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Answer:

a = ± 5

Step-by-step explanation:

Given

a² + 12² = 13² , that is

a² + 144 = 169 ( subtract 144 from both sides )

a² = 25 ( take the square root of both sides )

a = ± [tex]\sqrt{25}[/tex] = ± 5

Answer:

0

Step-by-step explanation:

The whole thing cancels out because if you move -10x on the left to the right they will cancel out because -10x+10x=0.

Now, you have -10=-10 and so move the -10 to the right and it becomes positive so you get -10+10 which equals 0.

Answer:

Step-by-step explanation:

Each signal unit cubes are 1 cm to each side

the dimensions of the large cube is 4 by 6 by 3      width height and depth

a) volume of the cube   Vol = area of the base times height  

              area of the base = the width times the depth  

              Volume = Base Depth

                            =  Width x Depth x Height

                            =      4 x 3 x 6

                            =       12 x 6

                Vol      =   72 cm ³

b )  the volume of the smaller cuboid has different dimensions    

             the smaller cube is 2 by 2 by 1      width height and depth

          Volume = Base Depth

                            =  Width x Depth x Heigh

                            =    2 x 2 x 1  

 Vol smaller cuboid    =   4

      How many smaller cubes can be made?

            The obvious answer might be to straight up divide the large cube volume by the smaler cuboid volume. That might work IF all of the cuboid dimensions divide evenly into the cube dimensions.

  Number of cuboid  =   Volume of the cube  /  Volume of the cuboid

                                  =             72 / 4

                                  =        18

Check this answer by dividing the dimension of the cube by the cuboid

         4 by 6 by 3

         2 by 2 by 1

      (4/2) by (6/2) by (3/1)

        2    by    3   by     3       = 2 x 3 x 3     =    18

Answer:

Step-by-step explanation:

an = 3 + (n-1)11

an = 3 + 11n - 11

an = -8 + 11n OR 11n - 8

Hope that helps!

Answer:

find the last SIMPLIFIED number

11 x 5 = 55

55 simplfiied = 27.5

Step-by-step explanation:

sorry if this is wrong. i tried my best trying to look for the answer

Answer:

x^2 -4x -21

Step-by-step explanation:

Here, we want to write a quadratic polynomial

We have the sum as -4

Let us have x as the variable

so the sum of the variables is -4x

while the product is -21 x^2

Two factors of 21 that can work here is -7x and 3x

So we have

x^2 - 7x + 3x -21

= x^2 -4x -21

Answer:

This is your answer ☺️☺️

Value of x is 19 cm.

The area of a trapezium is defined as the number of unit squares that can fit into it . The area of a trapezium can be calculated using the lengths of two of its parallel sides and the distance (height) between them. The formula to calculate the area (A) of a trapezium using base and height is given as,

A = ½ (a + b) h where,

a and b = bases of trapezium, and,

h = height (the perpendicular distance between a and b)

Given

Area of trapezium = 48 [tex]cm^{2}[/tex]

Area of trapezium = [tex]\frac{(AB+DC).h}{2}[/tex]

48 =  [tex]\frac{(AB+DC).h}{2}[/tex]

⇒ 48 = [tex]\frac{(5+x).(4)}{2}[/tex]

⇒ 96 = (5+x).4

⇒ 5 + x = [tex]\frac{96}{4}[/tex]

⇒ 5 + x = 24

⇒ x = 24 - 5

⇒ x = 19 cm

Hence, Value of x is 19 cm.

Find out more information about trapezium here

https://brainly.com/question/4758162

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Answer:

i would chose a or b

Step-by-step explanation:

you want to get the one person that have the most valubale commet so pick random coustimers i wouldnt pick d becuase you are probably going to get the same answer

Answer:

survey 100 randomly selected parents in a theme park

Step-by-step explanation:

random selection.It is considered a fair way to select a sample from a larger population. (since every member of the population has an equal chance of getting selected).

Answer:

just draw the same rectangle as on the left on the right

Step-by-step explanation:

but when finding area instead of unitsx2 use unitsx4

Step-by-step explanation:

a) 4x 12+n = There are no like terms )

b) (4x12) +n = There are no like terms )

c) 4x (12+ n)  = 4nx+48x

d) 4+ (12 x n) =12nx+4

( I hope this was helpful ) >;D

Answer:

(15,23)

Step-by-step explanation:

-4x+3y=9

5x-2y=29

Let's multiply the first equation by 2 and the second equation by 3, in order to have the same coefficient on y.

-8x+6y=18

15x-6y=87

Add these two equations together to eliminate y.

