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alex41 [277]
3 years ago
10

5t^2 - 5.5 - 3.5t + 1.5t^2 +4t

Mathematics
2 answers:
RideAnS [48]3 years ago
8 0
The answer is 6.5t2+0.5t−5.5 , it’s simplified
nikitadnepr [17]3 years ago
8 0

Answer:

6.5t2+0.5t−5.5

Step-by-step explanation:

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Find the perimeter of each of the two non congruent triangles where a=15,b=20 and a=29
Alborosie

Answer:

b. about 63.9 units and 41.0 units

Step-by-step explanation:

In question ∠a= 29° and Side of a= 15 and b= 20

Using sine rule of congruence of triangle.

⇒ \frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}

⇒ \frac{15}{Sin 29} = \frac{20}{sin B}

Using value of sin 29°

⇒ \frac{15}{0.49} = \frac{20}{sin B}

Cross multiplying both side.

⇒ Sin B= \frac{20\times 0.49}{15} = 0.65

∴ B= 41°

Now, we have the degree for ∠B= 41°.

Next, lets find the ∠C

∵ we know the sum total of angle of triangle is 180°

∴∠A+∠B+∠C= 180°

⇒ 29+41+B= 180

subtracting both side by 70°

∴∠C= 110°

Now, again using the sine rule to find the side of c.

\frac{b}{SinB} = \frac{c}{SinC}

⇒\frac{20}{sin41} = \frac{C}{sin110}

Using the value of sine and cross multiplying both side.

⇒ C= \frac{20\times 0.94}{0.65} = 28.92

∴ Side C= 28.92.

Now, finding perimeter of angle of triangle

Perimeter of triangle= a+b+c

Perimeter of triangle= (15+20+28.92)= 63.9

∴ Perimeter of triangle= 63.9 units

7 0
3 years ago
Determine whether the equation is always sometimes or never true 2(5x+4)=10x+6
Usimov [2.4K]
This equation is NEVER true. Let's solve the equations algebraically by applying the Distributive Property of Multiplication and transposing the terms across the equality sign. The solution is as follows:

<span>2(5x+4)=10x+6
10x + 8 = 10x + 6
10x - 10x = 6 - 8
0 = -2

Therefore, it is not true.</span>
3 0
3 years ago
Convert 149g/cm to kilograms per meter
marishachu [46]
Set it up kind of like a picket fence. Put 149 g over one cm and multiply that by 1kg over 1000g then multiply that by 1 cm over .01 m. The answer is 14.9 kg/m
5 0
3 years ago
You decide that you want to purchase a Tesla SUV. You borrow \$95,000 for the purchase. You agree to repay the loan by paying eq
liraira [26]

Using compound interest and a graphing calculator, it is found that it will take about 15 years for the loan to be paid off.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

In which:

  • A(t) is the amount of money after t years.
  • P is the principal(the initial sum of money).
  • r is the interest rate(as a decimal value).
  • n is the number of times that interest is compounded per year.

For this problem, the parameters are given as follows:

A(0) = 95000, r = 0.06, n = 12.

Hence the value of the loan after t years is:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

A(t) = 95000\left(1 + \frac{0.06}{12}\right)^{12t}

A(t) = 95000(1.005)^{12t}

You have monthly payments of $1,200, hence the amount paid after t years is:

P(t) = 12 x 1,200t = 14400t

Then we have to solve for:

A(t) = P(t)

14400t = 95000(1.005)^{12t}

Which is solved in the graph below, meaning that it will take about 15 years for the loan to be paid off.

More can be learned about compound interest at brainly.com/question/25781328

#SPJ1

5 0
2 years ago
Helps me solve this problem please
Vika [28.1K]

Answer:

(1,1) and (-2,-11) are the correct solutions

8 0
3 years ago
Read 2 more answers
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