Answer:
The height of the statue is 217 m
Step-by-step explanation:
The hill is 25 ft above the ground,
you are standing 53 ft from the base of the hill,
angle of depression from the top of the angle to where you stand is 12.4°
Let us designate the total height from the base of the hill to the top of the statue as y.
This problem will then form a right angle triangle problem, with the base as the opposite side to the angle, and the total height of the statue and the hill as the adjacent side.
given the opposite as 53 ft,
and the adjacent as y,
and angle ∅ = 12.4°
we use tan ∅ = opp/adj
tan 12.4 = 53/y
0.219 = 53/y
y = 53/0.219 = 242 m
But this height y from base of the hill to the top of the statue is equal to the height of the hill from the base which is 25 ft, and the height of the statue from the top of the hill. This means
y = 242 = 25 + n
where n is the height of the statue.
242 = 25 + n
n = 242 - 25 = 217 m
What is the angle of rotation from figure A to figure A? Assume that the center of rotation is the origin.
A. 360° clockwise
B. 270° clockwise
C. 180° clockwise
D. 90° clockwise
Answer:
the answer is C. 180°clockwise
Marked price of a pen is Rs 20. It is sold at a discount of 15%. Find the selling price?
Answer:
Rs 17Step-by-step explanation:
Solution,
Marked price ( MP ) = Rs 20
Discount % = 15%
Selling price ( SP ) = ?
let's find the discount amount:
Discount amount = Discount % of MP
plug the values
= 15% of 20
Calculate
= Rs 3
Discount amount = Rs 3
Now, let's find the SP
Selling price ( SP ) = MP - discount amount
plug the values
= Rs 20 - Rs 3
Calculate the difference
= Rs 17
Hope this helps..
Best regards!!
The value of a plot of land is S18 000.00.
Land tax is charged at the rate of S0.70 per
$100.00 value. What is the TOTAL amount
of tax paid for the land?
Answer:
$126
Step-by-step explanation:
The plot of land is worth $18,000 and the tax on the land is $0.70 per $100. You would divide 18000 by 100 which is 180. Then you would multiply 180*0.70 which is $126.
Step-by-step explanation:
Here, given that;
The total value of land us $18000.00
tax per $100.00 is $0.70
now,
$100.00 taxes $0.70
$18000.00 taxes ($18000.00÷100)/$0.70 (as in question given that the tax is charged in each $100)
= $126.
is the required tax amount.
Hope it helps..
Find the volume of the cuboid which length is 10cm, breadth is 8cm and height is 7cm. Who answers first gets brainliest answer
Answer:
560cm
Step-by-step explanation:
Volume = Length × Breadth × Height
= 10 × 8 × 7
= 560 cm³
Answer:
Step-by-step explanation:
Volume =length x breadth x height
10 x 8 x 7=560cm^3
Please answer now correct answer fast
Answer:
[tex] Area = 112.1 m^2 [/tex]
Step-by-step Explanation:
Given:
∆WXY
m < X = 130°
WY = x = 31 mm
m < Y = 26°
Required:
Area of ∆WXY
Solution:
Find the length of XY using Law of Sines
[tex] \frac{w}{sin(W)} = \frac{x}{sin(X)} [/tex]
X = 130°
x = WY = 31 mm
W = 180 - (130 + 26) = 24°
w = XY = ?
[tex] \frac{w}{sin(24)} = \frac{31}{sin(130)} [/tex]
Multiply both sides by sin(24) to solve for x
[tex] \frac{w}{sin(24)}*sin(24) = \frac{31}{sin(130)}*sin(24) [/tex]
[tex] w = \frac{31*sin(24)}{sin(130)} [/tex]
[tex] w = 16.5 mm [/tex] (approximated)
[tex] XY = w = 16.5 mm [/tex]
Find the area of ∆WXY
[tex] area = \frac{1}{2}*w*x*sin(Y) [/tex]
[tex] = \frac{1}{2}*16.5*31*sin(26) [/tex]
[tex] = \frac{16.5*31*sin(26)}{2} [/tex]
[tex] Area = 112.1 m^2 [/tex] (to nearest tenth).
Please Help!!!
Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.
