Answer: The swimmer is 26 ft (approximately) away from the lifeguard
Step-by-step explanation: Please refer you the attached diagram.
The lifeguard sitting on the platform is labeled as point P, and the swimmer down below is at point S. The point G is the point directly beneath the lifeguard. So, we have a right angled triangle PSG. Also the angle of depression is 18 degrees, so the angle of sight between the lifeguard and the ground is 72 degrees (that is, 90 - 18 = 72).
Having derived a right angled triangle with two sides and a reference angle, we can now use the trigonometric ratio which is;
CosP = Adjacent/Hypotenuse
The adjacent is the side that lies between the reference angle and the right angle (side PG), while the hypotenuse is the side facing the right angle (side PS). Hence;
Cos72 = 8/g
By cross multiplication we now have
g = 8/Cos72
g = 8/0.3090
g = 25.8899
Approximately, g = 26 ft.
Solve 7z + 4 - 5z > 8 + 12
The solution is ____
This is on Big Ideas Math if anyone has this math problem.
Answer:
z>8
.....................
Write the equation in standard form for the circle x2+y2–49=0.
Answer:
2x+2y=49
Step-by-step explanation:
tell me if this is wrong
Please Help!!!! need it just right now
Answer:
A. y = x² + 12x - 8Step-by-step explanation:
The u-shaped function should have:
positive leading coefficienteven degreeThe only function with mentioned parameters is:
y = x² + 12x - 8Correct option is A
The other options don't fit:
B. Even degree with negative leading coefficientC. Odd degreeD. Odd degreeWrite 3-5 sentences about the process of the Difference of squares Factoring Method
Solve the system of equations -3x+7y=-18 and 4x-4y=8 by combining the equations.
Explaining Is Required
Answer:
[tex]\huge \colorbox{red}{(x,y)=(-1,-3)}[/tex]
Step-by-step explanation:
multiply first equation by 4 and second by 3 respectively:
[tex] \begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}[/tex]
combine the equations:
[tex] \underline{ \begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}} \\ \displaystyle16y = - 48[/tex]
divide both sides by -48:
[tex] \displaystyle \: \frac{16y}{16} = \frac{ - 48}{16} \\ y = - 3[/tex]
substitute the value of y to the second equation
[tex] \displaystyle \: 4x - 4. - 3 = 8[/tex]
simplify multiplication:
[tex] \displaystyle \: 4x + 12 = 8[/tex]
cancel 12 from both sides:
[tex] \displaystyle \: 4x = - 4[/tex]
divide both sides by 4
[tex] \displaystyle \: \frac{4x}{4} = \frac{ - 4}{4} \\ x = - 1[/tex]
therefore our solution is
[tex]\displaystyle (x,y)=(-1,-3)[/tex]
Answer:
Solution given:
-3x+7y=-18
3x-7y=18.................[1]
4x-4y=8
4(x-y)=8
x-y=[tex] \frac{8}{2} [/tex]
x-y=2..........….........[2]
multiplying equation 2 by 3 and subracting equation 1 and 2,we get
[tex]3x-7y - 3x + 3y = 18 - 6[/tex]
-4y=12
y=[tex] \frac{12}{ - 4} [/tex]=-3
substituting value of y in equation 2,we get
x-(-3)=2
x=2-3
x=-1
:.
x=-1
y=-3
Pls help me with the answer to question 3
Algebra 2
Please help!
Will give brainliest if it’s correct!
Write the equation of the line in slope-intercept form passing through the points (-4,2) and (1,12)
Answer:
y = 2x + 10
Step-by-step explanation:
Find the slope:
12 - 2 / 1 - (-4)
10 / 5 = 2
Write in point-slope form:
y - 12 = 2(x - 1)
rearrange:
y - 12 = 2x - 2
y = 2x + 10
A waffle cone has a volume of 31.254 cubic centimeters and a radius of
2.5 centimeters. What is the approximate height of the cone?
Answer:
4.78 cm
Step-by-step explanation:
The formula for the volume of a cone of radius r and height h is
V = (1/3)πr²h. Here, V = 31.254 cm³ and r = 2.5 cm.
