prove that the angle sum of any triangle is 180°

Answer:

80

Step-by-step explanation:

1:4 = 20:80

We are multiplying 20 by 1 to get 20 grams of coconuts. Also, we are multiplying 4 by 20 to get 80 grams of sugar. Therefore, you will need 80 grams of sugar if you use 20 grams of coconut. By the way, I suggest you review ratios if you are having difficulties with it.

Answer:

did you find the answer ??

The required height of the wall where the ladder meets the wall is 12 m.

Given that,
A ladder that has a length of 13 m leans against a wall with the base of the ladder 5 m away from the bottom of the wall. Use this information to find how high above the ground the ladder meets the wall is to be determined.

In a right-angled triangle, its side, such as hypotenuse, perpendicular and base is Pythagorean triplets.

Here,
Let the height be h,
Applying Pythagoras' theorem,
h = √[13²-5²]
h = √169-25
h = √144
h = 12

Thus, the required height of the wall where the ladder meets the wall is 12 m.

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Answer:

The value of a is 120.

Step-by-step explanation:

Given function;

f(x) = x⁴ - 62x² + ax + 9

find the derivative of the function;

f'(x) = 4x³ - 124x + a

The function (f) attains its maximum value on the interval [0, 2], at x = 1.

f'(1) = 0

0 = 4(1)³ - 124(1) + a

0 = 4 - 124 + a

0 = -120 + a

120 = a

Thus, the value of a is 120.

Answer:

correct answer is d....

Answer:

d (22)^40 +(-7)^40 its very easy

Answer:  y /10

Step-by-step explanation:  step 1 = simplify y/100

                                              step 2 = (5/32 x 64) x y/100

                                              step 3 = simplify 5/32

                                              step 4 = (5/32 x 64) x y/100

                                              step 5 = The answer is y/10

Note: Your equation is a little unclear. But, I am assuming the equation

4/5x -1/4x = 11

The solution would anyways clear your concept.

Answer:

The value of x = 20

Step-by-step explanation:

Given the expression

4/5x -1/4x = 11

Multiply by LCM = 20

4/5x × 20 - 1/4x × 20 = 11 × 20

16x - 5x = 220

11x = 220

Divide both sides by 11

11x/11 = 220/11

x = 20

Thus, the value of x = 20

The meaning of the number that Elena has calculated is; the proportion of tomatoes to onions used in making the salsa recipe

The unit rate is defined as a ratio that represents the rate of something per unit. For example we can say that A car is driving at a speed of 50 kilometers per hour. Thus, the unit rate is 50 kilometers per hour.

Now, we are given a table showing the amounts of onions and tomatoes in different-sized batches of a salsa recipe.

For 2 ounces of onions used, 16 tomatoes are used

For 4 ounces of onions used, 32 tomatoes are used

For 6 ounces of onions used, 48 tomatoes are used

Now, we are told that she takes the number in the tomatoes column and divides it by the corresponding number in the onions column. This would represent the ratio of tomatoes to onions that is used in making a salsa recipe.

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Answer:

c) 42 shrubs

Step-by-step explanation:

Calculation to Find the maximum number of shrubs the garden can accommodate

First step is to calculate the Area of Garden

Area of Garden = (32.2 ft)*(18 ft)

Area of Garden= 579.6ft²

Now let calculate the maximum number of shrubs the garden can accommodate using this formula

Maximum number shrubs=(579.6 ft²)/(13.8 ft² per shrub)

Maximum number shrubs = 42 shrubs

Therefore the maximum number of shrubs the garden can accommodate will be 42 shrubs

Answer:

9 4/5

Step-by-step explanation:

Answer:

22feet11111111111111dddddd

Answer:

Step-by-step explanation:

It is 3.75

The numbers having an even number of factors are 8 and 15.

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

The given numbers are 8, 9, 15, 16, and 25.

Factors of 8 are 1, 2, 4, and 8.

Factors of 9 are 1, 3, 9.

Factors of 15 are 1, 3, 5, 15.

Factors of 16are 1, 2, 4, 8, 16.

Factors of 15 are 1, 5, 25.

Of which 1 and the number itself are improper factors.

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Answer:

a = -2.57 and b = 2.57

Step-by-step explanation:

Explanation:

Given mean of the Population = 212

Standard deviation of the Population = 122

Let  X be the random variable of the Normal distribution

[tex]Z = \frac{x-mean}{S.D}[/tex]

Given P( a ≤ z ≤b) = 0.99

  put a=-b

         P( -b ≤ z ≤b) = 0.99

   ⇒     |A( b) - A( -b)| =0.99

    ⇒     | A( b) + A( b)| =0.99  

   ⇒       2 |A (b)| = 0.99

     ⇒     | A(b)| = 0.495

From normal table find value in areas

          b = 2.57 ( see in  normal table)

         Given a =-b

                   a = - 2.57

Answer:

no, It isnt

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

The percentage of the concentration can be calculated by dividing the amount of solute by the total amount of the solution. In this case the solute would be the 20g of medication while the total solution amount is 100ml. Therefore, we divide these two values like so...

