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sergey [27]
2 years ago
10

A square pool has a triangular platform in the center. The pool measures 5 meters on a side. The base of the triangular platform

is 2 meters long and its height is 1 meter. What is the area of the triangular platform? What is the area of the pool that is not covered by the triangular platform?​

Mathematics
1 answer:
ollegr [7]2 years ago
6 0
30 meters papi chulo uessssssssssssssss
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Which choice shows the image of triangle QRS after the reflection over the x-axis followed by a rotation of 180° around the orig
Alex777 [14]

Answer:

A

Step-by-step explanation:

We see that triangle QRS is located in Quadrant III. (See attachment for labelling of quadrants)

Reflecting it over the x-axis means that we flip it over the x-axis, or we flip it vertically. Doing so, QRS will end up in Quadrant II.

Now, we need to rotate QRS 180 degrees about the origin. The quadrants are all 90 degrees away from each other, which means that if we rotate QRS about the origin 180 degrees, we'll end up two quadrants away from Quadrant II: we'll end in Quadrant IV.

Look at each of the answer choices. The only choice that features Q'R'S' (the image of QRS) in the fourth quadrant is the first choice, or A. So that's the answer.

<em>~ an aesthetics lover</em>

3 0
3 years ago
The two rectangular prisms are similar. What is the volume of the larger rectangular prism?
Brums [2.3K]

The question is missing the figure which is attached below.

Answer:

1620 cm³

Step-by-step explanation:

Given:

The two prisms are similar.

Volume of the smaller prism (V₁) = 60 cm³

Length of the smaller prism (l₁) = 5 cm

Length of the larger prism (l₂) = 15 cm

Now, we know that, for similar figures, the dimensions of the figure are in proportion to each other. Therefore,

\frac{l_2}{l_1}=\frac{b_2}{b_1}=\frac{h_2}{h_1}=k(constant)\\\\Where,\\b_1,b_2\to\ widths\ of smaller\ and\ larger\ prisms\ respectively\\\\h_1,h_2\to\ heights\ of\ smaller\ and\ larger\ prisms\ respectively

\frac{l_2}{l_1}=\frac{15\ cm}{5\ cm}=3\\\\\therefore\ k=3

This means that, the smaller figure is dilated by a scale factor of 3.

Hence, l_2=3l_1,b_2=3b_1,h_2=3h_1

Volume of smaller prism is given as:

V_1=l_1b_1h_1\\\\l_1b_1h_1=60\ cm^3

Volume of larger prism is given as;

V_2=l_2b_2h_2\\\\V_2=3l_1\times 3b_1\times 3h_1\\\\V_2=27(l_1 b_1h_1)\\\\V_2=27\times 60=1620\ cm^3\ \ \ \ [\because\ l_1b_1h_1=60\ cm^3]

Therefore, the volume of the larger rectangular prism is 1620 cm³.

4 0
2 years ago
What is the name of the most dangerous fault line in the U.S.?<br> Your
Sphinxa [80]

That one in the san Andreas movie?

4 0
3 years ago
Billy worked for 38 hours last week. His boss gave him $361 for his work
mylen [45]
Billy makes $9.50 per hour at work. The equation for Billy’s wage is y=9.5x, where y is Billy’s money and x is how many hours Billy works.
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3 years ago
At Shower and Body Works, there are different sizes of lotion dispensers. Two of the
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Answer:

2.5 times

Step-by-step explanation:

From the diagram attached below;

let's calculate the volume of each bottle;

SO for bottle X;

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Volume of Y = \dfrac{1}{2}*3*2.5*4

Volume of Y = 15  \ \ in^3

The ratio of Y to X can help us to determine how many times more lotion is in Bottle Y than in Bottle X; So taking their ratio ; we have:

\mathbf{\dfrac{volume \ of \  Y }{volume\ of  \ X} = \dfrac{15}{6}  }

= 2.5 times

Thus; Bottle Y has 2.5 times more lotion than Bottle X

3 0
2 years ago
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