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boyakko [2]
3 years ago
6

The instructions for building a kite tell you to begin by cutting a strip of wood to 45 cm in length, but your ruler only measur

es inches. How many inches should the piece of wood be? Round to the nearest quarter of an inch. (Recall: 1 in. = 2.54 cm)
Mathematics
2 answers:
Phantasy [73]3 years ago
6 0
If one inch = 2.54 centimeters, then 45 centimeters divided by 2.54 centimeters will give you the amount of inches the piece of wood needs to be.

45/2.54 = 17.72  ---- Rounded to the nearest quarter, would be 17.75 inches.
sergey [27]3 years ago
6 0

Answer:   17\dfrac{23}{32}\text{ inches}.

Step-by-step explanation:

Given: The required length of wood strip = 45 cm

Since we know that \text{One inch = 2.54 centimeters}

Using Unitary Method ,

\text{One centimeter}=\dfrac{1}{2.54}\text{ inch}\\\\

Now, the length of the strip ( in inches ) will be :-

\dfrac{1}{2.54}\times45\text{ inches}\\\\\\=\dfrac{12512}{32}\text{ inches}\\\\\\=17\dfrac{23}{32}\text{ inches}

Hence, the length of the piece should be 17\dfrac{23}{32}\text{ inches}.

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Find the number of ordered pairs $(m,n)$ of integers that satisfy \[mn = 2m + 4n.\] <img src="https://tex.z-dn.net/?f=Find%20the
Anna35 [415]

There are four pairs (m,n) that work: (5,10), (6,6), (8,4), and (12,3).

5 0
2 years ago
El jardinero de un parque planta flores siguiendo cierto patrón. En la primera fila planta 4 flores, en la segunda 7 y así suces
nevsk [136]

Answer:

a) Para i = 4, hay 13 flores en la fila 4.

b) Para i = 7, hay 22 flores en la fila 7.

c) La fila 11 tiene 34 flores.

Step-by-step explanation:

De acuerdo con el enunciado, cada fila tiene tres flores más que la fila inmediatamente anterior, significando que se puede determinar el número de flores de cada fila mediante una serie aritmética:

n = 4+3\cdot (i-1), i \ge 1 (1)

Donde:

i - Índice de la fila de flores.

n - Número de flores del índice de la fila de flores.

a) Para i = 4, hay 13 flores en la fila 4.

b) Para i = 7, hay 22 flores en la fila 7.

c) Si n = 34, entonces el índice de la fila es:

i=1+\frac{n-4}{3}

i = 11

La fila 11 tiene 34 flores.

6 0
3 years ago
Find the length of each bolded arc. Round to the nearest hundredth.
Nezavi [6.7K]

Answer:

Length of the bold arc = 72.63 ft

Step-by-step explanation:

Length of the arc = \frac{\theta}{360}(2\pi r)

Here, θ = angle subtended by the arc at the center

r = Radius of the circle

Since, angle subtended by the bold arc at the center = 360 - 73

                                                                                         = 287°

And radius of the circle 'r' = 14.5 ft

By substituting these values in the formula,

Length of the bold arc = \frac{287}{360}\times (2\pi)(14.5)

                                     = 72.632

                                     ≈ 72.63 ft

Therefore, length of the bold arc = 72.63 ft

8 0
3 years ago
Suppose Marcy's rectangular laptop measures 12 inches by 9 inches. Find the diagonal measurement from corner A to corner B.
astraxan [27]

Answer:

the diagonal measurement from corner A to corner B=15 inches

Step-by-step explanation:

as we know that the loptop has the shape of a rectangle that means all it's angles are right angles. so we can use the pythogoras theorem to find out the diagonal of the rectangle.

let us denote the diagonal of rectangle by D and the sides of rectangle be denoted by X=12 and Y=9

so by using pythogoras theorem we have,

D^{2} =X^{2} +Y^{2}

D^{2}=225

D=15

Hence the diagonal measurement from corner A to corner B is 15 inches.

7 0
3 years ago
Read 2 more answers
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