20 / 100 = 0.20

This is the percentage in decimal form, we can now multiply it by 100 to get the percentage value (which in this scenario is simply reversing the previous division)

0.20 * 100 = 20%

Answer: The answer is 999.6 Us dollars

Step-by-step explanation:

Answer:

Slope = ½

Step-by-step explanation:

Find the slope using two points on the line, (-4, 0) and (0, 2):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 0}{0 - (-4)} = \frac{2}{4} = \frac{1}{2} [/tex]

Slope (m) = ½

Answer: 20.25

Step-by-step explanation: All you need to do is multiply 45 by 45%. 45% can be represented by 0.45, 45/100, or just 45%. You answer should be 20.25. Hope this helps!

45 percent of 45 is 20.25.

To calculate 45% of 45, we can multiply 45 by the decimal representation of 45%.

45% can be written as 0.45 (since percent means "per hundred" or "out of 100").

45 × 0.45 = 20.25

Therefore, 45% of 45 is 20.25.

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Answer:

it's the fourth one i did that assignment aswell

Answer:

x  =  450 m

y =  900 m

P (min)  = 1800 m

Step-by-step explanation:

Let´s call   "x"  and  "y" de sides of the rectangular garden, y is the side parallel to the river ( that is it will be fenced only one )

Then:

2*x + y = P        ( perimeter of the area)

And   x * y  = 405000 m²

y = 405000/ x

And P as a function of x is:

P(x) = 2*x +  405000/x

Tacking derivatives relative to x on both sides of the equation.

P´(x)  = 2  - 405000/x²

P´(x) =  0      2*x²  - 405000 = 0

x²  = 202500

x = 450 m

And y =  405000 / 450

y = 900 m

And

P(min) = 2*450 + 900

P(min) = 1800 m

We know P is minimm at x =450 snce the second derivative of P

P´´(x) = 405000*2*x / x⁴   is always positive

Answer:

[tex]f^{-1}\,\circ \,g(5) = 10[/tex]

Step-by-step explanation:

Let [tex]f(x+7) = 3\cdot x -6[/tex] and [tex]g(2\cdot x +1) = x^{2}-1[/tex], we proceed to derive [tex]f(x)[/tex] and [tex]g(x)[/tex] by algebraic means:

(i)  [tex]f(x+7) = 3\cdot x -6[/tex]

1) [tex]f(x+7) = 3\cdot x -6[/tex] Given

2) [tex]f(x+7) = 3\cdot (x+0) - 6[/tex] Modulative property

3) [tex]f(x+7) = 3\cdot [(x+7) +(-7)]-6[/tex] Existence of additive inverse/Associative property

4) [tex]f(x+7) = 3\cdot (x+7) +3\cdot (-7)-6[/tex] Distributive property

5) [tex]f(x+7) = 3\cdot (x+7) -21-6[/tex]   [tex]a\cdot (-b) = -a\cdot b[/tex]

6) [tex]f(x+7) = 3\cdot (x+7) -27[/tex] Definition of subtraction

7) [tex]f(x) = 3\cdot x - 27[/tex] Composition of functions/Result

(ii) [tex]g(2\cdot x + 1) = x^{2}-1[/tex]

1) [tex]g(2\cdot x + 1) = x^{2}-1[/tex] Given

2) [tex]g(2\cdot x + 1) = (x\cdot 1)^{2}-1[/tex] Modulative property

3) [tex]g(2\cdot x +1) = [(2\cdot x)\cdot 2^{-1}]^{2}-1[/tex] Existence of additive inverse/Commutative and associative properties

4) [tex]g(2\cdot x +1) = (2\cdot x)^{2}\cdot 2^{-2}-1[/tex]   [tex]a^{c}\cdot b^{c}[/tex]/[tex](a^{b})^{c} = a^{b\cdot c}[/tex]

5) [tex]g(2\cdot x + 1) = \frac{(2\cdot x)^{2}}{4}-1[/tex] Definitions of division and power

6) [tex]g(2\cdot x + 1) = \frac{(2\cdot x + 0)^{2}}{4} -1[/tex] Modulative property

7) [tex]g(2\cdot x +1) = \frac{[(2\cdot x + 1)+(-1)]^{2}}{4} -1[/tex] Existence of additive inverse/Associative property

8) [tex]g(2\cdot x + 1) = \frac{(2\cdot x + 1)^{2}+2\cdot (2\cdot x + 1)\cdot (-1)+(-1)^{2}}{4} -1[/tex] Perfect square trinomial

9) [tex]g(2\cdot x + 1) = \frac{(2\cdot x + 1)^{2}}{4}+\frac{[2\cdot (-1)]\cdot (2\cdot x + 1)}{4} +\frac{(-1)^{2}}{4}-1[/tex] Addition of homogeneous fractions.