Dance World: y = 15x
Toe Tappers: y = 25 + 12.5x
How many classes would Gina need to take for the total cost to be the same at both dance studios?
A: 10
B: 15
C: 100
D: 150
Answer:
The correct answer is A: 10
Step-by-step explanation:
We know that for Dance World the equation is y=15x and for Toe Tapper it is y=25+12.5x
Make a chart with both dance companies and compare the solutions to each equation. Like the one below.
Dance World / Toe Tappers
A:10 $150 / $150
B:15 $225 / $212.5
C:100 $1500 / $1275
D:150 $2250 / $1900
In conclusion, A:10 is the correct answer as both dance companies cost the same for 10 classes.
Sorry if this is really late, this is for the people who have the same question and need an answer too.
Answer:
A 10
Step-by-step explanation:
Set the equations equal to each other:15x = 25 + 12.5x
Solve for x2.5x = 25
x= 10
p(a)= .5, p(b)= .4, and p(a and b)= .15. what is p(a OR b)
Answer:
Step-by-step explanation:
Hello
p(A∪B) = p(A) + p(B) - p(A∩B) = 0.5 + 0.4 - 0.15 = 0.9 - 0.15 = 0.75
hope this helps
HELP I WILL GIVE 50 POINTS AND BRAINLIEST TO WHOEVER ANSWERS FIRST Graph y>1−3x.
Answer:
The last graph
Step-by-step explanation:
This is because when there is a greater than sign, the line on the graph is dotted and the shaded area is facing upwards. I try to remember that when there is a greater than sign or a greater than or equal to sign, the shaded area faces up towards the sky.
Hope this helps. Please inform me if my answer is wrong.
Answer:
The last graph is correct
Step-by-step explanation:
Hello,
First of all, you need to identify the line y = -3x + 1
This is a line so two points are enough to identify it.
-3*0+1 = 1 so (0,1) is a point of this line and
-3*1 + 1 = -2 so (1,-2) is another point of this line.
I attached a graph of this line.
Now, the inequality is y > 1-3x
It means that we are looking for the part of the plan which is (strictly) above this line.
This is not ( [tex]\geq[/tex] ) inequality but a strict equality ( > ) so the points of the line are not included, so the last graph is the correct one.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
ruth and terry planted tulip and crocus bulbs for 6 h. ruth planted 5 crocus bulbs in the time it took terry to plant 3 bulbs. how long would it take terry alone to complete the job
Answer:
16 hours
Step-by-step explanation:
In the time it took Ruth to plant 5 bulbs, Terry planted 3 bulbs. So, Terry did 3/8 of the work of planting 8 bulbs in that time.
We expect that Terry alone would take 8/3 of the time that it took when working together with Ruth.
(8/3)×(6 hours) = 16 hours . . . . . . for Terry to do the job alone
Which statements must be true about the reflection of
AXYZ across MN? Select three options.
A. m< X’ Z’ Y’= 90°
B. m< MCY= 90°
C. XX = YY
D. BZ = BZ
E. XY || X’ Y’
Answer:
abd
Step-by-step explanation:
The true statements about the reflection shown in picture attached are :
M∠X'Z'Y' = 90°
M∠X'Z'Y' = 90°m∠MCY = 90°
M∠X'Z'Y' = 90°m∠MCY = 90°BZ' ≅ BZ
What is reflection?Reflection is a type of transformation that flips a shape in a mirror line (also called a line of reflection) so that each point is the same distance from the mirror line as its reflected point.
here, we have,
When reflection of a preimage occurs, the image produced is congruent to the preimage because reflection produces isometric images. This means that both the preimage and image are similar in shape and size.
