Answer:
14degrees
Step-by-step explanation:
Given the following
Distance of ship from the tower = 200m
Height of the tower = 50m
Required
Angle of depression theta
USing the SOH CAH TOA identity
Tan theta = opposite/adj
Tan theta = 50/200
Tan theta = 1/4
theta = arctan(0.25)
theta = 14.03degrees
Hence the angle of depression is 14degrees
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PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH
WHATS THE AREA PLSSSSS
Answer:
34 in
Step-by-step explanation:
Trapezoid Area Formula: A= 1/2h (base 1 + Base 2)
A= 1/2(4)* (12+5)
A= 2 *(17)
A= 34 in
I hope this helped :)
25A) Find the length of a rectangular lot with a perimeter of 132 feet if the
length is three more than twice the width.
Answer:
34.5 ft
Step-by-step explanation:
~Refer to the attachment for the solution.
If 2^2008 – 2^2007 - 2^2006 + 2^2005 = k * 2^2005 then the value of k is equal to
Step-by-step explanation:
Maths
Bookmark
if 2
2008
−2
2007
−2
2006
+2
2005
=k ⋅2
2005
then the value of k is equal to
Answer
Correct option is
B
3
2
2008
−2
2007
−2
2006
+2
2005
=k⋅2
2005
⇒[2
2008
−2
2006
]−[2
2007
−2
2005
]=k⋅2
2005
⇒2
2006
(2
2
−1)−2
2005
(2
2
−1)=k⋅2
2005
⇒3(2
2006
−2
2005
)=k⋅2
2005
⇒3[2
2005
(2−1)]=k⋅2
2005
⇒3(2
2005
)=k⋅2
2005
On comparing, we get
k=3
Hence, Option B is correct.
Answer:
k = 3
Step-by-step explanation:
[tex]2^{2008}-2^{2007}-2^{2006}+2^{2005}=k \times 2^{2005}[/tex]
[tex]=> (2^{2005} \times 2^3) - (2^{2005} \times 2^2) - (2^{2005} \times 2^1) + 2^{2005} = k \times 2^{2005}[/tex]
Take [tex]2^{2005}[/tex] common from all the terms in L.H.S.[tex]=> 2^{2005}(2^3 - 2^2 - 2^1 + 1) = k \times 2^{2005}[/tex]
Divide both the sides by [tex]2^{2005}[/tex].[tex]=> \frac{2^{2005}(2^3 - 2^2 - 2^1 + 1)}{2^{2005}} = \frac{k \times 2^{2005}}{2^{2005}}[/tex]
[tex]=> 2^3 - 2^2 - 2^1 + 1 = k[/tex]
Expand the terms in L.H.S.[tex]=> 8 - 4 - 2 + 1 = k[/tex]
[tex]=> k = 3[/tex]
i need help ill give brainliest
Answer:
486
Step-by-step explanation:
multiply the length width and height for the surface area
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2.2 × 1019) + (1.5 × 1016)
Answer:
Use calculator it's easy ....
Answer :
3765.8
Answer:
[tex](2.2 \times 1019) + (1.5 \times 1016) \\ = 2241.8 + 1524 \\ = 3765.8[/tex]
Expand to write an equivalent expression. −5(7m−2)
Answer:
Step-by-step explanation:
-5(7m-2)
-5*7m-(-5)*-2
-35m+10
The expansion of an equivalent expression −5(7m−2) is -35m + 10.
What is a distributive property?Distributive property says that the sum of two or more addends multiplied by a number, gives the same answer as distributing the multiplier, multiplying each added separately, and adding the products together.
Given expression
−5(7m−2)
For expanding the expression, use distributive property
= -5 × 7m - (-5) × (-2)
= -35m + 5 × 2
= -35m + 10
Hence, The expansion of an equivalent expression −5(7m−2) is -35m + 10.
Learn more about distributive property here
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PLEASE HELP QUICK.HELP. PLEASE EXPLAIN HOW TO FIND ANSWER ASWELL
Answer:
gradient = 1
Step-by-step explanation:
Calculate the gradient m using the gradient formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 0 ) and (x₂, y₂ ) = (0, 1) ← 2 points on the line
m = [tex]\frac{1-0}{0-(-1)}[/tex] = [tex]\frac{1}{1}[/tex] = 1
what is the value of x??
