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-BARSIC- [3]
2 years ago
15

Angle a= 6x-5 degrees angle b=4x+45 degrees

Mathematics
2 answers:
N76 [4]2 years ago
8 0

Answer:

180

Step-by-step explanation:

Alina [70]2 years ago
5 0

Answer: the correct answer is 125°

Step-by-step explanation: i just had to get it wrong so i could get it right

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Mrs. Frasier is making costumes for the school play. Each costume requires 0.75 yard of fabric. She bought 6 yards of fabric. Ho
Marta_Voda [28]

Step-by-step explanation:

0.75 yard = 1 costume

1 yard = 1/0.75 =4/3 costume

6 yards = 4/3 × 6 = 8 costumes

if you wanna check,

8 costumes = 6 yards

1 costume = 6/ 8

= 3/4 (0.75) yard

3 0
3 years ago
What is the middle number of 8 and 15
Liono4ka [1.6K]
It's between 11 and 12. 

8 9 10 -11 12- 13 14 15
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3 years ago
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What is the total interest earned in two years on an account containing $500 at 3.5% interest, compounded annually?
Andrei [34K]

Answer: $35.6125

Step-by-step explanation:

3.5% = 0.035

Let's find the deposit amount with interest at the end of the first year:

500 + 500 · 0.035 = 517.5

Let's find the amount of the deposit with interest at the end of the second year:

517.5 + 517.5  · 0.035 = 535.6125

Find the total interest earned over two years:

535.6125 - 500 = 35.6125

7 0
3 years ago
What is the first step in finding the area of a composite figure?
Oxana [17]

Answer:

A composite figure is made up of simple geometric shapes. To find the area of a composite figure or other irregular-shaped figure, divide it into simple, non overlapping figures. Find the area of each simpler figure, and then add the areas together to find the total area of the composite figure.

Step-by-step explanation:

4 0
2 years ago
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g Use this to find the equation of the tangent line to the parabola y = 2 x 2 − 7 x + 6 at the point ( 4 , 10 ) . The equation o
natali 33 [55]

Answer:

The tangent line to the given curve at the given point is y=9x-26.

Step-by-step explanation:

To find the slope of the tangent line we to compute the derivative of y=2x^2-7x+6 and then evaluate it for x=4.

(y=2x^2-7x+6)'          Differentiate the equation.

(y)'=(2x^2-7x+6)'       Differentiate both sides.

y'=(2x^2)'-(7x)'+(6)'    Sum/Difference rule applied: (f(x)\pmg(x))'=f'(x)\pm g'(x)

y'=2(x^2)'-7(x)'+(6)'  Constant multiple rule applied: (cf)'=c(f)'

y'2(2x)-7(1)+(6)'        Applied power rule: (x^n)'=nx^{n-1}

y'=4x-7+0               Simplifying and apply constant rule: (c)'=0

y'=4x-7                    Simplify.

Evaluate y' for x=4:

y'=4(4)-7

y'=16-7

y'=9 is the slope of the tangent line.

Point slope form of a line is:

y-y_1=m(x-x_1)

where m is the slope and (x_1,y_1) is a point on the line.

Insert 9 for m and (4,10) for (x_1,y_1):

y-10=9(x-4)

The intended form is y=mx+b which means we are going need to distribute and solve for y.

Distribute:

y-10=9x-36

Add 10 on both sides:

y=9x-26

The tangent line to the given curve at the given point is y=9x-26.

------------Formal Definition of Derivative----------------

The following limit will give us the derivative of the function f(x)=2x^2-7x+6 at x=4 (the slope of the tangent line at x=4):

\lim_{x \rightarrow 4}\frac{f(x)-f(4)}{x-4}

\lim_{x \rightarrow 4}\frac{2x^2-7x+6-10}{x-4}  We are given f(4)=10.

\lim_{x \rightarrow 4}\frac{2x^2-7x-4}{x-4}

Let's see if we can factor the top so we can cancel a pair of common factors from top and bottom to get rid of the x-4 on bottom:

2x^2-7x-4=(x-4)(2x+1)

Let's check this with FOIL:

First: x(2x)=2x^2

Outer: x(1)=x

Inner: (-4)(2x)=-8x

Last: -4(1)=-4

---------------------------------Add!

2x^2-7x-4

So the numerator and the denominator do contain a common factor.

This means we have this so far in the simplifying of the above limit:

\lim_{x \rightarrow 4}\frac{2x^2-7x-4}{x-4}

\lim_{x \rightarrow 4}\frac{(x-4)(2x+1)}{x-4}

\lim_{x \rightarrow 4}(2x+1)

Now we get to replace x with 4 since we have no division by 0 to worry about:

2(4)+1=8+1=9.

6 0
3 years ago
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