We begin by solving V = (1/3)πr²h for the unknown height, h:
31.254 cm³ 3(31.254 cm³) 93.762 cm³
h = ------------------------ = -------------------------- = -------------------- ≈ 4.78 cm
(1/3)πr² π(2.5 cm)² 19.635 cm²
Is w = 1 a solution to the inequality below?
w>27?
yes or no?
Answer:
no
Step-by-step explanation:
w would have to be bigger or greater than 27. 1 is less than
Answer: yes, 1> 27 is an inequality. This states 1 is greater than 27, which is incorrect the correct solution would be w<27.
hope this helps :)
There are 150 children at an art camp. 71 signed up for painting. 62 children signed up for sculpting and 28 of them also signed up for painting. Create a two-way table using the given data.
Answer:
99/150= 62/150
Step-by-step explanation:
What is the slope of the line ??
Answer:
slope = 2
Step-by-step explanation:
slope is...
rise/run
this is rising by 2 and going to the right by 1
2/1=2
Al principio Eduardo y Adrián tenían el mismo número de dulces. Eduardo le dio a Adrián la mitad de los dulces que tenía. Después, Adrián le dio a Eduardo la mitad de los dulces que tenía él en ese momento, así que a Adrián le quedaron 12 dulces. ¿Cuántos dulces tenía Eduardo al final? *
Answer:
Al final, Eduardo tenía 20 dulces.
Step-by-step explanation:
Dado que al principio Eduardo y Adrián tenían el mismo número de dulces, y Eduardo le dio a Adrián la mitad de los dulces que tenía, y después, Adrián le dio a Eduardo la mitad de los dulces que tenía él en ese momento, así que a Adrián le quedaron 12 dulces, para determinar cuántos dulces tenía Eduardo al final se debe realizar el siguiente cálculo:
Eduardo 1X = Adrián 1X
Eduardo 0.5X = Adrián 1.5X
Eduardo 1.25X = Adrián 0.75X
0.75 X = 12
X = 12 / 0.75
X = 16
1.25 X = 16 x 1.25 = 20
Así, al final, Eduardo tenía 20 dulces.
a coin is tossed and a dice is rolled. What is the probability of getting tails with rolling a 2?
Answer:
50% for the coin and 1/6 chance for the dice
One copy of a new book by Amanda's favorite author cost $9.45. If a total of 2,740 copies of the book were sold on the first day of the book's release, what were the total sales that day?
Answer:
$25893
Step-by-step explanation:
Answer:
$25,893
Step-by-step explanation:
Take a factor out of the square root:
Answer:
[tex]-y\sqrt{3}[/tex]
Step-by-step explanation:
Under the radical there is a perfect square, one can take the perfect square out, and write it by its square root. The result of taking the principal square root is always positive, but it is given that the perfect square factor is negative, thus, one must multiply the square root by the negative sign to ensure that the result is positive.
Answer:
[tex]-y\sqrt{3}[/tex]
Step-by-step explanation:
hii please help i’ll give brainliest
Answer:
A :) Sorry if it's wrong, I'm learning this too
help me this is hard
Answer:
I guess it's whole; because it first appears there.
expand: 0.25(xy+4z+5)
Answer:
0.25xy+z+1.25=0
Step-by-step explanation:
Marnita is collecting seashells she starts bher colletion with 16 shells and everyday walks on the beach and finds 4 more how many seashells will she have after 6 days?
What is the
approximate value of x?
Answer:
There is no work shown
Step-by-step explanation:
So you find the derivative root X you'll get 1 over 2 X to the power 1 by 2 and exactly after that you write the formula for the approximation.
What is the shaded area ? Help Asas please !..
Answer:312
Step-by-step explanation:
What is the volume of a hemisphere with a radius of 60.7 m, rounded to the nearest tenth of a cubic meter?
Answer:
468408.4m
Step-by-step explanation:
The guy above knows
The volume of a hemisphere with a radius of 60.7 m is 468170.95 cubic meter.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, a radius of a hemisphere is 60.7 m.
