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Lisa [10]
3 years ago
12

What is the are of a triangle (picture provided)

Mathematics
1 answer:
77julia77 [94]3 years ago
3 0

Answer:

Area Δ = 102.3 units² ⇒ The answer is (d)

Step-by-step explanation:

* Use the formula of the area:

∵ Area of the triangle = 1/2 (a)(b) sin(C)

∵ We have the length of the 3 sides

∴ Use cos Rule to find the angle C

∵ cos(C) = (a² + b² - c²)/2ab

∵ a = 25 , b = 13 , c = 17

∴ cos(C) = (25² + 13² - 17²)/2(25)(13) = 625 + 169 - 289/650 = 505/650

∴ m∠C = 39°

∴ Area Δ = (1/2)(25)(13)sin(39) = 102.3 units²

∴ The answer is (d)

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Walter took out a $6,000 loan for six years. He is being charged 6 percent interest, compounded annually. Calculate the total am
cluponka [151]

Answer:

  $8511.11

Step-by-step explanation:

Each year, the amount Walter owes is multiplied by 1.06, so at the end of 6 years, Walter owes 1.06^6 times the amount he borrowed.

  he will pay $6,000×1.06^6 ≈ $8511.11

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At the end of the first year, Walter owes the original loan amount plus 6% interest. That total is ...

  $6000 + 0.06×6000 = $6000×1.06

At the end of the following year, he owes 1.06 times that amount, or ...

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The amount owed is multiplied by 1.06 each year until Walter pays off the loan.

8 0
3 years ago
Find the value of each variable.
Harrizon [31]

Step-by-step explanation:

b is per the identity of angles on parallel lines when intersected by one inclined line the same as the 40° angle.

so,

b = 40°

due to the parallel nature of the 2 lines there is a symmetry effect for such shapes inscribed a circle. the upper and the lower triangle must be similar. and when applying a vertical line through the central crossing point, everything to the left is mirrored by everything on the right.

so, angle c must be equal to angle b.

c = 40°

and as the sum of all angles in a triangle is always 180°, d is then

d = 180 - 40 - 40 = 100°

the interior angle of the arc angle a is the supplementary angle of d (together they are 180°), because together with d they cover the full down side of the top-left to bottom-right line.

interior angle to a = 180 - 100 = 80°

due to the symmetry again, the arc angle opposite to a is the same as a.

as we know, the interior angle to a pair of opposing arc angles is the mean value of the 2 angles.

so, we have

(a + a)/2 = 80

2a/2 = 80

a = 80°

there might (and actually should) be some more direct approaches for "a" out of the other pieces of information, but that was the most straight one right out of my mind, and I don't spend time on finding additional shortcuts, when I have already a working approach.

8 0
1 year ago
Find a negative integer M so that the equation (x-12)(x+m) = m-51​
andriy [413]

Answer:

dsds

Step-by-step explanation:

dwadwdadw

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2 years ago
This stuff confuses me
Slav-nsk [51]
It's slope would be undefined.
6 0
2 years ago
Read 2 more answers
What is the rate of change of the volume of the cylinder at that instance (in cubic kilometers per second)?
Kay [80]

Answer:

hello your question is incomplete attached below is the complete question

answer : -2400 π

Step-by-step explanation:

dr/dt = -12 km/s

h = 2.5 km

r = 40 km at some instant

hence the rate of change of Volume of cylinder at that instance

= dv / dt = d(\pi r^h ) / dt  

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hence ; dv / dt = -2400 π

3 0
2 years ago
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