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3 years ago

Please help ASAP due 9:20, will give brainliest

Mathematics

2 answers:

nikitadnepr [17]3 years ago

8 0

Answer:

The answer is 1

Step-by-step explanation:

$a =\sqrt{c^{2} - {b^{2 } \\$

$a = \sqrt{1700^2 - 1300^2}$

$a = \sqrt{2890000 - 1690000}$

$a = \sqrt{1200000}$

$a = 1095.4451150103$

Ipatiy [6.2K]3 years ago

5 0

Answer:

1) 1,095

Step-by-step explanation:

$a^{2} +1300^{2} =1700^{2} \\ a^{2} =1700^{2} -1300^{2} \\ =2890000-1690000\\ =1200000$

$a^{2} =1200000\\ a=\sqrt{1200000} \\ a=1095.4451$

round to 1,095

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6 A U 3 3 1 2 3 What is the equation of the line in slope-intercept form? The equation of the line is

AleksandrR [38]

Answer:

$y = -\frac{5}{4} x+5$

Step-by-step explanation:

1) First, find the slope of the line by using two points on the graph. We can see that (0,5) and (4,0) are clearly marked on the line, so let's use those points. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ and substitute the x and y values of those points into it, then simplify:

$m =\frac{0-5}{4-0} \\m = \frac{-5}{4}$

So, the slope is $-\frac{5}{4}$ .

2) Now, identify the y-intercept on the graph. The y-intercept is the point at which the line intersects the y-axis. By reading the graph, we can see that the line intersects the y-axis at (0,5), so that must be the y-intercept.

3) Substitute values for $m$ and $b$ in the slope-intercept formula, $y = mx + b$ , to write the equation of the line. Since $m$ represents the slope, substitute $-\frac{5}{4}$ for it. Since $b$ represents the y-intercept, substitute 5 in its place. This gives the following answer and equation in slope-intercept form:

$y = -\frac{5}{4} x+5$

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3 years ago

Find the Value of Sin A rounded to the nearest hundredth, if necessary.

leonid [27]

Step-by-step explanation:

In trigonometry, the law of sines is an equation that relates the length of the sides of a triangle (any type of triangle) to the sines of its angles. This is expressed mathematically as

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

where $a$ , $b$ , and $c$ are the lengths of the sides of the triangle and $\alpha$ , $\beta$ , and $\gamma$ are the opposite angles (as shown in the figure below). Likewise, the law is sometimes written as it reciprocals,

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

Therefore,

$\displaystyle\frac{\sin A}{BC} \ = \ \displaystyle\frac{\sin B}{AC} \\ \\ \\ \sin A \ = \ \displaystyle\frac{\sin B \ \times \ BC}{AC} \\ \\ \\\sin A \ = \ \displaystyle\frac{\sin \left(90^{\circ}\right) \ \times \ \sqrt{\left(10\right)^{2} \ - \ \left(\sqrt{78}\right)^{2}}}{10} \\ \\ \\ \sin A \ = \ \dsiplaystyle\frac{\sqrt{22}}{10} \\ \\ \\ \sin A \ = \ 0.47 \ \ \ \ (\text{nearest hundredth})$

Alternatively, you can solve this question using the definition of the trigonometric function sine. For the angle $\theta$ in the figure below,

$\sin \theta \ = \ \displaystyle\frac{\text{opposite}}{\text{hypothenuse}}$ .

Therefore,

$\sin A \ = \ \displaystyle\frac{BC}{AC} \\ \\ \\ \sin A \ = \ \displaystyle\frac{\sqrt{\left(10\right)^{2} \ - \ \left(\sqrt{78}\right)^{2}}}{10} \\ \\ \\ \sin A \ = \ \displaystyle\frac{\sqrt{22}}{10} \\ \\ \\ \sin A \ = \ 0.47 \ \ \ \ (\text{nearest hundredth})$

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3 years ago

Find the mean of the data in the dot plot below.

Nataly [62]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

A line with a slope of 1 passes through the points (5,w) and (-7,-9). what is the value of w?

sladkih [1.3K]

Slope = difference in y / difference in x
Slope = (w --9) / (5 --7)
Slope = (w +9) / (5 + 7)
12 * slope = w +9
w = 12*slope -9 and since slope = 1,
w = 12 -9
w = 3

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4 years ago

B. Factor the polynomial 64x + 27y. If the<br> polynomial cannot be factored, write prime.

Aleks04 [339]

Prime it can’t be factored

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3 years ago