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3 years ago

Triangle ABC is an obtuse triangle with the obtuse angle at vertex B. Angle A must be

Mathematics

1 answer:

galina1969 [7]3 years ago

8 0

Answer:

"less than 90°."

Step-by-step explanation:

This is because an obtuse triangle can be defined as "An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles." Therefore, there can only be ONE obtuse angle. Therefore, with the obtuse angle being at vertex B, there cannot be another one at vertex A.

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Complete the statement: 63mi/h = ? mi/sec

snow_tiger [21]

Answer:

63mi/h = 0.0175 mi/sec , hope this helps you

4 0

3 years ago

At the beginning of a population study, the population of a large city was 1.65 million people. Three years later, the populatio

Maksim231197 [3]

Answer:

C. 1.8027

Step-by-step explanation:

The exponential population growth model is given by:

$P(t) = P_{0}e^{rt}$

In which P(t) is the population after t years, $P_{0}$ is the initial population and r is the growth rate.

At the beginning of a population study, the population of a large city was 1.65 million people. Three years later, the population was 1.74 million people.

This means that $P_{0} = 1.65, P(3) = 1.74$

Applying this to the equation, we find r. So

$P(t) = P_{0}e^{rt}$

$1.74 = 1.65e^{3r}$

$e^{3r} = \frac{1.74}{1.65}$

$e^{3r} = 1.0545$

Applying ln to both sides

$\ln{e^{3r}} = \ln{1.0545}$

$3r = \ln{1.0545}$

$r = \frac{\ln{1.0545}}{3}$

$r = 0.0177$

$P(t) = 1.65e^{0.0177t}$

What would be the population of the city 5 years after the start of the population study?

This is P(5).

$P(t) = 1.65e^{0.0177t}$

$P(5) = 1.65e^{0.0177*5}$

$P(5) = 1.8027$

So the correct answer is:

C. 1.8027

6 0

4 years ago

Solve for x. 5/3=x-4/2 Simplify your answer as much as possible.

lianna [129]

Answer:

Step-by-step explanation:

5/3=x-4/2

10=x-12

x=22

8 0

3 years ago

Read 2 more answers

1 Look at the figure

sattari [20]

Answer:

D. 8-cm square

Step-by-step explanation:

The smaller square shown on the figure has an area of 15×15 = 225. The sum of the two smaller square areas must equal the larger square area, so the smallest square must have an area of ...

289 -225 = 64

Its side dimensions will be √64 = 8 cm.

The diagram is correctly completed by the 8 cm square.

5 0

3 years ago

What is the answer to this equation 3 + 3/2x + 4 = 4x - 5/2x

agasfer [191]

Answer:

No solution

Step-by-step explanation:

When we take the 5/2 x to the other side, 4x and 4x cancels out. We get 7=0 which is incorrect. Therefore, x has no solution.

By the way, can you follow me on Brainly?

Thanks!

3 0

3 years ago

Read 2 more answers