Answer:
x + 5 = 5×
7x - 5 = 2x
5x + 2x + x = 180
8× = 180
8 8
x = 22.5
What is the greatest common factor that can be factored out of the polynomial 64x5 – 16x3 + 80x
Answer:
GCF = 16
Step-by-step explanation:
All 3 coefficients are divisible by 16, and 16 is the greatest factor that can divisible.
Answer:
GCF = 16
Step-by-step explanation:
64/16 = 4
16/16 = 1
80/16 = 5
All of the terms in the polynomial are able to be divided by 16 the GCF.
HELP 100 POINTS PLEASE GET IT RIGHT
Answer:
1.) [tex]5x^{2} -7x+1[/tex]
2.)[tex]2(x^{2} -3x-3[/tex]
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) ([tex]2x^{2}[/tex] - 9x + 4) + ([tex]3x^{2}[/tex] + 2x - 3)
= [tex]2x^{2}[/tex] - 9x + 4 + [tex]3x^{2}[/tex] + 2x - 3
= [tex]5x^{2}[/tex] - 7x - 1
2) [tex]x^{2}[/tex] - 4x - 3 + [tex]x^{2}[/tex] -2x - 3
= [tex]2x^{2}[/tex] - 6x - 6
The dimensions of two square pyramids formed of sand are shown. How much more sand is in the pyramid with the greater volume?
Answer:
Answer: There is 32in² more sand in the pyramid with greater volume.
step explanation:
lily has a stamp collection .she has 54 more U.S stamps than foreign stamps . she has 652 stamps in all.
how many of each type of stamp does lily have? enter the answers in the box.
lily has ____ U.S . stamps and ____ foreign stamps.
Answer:
foreign stamps = 299
US stamps = 353
Step-by-step explanation:
Let number of foreign stamps be x.
Given she has 54 more U.S stamps than foreign , US stamps = x +54
Total stamps = US + Foreign
652 = x + 54 + x
652 - 54 = 2x
598 = 2x
x = 299
help me please i’m stuck
Answer:
a)
x²+2x
b)
2x²-5x
c)
6x²+8x
d)
6x²-12xy
hopefully i understand it correctly because my engilish is not the best
Part A The measure of ∠AFC is 120°, and the measure of ∠BFC is 95°. Which equation can you use to find the measure of ∠AFB? 120° + 95° = x 120° – 95° = x 120° + x = 95° x – 120° = 95°
Answer:
x = 120-95
Step-by-step explanation:
The correct equation for the expression is:
∠AFC = ∠AFB+ ∠BFC
Given that
∠AFC = 120°
∠BFC = 95°
Substitute
120= ∠AFB+95
∠AFB = 120-95
If ∠AFB = x
The required equation will be:
x = 120-95
Arrange the expressions in increasing order of their values.
Answer:
The 4th one is the least so you would put that as the first one, then the 2nd one, then the 1st one, then the 3rd one.
Step-by-step explanation:
The fourth one is first because 10 to the power of 0 is 0 times 10 to the power of 1 is still 0 minus 1 to the power of 10 is 1 so 0 minus 1 is -1. The second one is second because 10 to the power of 0 times 10 to the power of 1 is 0, times 1 to the power of 10 is still 0. The first one is third in line because 10 to the power of 0 plus 10 to the power of 1 is 10 times 1 to the power of 10 is 10. The third one is last because its the greatist, 10 to the power of 0 plus 10 to the power of 1 is 10 plus 1 to the power of 10 is 11.
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QUESTION: find the area of the shaded part.
120
10 x 8 = 80
8 x 5 = 40
80 + 40 = 120
Answer:
is it 40
Step-by-step explanation:
6×10=60. 4×5=20
60-20=40
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What is the equation of this trend line enter your answers by fulling in the boxes K= J+
Answer:
K = -2J + 24
Step-by-step explanation:
Find two point of the line
(12,0) ; (10,4)
Use this equation:
(y-y1)/(y2-y1) = (x-x1)/(x2-x1)
(y-0)/(4-0) = (x-12)/(10-12)
y/4 = (x-12)/(-2)
y/4 = (-x+12)/2
y = -2x + 24
An escalator lifts people to the second floor of a building, 30 above the first floor. The escalator rises at a 30 angle. To the nearest foot, how far does a person travel from the bottom to the top of the escalator?
