Triangle PQR, triangle RST and two angle measures are shown below

Line segment QT intersects line segment PS at point R.
What is the value of x?

(look at picture to get a better understanding)

Answer:

Your question is a little unclear if it wants meters or feet because it has everything listed in nicely feet then you say "(in meters)" at the bottom.

If it wants feet, the answer is

[tex]s=-16t^2+80t+10[/tex]

If it wants meters, the answer is

[tex]s=-4.8768t^2+24.384t+3.048[/tex]

Step-by-step explanation:

To solve, use the quadratic equation.

[tex]y=ax^2+bx+c[/tex]

It wants the x-axis to represent time (t) and the y-axis to represent position (s)

[tex]s=at^2+bt+c[/tex]

It gives us a formula that tells us what a, b, and c equal.

[tex]s=(-1/2)gt^2+v_0t+s_0[/tex]    where g is gravity, v_0 is the initial velocity, and s_0 is the initial starting position.

From here, it is just a plug and chug to get the final answer.

[tex]s=(-1/2)(32)t^2+80t+10\\s=-16t^2+80t+10[/tex]

If it wants everything in meters, just convert feet to meters at every step. You can search to find that 1 meter=3.28084 feet.

Answer:

X=11/5

Step-by-step explanation:

Hope your cheating is nice

Answer:

[tex]x=\cfrac{11}{5}[/tex]

Step-by-step explanation:

[tex]25+30=15x+10x\\15x+10x=25+30\\25x=25+30\\25x=55\\\cfrac{25x}{25}=\cfrac{55}{25}\\x=\cfrac{11}{5}[/tex]

Answer:

m<1 =30

Step-by-step explanation:

[tex] < 1 + 117 + 33 = 180 \\ < 1 + 150 = 180 \\ < 1 = 180 - 150 \\ < 1= 30[/tex]

Answer:

A

Step-by-step explanation:

companies can squeeze workers more than normal

Answer:

1/4

1/2

3/5

7/8

11/4

13/4

11/2

Answer:

[tex]A = 25\pi[/tex]  or  25 × 3.14 = 78.5m

Step-by-step explanation:

The radius is half of the diameter. So the radius = 5m  (10/2)

[tex]A = \pi r^{2}[/tex]

[tex]A = \pi (5^{2} )[/tex]

[tex]A = 25\pi[/tex]

The explicit formula for calculating the sum is

[tex]S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}[/tex]

The sum of the nth term of a sequence is expressed as;

[tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex]

a is the first term

d is the common difference

n is the number of terms

For the sequence  0 + 1 + 2 + 3  +...

[tex]S_n=\frac{n}{2}(2(0)+(n-1)1)\\S_n= \frac{n}{2}(n-1)\\S_n= \frac{n(n-1)}{2}[/tex]

Similarly for the sequence:

1 + 2+ 3 + 4+...

[tex]S_n=\frac{n}{2}(2(1)+(n-1)1)\\S_n= \frac{n}{2}(2+n-1)\\S_n= \frac{n(n+1)}{2}[/tex]

Taking the product of the sum to get the explicit formula for calculating the sum

[tex]S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}[/tex]

Learn more here: https://brainly.com/question/24547297

Answer:

Solution

verified

Verified by Toppr

f,g:R→R is defined as

f(x)=x+1

g(x)=2x−3

Now, (f+g)(x)=f(x)+g(x)=(x+1)+(2x−3)=3x−2

∴(f+g)(x)=3x−2

Now, (f−g)(x)=f(x)−g(x)=(x+1)−(2x−3)=x+1−2x+3=−x+4

∴(f−g)(x)=−x+4

(

g

f

)(x)=

g(x)

f(x)

,g(x)



=0,x∈R

∴(

g

f

)(x)=

2x−3

x+1

,2x−3



=0 or 2x



=3

∴(

g

f

)(x)=

2x−3

x+1

,x



=

2

3

Answer: 28 adults

Step-by-step explanation: 1 3/4 tons is 3500 pounds which I divided by 124 pounds which gave me the answer 28

Answer: 2/3 (answer in decimal form = 0.6)

Step-by-step explanation: The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly. Then do the rest of the operations.

Answer:

x=11

Step-by-step explanation:

We know that angles on a straight line equal 180 degrees, so we know that 8x+10+7x+5 = 180.

Simplify

15x+15=180

Solve

Take away 15 from both sides

15x = 165

Divide 165 by 15

x = 11

Answer:

m <5=91 is the correct response to this question

Using proportions, it is found that the central angle of the walking sector is of 36º.