7x=105

x=15

Now, plug in x, to find y.

5(15)-2y=29

75-2y=29

-2y=-46

y=23

Answer:

90 males.

Step-by-step explanation:

To find the answer we will divide 45% by 100, and we get 0.45.  Now multiply 0.45 by 200 and you get 90.  Therefore, 90 males is the answer.

Answer:

$25,300

Step-by-step explanation:

Amount to be paid = interest + amount outstanding

Interest = 0.15 x $2200 = $330

Amount to be paid = $2200 + $330 = $25,300

Answer:

x-int : 6,  y-int : 9

Step-by-step explanation:

Hope this helps :)

Let me know if you want a full explanation

Answer:

8x³ - 2x² - 51x - 45

Step-by-step explanation:

Given

(x - 3)(2x + 3)(4x + 5) ← expand second/third factors using FOIL

= (x - 3)(8x² + 22x + 15) ← distribute

= x(8x² + 22x + 15) - 3(8x² + 22x + 15) ← distribute parenthesis

= 8x³ + 22x² + 15x - 24x² - 66x - 45 ← collect like terms

= 8x³ - 2x² - 51x - 45

Answer:

8x^3-2x^2-51x-45

Step-by-step explanation:

(x − 3)(2x + 3)(4x + 5)

(2x^2+3x-6x-9)*(4x+5)

(2x^2-3x-9)*(4x+5)

= 8x^3-2x^2-51x-45

Answer:

Hat costs 4.00

T-Shirt costs 9.00

Step-by-step explanation:

Let the t-shirt be t and the hat be h

7t+h=67

5t+h=49

Equating by eliminating the h and subtracting

the two equations,

2t=18

t=9.

If t =9 in 5t + h= 49 then

5×9+h=49

45+h=49

h=4

Answer:

Step-by-step explanation:

If the R.H.S. is cot(4A), given question is misprinted.

It should be,

[tex]\frac{1}{\text{tan3A+tanA}}-\frac{1}{\text{cot3A+cotA}}[/tex]

= [tex]\frac{1}{\text{tan3A+tanA}}-\frac{1}{{\frac{1}{\text{tan3A}}+\frac{1}{\text{tanA}}}}[/tex]

= [tex]\frac{1}{\text{tan3A+tanA}}-\frac{1}{\frac{\text{tanA+tan3A}}{\text{tanAtan3A}}}[/tex]

= [tex]\frac{1-\text{tanAtan3A}}{\text{tanA+tan3A}}[/tex]

= [tex]\frac{1}{\text{tan}(A+3A)}[/tex]

= cot(4A) [R.H.S.]

Hence proved.

Answer:

6

Step-by-step explanation:

Answer:

7y+24x = -12

Step-by-step explanation:

Equation of line PQ in point slope form is expressed as;

y -y0 = m(x-x0)

m is the slope of {Q

(x0, y0) is the point on the line

Given the line 7x-24y+10=0

Get the slope

-24y = -7x -10

y = -7/-24 x - 10/-24

y = 7/24 x + 5/12

Slope = 7/24

Slope of the line PQ perpendicular to it = -24/7

Substitute m = -24/7 and (-2, 4) into the formula;

y - 4 = -24/7(x+2)

7(y-4) = -24(x+2)

7y - 28 = -24x-48

7y + 24x = -40 + 28

7y+24x = -12

This gives the equation of the line PQ

Answer:

87

Step-by-step explanation:

So there are 5 numbers listed. You can obviously see the two small sides are 9. They are the same size. Then you have the three 9s on the top. This is important. So far we are at 75ft. The complication comes in at what is the unknown side. Well if you see the three 9s on top. Two are going horizontal along with the 30. So 9+9 is 18. 30-18 is 12. So that side is 12. Answer is 87.

Hope this helps

Answer:

The top answer is LMP = LOP by SSS

The bottom answer is line CB = line FE

Answer: 1,325.4

Step-by-step explanation: look it up first, before going to brainly

Answer:

270 blinks in 30 minutes

Step-by-step explanation:

9 x 30 = 270

hope this helps :)

Answer:

Step One: Divide both sides by 2

Step Two: Add 3 to both sides

Step Three: Multiply both sides by 1/6

Step-by-step explanation:

For step one, we can see that half of 12 is 6, half of 6 is 3 and half of 10 is 5.

For step two, we add 3 to the left to cancel out the -3 and add 3 to the left to make 8.

By process of elimination, we can see that C matches up to step 3.

Hope this helps you :)

Answer:

B, D

Step-by-step explanation:

Answer:

(4w) > 28

Step-by-step explanation:

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