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3 years ago

Determine the value of b in the given figure pls help

Mathematics

1 answer:

yaroslaw [1]3 years ago

4 0

Answer: 76 degrees

Step-by-step explanation: All angles of a triange add up to 180. So, to find the missing angle we just have to add the other two angles and subtract the sum from 180.

1. 32 + 72 = 104.

2. 180- 104 = 76.

HOPE THIS HELPED YOU!

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A random sample of 85 group leaders, supervisors, and similar personnel revealed that a person spent an average 6.5 years on the

strojnjashka [21]

Answer:

95% of confidence interval for the Population

( 6.1386 , 6.8614)

Step-by-step explanation:

Step( i ):-

Given random sample size 'n' =85

Mean of the sample size x⁻ = 6.5 years

Standard deviation of Population = 1.7 years

Level of significance = 0.95 or 0.05

Step(ii):-

95% of confidence interval for the Population is determined by

$(x^{-} - Z_{0.05} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.05} \frac{S.D}{\sqrt{n} })$

$(6.5 - 1.96\frac{1.7}{\sqrt{85} } , 6.5 + 1.96 \frac{1.7}{\sqrt{85} })$

( 6.5 - 0.3614 , 6.5 + 0.3614 )

( 6.1386 , 6.8614)

Conclusion:-

95% of confidence interval for the Population

( 6.1386 , 6.8614)

8 0

4 years ago

Determine the difference between the monthly payments on a $120,000 home at 6.5% and at 8% for 15 years

slega [8]

Answer:

I believe the answer is 1800

Step-by-step explanation:

120000 * 0.065 = 7800

120000 * 0.08 = 9600

9600 - 7800 = 1800

3 0

3 years ago

Find the height of an equilateral triangle with sides of length 12

MAVERICK [17]

Answer:

Answer

sqrt(108)

6 sqrt(3)

10.3923

I don't know which answer you want.

Step-by-step explanation:

Drop a perpendicular from the top angle to the base.
The base is cut into 2 equal parts.
Each part is 12/2 = 6
The perpendicular, as its name implies, meets the base at 90o.
You can use the Pythagorean Theorem to find the height.

h^2 = side^2 - (1/2 b)^2

h^2 = 12^2 - 6^2

h^2 = 144 - 36

h^2 = 108

Take the square root of both sides

h = sqrt(108)

h = sqrt(2*2 * 3 * 3 * 3)

h = 2 * 3 sqrt(3)

h = 6sqrt(3)

h = 6 * 1.7321

h = 10.3923

4 0

3 years ago

Read 2 more answers

What is the answer???

Greeley [361]

Answer:

Angles in ascending order:

Q, R, S

Step-by-step explanation:

The side with the biggest number also has the biggest angle degree. The side with the smallest number also has the smallest angle degree.

6 0

3 years ago

Read 2 more answers

Rae deposit 6,000 into a savings account with an interest rate of 4% compounded monthly. how long will it take for the account t

Dovator [93]

Answer: it will take 13.3 years

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 6000

A = 10000

r = 4% = 4/100 = 0.04

n = 12 because it was compounded 12 times in a year.

Therefore,.

10000 = 6000(1 + 0.04/12)^12 × t

10000/6000(1 + 0.0033)^12t

1.67 = 1.0033^12t

Taking log to base 10 of both sides, it becomes

Log 1.67 = 12tLog 1.0033

0.223 = 12t × 0.0014

0.223 = 0.0168t

t = 0.223/0.0168

t = 13.3 years

7 0

3 years ago