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TEA [102]
2 years ago
13

Which of the following are possible side lengths for a triangle

Mathematics
1 answer:
jok3333 [9.3K]2 years ago
6 0

Answer:

B

Step-by-step explanation:

The two smallest sides of a triangle must be greater than the third, larger one.

A: 6 + 2 > 9

   8 > 9

   <u>False</u>

B: 5 + 7 > 8

   12 > 8

   <u>True</u>

C: 2 + 4 > 6

   6 > 6

   <u>False</u>

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Please, somebody, solve this quick and reply with step by step explanation AND provide all steps of working!
Alexxx [7]

Answer:

For a trapezium of height H, parallel side 1 X, and parallel side 2 Y, the area is:

A = (1/2)*H*(X + Y)

with this we can complete the table.

a)

Here we know:

X = 7cm

Y = 11cm

H = 6cm

Then: A = (1/2)*6cm*(7cm + 11cm) = 54 cm^2

b)

Here we know:

X = 8 m

Y = 10 m

A = 126 m^2

Then:

126 m^2 = 0.5*H*(8m + 10m)

126 m^2 = H*9m

126 m^2/9m = H = 14m

Then the height of this trapezoid is 14m

c)

Here we know:

X = 5mm

H = 8mm

A = 72 mm^2

Then:

72 mm^2 = 0.5*8mm*(5mm + Y)

72 mm^2 = 4mm*(5mm + Y)

72mm^2/4mm = 5mm + Y

18 mm = 5mm + Y

18mm - 5mm = Y

13 mm = Y

Then the parallel side 2 is 13 mm long.

7 0
3 years ago
The area of the base of a prism is 21 cm2. The perimeter of the base is 20 cm. The height of the prism is 8 cm.
mart [117]
The lateral area of the prism equals to height * perimeter of the base. So the lateral area is 160 cm2. And the surface area of the prism equals to the area of the base*2+the lateral area= 202 cm2.
7 0
3 years ago
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. brands of cereal
Blababa [14]
This is an example of a nominal level of measurement.

In a nominal level of measurement, we are just classify the type of a variable. In this case, we are assigning a specific brand type to a particular cereal.
8 0
3 years ago
Sally has 50 pencils. 38% of them have stripes. How many have stripes?
Brums [2.3K]

Answer: 19

Step-by-step explanation:

7 0
3 years ago
A shelter has 5 dogs for every 4.cats. How many cats will the shelter have if they have 25 dogs?
olga_2 [115]

Answer:

20 cats

Step-by-step explanation:

A proportion has to be setup to answer this

5/4 = 25/x

x represents the missing number of cats

This fraction represents the relationship amongst dogs and cats

----

To solve cross multiply

5x = 100

(let me down below if you need an explanation on how to cross multiply)

Divide both sides by 5 in order to get the variable by itself

100/5 = 20

x = 20

The shelter has 20 cats

5 0
2 years ago
Read 2 more answers
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