Solve. 2(2z – 4) = 4​

Answer:

Step-by-step explanation:

5x = 2x +9

3x = +9

x = 3

AB= 5(3)= 15

BC = 2(5) + 9=10 +9=19

AC = 15 + 19 = 34

Answer:

x = 3√7

Step-by-step explanation:

The Pythagorean theorem states that in a right triangle, the sum of the legs squared and added together is equal to the hypotenuse (the longest side and the one across the 90° angle)

If the legs are a and b, respectfully, and the hypotenuse is c, the equation would be:

a² + b² = c²

Let's apply this to the problem given.

9² + x² = 12²

Simplify.

81 + x² = 144

Subtract 81 from both sides.

x² = 63

Take the square root.

√(x²) = √63 = √(9 * 7) = √(3² * 7)

x = 3√7

Check the answer.

9² + (3√7)² = 12²

81 + 9 * 7 = 144

81 + 63 = 144

144 = 144

Thus, the answer is correct.

I hope this helps! Feel free to ask any questions! :)

Answer:

The total cost of the tablet is $840

Step-by-step explanation:

Here, we want to calculate the total cost

Let the total cost be $x

From the ratio, the total ratio is 3 + 4 + 1 = 8

so,;

3/8 * x = 315

3x = 8 * 315

x = 8/3 * 315

x = 8 * 103

x = 840

Answer:

x= -3

Step-by-step explanation:

-5x+3=18

-3 on both sides

-5x=15

divide by -5 on both sides

x= -3

Answer:

X= -3

Step-by-step explanation:

-5x+3=18 subtract 3 from both sides this removes the +3 from the left side and makes the 18 into 15

-5x=15 Divide both sides by -5

x=-3

Answer:

x = 4

y = 13

Step-by-step explanation:

x + y = 17

y = 2x + 5

substitute for y:

x + (2x + 5) = 17

reduce:

3x + 5 = 17

subtract 5 from each side:

3x = 12

divide both sides by 3:

x = 4

y = 2(4) + 5

y = 13

Answer:

6/14

Step-by-step explanation:

In total there are 14 counters. And 6 of them are yellow so the probability is 6/14 (it can also be 3/7 when simplified)

Hi!

Let's first expand the cotangent of theta.

You'll probably know that tangent will be "y/x", or [tex]\frac{sin(x)}{cos(x)}[/tex], and cotangent is the reciprocal of this, meaning that it is "x/y" or [tex]\frac{cos(x)}{sin(x)}[/tex].

That means that we are now given this equation.

[tex]cos(x)\frac{cos(x)}{sin(x)}+sin(x)[/tex]

That'll multiply to:

[tex]\frac{cos^2(x)}{sin(x)}+sin(x)[/tex]

We'll want a common denominator to add by multiplying [tex]sin(x)[/tex] to both top and bottom of the second term:

[tex]\frac{cos^2(x)}{sin(x)}+\frac{sin^2(x)}{sin(x)}[/tex]

[tex]\frac{cos^2(x)+sin^2(x)}{sin(x)}[/tex]

Pythagorean Identity states that [tex]sin^2(x)+cos^2(x)=1[/tex], so substitute that in:

[tex]\frac{1}{sin(x)}[/tex]

Which simplifies to:

[tex]csc(x)[/tex]

Hope this helps!

Answer:

28.278ft^2

Step-by-step explanation:

Given data

Diameter of painting= 6ft

Radius= 3ft

Let us find the area of the painting

Area= πr^2

Substitute

Area= 3.142*3^2

Area= 3.142*9

Area= 28.278ft^2

Answer:

>

Step-by-step explanation:

because

16/24 > 9/24 :)

Answer:

0.25

Step-by-step explanation:

Answer:

×= 5hrs

Step-by-step explanation:

Daisy 9 hrs

Bella my son 5hrs

Answer:

950

Step-by-step explanation:

854+96=950 I need more characters so ingnor this sentence.

Given:

Dimensions of a cuboid = 36 cm × 75 cm × 80 cm.

To find:

The edge of a cube whose volume is equal to the volume of the given cuboid.

Solution:

We know that the volume of a cuboid is

[tex]Volume=length\times breadth \times height[/tex]

[tex]V_1=36\times 75 \times 80[/tex]

[tex]V_1=216000[/tex]

The volume of a cube is

[tex]Volume=a^3[/tex]

Where, a is the side length of the cube.

The volume of cube and cuboid are equal. So,

[tex]a^3=216000[/tex]

[tex]a=\sqrt[3]{216000}[/tex]

[tex]a=60[/tex]

Therefore, the measure of edge of the cube is 60 cm.

Answer:

41.67πunits³

Step-by-step explanation:

Since we are not asked what to find, we can as well  look for the volume of the cone.

Find the diagram of the cone attached

Volume of the cone = 1/3πr²h

h is the height of the cone

r is the radius of the cone

Volume of the cone = 1/3π(5)²(5)

Volume of the cone= 1/3π(125)

Volume of the cone = 125π/3

Volume of the cone = 41.67πunits³

Answer:

11

Step-by-step explanation:

So the sum of the angles is 18 × 90 = 1620

the formula to find number of sides is n which is sides - 2 into 180 equals sum of interior angles

(n-2)*180 = 1620

n-2 = 1620/180

n- 2 = 9

n = 11

hope this helped

Answer:

456 ft.sq

Step-by-step explanation:

Here's your solution

=> Divide the whole figure in two parts

=> Area of trapezium = 1/2*sum of parrel sides*distance between them

=> Area of trap. = 1/2*( 24 + 11) *24

=> Area = 1/2*35*24

= > Area = 35*12. =. 420 ft.sa

=> Area of square = side*side

=> Area = 6*6

=> Area = 36 ft.sq

=> Total area of figure = 420 + 36

456 ft.sq

Answer:

8) 2.5 meters

9) 56 fluid ounces

Step-by-step explanation:

You need to know all the conversion factors.

Answer:

No mode​

Step-by-step explanation:

The mode is the statistical method in which the most repetitive number should be considered

Like if we take an example

1,1, 2, 2, 2, 4, 4,4,4

So here the mode is 4 as 4 is repeated 4 times

But in the given situation there is no mode as every number is written single time

Answer:

Its 180!

Step-by-step explanation:

Answer:

c and d

Step-by-step explanation:

Answer:

54%

Step-by-step explanation:

Answer:

Explained in detail below

Step-by-step explanation:

4/28 = 1/7 = 1:7

Answer:

Step-by-step explanation:

Answer:

x = 60°

y = 72°

z = 48°

Step-by-step explanation:

x = 180 - p = 180 - 120 = 60

Since y;z = 3:2 ,   2y = 3z  or z = 2y/3

Now, x + y + z = 180

60 + y + 2y/3 = 180     Multiply thru by 3 to remove the fraction

180 + 3y + 2y = 540

180 + 5y = 540

5y = 360

y = 72

z = 2(72)/3 = 48

Check:  60 + 72 + 48 = 180

Answer:

x = square root of 55

x^2 = 8^2 - 3^2

x^2= 64 -9

x = square root of 55

Answer: I would say 4 square feet

Step-by-step explanation:

Pls give brainliest