pls help on both questions

Answer:

20/21

Step-by-step explanation:

tanC = opposite/adjacent = 20/21

Answer:

work is shown and pictured

Answer:

It's x > 2 D the last one

Step-by-step explanation:

edge 2021 i got it right on test!

Answer:

Let's denote:

x: the time both trains traveled.

Then, we have:

70x + 80x = 390

=> 150x = 390

=> x = 390/150 = 2.6 hour

Answer:

2.6 hours ( or 2 hours 36 minutes).

Step-by-step explanation:

The combined speed is 70+80 = 150 mph.

Speed = distance / time,  so time = distance / speed.

So the time when they will meet

=  390 / 150

= 2.6 hours.

Answer:

-15

Step-by-step explanation:

work in reverse

-18 is three less than something

that means that something is 3 more than -18

so

add 3 to -18

-18+3= -15

Answer:

Step 2

Step-by-step explanation:

from Step 1      4/3 - 1/3 = 3/3  = 1   =  q   =  q + 1/3 - 1/3

Answer:

A = 113.04 ft² or 36π ft²

Step-by-step explanation:

Area of a circle: πr²

radius: d/2 (12/2 = 6 ft)

π (pi) = 3.14

Solve:

A = πr²

A = 3.14(6)²

A = 3.14(36)

A = 113.04 ft² or 36π ft²

Hope this helps!

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

Answer:

x = -8

Step-by-step explanation:

x/16 + 12/16 = 12+x/16

(12+x)/ 16 = 1/4

Cross-multiply:

4(x+12) = 16

4x + 48 = 16

4x = -32

x = -8

The graph that would be used to represent the situation that has been described here is the second graph.

In the question. the graph started moving from the point 0 upwards . This shows the time she was playing the number of notes in the piano.

After a while, it flat line. That is the time that showed that she was at rest in the graph.

Then when she started to play again, she used the same time as the time she spent in the time that was before she rested.

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Answer:

should be 81°

Step-by-step explanation: They are two corresponding angles, and therefore are equal to each other. If this is wrong, let me know, but im sure its right.

Answer:

∠1 and 81° are corresponding angles and corresponding angles are equal to each other.

Step-by-step explanation:

Using the t-distribution, the test statistic is of t = 2.84.

We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

The parameters are:

In this problem, the values of the parameters are: \(\overline{x} = 76, \mu = 72, s = 13, n = 85\)

Hence:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

\(t = \frac{76 - 72}{\frac{13}{\sqrt{85}}}\)

\(t = 2.84\)

The test statistic is t = 2.84.

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Answer:

the answer is 28 bc 2+2+4+4+8+8=28 so you answer will be twenty eight centi meters

The area of the shaded region of the rectangle is approximately 573.92 square feet.

The figure in the image is that of a rectangle with a semi-circle inscribed in it.

The area of rectangle is expressed as:

Area = Length × Width

The area of semi-circle is expressed as:

Area = 1/2 × πr²

To determine the area of the shaded region, we simply subtract the area of the semi-circle from the area of the rectangle.

Area of shaded region = area of rectangle - area of semi-circle

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

From the image:

Length = 40 ft

Width = 20 ft

Radius r = 12 ft

Plug the values into the above formula:

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

Area of shaded region = ( 40 × 20 ) - ( 1/2 × 3.14 × 12² )

Area of shaded region = ( 800 ) - ( 226.08 )

Area of shaded region = 573.92 ft²

Therefore, the area is approximately 573.92 square feet.

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Answer:

108

Step-by-step explanation:

4−22+135−9

=−18+135−9

=117−9

=108

Answer:

200ft of rope

Step-by-step explanation:

Given:

given polynomial is

Find:

we have to find the correct synthetic divison process for the given polynomial.

Explanation:

since x = 1 is a root of the function.(derived by Hit and Trial method)

as when x = 1, the polymoial becomes

1-1-7+1+6 = -7+7 = 0

Therefore, by using synthetic divisiom. we have

Therefore, correct option is A,

It seems that the sequence you provided is the sequence of triangular numbers. The function that generates this sequence could be defined as:

f(n) = n*(n+1)/2

Where n is the position of the number in the sequence.

So, for example:

f(1) = 1*(1+1)/2 = 1

f(2) = 2*(2+1)/2 = 3

f(3) = 3*(3+1)/2 = 6

and so on.

Answer:

i just kno that D is 0

Step-by-step explanation:

-7 +7=0

The distance between points P and Q is √73

First, remember that the distance between two points whose coordinates are (a, b) and (c, d) is given by:

distance = √( (a - c)² + (b - d)²)

Here we can see that the coordinates of the two shown points are:

P = (-3, 2)

Q = (5, -1)

Replacing that in the distance formula we will get:

distance = √( (-3 - 5)² + (2 + 1)²)

distance = √( (-8)² + (3)²)

distance = √73

So the correct option is the third one.

