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PtichkaEL [24]
3 years ago
8

Find the measure of d.

Mathematics
2 answers:
lorasvet [3.4K]3 years ago
7 0

Answer:

50°

Step-by-step explanation:

Recall that an inscribed angle is half the arc length. Since Angle A measures 50°, this means that the arc length of BC (the intercepted arc) is 100°.

Arc BC is also representative of Angle D. In other words, the measure of angle D is half of 100°.

Angle D = 50°.

xxMikexx [17]3 years ago
4 0

Answer:

d = 50°

Step-by-step explanation:

Inside a circle we can have inscribed angles (angles with the three points on the circle). These angles are half the length of the arc they inscribe.

The arc BC is inscribed by the angle of 50°, so we have:

50 = mBC/2

mBC = 100\°

The angle d inscribes the arc BC, so we have:

d = mBC/2

d = 100/2

d = 50\°

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An item is regularly priced at $40. It is on sale for 30% off the regular price. What is the sale price?
morpeh [17]

40$ - 100% (full price)

x$ - 70% (100-30=70%)

40 * 70 = 100x

2800 = 100x

x = 28

Answer 28$

or

40$ = 100%

then 1% = 40/100 = 0.4$

so 70% will be 0.4 * 70 = 28$

8 0
3 years ago
David split 3/4 pounds of candy among 4 people. What is the unit rate in pounds per person. write your answer in simplest form
luda_lava [24]
1/2 pounds per person .
8 0
3 years ago
How to do question 1?Had no idea how to do both parts
givi [52]
y=\dfrac{\ln x}{3x-6}

Differentiate both sides with respect to x:

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{3x-6}x-3\ln x}{(3x-6)^2}

When x=1, you have

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{3-6}1-3\ln1}{(3-6)^2}=\dfrac{-3}9=-\dfrac13

For part (b), we now assume that x and y are functions of an independent variable, which we'll call t (for time). Now differentiating both sides with respect to t, we have

\dfrac{\mathrm dy}{\mathrm dt}=\dfrac{\frac{3x-6}x-3\ln x}{(3x-6)^2}\dfrac{\mathrm dx}{\mathrm dt}

where the chain rule is used on the right side. We're told that y is decreasing at a constant rate of 0.1 units/second, which translates to \dfrac{\mathrm dy}{\mathrm dt}=-0.1. So when x=1, you have

-0.1=\dfrac{\frac{3-6}1-3\ln1}{(3-6)^2}\dfrac{\mathrm dx}{\mathrm dt}
-0.1=-\dfrac13\dfrac{\mathrm dx}{\mathrm dt}
\dfrac{\mathrm dx}{\mathrm dt}=0.3

where the unit is again units/second.
6 0
3 years ago
What is the volume of the following cylinder?
inn [45]

Answer:

d) 87.92

Step-by-step explanation:

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5 0
3 years ago
Choose the one most likely type of error or bias you might encounter in the following sampling situations. (a) You want to know
Nataly_w [17]

Answer:

a) Response error

b) coverage error

c) coverage error

Step-by-step explanation:

Given situation:

(a) You want to know about the dating habits of college students, so you go to a dorm meeting and ask students how many dates they have had in the last year.

Solution:

In such situations the dating habits is a private matter for every individual and would not be truy expressed or conveyed in a dorm meeting. The true response would either be false or hidden in context of a public gathering.. So the likely error would be " Response error"

Given situation:

b) You want to know how often people attend religious services, so you stand outside a particular church on Sunday and ask entering individuals how often they attend.

Solution:

The collection of sample from a "particular" church limits the diversity of responses. The spread of the data might be skewed to certain geographical or population or ethnical locations. A better coverage would be recommended for accurate sampling. Hence, "coverage error"

Given situation:

(c) You want to know how often people eat at McDonald's, so you stand outside a particular McDonald's and ask entering customers how often they eat at McDonald's.

Solution:

The collection of sample from a "particular" McDonalds limits the diversity of responses. The spread of the data might be skewed to certain geographical or population or ethnical or lifestyles. A better coverage would be recommended for accurate sampling. Hence, "coverage error"

4 0
4 years ago
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