Since m∠XZY = 90°, will be congruent with the angle m∠X'Z'Y' ; Hence, m∠X'Z'Y' = 90°
The segment MN and YY' are perpendicular, hence forming a right angle. m∠MCY = 90°
B is the midpoint between ZZ'. Hence, the distance between BZ' and BZ will be the same. BZ' ≅ BZ
From the image produced, XY and X'Y are not parallel
Learn more on reflection :
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Complete question:
Which statements must be true about the reflection of ΔXYZ across Line M N? Select three options. M∠X'Z'Y' = 90° m∠MCY = 90° XX' ≅ YY' BZ' ≅ BZ XY || X'Y
Please answer the question in the image below ASAP
27 - (2 + 3) - 10 ÷ 2
Answer:
27_5_10/2
27_5_5
22_5
17
plz help me x+y=7
x=3-y
Answer:
no solution
Step-by-step explanation:
x+y=7
x=3-y
Substitute the second equation into the first
(3-y) +y = 7
Combine like terms
3 = 7
This is never true so there is no solution
Answer:
[tex]\boxed{\mathrm{No \: solution}}[/tex]
Step-by-step explanation:
x + y = 7
Plug x = 3 - y
3 - y + y = 7
Combine like terms.
3 = 7
No solution.
I NEED HELP PRONTO PLZZZ HELP ME
Answer:
12 ÷ 4
Step-by-step explanation:
Let's try to solve the given expression to see if it matches with any of the options guven..
[tex] \frac{1}{4}*12 [/tex]
[tex] = \frac{1*12}{4} [/tex]
[tex] = \frac{12}{4} [/tex] (this is equivalent to 12 ÷ 4, which is given in the question)
Thus,
12 ÷ 4 equivalent to [tex] \frac{1}{4}*12 [/tex]
Please help me with this question!! TRIGONOMETRY
Work Shown:
sin(angle) = opposite/hypotenuse
sin(35) = 10/x
x*sin(35) = 10
x = 10/sin(35)
x = 17.434467956211 make sure your calculator is in degree mode
x = 17.4
Answer:
[tex]\boxed{17.4}[/tex]
Step-by-step explanation:
sin [tex]\theta[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]
sin (35) = [tex]\frac{10}{x}[/tex]
x = [tex]\frac{10}{sin(35)}[/tex]
x = 17.4344679562...
x ≈ 17.4
PLEASE HELP NOW WILL MARK BRAINLEST FOR CORRECT ANSWER A Brazilian town near the Amazon River has experienced 7% annual decrease in size of rainforest as trees are cut down and forest is converted to farmland. In the year 2009, there were about 28,000 acres of rainforest in town. a. Write an exponential model that relates the number of acres of rainforest y as a function of t years since 2009. b. How many acres of rainforest remained in 2013 (that is, in year 4)? Show work.
Answer:
a. y = 28,000×(1 - 0.07)^t
b. 20,945.46 acres
Step-by-step explanation:
a. The annual percentage decrease in in size of rainforest = 7%
The size of the rainforest in 2009 = 28,000 acres
The exponential decay formula is y = C×(1 - r)^t
Where:
y = Final Amount
C = Initial amount = 28,000 acres
r = Rate of Change = 0.07
t = Time
Which gives;
y = 28,000×(1 - 0.07)^t
b. In 2013 (year 4, t = 4), the amount of rainforest remaining is therefore;
y = 28,000×(1 - 0.07)^(4) = 28,000×0.93^4 = 20,945.46 acres
The size of the rainforest that remained in 2013 is 20,945.46 acres.
Answer:
20(-3)
Step-by-step explanation:
Examine the graph and the map.
On the left, a bar graph titled Deforestation Trend in the Amazon Rainforest. The x-axis is labeled Acres in kilometers squared of Rainforest Lost. The y-axis is labeled Year from 2004 to 2016. 2004 lost 27,772 acres. 2005 lost 19,014 acres. 2010 lost 7,000 acres. 2012 lost 4.571 acres. 2016 lost 7,989 acres. On the right, a map titled Deforestation of the Amazon Rainforest by 2016. The Amazon River is labeled. A key notes deforestation by 2016, amazon forest in 2016, and non-forest vegetation. Labeled clockwise are Roraima, Amapá, Maranhäo, Pará, Tocantins, Mato Grosso, Rondônia, Acre, and Amazonas. Acre, Amazonas, Roraima, Amapá, Maranhäo, Mato Grosso and Rondônia are deforested by 2016. Pará, Maranhäo, Tocantins, Mato Grosso, and Rondônia have the Amazon forest in 2016. Mato Grosso, Tocantins and Maranhäo have majority of non-forest vegetation.
