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Sunny_sXe [5.5K]
3 years ago
5

Find the area of triangle PQR if PQ = QR = 12 and angle PQR = 120

Mathematics
1 answer:
Leona [35]3 years ago
3 0

Answer:

36√3 unit square

Step-by-step explanation:

A=1/2(ab)sin120

A=1/2(12*12) sin120

A=72*√3/2=36√3 unit square

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Rob Herndon, an accountant with Southwest Airlines, wants to retire 50% of
valina [46]

To achieve his goal of paying off $430,000 in 10 years, Rob Herndon needs to make $34,186.97 at 5% compounded annually.

<h3>What is a future value?</h3>

A future value refers to a value on a future date based on an assumed growth rate of interest over time.

The future value can be determined using the FV formula or table.

We can also compute the future value using an online finance calculator as follows:

<h3>Data and Calculations:</h3>

N (# of periods) = 10 years

I/Y (Interest per year) = 5%

PV (Present Value) = $0

FV (Future Value) = $430,000

<u>Results:</u>

PMT = $34,186.97

Sum of all periodic payments = $341,869.70

Total Interest= $88,130.30

Thus, for Rob Herndon to achieve his goal of paying off $430,000 in 10 years, he needs to make $34,186.97 at 5% compounded annually.

Learn more about Calculating Future Values at brainly.com/question/24703884

#SPJ1

7 0
1 year ago
7/8m+9/10-2m-3/5<br> Combine like terms to create an equivalent expression.
stich3 [128]

Answer:

-1.123m+0.3

or in fraction form -9/8m+3/10

Step-by-step explanation:

first you subtract 7/8 from 2

then you subtract again 9/10 from 3/5

4 0
3 years ago
Suppose a parabola has an axis of symmetry at x = -8 , a maximum height of 2, and passes through the point (-7, -1). Write the e
lidiya [134]
As it has a maximum value the coefficient of x^2 will be negative

The vertex will be at (-8,2)  so in vertex form it is

y = a(x + 8)^2 + 2
and as it passes through (-7,-1) we have:

-1  = a(-7+8)^2 + 2

-1 = a + 2  so a = -3

answer is  y = -3(x + 8)^2 + 2

in standard form this is y = -3x^2 -48x  - 190
3 0
3 years ago
A worker in an assembly line takes 7 hours to produce 28 parts. at that rate, how many parts can she produce in 35 hours?
olya-2409 [2.1K]
During 7 hours: 28 parts assembled
during 14 hours: 56 parts assembled
during 21 hours: 84 parts assembled
during 28 hours: 112 parts assembled
during 35 hours: 140 parts assembled
7 0
2 years ago
Does the point (6, 0) satisfy the equation y = x2?
shtirl [24]

Replace x in the equation with the x value of the point (6) and solve. If it equals the y value (0) it is a solution if it noes not equal (0) it is not a solution.

Y = 6^2 = 36

36 is not 0 so (6,0) is not a solution

6 0
3 years ago
Read 2 more answers
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