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Mashutka [201]
3 years ago
12

The rectangle shown has a perimeter of 106 cm and the given area. It’s length is 8 more than four times the width. Write and sol

ve a system of equations to find the dimensions of the rectangle
Mathematics
1 answer:
jeka943 years ago
6 0

Answer:

Step-by-step explanation:

p = 106

L = 8 + 4W

p = 2L + 2W

p = 2(8 + 4W) + 2W

p = 16 + 8W + 2 W

p = 16 + 10W

106 = 16 + 10W

106 - 16 = 10W

90 = 10W

90/10 = W

9 = W

<h2>W = 9</h2><h2 />

L = 8 + 4W

L = 8 + 4(9)

L = 8 + 36

<h2>L = 44</h2>

44 + 44 + 9 + 9 = 106

44 * 9 = Area = 396

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The sector of a circle is shown below. It has a radius of 10 centimeters and a central
disa [49]

Answer:

1) 8.9 cm

2) 44.5 cm^2

Step-by-step explanation:

a) we want to calculate the length of the arc

Mathematically, we use the formula for the length of an arc

That will be ;

theta/360 * 2 * pi * r

theta = central angle = 51

r is radius = 10 cm

so we have ;

51/360 * 2 * 22/7 * 10 = 8.9 cm

2) The area of the sector is;

theta/360 * pi * r^2

51/360 * 22/7 * 10^2

= 44.5 cm^2

5 0
3 years ago
Which function represents the number of cars sold in terms of bonus received
Mice21 [21]

Answer:

1st option

Step-by-step explanation:

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6 0
3 years ago
Can anyone help me solve these please
pickupchik [31]
R^2+(ab)^2= (ao)^2
ab=6
ao=11.7

Plug in

r^2+6^2=11.7^2

simplify

r^2+36= 136.89
-36 both sides

r^2=100.89
square root both sides

r= 10.04 rounded 10
6 0
3 years ago
Sean's grandfather is three years older than four times Sean's age. If Sean's grandfather is 63, which equation can be used to f
Elodia [21]
60 divided by 4.
EXPLANATION:
If his grandfathers age is 3 more than whatever 4 times seans age is. we can do 63 - 3. which is 60.
Then you fond seans age. 60 divided by 4 is the equation to find seans age.
sry its a bad explanation but I hope the answer helps!
5 0
2 years ago
Read 2 more answers
Triangle ABC , m∠A=45° and c = 16, find b.
zmey [24]

Using the cosine function:

\begin{gathered} \cos (\theta)=\frac{_{\text{ }}adjacent}{_{\text{ }}hypotenuse} \\ so\colon \\ \cos (45)=\frac{b}{16} \end{gathered}

Solve for b:

\begin{gathered} b=16\cdot\cos (45) \\ b=8\sqrt[]{2} \end{gathered}

5 0
1 year ago
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