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vagabundo [1.1K]
3 years ago
6

Leia cuts congruent triangular patches with an area of 63 square centimeters from a rectangular piece of fabric that is 27 centi

meters long and 21 centimeters wide. How many of the patches can Leia cut from 33 pieces of the fabric?
Mathematics
1 answer:
m_a_m_a [10]3 years ago
6 0
<span>- The triangular patches have an area of 63 cm</span>² (A1= 63 cm²)<span>.
- The rectangular piece of fabric is 27 centimeters long and 21 centimeters wide. 

 1. Then, the first thing you must do is to calculate the area of the piece of fabric. The formula for the area of a rectangle is:

 A2=LxW
 
 L=27 centimeters (The lenght of the rectangle)
 W=21 centimeters (The width of the rectangle)

 2. When you substitute the values of L and W into the formula, you obtain:

 A2=(27 cm)(21 cm)
 A2=567 cm</span>²
<span>
 3. Then, let's calculate how many triangular patches she can cut from a rectangular piece of fabric:

 A2/A1= 567 cm</span>²/63 cm²= 9 triangular patches

 4. Finally, you can calculate how many triangular patches she can cut from 33 rectangular pieces of the fabric:

 (9 triangular patches)(33 pieces of fabric)=297 triangular patches
<span>
 How many of the patches can Leia cut from 33 pieces of the fabric?

 The answer is: 297 triangular patches</span>
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BlackZzzverrR [31]
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8 0
3 years ago
The fox population in a certain region has an annual growth rate of 4 percent per year. It is estimated that
Minchanka [31]

Answer:

(a) P(t) = 12100*(1.04^t)

(b) in 2008, estimate of population is 16560 (to the nearest integer)

Step-by-step explanation:

Population in 2000, P(0) = 12100

Growth rate = 4% each year

(a) function model for the t year after 2000 (exponential model)

P(t) = 12100*(1.04^t)

(b) for 2008,

P(2008-2000)

= P(8)

= 12100*(1.04^8)

= 12100 * 1.368569

= 16559.7

= 16560  (nearest integer)

7 0
3 years ago
Solve 8[7-(6x-6)]+6x=0.
zavuch27 [327]
I believe that X would be -2.47619.
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4 0
3 years ago
The points , (−15,1) and , (−7,r) lie on a line with slope 5/4. Find the missing coordinate r. Click image to enlarge
Nadya [2.5K]

The missing coordinate r is 11.

Solution:

Given points are (–15, 1) and (–7, r).

x_{1}=-15, x_{2}=-7, y_{1}=1 \text { and } y_{2}=7

Slope (m) = \frac{5}{4}

<u>To find the missing coordinate r:</u>

Slope formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute the given values in the formula.

$\frac{5}{4}=\frac{r-1}{-7-(-15)}

$\frac{5}{4}=\frac{r-1}{-7+15}

$\frac{5}{4}=\frac{r-1}{8}

Do cross multiplication.

8 \times 5=4(r-1)

40 = 4r – 4

Add 4 on both side of the equation.

44 = 4r

Divide by 4 on both side of the equation.

11 = r

⇒ r = 11

Hence the missing coordinate r is 11.

6 0
3 years ago
Anna went from home to school with the speed 3 km/hour. She ran back home with the speed 6 km/hour.Her sister Olga went to schoo
PIT_PIT [208]
Let:
v = Olga's speed
t = the time Anna spent going to school (3 km/hour)
t/2 = the time Anna spent running back home with speed of 6 km/hour
So, t + t/2 = 3t/2 is the total time
In the meantime distance = speed*time and the both made the same distance we can put it as:
3t + 6*(t/2) = (3t/2)*v
6t = (3/2)tv divide both sides by t 
(3/2)v = 6
v = 2*6/3
v = 4 km/hour
Olga's speed was 4 km/hour.
3 0
3 years ago
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