Since the pivot pillar is 1 m above the ground, maximum angle can the seesaw beam move is 26.39°
The maximum angle can be gotten using trigonometric ratios answer the question,
What are trigonometric ratios?Trigonometric ratios are the ratios of the sides of a triangle.
What are angles?Angles are a measure of rotation or bearing.
Given that the seesaw plank is 4.5 m long and the pivot pillar is 1 m above the ground, when the seesaw is at maximum angle, it forms a right angled triangle with the ground.
It also forms a smaller similar triangle with the same maximum angle Ф which is gotten from the trigonometric ratio
sinФ = h/L where
h = height of pivot pillar above ground = 1 m and L = length of midpoint of plank = 4.5m/2 = 2.25 mMaximum angle seesaw beam can moveSo, Ф = sin⁻¹(h/L)
= sin⁻¹(1 m/2.25 m)
= sin⁻¹(1/2.25)
= sin⁻¹(0.4444)
= 26.39°
So, maximum angle can the seesaw beam move is 26.39°
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Help me on this Math Problem! DUE TONIGHT!!
Answer:
see the attachment!
see attachment below.
27.2 in.
Step-by-step explanation:
Using 2 pi r theta over 360°
Arc length =2/3 x pi x 13 in.
=27.227136 in.
A solid with surface area 216 square meters and volume 324 cubic meters is dilated by a
scale factor of k to obtain a solid with surface area 24 square meters.
Find the value of k which leads to an image with the given surface area.
Find the volume of the dislates solid
Answer:
A solid with surface area 216 square meters and volume 324 cubic meters is dilated by a scale factor of k to obtain a solid with surface area 24 square meters. Find the value of k which leads to an image with the given surface area. Find the volume of the dilated solid.
Answer answer please please
Answer: the answer is the second choice .
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Step-by-step explanation: as the second one is bigger than the first one .
. The following set of ordered pairs represents y as a function of x. Which
the following could be
the missing ordered pair?
{(9, 8), (-2, -14), (6, 2), (-3, -16), (_,_}?
Answer: Justice
Step-by-step explanation: The answers justice
The number line shows the locations of points P 0. R. and S 털 HR & -7 -6 = Which points have a distance of 5 units between them? A. point P and point S B. point Q and point R C. point Q and point S D. point R and points
Answer: point P and point S
Step-by-step explanation:
took the test
Answer:
to be honest i don't know sorry
Step-by-step explanation:
6, 2, 8, 4, 9
How would the median change if the 6 was replaced by a 3?
Answer:
4
Step-by-step explanation:
first you put them all in smalet to bigest so it would be 2, 4, 6, 8, 9 but if them 6 was 3 it would be 2, 3, 4, 8, 9
median is the middle numder
Hope This Helped
The minute hand on a watch is 14 millimeters long. In the
of Y
Jourse
of an hour, how much area does it cover? Leave answers in terms of pi
A)
77 mm
B)
2871 mm
c)
497 mm2
D)
19671 mm
Answer:
the answer is the number of the color of the alphabet 2871 mm
9(-5x+8) help Plss …
Answer:
-45x + 72
Step-by-step explanation:
Q) 9(-5x + 8) = ?
→ 9(-5x + 8)
→ (-5x × 9) + (8 × 9)
→ -45x + 72
Thus, the answer is -45x + 72.
-4(x-4)=-44
Please answer this with how you got the answer.
Answer: x = -15
Step-by-step explanation:
Think PEMDAS
First, we factor the parenthesis:
-4 (x-4) = -4(x) + -4(-4)
now we are left with -4x + 16 = -44
Next is to isolate the "x":
to do this, we must subtract 16 from -44
-44 - 16 = 60
now we have -4x = 60
Now we divide both sides by -4 in order to isolate "x"
dividing -4x/-4 = x
diving 60/-4 = -15
the answer is x= -15
Solve th simultaneous equations
3x + y = 17
2x +y = 12
Answer:
I can't I'm blind and Def
Learning Task 2 A. Calculate the mean, median and mode. (3 points each) 1.) 1, 2, 3, 4, 5 2.) 2, 3, 4, 5, 6, 6 3.) 6, 7, 5, 4, 5, 6,2, 5
Answer:
the median will be 5
the mode will be 1300
the mean is I don't know.
Step-by-step explanation:
I don't know exactly but I am trying
The axis of symmetry for the graph of the function f(x)=3x2 bx 4 is x equals three-halves. what is the value of b? −18 −9 9 18
Using the vertex of the quadratic equation, it is found that the value of b is of -9.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
The axis of symmetry is [tex]x = x_v = -\frac{b}{2a}[/tex].
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, we have that the function is defined as follows:
[tex]f(x) = 3x^2 + bx + 4[/tex]
We have that [tex]a = 3, x_v = \frac{3}{2}[/tex], hence the value of b is found as follows:
[tex]x = -\frac{b}{2a}[/tex]
[tex]\frac{3}{2} = -\frac{b}{6}[/tex]
b = -6 x 3/2
b = -9.
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[tex]\sf Solve \;it \; with \; steps:-[/tex]
[tex]\bf 3\left(2x+2\right)=\:4x-10[/tex]
~ frεε
Answer:
[tex]\boxed{\sf \bold{x = -8}}[/tex]
Explanation:
3(2x+2)= 4x -10
apply distributive method: a(b+c) = ab + ac
3(2x) + 3(2) = 4x - 10
multiply
6x + 6 = 4x - 10
subtract both sides by 4x
6x + 6 - 4x = 4x - 10 -4x
simplify
2x + 6 = -10
subtract both sides by 6
2x + 6 -6 = -10 -6
simplify
2x = -16
divide both sides by 2
x = -8
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's solve :} [/tex]
[tex]\qquad \sf \dashrightarrow \:3(2x + 2) = 4x - 10[/tex]
[tex]\qquad \sf \dashrightarrow \:6x + 6 = 4x - 10[/tex]
[tex]\qquad \sf \dashrightarrow \:6x - 4x = - 10 - 6[/tex]
[tex]\qquad \sf \dashrightarrow \:2x = - 16[/tex]
[tex]\qquad \sf \dashrightarrow \:x = - 16 \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:x = - 8[/tex]
[tex] \textsf{Hence, value of x is -8} [/tex]
Which rectangular prism has greater volume?
Some of the cubes might be hidden behind other cubes. Try to visualize all of the cubes.
Answer:
Blue
Step-by-step explanation:
Volume = lwh - Length x Width x Height
Blue = 4 x 3 x 4 = 48 cm³
pink = 2 x 5 x 4 = 40 cm³
Please help I don’t understand how to solve 13 and 14
Answer:
b. 4x + 22
Step-by-step explanation:
(x+5) + (x+5) + (x+6) + (x+6) = 4x + 22
URGENT HELP!!!
In a recent poll, 18% of seniors said they will attend the upcoming prom. Twenty seniors chosen at random were asked if they plan to attend the prom. What is the probability that at most 5 seniors will attend the prom?
Question 3 options:
0.136
0.149
0.758
0.864
Using the binomial distribution, it is found that there is a 0.864 = 86.4% probability that at most 5 seniors will attend the prom.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, we have that:
18% of seniors said they will attend the upcoming prom, hence p = 0.18.Twenty seniors chosen at random were asked if they plan to attend the prom, hence n = 20.The probability that at most 5 seniors will attend the prom is given by:
[tex]P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.18)^{0}.(0.82)^{20} = 0.0189[/tex]
[tex]P(X = 1) = C_{20,1}.(0.18)^{1}.(0.82)^{19} = 0.0829[/tex]
[tex]P(X = 2) = C_{20,2}.(0.18)^{2}.(0.82)^{18} = 0.1730[/tex]
[tex]P(X = 3) = C_{20,3}.(0.18)^{3}.(0.82)^{17} = 0.2278[/tex]
[tex]P(X = 4) = C_{20,4}.(0.18)^{4}.(0.82)^{16} = 0.2125[/tex]
[tex]P(X = 5) = C_{20,5}.(0.18)^{5}.(0.82)^{15} = 0.1493[/tex]
[tex]P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0189 + 0.0829 + 0.1730 + 0.2278 + 0.2125 + 0.1493 = 0.864[/tex]
0.864 = 86.4% probability that at most 5 seniors will attend the prom.
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An airport in Death Valley is 60 feet below sea level, and an airplane is flying at 2000 feet above sea level.
How many feet must the plane descend in order to land?
A.2060
B.2000
C.1940
D.1880
E.1400
Answer:
A
Step-by-step explanation:
Sea level is defined as 0 ft and anything above or below is not sea level so
So . .
If the landing strip is 60 feet below sea level and the plane is flying 2000 feet above sea level just add them together
60 + 2000 =2060According to attachment
B is sea levelA is planeC is airportDistance
AB+AC2000+602060ftSantana is plotting points on a graph.
The ratio of y-value to x-value is 3 to 4 for each point.
What will be the x-value of a point with a y-value of 12?
Evan’s family drove to a theme park for vacation.
They drove the same speed throughout the trip.
The first day, they drove 300 miles in 6 hours.
The second day, they drove 250 miles in 5 hours.
The third day, they arrived at the park after driving for 3 hours.
How many miles did they drive on the third day?
b) Write 25 x 10^6in standard form.
Answer:25,000,000
Step-by-step explanation: add 6 zeroes behind the 25
Two bags of grass seed cover 1,500 square feet of ground. If Mitch’s front yard is 1,850 square feet and his back yard is 5,635 square feet, how many bags of grass seed would he need to buy to completely cover his front and back yard?
