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3 years ago

Instructions: Given the figure, what is the angle of rotational symmetry?

Mathematics

1 answer:

lozanna [386]3 years ago

5 0

Answer:

90 degrees

Step-by-step explanation:

the right angles in the top right and bottom left mean its a square

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Write an equation (in slope-intercept form) of the line that passes through (0, 3) and (−5, 2.5).

Paladinen [302]

The equation of the line passing throught the points $A(x_A,y_A)$ and $B(x_B,y_B)$ has a form

$\dfrac{x-x_A}{x_B-x_A}=\dfrac{y-y_A}{y_B-y_A}.$

Now the equation of the line passing through points (0, 3) and (−5, 2.5) is

$\dfrac{x-0}{-5-0}=\dfrac{y-3}{2.5-3}.$

Simplify it:

$\dfrac{x}{-5}=\dfrac{y-3}{-0.5},\\ \\0.5x=5(y-3),\\ \\5x=50y-150,\\ \\x=10y-30,\\ \\10y=x+30,\\ \\y=0.1x+3.$

This equation is in slope-intercept form.

Answer: y=0.1x+3.

5 0

3 years ago

Darrin's calculator shows a number as 2.3476 E12.

Arturiano [62]

Standard form of 2.3476 E12 is 2347600000000

4 0

3 years ago

Read 2 more answers

Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard

Bumek [7]

Answer:

$V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

<em><u>The question is</u></em>

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

$V=LWH$

we have

$L=(10-2x)\ cm$

$W=(10-2x)\ cm$

$H=x)\ cm$

substitute

$V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

Find the domain for x

we know that

$(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm$

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

$V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

5 0

3 years ago

Does someone have this answer???? Thank you so much

fredd [130]

Answer: 3

Step-by-step explanation:

We know that p(t) = 11:

11=2t+5

11-5=2t

6=2t

6/2 = t

3 = t

5 0

3 years ago

a manufacturer has 3375 yards of material on hand. if the average dress takes 3 3/8 yards of material, how many dresses can he m

shepuryov [24]

We know that

3 3/8-------------> (3*8+3)/8-----------> 27/8 yd

if 1 dress take---------------> 27/8 yd
X-----------------------------> 3375 yd
X=3375/(27/8)---------> x=1000 dresses

the answer is
He can make 1000 dresses

7 0

3 years ago