Answer:
We can think of this as a triangle rectangle.
We know that you eyes are 55ft above the ground, this can be one cathetus.
We also know that you see with an angle of depression of 50°, from this angle, our known cathetus would be the opposite cathetus.
Now we want to know how far is the object from you, this would be the hypotenuse of the triangle rectangle.
So we only know one angle and the opposite cathetus to this angle, then we can use the relation:
Sin(θ) = (opposite cathetus)/(hypotenuse)
Then if we use this equation, we will get:
Sin(50°) = 55ft/hypotenuse
hypotenuse = 55ft/sin(50°) = 71.8 ft
This means that the distance between you and the object is 71.8 ft.
Find the perimeter of quadrilateral LEAP with vertices L(-3, 1), E(3, 3), A(5, 7) and P(-1,5)
Answer:
4√5 + 4√10
Step-by-step explanation:
The perimeter is the sum of all the sides.
Using the coordinates given to us, we can find the sides of the quadrilateral.
d(ab) = √[(x2 - x1)² + (y2 - y1)²]
Given that, we apply that to each and every of the side, and thus we have
d(le) = √[(3 --3)² + (3 - 1)²]
d(le) = √[(6²) + (2)²]
d(le) = √(36 + 4)
d(le) = √40
d(ea) = √[(5 - 3)² + (7 - 3)²]
d(ea) = √[(2)² + (4²)]
d(ea) = √(4 + 16)
d(ea) = √20
d(ap) = √[(-1 - 5)² + (5 - 7)²]
d(ap) = √[-6)² + (-2)²]
d(ap) = √(36 + 4)
d(ap) = √40
d(pl) = √[(-1 --3)² + (5 - 1)²]
d(pl) = √[(-2)² + (4)²]
d(pl) = √(4 + 16)
d(pl) = √20
Perimeter of the quadrilateral is then
d(le) + d(ea) + d(ap) + d(pl)
√40 + √20 + √40 + √20
4√5 + 4√10
Rewrite the expression in the form z^n
Answer:
[tex] {z}^{ \frac{1}{2} } [/tex]
Step-by-step explanation:
[tex] \huge \sqrt[5]{ {z}^{4} {z}^{ - \frac{3}{2} } } \\ \\ = \huge \sqrt[5]{ {z}^{4 - \frac{3}{2} } } \\ \\ = \huge \sqrt[5]{ {z}^{ \frac{8 - 3}{2} } } \\ \\ = \huge \sqrt[5]{ {z}^{ \frac{5}{2} } } \\ \\ = \huge {z}^{ \frac{5}{2} \times \frac{1}{5} } \\ \\ = \huge {z}^{ \frac{1}{2} } [/tex]
write an equation for the line that passes through the points (-1,-12) and (4,8)
Answer:
y = 4x - 8
Step-by-step explanation:
(-1, -12) & (4, 8)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(8 - (-12)) / (4 - (-1))
Simplify the parentheses.
= (8 + 12) / (4 + 1)
= (20) / (5)
Simplify the fraction.
20/5
= 4
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 4x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (4, 8). Plug in the x and y values into the x and y of the standard equation.
8 = 4(4) + b
To find b, multiply the slope and the input of x(4)
8 = 16 + b
Now, subtract 16 from both sides to isolate b.
-8 = b
Plug this into your standard equation.
y = 4x - 8
This is your equation.
Check this by plugging in the other point you have not checked yet (-1, -12).
y = 4x - 8
-12 = 4(-1) - 8
-12 = -4 - 8
- 12 = -12
Your equation is correct.
Hope this helps!
1.
A bakery sells oatmeal raisin cookies for $3 per bag. In the table below b
represents teh number of bags and c represents the cocst in dolloars.
Complete the function table using the rule c = 3b
Answer/Step-by-step explanation:
Number of bags = b
Cost in dollars = c
Unit price of raisin = $3
We have the function given as c = 3b.
To complete the table, substitute each value of b into c = 3b, to find the corresponding value of c.
✔️when b = 1,
c = 3(1)
c = 3
✔️when b = 2,
c = 3(2)
c = 6
✔️when b = 3,
c = 3(3)
c = 9
✔️when b = 4,
c = 3(4)
c = 12
30 POINTS// URGENT
An agent sells a property for 220,000 the broker takes a commission of 3%, out of which the agent receives 60%. How much does the agent receive?
