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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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Check:

12 = 44 - (34 - 2)
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5 0
3 years ago
Ten samples of a process measuring the number of returns per 100 receipts were taken for a local retail store. The number of ret
Tatiana [17]

Answer:

0.0273

Step-by-step explanation:

np  n

10  100

9    100

11   100

7    100

3   100

12  100

8   100

4    100

6    100

11   100

pbar=sumnp/sumn

pbar=10+9+11+7+3+12+8+4+6+11/10+10+10+10+10+10+10+10+10+10

pbar=81/1000

pbar=0.081

nbar=sumn/k=1000/10=100

Standard deviation for pbar chart=\sqrt{\frac{pbar(1-pbar)}{nbar} }

Standard deviation for pbar chart=\sqrt{\frac{0.081(0.919)}{100} }

Standard deviation for pbar chart=\sqrt{\frac{0.0744}{100} }

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3 0
3 years ago
The National Science Organization is monitoring the continuous exponential decline of an insect species due to deforestation. Th
kakasveta [241]

Answer:

P\geq 26e^{-0.079t}

P\geq 2

Step-by-step explanation:

We are given that there is an exponential decay.

Also, the decrease is of constant rate 7.9% i.e. 0.079 each year.

Since, the initial amount of the species is atleast 26 million.

Thus, the inequality for the corresponding model will be, P\geq 26e^{-0.079t},

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Moreover, is is given that the population cannot be less than 2 million.

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Hence, the inequalities to determine the possible number of insects over time are given by,

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4 0
3 years ago
What else would need to be congruent to show that ABC= DEF by ASA?
babunello [35]

Answer:

Option A

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Opt.B would be a second sude (SAS)

Opt.C is already given

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5 0
3 years ago
Use the functions f(x) = 4x − 5 and g(x) = 3x + 9 to complete the function operations listed below.
JulijaS [17]
A:

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B:

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C:

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(f○g)(x)=12x+36-5

(f○g)(x)=12x+31


6 0
3 years ago
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