Lexon is standing 7.05 meters away from the statue off the Merlin mp at Merlin park Singapore the height of her eyes from her feet is 1.55 meters given that the angle of elevation of the top of the statue from her eyes is 42ﾟ find the height of the statue
Answer:
7.9m
Step-by-step explanation:
We solve using the Trigonometric function of Tangent
tan θ = Opposite/Adjacent
Opposite = x
Adjacent = 7.05m
We solve for x
tan 42 = x /7.05m
Cross Multiply
tan 42 × 7.05 = x
x = 6.3478485123m
Approximately = 6.35m
Height of the statue = x + 1.55
Hence, = 6.35m + 1.55m
= 7.9m
The height of the statue = 7.9 meters
The denominator of a fraction is 4 more than twice its numerator. Denominator becomes 12 times the numerator, if both the numerator and the denominator are reduced by 6. Find the fraction.
Answer: [tex]\dfrac{6}{26}[/tex]
Step-by-step explanation:
Given
Denominator is 4 more than twice its numerator
Suppose the numerator is x. So, it follows above condition, fraction becomes
[tex]\Rightarrow \dfrac{x}{2x+4}[/tex]
If both numerator and denominator are reduced by 6, they become equal
[tex]\Rightarrow 12(x-6)=2x+4-6\\\Rightarrow 12x-72=2x-2\\\Rightarrow 10x=70\\\Rightarrow x=7[/tex]
The fraction is
[tex]\Rightarrow \dfrac{x}{4x+2}=\dfrac{6}{4\times 6+2}\\\\\Rightarrow \dfrac{6}{26}[/tex]
A North American river otter wants to cross the North Saskatchewan river. It can swim at a speed of 2.75 m/s. In that location, the distance directly across the river is 45.0 m and the current velocity is 2.5 m/s.
a) How much time does the otter take to get to the other side, if it points directly across the river?
Answer:
time=16.3 sec
Step-by-step explanation:
let time taken be x
speed=distance/time taken
2.75=45/x
2.75x=45
x=45/2.75
x=16.36
x=16.3 seconds
The time taken is 16.3 seconds.
What is speed?Speed = Distance/Time
This informs us how slowly or quickly an object moves. It defines the distance traveled divided by the time brought to cover the distance. Speed stands directly proportional to distance and inversely proportional to Time.
Let x be the time taken
speed = distance/time taken
2.75 = 45/x
2.75x = 45
x = 45/2.75
x = 16.36
x = 16.3 seconds
Therefore, the time taken is 16.3 seconds.
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Which fraction can be equivalent to -3/2?
1. 3/-2
2. -3/-2
3. -(3/-2)
4. -(-3/2
please help :)
Answer:
its c, the minus makes the positive 3 negative and the neg 2 positive
which equation has x=4 as the solution
[tex]-2\sqrt{50x^5} +5\sqrt{18x^5}[/tex]
Answer:
234.98
Step-by-step explanation:
in class notes
Answer both for brainly pro
Help me find the answer for this Acellus question! Find CD.
Answer:
DE = AE - AD
=> DE = 18.5 - 15.5 = 3
CD = CE - DE = 8 - 3 = 5
Which interval or union of intervals represents the values for which f(x) is ≤ 0? Select the correct choice below and fill in the answer boxes to complete your choice.
Answer:
(-∞, -1]∪{5}
Step-by-step explanation:
We know that:
f(x) ≤ 0 is true if the graph of the function is intersecting the x-axis or below the x-axis.
So we can just look at the graph, we can see that in the interval:
(-∞, -1] (the value x = -1 is included, that is why we use the symbol ] instead of the parenthesis)
the graph is below or intersecting the x-axis
and this also happens at x = 5 or just denoted as {5}
Then the correct notation is:
(-∞, -1]∪{5}
make x the subject of the formula
y=a√x
Answer:
y=a√x
y/a=a√x/a a will cancel out on the right side of the equation
therefore, √x=y/a
x=√y/x
What is the probability of getting a tails, vowel and an even number?
Answer:
[tex]\frac{1}{15}[/tex]
This is assuming the die is from 1 - 5
Step-by-step explanation:
Tails: 0.5
Vowel: [tex]\frac{1}{3}[/tex]
Even number: [tex]\frac{2}{5}[/tex]
[tex]\frac{1}{2}* \frac{1}{3} *\frac{2}{5} =\frac{2}{30}=\frac{1}{15}[/tex]
which statement would be true if you evaluate the expression 15x(465x4)
a. the solution is 5 times as small as 3x(465x4)
b. the solution is 3 times as small as 3x(465x4)
c. the solution is 3 times as large as 5x(465x4)
d. the solution is 3 times as large as 5x(465+4)
Answer:
c. the solution is 3 times as large as 5x(465x4)
Step-by-step explanation:
I assume you are using the letter x as the multiplication sign.
Start with:
15 x (465 x 4)
We know that 15 = 3 x 5
Now we replace 15 with 3 x 5 in the original expression.
15 x (465 x 4) = 3 x 5 x (465 x 4)
Answer: c. the solution is 3 times as large as 5x(465x4)
Find the missing side. Round to the nearest tenth. X=?
Answer:
x = 12.2
Step-by-step explanation:
to solve for 'x', we can use the sine ratio of opposite/hypotenuse
we need to find the angle opposite side 'x', which can be found by:
180-(44+90) = 46
sin46° = x/17
x = 17·sin46°
x = 12.2
what is
- l4l equal to?
