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3 years ago

In the previous problem, which of the following is m angle B to the nearest degree?

Mathematics

2 answers:

alekssr [168]3 years ago

8 0

Answer:

A. 30

Step-by-step explanation:

sin theta = opposite side / hypotenuse

sin B = 8/16

sin B = 1/2

Take the arcsin of each side

arcsin sin(B) = arcsin (1/2)

B = arcsin (1/2)

B = 30

irina1246 [14]3 years ago

4 0

Answer:

Measure of ∠B is 30°

Step-by-step explanation:

Given the figure, we have to find the measure of angle B.

By trigonometric ratios formula,

$sin\theta=\frac{Perpendicular}{Hypotenuse}$

⇒ $sin\angle B=\frac{AC}{AB}=\frac{8}{16}$

⇒ $sin\angle B=\frac{1}{2}$

⇒ $\angle B=sin^{-1}(\frac{1}{2})$

⇒ $\angle B=30^{\circ}$

Hence, measure of ∠B is 30°

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Consider the differential equation: dy/dx = (y-2)(x^2+1)

Klio2033 [76]

Answer:

Step-by-step explanation:

Given,

$\dfrac{dy}{dx}=(y-2)(x^2+1)$ ...(i)

Differentiating w.r. to x.

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From equation (1)

$\dfrac{d^2y}{dx^2}= (y-2)(2x)+ (x^2+1)^2(y-2)$

Now, at the point (1,3)

$\dfrac{d^2y}{dx^2}= (3-2)(2\times 1)+ (1^2+1)^2(3-2)$

$\dfrac{d^2y}{dx^2}=6$

3 0

3 years ago

Montell gets $10.50 each week for doing yard work for his neighbors. He has earned $63 so far. Write and solve an equation to fi

Ilia_Sergeevich [38]

Answer:

10.50x = 63

You'll divide 63 by 10.50 to get 6 weeks.

8 0

3 years ago

What equation would you use to find the measure of

PIT_PIT [208]

The figure is a parallelogram, and in a parallelogram, the lower side and the upper side have the same length. Also, the left side and the right side have the same length. This is shown in the following image:

The red sides are equal, and the blue sides are equal.

Thus, since the blue sides are equal, we can use the following equation to find x:

$7x=3x+14$

And since, once we know x, we can know the length of JK, this is the equation that we can use to find JK.

Answer:

7x=3x+14

6 0

1 year ago

A line passes through the point (10,5) and has a slope of 3/2. Write and equation in slope intercept form

ehidna [41]

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 10}}\quad ,&{{ 5}})\quad 
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{3}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-5=\cfrac{3}{2}(x-10)\implies y-5=\cfrac{3}{2}x-15
\\\\\\
y=\cfrac{3}{2}x-15+5\implies y=\cfrac{3}{2}x-10$

8 0

4 years ago

A train leaves at 11.15 and arrives at its destination at 12.23. If the train travelled 95 km, what was it's average speed in km

xxMikexx [17]

Answer:

Average speed v = 83.8 km/h

Step-by-step explanation:

Given;

Distance travelled = 95 km

Time taken t = 12.23 - 11.15 = 1 hour 8 minutes

t = 1 + 8/60 hours = 1.133 hours.

Average speed v = distance travelled/time taken

substituting the values;

v = 95 km ÷ 1.133 hours

Average speed v = 83.8 km/h

4 0

3 years ago