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12345 [234]
3 years ago
15

Help please !!! I’m stuck on these problems

Mathematics
1 answer:
Sauron [17]3 years ago
4 0

Answer:

b=6.8\ units

Step-by-step explanation:

we know that

Applying the law of sines in the triangle ABC

\frac{AB}{sin(C)}=\frac{AC}{sin(B)}

substitute the given values

\frac{15}{sin(140\°)}=\frac{b}{sin(17\°)}

Solve for b

b=(sin(17\°))\frac{15}{sin(140\°)}

b=6.8\ units

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Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries. He plans to achieve this goal by visi
olasank [31]

Given :

Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries.

He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years.

To Find :

Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal.

Solution :

Let, after x years Abraham visited y countries.

It is mathematically given as :

10 + 5x=y

Now, it is given that his goal is minimum of 50 countries.

So,

10+5x \ge 50\\\\5x\ge 40\\\\x \ge 8

Therefore, minimum years required to meet his goals are 8.

Hence, this is the required solution.

4 0
3 years ago
The side lengths, in centimeters, of a triangle are 5x, 32, and 2(3x + 2). perimeter of the triangle is 80 centimeters. what is
Lerok [7]

Answer:

20 cm

Step-by-step explanation:

5x + 32 + 6x + 4 = 80

11x + 36 = 80

11x = 44

x = 4

sides of triangle:

5(4) = 20 cm

32 cm

6(4) + 2 = 26 cm

4 0
3 years ago
Identify the lateral area and surface area of a regular triangular pyramid with base edge length 14 cm and slant height 15 cm
posledela

Answer:

D) L = 315 cm2 ; S = 399.9 cm2

Step-by-step explanation:

Lateral area;

3 × (½)(14)(15)

315 cm²

Surface area:

315 + (½)(14)(14)sin(60)

399.8704896 cm²

6 0
3 years ago
Read 2 more answers
What is the dependency ratio?
shutvik [7]

Answer:The dependency ratio is an age-population ratio of those typically not in the labor force and those typically in the labor force. It is used to measure the pressure on the productive population

Step-by-step explanation:

6 0
3 years ago
Simplify -(-2a + 13) + (-9a - 2) - (-7a - 3)
nadya68 [22]
-12 hope it helps :)
5 0
4 years ago
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