Is 60% greater than 0.345

Answer:

2 21 degree angles

Step-by-step explanation:

An isosoles triangle has two congruent angles and every triangle's sum of interior angles equals 180 degrees. 138*2>180, so the 138 degree angle cannot be congruent to any of the other angles. Therefore:

180=138+2x

42=2x

21 degrees=x

Answer:

1.105°

2.35°

3.35,°

4.50°

Step-by-step explanation:

ito po yung answer ko sa assignment you sa Maka tulong

Making 'b' the subject of formula gives b = a² - 6

It is important to note that the subject of formula is described as a variable that is made up to stand alone in an equation.

The subject of formula is the variable that is worked out on on side of the equation sign.

From the information given, we have the equation;

a = [tex]\sqrt{(b + 6)}[/tex]

To make 'b' the subject of formula, we take the following steps;

Find the square of both sides, we get;

a² = [tex](\sqrt{(b + 6)} ^2[/tex]

Cancel out the square, we get;

b + 6 = a²

collect the other terms on one end of the equation, we have;

b = a² - 6

Hence, the equation is b = a² - 6

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Answer:

A

Step-by-step explanation:

I’m taking the same exam

Answer:

B. AC = 22, BC = 22, AB = 44

C. AC = 30, BC = 30, AB = 60

Step-by-step explanation:

B.

[tex] radius \: \overline {OR} \perp chord \: \overline {AB} [/tex] at C. (given)

[tex] \therefore AC = BC[/tex] (perpendicular dropped from the center of the circle to the chord bisects the chord)

[tex] \therefore 2x - 6 = x + 8[/tex]

[tex] \therefore 2x - x= 6 + 8[/tex]

[tex] \therefore x= 14[/tex]

[tex] AC = 2x-6=2(14)-6=28-6= 22[/tex]

[tex] BC= x + 8=14 + 8= 22[/tex]

AB = AC + BC = 22 + 22 = 44

C.

[tex] radius \: \overline {OR} \perp chord \: \overline {AB} [/tex] at C. (given)

[tex] \therefore BC = AC[/tex] (perpendicular dropped from the center of the circle to the chord bisects the chord)

[tex] \therefore 7x-5=4x+10 [/tex]

[tex] \therefore 7x - 4x= 5 + 10[/tex]

[tex] \therefore 3x= 15[/tex]

[tex] \therefore x= \frac{15}{3}[/tex]

[tex] \therefore x= 5[/tex]

[tex] AC = 4x+10=4(5)+10=20+10= 30[/tex]

[tex] BC= 7x - 5=7(5)-5=35-5= 30[/tex]

AB = AC + BC = 30 + 30 = 60

Answer:

C. (4 , 3)

Step-by-step explanation:

We are given a system of equations and are asked to find its coordinate value.

To solve, we can keep in mind that both start with y, therefore meaning that we can replace one of the y's with one of the equations.:

[tex]y=\frac{1}{4}x+2\\y=x-1[/tex]

[tex]\frac{1}{4}x+2 = x-1[/tex]

Let's try to get x alone, first subtract 2 from both sides:

[tex]\frac{1}{4}x=x-3[/tex]

Now subtract x from both sides:

[tex]-\frac{3}{4}x=-3[/tex]

Now since the denominator is 4, multiply both sides by 4:

[tex]-3x=-12[/tex]

Lastly, divide both sides by -3 to get x :

[tex]x=4[/tex]

Now that we know x is 4, we can substitute 4 for x in both equations:

[tex]y=\frac{1}4(4)+2\\y=(4)-1[/tex]

[tex]y= 3\\y= 3[/tex]

Y is equal to 3, therfore, our coordinate value is C. (4,3)

Answer:

The answer will be A k>-38

Answer:

hmm..

Step-by-step explanation:

Answer:

x + y > 15

10x + 5y < 100

we will put it in terms of y

y > 15 - x

and

5y < 100 - 10x

y < 20 - 2x

-TheUnknownScientist

Answer:

126/168

Step-by-step explanation:

If 1 cup = 3/4 then

42 cups = 126/168

(3/4 x 42/42)

let me know if i'm right, haven't seen a problem like this in years.

Answer:

Step-by-step explanation:

The recipe calls for 3 cups of concentrate for every 4 cups of water.

The ratio is:

Amount of concentrate required : Amount of cups of water required

3                                                     :                     4

That is the ratio:

3 cups of concentrate : 4 cups of water

3 : 4

Answer:

3 x 3^6

Step-by-step explanation:

I hope this helps >3.

Which expression is not equal to the expression shown?

3³ ÷ 3⁻⁴

Let's first solve all the equations and then check which equation is not equal to equation given in question.

⇒ 3³ ÷ 3⁻⁴ = 3³⁻⁽⁻⁴⁾

⇒ 3³⁺⁴ = 3⁷ = 2,187

⇒ 3⁻³ ÷ 3⁴ = 3⁻³⁻⁴

⇒ 3⁻⁷ = 0.000457

⇒ 3 × 3⁶ = 3⁷

⇒ 3⁷ = 2,187

⇒ 3⁷ ÷ 3⁰ = 3⁷ ÷ 1

⇒ 3⁷ ÷ 1 = 2,187

⇒ 3³ × 3⁴ = 3³⁺⁴

⇒ 3⁷ = 2,187

From the calculation of above equations, We have found that only Equation 2 ( option 1 ) 3⁻³ ÷ 3⁴ is not equal to Equation 1 ( question ) 3³ ÷ 3⁻⁴

Therefore, 3⁻³ ÷ 3⁴ ≠ 3³ ÷ 3⁻⁴

Hence, Option 1 is the correct answer.

