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2 years ago

Find the measure of the indicated angle. Need help please. I need explanation

Mathematics

2 answers:

-Dominant- [34]2 years ago

8 0

Answer:

20.12m

Step-by-step explanation:

180 - (12 + 61) = 107° = ∡B

$\frac{23}{sin(107)} = \frac{a}{sin(61)}$ *Cross Multiply*

$a(sin(107)) = 23(sin(61))$ *Divide by sin(107)*

$a = \frac{23(sin(61))}{sin(107)}$ *Solve*

a = BC ≈ 20.12m

Zolol [24]2 years ago

6 0

Answer:

BC =21.03540021

Step-by-step explanation:

We know the measure of angle B since the sum of the angles of a triangle add to 180

A + B+ C = 180

61+ B + 12 =180

B = 180 - 12 -61

B =107

Then we can use the law of sines to find BC

sin B sin A

-------- = -------------

AC BC

sin 107 sin 61

-------- = -------------

23 BC

Using cross products

BC sin 107 = 23 sin 61

BC = 23 sin 61/ sin 107

BC =21.03540021

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3 years ago

Write the following expressions as an exponential term with a single base <br> (4*2^5)÷(2^3 *1/16)

Schach [20]

Answer:

2^8

Step-by-step explanation:

(4*2^5)÷(2^3 *1/16)

$\left ( 4\times 2^5 \right )\div \left ( 2^3\times \frac{1}{16} \right )\\\\2^7 \div 2^{-1}\\\\2^7\times 2^1\\\\2^8$

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2 years ago

New legislation passed in 2017 by the U.S. Congress changed tax laws that affect how many people file their taxes in 2018 and be

stiks02 [169]

Answer:

a. Yes

b. 0.35

c. 0.5

E(x)=34.25

V(x)=73.1875

SD(x)=8.555

Step-by-step explanation:

x 20 25 30 35 40 45 50

f(x) 0.05 0.2 0.25 0.15 0.15 0.1 0.1

This will be valid probability distribution if

1. All probabilities are between 0 and 1 inclusive.

2. Sum of probabilities must be 1.

Condition 1 is satisfied in this distribution. Now, we will check second condition

sum(f(x))=0.05+0.2+0.25+0.15+0.15+0.1+0.1=1.

As the both conditions are satisfied, thus the given distribution is a valid probability distribution.

P(x≥40)=P(X=40)+P(X=45)+P(X=50)

P(x≥40)=0.15+0.1+0.1

P(x≥40)=0.35

So, the probability that Backens and Hayes LLC will obtain 40 or more new clients is 0.35.

P(x<35)=P(X=20)+P(X=25)+P(X=30)

P(x<35)=0.05+0.2+0.25

P(x<35)=0.5

So, the probability that Backens and Hayes LLC will obtain fewer than 35 new clients is 0.5.

Expected value of x=E(x)= sum[x*f(x)]

E(x)= 20*0.05+25*0.2+30*0.25+35*0.15+40*0.15+45*0.1+50*0.1

E(x)=1+5+7.5+5.25+6+4.5+5

E(x)=34.25

Variance of x=V(x)=sum[x²*f(x)]-(sum[x*f(x)])²

sum[x²*f(x)]= 20²*0.05 +25²*0.2 +30²*0.25 +35²*0.15 +40²*0.15 +45²*0.1 +50²*0.1

sum[x²*f(x)]=20+1255+225+183.75+240+202.5+50

sum[x²*f(x)]=1246.25

V(x)=1246.25-(34.25)²

V(x)=73.1875

Standard deviation of x=SD(x)=√V(x)

SD(x)=8.555

3 0

2 years ago