All categories

3 years ago

Write the espression 40w - 16, as a product with a whole number greater then one.

Mathematics

2 answers:

musickatia [10]3 years ago

8 0

Answer:

8(5w - 2).

Step-by-step explanation:

40w - 16

The greatest common factor of the two terms is 8 so the product is:

8(5w - 2).

pashok25 [27]3 years ago

6 0

Answer:

8(5w-2)

Step-by-step explanation:

40w-16

Since the GCF is 8, hence we take 8 common

8(5w-2)

You might be interested in

Which of the following terminating decimals is equivalent to Negative 1 and three-fourths?

Tems11 [23]

Answer:

-1.75

Step-by-step explanation:

This should be it, but you didn't provide options although you put "Which of the following.."

3 0

2 years ago

Read 2 more answers

0.66x10 to the 3rd power

Bas_tet [7]

The answer to this is 660

4 0

2 years ago

Read 2 more answers

Looking at the top of tower A and base of tower B from points C and D, we find that ∠ACD = 60°, ∠ADC = 75° and ∠ADB = 30°. Let t

katrin2010 [14]

Answer:

$\text{Exact: }AB=25\sqrt{6},\\\text{Rounded: }AB\approx 61.24$

Step-by-step explanation:

We can use the Law of Sines to find segment AD, which happens to be a leg of $\triangle ACD$ and the hypotenuse of $\triangle ADB$ .

The Law of Sines states that the ratio of any angle of a triangle and its opposite side is maintained through the triangle:

$\frac{a}{\sin \alpha}=\frac{b}{\sin \beta}=\frac{c}{\sin \gamma}$

Since we're given the length of CD, we want to find the measure of the angle opposite to CD, which is $\angle CAD$ . The sum of the interior angles in a triangle is equal to 180 degrees. Thus, we have:

$\angle CAD+\angle ACD+\angle CDA=180^{\circ},\\\angle CAD+60^{\circ}+75^{\circ}=180^{\circ},\\\angle CAD=180^{\circ}-75^{\circ}-60^{\circ},\\\angle CAD=45^{\circ}$

Now use this value in the Law of Sines to find AD:

$\frac{AD}{\sin 60^{\circ}}=\frac{100}{\sin 45^{\circ}},\\\\AD=\sin 60^{\circ}\cdot \frac{100}{\sin 45^{\circ}}$

Recall that $\sin 45^{\circ}=\frac{\sqrt{2}}{2}$ and $\sin 60^{\circ}=\frac{\sqrt{3}}{2}$ :

$AD=\frac{\frac{\sqrt{3}}{2}\cdot 100}{\frac{\sqrt{2}}{2}},\\\\AD=\frac{50\sqrt{3}}{\frac{\sqrt{2}}{2}},\\\\AD=50\sqrt{3}\cdot \frac{2}{\sqrt{2}},\\\\AD=\frac{100\sqrt{3}}{\sqrt{2}}\cdot\frac{ \sqrt{2}}{\sqrt{2}}=\frac{100\sqrt{6}}{2}={50\sqrt{6}}$

Now that we have the length of AD, we can find the length of AB. The right triangle $\triangle ADB$ is a 30-60-90 triangle. In all 30-60-90 triangles, the side lengths are in the ratio $x:x\sqrt{3}:2x$ , where $x$ is the side opposite to the 30 degree angle and $2x$ is the length of the hypotenuse.

Since AD is the hypotenuse, it must represent $2x$ in this ratio and since AB is the side opposite to the 30 degree angle, it must represent $x$ in this ratio (Derive from basic trig for a right triangle and $\sin 30^{\circ}=\frac{1}{2}$ ).

Therefore, AB must be exactly half of AD:

$AB=\frac{1}{2}AD,\\AB=\frac{1}{2}\cdot 50\sqrt{6},\\AB=\frac{50\sqrt{6}}{2}=\boxed{25\sqrt{6}}\approx 61.24$

3 0

3 years ago

Read 2 more answers

Help please, due soon need it

Grace [21]

can you get a clearer picture pls

the bottom is to blurry

7 0

3 years ago

I WILL MARK YOU THE HIGHEST IF RIGHT!!!! NEED HELP ASAP (CANT GET THIS ONE RIGHT.

vitfil [10]

The correct answer is: [A]: " 2" .
_______________________________________________________
Explanation:
_______________________________________________________

5x - 4 = 3x ;

Subtract "3x" from each side of the equation;

5x - 4 - 3x = 3x - 3x ;

2x - 4 = 0 ;

Add "4" to each side of the equation;

2x - 4 + 4 = 0 + 4 ;

2x = 4 ;

Divide each side of the equation by "2" :

2x / 2 = 4 / 2 ;

x = 2 ; which is: "Answer choice: [A]: " 2" .
____________________________________________________

3 0

3 years ago