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3 years ago

Noah has 5 meters of rope. How many pieces of rope of length \large \frac{1}{2} meter can he cut from it?

Mathematics

1 answer:

valkas [14]3 years ago

4 0

Answer:

10 pieces

Step-by-step explanation:

Giveb that:

Length of rope = 5 meters

Length per piece of rope cut = 1/2

Number of rope pieces that could be cut out :

Lenght of rope / length per piece cut

5 meters ÷ 1/2 meters

5 * 2 /1

= 10 pieces

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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

sashaice [31]

Answer:

k = –10

Step-by-step explanation:

From the question given above, the following data were obtained:

f(x) = x³ – 6x² – 11x + k

Factor => x + 2

Value of K =?

Next, we shall obtained the value of x from x + 2. This is illustrated below:

x + 2 = 0

Collect like terms

x = 0 – 2

x = –2

Finally, we shall determine the value of k as illustrated below:

f(x) = x³ – 6x² – 11x + k

x = –2

Thus,

f(–2) = 0

x³ – 6x² – 11x + k = 0

(–2)³ – (–2)² – 11(–2) + k = 0

–8 – (4) + 22 + K = 0

–8 – 4 + 22 + K = 0

10 + k = 0

Collect like terms

k = 0 – 10

k = –10

Thus, the value of k is –10

7 0

3 years ago

Transform the given quadratic function into vertex form f(x) = quadratic function into vertex form f(x) = quadratic function int

melisa1 [442]

Answer:

Vertex form: $f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

Step-by-step explanation:

For a general quadratic function the form is:

$ax ^ 2 + bx + c$

For the function

$f(x) = x ^ 2+ 7x -1$

The values of the coefficients for the function are the following: $a = 1$ , $b =7$ , $c = -1$

Take the value of b and divide it by 2. Then, the result obtained squares it.

$\frac{b}{2}= \frac{7}{2}$

$(\frac{b}{2})^2=(\frac{7}{2})^2=\frac{49}{4}$

Add and subtract $\frac{49}{4}$

$f(x) = (x ^ 2 +7x +\frac{49}{4}) -\frac{49}{4}- 1$

Write the expression of the form

$f(x) = (x+\frac{b}{2})^2 +k$

$f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

6 0

3 years ago

I already made an attempt at this question and I would just like to check my answer z = ?

Salsk061 [2.6K]

So we have the equation:

$\frac{z+9}{4}=2.1$

Then we need to multiply by 4 on both sides to get rid of the denominator on the left:

$z+9=8.4$

Then we subtract 9 on both sides to solve for z:

$z=-0.6$

Therefore the answer is z = -0.6.

5 0

3 years ago

The can shown has a diameter of 3 inches and a height of 5 inches. Find the lateral surface area of the can.

beks73 [17]

Answer:

Lateral surface area of can = 47 inch² (Approx.)

Step-by-step explanation:

Given:

Diameter of given can = 3 inches

Height of given can = 5 inches

Find:

Lateral surface area of can

Computation:

Radius of can = 3 / 2 = 1.5 inch

Lateral surface area of can = Lateral surface area of cylinder

Lateral surface area of cylinder = 2πrh

Lateral surface area of can = 2πrh

Lateral surface area of can = 2(3.14)(1.5)(5)

Lateral surface area of can = 47.1

Lateral surface area of can = 47 inch² (Approx.)

6 0

3 years ago

Easy Question>>?????????????help

VMariaS [17]

Answer:

thanswer to this is...................

Step-by-step explanation:

unknown

or 148 degrees

6 0

2 years ago

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