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3 years ago

What is the measure of the angle

Mathematics

2 answers:

4vir4ik [10]3 years ago

8 0

That angel will be 110 because its alternate exterior to the other angel

lutik1710 [3]3 years ago

6 0

The angle would be 70 degrees because 180-110=70

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What is the exact solution for the equation

Nostrana [21]

Answer:

Option C is correct.

Exact solution of $2^{x+2} = 5^{2x}$ is, $\frac{2\ln 2}{2\ln 5 - \ln 2}$

Step-by-step explanation:

Given the equation: $2^{x+2} = 5^{2x}$

Using logarithmic rules:

$a^x=b^y$ ⇒ $x \ln a =y \ln b$

$\ln x^a = a\ln x$

Given: $2^{x+2} = 5^{2x}$

Taking logarithmic both sides:

$\ln 2^{x+2} = \ln 5^{2x}$

By logarithmic rules;

$(x+2) \ln 2 = (2x) \ln 5$

Using distributive property i.e $a\cdot (b+c) = a\cdot b + a\cdot c$

$x \ln 2 +2 \ln 2 = 2x \ln 5$

Subtract $x \ln 2$ from both sides we get;

$x \ln 2 +2 \ln 2 - x \ln 2= 2x \ln 5 - x \ln 2$

Simplify:

$2 \ln 2= 2x \ln 5 - x \ln 2$

$2 \ln 2= x (2\ln 5 - \ln 2)$

Divide both sides by $(2\ln 5 - \ln 2)$ we get;

$\frac{2\ln 2}{2\ln 5 - \ln 2} = x$

Therefore, the exact solution of the given equation is $\frac{2\ln 2}{2\ln 5 - \ln 2}$

7 0

3 years ago

a farmer bought seeds worth 45000. he bought fertilizers worth 5000. he sent 2500 as transportation charges. he sold the crops f

TEA [102]

Answer:

Answer: selling price is 63000

Step-by-step explanation:

Farmer bought seeds of ₹45000

Farmer bought fertilizers of ₹5000

Farmer spent on transportation₹25000

Total c.p. of crops is ₹52500

He got a profit of20%

Selling price =?

S.p. =20/100*52500

=10500

S.p.=c.p.+profit

=52500+10500

=63000

3 0

3 years ago

The areas of the squares adjacent to two sides of a right triangle are shown below. What is the area of the squares adjacent to

Gelneren [198K]

Answer:

<em>11 square units</em>

Step-by-step explanation:

Find the diagram attached

First we need to find the side length of the square with known areas.

Area of a square = L²

L is the side length of the square

For the green square

44 = L²

Lg = √44

For the purple square

Ap = Lp²

33 = Lp²

Lp = √33

Get the length (L) of the unknown square using pythagoras theorem;

Lg² = L²+Lp²

(√44)² = L²+(√33)²

44 = L²+33

L² = 44-33

L² = 11

Since Al = L²

<em>Hence the area of the square adjacent to the third side of the triangle is 11 square units</em>

8 0

3 years ago

I WILL GIVE BRAINLIEST By what percent will the product of two numbers change if one of them increased by 20% and the other decr

Setler [38]

Answer:

Assume that the number is 100. Then, 20% of 100 is 20×100100 = 20. Increasing 100 by 20% means increasing 100 by 20 and the resultant number is 120.

5 0

3 years ago

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How do I do this question on a calculator (as shown below) note the calculator only can write out equations

Doss [256]

Answer:

1296*0.1884

1296*18.84/100

3 0

3 years ago