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coldgirl [10]
3 years ago
6

Find the area of the isosceles trapezoid below by using the area formulas for rectangles and triangles. A = 10 cm, b = 14 cm, an

d c = 5 cm
Mathematics
1 answer:
leva [86]3 years ago
4 0

Answer:

The area is 60 cm^2

Step-by-step explanation:

Here, we want to calculate the area of the isosceles trapezoid

Mathematically, the area is ;

Area = 1/2( a + b) c

Thus, we have that;

Area = 1/2(10 + 14)5

= 1/2 * 24 * 5

= 60 cm^2

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A scale drawing of a square has a side length of 6 millimeters. The drawing has a scale of 1 mm : 7 km. Find the actual perimete
zvonat [6]

Answer:

The real perimeter is:

P= 24 mm *\frac{7 km}{1mm}= 168 km

And the area would be:

P = 36mm^2 *\frac{(7km)^2}{(1mm)^2} = 1764 km^2

Step-by-step explanation:

For this case we know one side of a square given 6mm.

We can begin calculating the perimeter for the scale figure with this formula:

P = 4x = 4*6 mm =24 mm

The area for this case is given by:

A = x^2 = 6mm^2 = 36 mm^2

And we know that the drawing has a scale of 1 mm : 7 km and if we convert the perimeter to km we got:

P= 24 mm *\frac{7 km}{1mm}= 168 km

And the area would be:

P = 36mm^2 *\frac{(7km)^2}{(1mm)^2} = 1764 km^2

6 0
3 years ago
Select the pair of slopes that are the slopes of perpendicular lines.
agasfer [191]
<h3>\frac{3}{4}\ and\ \frac{-4}{3} are the slopes of perpendicular lines</h3>

<em><u>Solution:</u></em>

We know that,

Product of slope of a line and slope of line perpendicular to it is always equal to -1

<em><u>Option 1</u></em>

\frac{1}{2}\ and\ 2

Product = \frac{1}{2} \times 2 = 1

Thus, these are not the slopes of perpendicular lines

<em><u>Option 2</u></em>

\frac{3}{4}\ and\ \frac{-4}{3}\\\\Product = \frac{3}{4} \times \frac{-4}{3}\\\\Product = -1

This option satisfies the slopes of perpendicular lines

<em><u>Option 3</u></em>

\frac{-2}{5}\ and\ \frac{-5}{2}\\\\Product = \frac{-2}{5} \times \frac{-5}{2} = 1

Thus, these are not the slopes of perpendicular lines

<em><u>Option 4</u></em>

2 and 2

Product = 2 x 2 = 4

Thus, these are not the slopes of perpendicular lines

7 0
3 years ago
Don’t know. Pls help. Pls show your work too, thank you!
Ostrovityanka [42]

Answer:

96 m^2

Step-by-step explanation:

The formula for finding the surface area of a cube is 6a^2 where a is a side length.

When you input the given value into the formula you get 6 x 4^2

When you solve that formula, you get 96

Please mark as brainliest ;)

7 0
3 years ago
Read 2 more answers
Marjorie bought 24 bottles of juice. Each day she opens and drinks 2 of these bottles of juice. Which inequality represents the
Anika [276]

Answer:

2d≤24

Step-by-step explanation:

Total number of bottled juice bought = 24 bottles

Amount she drank each day = 2 bottles

To get the inequality to represent greatest number of days she can continue before she has to replenish her stock, we will say;

1 day = 2 bottles

d days = 24 bottles

Cross multiply

2 * d = 1 * 24

2d = 24

Since we want to know the greatest number of days she can continue before she has to replenish her stock, the <u>equal to </u>to sign will be replaced with<u> less than or equal to</u> sign as shown;

2d≤24

<em>This shows that the maximum number of days she can continue before replenishing is 12days. It cannot exceed</em>

6 0
3 years ago
If u write 70000 in scientific notation the coefficient will be 70<br><br> true of false
aliina [53]

Answer:

False

Step-by-step explanation:

Scientific notation must have a number from 1-10

The answer would be 7*10^4

8 0
2 years ago
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