Answer:
67°
Step-by-step explanation:
CHECK THE ATTACHMENT FOR THE FIQURE
From, trigonometry
tan(θ) = opposite/ adjacent
✓The helicopter is 665 feet from ground.
✓Distance of the helicopter and the line of sight of the girl will be the OPPOSITE SIDE, which is
(665ft - 5 ft)
= 600 ft
✓ from the figure, we can see the distance on the Horizontal side which is the ADJACENT SIDE as ( 280 ft)
✓angle of depression can be calculated as
tan(θ) = opposite/ adjacent
tan(θ)= (660/280)
tan(θ)= 2.357
tan-1=(2.357)
θ= 67°
Hence, angle of depression is 67°
You invest $500 in an account that pays 6% interest compounded continuously. How
much will be in the account after 6 years?
=====================================================
Explanation:
We'll apply this formula
A = P*e^(r*t)
where,
A = account balance after t yearsP = initial deposit, aka principale = special constant roughly equal to 2.718 but it goes on forever without a pattern; it's better to let the calculator handle this value rather than type the decimal digits in.r = annual interest rate in decimal formt = number of yearsIn this case, we have
P = 500r = 0.06t = 6Again we won't type "2.718..." for 'e', and we'll just type it into the calculator as shown below. That way the calculator can handle the digits instead.
So...
A = P*e^(r*t)
A = 500*e^(0.06*6)
A = 716.66470728026
A = 716.66 dollars is the final answer
6 x 10 5 is how many times the value of 3 x 10 (Hint: Write your answer in standard form.)
Answer:
0.000036
Explanation:
When multiplying a number by 10 to the power of a positive exponent (e.g.
10
3
), move the decimal in the number that many spaces to the right (e.g.
4.5
⋅
10
3
=
4500
).
When multiplying a number by 10 to the power of a negative exponent (e.g.
10
−
4
), move the decimal in the number (the absolute value of) that many spaces to the left (e.g.
4.5
⋅
10
−
4
=
0.00045
).
For
3.6
⋅
10
−
5
, move the decimal five spaces to the left:
0.000036
Step-by-step explanation:
The density of water is 1000 kilograms per cubic meter, and the density of ice is about 916 kilograms per cubic meter. If 575 kilograms of water and 275 kilograms of ice is combined in a container, about how much volume would the mixture take up?
A)5.0 m^3
B)2.3 m^3
C)0.9 m^3
D)0.4 m^3
Answer:
Step-by-step explanation:
Its c
Erik transformed the equation y = 2(x − 2)2 + 5 from vertex form to standard form. His steps are shown below. Is Erik's work correct? If not, identify and correct his error.
y = 2(x − 2)2 + 5
y = 2(x2 − 4x + 4) + 5
y = 2x2 − 8x + 8 + 5
y = 2x2 − 8x + 13
answer choices
No. The error is in the second line: the expanded form of (x − 2)2 is x2 − 4.
No. The error is in the third line: the product of 2 and x2 − 4x + 4 is 2x2 − 4x + 4.
No. The error is in the fourth line: the sum of 8 and 5 is 12.
Yes. Erik is correct in his transformation from vertex form to standard form.
write an equation for a function that has vertical asymptotes at x=3 & x=-10
Answer:
[tex] \frac{5}{ {x}^{2} + 7x - 30} [/tex]
Step-by-step explanation:
We can write a rational function.
We need to make sure our denominator both have zeroes at 3 and 10.
Set an equation equal to zero to find the function
[tex]0 - x = 3[/tex]
[tex]0 - x = - 10[/tex]
[tex]0 - ( - 3) = = 3[/tex]
[tex]0 - 10 = 10[/tex]
So we would represent that's as
[tex]x - 3[/tex]
and
[tex]x + 10[/tex]
Multiply the two binomial together.
[tex](x - 3)(x + 10) = {x}^{2} + 7x - 30[/tex]
Let our numbetator be any interger.
Use any equation as long as the quadratic is the denominator and the interger is the numerator.
[tex] \frac{5}{ {x}^{2} + 7x - 30 } [/tex]
Which number is located between 19 and 20 on a number line?
A. √298
B. √340
C.√ 391
D. √ 402
Answer:
C. 391
Step-by-step explanation:
The number located between 19 and 20 is, C.√ 391
What are surds and indices?We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,
The other type of radicals are indices where a number is raised to such power that is greater than one.
We know, √400 is 20.
Given, We have to find an irrational number between 19 and 20.
Now, From the given options the closest number to √400 is √402 but it is not between 19 and 20.
Therefore, The number whose square root is between 19 and 20 is,
√ 391.
learn more about surds and indices here :
https://brainly.com/question/1369233
#SPJ3
Plz help me it’s my last question giving brainliest
Answer:
1) A
This is your last one?
Hope this Helps!Hope this Helps!:)What is the equation of the line that passes through the point (2,-4) and has a
slope of 2?
Answer:
y = 2x - 8
Step-by-step explanation:
Point(2 , -4) ; slope = 2
Point- slope form:
y - y1 = m(x - x1)
y - [-4] = 2(x - 2)
y + 4 = 2x - 2*2
y + 4 = 2x - 4
y= 2x - 4 - 4
y = 2x - 8
Help me please an thanks
Answer:
4.6
Step-by-step explanation:
2^2+x^2=5^2
4+x^2=25
x^2=25-4
x^2=21
x=square root 21
x=4.58=4.6
Which expressions are equivalent to 4/7x + 4?
