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Vikki [24]
3 years ago
10

which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?

Mathematics
1 answer:
sdas [7]3 years ago
6 0

Answer:

Obtuse triangle.

Step-by-step explanation:

Side a = 5

Side b = 2

Side c = 4

Angle ∠A = 108.21° = 108°12'36" = 1.88862 rad

Angle ∠B = 22.332° = 22°19'54" = 0.38976 rad

Angle ∠C = 49.458° = 49°27'30" = 0.86321 rad

Since one angle is above 90 degrees, the triangle is obtuse triangle.

This cannot be an acute triangle.

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Simplify the expression.<br> 2x³y +7x³y-xy³
jek_recluse [69]

Answer:

xy*(2x^2 + 7x^2 - y^2)

Step-by-step explanation:

You can get xy out of the expression since all have xy

7 0
2 years ago
A=4ℼR2 solve for R<br> SHOW ALL STEPSSSSS NOWWWWWWWW!!!!!!!!! PLZZZZZZZ
makkiz [27]

Answer:

b

Step-by-step explanation:

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8 0
3 years ago
In 2010, the population of a city was 161,000. From 2010 to 2015, the population grew by 8%. From 2015 to 2020, it fell by 6.7%.
solniwko [45]

Answer:

99%

Step-by-step explanation:

2010 population = 161,000

From 2010 to 2015, the population grew by 8%.

2010 to 2015 = 161,000 + (8% of 161,000)

= 161,000 + (0.08 * 161,000)

= 161,000 + 12,880

= 173,880

2010 to 2015 = 173,880

From 2015 to 2020, it fell by 6.7%

2015 to 2020 = 173,880 - (6.7% of 173,880)

= 173,880 - (0.067 * 173,880)

= 173,880 - 11,649.96

= 162,230.04

2015 to 2020 = 162,230.04

what percent did the city grow from 2010 to 2020.

= 161,000 / 162,230.04 × 100

= 0.9924179270374 × 100

= 99.241792703743

Approximately, 99% to the nearest whole number

4 0
2 years ago
Who can answer this
ipn [44]

Answer:

Check pdf

Step-by-step explanation:

Download pdf
6 0
3 years ago
What is an equation of a circle with center (2, -1) that passes through the point (3, 4)?
Svet_ta [14]

Answer:

<em>(x - 2)^2 + (y + 1)^2 =  26</em>

Step-by-step explanation:

A circle with center O(2, -1) that passes through the point A(3, 4).

=> The radius of this circle is OA which could be calculated by:

OA = sqrt[(3 - 2)^2 + (4 - (-1))^2] = sqrt[1^2 + 5^2] = sqrt[26]

The equation of a circle with center O(a, b) and radius r could be written as:

(x - a)^2 + (y - b)^2 = r^2

=> The equation of circle O above with center O(2, -1) and radius = sqrt(26) is shown as:

    (x - 2)^2 + (y - (-1))^2 = (sqrt(26))^2

<=>(x - 2)^2 + (y + 1)^2 = 26

Hope this helps!

4 0
3 years ago
Read 2 more answers
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