Giving brainliest to the most well explained answer and giving a “thanks” to all answers.
Accidentally sent the question twice so ignore it if you see it. Here are the correct amount of points! The other one only was set as 10 points
Please help me find the area of this polygon.
Answer:
28²
Step-by-step explanation:
area for square
4×4=16
area for triangle
6×2=12
12÷2=6(the formula for finding a triangle area is height×length after that divided by 2)
for both triangle
6×2=12
after that add 12+16 then you have the answer and don't forget your ²...
3√(64x^9y^3)^4. Simplify the expression.
Answer:
[tex]2x^{2}y[/tex]
Step-by-step explanation:
Reflect points please help me
Answer:
Step-by-step explanation:
The distance from point B to line m is 6 units. To reflect across the m axis, flip the point. Therefore, after reflection, point B' is 6 units under axis m
Find the x-coordinate of the solution for the system of equations using the technique of SUBSTITUTION only.
x= y + 1
2x+ 3y = 7
o 2
o 1
o 3
o11/5
Answer:3
Step-by-step explanation:
Help me and i will give away 50 points
Answer:
Step-by-step explanation:
PLEASE ANSWER ASAP !!!
Write the zero of the polynomial p(x) = 5x + 2.
Answer:
-2/5
Step-by-step explanation:
p(x) = 5x + 2
plug p(x) = 0
5x + 2 = 0
5x = - 2
x = - 2/5
Answer:
the final answer is -2/5
Step-by-step explanation:
p(x) = 5x + 2
plug p(x) = 0
5x + 2 = 0
5x = - 2
x = - 2/5
then the final answer is -2/5
Need help on number 7
Answer:
area of triangle=1/2 base×height=1/2 8×14=56cm²
Please help me with those 2 question!
Answer:
1
Step-by-step explanation:
There are 24 spaces on the Wheel of Fortune spinner. There are two bankrupt and one lose a turn section. What is the probability that you spin bankrupt or lose a turn on your turn?
Experimental or Theoretical?
Answer:
8.33%
Step-by-step explanation:
2÷224÷2=112
We know that
112
is the same as
1÷12
Then using
Long Division for 1 divided by 12
gives us
0.08333
Converting our number to a percentage:
0.08333×100
=8.33%
how to find imaginary zeros anf real zeros of F(x)=-4x^5-8x^3+12x
Answer:
[tex]x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}[/tex]
Step-by-step explanation:
We are given the function:
[tex]f(x)=-4x^5-8x^3+12x[/tex]
And we want to finds its zeros.
Therefore:
[tex]0=-4x^5-8x^3+12x[/tex]
Firstly, we can divide everything by -4:
[tex]0=x^5+2x^3-3x[/tex]
Factor out an x:
[tex]0=x(x^4+2x^2-3)[/tex]
This is in quadratic form. For simplicity, we can let:
[tex]u=x^2[/tex]
Then by substitution:
[tex]0=x(u^2+2u-3)[/tex]
Factor:
[tex]0=x(u+3)(u-1)[/tex]
Substitute back:
[tex]0=x(x^2+3)(x^2-1)[/tex]
By the Zero Product Property:
[tex]x=0\text{ and } x^2+3=0\text{ and } x^2-1=0[/tex]
Solving for each case:
[tex]x=0\text{ and } x=\pm\sqrt{-3}\text{ and } x=\pm\sqrt{1}[/tex]
Therefore, our real and complex zeros are:
[tex]x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}[/tex]
Best Buy shoes had a back to school special. The total bill for four pairs of shoes came to $62.24(before tax) what was the average price for each pair of shoes
Answer:
I believe it's 15.56
Step-by-step explanation:
just divide 62.24 by 4
If AB=7x, CB=5x+8 and BD AC what is the length of CB
Answer:
x = 4
CB = 28
Step-by-step explanation:
In triangle ABC,
AB = CB..... (given)
Therefore,
7x = 5x + 8
7x - 5x = 8
2x = 8
x = 8/2
x = 4
CB = 5x + 8 = 5*4 + 8 = 20 + 8 = 28
Caleb claims that the order pairs shown in the table below are from a nonlinear function.
x f(x)
0 2
1 4
2 8
3 16
please show your work
Caleb is correct bc he table doesnt have a constant rate of change so it cant be linear.
its a exponential function.