A. 1 + 3/7x +3
B. 5/7x - 1/7x + 4
C. 3/7x + 4 1/7x
D. 1 + 4/7x + 3
E. 1 + x/7 + 3
F. 3/7x + 4 4/7x - 1
Answer:
4+28x
_____
7x
i think...
How many cubic inches is 18 inches
Answer:
5832 cubic inches
8. Does the equation show a proportional relationship?
y = x + 9
O Yes
O No
6,10,14 ... Find the 30th term.
Answer:
a₃₀ = 120Step-by-step explanation:
[tex]a_n=a_1+d(n-1)\\\\\\10-6=4 \ \ and\ \ 14-10=4\quad\implies\qquad d=4\\\\a_1=6\\\\\\a_{30}=6+4(30-1)=122[/tex]
Pat is three times as old as she was 14 years ago. In seven years, she will be four times as old as she was 14 years ago. How old is she now?
How would I solve 8n-5=139?
Answer:
18
Step-by-step explanation:
8n=144
divide the both side of the equation by 8
and you will get
n=18
Answer:
8n-5=139
Add 5 to each side.
8n=144
Divide each side by 8.
n=18
Taylah buys clothes from a supplier in the USA. The total cost of the clothes is $250 US dollars. Shipping the clothes costs an extra $30 US dollars.On arrival in Canadian customs add an extra 10% GST to the cost of the clothes. Calculate how much Taylah has to pay in total.
If u know the answer plz answer if u don't know the answer,don't answer! -Warning
Can someone please help me with this math problem:):)
Answer:
i dont understand
Step-by-step explanation:
Expresa en unidades las siguientes cantidades: cinco decenas cuarenta decenas de mil siete centenas de mil veintitrés unidades de mil ayúdenme plis :3
The diameter of a hula hoop is 36 inches. Find the area enclosed by the hoop in sq. inches.
What is the surface area?
Answer:
The total area is 685
Step-by-step explanation:
First get the area of the square; the area of the square is the height times the width. Because its a square all of its sides are equal, 15 times 15 equals 225. Next we go to figuring out the triangles´ area; the formula to figure out a triangles area is 0.5 times height times width. Because there are 4 of the exact same triangles we only have to figure out one and we have the area for each of them. 0.5 times 20 times 15 equals 115, with that information we are able to obtain all the information we need to discover the total area.
The area of the square: 225
The area of each of the triangles: 115
If there are 4 exact triangles of 115 then that equals all the triangles together to be 460, then add the square 460 plus 225 equals 685.
Hope this helps!!
2x + 2 = -14
What’s the value of x
Answer:
x=-8
Step-by-step explanation:
2x+2=-14
2x=-16
x=-8
Answer: x = -8
Step-by-step explanation:
The scatter plot shows the number of hours worked and money soent on etnertainment by each of 25 students . Also shown is tbe ljne of best fit for the data fill in the blanks below
Answer:
Follows are the responses to the given question:
Step-by-step explanation:
Please find the attached file for the complete question:
For point A:
The amount of money being spent appears to rise for those 25 students as the number of hours increases. This is evident from the plot of scattering as well as the best line.
For point B:
Its number of hours spent as well as the amount of money spent were also positive for such 25 students.
For point C:
Also with a line that fits best, we will indeed predict that only an 8-hour student would spend about $22.
All these are seen in a direct line drawn from the x-axis where x=8 fits this same best line and a horizontal line is drawn between that axis and the Y-axis is drawn.
Find the height of a parallelogram with an area off 41 square meters and a base of 8.2 meters. Include the measurement of the shape. First to get it right gets brainliest
Answer:
I'm go take 8.2 subtract by 41 and I got 32.8
Step-by-step explanation:
Please explain and answer quickly, links will be reported
Answer:
Adults = 325
Students = 612
Step-by-step explanation:
2(325) + 0.75(612) = $1,109
612 + 325 = 937
PLEASE HELP!!! I WILL GIVE 30 POINTS!
Write a verbal statement that represents the expression h ÷ 8.
My teacher told me to write out the words for the symbols and numbers.
Please help.
Answer:
If I have "h" amount of cookies and I have 8 friends with me, How much would each friend get?
Step-by-step explanation:
Jackie weeded the neighbors' gardens all summer. The 6 neighbors paid:
$4.00 $6.00 $6.00 $5.00$ 8.00 7.00
What was the mean amount paid?
Answer:
7.2
Step-by-step explanation:
(4+6+6+5+8+7)/6=
=7.2$
Which is greater, 4 miles or 7,000 yards ? How much greater? Explain.
Answer:
4 miles is greater.
Step-by-step explanation:
When we convert 4 miles to yards, we get 7,040. Therefore, when we look at the amount, we can see that 7,040 is greater than 7,000.
Jennifer was baking cupcakes for her class. She needed to bake 35 cupcakes in all. Each cupcake needed .13 cups of sugar. How many cups of sugar will she need in order to make the 35 cupcakes?
please please help me!!!!!!!
Answer:
d
Step-by-step explanation:
Hope this helps! Good luck!
I have 0.0254 it and they say approximately to 2 decimal place will I include the 0 after the decimal point
Yes. You have to include 0.
If we round off this value to 2 decimal places then it is
0.03
Reason: after decimal point or before decimal point if you have to drop some digits and if the digit to be droped are 5 followed by non zero digit then previous digit is increased by 1.
Here, the digits to be droped are 5 and 4 after 0.02 so we increase 2 by 1 that is 3.