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vesna_86 [32]
2 years ago
6

A triangle has angle measures of 18° and 57°. What is the measure of the third angle?

Mathematics
1 answer:
Pachacha [2.7K]2 years ago
5 0

Answer:

105°

Step-by-step explanation:

Measure of the third angle

= 180° - 18° - 57° (angle sum of triangle)

= 105°

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Find the length of the​ arc, s, intercepted by the given central​ angle, thetaθ​, in a circle of​ radius, r. θ=30 ​rad; r=18 m.
Charra [1.4K]

Answer:

540 m

Step-by-step explanation:

We are given that

Central angle,\theta=30rad

Radius of circle=18 m

We have to find the length of the arc s.

We know that

Length of arc,s=r\theta

Using the formula then, we get

Length of arc,s=18\times 30=540 m

Hence, the length of arc=540 m

7 0
3 years ago
Which equations represent exponential growth? Which equations represent exponential decay? Drag the choices into the boxes to co
Norma-Jean [14]

Answer:

Exponential growth functions are:

A=20000(1.08)^{t}

A=40(3)^{t}

A=1700(1.07)^{t}

Exponential decay functions are:

A=80(\frac{1}{2})^{t}=80(0.5)^{t}

A=1600(0.8)^{t}

A=1700(0.93)^{t}

Step-by-step explanation:

Given:

An exponential function is of the form y=ab^{x}, where, a\ne 0.

Now, if a > 0 and b > 1, then the exponential function represent exponential growth.

If a > 0 and 0 < b < 1, then the exponential function represent exponential  decay.

Let us check each function now.

Option 1: A=20000(1.08)^{t}

Here, a = 20000, b = 1.08

As 1.08 > 1, the function is exponential growth.

Option 2: A=80(\frac{1}{2})^{t}=80(0.5)^{t}

Here, a = 80, b = 0.50

As 0.5 < 1, the function is exponential decay.

Option 3: A=1600(0.8)^{t}

Here, a = 1600, b = 0.8

As 0.8 < 1, the function is exponential decay.

Option 4: A=40(3)^{t}

Here, a = 40, b = 3

As 3 > 1, the function is exponential growth.

Option 5: A=1700(1.07)^{t}

Here, a = 1700, b = 1.07

As 1.07 > 1, the function is exponential growth.

Option 6: A=1700(0.93)^{t}

Here, a = 1700, b = 0.93

As 0.93 < 1, the function is exponential decay.

5 0
3 years ago
If someone could get both it would be greatly appreciated
Irina-Kira [14]
The answer to your question is 8.6
7 0
3 years ago
Read 2 more answers
11. What is the reciprocal of 6/5?<br> OA. 12/20<br> OB.11/5<br> OC.1<br> OD.576
Elanso [62]

Answer: The answer is D, 5/6.

Step-by-step explanation: The reciprocal of a fraction is that fraction but the numerator and denominater swapped places.

3 0
3 years ago
Read 2 more answers
PLS NEED HELP WITH 3 AND 4
Rainbow [258]

Answer:

the first one is 62 and the second one

Step-by-step explanation:

i dont know the second one

3 0
3 years ago
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