What is the perimeter of Building 1?

Answer:

1/8

Step-by-step explanation:

The lowest common multiple of 4 and 8 is 8.

1/4 = 2/8

3/8 - 1/4 = 3/8 - 2/8 = (3 - 2)/8 = 1/8

1/8 cannot be simplified further.

Based on the trigonometry ratios and the Pythagorean theorem both of them were incorrect.

Cos A = 4/5; Sin A = 3/5

The Trigonometry ratios relates the length of the sides of a right triangles. They are given as:

If two sides of a right triangle are known the third side can be determined using the Pythagorean theorem, which is given as, c² = a² + b², where and b are legs, and c is the hypotenuse of the right triangle.

1. Given that tan A = 3/4, it is not necessarily true that BC MUST have a length of 3 units, and AC MUST have a length of 4 units, because:

If BC = 9 units and AC = 12 units, the it will give us the same tangent ratio as:

tan A = 9/12 = 3/4.

Therefore, Angelica's mistake is stating that BC MUST be 3 units, and AC MUST be 4 units.

2. Knowing two length of the sides of a right triangle is enough information needed to find the length of the third side using the Pythagorean theorem, so Graceilla is incorrect.

3. Find AC using the Pythagorean theorem:

AB = √(3² + 4²)

AB = 5 units.

Cos A = adj/hyp = AC/AB

Cos A = 4/5

Sin A = opp/hyp = BC/AB

Sin A = 3/5

Learn more about the trigonometry ratios on:

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Answer:

C) 224 square centimeters.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

4 divided by 1/4 =

4/.25

16

Answer:

Vertex form of a quadratic equation is y=a(x-h)2+k, where (h,k) is the vertex of the parabola

The vertex of a parabola is the point at the top or bottom of the parabola

Step-by-step explanation:

Different textbooks have different interpretations of the reference "standard form" of a quadratic function. Some say f (x) = ax2 + bx + c is "standard form", while others say that f (x) = a(x - h)2 + k is "standard form". To avoid confusion, this site will not refer to either as "standard form", but will reference f (x) = a(x - h)2 + k as "vertex form" and will reference f(x) = ax2 + bx + c by its full statement.

#1

Put (2,-5)

Equation

#2

Put (5,9)

Equation

#3

put (-1,14)

Equation

#4

Put (1,-8)

Equation

y=-5/16(x-5)²-3

Answer:

I just need points.

Step-by-step explanation:

Answer:

√136 units

Step-by-step explanation:

We are given that;

Since the provided triangle is a right triangle, we can use pythogoras theorem to determine the missing side length of the triangle.

Pythogoras theorem is a formula that is used to determine the missing side length of a right triangle, with the following given;

Pythogoras theorem is denoted as;

Where, "c" is the hypotenuse; "b" and "a" are the legs.

When we substitute the measure of the two legs and the hypotenuse of the triangle, we get;

Now, let's simplify the equation to determine the value of "x".

The measure of the missing side is √136 units.

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Answer:

136

Step-by-step explanation:

Answer:

AB = 23 , BC = 13

Step-by-step explanation:

Isosceles mean two side angle is equal to each other.

AB and AC are the same. So we can solve for x.

[tex]AB=AC\\5x-7=23\\5x=30\\x=6\\\\AB = 5x-7\\AB = 5*6-7\\AB=30-7\\AB = 23\\\\BC = 3x-5\\BC = 3*6-5 = 18 - 5 = 13\\BC = 13[/tex]

Answer:

Step-by-step explanation:

Because they tell us it's an isosceles triangle we know two sides are the same length.  since AB and AC look like they are similar we can assume that those sides are the exact same length.    Since we know , now, that AB and AC are equal in length,  set them equal

AB = AC

now plug in given info

5x-7 = 23

nice,  now use your super hero algebra skillz to solve for X.  My calculus prof.  always says that students are bad at algebra, i'll help you do the algebra.

5x-7=23  ( add 7 to both sides)

5x=23+7  (add 7 to 23 )

5x=30      (divide both sides by 5 )

x=6

yay,  we have X now.

we know AB =23 , because of the isosceles triangle thing.

BC = 3x-5

plug in for X :)

3*6-5=BC

18-5=BC

13=BC

Yay,  all the answers, and way to get the answers are above :P

Answer:

  209.25 ft²

Step-by-step explanation:

The area of the composite figure is the sum of the areas of its parts. Those parts are a triangle, rectangle, and semicircle.

__

The area formula is ...

  A = 1/2bh

  A = 1/2(6 ft)(10 ft) = 30 ft²

The area formula is ...

  A = bh

  A = (14 ft)(10 ft) = 140 ft²

The area formula is ...

  A = 1/2πr² . . . . where radius r is half the diameter

  A = 1/2(3.14)(5 ft)² = 39.25 ft²

The sum of the areas of the parts is ...

  total area = (30 +140 +39.25) ft² = 209.25 ft²

The function that  represents the amount of money in the account after t years is f(t) = $2000(1.0033^12t).

The money in his account in five years would be $2442.

The number of years it would take to have a value over $2500 is 6 years.

