3 years ago

Evaluate this:8 + 24 divided by (2 x 6)-4

Mathematics

2 answers:

frez [133]3 years ago

5 0

6 :). Hope this helps

8090 [49]3 years ago

3 0

8+24= 32 x 12=2.6-4= 1.3

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How do you solve -k/5 times 7/5

Firdavs [7]

Answer:

$\frac{-7}{25}k$

Step-by-step explanation:

$\frac{-k}{5} *\frac{7}{5}$

just multiply across

-k*7=-7k

5*5=25

$\frac{-7}{25}k$

hope this helps

5 0

2 years ago

Find the area of the regular trapezoid. The figure is not drawn to scale. The top side is 4, the bottom side is 7, and both side

svp [43]

A regular trapezoid is shown in the picture attached.

We know that:
DC = minor base = 4
AB = major base = 7
AD = BC = lateral sides or legs = 5

Since the two legs have the same length, the trapezoid is isosceles and we can calculate AH by the formula:

AH = (AB - DC) ÷ 2
= (7 - 5) ÷ 2
= 2 ÷ 2
= 1

Now, we can apply the Pythagorean theorem in order to calculate DH:
DH = √(AD² - AH²)
= √(5² - 1²)
= √(25 - 1)
= √24
= 2√6

Last, we have all the information needed in order to calculate the area by the formula:

$A = \frac{(AB + CD)DH}{2}$

A = (7 + 5) × 2√6 ÷ 2
= 12√6

The area of the regular trapezoid is 12√6 square units.