x² + 144
⇒ 16x = 80
⇒ x = 5
Hypotenuse = (x + 8) = (5 + 8) = 13
1st Leg = 5
2nd Leg = 12
We know that : Perimeter is the Sum of all sides of the Triangle
⇒ Perimeter = Hypotenuse + 1st Leg + 2nd Leg
⇒ Perimeter = 13 + 5 + 12
⇒ Perimeter = 30
We know that :
[tex]\bigstar \ \ \boxed{\sf{\textsf{Area of a Triangle is given by} : \dfrac{1}{2} \times Base \times Height}}[/tex]
Base = 1st Leg
Height = 2nd Leg
[tex]\implies \sf{\textsf{Area of the Triangle} = \dfrac{1}{2} \times 5 \times 12}[/tex]
[tex]\implies \sf{\textsf{Area of the Triangle} = 30}[/tex]
Hello help please and thank you
Answer:
I don't know this answer
Answer:
28.27 inches ^2
Step-by-step explanation:
Which graph models the equation y = 8(0.8)x?
Answer:
C
Step-by-step explanation:
Plug in two different numbers in the x coordinate and see if the y coordinate matches up with the same line.
simultaneous equation -- 4x+3y=16 .. 5x-y=1
Answer:
(1, 4)
Step-by-step explanation:
4x + 3y = 16
5x - y = 1
20x + 15y = 80 (Subtract the equations)
20x - 4y = 4
19y = 76
y = 4
Substitute into any of the original equations:
4x + 3(4) = 16
4x + 12 = 16
4x = 2
x = 1
x = 1, y = 4
Answer:
x = 1 and y = 4
Step-by-step explanation:
4x + 3y = 16
5x - y = 1
→ Rearrange the second equation to make y the subject
y = 5x - 1
→ Substitute this into the first equation
4x + 3 ( 5x - 1 ) = 16
→ Expand
4x + 15x - 3 = 16
→ Simplify
19x - 3 = 16
→ Add 3 to both sides
19x = 19
x = 1
→ Substitute this solution into 5x - y = 1
( 5 × 1 ) - y = 1
→ Simplify
5 - y = 1
→ Minus 5 from both sides
-y = -4
→ Multiply both sides by -1
y = 4
Given the function
F(x)=
Answer:
Replace all the (x) values with the Values "-1, 0, 2" to get your answers
Step-by-step explanation:
4(-1)+4 (-1) < 0
f(-1)= 4(-1)+4 (-1) > 0
f(-1)= 4x+4 x < 0
f(0)= 4x +8 x>/_ 0
f(2)= 4x +8 x>/_ 0
Find the distance between the two points in simplest radical form.
(7, 2) and (-1, -3)
Answer:
[tex]Distance = \sqrt{89}[/tex]
Step-by-step explanation:
[tex]Let \ (x_1 , y_1) = \ ( 7, 2 ) \ and \ (x_2 , y _2) \ = ( -1 , - 3) \\\\\\Distance = \sqrt{(x_2-x_1)^2 + (y_2 - y_1)^2}\\\\[/tex]
[tex]= \sqrt{(-1 - 7)^2 + ( -3 -2)^2}\\\\=\sqrt{(-8)^2 + ( -5)^2}\\\\=\sqrt{ 6 4 + 25 } \\\\=\sqrt{89}[/tex]
ANSWER ASAP
How many faces does a polyhedron with 6 vertices and 12 edges have?
Eight faces!!!
In geometry, an octahedron is a polyhedron with eight faces, twelve edges, and six vertices.
Hope this helps! :D
GUYS PLEASE SOMEBODY ANSWER THIS AS QUICK AS POSSIBLE I WILL GIVE YOU 50 POINTS
When 20 employees were first hired in 2011 for an environmental engineering firm, Company A, the starting annual salary was $35,000. A competing environmental engineering firm, Company B, had the same starting salary for 20 employees hired the same year. In 2016, data was collected on the annual salaries of these same employees at each company. This data is displayed in the boxplots shown:
Part A: Compare the annual salary distributions. (4 points)
Part B: What are the pros and cons of working at each company? Explain using what you found in Part A. (6 points)
Answer:
part A: 30,000 is more
Step-by-step explanation:
Which of the following is a fifth degree binomial?