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Answer:

8/12=0.6

Step-by-step explanation:

Answer:

x + 2

Step-by-step explanation:

The quotient for the given dividend and divisor is x+2. Therefore, option A is the correct answer.

A quotient is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.

Given that, dividend = x²+3x+2 and divisor = x+1

The factorization of x²+3x+2 is

x²+2x+1x+2

= x(x+2)+1(x+2)

= (x+2)(x+1)

Now, x²+3x+2/(x+1)

= (x+2)(x+1)/(x+1)

= (x+2)

So, the quotient is x+2

Therefore, option A is the correct answer.

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According to the given data the value is 22.

Addition is a basic mathematical operation that involves combining two or more numbers to get a total or sum. It is typically denoted by the symbol "+" and can be performed on a variety of numerical values, including whole numbers, decimals, fractions, and even negative numbers.

The value of the addition for 2+4+8+8=22

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Answer:

see explanation

Step-by-step explanation:

the x- intercepts are the values of x where the graph crosses the x- axis

these occur at x = - 2 and x = 2

then x- intercepts are x = - 2 , x = 2

the y- intercept is the value of y where the graph crosses the y- axis

this occurs at y = 4

then y- intercept is 4

x intercept of a graph is the point(s) of the graph that intersects x-axis , y intercept of a graph is the point(s) of the graph that intersects y-axis .

x and y intersepts vary from graph to graph , a graph may have various x and y intersepts , a graph may have one x and y intersepts , or may don't have none of them , or may have only one of the intersepts

_______________________

In this graph

there are two x intersepts and one y intersept

x intersepts :

( 2 , 0 )

( -2 , 0 )

y intersept :

( 0 , 4 )

The cos, tan, sec, csc and cot of the angle θ in quadrant IV are 3/5, -4/3, 5/3, -5/4 and -3/4 respectively

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Given that: sin(θ) = -4/5 and θ is in quadrant 4.

Using this information, we can sketch the location of the angle θ in the quadrant (See the attached image). Therefore:

(a) cos(θ) = 3/5     (adj/hyp)

(b) tan(θ) = -4/3     (opp/adj)

(c) sec(θ) = 1/cos(θ) = 5/3

(d) csc(θ) = 1/sin(θ) = -5/4

(e) cot(θ) = 1/tan(θ) = -3/4

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Step-by-step explanation:

4(-3)-5y=12

-12-5y=12

-5y=12+12

-y= 24/5

y= -24/5

y= -4⅕

hope it helps

The volume of the right rectangular prism is 504 cubic feet.

To find the volume of a right rectangular prism with a base area of 112 square feet and a height of 4½ feet, we can use the formula:

Volume = Base Area x Height

First, we need to convert the height to feet and inches or decimal feet:

4½ feet = 4.5 feet

Now we can substitute the given values into the formula and calculate the volume:

Volume = 112 square feet x 4.5 feet

Volume = 504 cubic feet

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Answer:

7.2 yds²

Step-by-step explanation:

6 × 1.2

7.2 yds²

         - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

\(\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}\)

             Solve x²-5x+6

\(\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}\)

(x-2)(x-3)

\(\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}\)

                      First, we think of two numbers such that

     If we multiply them, we'll get 6

      If we add them, we'll get -5

These numbers are -2 and -3.

Write them here:

(x-2)(x-3)

Now, how do we get (x-2)(x-3) from x(x-2)-3(x-2)?

Notice that (x-2) is the common term, so we factor it out:

(x-2)

And now, we write the other two terms that are left in the parentheses:

(And the terms left are x and -3)

(x-2)(x-3)

Notice that we ended up with the same answer.

           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

The frequency which is to filled in the table is 1, 4, 2 and 4.

Given that;

All shopping time of ten shopkeeper:

25, 29, 25, 18, 24, 28, 36, 25, 33, 37

We have to complete the frequency in the table. Frequency of something is the number of times that number is coming.

Since, Shopping time is given as ,

25, 29, 25, 18, 24, 28, 36, 25, 33, 37

And, Intervals for which frequency is given is ,

18 to 22, 23 to 27, 28 to 32, 33 to 37.

Hence, WE get;

Numbers in the range 18 to 22 = 18  therefore 1

Numbers in the range 23 to 27 = 25, 25, 24, 25 therefore 4

Numbers in the range 28 to 32 = 29, 28  therefore 2

Numbers in the range 33 to 37 = 36, 33, 37,  therefore 3

Hence, the frequency which is to filled are 1, 4, 2 and 4.

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