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maw [93]
2 years ago
7

Height of trapezium if the area given is 124Short base: 12 cmLong base: 19 cmHeight:?

Mathematics
1 answer:
Romashka-Z-Leto [24]2 years ago
8 0

Answer:

A= 0.5 x (a+b) x h

124 = 0.5 x (12+19) x h

124 = 15.5 x h

÷15.5

h = 8cm

0.5x(12+19) x 8 does gives 124

Thus, height is 8cm.

Hope this helps!

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last month , he sold 50 chickens and 30 ducks for $550 . This month , he sold 44 chickens and 36 ducks for $532. How much does a
Kazeer [188]
Hello there, my fellow human being!
So, the chicken costs $8 and the duck costs $5, here's why.

Let's say x is the cost of a chicken while y is the cost of a duck.
We can make two linear equations using the information above.
Last month, he sold 50 chickens and 30 ducks for $550: 50x + 30y= 550
This month, he sold 44 chicken and 36 ducks for $532: 44x + 36y = 532

50x/10 + 30y/10 = 440/10
44x/4 + 36y/4 = 532/4

5x + 3y = 44
11x + 9y = 133

So, now that we have our answer simplified, we have to use elimination to solve this system of equations. But, first we need to make sure that at least one of our variables is able to be canceled out.
Let's multiply this equation by -3.
(5x + 3y = 44) * -3.

-15x-9y=-165.

11x + 9y = 133
-15x - 9y = -165
______________
-4x/4 = -32/4
x = 8
11x + 9y = 133
11(8) + 9y = 133
88 + 9y = 133
-88 -88
________________
9y/9 = 45/9
y = 5.
4 0
3 years ago
Read 2 more answers
Burger town sells cheeseburgers for $7.95 each plus the cost of a soda, s Which of the following equations best represents the c
Greeley [361]

Answer:

The equation woulds be

D. C = 7.95 + s

6 0
3 years ago
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Devin has 48 gingerbread cookies and 60 candy canes that he will put in gift bags for his friends and family. What is the greate
spin [16.1K]

Answer:

12 is the largest one number of gift bags he can make. Each will have 4 gingerbread cookies and 5 candy canes

Step-by-step explanation:

8 0
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Suppose you got 8 mangoes and 3 apples for $18 and 3 mangoes and 5 apples for $14.50. How much does each mango and each apple co
pshichka [43]

The mango costs $1.5 and the apple costs $2.

6 0
3 years ago
Can someone please help on both questions!! Thank you
mafiozo [28]

Question 7

<h3>Answer: A) 15</h3>

---------------------

Work Shown:

angle B = angle D = 56

angle C = angle F = 64

The missing angle A adds with B and C to get 180

A+B+C = 180

A = 180-B-C

A = 180-56-64

A = 60

Since angles B and D are congruent, and C and F are congruent, this must mean angle A = angle E. I'm using the angle angle (AA) similarity rule.

angle E = angle A

3x+15 = 60

3x = 60-15

3x = 45

x = 45/3

x = 15

Side note: I'm not sure why your teacher marked angle E as the same as angles C and F.  They should have used another angle marker to indicate that angles A and E are the same.

================================================

Question 8

<h3>Answer: B) 17</h3>

------------------------------

Work Shown:

Triangle ABC is congruent to triangle EDF. The order is important. We have A first, then B, then C for ABC. Also, we have E first, then D, then F for EDF.

Therefore, we have these three pairings

  • angle A = angle E
  • angle B = angle D
  • angle C = angle F

We'll first need angle C

A+B+C = 180

C = 180-A-B

C = 180-42-108

C = 30

which we'll then solve for x

angle F = angle C

4x-4 = 30

4x = 30+4

4x = 34

x = 34/4

x = 8.5

which doubles to

2x = 2*8.5

2x = 17

7 0
3 years ago
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