Half of a sphere, or a hemisphere, is a three-dimensional (3D) shape. The form we obtain when a sphere is split by a plane going through its centre is known as a hemisphere. A hemisphere has one flat circular base and a curving surface. The quantity of unit cubes that can fit inside a hemisphere is known as its volume.
We know that, the volume of a hemisphere is (2/3)πr³.
Here, volume is 2/3 ×3.14×60.7³
= 2/3 ×3.14×223648.543
= 468170.95 cubic meter
Therefore, the volume is 468170.95 cubic meter.
To learn more about the volume visit:
https://brainly.com/question/13338592.
#SPJ3
Solve the simultaneous equation:
2x+3y=13
X+2y=9
Answer:
2x + 3y = 13
4x - y = -2
In the second equation, subtract 4x from both sides.
-y = -2 - 4x
Divide both sides by -1.
y = 2 + 4x
Put this into the first equation in place of y.
2x + 3(2 + 4x) = 13
Multiply everything in the parenthesis by 3.
2x + 6 + 12x = 13
Combine like terms.
14x + 6 = 13
Subtract 6 from both sides.
14x = 7
Divide 14 on both sides.
x = 7 / 14
x = 0.5
Put this into the second equation in place of x.
4(0.5) - y = -2
2 - y = -2
Subtract 2 from both sides.
-y = -4
Divide both sides by -1.
y = 4
So x = 0.5 and y = 4.
Step-by-step explanation:
which is grater .856 or .8561
Answer: .8561
Step-by-step explanation: If you make them the same number by adding a 0 to .856 it would look like
.8561
.8560
Answer:
I think it would be .856
Step-by-step explanation:
0.5 is greater than 0.05. There are many ways to deduce this:
The more the # of zeroes after the decimal point the smaller the number is. Suppose there are x number of extra zeroes after the decimal point in number a than number b. Then, b is 10^x times larger than a.
Multiply both numbers by 100. we can see 0.5*100 (=50) > 0.05*100 (=5)
Fractionalize both numbers, we get 0.5=(5/10) but 0.05=(5/100). This makes 0.05<0.5
Thanks for reading. Hope this helps. And maybe can i have brainliest?
(2.5) to the power of 2 in expanded form is ? answer please ASAP pleaseeee
Answer:
2.5*2.5
Step-by-step explanation:
the power of 2 means multiply that many times, so you would multiply 2.5 by itself twice, or 2.5*2.5. Simplified this is 6.25
Please help!! Find the radius r.
A mad scientist is trying to turn herself into a superhero in her lab at point B. There is an explosion and
anyone within a radius of 8 miles from the lab turns into a superhero. Unfortunately, anyone between 8 and
10 miles from the blast turns into an evil villain. If the population is evenly distributed over the total area,
are there more evil villains or more superheroes?
Answer:
superheros
Step-by-step explanation:
area of the 8 milrs- 201.06sq miles
area of 10 miles- 314.16sq miles
subtract the 210.06 from 314.16, 104.1
so, 210.06 square miles of heros, 104.1 square miles of villians
The triangles on the grid below represent a translation.
On a coordinate plane, triangle A B C is shifted 5 units up to form triangle A prime B prime C prime.
Which translation is shown on the grid?
a horizontal translation only
a vertical translation only
a horizontal translation followed by a vertical translation
a vertical translation followed by a horizontal translation
Answer:
B. Vertical Translation only
Step-by-step explanation:
:>
The triangle ABC is vertically translated only. Then the correct option is B.
What is a transformation of geometry?A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Reflection does not change the size and shape of the geometry.
Rotation does not change the size and shape of the geometry.
Translation does not change the size and shape of the geometry.
On a coordinate plane, triangle ABC is shifted 5 units up to form triangle A'B'C'.
The diagram is given below.
From the diagram, we can clearly observe that the triangle ABC is vertically translated only.
Then the correct option is B.
More about the transformation of geometry link is given below.
https://brainly.com/question/22532832
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Can you please help me find the volume of this shape ?
Answer:
The answer is 1710
Step-by-step explanation:
To find the volume of a shape, multiply the length by width by height.
V = LxWxH
Answer:
810in^3
Step-by-step explanation:
(6*19)/2 = 54
54*15 = 810