Answer:

12.9x-9

Step-by-step explanation:

add 5.3x and 7.6x

Answer:

12.9x-9

Step-by-step explanation:

First you have to combine the like terms which are 5.3x + 7.6x= 12.9x. Then you just rewrite the equation 12.9x-9. You just leave the 9 by it self because there's no other like terms.

More examples -

5.3x+−9+7.6x

Combine Like Terms:

=5.3x+−9+7.6x

=(5.3x+7.6x)+(−9)

=12.9x+−

Answer:

Step-by-step explanation:

Given,

Parallel sides of the trapezium = 3in, 7in

Height of the trapezium = 5in

Therefore,

Area of the trapezium

[tex] = \frac{1}{2} \times sum \: of \: parallel \: sides \times height[/tex]

[tex] = \frac{1}{2} \times (7 + 3)in \times 5in[/tex]

[tex] = \frac{1}{2} \times 10in \times 5in[/tex]

= 5in × 5in

[tex] = {25in}^{2} [/tex]

Hence,

Area if the trapezium is 25 square inches (Ans)

Answer:

y+2/3x-8

Step-by-step explanation

Y=mx+b is your equation and m=slope and b=equals y intercept

Answer:

25

Step-by-step explanation:

Answer: your slope would be 3

[tex]S_\square = 8 * 8 = 64\\S_\triangle = \frac{ah}{2} = \frac{8*3}{2} = 4 * 3 = 12\\S = S_\square - S_\triangle = 64 - 12 = 52[/tex]

Answer: 52.

Answer:

The correct answer is "The volume of the pyramid is one-third the volume of the prism".

Step-by-step explanation:

The formula for the volume of a rectangular prism is [tex]lwh[/tex], where [tex]l[/tex] represents length, [tex]w[/tex] represents width, and [tex]h[/tex] represents height. The formula for the volume of a rectangular pyramid is [tex]\frac{lwh}{3}[/tex], where [tex]l[/tex] represents length, [tex]w[/tex] represents width, and [tex]h[/tex] represents height. Since the base and height of the rectangular pyramid is the same as the rectangular prism, that means the volume of the pyramid is one-third of the volume of the rectangular prism.

Answer:

The perimeter is 36 cm

Step-by-step explanation:

Given;

area of the rectangle, A = 81 cm²

let the Length, = L

let the breadth = b

Perimeter, P = 2L + 2b

Area, A = Lb = 81

[tex]L = \frac{81}{b} \\\\P = 2(\frac{81}{b} ) \ + \ 2b\\\\P = \frac{162}{b} \ + \ 2b\\\\P = 162(b^{-1}) \ + \ 2b\\\\minimize \ the \ perimeter \ to \ obtain \ the \ critical \ points;\\\\P' = -162 (b^{-2}) \ + \ 2\\\\P' = \frac{-162}{b^2} \ + \ 2\\\\P' = \frac{-162 \ + \ 2b^2}{b^2} \\\\at \ critical \ points; P' = 0\\\\\frac{-162 \ + \ 2b^2}{b^2} = 0\\\\-162 \ + \ 2b^2 = 0\\\\2b^2 = 162\\\\b^2 = 81\\\\b = +/- \ \sqrt{81} \\\\b = +/- \ \ 9\\\\[/tex]

[tex]since \ the \ breadth \ will \ be \ positive \ ; b = 9 \ cm[/tex]

L = 81/9

L = 9 cm

The perimeter = 2 (L + b)

                         = 2 (9 + 9)

                         = 2(18)

                         = 36 cm

Answer:

Width: 16 in.,  Length:  18 in.

Step-by-step explanation:

Consecute even/odd problems seem a bit weird at first.

You choose a variable to represent the first integer, say  n .  Assume it's even (no symbolic way to tell!).  If  n  is even, then the next consecutive integer is  n + 2.  You add two because you want to skip one integer.

Width:  n

Length:  n + 2

Area is length multiplied by width, so

[tex]n(n+2)=224\\\\n^2+2n=224\\\\n^2+2n-224=0\\\\(n+14)(n-16)=0\\\\n+14=0 \text{ or } n-16=0\\\\n=-14 \text{ or }n=16[/tex]

The negative solution makes no sense, so use n = 16

Width: 16

Length: 18

Answer:

answer: 361.88

Hope that helps!

Answer:

95

Step-by-step explanation:

The sum of any straight angle is 180 (Therom)

180 - (50 +35) =95

Step-by-step explanation:

transformation : f(x) --> g(x) = -2x + 4

Answer:

r = 8.5 inches

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

17 pi = 2 * pi *r

Divide each side by 2 pi

17 pi / ( 2pi) = 2 * pi r/ ( 2 pi)

17/2 = r

8.5 = r

The answer is 8.5 inches.

Answer:

30

Step-by-step explanation:

I think I cant tell what it says

An equivalent expression of (33 x 66) - 3 is 2175.

The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.

Given:

We have an expression,

(33 x 66) - 3.

Solving further by using PEMDAS,

33 x 66 = 2178

Now,

(33 x 66) - 3,

= 2178 - 3

= 2175

Therefore, the solution is 2175.

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Answer:

Consecutive integers are those numbers that follow each other. They follow in a sequence or in order. For example, a set of natural numbers are consecutive integers.

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

7234.56 km³

Step-by-step explanation:

Volume = 4/3(πr³)

Volume = 4/3(3.14 * 1728)

Volume = 4/3(5425.92)

Volume = 7234.56

Units = km³

7234.56 km³

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

We can’t see whether the circle is filled or not.

If the circle is filled, x ≥ -3.

If the circle is not filled, x > -3.