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Flauer [41]
3 years ago
5

In the figure shown, suppose m angle ABC=n and m angle ABD=2(m angle DBC). The angle bisector of angle DBC is BE. What is m angl

e EBC
Mathematics
1 answer:
Brrunno [24]3 years ago
5 0

Answer: all I know is that the answer is n/6 cause I kept getting it wrong and it told me.

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The range of a projectile fired at an angle θ with the horizontal and with an initial velocity of v 0 feet per second is r = 1 v
OLEGan [10]
Projectile motion is characterized by a motion that has two vector forces: the velocity along the x and y directions. As a result, the motion follows an arc-shaped direction. These two directions are actually independent of each other. 

There are already derived equations for this so it is already convenient. However, your given equation for range is incomplete. The correct equation is:

R = v₀²sin2θ/g

where
R = 140 ft
v₀ = 120 ft/s
g = 32.2 m/s²

Substituting the values,

sin 2θ = Rg/v₀²
sin 2θ = (140)(32.2)/(120²)
sin 2θ = 0.313
2θ = sin ⁻¹ (0.313)
2θ = 18.24°
θ =18.24°/2
θ = 9.12°
6 0
3 years ago
Factor 2x2 + 7x + 3. <br> (2x + 2)(x + 1) <br> (2x + 3)(x + 1) (2x + 1)(x + 3)
maks197457 [2]
<h3>Answer:</h3>

(2x + 1)(x + 3)

<h3>Step-by-step explanation:</h3>

It is probably easier to try the answer choices than to try to factor the expression yourself.

(2x + 2)(x + 1) = 2x² +4x +2

(2x + 3)(x + 1) = 2x² +5x +3

(2x + 1)(x + 3) = 2x² +7x +3 . . . . . correct choice

_____

<em>Constructed solution</em>

If you want to factor this yourself, you can look for factors of "ac" that add to give "b". That is, you want factors of 2·3 = 6 that add up to give 7. You don't have to look very far.

... 6 = 1·6 = 2·3 . . . . . . the first factor pair adds to give 7

Now, rewrite the x term using the sum of these numbers.

... 2x² +(1 +6)x +3

... 2x +x +6x +3 . . . . eliminate parentheses

... (2x +x) +(6x +3) . . . . group pairs of terms

... x(2x +1) +3(2x +1) . . . . factor each pair

... (x +3)(2x +1) . . . . . . matches the last selection

6 0
3 years ago
Write all names that apply to 7/8
pogonyaev
Seven eighth, 7 over 8, 7/8, 0.875, 
5 0
3 years ago
Read 2 more answers
What is 500 Divided by 4039.905
Vsevolod [243]

Answer:

0.12376528

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The level of nitrogen oxides (NOX) in the exhaust of cars of a particular model varies Normally with standard deviation σ =0.05
Pie

Answer:

z = -0.139

The data provide evidence that this particular meets the government regulation

Step-by-step explanation:

To determine if the the data provide evidence that this particular meets the government regulation, we need to define a null and alternative hypothesis as:

H0: m = 0.3

H1: m > 0.3

where m is the population mean NOX emission.

Then, we need to find the appropriate statistic. So, taking into account that the model follows a Normal distribution with standard deviation equal to 0.05, the statistic is equal to:

z=\frac{x-m}{s/\sqrt{n} }

where x is the mean of the sample, m is 0.3 g/mi, s is the population standard deviation and n is the size of the sample.

Therefore, replacing x by 0.298, m by 0.3, s by 0.05 and n by 12, we get that the test statistic is:

z=\frac{0.298-0.3}{0.05/\sqrt{12} }=-0.139

Finally, we need to find the p-value using the normal distribution table as:

p-value = P(z > -0.139 ) = 0.4443

So, taking into account that the p-value is big value, we can conclude that we don't reject H0. It means that the data provide evidence that this particular meets the government regulation.

8 0
3 years ago
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