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3 years ago

12

Finding missing angles

1 answer:

Bingel [31]3 years ago

8 0

Answer:

D)

Step-by-step explanation:

Since we see the whole angle is 90° and it's split into two smaller angles, 7x° and 11x°, then we can conclude that 7x°+11x°=90°

*And x=5

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Given: △ABC, m∠A=60° m∠C=45°, AB=8 Find: Perimeter of △ABC, Area of △ABC

jarptica [38.1K]

We are given

△ABC, m∠A=60° m∠C=45°, AB=8

Firstly, we will find all angles and sides

Calculation of angle B:

we know that sum of all angles is 180

m∠A+ m∠B+m∠C=180

we can plug values

60°+ m∠B+45°=180

m∠B=75°

Calculation of BC:

we can use law of sines

$\frac{AB}{sin(C)}=\frac{BC}{sin(A)}$

now, we can plug values

$\frac{8}{sin(45)}=\frac{BC}{sin(60)}$

$BC=\frac{8}{sin(45)} \times sin(60)$

$BC=9.798$

Calculation of AC:

$\frac{AB}{sin(C)}=\frac{AC}{sin(B)}$

now, we can plug values

$\frac{8}{sin(45)}=\frac{AC}{sin(75)}$

$AC=\frac{8}{sin(45)} \times sin(75)$

$AC=10.928$

Perimeter:

$p=AB+BC+AC$

we can plug values

$p=10.928+8+9.798$

$p=28.726$

Area:

we can use formula

$A=\frac{1}{2}AB \times AC \times sin(A)$

now, we can plug values

$A=\frac{1}{2}8 \times 10.928 \times sin(60)$

$A=37.85570$ ...............Answer

6 0

4 years ago

Read 2 more answers

Rudik [331]

9514 1404 393

Answer:

3 months

Step-by-step explanation:

We don't know what's on your list of "useful financial formulas." One that can be used here is the formula for simple interest:

I = Prt . . . . . interest on principal P at annual rate r for t years

Solving for t gives ...

t = I/(Pr)

Filling in the given values, we can find t to be ...

t = 138/(4800×0.115) = 138/552 = 1/4

1/4 year is 3 months -- the duration of the loan.

4 0

3 years ago

Cuantos años hay 5823 días

jonny [76]

Answer:

16 anos

Step-by-step explanation:

6 0

3 years ago

The value of y is inversely proportional to the value of x. When y=42, x=6.

NARA [144]

Because $x$ and $y$ are inversely proportional, there is some constant $k$ such that

$xy=k$

Given that $y=42$ and $x=6$ , we have

$k=6\times42=252$

So when $x=9$ , you have

$9y=252\implies y=\dfrac{252}9=28$

4 0

3 years ago

The explicit formula for a sequence is

Alexandra [31]

Answer:

28

Step-by-step explanation:

Let n = 21, and evaluate the expression.

$a_n = -2 + \dfrac{3}{2}(n - 1)$

$a_{21} = -2 + \dfrac{3}{2}(21 - 1)$

$a_{21} = -2 + \dfrac{3}{2}(20)$

$a_{21} = -2 + \dfrac{3}{1}(10)$

$a_{21} = -2 + 30$

$a_{21} = 28$

3 0

3 years ago