The diagram shows a right-angled triangle.
17 cm
hcm
40°
What is the value of h?
Give your answer correct to 1 decimal place.

Answer:

x=13/8

Step-by-step explanation:

group like terms together

Answer:

[tex](x - y)(x + y + 1)[/tex]

Step-by-step explanation:

[tex]x(x + 1) - y(y + 1)[/tex]

[tex]=> x^{2} + x - y^{2} - y[/tex]

Lets re-arrange it.

[tex]=> x^{2} - y^{2} + x - y[/tex]

Now , lets expand x² - y².

[tex]=> (x + y)(x - y) + (x - y)[/tex]

Taking ( x - y ) common ,

[tex]=> (x - y)(x + y + 1)[/tex]

Answer:

[tex]x(x + 1) - y(y + 1) \\ → {x}^{2} + x - {y}^{2} - y \\→( {x}^{2}- {y}^{2}) + (x - y) \\→ (x - y)(x + y) + (x - y) \\→ \boxed{ (x - y)(x + y + 1)}✓[/tex]

Answer: I think its x = 38

Step-by-step explanation:

Answer:

9/7

Step-by-step explanation:

Answer:

______the answer is Y=0.25X+3

Answer:

108 cubic feet

Step-by-step explanation:

V=w·h·l

fill in

V=3·9·4

V=108

Answer:

108 cubic feet is the answer

Explanation

volume = 9*4*3

= 108 cubic feet

Answer:

C.

Step-by-step explanation:

We have 2 probabilities: Theoretical probability and Experimental probability.

We cant know what will happen as it's just probability but both joe and Jill are making educated guesses based on probabilities, just different kinds.

Answer: y = (5x)^2

Step-by-step explanation: You're finding the inverse.

Answer:

The positive integer is 3.

Step-by-step explanation:

Let 'x' be the integer

Given that five times of a positive integer is less than twice its square by 3.

so

5 times of x = [tex]5x[/tex]

3 less than twice of the square of x = [tex]2x^{2} - 3[/tex]

so the equation becomes

[tex]5x = 2x^{2} - 3[/tex]

[tex]2x^2-5x-3=0[/tex]

Factorise

[tex]\left(2x+1\right)\left(x-3\right)=0[/tex]

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]2x+1=0\quad \mathrm{or}\quad \:x-3=0[/tex]

solving

[tex]2x+1=0[/tex]

Subtract 1 from both sides

[tex]2x+1-1=0-1[/tex]

Simplify

[tex]2x=-1[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{-1}{2}[/tex]

Simplify

[tex]x=-\frac{1}{2}[/tex]

Also solving

[tex]x-3=0[/tex]

Add 3 to both sides

[tex]x-3+3=0+3[/tex]

simplify

[tex]x=3[/tex]

Thus, we got integers:

x = 3 or x = -1/2

Therefore, the positive integer is 3.

Answer:

The length of the side of the hexagon is [tex]2\sqrt{3}[/tex] inches.

Step-by-step explanation:

According to this question, we have a regular hexagon with a surface area of [tex]18\sqrt{3}\,in^{2}[/tex]. From Geometry, we know that all regular hexagons can be formed by six regular triangles, since the angle of one complete revolution (360º) divided by the number of triangles is equal to the internal angle of each triangle (60º). Then, the area of each triangle is found after dividing the complete area by the number of regular triangles:

[tex]A_{\triangle} = \frac{18\sqrt{3}\,in^{2}}{6}[/tex]

[tex]A_{\triangle} = 3\sqrt{3}\,in^{2}[/tex]

The area of the triangle as a function of the length of the side of the hexagon ([tex]l[/tex]), measured in inches, is determined by this equation:

[tex]A_{\triangle} = \frac{\sqrt{3}}{4} \cdot l^{2}[/tex] (1)

If we know that [tex]A_{\triangle} = 3\sqrt{3}\,in^{2}[/tex], then the length of the side of the hexagon is:

[tex]\frac{4}{\sqrt{3}}\cdot A_{\triangle} = l^{2}[/tex]

[tex]l^{2} = \frac{4\cdot \sqrt{3}}{3} \cdot A_{\triangle}[/tex]

[tex]l = 2\sqrt{\frac{\sqrt{3}}{3}\cdot A_{\triangle} }[/tex]

[tex]l = 2\sqrt{3}\,in[/tex]

The length of the side of the hexagon is [tex]2\sqrt{3}[/tex] inches.

