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4 years ago

I need help please!!

Mathematics

2 answers:

Ivan4 years ago

4 0

1.86
3.53
4.86
6.71
7.109
8.68
9.41

Nataly [62]4 years ago

3 0

Answer: see attachment

<u>Step-by-step explanation:</u>

1) ∠5 & ∠ 4 form a linear pair (sum = 180°)

2) ∠2 & ∠9 are alternate interior angles (congruent)

3) ∠8, ∠9, & ∠ 10 are supplementary (sum = 180°)

4) ∠3, ∠4, & ∠9 form a triangle (Triangle Sum Theorem - sum = 180°)

5) ∠2, ∠7, & ∠8 form a triangle (Triangle Sum Theorem - sum = 180°)

6) ∠1 & ∠4 are consecutive (congruent)

7) ∠6 & ∠7 form a linear pair (sum = 180°)

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A savings account accrues interest at a rate of 3.0% yearly. If someone opens an account with $2,500, how much money would the a

Dmitriy789 [7]

To answer the question above we first need to know how much is the interest per year. In equation, 3% of $2500 is 75. 75 per year in 4 years is 300. So add $300 to the principal amount, the money after 4 years would be $2800.

5 0

4 years ago

Which theorem is the following?

lord [1]

Answer:

Perpendicular bisector theorem

Step-by-step explanation:

The illustration of the theorem is:

If point B is a perpendicular bisector of Line AC and the length of AC is 10cm

Then

$AB + BC = 10$

Where

$AB = BC$ --- Perpendicular bisector

So, the equation becomes

$AB + AB =10$

$2AB =10$

$AB = 5$

Recall: $AB = BC$

$AB = BC = 5$

7 0

3 years ago

Two numbers totals -14, and their difference is 6. Find the two numbers

natita [175]

Answer:

The two numbers are -4 and -10.

Step-by-step explanation:

x+y=-14

x-y=6

----------

2x=-8

x=-8/2

x=-4

-4+y=-14

y=-14-(-4)=-14+4=-10

x=-4, y=-10.

4 0

3 years ago

“encontrar la integral indefinida y verificar el resultado mediante derivación”

Oliga [24]

$I=\displaystyle\int\frac x{(1-x^2)^3}\,\mathrm dx$

Haz la sustitución:

$y=1-x^2\implies\mathrm dy=-2x\,\mathrm dx$

$\implies I=\displaystyle-\frac12\int\frac{\mathrm dy}{y^3}=\frac1{4y^2}+C=\frac1{4(1-x^2)^2}+C$

Para confirmar el resultado:

$\dfrac{\mathrm dI}{\mathrm dx}=\dfrac14\left(-\dfrac{2(-2x)}{(1-x^2)^3}\right)=\dfrac x{(1-x^2)^3}$

$I=\displaystyle\int\frac{x^2}{(1+x^3)^2}\,\mathrm dx$

Sustituye:

$y=1+x^3\implies\mathrm dy=3x^2\,\mathrm dx$

$\implies I=\displaystyle\frac13\int\frac{\mathrm dy}{y^2}=-\frac1{3y}+C=-\frac1{3(1+x^3)}+C$

(Te dejaré confirmar por ti mismo.)

$I=\displaystyle\int\frac x{\sqrt{1-x^2}}\,\mathrm dx$

Sustituye:

$y=1-x^2\implies\mathrm dy=-2x\,\mathrm dx$

$\implies I=\displaystyle-\frac12\int\frac{\mathrm dy}{\sqrt y}=-\frac12(2\sqrt y)+C=-\sqrt{1-x^2}+C$

$I=\displaystyle\int\left(1+\frac1t\right)^3\frac{\mathrm dt}{t^2}$

Sustituye:

$u=1+\dfrac1t\implies\mathrm du=-\dfrac{\mathrm dt}{t^2}$

$\implies I=-\displaystyle\int u^3\,\mathrm du=-\frac{u^4}4+C=-\frac{\left(1+\frac1t\right)^4}4+C$

Podemos hacer que esto se vea un poco mejor:

$\left(1+\dfrac1t\right)^4=\left(\dfrac{t+1}t\right)^4=\dfrac{(t+1)^4}{t^4}$

$\implies I=-\dfrac{(t+1)^4}{4t^4}+C$

4 0

4 years ago

What decimal is equivalent to 13/10

LUCKY_DIMON [66]

Answer:

1.30

Step-by-step explanation:

because it's 13 / 10 it means that there is a whole number , 13 - 10 equals 3 oh, so you divide 3 from 100

4 0

3 years ago