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2 years ago

Pls help me. This is a geo quiz and I don’t have a clue what I am doing.

Mathematics

1 answer:

Sunny_sXe [5.5K]2 years ago

4 0

Answer:

x= 43

measure= 142'

Step-by-step explanation:

We know that a triangle has a sum of 190 degrees we have 17' and 21'

add them together = 38

180-38= 142' (2nd part of answer)

3x + 10 = 142

3x= 132

x= 43 (1st part of answer)

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The following integral requires a preliminary step such as long division or a change of variables before using the method of par

shtirl [24]

Division yields

$\dfrac{x^4+7}{x^3+2x} = x-\dfrac{2x^2-7}{x^3+2x}$

Now for partial fractions: you're looking for constants a, b, and c such that

$\dfrac{2x^2-7}{x(x^2+2)} = \dfrac ax + \dfrac{bx+c}{x^2+2}$

$\implies 2x^2 - 7 = a(x^2+2) + (bx+c)x = (a+b)x^2+cx + 2a$

which gives a + b = 2, c = 0, and 2a = -7, so that a = -7/2 and b = 11/2. Then

$\dfrac{2x^2-7}{x(x^2+2)} = -\dfrac7{2x} + \dfrac{11x}{2(x^2+2)}$

Now, in the integral we get

$\displaystyle\int\frac{x^4+7}{x^3+2x}\,\mathrm dx = \int\left(x+\frac7{2x} - \frac{11x}{2(x^2+2)}\right)\,\mathrm dx$

The first two terms are trivial to integrate. For the third, substitute y = x ² + 2 and dy = 2x dx to get

$\displaystyle \int x\,\mathrm dx + \frac72\int\frac{\mathrm dx}x - \frac{11}4 \int\frac{\mathrm dy}y \\\\ =\displaystyle \frac{x^2}2+\frac72\ln|x|-\frac{11}4\ln|y| + C \\\\ =\displaystyle \boxed{\frac{x^2}2 + \frac72\ln|x| - \frac{11}4 \ln(x^2+2) + C}$

7 0

2 years ago

Please help I will give 10 points answer both questions

seropon [69]

Question 4:
18(A)+7(S)+10(G)=35 lollipops
35/10=3.5
35/18=1.99(repeating)
35/7=5

I hope that helps in some way.

5 0

3 years ago

Solve the equation: -6p + 14 and 3p - 2

sleet_krkn [62]

Answer:

p = 16/9

Step-by-step explanation:

$-6p+14=3p-2\qquad\text{subtract 14 from both sides}\\\\-6p=3p-16\qquad\text{subtract 3p from both sides}\\\\-9p=-16\qquad\text{divide both sides by (-9)}\\\\\boxed{p=\dfrac{16}{9}\to p=1\dfrac{7}{9}}$

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2 years ago

A train travelled 275 km in 2.5 hours how fast will the train go in an hour?

mylen [45]

Answer: 110 mph

Step-by-step explanation: 275 / 2.5 = 110 mph

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3 years ago

A van travels at a constant speed of x km/hr over a distance of 45km/hr. If the van increases its speed by 4km/h, it will be abl

harkovskaia [24]

Speed = Distance/Time. Let speed be V, distance D and time T

a)Given: D₁ =45km, V₁=x km/h
V₁=D₁/T
V₁=45/T OR T= 45/V₁

b) Given : D₂ =48 km and V₂ = V₁ + 4 km/h
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V₁+4 = 48/T OR T=48/(V₁+4). Since Time is same, then we can write:
45/V₁ =48/(V₁+4), solve for V₁:
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3V₁ =180 and V₁ = x = 60 km/h

8 0

2 years ago