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4 years ago

5

What is divide 10 by 4 and then subtract 6.2

2 answers:

leva [86]4 years ago

8 0

10 / 4 - 6.2

2.5 - 6.2

= -3.7 ~~~

katovenus [111]4 years ago

4 0

10 ÷ 4 = 2.5 - 6.2 = -3.7

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Nagaraj has a party length sandwich that is 56 inches long and is to be cut into three pieces. The middle piece will be 6 inches

aliina [53]

X shortest piece
X+6 middle piece
X+8 longest piece
Add them
3x+14=56
3x=42
X=42/3=14

7 0

4 years ago

A rectangular yoga mat has a perimeter of 179 inches. The width of the mat is eight less than half the length. Find the width, i

lianna [129]

Answer:

The width is $24.5in$

Step-by-step explanation:

The perimeter of the rectangular yoga mat can be found using the formula;

$P=2l+2w$ .

$\Rightarrow 179=2l+2w...(1)$ .

It was given that the width of the mat is eight less than half the length.

$w=\frac{1}{2}l-8...(2)$

We put equation (2) into equation (1) to get;

$179=2l+2(\frac{1}{2}l-8)$ .

$\Rightarrow 179=2l+l-16$ .

$\Rightarrow 179+16=2l+l$ .

$\Rightarrow 3l=195$

Divide both sides by 3;

$l=65$

We put $l=65$ into equation 2 to get;

$w=\frac{1}{2}\times65-8$

$w=32.5-8$

$w=24.5in$

4 0

3 years ago

How to factor this expression <br><br>x^3 - 4x^2 + 4x - 16

Natalija [7]

X²(x - 4) +4 (x - 4)

(x² + 4) (x - 4)

First find the common terms that can enter into both x³ and 4x² then write its down in this case it’s x² that can enter x³ leaving only x _since x³/x² = subtract of the indices. x² will also enter 4x² leaving only four hence you having x² (x - 4)
then do the same for the next pair of terms giving you 4 that can enter into both 4 and 16
Leaving you with +4 (x - 4)

Now you can put the common terms together like so (x² + 4) and choose get one of the other two which are the same= (x - 4)
= (x² + 4) (x - 4)

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=%28%20%5Csin%5E%7B2%7D%20%28%20%5Cfrac%7B%5Cpi%7D%7B%204%20%7D%20%20-%20%20%5Calpha%20%29%20%2

guapka [62]

Step-by-step explanation:

$\sin^2 (\frac{\pi}{4} - \alpha) = \frac{1}{2}(1 - \sin 2\alpha)$

Use the identity

$\sin^2 \theta = \dfrac{1 - \cos 2\theta}{2}$

on the left side.

$\dfrac{1 - \cos [2(\frac{\pi}{4} - \alpha)]}{2} = \frac{1}{2}(1 - \sin 2\alpha)$

$\dfrac{1 - \cos (\frac{\pi}{2} - 2\alpha)}{2} = \frac{1}{2}(1 - \sin 2\alpha)$

Now use the identity

$\sin \theta = \cos(\frac{\pi}{2} - \theta)$

on the left side.

$\dfrac{1 - \sin 2\alpha}{2} = \frac{1}{2}(1 - \sin 2\alpha)$

$\frac{1}{2}(1 - \sin 2\alpha) = \frac{1}{2}(1 - \sin 2\alpha)$

4 0

3 years ago

Given the following functions f(x) and g(x), solve f[g(6)] and select the correct answer below:

igomit [66]

B. 0

G(6)= 6 - 8 = -2

F(-2) = 6(-2) + 12 = 0

6 0

4 years ago