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2 years ago

Can someone help me solve this problem please! I'd really appreciate it!!

Mathematics

2 answers:

Helga [31]2 years ago

3 0

X=112
Y=90
Explanation: Y is 90 because you can see that it is a right angle! To find X you can find the 3rd angle that is in the triangle with Y in it (which is 68) and then because X is supplementary to that angle we just found you can do 180-68 which is 112!

Solnce55 [7]2 years ago

3 0

Answer:

x = 118°
y = 84°

Step-by-step explanation:

We observe that:

x = y + 22 as exterior angle of the triangle is the sum of non-adjacent interior angles.

Also:

x = 118 as corresponding angles formed by two parallel lines and a common transversal.

Find the value of y:

y = x - 22
y = 118 - 22
y = 84

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The height of a wave in California varies directly with the seconds that pass by. At 4 seconds, the wave is 6 feet high. Find th

Mrrafil [7]

Answer:

k=3/2

Step-by-step explanation:

6=k(4) where k is constant, or

k=6/4 which is equal to k=3/2

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3 years ago

U.S postal service regulations state that a package can be mailed using parcel post rates is it weighs no more that 70 pounds. W

Law Incorporation [45]

5 is the answer for this question
equation 5×12=60 any more would equal 72

4 0

4 years ago

The position function of a particle in rectilinear motion is given by s(t) = 2t3 – 21t2 + 60t + 3 for t ≥ 0 with t measured in s

Norma-Jean [14]

The positions when the particle reverses direction are:

$s(t_1)=55ft\\\\s(t_2)=28ft$

The acceleraton of the paticle when reverses direction is:

$a(t_1)=-18\frac{ft}{s^{2}}\\ \\a(t_2)=a(5s)=18\frac{ft}{s^{2}}$

Why?

To solve the problem, we need to remember that if we derivate the position function, we will get the velocity function, and if we derivate the velocity function, we will get the acceleration function. So, we will need to derivate two times.

Also, when the particle reverses its direction, the velocity is equal to 0.

We are given the following function:

$s(t)=2t^{3}-21t^{2}+60t+3$

So,

- Derivating to get the velocity function, we have:

$v(t)=\frac{ds}{dt}=(2t^{3}-21t^{2}+60t+3)\\\\v(t)=3*2t^{2}-2*21t+60*1+0\\\\v(t)=6t^{2}-42t+60$

Now, making the function equal to 0, to find the times when the particle reversed its direction, we have:

$v(t)=6t^{2}-42t+60\\\\0=6t^{2}-42t+60\\\\0=t^{2}-7t+10\\(t-5)*(t-2)=0\\\\t_{1}=5s\\t_{2}=2s$

We know that the particle reversed its direction two times.

- Derivating the velocity function to find the acceleration function, we have:

$a(t)=\frac{dv}{dt}=6t^{2}-42t+60\\\\a(t)=12t-42$

Now, substituting the times to calculate the accelerations, we have:

$a(t_1)=a(2s)=12*2-42=-18\frac{ft}{s^{2}}\\ \\a(t_2)=a(5s)=12*5-42=18\frac{ft}{s^{2}}$

Now, substitutitng the times to calculate the positions, we have:

$s(t_1)=2*(2)^{3}-21*(2)^{2}+60*2+3=16-84+120+3=55ft\\\\s(t_2)=2*(5)^{3}-21*(5)^{2}+60*5+3=250-525+300+3=28ft$

Have a nice day!

3 0

3 years ago

How many 2.5 inch by 6 inch tiles will fit on a back splash that is 2.5 feet tall and 8 feet long?

Maksim231197 [3]

Area of each of the tiles = (2.5 * 6) inches^2
   = 15 inches^2
Now we have to get down to the case of the backsplash
1 feet = 12 inches
Then
Length of the back splash = 8 feet
   = (8 * 12) inches
   = 96 inches
Height of the back splash = 2.5 feet
   = (2.5 * 12) inches
   = 30 inches
Then
Area of the back splash = ( 30 * 96) inches^2
   = 2880 inches^2
So
The number of tiles required to fit in the back splash = 2880/15
   = 192
So 192 tiles will be required to fit in the back splash. I hope the procedure is clear enough for you to understand.

8 0

3 years ago

Read 2 more answers

Simplify 2(x-4)+7(x+4)

Irina-Kira [14]

It would 9x+20 because u have to distribute

5 0

3 years ago