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nydimaria [60]
2 years ago
14

the area of the triangle below is 1/4 square meters. what is the length of the base. express your answer in simplest form

Mathematics
1 answer:
Alexeev081 [22]2 years ago
5 0

Answer:

4/5

Step-by-step explanation:

<u>Given</u>,

Area of the triangle = 1/4 square meters

From the diagram,

Height = 2/5 m

<u>To find</u> : Length of the base

<u>Formula</u> : -

A = bh/2

Here,

A denotes Area

b denotes Base

h denotes Height

A = 1/4

h = 2/5

A = bh/2

Cross multiply,

A * 2 = bh

2A = bh

2 * (1/4) = b * (2/5)

(1 * 2)/4 = (b * 2)/5

2/4 = 2b/5

1/2 = 2b/5

Cross multiply,

1 * 5 = 2 * 2b

5 = 4b

b = 4/5 meters

Hence,

The length of the base is 4/5 meters.

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The combined ages of a dog and his owner are 96 years in total. The owner is 3 times older than his dog. How old is the owner?
nikitadnepr [17]

Answer:

72 yrs old.

Step-by-step explanation:

The combined age

D+O=96

The owner is 3 times older than dog

O=3D

D+3D=96

4D = 96

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Now substitute the value of D in O=3D

O=3.24= 72

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5 0
3 years ago
Pls anwer this qestion it is worth 30 points
Sveta_85 [38]

Answer:

49

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25b² + 70b + ....

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6 0
3 years ago
The 3rd term of a geometric sequence is -1/3 and the 8th term is 81. what is the 11th term?
shepuryov [24]

Answer: t_{11}=-2187

Step-by-step explanation:

t_{3}=-1/3

That is :

ar^{2} = -1/3 ................. equation 1

Also

t_{8}=81

that is

ar^{7}=81 ................. equation 2

divide equation 2 by equation 1 , that is

\frac{ar^{7}}{ar^{2}} = 81 / -1/3

r^{5}= 81 x -3/1

r^{5}= -243

find the fifth root of both sides

r = -3

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a(-3^{2})= -1/3

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To find the 11th term , the formula for the 11th term is given as :

t_{11}=ar^{10}

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4 years ago
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