10) [tex]g(x) = \frac{x^{2}}{4}-\frac{2\cdot x}{4} + \frac{1}{4}-1[/tex] Composition of functions/[tex]a\cdot (-b) = -a\cdot b[/tex]

11) [tex]g(x) = \frac{x^{2}}{4}-\frac{x}{2}-\frac{3}{4}[/tex] Definitions of division and subtraction/Result

Now we find the inverse of [tex]f(x)[/tex]:

1) [tex]f = 3\cdot x - 27[/tex] Given

2) [tex]f + 27 = (3\cdot x - 27)+27[/tex] Compatibility with addition

3) [tex]f+ 27 = 3\cdot x +[27+(-27)][/tex] Definition of substraction/Commutative and associative properties

4) [tex]f+27 = 3\cdot x[/tex] Existence of additive inverse/Modulative property

5) [tex](f+27) \cdot 3^{-1} = (3\cdot 3^{-1})\cdot x[/tex] Compatibility with multiplication/Commutative and associative properties

6) [tex](f+27)\cdot 3^{-1} = x[/tex] Existence of multiplicative inverse/Modulative property

7) [tex]f^{-1} (x) = \frac{x+27}{3}[/tex] Symmetrical property/Notation/Result

Finally, we proceed to calculate [tex]f^{-1}\,\circ \, g (5)[/tex]:

1) [tex]f^{-1} (x) = \frac{x+27}{3}[/tex], [tex]g(x) = \frac{x^{2}}{4}-\frac{x}{2}-\frac{3}{4}[/tex]  Given

2) [tex]f^{-1}\,\circ\, g(x) = \frac{\frac{x^{2}}{4}-\frac{x}{2}-\frac{3}{4}+27}{3}[/tex] Composition of functions

3) [tex]f^{-1}\,\circ \,g(5) = 10[/tex] Result

Answer:

8:12

Step-by-step explanation:

8/2=4

4 times 3 = 12

Answer:

7,000

Step-by-step explanation:

Answer:

7000

Step-by-step explanation:

the hundreds is 5 so the 6 is turned into a 7 and the rest become 0, 5 or more let it soar, 4 or less let it rest or something

Answer:

6600

Step-by-step explanation:

0.0575*80000=4600

4600+minimum salary which is 2000=6600

(can I get brainliest please)

Answer:

90 for both

Step-by-step explanation:

90 this is because all right angle equal 90 degrees and, triangles all equal 180 in total so if u add all the angle together it equal 180. I hope this helps.

Answer:

a = 3.46 , c = 9.9

Step-by-step explanation:

These are the following identities:

[tex]sinx=\frac{perpendicular}{hypotenuse} \\\\cosx=\frac{base}{hypotenuse}\\\\tanx=\frac{perpendicular}{base}\\[/tex]

Easier way to learn this is

Some people have curly brown hair till painted black

Sinx   = per/hyp      cosx  = base/hyp  tanx = per/base

So if use the angle 60° we can see that the opposite side(perpendicular) to the angle is 6 and the base side is a so we need the identity which uses the opposite side(perpendicular side) and the base side and not the hypotenuse so that is tan x so,

[tex]tan\ 60=\frac{6}{a} \\\\1.732=\frac{6}{a}\\\\1.732a=6\\a=\frac{6}{1.732}\\\\a=3.46\\[/tex]

So a = 3.46

Now to calculate c:

If we take the angle 45° and see the opposite side(perpendicular side) is 7 and the hypotenuse is c so need the identity which uses the opposite side(perpendicular side) and the hypotenuse and not the base, which is sin x so,

[tex]sin 45=\frac{7}{c}\\\\0.707=\frac{7}{c}\\\\0.707c=7\\\\c=\frac{7}{0.707}\\\\c =9.9\\[/tex]

so c = 9.9

Answer:

the first one

Step-by-step explanation:

she learns the first 2 songs on the first week so the dot has to be lined up with 1 on the x axis and 2 on the y axis. then from there it goes up by 1 on the x axis and 2 on the y axis.

Answer:

coordinates of point B are (-5, -2)

Step-by-step explanation:

Recall that the midpoint of the segment that joins (x1, y1) with (x2, y2) is given by:

( (x1 + x2)/2 , (y1+y2)/2)

Therefore, given the information about the midpoint being (-1, -5) and A being (3, -8) we get:

For the x value (x2) of point B:

-1 = (3 + x2) / 2  then -2 = 3 + x2 and finally solving for x2;  x2 = -2 - 3 = -5

For the y value (y2) of point B:

- 5 = (-8 + y2) / 2  then -10 = - 8 + y2 and finally y2 = -10 + 8 = - 2

Then point B has the coordinates: (-5, -2)