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lukranit [14]
4 years ago
10

Find the area of a trapezoid, in which b1=13cm, b2=16cm, and h=3cm.

Mathematics
1 answer:
Fed [463]4 years ago
4 0

Answer:

b 43.5 cm^2

Step-by-step explanation:

The area of a trapezoid is found by using the formula

A = 1/2 (b1+b2) h

where b1 and b2 are the lengths of the bases

A = 1/2(13 +16) *3

A = 1/2 (29)*3

A = 43.5 cm^2

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Find the point that is 1/5 the way from A to B where<br> A(-7,4) and B(3, 10).
mestny [16]

Answer:

The coordinates of the point that is 1/5 the way from A to B  is (x,y) = (-5,\frac{26}{5})

Step-by-step explanation:

Here, the given points are: A (-7,4) and B (3,10)

Let us assume  the point M(x,y) on AB is such that

AM : AB = 1 : 5

⇒ AM  : (AB - AM) = 1 : (5-1)  = 1: 4

⇒ AM  : MB  = 1 : 4

Now, The Section Formula states the coordinates of point (x,y) on any line dividing the line in the ratio m1 : m2

(x,y) = (\frac{m_2x_1+m_1x_2}{m_1+m_2} ,\frac{m_2y_1+m_1y_2}{m_1+m_2}  )

Here, in the given equation, m1: m2 = 1:4

So, the coordinates M(x,y) is given as:

(x,y) = (\frac{(-7)(4) + 1 (3)}{1+ 4} ,\frac{4(4) + 1(10)}{1+4}  )\\\implies (x,y) = (\frac{-28+3}{5} ,\frac{16+10}{5} )  = (\frac{-25}{5} ,\frac{26}{5} )\\\implies (x,y) = (-5,\frac{26}{5} )

Hence, the coordinates of the point that is 1/5 the way

from A to B  is (x,y) = (-5,\frac{26}{5})

5 0
3 years ago
if it takes 3 cups of sugar and 4 1/2 cups of flour for the recipe how many cups of flour for 4 cups of sugar
Vitek1552 [10]

Answer:6 cups

Step-by-step explanation:

3/4.5=4/x

Cross product

3x=18

X=18/3

X=6

8 0
4 years ago
The base area of a cylinder is 200.96m2
Vitek1552 [10]

Answer:

Step-by-step explanation:

Volume of cylinder = base area * height

height of the cylinder = Volume of the cylinder ÷ base area

                                   = 1205.76 ÷ 200.96

                                   = 6 in

7 0
2 years ago
Which arc is a minor arc? <br><br> SQ<br><br> PSR<br><br> PS
laila [671]

Answer:

probably would say PS would be your best

4 0
3 years ago
Which of the following values is not a perfect square?<br> a.81<br> b.125<br> c.49<br> d.100
SashulF [63]

Answer: b. 125

Step-by-step explanation:

Find the square roots of each, and if the square root is a decimal, it is not a perfect square.

Square root of 81: 9

Square root of 49: 7

Square root of 100: 10

That leaves 125.

4 0
2 years ago
Read 2 more answers
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