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garri49 [273]
3 years ago
15

3. List the angles of the triangle in order from smallest to largest.

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
6 0

Answer:

The list of angles of the triangle in order from smallest to largest will be: A < C < B

Hence, option 'e' is true.

i.e (A,C,B)

Step-by-step explanation:

We know that in a triangle the greater angle has the longer side opposite to it.

From the given triangle,

Side AC = 7.2 is the longer side. Thus, B is the largest angle as it is opposite to the longer side AC = 7.2.

Then comes the second-longest side AB=4.9. Thus, C is the 2nd largest angle it is opposite to the second-longest side AB=4.9.

Finally comes the shortest side BC = 3.2. Thus, A is the shortest angle as it is opposite to the shortest side BC = 3.2.

Thus, the list of angles of the triangle in order from smallest to largest will be: A < C < B

Hence, option 'e' is true.

i.e (A,C,B)

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Luiza is jumping on a trampoline.
lyudmila [28]

Answer:

The second time when Luiza reaches a height of 1.2 m = 2 08 s

Step-by-step explanation:

Complete Question

Luiza is jumping on a trampoline. Ht models her distance above the ground (in m) t seconds after she starts jumping. Here, the angle is entered in radians.

H(t) = -0.6 cos (2pi/2.5)t + 1.5.

What is the second time when Luiza reaches a height of 1.2 m? Round your final answer to the nearest hundredth of a second.

Solution

Luiza is jumping on trampolines and her height above the levelled ground at any time, t, is given as

H(t) = -0.6cos⁡(2π/2.5)t + 1.5

What is t when H = 1.2 m

1.2 = -0.6cos⁡(2π/2.5)t + 1.5

0.6cos⁡(2π/2.5)t = 1.2 - 1.5 = -0.3

Cos (2π/2.5)t = (0.3/0.6) = 0.5

Note that in radians,

Cos (π/3) = 0.5

This is the first time, the second time that cos θ = 0.5 is in the fourth quadrant,

Cos (5π/3) = 0.5

So,

Cos (2π/2.5)t = Cos (5π/3)

(2π/2.5)t = (5π/3)

(2/2.5) × t = (5/3)

t = (5/3) × (2.5/2) = 2.0833333 = 2.08 s to the neareast hundredth of a second.

Hope this Helps!!!

4 0
3 years ago
If the surface area of the box of cereal is 272 inches squared, find the length of the box.
LekaFEV [45]

Answer:

x= 8 inches

Step-by-step explanation:

you left out the other lengths but since i had this same question once, the other lengths are 12 and 2-

dimensions of the box:

12 in x 2 in x ?

=272 square inches

and we know that there are 6 faces

area=  2 *(12 * 2) + 2 *(2*x) + 2 *(12*x)

area = 272 sq. in.  = 48 + 4x + 24x

272 = 48 + 28x

272 - 48 = 28x

224 = 28x

x = 8 inches

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

5 0
3 years ago
2 Points
Nesterboy [21]

Answer:105

Step-by-step explanation:55-66=74 74times

3 0
3 years ago
Kacie has a balance of $10,000 on a loan with an annual interest rate of 8%. To pay off the $10,000 in four years, Kacie will ha
SOVA2 [1]

Kacie has a balance of $10,000 on a loan with an annual interest rate of 8%. To pay off the $10,000 in four years, Kacie will have to make a minimum payment is $244.13 per month. How much will kacie pay in interest over the four year period?

A.) $1.088.20

B.) $1,718.24

C.) $2,971.99

D.) $11,718.24

8 0
3 years ago
Rosa wants 2 pairs of jeans that cost $32 each .she has a coupon for $10 off the price of one pair .what price will rosa pay for
Phoenix [80]

Answer:

$54

Step-by-step explanation:

An expression for the total cost would be:

1($32) + ($32-$10) = $32 + $22 = $54

8 0
4 years ago
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