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Aleksandr-060686 [28]
3 years ago
10

Sin theta= -4/5, tan theta >0

Mathematics
1 answer:
Maru [420]3 years ago
8 0
         sin(θ) = ⁻⁴/₅
sin⁻¹[sin(θ)] = sin⁻¹(⁻⁴/₅)
               θ ≈ -53.13

      tan(θ) > 0
tan(53.13) > 0
         1.33 > 0
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The ratio of the perimeters of two similar triangles is 4:3. What are the areas of these triangles if the sum of their areas is
emmasim [6.3K]

Answer:

the areas of these triangles are 83.2cm² and 46.8cm²

Step-by-step explanation:

1. If the triangles are similar and the ratio of the perimeter ois 4:3, then the areas are in the following ratio:

4²:3²

 16:9                                                                      

2. The sum of their areas is 65 cm², then, you can calculate the area of the larger triangle as following:

130(16/16+9)

130(0.64)

=83.2cm²

3. The area of the smaller triangle is:

130(9/16+9)

130(0.36)

46.8cm²

<u>Hope this help</u>s

6 0
3 years ago
You deposit $400in an account. The account earns $18 simple interest in 9 months. What is the annual interest rate?
Masteriza [31]

Answer:

.5

Step-by-step explanation:

if you put 400 in an account and for nine months with 0.5 interest rate you would get 418.41 so 0.5 is the answer

7 0
2 years ago
Secx tanx=√3(0&lt;×&lt;360)​
Vladimir79 [104]

Answer:

x = 60°

Step-by-step explanation:

Bcz tan60° = √3

Hope you got it.

5 0
3 years ago
The population of Farmersville can be modeled by the inequality y &gt; 2,000x + 2,100, where x is the number of years since 2010
Kaylis [27]

Answer:

The population can be greater than 6,100 but less than 6,300, and thus, we cannot determine if the population of Farmersville will be greater than 6,300 in 2012.

Step-by-step explanation:

Inequality for the population of Farmsville:

The inequality for the population of Farmsville in x years after 2010 is given by:

y(x) > 2000x + 2100

Will the population of Farmersville be greater than 6,300 in 2012?

2012 is 2012-2010 = 2 years after 2010, so we have to find y(2).

y(2) > 2000(2) + 2100

y(2) > 6100

The population can be greater than 6,100 but less than 6,300, and thus, we cannot determine if the population of Farmersville will be greater than 6,300 in 2012.

3 0
3 years ago
Equivalent to y-0.32y
larisa86 [58]
Y-0.32y  if you factor you would see:

y(1-0.32)

y(0.68) so

0.68y  or even 68y/100=17y/25  are equivalent....
3 0
3 years ago
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