3 years ago

In △ABC,a=34, b=18, and c=17. Find m∠A. A. 14.1 B. 132.6 C. 152.5 D. 101.5

Mathematics

1 answer:

igomit [66]3 years ago

8 0

Answer:

C. m < A = 152.5 degrees.

Step-by-step explanation:

Use the Cosine Rule:

a^2 = b^2 + c^2 - 2.b.c.cos A

34^2 = 18^2 + 17^2 - 2.18.17 cos A

2.18.17 cos A = 18^2 + 17^2 - 34^2

cos A = (18^2 + 17^2 - 34^2) / (2.18.17)

cos A = -0.88725

m < A = 152.5 degrees.

You might be interested in

3 bananas and 1 apple cost £2.45 <br> 1 apple costs £0.35 <br> How much does 1 banana cost?

krok68 [10]

$2.10 hope this helps

4 0

3 years ago

Read 2 more answers

Which statement compares the two numbers correctly?

Alex_Xolod [135]

Six hundred seventy-two thousandths <0.8

7 0

3 years ago

Read 2 more answers

The most recent census for a city indicated that there were 919,716 residents. The population of the city is expected to increas

OLEGan [10]

Answer:

1,474,951.

Step-by-step explanation:

Given a population that increases by a constant percentage, we can model the population's growth using the exponential model.

$P(t)=P_o(1+r)^t,$ where \left\{\begin{array}{lll}P_o=$Initial Population\\r$=Growth rate\\$t=time (in years)\end{array}\right\\P_o=919,716\\r=3.7\%=0.037\\$t=13 years$

Therefore, the population of the city in 13 years time will be:

$P(t)=919,716(1+0.037)^{13}\\\\=919,716(1.037)^{13}\\\\=1,474,950.9\\\\\approx 1,474,951$

The population be at that time will be approximately 1,474,951.

3 0

4 years ago

What is the solution for <br> 10+2w>=22 or 5w-8>-12

Marina CMI [18]

Answer:

no solution

Step-by-step explanation:

10+2w>=22 or 5w-8>-12

10-2w>=22 or (5w-2w)-8>-12

10>=22 or 3w+8>12

18>=22 or 3w>12

18/3>=22 or 3w/3>12

6>=22 or w>12

3 0

2 years ago

Find the x-coordinate of the vertex of a parabola if the x-intercepts are (3,0) and<br> (-9,0)

madam [21]

Answer:

x = -3

Step-by-step explanation:

The vertex lies on the axis of symmetry, whose x-coordinate is halfway between -9 and 3: x = -3

8 0

3 years ago