Answer:
C)
Step-by-step explanation:
[tex]2xy^{2}-5y^{5}[/tex]
Binomial should have two terms. Five degree binomial means highest degree of the binomial should be 5
4/10 + 5/100
Pls help now
Answer:
4/10 + 5/100= 9/20
Step-by-step explanation:
Answer:
9/20
Step-by-step explanation:
reduce the fraction with 2
4/10+5/100
2/5+5/100
2/5+1/20
write all numerators above the least common denominator 20
8+1/20
8+1=9
9/20
The formula to convert °F to °C is C = (F – 32).
Convert 50°C to °F.
10°F
20°F
122°F
132°F
The value of 50°C in °F is,
⇒ 122° F
What is Measurement unit?A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Given that;
To Convert 50°C to °F.
Now, We get;
⇒ (50 × 9/5) + 32
⇒ 90 + 32
⇒ 122° F
Thus, The value of 50°C in °F is,
⇒ 122° F
Learn more about the measurement unit visit:
https://brainly.com/question/777464
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Which figure is described below?
The points in a plane 4 units
from pq.
A. 2 lines
B. ray
C. sphere
D. line
Answer:
A. 2 lines
Step-by-step explanation:
Just did it on Acellus
Figure constitute 2 lines.
What is a Line?A line is a part of line that is bounded by two distinct end point, and contains every point on the line is between its endpoint.
option d) 2 lines will be described in the figure
PQ is already a line . Since , a point let say R is 4 unit away from that line , then this will constitute another line which is 4unit away from PQ.
Hence , figure constitute 2 lines.
Learn more about lines :
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Find the area of each figure. Use 3.14
===============================================================
Explanation:
The top and bottom semicircles can be joined to form a full circle. The same can be said about the left and right semicircles. Each circle has diameter 3 and radius 1.5
The area of one circle is
A = pi*r^2
A = 3.14*(1.5)^2
A = 7.065
So two circles doubles to 2*7.065 = 14.13 square meters in area.
Then the last step is to add on the area of the 3 by 3 square (area 3*3 = 9) to get 14.13+9 = 23.13
This area is approximate because pi = 3.14 is approximate. Use more decimal digits in pi to get a more accurate area. However, your teacher wants you to use this specific value so it's best to stick with 23.13
Answer:
23.14
Step-by-step explanation:
The shape is basically two equal-sized circles and a square.
Find the area of the square: 3 x 3 = 9
9 is the area of the square
The formula for finding the area of a circle is pi x radius squared.
3.14 x 1.5 squared = 7.06858
Round to 7.07 and multiply by 2 = 14.14
14.14 (area of both circles) + 9 (area of square) = 23.14
Find the segment of the line segment
Answer:
(1,3)
Hope this helps! :)
help, please! f(x)=x^2 what is g(x)?
Answer:
B
Step-by-step explanation:
If you substitute in the value x = 1, and y = 4 (based on the point given), (2x)^2 is the only expression that makes it work.
Hope this helps!!
A parent deposits $2000 into their child's bank account. The account earns 4%
interest each year. Write an explicit function that represents the situation. *
A(t) = 2000(1.04)-1
A (t) = 2000(4)'
A(t) = 2000(1.04)'
A(t) = 2000 + 4t
O
Answer:
A = 2000(1.04)^t
Step-by-step explanation:
Using the compound interest formula;
A = P(1+r)^t
P is the principal = $2000
r is the rate = 4% = 0.04
On substituting
A = 2000(1+0.04)^t
A = 2000(1.04)^t
Hence the required expression is A = 2000(1.04)^t
Isaiah brought two dozen donuts to a class party. Half of the donuts had vanilla frosting with sprinkles, 2 had strawberry frosting with cream filling, and the rest had chocolate frosting with sprinkles. What fraction of the donuts had sprinkles? There are 12 donuts in a dozen.
Answer:
22/24
ALL TOGETHER there is 24 donuts.
take half of 24, or 24 divided by 2, and you get 12.
so we know 12 of the donuts are vanilla with sprinkles.
then 2 had strawberry frosting and the rest had chocolate and sprinkles.
we took 12 away so we only have twelve left and if 2 of those 12 are strawberry with no sprinkles and the rest are chocolate WITH sprinkles, this means 10 are chocolate with sprinkles.
so 10 chocolate and sprinkles +12 vanilla and sprinkles=22 donuts with sprinkles out of 24 donuts total
Answer:
22/24
Step-by-step explanation:
Which equation has the slope of 3 and passes through point (1,5)
Pls help i'm struggling with this help pls!
