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qaws [65]
2 years ago
6

Angle A and Angle B are supplementary, mZA = (6x + 72) and mZB = (2x + 28)". Find x, the

Mathematics
1 answer:
Alexeev081 [22]2 years ago
3 0

Answer:

x = 10

m<A = 132 degrees

m<B = 48 degrees

Step-by-step explanation:

Supplementary = angles that make up 180 degrees

We know <A and <B are supplemntary, so 2x+28+6x+72 = 180.

8x + 100 = 180

8x = 80

x = 10

I input 10 into the equations to solve for the measures of the angles

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What is the volume of the following rectangular prism?<br> 21/2 units <br> 8/3 units
xeze [42]

Answer:

28 units³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Al ( A is the area of end face and l is the length )

Here A = \frac{21}{2} and l = \frac{8}{3} , thus

V = \frac{21}{2} × \frac{8}{3} ( cancel 21 and 3 by 3 and 2 and 8 by 2 )

= \frac{7}{1} × \frac{4}{1} = 7 × 4 = 28 units³

5 0
3 years ago
In 2002, there were 972 students enrolled at Oakview High School. Since then, the number of students has increased by 1.5% each
Rudiy27

Answer:

N(t) = 972(1.015)^{t}

Growth function.

The number of students enrolled in 2014 is 1162.

Step-by-step explanation:

The number of students in the school in t years after 2002 can be modeled by the following function:

N(t) = N(0)(1+r)^{t}

In which N(0) is the number of students in 2002 and r is the rate of change.

If 1+r>1, the function is a growth function.

If 1-r<1, the function is a decay function.

In 2002, there were 972 students enrolled at Oakview High School.

This means that N(0) = 972

Since then, the number of students has increased by 1.5% each year.

Increase, so r is positive. This means that r = 0.015

Then

N(t) = N(0)(1+r)^{t}

N(t) = 972(1+0.015)^{t}

N(t) = 972(1.015)^{t}

Growth function.

Find the number of students enrolled in 2014.

2014 is 2014-2002 = 12 years after 2002, so this is N(12).

N(t) = 972(1.015)^{t}

N(12) = 972(1.015)^{12}

N(12) = 1162

The number of students enrolled in 2014 is 1162.

7 0
2 years ago
A person places $103 in an investment account earning an annual rate of 1.9%, compounded continuously. Using the formula V = P e
Advocard [28]

Answer:

$115.36

Step-by-step explanation:

Given data

P=$103

r=1.9%

t= 6 years

The expression for the amount is given as

V = P e ^{r t}

substitute

V = 103*e^{0.019 *6}

V = 103*e^{0.114}\\\\V = 103*1.120\\\\V = 115.36\\\\

Hence the final amount is $115.36

7 0
2 years ago
How many meters tall is a door
S_A_V [24]

Answer: a standard door is about 2-2.10 meters

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
According to the ratio of the age, if Rs. 216 is divided to the girls of age 8, 9 ad 10 yearsHow much money will each get ​
SSSSS [86.1K]

9514 1404 393

Answer:

  • 8 years: Rs. 64
  • 9 years: Rs. 72
  • 10 years: Rs. 80

Step-by-step explanation:

The sum of ages is 8+9+10 = 27, so each year of age is rewarded by ...

  216/27 = 8 . . . Rs

Then age 8 gets 8(Rs. 8) = Rs. 64

  age 9 gets 9(Rs. 8) = Rs. 72

  age 10 gets 10(Rs. 8) = Rs. 80

3 0
2 years ago
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