Which is the best conclusion about the Amazon rainforest that can be drawn from these sources?
Deforestation in the Amazon has accelerated since 2004.
Deforestation in the Amazon is no longer an important issue.
Despite population growth, the Amazon rainforest is increasing in size.
Despite positive trends, the Amazon rainforest remains in danger of destruction.
Evaluate the following: 3 to the power 2 ÷ (2 + 1). 2 3 4 5
Answer:
3
Step-by-step explanation:
$i^5+i^{-25}+i^{45}$[tex]$i^5+i^{-25}+i^{45}$[/tex]
[tex]i^5+i^{-25}+i^{45}[/tex]
Rewrite the term [tex]i^{-25}[/tex]
[tex]=i^5+\dfrac{1}{i^{25}}+i^{45}[/tex]
Expand each term so we have
[tex]=i(i^2)^2+\dfrac{1}{i(i^2)^{12}}+i(i^2)^{22}[/tex]
Use the fact that [tex]i^2=-1[/tex]
[tex]=i(-1)^2+\dfrac{1}{i(-1)^{12}}+i(-1)^{22}[/tex]
Use the fact that [tex](-1)^{a}=1[/tex] when a is an even number
[tex]=i+\dfrac{1}{i}+i[/tex]
Simplify
[tex]=i-i+i[/tex]
[tex]=i[/tex]
Let me know if you need any clarifications, thanks!
Answer:
1/i +2i
Step-by-step explanation:
i^5+i^-25+i^45 i^2=-1
i^4*i +i^-24*i^-1 +i^44 *i
(i²)² i+ (i²)^-12*i^-1+(i²)^22 *i since i²=1
i+i^-1+i=
i+1/i +i=1/i +2i
What is the shape name
please do fast.
Answer:
[tex]\boxed{\sf Parallelogram}[/tex]
Step-by-step explanation:
A parallelogram has opposite parallel sides and it is a quadrilateral.
Answer:
This is a parallelogram
Step-by-step explanation:
This is also a quadrilateral.
Hope this helps.
A circle has a radius of 21 inches. What is the length of the arc intercepted by a central angle that measures 4π/7 radians? Express the answer in terms of π .
Answer:
12π inches
Step-by-step explanation:
s = rθ
s = (21) (4π/7)
s = 12π
The length of the arc will be;
⇒ Arc = 37.68 inches
What is Circle?
The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The central angle = 4π/7
And, A circle has a radius of 21 inches.
Now,
We know that in circle;
⇒ Arc = Radius × Angle
Substitute all the values, we get;
⇒ Arc = 21 × 4π/7
⇒ Arc = 3 × 4 × 3.14
⇒ Arc = 37.68 inches
Thus, The length of the arc will be;
⇒ Arc = 37.68 inches
Learn more about the circle visit:
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in a certain town there are 30000 registered voters, of whom 12000 are Democrats. A survey organization is about to take a simple random sample of 1000 registered voters. a) the expected value for the percentage of Democrats in the sample is
Answer:
400.
Step-by-step explanation:
The following data were obtained from the question:
Total number of Registered voters = 30000
Total number of Democrats = 12000
Next, we shall determine the percentage of Democrats in the registered voters.
This can be obtained as follow:
Percentage of Democrats = number of Democrats / Total number of registered voters x 100
Percentage of Democrats = 12000/30000 x 100
Percentage of Democrats = 40%
Now, we can obtain the expected value of percentage of Democrats in the 1000 sample as follow:
Percentage of Democrats = 40%
Total number of Sample = 1000
Number of Democrats in the sampl=..?
Percentage of Democrats = number of Democrats in sample / Total number of sample x 100
40% = number of Democrats in sample/1000
Cross multiply
Number of Democrats in sample
= 40% x 1000
= 40/100 x 1000
= 400
Therefore, the expected number of Democrats in the sample is 400.
Write 985 in the standard form and find its
Product of divisors
,Sum of divisors.
Answer:
Step-by-step explanation:
985 = 5 * 197 = 1 * 5 * 197
The product of the divisors is 985
The sum is 203
The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown. (Figure is not drawn to scale.) Which of the following options is closest to the distance (in miles) between points A and B?