Answer:
[tex]5\sqrt{10}[/tex] when simplified and added this is what i got and when redone too over check i got it again hopefully this helps.
PLEASE HELP ASAPPPP
Is it possible to write an expression like a(b+c) that equals 360 where a is an fraction?
Either write such an expression, or explain why it is impossible.
How many ways do you think there are to make 360 using the distributive property?
Answer:
1. 1/2(700 + 20)
2. 12(50 -20)
3. There are infinite expressions with fractions and decimals, and even if you dont enclude those its quite a large number
Step-by-step explanation:
Please Help. What is the perimeter of the base?
x is the unknown remaining edge of the base.
Using Pythagoras theorem in the base, we have:
[tex]8 {}^{2} + x {}^{2} = 10 {}^{2} [/tex]
[tex] = > \: x = \sqrt{10 {}^{2} - 8 {}^{2} } = 6[/tex]
with x = 6, the perimeter of the base is 10 + 8 + 6 = 24
can someone help me please
Answer:
yes iam help to you. have a nice day
A ticket agent sells 24 tickets to a play. The tickets cost $70 each. Use rounding to estimate the total
dollars taken in from the sale of the tickets.
Question Help: Video
Submit Question
Answer:
$1,608
Step-by-step explanation:
I think you have to do $70 x 24
Answer:
$1680
Step-by-step explanation:
For 1 ticket price=$70
For 24 ticket price=$70 x 24
=$1680
Can someone explain step by step of how to answer this question?
Answer:
More people ordered processed than produce
Step-by-step explanation:
They are comparing [tex]\frac{1}{5} and \frac{19}{91}[/tex]
First we have to find the least common multiple (lcm)
The lcm is 455
[tex]\frac{1}{5} x \frac{91}{91} = \frac{91}{455}[/tex] (produce)
[tex]\frac{19}{91} x \frac{5}{5} =\frac{95}{455}[/tex] (processed)
[tex]\frac{91}{455} < \frac{95}{455}[/tex]
More people ordered processed than produce.
find the value of x
help me pls
Answer:
x = 30
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
4x-18 = 2x+6 + 36
Combine like terms
4x-18 = 2x+42
Subtract 2x from each side
4x-18-2x =2x+42-2x
2x-18 =42
Add 18 to each side
2x-18+18 = 42+18
2x= 60
Divide by 2
2x/2 = 60/2
x = 30
A triangle and a rectangle are shown below.
The area of the rectangle is 5 times the area of the triangle.
Work out the width(w) of the rectangle
Answer:
10 cm
Step-by-step explanation:
From the diagram,
Applying,
lw = 5/2(bh)..................... Equation 1
Where l = length of the rectangle, w = width of the rectangle, b = base of the triangle, h = height of the triangle.
make w the subject of the equation
w = 5(bh)/2l............... Equation 2
From the diagram,
Given: l = 12 cm, b = 6 cm, h = 8 cm
Substitute into equation 2
w = 5(6×8)/(2×12)
w = 10 cm
Hence the width of the rectangle is 10 cm
two lines intersect.One has gradient 4 and y-axis intercept 3. The other has gradient 6 and cuts the y-axis at (0,1). What is the point of interesection of the lines?
Answer:
(1, 7 )
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 )
Then the equations of the 2 lines are
y = 4x + 3 → (1)
y = 6x + 1 → (2)
Substitute y = 6x + 1 into (1)
6x + 1 = 4x + 3 ( subtract 4x from both sides )
2x + 1 = 3 ( subtract 1 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
Substitute x = 1 into either of the 2 equations for corresponding value of y
Substituting into (1)
y = 4(1) + 3 = 4 + 3 = 7
Point of intersection = (1, 7 )
Help plz
Use substitution to determine whether the system below has no solutions, infinitely many solutions, or one solution.
15x + 5y = 20
y = 8 − 3x
Group of answer choices
no solution
one solution
infinitely many solutions
Answer:
No solution
Step-by-step explanation:
15x+5y=20 8-3x
substitute one unknown quantity into the elimination
15x+5(8-3x)=20
solve the equation
nosolution