Hence, the rule of three is:

1 - 360º

0.1 - x

Applying cross multiplication:

[tex]x = 360(0.1) = 36[/tex]

The central angle of the walking sector is of 36º.

A similar problem is given at https://brainly.com/question/24372153

Answer:

Sorry need points

Step-by-step explanation:

Answer:

142 watermelon

Step-by-step explanation:

10/71 = 20 / w

w = 20(71/10) = 142

The coordinates of the six vertices of the prism are listed below:

The number of vertices of a prism with a polygonal base ([tex]n[/tex]) is described by the following expression:

[tex]n = 2\cdot s[/tex] (1)

Where [tex]s[/tex] is the number of sides of the base.

If we know that [tex]s = 3[/tex], then the number of vertices of the prism are:

[tex]n = 2\cdot 3[/tex]

[tex]n = 6[/tex]

A prism with triangular base has six vertices, let suppose that the triangle of the base is right-angled. and coincides with a right-hand rectangular coordinate system. Then, we can conclude that the coordinates of the six vertices are the following:

We kindly invite to check this question on prisms: https://brainly.com/question/8828506

Answer:

a

Step-by-step explanation:

Answer:

I think its x = 8

Step-by-step explanation:

There are 8 white long rectangles so I would think x = 8

but there are 9 little white squares so it could be 8 + 9  but

Answer:

x= 6/7

Step-by-step explanation:

becuase 7x -3x -2 + 1 = 8-3-3x + x

is simplified to 5x  -1 = 5-2x

+2 on both sides

7x-1 =5

+ 1 on both sides

7x=6

divde both by 7

x= 6/7

Answer:

Step-by-step explanation:

no i will nt help u cheat on your test

Answer:

7/3

Step-by-step explanation:

integral of equation is x^3/3-6x^2/2+5x/1

the answer will be

7^3/3-3*7^2+5*7-0= 343/3-147+35= 7/3

Answer:

you plus them together then you get 42 out of your number you close during / N which is 3 to get your final answer thank

Answer:

5x12=60,+6=66

Step-by-step explanation:

Answer:

66 months

Step-by-step explanation:

12months x 5= 60

60 + 6= 66

Answer:

3/151

Step-by-step explanation:

That's the answer

Answer:

8y⁴+25y³+60y²+10y+7

Step-by-step explanation:

8y⁴+y³+y²+24y³+3y²+3y+56y²+7y+7

8y⁴+25y³+60y²+10y+7

Answer:

8y^4+25y^3+60y^2+10y+7

Step-by-step explanation:

(y^2+3y+7)(8y^2+y+1)

We are going to multiply the first term, y^2, by the whole second part (8y^2+y+1)

8y^4+y^3+y^2

now we multiply the 2nd term, 3y, by the whole second part (8y^2+y+1))

24y^3+3y^2+3y

now we do the same to the last term, 7.

56y^2+7y+7

now we need to add all three of our products together

(8y^4+y^3+y^2)+(24y^3+3y^2+3y)+(56y^2+7y+7)

adding like terms:

8y^4+y^3+24y^3+y^2+3y^2+56y^2+3y+7y+7

we get:

8y^4+25y^3+60y^2+10y+7

[tex]3 \times 25\% \times 40 = 3 \times \dfrac{25}{100} \times 40 = 3 \times 10 =30[/tex]

The value of the numerical expression 3 × 25% × 40 will be 30.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 3 × 25% × 40

Simplify the expression, then the value of the expression will be given as,

⇒ 3 × 25% × 40

⇒ 3 × 0.25 × 40

⇒ 30

The value of the numerical expression 3 × 25% × 40 will be 30.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

Please double check the question

y = 2√2 is not on the unit circle

The exact measure of the angle is 45°. If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where y=2√2,

A Unit circle is defined as a circle having a radius of 1 unit and having its center at the origin.

We know that the terminal side passes through a point of the form (√2/2, y).

Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:

[tex]1=\sqrt{(\dfrac{\sqrt{2}}{2})^2+y^2}[/tex]

[tex]1^2=\dfrac{2}{4}+y^2[/tex]

[tex]1-\dfrac{1}{2}=y^2[/tex]

[tex]Y=\dfrac{1}{\sqrt{2}}[/tex]

We know that y is positive because the point is on the first quadrant.

Now, we know that our point is:

(√2/2, 1/√2)

And we can rewrite:

√2/2 = 1/√2

So the point is:

( 1/√2,  1/√2)

Finally, remember that a point (x, y), the angle that represents it is given by:

θ = Atan(y/x).

Then in this case, we have:

θ = Atan(1/√2/1/√2) = Atan(1) = 45°

If you want to learn more about angles, you can read:

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