16. Twelve inches is cut from a board. The

Help on this please?

Anna [14]

Answer:

angle 1 should equal to 54.

angle 2 should equal to 126.

Step-by-step explanation:

2x - 8 + 4x + 2 = 180

2x + 4x - 8 + 2 = 180

6x - 6 = 180

6x - 6 + 6 = 180 + 6

6x = 186

6x ÷ 6 = 186 ÷ 6

x = 31

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

2x - 8 = A1

2(31) - 8 = A1

62 - 8 = A1

54 = A1

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

4x + 2 = A2

4(31) + 2 = A2

124 + 2 = A2

126 = A2

7 0

3 years ago

What is the area of number 4?

Tanzania [10]

Answer:

Step-by-step explanation:

Look at the picture.

We have three rectangles. The formula of an area of a rectangle:

$A=lw$

l - length

w - width

Rectangle I:

$A_I=7\cdot20=140\ cm^2$

Rectangle II:

$A_{II}=6\cdot20=120\ cm^2$

Rectangle III:

$A_{III}=18\cdot30=540\ cm^2$

The area of number 4:

$A=A_{I}+A_{II}+A_{III}$

Substitute:

$A=140+120+540=800\ cm^2$

5 0

3 years ago

The diameters of ball bearings are distributed normally. The mean diameter is 106 millimeters and the standard deviation is 4 mi

Assoli18 [71]

Answer:

Probability that the diameter of a selected bearing is greater than 111 millimeters is 0.1056.

Step-by-step explanation:

We are given that the diameters of ball bearings are distributed normally. The mean diameter is 106 millimeters and the standard deviation is 4 millimeters.

<em>Firstly, Let X = diameters of ball bearings</em>

The z score probability distribution for is given by;

Z = $\frac{ X - \mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean diameter = 106 millimeters

$\sigma$ = standard deviation = 4 millimeter

Probability that the diameter of a selected bearing is greater than 111 millimeters is given by = P(X > 111 millimeters)

P(X > 111) = P( $\frac{ X - \mu}{\sigma}$ > $\frac{111-106}{4}$ ) = P(Z > 1.25) = 1 - P(Z $\leq$ 1.25)

= 1 - 0.89435 = 0.1056

Therefore, probability that the diameter of a selected bearing is greater than 111 millimeters is 0.1056.

4 0

3 years ago

Can someone help me with 13,14,15 and 16 please

xeze [42]

Answer: -3/5, 18/32, -10/11, and horizontal.

Step-by-step explanation: Remember the equation for slope? Δy (the change in y), over Δx (the change in x). In other words, rise over run. To solve for Δ, you'd have to subtract the second output (y²) from the first (y¹). There are really no rules as to which has to be minuend and the subtrahend, so I chose to subtract (-1,6) from (4,3) for the first problem.

y¹-y² Δy 3-6 -3

------ or ---- so ------- = ----- The slope is represented by -3/5x

x¹-x² Δx 4-(-1) 5

__________________________________________________________

For the second, substitute the values again (make sure you keep the xs and ys together and in the right order, otherwise your answer will be incorrect). Remember that subtracting a negative number is basically just adding a positive number. That's why the slope is 18/32 and not 4/26.

11-(-7) 18

--------- = -------

29-(-3) 32

___________________________________________________________

For number three, they give you a point, then tell you the y-intercept. With that in mind, also know the second point is (0,17), because the x value at the y-intercept is always 0.

7-17 -10

------ = ------- The slope is -10/11x

11-0 11

___________________________________________________________

4-4 0

------ = --------

6-(-9) 15

Because there is no Δy, but there is Δx, we know that the line for y will be straight and shows no change- it will always be at 4. That said, the line will be horizontal.

I hope this helps. I know this is very confusing at first, but with practice, you'll eventually get the hang of it. I've tried to explain the rules to the best of my ability- let me know if there's anything you don't understand or need more help with.

Sincerely,

Lacia :))

5 0

3 years ago

Simplify the polynomial (4n² + 3n – 5) − (2n² + 3n<br> -<br> + 6)

Veseljchak [2.6K]

Answer:

2n² + 1

Step-by-step explanation:

Given polynomial:

(4n² + 3n – 5) − (2n² + 3n - 6)

Solution: