Calcylate the volume of this regular solidWhat is the volume of the rectangular prism
6 cm
5 cm
9 cm​

Answers

Answer 1
Answer:

Answer:

V = 270 cm³

Step-by-step explanation:

Remember your volume formula: V=lwh

So, plug in all your variables and multiply:

(6)(5)(9) = 270

And we have our final answer!


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Use graphs and tables to find the limit and identify any vertical asymptotes of limit of 1 divided by the quantity x minus 3 as x approaches 3 from the left.
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What is 2x+10=3x-50 on vertical opp angles

Answers

Answer:

Step-by-step explanation:

2x+10 = 3x - 50
2x-3x = -60
- x = -60

x =60 degree
130 degree are the vertical opp angles

The equation of the line of best fit of a scatter plot is y = 6x − 9. What is the slope of the equation? –6 –9 9 6

Answers

Answer:

D. 6

Step-by-step explanation:

The line of best fit represents the relation between two variables, usually indicated as x and y, where "x" is the independent variable and "y" is the dependent variable.

The general form of equation of the line of fit y = mx + b, where "m" represents the slope and b represents the y-intercept.

The given line of best fit of a scatter plot is y = 6x - 9

Now compare the given equation with the general and find the slope.

When we comparing, we get m = 6 which is the slope of the given equation.

Therefore, answer is D. 6

6 is the answer because it is 6x therefore the gradient increases by 6 each time

The leg of the isosceles triangle is two less than three times the length of its base. If the perimeter of the triangle is 45 m, find the length of a leg

Answers

The length of the legs of this isosceles triangle is 19 meters.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know an isosceles triangle has two equal sides and their opposite angles are also equal.

Given, The leg of the isosceles triangle is two less than three times the length of its base.

Assuming the base to be x meter,

∴ The other two legs are (3x - 2).

The perimeter of the triangle is 45 m and we know it is the sum of the lengths of all the sides.

So,  (3x - 2) + (3x - 2) + x = 45.

7x - 4 = 45.

7x = 49.

x = 7.

So, the length of the legs are (3.7 - 2) = 19 meters.

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Answer:

19 m

Step-by-step explanation:

base=x

leg=3x-2

3x-2+3x-2+x=45

7x-4=45

7x=49

x=7

leg=3x+2=3(7)-2=19

Which of the following intervals represents the set (1,4) u [2,6]?a. (1,6]
b. (4,6]
c. [2,4)
d. (2,6]

Please show work,

Thanks!

Answers

(1;\ 4)\ \cup\ [2;\ 6]=(1;\ 6]\n\nAnswer:A.
Set is a sum of two intervals :(1,4) u [2,6] 
In the first interval it is open on both sides so 1 and 4 don't belong to this interval, the second is closed so both 2 and 6 belong to interval and numbers between 2 and 6
We can write it as 1<x\leq 6
summing both sets we have one set: (1,6]
so
a) represent our set
b) also represent because all numbers between 4-6 and 6 are in our set
c)also represent, all numbers are in main set
d)also represent

I need help with point slope formula bad

Answers

Ok so this question:
y + 1 = - ( x - 2 )        (distribute the negative inside the parenthesis)
y + 1 = -x + 2             (substitute the y= -1)
-1 + 1 = -x + 2
0 = -x + 2                   (take two to the other side)
-2 = -x                        (divide the negative away from x)
2 = x

For the function y=-3+4cos (5pi/6 (x+4)), what is the minimum value

Answers

interval <-1;1>, which means that this function can take values from interval <-7;-1>. The minimum value is -7.

the min of cos (5pi/6(x+4) = -1

so the min of 4cos 5pi/6(x+4 = -4

so the min of -3 + 4 cos 5pi/6(x+4 = -7

How do you find the minimum value?

If the quadratic equation has a positive term, it also has a minimum value. This minimum can be found by graphing the function or by using one of the two equations. If you have an equation of the form y = ax ^ 2 + bx + c, you can use the equation min = c --b ^ 2 / 4a to find the minimum value.

Rearrange the function using basic algebraic rules and solve the value of x when the derivative is zero. This solution provides the x-coordinates of the vertices of the function where the maximum or minimum values ​​occur. Convert to the original function and solve to find the minimum or maximum value.

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Answer:

-7

Step-by-step explanation:

A P E X