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2 years ago

Steven draws △ABC, with m∠ABC = 110°, m∠BAC = 40°, and m∠BCA = 30°.

Mathematics

1 answer:

Natalka [10]2 years ago

3 0

Answer:

Step-by-step explanation:

angle bac and bca need to be acute and similar in size and angle abc needs to be an obtuse angle. This is the only triangle where angle abc is obtuse.

You might be interested in

What does estimate mean?

Julli [10]

Estimate means to give a guess kinda. When you estimate lets say someone has 4 cookies and they also have $20 and the cookies are $6 a dozen. Take 20 divide it by 6 which would be 3.3333. That person can buy 3.3333 dozens. If you estimate that person can buy a total of 3 dozen. Hope this helped ;)

8 0

3 years ago

Suppose that you are designing a new shock absorber for an automobile. The car has a mass of 1000 kg (kilograms) and the combine

asambeis [7]

Answer:

4.77, approximately 5 cycles per minute

Step-by-step explanation:

For a loaded spring, the frequency of oscillation is given by

$f=\dfrac{1}{2\pi}\sqrt{\dfrac{m}{k}}$

where $m$ Vis the mass of the load and $k$ is spring constant.

Substituting values in the question,

$f=\dfrac{1}{2\pi}\sqrt{\dfrac{1000}{4000}}$

$f=\dfrac{1}{2\pi}\sqrt{\dfrac{1}{4}}$

$f=\dfrac{1}{2\pi}\times\dfrac{1}{2}$

$f=\dfrac{1}{4\pi}$

This value is in units of oscillations per second. To convert to oscillations per minute, we divide by $\frac{1}{60}$ or, in essence, multiply $f$ by 60.

Thus, we have

$f=\dfrac{1}{4\pi}\times60$

$f=\dfrac{15}{\pi}= 4.77 \text{ cycles per minute}$

4 0

3 years ago

Please answer with explanation

AVprozaik [17]

Answer:

1. if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = 6/2= 3. Thus, the equation describing this direct variation is y = 3x.

2. Partial Variation, where two variables are related by a formula, such as the formula for a straight line (with a non-zero y-intercept)

example :

in the milk factory Carol makes $10 per hour but gets an extra $20 from another job. since Carol gets a $20 allowance regardless of how much she works, if we want to represent Carol's situation in the form of an equation, it would be

Y=10x + 20

therefore if she worked zero hours

(Y=10(0) + 20),

she would still make $20 unconditionally and for every hour she works, she gets $10 more including the initial $20.

thus Carol's equation would be a partial variation, since her income doesn't entirely depend on how much she works.

3. a relation is non linear because it is has a direct relationship between an independent variable and a dependent variable.

In a relation, changes in the output do not change in direct proportion to changes in any of the inputs.

relations does not create a straight line but instead creates a curve.

3 0

3 years ago

A cone has a volume 8pie cubic inches. And 6in height

dalvyx [7]