2. The picture shows a feeding trough that is shaped like a right prism.

Mathematics

1 answer:

babymother [125]4 years ago

6 0

So a)
it has 4 faces
first=30
second=30
third=20
fourth=20
b)surface area=120

3.8/50 students preferred sports when the survey was first taken, we can infer that more kids are going to picks sports when we take the survey again.
Out of 50 randomly picked students only 4 said they watch tv, we can infer that this number will stay a single digit when we take the survey again

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3. The point P(3,5) is rotated 90° clockwise

Vitek1552 [10]

Answer:

New coordinates of P' are: P'(5, -3)

Hence, option B i.e. P'(5,-3) is correct.

Step-by-step explanation:

When a point A(x, y) is rotated 90° clockwise around the origin, we flip x and y and reverse the sign of x.

Thus,

The rule to rotate a point A(x, y) after a rotation 90° counterclockwise around the origin is:

A(x, y) → A'(y, -x)

In our case, the point P(3, 5) is rotated 90° clockwise about the origin. Thus, the coordinates of P' will be:

A(x, y) → A'(y, -x)

P(3, 5) → P'(5, -3)

Therefore, coordinates of P' are: P'(5, -3)

Hence, option B i.e. P'(5,-3) is correct.

5 0

3 years ago

3(x-8)-2(10-x)>5(x-1)

Vladimir [108]

Answer:

x - 44 > 5x - 5 is the simplified version. hope this helps

Step-by-step explanation:

- Zombie

6 0

3 years ago

What is the length of BC in the right triangle below

Anna [14]

Answer:

<h2>15 units</h2>

The length of BC is 15 units.

Solution,

Hypotenuse(h)=?

perpendicular(p)=12

base(b)=9

Using Pythagoras theorem,

${h}^{2} = {p}^{2} + {b}^{2} \\ or \: {h}^{2} = {12}^{2} + {9}^{2} \\ or \: {h}^{2} = 12 \times 12 + 9 \times 9 \\ or \: {h}^{2} = 144 + 81 \\ or \: {h}^{2} = 225 \\ or \: h = \sqrt{225} \\ or \: h = \sqrt{ {15}^{2} } \\ h = 15$