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3 years ago

27. It costs $8.65 to ride the train. Ms. Reilly took

Mathematics

1 answer:

frozen [14]3 years ago

6 0

Answer:$164.35

Step-by-step explanation:

You just multiply 19 × 8.65

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Triangle ABC has A(-3,6),B(2,1), and C(9,5) what the length of side AB? What the length BC what the length AC and what ABC

vovikov84 [41]

Answer:

AB = 5√2

AC = √145

BC = √65

Step-by-step explanation:

Using the formula for calculating the distance between two points

D = √(x2-x1)²+(y2-y1)²

For AB A(-3,6),B(2,1),

AB = √(2+3)²+(1-6)²

AB = √(5)²+(-5)²

AB = √25+25

AB = √50

AB = 5√2

For AC A(-3,6) and C(9,5)

AC = √(9+3)²+(5-6)²

AC = √(12)²+(-1)²

AC = √144+1

AC = √145

For BC B(2,1), and C(9,5)

BC = √(9-2)²+(5-1)²

BC = √(7)²+(4)²

BC = √49+16

BC = √65

Since All the sides are difference, hence triangle ABC is a scalene triangle

8 0

3 years ago

Solve for x. Round to the nearest tenth of a degree, if necessary.

MissTica

Answer:

x ≈ 54.8°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = $\frac{opposite}{adjacent}$ = $\frac{PQ}{QR}$ = $\frac{7.1}{5}$ , then

x = $tan^{-1}$ ( $\frac{7.1}{5}$ ) ≈ 54.8° ( to the nearest tenth )

4 0

3 years ago

Please help me with this and I will give one of the answers most brainliest

inna [77]

A)

$A=8\qquad\qquad B=12.5\\\\\\d(A,B)=|12.5-8|=|4.5|=\boxed{4.5\,\text{cm}}$

b)

$C=?\\\\\\d(C,A)=2\cdot d(C,B)\\\\|A-C|=2\cdot|B-C|\\\\|8-C|=2\cdot|12.5-C|\\\\
|8-C|=|25-2C|\\\\\\8-C=25-2C\qquad\vee\qquad8-C=-(25-2C)\\\\-C+2C=25-8\qquad\vee\qquad8-C=-25+2C\\\\C=17\qquad\vee\qquad8+25=2C+C\\\\C=17\qquad\vee\qquad33=3C\quad|:3\\\\\boxed{C=17\qquad\vee\qquad C=11}$

Mark 11 or 17.

4 0

3 years ago

(-3,6] to inequality

Gnom [1K]

Answer:

-3 < x ≤ 6

Step-by-step explanation:

Left side is exclusive, right side is inclusive, hence the < and ≤, respectively.

6 0

3 years ago

Graph a line that is parallel to the given line. Determine the slope ofthe given line and the one you graphed in simplest form.

Daniel [21]

original slope = -4/3

parallel slope = -4/3

Explanation:

For a line to be parallel to anpother line, the slope of both lines must be equal.

We need to find the slope of the given line by picking any two points on the line.

Using points (-6, 5) and (0, -3)

slope formula:

$m\text{ = }\frac{y_2-y_1}{x_2-x_1}$ $\begin{gathered} x_1=-6,y_1=5,x_2=0,y_2\text{ = -}3 \\ \text{slope = m= }\frac{-3-5}{0-(-6)}=\frac{-8}{0+6} \\ m\text{ = -8/6} \\ m\text{ = -4/3} \end{gathered}$

The equation of the given line: y = mx + b

b = y-intercept = -3

y = -4/3x - 3

The equation line parallel to the one above could be:

y = -4/3 x + 7

This because the slope are the same

original slope = -4/3

parallel slope = -4/3

plotting the graph of the lline parallel to the first one:

3 0

1 year ago