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3 years ago

The graph below represents which system of inequalities?

Mathematics

1 answer:

Phoenix [80]3 years ago

7 0

Look at the picture.

(0; -2) → y = 2x - 2

(0; 3) → y = -x + 3

y ≤ 2x - 2
y > -x + 3

Answer: C.

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The figure below is Circle E. Line CF is tangent at point C.

slava [35]

Answer:

Part 1) $m$

Part 2) $m$

Part 3) $m$

Step-by-step explanation:

Part 1) Find the measure of angle ECF

we know that

CF is tangent at point C

the radius EC is perpendicular to the tangent CF

therefore

$m$

Part 2) Find the measure of angle AKB

we know that

The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite

$m$

substitute the values

$m$

Part 3) Find the measure of angle ACF

we know that

The inscribed angle is half that of the arc it comprises

$m$

substitute the values

$m$

8 0

3 years ago

Read 2 more answers

Julia has already saved $92 for a trip. If she saves an additional $15 a week for her vacation, how many weeks (w) will it take

Alex_Xolod [135]

92+ 15x > $800 I cannot do the greater than or equal sign on my phone.
15x> 800-92
15x> 708
X > 47.2 weeks… this should be greater than or equal to 47.2 weeks or if whole weeks, 48 weeks

Not sure if you need a whole number (week) or a fraction of week to answer. If whole week, it would need to be greater than or equal to 48 weeks

7 0

2 years ago

Use a calculator to approximate acute angle A to the nearest whole degree sin A=0.6 Measure of angle A =

Bas_tet [7]

Answer:

$m \angle A = 37^{\circ}$

Step-by-step explanation:

Let be $\sin A = 0.6$ , then we must solve for $A$ by means of the following expression:

$A = \sin^{-1} 0.6$ (1)

Since it is an inverse trigonometric function, it can be solved only by numerical methods such as application of infinite series such as Taylor series. This approach is used for current scientific calculators. According to scientific calculator we have the following result:

$A = \sin^{-1} 0.6 \approx 36.87^{\circ} \to 37^{\circ}$