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2 years ago

Find the missing measurements in triangle ABC. Round your answer to the nearest tenth if necessary.

Mathematics

2 answers:

Aneli [31]2 years ago

8 0

Answer:

m∡B = 55°

AB = 5.2

AC = 7.4

Step-by-step explanation:

m∡B = 180-(90+35)

use Law of Sines to find AB and AC:

sin 90° / 9 = sin 35°/AB

AB = .57(9) = 5.2

sin 90° / 9 = sin 55°/AC

AC = .82(9) = 7.4

Arisa [49]2 years ago

4 0

Answer:

The measure of Angle B= 55°

AB= 5

AC= $\sqrt{56}$

Step-by-step explanation:

180-35-90 = 55.

$5^{2}$ +56=9

$\sqrt{56}$ = 7.48........

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Ms Smith has a monthly income of 4,500. If she spends $300 on clothing, and she spends 8% in entertainment , which expense is hi

lbvjy [14]

Answer:

Entertainment

Step-by-step explanation:

8% of $4,500 is $360, which is more than $300

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3 years ago

Find the surface area of the prism

scoray [572]

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2 years ago

What is the average rate of change over the interval (-1, 5)

MArishka [77]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the function is not given. However, the following explanation will guide you.

The average rate of change is calculated using;

$A = \frac{f(b) - f(a)}{b - a}$

Where

$(a,b) = (-1,5)$

Take for instance;

The function is:

$f(x) = 2x$

We have to solve for f(-1) and f(5);

i.e.

$f(-1) = 2 * -1 -2$

$f(5) = 2 * 5 = 10$

Substitute -1 for a and 5 for b

$A = \frac{f(b) - f(a)}{b - a}$

$A = \frac{f(5) - f(-1)}{5 - (-1)}$

$A = \frac{f(5) - f(-1)}{5 +1)}$

$A = \frac{f(5) - f(-1)}{6}$

Substitute values for f(5) and f(-1)

$A = \frac{10 - (-2)}{6}$

$A = \frac{10 +2}{6}$

$A = \frac{12}{6}$

$A = 2$

Apply this steps in your work

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3 years ago

What is an equation of the line that passes through the points (0, -7) and (-8, 3)?

avanturin [10]

Answer (assuming it can be in slope-intercept form):

$y = -\frac{5}{4} x-7$

Step-by-step explanation:

1) First, find the slope of the line by using the slope formula, $m = \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of the given points into the formula and solve:

$m = \frac{(3)-(-7)}{(-8)-(0)}\\m = \frac{3+7}{-8-0} \\m = \frac{10}{-8} \\m = -\frac{5}{4}$

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

2) Now, use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation of the line in point-slope form. Substitute real values for the $m$ , $x_1$ , and $y_1$ in the formula.

Since $m$ represents the slope, substitute $-\frac{5}{4}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of one point the line intersects, choose any one of the given points (either one is fine, it will equal the same thing at the end) and substitute its x and y values into the formula as well. (I chose (0, -7), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the following answer:

$y-(-7) = -\frac{5}{4} (x-(0))\\y + 7 = -\frac{5}{4} x\\y = -\frac{5}{4} x-7$

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2 years ago

(-5, -1, 10, -9) on the number line.

lbvjy [14]

-9,-5, -1, 10 is the right order

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2 years ago