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Ksivusya [100]
3 years ago
6

What is the volume of the prism?

Mathematics
2 answers:
asambeis [7]3 years ago
6 0
4 1/2
Try Cymath it’s great for this stuff
Nikolay [14]3 years ago
4 0

Answer:

V = 9/2 ft^3

Step-by-step explanation:

v = 2 \times 1 \frac{1}{2}  \times 1\frac{1}{2}  \\  \\ v = 2 \times  \frac{3}{2}  \times  \frac{3}{2}  \\ v =  \frac{9}{2}  \:  \:  {ft}^{3}

I hope that is useful for you :)

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Hộp đựng 3 bi đỏ, 5 bi trắng và 7 bi xanh lấy ngẫu nhiên 2 bi. Tính xác suất? a, Có 1 bi đỏ trong 2 bi lấy ra b, Có ít nhất 1 bi
Vikentia [17]

Answer:

a) 3C1 * 12 C1 / 15 C2

b)  1 - 12C2 / 15C2

Step-by-step explanation:

Được

Viên bi đỏ = 3

Viên bi trắng = 5

Viên bi xanh = 7

Hai quả bóng được rút ra một cách ngẫu nhiên

a) Có 1 bi đỏ

3C1 * 12 C1 / 15 C2

b) Có ít nhất 1 viên bi đỏ trong số 2 viên lấy ra.

Số kết quả của việc chọn hai quả bóng trong số 15 quả bóng = 15 C2

Số kết quả của việc chọn 0 quả bóng đỏ = 15C12

Xác suất chọn được ít nhất 1 viên bi đỏ = 1 - 12C2 / 15C2

5 0
3 years ago
What is the best description for the lines
jeyben [28]

Answer:

Lines are described as connecting curve joining two points.

Step-by-step explanation:

In coordinate geometry, graph theory, we have points which do not occupy any space.

Any two points can be connected by a curve or a straight line.  If two points are joined by a straight line, then we have the slope of the line i.e. the tangent of angle of the line with x axis is constant.

Straight lines would be of the form ax+by+c=0

Hence in equation form, lines would have equations in linear form of both x and y.

Lines have constant slope throughout the region.

Lines can be extended from -infinity to +infinity

Any two distinct  points can make a line, but 3 points need not lie on the same line.


7 0
3 years ago
A $4000 deposit in an account after 1 year with an APR of 3.6. How much is the balance after 1 year?
BaLLatris [955]
Hi!
Let's divide 4000 by 1000 to see what .1% would be: $4.
Now we multiply 4 by 36 to get 3.6% of 4000: $ 144
Add 4000 and 144 together:40144.
hope this helps!
5 0
3 years ago
If a toy rocket is launched vertically upward from the ground level with an initial velocity of 128 feet per second, then its he
natta225 [31]

Answer:

The maximum height of the rocket is 256 feet

Step-by-step explanation:

The vertex form of the quadratic function f(x) = ax² + bx + c is

f(x) = a(x - h)² + k, where

  • (h, k) is the vertex point
  • h = \frac{-b}{2a} and k = f(h)
  • (h, k) is a minimum point if a > 0 and a maximum point if a < 0

Let us use these rules to solve the question

∵ h(t) = -16t² + 128t

→ Compare it by the form of the quadratic function above

∴ a = -16 and b = 128

∵ a < 0

∴ The vertex (h, k) is a maximum point

∴ The maximum height of the rocket is the value of k

→ Use the rule of h above to find it

∵ h = \frac{-128}{2(-16)} = \frac{-128}{-32}

∴ h = 4

→ Substitute x in the equation by the value of h to find k

∵ k = h(h)

∴ k = -16(4)² + 128(4)

∴ k = -256 + 512

∴ K = 256

∴ The maximum height of the rocket is 256 feet

4 0
3 years ago
Find the roots of the following equations.<br> a) 4x+9=34<br> b) (x-4)(x+2)=0<br> c) 2x^2-6x+4=0
Masteriza [31]
A. 4x + 9 = 34
    <u>      - 9   - 9</u>
          <u>4x</u> = <u>25</u>
           4      4
            x = 6.25

B. (x - 4)(x + 2) = 0
    x - 4 = 0    U    x + 2 = 0
    <u>  + 4 + 4</u>          <u>    - 2  - 2</u>
         x = 4                 x = -2

C.          2x² - 6x + 4 = 0
    2(x²) - 2(3x) + 2(2) = 0
            <u>2(x² - 3x + 2)</u> = <u>0</u>
                      2             2
                x² - 3x + 2 = 0
                x = <u>-(-3) +/- √((-3)² - 4(1)(2))</u>
                                      2(1)
                x = <u>3 +/- √(9 - 8)</u>
                               2
                x = <u>3 +/- √(1)
</u>                            2<u>
</u>                x =<u> 3 +/- 1
</u>                          2
                x = <u>3 + 1</u>    U    x = <u>3 - 1</u>
                         2                      2
                x = <u>4</u>                 x = <u>2</u>
                      2                       2
                x = 2                 x = 1
<u />
7 0
3 years ago
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