Answer:
50
Step-by-step explanation:
Answer:
the answer is 50, it's actually very easy
The perimeter of a rectangle is 48 feet, and the length is 16 feet. what is the area?
Answer: [tex]128ft^2[/tex]
Step-by-step explanation:
If the 16ft is the sum for both sides already means the first length is 8ft and also the second length is 8ft. then since there are 32 ft more left, you divide it by two since there were two widths left, the values of the two widths are 16ft each. so the sum of the two widths is 32ft. and that's the final answer.
[tex]Length=16[/tex]
[tex]Perimeter=48[/tex]
[tex]Using ~the ~formulas:[/tex]
[tex]A=wl[/tex]
[tex]P=2(l+w)[/tex]
[tex]Solving ~for~A:[/tex]
[tex]A=P\frac{l}{2} -l^2=48[/tex] × [tex]\frac{16}{2} -16^2=128ft^2[/tex]
write algebraic expressions to represent the following:
a) the sum of x and y b) the product of m and 7
c) the cost of 3 movie tickets at m dollars each d) 3 less than n, all divided by 4
Answer:
a) x + y
b) m x 7 or 7m
c) m x 3 or 3m
d) [tex]\frac{n - 3}{4}[/tex]
Step-by-step explanation:
a) the sum of x and y
- the sum most likely always means addition
b) the product of m and 7
- the product usually means multiplucation
c) the cost of 3 movie tickets at m dollars each
- so your getting 3 movie tickets at $m
the total would be m + m + m which is the same as mutiplying m by 3
d) 3 less than n, all divided by 4
- 3 less than n
less than usually means subtraction
than divided by 4
[tex]\rule{200}{2}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
write algebraic expressions to represent the following:
a) the sum of x and y b) the product of m and 7
c) the cost of 3 movie tickets at m dollars each d) 3 less than n, all divided by 4
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
First, "the sum of" indicates that we add.
Since we're asked to find the sum of x and y, we need to add them:-
x+yNow, the "product of" indicates that we multiply.
So we multiply m times 7, which can be written as follows:-
7mIf we have 3 movie tickets, and each of them costs m dollars, then in order to find the cost of all 3 movie tickets, we need to find the product of the total number of tickets times the cost of one ticket:-
So we multiply 3 times m, or
3mNow, "3 less than n" indicates that we subtract 3 from n; this expression is divided by 4, or:-
[tex]\bold{\dfrac{3-n}{4}}[/tex]Good luck with your studies.[tex]\rule{200}{1}[/tex]
There are 8 pink beads and 22 purple beads on Myra's necklace. What is the ratio of the number of purple beads to the number of pink beads?
____ to _____
Answer:
22 to 8
Step-by-step explanation:
purple beads-> 22
pink beads-> 8
ratio of purple beads to pink beads-> 22:8
Mr. Greg had $300 to
purchase equipment
for summer camp. He
bought 6 basketballs
and 6 soccer balls.
Each basketball cost
$16.98, and each
soccer ball cost
$13.79.
Answer:
c
Step-by-step explanation:
6 x 16.98 = 101.88
+ 6 x 13.79 = 184.62
300 - 184.62 = 115.38
Answer:
$115.38
Step-by-step explanation:
6×$16.98=$101.88=cost of basketballs
6×$13.79=$82.74=cost of soccer balls
cost of basketballs + cost of soccer balls = total cost
$101.88+$82.74=$184.62
money to purchase - total cost = leftover money
$300.00 - $184.62 = $115.38
hope this helps
please can i get brainliest
NEED HELP ASAP
3(x+2)=18
Answer:
x=4
Step-by-step explanation:
3x + 6 = 18
3x = 18 - 6 = 12
x = 4
find all the positive integers less than 1000 that are divisible by 2,3,5 and 7
(PLEASE HELP) Reflect (-5,1) in the x axis followed by the y axis.
Answer:
(-5, -1)
Step-by-step explanation:
Find its x-coordinate.
Answer:
2.5
Step-by-step explanation:
The formula to find the midpoint of a line segment: [tex](\frac{1}{2}x_{1} + \frac{1}{2}x_{2}, \frac{1}{2}y_{1} + \frac{1}{2}y_{2})[/tex]
Where:
[tex]x_{1} = -5\\x_{2} = 10\\y_{1} = 9\\y_{2} = 8[/tex]
1) Substitute the values into the midpoint formula.
[tex](\frac{1}{2}*-5 + \frac{1}{2}*10, \frac{1}{2}*9 + \frac{1}{2}*8)[/tex]
2) Solve it.
= [tex](-2.5 + 5, 4.5 + 4)[/tex]
= (2.5, 8.5)
If angles a & b are vertical angles and the measure of angle a is 123 degrees and the measure of angle b is 3x, what is the value of x?
Answer:
x = 41
Step-by-step explanation:
vertical angles are congruent , then
3x = 123 ( divide both sides by 3 )
x = 41