The formula for calculating future value:

FV = P (1 + r)^nm

f(t) =  $2000(1.0033^60) = $2442

f(6) =  $2000(1.0033^72) = 2535.41

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Answer:

9.3 = 93 / 10

Step-by-step explanation:

Step-by-step explanation:

421×9=3789 it is easy when you know your multiple choice

Answer:

  $82.50

Step-by-step explanation:

This problem requires you round the given bill value, then compute a fraction of that rounded value.

__

We want to round the bill value to the nearest $10. The digit to the right of the tens digit is 1, so we simply replace that and all digits to the right with zeros. (Had the ones digit been 5 or more, we would increment the tens digit before zeroing digits to its right.)

  $551.60 rounded to nearest $10 is $550.00

__

The amount of the tip is found by multiplying the bill by the tip rate.

  $550 × 15% = $550 × 0.15 = $82.50

The amount of the tip is approximately $82.50.

_____

Additional comment

It is often relatively easy to compute a tenth or half of something in your head. We know that 15% = 10% + (1/2)(10%), and that 10% of $550 is $55.

Half of $55 is $27.50, so the tip amount will be $55.00 +27.50 = 82.50, a calculation you can do mentally.

Answer:

the answer to your problem is c

Answer:

Did you copy C correctly?  

If not, then C should equal 8x^2 - 16

Step-by-step explanation:

Simplify  7x^2 - 4^2 + x^2

I hope this helps!

Check the picture below.

Answer:

slope= 0.2; intercept=-1; slope-interception form: y=0.2x-1.

Step-by-step explanation:

1) if to re-write the given equation, then

[tex]y=\frac{1}{5}x-1;[/tex]

or y=0.2x-1;

this equation is slope-interception form;

2) according to the new view of the equation,

the required slope is 1/5;

the required y-intercept is -1.

Answer:

Step-by-step explanation:

There are nothing else that can multiply to get to 206, so this is the answer.

Solve:

This is the only equation that can make 206 with 3 numbers.

Answer:

[tex]a=[/tex] ±[tex]5[/tex]

Step-by-step explanation:

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

equal to zero

[tex]a^{2} -25=0[/tex]

factor: difference of squares

[tex](a+5)(a-5)=0[/tex]

first factor:

[tex]a+5=0\\a_{1} =-5[/tex]

second factor:

[tex]a-5=0\\a_{2} =5[/tex]

Hope this helps

Answer:

$2.48

Step-by-step explanation:

29.75/12 =2.479

The answer is C. A fraction is basically another way of writing division, and  six divided by three is two.

The expected outcomes less than 4 is the average of the outcomes

We would expect to get a number less than four out of 200 trials 100 times

The sample space of a number cube is:

S = {1,2,3,4,5,6}

There are 3 outcomes less than 4.

So, the probability of obtaining a number less than 4 is:

p = 3/6

This gives

p = 0.5

In a roll of 200, the expected outcomes less than 4 is:

E(x) = 0.5 * 200

This gives

E(x) = 100

Hence, we would expect to get a number less than four out of 200 trials 100 times

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Answer:

100

Step-by-step explanation:

Step-by-step explanation:

the answer is in the attachment.

hope this helps you.

Answer x=2.7

Step-by-step explantion

x^2 +x-20=0

combine like terms.. so x^2 AND X TURN INTO X^3

X^3-20=0

THE SUBTRACT 20 FROM EACH SIDE

X^3=20

x=2.7

:)

Answer:

[tex]SOLUTION:-[/tex]

[tex] \rm{passed \: percent = { \displaystyle{33 \frac{1}{3} \%} = \frac{100}{3}\% }}[/tex]

[tex]{ \displaystyle{ \rm{failed \: percent = \left( 100 - \frac{100}{3} \right)}\%}}[/tex]

[tex]\displaystyle{ \frac{3 \times 100 - 100}{3}\% }[/tex]

[tex]\displaystyle{ \frac{200}{3}\% }[/tex]

Let,x be the total number of examinees:-

We have,

[tex]\displaystyle{ \frac{200}{3}\% \: \rm{of \: x = 240} }[/tex]

[tex]\displaystyle{ \frac{200}{3} \times \frac{1}{100} \rm \: x = 240}[/tex]

[tex]\displaystyle{ \rm{x = \frac{240 \times 3 \times 100}{200} }}[/tex]

[tex]\displaystyle{ \rm{x = 360}}[/tex]

Hence,required number of examinees = 360 .

Answer:

6/11

Step-by-step explanation:

[tex]p(number \: less \: than \: 4) = \frac{3}{11} [/tex]

[tex]p(odd \: number) = \frac{5}{11} [/tex]

[tex]p(number \: \: less \: than \: 4 \: and \: odd) = \frac{2}{11} [/tex]

Now we know that

[tex]p(aUb) = p(a) + p(b) - p(anb)[/tex]

[tex]p(getting \: number \: less \: than\: 4 \: or \: odd \: number) = [/tex]

[tex] = \frac{3}{11} + \frac{5}{11} - \frac{2}{11} [/tex]

[tex] = \frac{6}{11} [/tex]

I hope it helped you

Answer:

60 m^3

Step-by-step explanation:

3 x 4 x 5 = 60

The others are self explanatory

Answer:

(3*8*) ^*7*8*

Step-by-step explanation:

IM DONE TO SHOW YOU