Answer:

nelther

Step-by-step explanation:

trust me

Answer:

15 divided by 3 = 5

Step-by-step explanation:

21 divided by 3 = 7

6 divided by 3 = 2

Have a Good Day : )

Answer:

5

Step-by-step explanation:

y=x/3

substituting x=15 in the above equation

y=15/3

y=5

Mark me as the brainliest if I helped you, i need it thanksss!!

Answer:

180-45

Step-by-step explanation:

That is, supplementary angles

Answer:

12.056

Step-by-step explanation:

Answer:12.056

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

7 + (-11) basically translates to 7 - 11.  Since the bigger number has the negative sign here, you just have to subtract 11-7 and then add the negative onto the answer.

Answer:

-4

Step-by-step explanation:

7-11

-4

if it is a number + a negative number you remove the +and just subtract

Answer:

angles 1 and 4: 113

angles 2 and 3: 67

Answer:

the angle should be 124° but I'm not sure so I'm sry If i get it wrong

Answer:

No

Step-by-step explanation:

Does anyone have to do DELTA-MATH

Answer: Can you send the question that you have.

Step-by-step explanation:

Answer:

4 blocks down, 2 left

Step-by-step explanation:

Answer:

   yes because it is a terminating decimal

Step-by-step explanation:

Answer:

Step-by-step explanation:ok so if you want too  do the the root symbl on what

Answer:

(- [tex]\frac{8}{5}[/tex], [tex]\frac{46}{5}[/tex] )

Step-by-step explanation:

Given the2 equations

6 - 2x = y → (1)

14 + 3x = y → (2)

Substitute y = 14 + 3x into (1)

6 - 2x = 14 + 3x ( subtract 3x from both sides )

6 - 5x = 14 ( subtract 6 from both sides )

- 5x = 8 ( divide both sides by - 5 )

x = - [tex]\frac{8}{5}[/tex]

Substitute x = - [tex]\frac{8}{5}[/tex] into either of the 2 equations for the corresponding value of y

Substituting into (1)

y = 6 - 2(- [tex]\frac{8}{5}[/tex] ) = [tex]\frac{30}{5}[/tex] + [tex]\frac{16}{5}[/tex] = [tex]\frac{46}{5}[/tex]

solution is ( - [tex]\frac{8}{5}[/tex], [tex]\frac{46}{5}[/tex] )

Answer:

<fgh <gfh

Step-by-step explanation:

y + (2x -12) = 180 (since they are supplementary angles)

(2x-12) = 96 ( since they are alternate exterior angle)

2x = 96 + 12

2x = 108

x = 108/2

x = 54.

y+( 2x-12)=180

y+(2× 54 -12) = 180

y + (108-12) = 180

y + 96 = 180

y= 180-96

y = 84.

Answer:

Angle A = 65

Angle B = 78

Step-by-step explanation:

This is a triangle, and the total angles in a triangle is 180 degrees. What you can do is make all of the angles equal 180 and then solve for x.

180 = (2x +4) + (2x - 9) + x

180 = 2x +4 + 2x - 9 + x

180 = 4x -5 +x

180 = 5x - 5

185 = 5x

37 = x

Now, plug in x to solve for the angles.

Answer:

Second Job

Step-by-step explanation:

I would take the second job because you will make more. And it has sick time in addition to vacation.

First job:

$15x40=$600 then add in overtime which will be paid at $22.50 (time and half) so $22.50x5=$112.50. Add the two together $600+112.50=$712.50 weekly.

Second job:

$38,000/52=$730.77 weekly

Answer:

The equation of the line passing through the points (4, 6) and (0, 6) will be:

The graph of the equation y = 6 is also attached.

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given the points

Finding the slope between (4, 6)and (0, 6).

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [6 - 6] / [0 - 4]

               = 0 / -4  

               = 0

Thus, the slope of the line = m = 0

The slope m = 0 means the line is horizontal.  Because the slope of the horizontal line is 0.

As the y-values are not changing with respect to the x-values.

Therefore,

The equation of the line passing through the points (4, 6) and (0, 6) will be:

The graph of the equation y = 6 is also attached.

Answer:

21,753 is divisible by 3 and 9

Step-by-step explanation:

A number is  divisible by 2 if last digit of a number is 0, 2, 4 ,6 ,8

A number is  divisible by 3 if sum of digits is divisible by 3.

A number is  divisible by 5 if last digit of a number is 0 or 5

A number is  divisible by 9 if sum of digits is divisible by 9

A number is  divisible by 10 if last digit is 0.

So,  according to these rules  option (a) 3 ,9 is correct

Therefore , 21,753 is divisible by 3 and 9.