4/2 = 2; 8/4 = 2; 16/8 = 2.
i s#ck at answering lma*oo. hope this helped
Caleb is correct the table doesn't have a constant rate of change so it can't be linear.
What is a nonlinear function?Any function whose graph is not a line is said to be nonlinear. It has the equation f(x) = ax + b. With the exception of form f(x) = ax + b, its equation can take any form. Any two points on the curve have the same slope. Every pair of points on the graph do not have the same slope.
The rate of change of the function is not constant for the given data so it can not be a linear function. It's an exponential function.
4/2 = 2; 8/4 = 2; 16/8 = 2.
To know more about a non-linear function follow
https://brainly.com/question/11605449
#SPJ2
What's the slope for 5x - 3y = 18 (it’s not 3 or 5)
Answer:
5/3
Step-by-step explanation:
get y by itself
-3y=-5x+18
divide by -3 to get y
y=5/3-6
3. The following expression is given. 2/3 (3/4x-3/2)
Write an equivalent expression by using the distributive property and
combining any like terms.
Step-by-step explanation:
2/3*3/4x-2/3*3/2
1/2x--1
a ferris wheel can accomidate 65 people in 25 minutes
how many people can ride the ferris wheel in 5 hours
Answer:
325
Step-by-step explanation:
I dont know how to explain it
What’s the rate of 4.1(x+5)+1
Step-by-step explanation:
4.1(x+5)+1
= 4.1x + 20.5 + 1
= 4.1x + 21.5
What are the roots of the equation x^2-6x+58=0 in simplest a+bi form?
Answer:
Step-by-step explanation:
[tex]x^2-6x+58=0\\ \\ \text{Since the discriminant, 36-232<0, there are no real roots, only two imaginary ones.}\\ \\ x=3\pm 7i\\ \\ (x+3+7i)(x+3-7i)[/tex]
im on a time crunch plz
Answer:
I would say 2
Answer:
6 hours.
Step-by-step explanation:
bc to find the range of a number you have to find the difference between the largest and smallest numbers. in this case its 2 and 8 and the answer would be 6
I need help!!! PLEASE HELP ME
Answer: y=8
Step-by-step explanation:
Find the radius of a circle with an area of 380 square inches. Round your answer to the nearest hundredth.
Answer
Area of a circle is defined as
Area of a circle is defined asA = πr²
Area of a circle is defined asA = πr²Where
Area of a circle is defined asA = πr²WhereA is the area of the circle
Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circle
Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142
Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,
Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²
Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,
Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²
Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²
Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142
Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142
Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142111.372 = r²
Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142111.372 = r²Take square root of both sides
Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142111.372 = r²Take square root of both sides√111.372 = √r²
Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142111.372 = r²Take square root of both sides√111.372 = √r²10.5533 = r
Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142111.372 = r²Take square root of both sides√111.372 = √r²10.5533 = rr = 10.5533 in
Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142111.372 = r²Take square root of both sides√111.372 = √r²10.5533 = rr = 10.5533 inNearest hundredth means to 2d.p
Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142111.372 = r²Take square root of both sides√111.372 = √r²10.5533 = rr = 10.5533 inNearest hundredth means to 2d.pTherefore
Area of a circle is defined asA = πr²WhereA is the area of the circler Is the radius of the circleπ is a constant = 3.142Then,Given that the area is 380 in²So,A = πr²380 = 3.142 × r²Divide both side by 3.142380 / 3.142 = 3.142 × r² / 3.142111.372 = r²Take square root of both sides√111.372 = √r²10.5533 = rr = 10.5533 inNearest hundredth means to 2d.pThereforer = 10.55 inches
Answer:
11 inches
Step-by-step explanation:
Since area= pi*r^2, we can plug in what we know to solve for the radius
380=pi*r^2
380/pi=r^2
sqrt(380/pi)=r
r=10.998, or roughly 11 inches
100 points.
Find the surface area of the triangular prism. The unit is cm^2
Answer:
1380
Step-by-step explanation:
A new car is purchased for 18000 dollars. The value of the car depreciates at 7% per year. To the nearest tenth of a year, how long will it be until the value of the car is 8500 dollars?
Answer:
5 weeks
Step-by-step explanation:
because my teacher told me
Answer:actually it’s 10.3
Step-by-step explanation:delta math gave me the right answer once I got it wrong
Write 2^3 x 2^4 as a single power of 2
Answer:
2^7
Step-by-step explanation:
2^3 x 2^4
= 2^(3+4)
= 2^7