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Phoenix [80]
3 years ago
15

Which of the following values best approximates the length of C in triangle ABC where C=

Mathematics
1 answer:
irinina [24]3 years ago
8 0

Answer:

The correct answer is D 46.3644



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Please do 3 & 4 and show work
Shalnov [3]

Answer:

3. A=B=70°; C=D=110°

4. A=90°; C=48°

Step-by-step explanation:

Same-side angles of a trapezoid add to 180°.

___

3. (2x) +(x+15) = 180

3x + 15 = 180 . . . . simplify

x +5 = 60 . . . . . . . divide by 3

x = 55

A=B=(x+15)° = (55+15)° = 70°

C=D=2x° = 2·55° = 110°

__

4. You are given the values of one of the angles on each side, so the other can be found by subtraction:

A=180°-D = 90°

C = 180° -132° = 48°

8 0
3 years ago
Michael bought 0.65 kilograms of cubed stake. The meat costs $8.50 a kilogram. How much did Michael pay for the stake
Temka [501]

Answer:

Approximately $5.53

Step-by-step explanation:

You need to multiply the cost of meat per kilogram by the amount you you buy in kilograms.

$8.50*0.65= $5.525

That rounds to $5.53

8 0
2 years ago
Jamie is making a beaded necklace the ratio of blue beads to purple beads is 4:3 if jamie uses 56 blue beads and purple beads to
blsea [12.9K]
She will use 42 purple beads.

Explanation
We will use a proportion to solve this. 

The ratio of blue to purple beads is 4:3, or 4/3.
We know she uses 56 blue beads and an unknown amount, x, of purple beads.  This gives us 56/x.

Together, we have
4/3 = 56/x

Cross multiply:
4*x = 3*56
4x = 168

Divide both sides by 4:
4x/4 = 168/4
x = 42
8 0
3 years ago
Read 2 more answers
The Resource Conservation and Recovery Act mandates the tracking and disposal of hazardous waste produced at U.S. facilities. Pr
aniked [119]

Answer:

(a) E(X) =  0.383

The expected number in the sample that treats hazardous waste on-site is 0.383.

(b) P(x = 4) = 0.000169

There is a 0.000169 probability that 4 of the 10 selected facilities treat hazardous waste on-site.

Step-by-step explanation:

Professional Geographer (Feb. 2000) reported the hazardous waste generation and disposal characteristics of 209 facilities.

N = 209

Only eight of these facilities treated hazardous waste on-site.

r = 8

a. In a random sample of 10 of the 209 facilities, what is the expected number in the sample that treats hazardous waste on-site?

n = 10

The expected number in the sample that treats hazardous waste on-site is given by

$ E(X) =  \frac{n \times r}{N} $

$ E(X) =  \frac{10 \times 8}{209} $

$ E(X) =  \frac{80}{209} $

E(X) =  0.383

Therefore, the expected number in the sample that treats hazardous waste on-site is 0.383.

b. Find the probability that 4 of the 10 selected facilities treat hazardous waste on-site

The probability is given by

$ P(x = 4) =  \frac{\binom{r}{x} \binom{N - r}{n - x}}{\binom{N}{n}} $

For the given case, we have

N = 209

n = 10

r = 8

x = 4

$ P(x = 4) =  \frac{\binom{8}{4} \binom{209 - 8}{10 - 4}}{\binom{209}{10}} $

$ P(x = 4) =  \frac{\binom{8}{4} \binom{201}{6}}{\binom{209}{10}} $

$ P(x = 4) =  \frac{70 \times 84944276340}{35216131179263320}

P(x = 4) = 0.000169

Therefore, there is a 0.000169 probability that 4 of the 10 selected facilities treat hazardous waste on-site.

8 0
2 years ago
A set of numbers is shown below:
eimsori [14]

Answer:

<em><u>[</u></em><em><u>2</u></em><em><u>,</u></em><em><u>4</u></em><em><u>,</u></em><em><u>6</u></em><em><u>]</u></em>

Step-by-step explanation:

GIVEN EQUATION : 2X+3≥7

i.e, 2x≥7-3

i.e, 2x≥4

i.e, x≥4/2

i.e, x≥2

it's represent number should be greater than or equal to 2

The only number which follows the inequality from the set is 2,4&6

✌️:)

8 0
3 years ago
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