Answer: -4
Explanation:
Absolute value is the distance that a number is away from zero. Keep in mind that the absolute value is always positive.
However since the negative sign is on the outside of the function , you leave it on the final answer. Therefore the answer is -4
Given m || n, find the value of x and y
X = 21
Y = 30
X:
(3x - 15) + (6x + 6) = 180 -- combine like terms
9x - 9 = 180 -- add 9 to both sides
9x = 189
x = 21
Y:
Plug x into 3x-15
3(21) - 15 = y + 18
63 - 15 = y + 18
48 = y + 18 -- subtract 18 from both sides
y = 30
Which graph represents the solution set of the inequality x + 2 greater-than-or-equal-to 6 A number line goes from negative 9 to positive 9. A solid circle appears on positive 3. The number line is shaded from positive 3 through negative 9. A number line goes from negative 9 to positive 9. An open circle appears at positive 3. The number line is shaded from positive 3 through positive 9. A number line goes from negative 9 to positive 9. A closed circle appears at positive 4. The number line is shaded from positive 4 through positive 9. A number line goes from negative 9 to positive 9. An open circle appears at positive 4. The number line is shaded from positive 4 through negative 9.
The ________ is the distance around a circle.
A. Radius
B. Diameter
C. Circumference
D. area
Answer:
the distance is called the circumference
At 9:30 am, Hudson and Colin leave on a bicycle trip. Their average speed is 20 km/ h. At 11:30 am, Danielle leaves from the same place and starts driving after them in her car. Her average speed is 60 km/ h. Create a system to determine how long will it take Danielle to catch up with Hudson and Colin?
Answer:
Step-by-step explanation:
11:30-9:30=2
so Danielle starts 2 hrs late.
let Danielle catches them after x hrs.
x×60=(x+2)×20
divide by 20
3x=x+2
3x-x=2
2x=2
x=1
so Danielle takes 1 hour to catches them.
What is the volume of a cube with a side length of 3tunits?
Cube V = 93
Answer:
The volume 27.
The volume of a cube:
Volume = side³
The volume of a cube with side 3 units is 27 cubic units.
What is a cube?It is a polygon having six faces.
The volume of a cube:
Volume = side³
Example:
The volume of a cub with a side length of 2 cm is 8 cubic cm.
We have,
Side = 3 units
Volume = Side³
Volume:
= 3³
= 3 x 3 x 3
= 27 cubic units
Thus,
The volume of a cube with side 3 units is 27 cubic units.
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what is the possibility of a two sided coin flipped and lands on tails?
Answer:
Step-by-step explanation:
it has a 50/50 chance if it lands on tailes it is 50/50
Rewrite in simplest rational exponent form √x • 4√x
Answer:
4x
Step-by-step explanation:
[tex]\sqrt{x} \cdot \sqrt{x} = \sqrt{x^2} = x^{ 2 \times \frac{1}{2}} = x[/tex]
[tex]given :\\\\ \sqrt{x} \cdot 4\sqrt{x} = 4 \cdot\sqrt{x} \sqrt{x} = 4 \sqrt{x^2} = 4x[/tex]
According to a survey, 15% of city workers take the bus to work. Donatella randomly surveys 10 workers. What is the probability that exactly 6 workers take the bus to work? Round the answer to the nearest thousandth. P (k successes) = Subscript n Baseline C Subscript k Baseline p Superscript k Baseline (1 minus p) Superscript n minus k. Subscript n Baseline C Subscript k Baseline = StartFraction n factorial Over (n minus k) factorial times k factorial EndFraction
1) 0.001
2) 0.002
3) 0.128
4) 0.899
Answer:
.899
Step-by-step explanation:
find the measures of x and y. I NEED THIS NOWW
Answer:
Solution given:
x+x+24°=90[being complementary angle]
2x=90-24
x=66/2
x=33
again
2x=3y[vertically opposite angle]
y=2*33/3
y=22
Answer:
2x +24 =90
2x =90-24
2x =66
x =33
CAK=24
2X=3Y
3Y=2×33
3Y=66
Y. =22
HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE
Answer:
Step-by-step explanation:
how long will they take to make 504 muffins if they will be using 4 ovens?
Answer:
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Find the surface area of the figure using its net
Q. The ratio 12:27 simplified to the form 1:n is *
a-1:2.25
b-1: 0.4
Answer:
1:2.25
12/12 = 1
27/12 = 2.25
Hope this helps!
Given m||n, find the value of x.
(7x-4)
(3x+28)º
Answer:
8
Step-by-step explanation:
7 x 8 = 56 56 - 4 = 52.
3 x 8 = 24 24 + 28 = 52
land value is increased by 12 % in each year in 2016 , the value is $60000.
i )what us the land value after 4 years
ii) Calculate the increase of the land value during these 4 years.
Answer:
I=use PTR/100
ii =p+i
Step-by-step explanation:
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What is the force on the surface of a square of side 5 m if the pressure acting on it is 25 pascal ?
Answer:
625 N
Step-by-step explanation:
First, find the area of the square.
Area = side x side
= 5 x 5
= 25 m²
Force = pressure x area
= 25 x 25
= 625 N
Hope this helps!