6.71 miles
7.35 miles
8.66 miles
10.82 miles
Answer:
3rad5
Step-by-step explanation:
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {a }^{2} + {6}^{2} = {9}^{2} \\ {a }^{2} + 36 = 81 \\ {a}^{2} + 81 - 36 \\ {a}^{2} = 45 \\ \sqrt{a} = \sqrt{45} \\ a = 3 \sqrt{5} [/tex]
Answer:
It's A.) 6.71 miles
Step-by-step explanation:
I just took the quiz. May I have Brainiest???
If f(x)= x/2 -2 and g(x) = 2x² + x - 3, find (f + g)(x).
O A. x²-6
O B. 2x²+ 3/2x +1
O C. 2x² - x/2 +1
O D. 2x² + 3/2 x-5
Answer:
Step-by-step explanation:
Its d
a) A and B are the subsets of a universal set U in which there are n (U) = 54,
n (A) = 32, n (B) = 22 and n (
AB) = 9.
(i) Draw a Venn-diagram to illustrate the above information.
(ii) Find the value of n (AUB).
Step-by-step explanation:
I DON'T KNOW WHICH ANSWER IS CORRECT .
BUT MY ANSWER CAME THIS .
I HOPE IT WILL HELP YOU.
HAVE A NICE DAY.....
Anyone knows this ans? I will mark them BRAINLIEST... The one who ans first and gives complete ans...thanks for helping!
Answer: a.5r-7=2r+8
We move all terms to the left:
5r-7-(2r+8)=0
We get rid of parentheses
5r-2r-8-7=0
We add all the numbers together, and all the variables
3r-15=0
We move all terms containing r to the left, all other terms to the right
3r=15
r=15/3
r=5
a) r = 5
b) t = 5/3
c) a = 1
d) x = 0
How to solve an eqution:
Equation solving is So easy you just need to follow the instructions.
i) First arrange the no. in one side and variable in one side.
ii) The sign will change if we change the no. or variable between equal =. Like + change into - and × change into ÷ .
iii) Use the BODMAS and just go ahead.
Solution:
Just Click on _______
PLEASE HELP!
Line R is represented by the following equation: x + y = 2
Which equation completes the system that is satisfied by the solution (1, 1)?
2x + y = 2
4x − 2y = 2
2x − 2y = 2
x + y = 4
Answer:
4x - 2y = 2
Step-by-step explanation:
Given that (1, 1 ) is a solution then it must satisfy the equation
Consider the equations given
2x + y = 2 → 2(1) + 1 = 2 + 1 = 3 ≠ 2 ← not True
4x - 2y = 2 → 4(1) - 2(1) = 4 - 2 = 2 ← True
2x - 2y = 2 → 2(1) - 2(1) = 2 - 2 = 0 ≠ 2 ← not True
x + y = 4 → 1 + 1 = 2 ≠ 4 ← not True
Thus
4x - 2y = 2 completes the system.
Solve the following question
The difference of two numbers is 12 and their sum is 20 find the numbers
Answer:
16 and 4
Step-by-step explanation:
Let (x+y) =20 and (x-y)=12 then:
Isolate for x in each equation
x=20-y and x=12+y
Set the equations to equal each other since the value of x should be the same for both
20-y = 12+y
Rearrange so that y is on one side and the numbers are on the other
8 = 2y
y= 8/2
y= 4
Now substitute the y- value back into either of the original equations
x+y= 20
x+4 = 20
Rearrange and isolate x
x = 20-4
x = 16
So the two values are 16 and 4
asap help !!
How much additional interest is earned if $8000 is invested for 7 years at 6.5% when
interest is compounded annually, as compared with simple interest paid at the same
rate?
Answer:
put it in a calculator, 8,000 times whatever number u need
please help with this question, I am quite confused
Answer:
Step-by-step explanation:
A-domain (-∞,∞)
B- Range(0,∞) the range is the set of values tat correspond with the domain
C- the y intercept (0,1) , y intercept is when x =0 (2/3)^0=1
D-the horizontal asymptote is x-axis y=0
E- the graph is always decreasing
F-it depend on the base