Answer:
[tex]d=60ft[/tex]
Step-by-step explanation:
From the question we are told that:
Height [tex]h= 30ft[/tex]
Angle [tex]\theta=30 \textdegree[/tex]
Generally the equation for Distance traveled is mathematically given by
Since
Distance traveled forms the hypotenuse of a right angle triangle
Therefore
[tex]d=\frac{h}{sin30}[/tex]
[tex]d=\frac{30}{sin30}[/tex]
[tex]d=60ft[/tex]
Missing measure help
Find the midpoint
(1,-8) (-7,0)
Answer:
(-3, -4)
Step-by-step explanation:
Handy fact: the average of two numbers is exactly halfway between them.
To find the midpoint, average the x-coordinates; average the y-coordinates.
(1 + -7)/2 = -6/2 = -3
(-8 + 0)/2 = -8/2 = -4
The midpoint is (-3, -4).
Help, please!! I don’t have much time
Answer:
I might be wrong, but if I did this right it would be D.
Step-by-step explanation:
I'm sincerely sorry if I got this wrong.
Answer:
B. 3.72 x [tex]10^{7}[/tex]
Step-by-step explanation:
The distance between the sun and Mercury is approximately 36,000,000 miles.
Move the decimal point 7 positions to the left so that there is only one digit to the left of it.
Multiply that number by 10 raised to the power of 7
7 is the number of positions that the decimal point was moved.
I do not know this subject too well but hopefully this helps.
A car is 160 inches long. A truck is 75% longer than the car.
How long is the truck?
Find the next 4 terms using inductive reasoning. 2, -6, 18, -54, 162
Answer:
-486, 1458, -4374, 13,122
Step-by-step explanation:
each number is multiplied by -3
A group of twelve friends went bowling. The regular price was $8.00. The bowling alley offered a discount price of $6.00 to college students. Is they paid a total of $80.00, how many paid the regular price and how many got the discount?
Answer:
x = friends that paid discount price = 8
y = friends that paid regular price = 4
Step-by-step explanation:
Let
x = friends that paid discount price
y = friends that paid regular price
x + y = 12 (1)
6x + 8y = 80 (2)
From (1)
x = 12 - y
Substitute x = 12 - y into (2)
6x + 8y = 80 (2)
6(12 - y) + 8y = 80
72 - 6y + 8y = 80
- 6y + 8y = 80 - 72
2y = 8
y = 8/2
y = 4
Substitute y = 4 into (1)
x + y = 12 (1)
x + 4 = 12
x = 12 - 4
x = 8
x = friends that paid discount price = 8
y = friends that paid regular price = 4
Find the side length x. Round answer to the nearest hundredth.
how to find the area of a circle with radius
Answer:
π (radius) square
where π value is 22/7
A train travels 164 miles in 4 hours.
How far does it travel per hour?
Rate
Unit Rate
Answer: 23 12
Step-by-step explanation:
Ali earns $80 in 10 hours. How long would it take him to earn $200?
Answer:
25 hours
Step-by-step explanation:
first you ask yourself that :
if it takes just 10 hrs to make $80 , would it take more or less hours to make $200.
The answer is it will take more hours to make $200,
Based on this idea established: we say if it's giving more then less would divide.
so therefore:
we have
[tex] \frac{200}{80} \times 10 [/tex]
finally we have 25 hours.
Thanks
HELP ME PLEASE! ×∆×
Applying the Pythagorean theorem, solve this triangle.
Answer:
The length of the hypotenuse is the square root of 169, which in turn is 13.
Step-by-step explanation:
Here we have a right triangle with leg lengths 12 m and 5 m. Because this is a right triangle, we can apply the Pythagorean Theorem to find the length of the hypotenuse.
The Theorem states that a^2 + b^2 = c^2. In this particular case,
(12 m)^2 + (5 m)^2 = c^2
which in turn becomes:
144 + 25 = 169. The length of the hypotenuse is the square root of 169, which in turn is 13.