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Dafna1 [17]
3 years ago
10

the diagram shows a rectangle four of these rectangles are put to together as shown calculate the shaded area

Mathematics
1 answer:
yawa3891 [41]3 years ago
6 0

Answer:

42cm squared

Step-by-step explanation:

You are taking 2 x 0.5cm  of the smaller sides rectangles which is 1. Then what is left is 6x7 which is 42cm squared

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A tank is 4/5 full of water. If 40 gal more water are needed to fill the tank completely, find the capacity of the tank.
weqwewe [10]
200 gallons
5/5-4/5=1/5
1/5=40 gallon
40x5=200 gallon
3 0
4 years ago
If a recipe calls for one half lb of chicken per person and you bought the chicken in​ kilograms, how much chicken is needed for
nirvana33 [79]

Answer:

chicken per 3 people ≅ 0.681kg.

Step-by-step explanation:

You have half a pound of chicken per person (1/2 lb / p) and since there are 3 people then 3 * (1/2 lb / p) will be needed 1.5 lb for every 3 people , but this amount must be in kilograms, so :

1.5lb*\frac{0.454kg}{lb}≅0.681kg.

3 0
3 years ago
Determine if the following equations form a perpendicular line or not
GREYUIT [131]
  • Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept.

If two lines are perpendicular, then they will have slopes that are <u>negative reciprocals</u> to each other. An example of negative reciprocals are 2 and -1/2

<h2>6.</h2>

Now with line 2, I have to convert it to slope intercept form. Firstly, subtract 2x on both sides of the equation: -5y=-2x+8

Next, divide both sides by -5 and your slope-intercept form is y=\frac{2}{5}x+\frac{8}{5}

Now since 2/5 is <em>not</em> the negative reciprocal of -2/5, <u>these lines are not perpendicular.</u>

<h2>7.</h2>

It's pretty much the same process; convert to slope-intercept and determine if negative reciprocal. This time I'll brush through them:

6x-3y=15 \\-3y=-6x+15\\y=2x-5\\\\2x+4y=-12\\4y=-2x-12\\y=-\frac{1}{2}x-3

Now since 2 <em>is</em> the negative reciprocal of -1/2, <u>these lines are perpendicular.</u>

5 0
3 years ago
How do I solve this equation and check the solutions?
bearhunter [10]

Answer:

{-6}

Step-by-step explanation:

Step 1 Raise both sides of the equation to the index of the radical in the case 2

(\sqrt{2x+13} )^{2} =(x+7)^{2}

2x + 13 = (x+7)(x+7)

2x +13 = x^{2}  + 14x + 49\\0=x^{2} +12x+36

Step 2 Factor

(x + 6)(x + 6) = 0

x + 6 = 0

x = - 6

Step 3 Check -6

\sqrt{2(-6)+13} = -6 + 7\\\sqrt{-12+13} = 1\\\sqrt{1} = 1\\1 = 1

5 0
3 years ago
Ryan's unpaid credit card balance was $1853.68. His APR is 24.9%. What is his new balance after he makes one new transaction for
nataly862011 [7]

Answer:

  $2070.14

Step-by-step explanation:

Credit card terms vary, as do methods of computing interest and new balance. Here, we'll assume that no payment has been made (<em>in violation of the terms of the credit card</em>), and that the finance charge is only applied to the previous balance.

The finance charge is ...

  $1853.68 × 0.249 ÷ 12 = $38.46 . . . . . . . the monthly rate is 0.249÷12

Then the new balance will be the sum of the previous balance, finance charge, and new transaction(s):

  $1853.68 +38.46 + 178.00 = $2070.14

_____

<em>Comment on lack of payment</em>

Because no payment has been made, there may also be a late-payment charge added to the balance.

4 0
4 years ago
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