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3 years ago

Janet unfolded a cardboard box. The figure of the unfolded box is shown below:

Mathematics

1 answer:

bixtya [17]3 years ago

5 0

3rd one 10 x 6 x 6
hope this is right

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Question 101 points)

maw [93]

Answer:

$\large\boxed{y=-\dfrac{2}{3}x+\dfrac{13}{3}}$

Step-by-step explanation:

$\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\===============================$

$\text{We have the point:}\\\\(5,\ 1)\ \text{and}\ (-4,\ 7).\ \text{Substitute:}\\\\m=\dfrac{7-1}{-4-5}=\dfrac{6}{-9}=-\dfrac{6:3}{9:3}=-\dfrac{2}{3}\\\\\text{We have the equation in form:}\\\\y=-\dfrac{2}{3}x+b\\\\\text{Put the coordinates of the point (5, 1) to the equation:}\\\\1=-\dfrac{2}{3}(5)+b\\\\1=-\dfrac{10}{3}+b\qquad\text{add}\ \dfrac{10}{3}\ \text{to the both sides}\\\\\dfrac{3}{3}+\dfrac{10}{3}=b\to b=\dfrac{13}{3}\\\\\text{Finally:}\\\\y=-\dfrac{2}{3}x+\dfrac{13}{3}$

4 0

3 years ago

What is the slope of points (4,9) (-8,-6)?

12345 [234]

Answer:

5/4

Step-by-step explanation:

(y₂ - y₁) / (x₂ - x₁)

(4,9) (-8, -6)

plug in

(-6 - 9) / (-8 - 4)

solve within parentheses

-15/-12

simplify

5/4

6 0

3 years ago

Read 2 more answers

Find the measure of the indicated angle to the nearest degree

shutvik [7]

$\cos \theta =\dfrac{18}{23}\\\\\implies \theta = \cos^{-1}\left(\dfrac{18}{23} \right)=38.5^{\circ} \approx 39^{\circ}$

7 0

2 years ago

Can someone solve this question?

Rom4ik [11]

The triangles are isosceles. The following notation are for the angles. For example ABD is refer to the angle located in the B vertex, formed by the segments AB and BD.

$ABD = ADB\\40 + 2ADB = 180\\ADB = 70 = ABD\\$

$70 + DBC + 30 = 180\\DBC = 180 - 100 = 80$

Then

$BCD = BCD\\2BCD + 80 = 180\\BCD = 50$

3 0

3 years ago

A local fun park charges an admission fee plus a fee for each Go-Kart ride. Admission plus five

tino4ka555 [31]

The admission price is $6 and the rides are $2 each.

8 0

2 years ago