Ben and Cam are scuba diving. Ben is 15.8 meters below the surface of the water. Cam is 4.2 meters below
Ben. Andrew is a further 16 meters.


Part 1 Write an expression That'll allow you to find Andrew's depth.

Part 2: What's Andrew's depth?

Answer:

See below ↓

Step-by-step explanation:

We need to check the different time intervals to find the max. height

   2. t = 2

⇒ Clearly as she is diving, her maximum height will be her initial height which is 12 feet

⇒ To achieve this, it takes her 0 seconds [initial height = no time needed]

Taking f(x) = 0 [surface of water → just touching/hit the water]

⇒ After 1 second, she is 12 feet above the water

⇒ The diving board is 12 feet above the water

Answer:

b) Quad ABCD must be a rectangle and could be a rhombus

Step-by-step explanation:

:)

Step-by-step explanation:

the outer left side is also 50 ft.

in inner (upper) left side is also 13 ft.

the bottom line is 10+20+11 = 41 ft

this is all possible because all the angles are clearly right angles (90°).

so, the perimeter is

2×(10+20+11) + 2×50 + 2×13 = 82 + 100 + 26 = 208 ft

Using proportions, it is found that there are c + 0.25n cents in n nickels and c cents.

A proportion is a fraction of a total amount. To solve problems involving proportions, such as this one, multiplications of the amounts and their values are made.

In this problem, we consider that each nickel has 0.25 cents, hence, there are c + 0.25n cents in n nickels and c cents.

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c+0.25n cents is the answer.

Answer:

137°

Step-by-step explanation:

90+47= 137°

the sum of two interior angles is equally to the further exterior angle.

(2×100)+(3×1)+(4×1/10)+(3×1/1000)

200+3+0.4+0.003

203.401

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The equivalent number is, 203.403.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expanded form of an number is,

⇒ (2 x 100) + (3 x 1) + (4 x 1/10) + 3 x 1/1,000)​

Now, We can write the number as;

⇒ (2 x 100) + (3 x 1) + (4 x 1/10) + (3 x 1/1,000)​

⇒ 200 + 3 + 0.4 + 0.003

⇒ 203.403

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Answer:

125x^15

Step-by-step explanation:

Hope this helps! :)

S1: ∠YLF ≅ ∠FRY (Given)

S2: ∠RFY ≅ ∠LFY (Given)

S3: FY ≅ FY (Transitive property)

S4: ΔFRY ≅ ΔFLY (AAS theorem)

The AAS congruence theorem states that if two triangles have two pairs of corresponding congruent angles, and a pair of corresponding non-included side that are congruent, then both triangles area congruent.

To prove that ΔFRY ≅ ΔFLY, the proof that shows they are congruent by the AAS congruence theorem is:

S1: ∠YLF ≅ ∠FRY (Given)

S2: ∠RFY ≅ ∠LFY (Given)

S3: FY ≅ FY (Transitive property)

S4: ΔFRY ≅ ΔFLY (AAS theorem)

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Answer:

36:24

Step-by-step explanation:

The second number was :24, and you started out with 6:4.

To get the 24, you would have to multiply the 4 by 6 to get the 24.

So, multiply the first number 6, as well by 6.

6 x 6 = 36

36:24

:)

Answer: 36

Step-by-step explanation: 6:4 = __:24

1. 4 goes into 24, 6 times because 4x6=24 so you have to multiply 6 to 6 and 6x6=36.

Answer:

335.69

Step-by-step explanation:

If the exchange rate of USD to Kuwaiti Dinar is 0.2879, multiply the amount of USD by the exchange rate to get the answer.

$1,166 x 0.2879 = 335.6914

335.6914 rounded to the nearest hundredth (two decimal places) is 335.69

So, it is A, 335.69 dinar.

335.69 dinar Sharon will get in exchange for $1,166 option (a) 335.69 is correct.

It is defined as the comparison between two quantities that how many times the one number acquires the other number. The ratio can be presented in the fraction form or the sign : between the numbers.

We have a total amount that will need to convert = $1,166

Exchange rate of us dollars to kuwaiti dinar = 1 : 0.2879

It means $1 converted into 0.2879 dinar

The amount $1,166 in kuwaiti dinar = 1166×0.2879

= 335.69 dinar

Thus, 335.69 dinar Sharon will get in exchange for $1,166 option (a) 335.69 is correct.

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Answer:3

Step-by-step explanation:I’m the best

Answer: (1) and (4)

Step-by-step explanation:

The parts listed in the ciongruence statements don't correspond, so they aren't necessarily congruent.

An equation is formed of two equal expressions. The equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation that is given to us is 4x²+24x-y+43=0, and we need to write the given equation in the form of y=(x)². Therefore, the equation can be solved in the following steps,

[tex]4x^2+24x-y+43=0\\\\4x^2+24x-y+36+7=0\\\\(4x^2+24x+36)-y+7=0\\\\(2x+6)^2-(y-7)=0\\\\(y-7)=(2x+6)^2[/tex]

Hence, the equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².

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Answer:

?=2

Step-by-step explanation:

1. Solve

?/10+8/100=28/100

?/10+8/100-8/100=28/100-8/100

?/10=20/100

2. Simplify

20/100=2/10

so, ?/10=2/10

3. Check

2/10+8/100=28/100

20/100+8/100=28/100

28/100=28/100

Correct !

4. Answer

Answer:

17.5 %

Step-by-step explanation:

5.6 is 17.5 percent of 32

Answer:

4 dollars per friend

Step-by-step explanation:

So, if 4 friends are paying 12 dollars, to find the total, we do 4 * 12 = 48

48 is how much the 4 friends paid

If 12 friends pay to hire the same group, (resemble for the same price of 48 dollars), is we do, 48 dollars ÷ 12 friends = 4 dollars per friend

Using proportions, it is found that it takes [tex]3.5 \times 10^{23}[/tex] meter sticks to equal the mass of the moon.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, one meter stick has a mass of 0.2 kg. How many meter sticks are needed for a mass of [tex]7 \times 10^{22} \text{kg}[/tex]? The rule of three is given by:

One meter stick - 0.2 kg

x meter sticks - [tex]7 \times 10^{22} \text{kg}[/tex]

Applying cross multiplication:

[tex]0.2x = 7 \times 10^{22}[/tex]

[tex]x = \frac{7 \times 10^{22}}{0.2}[/tex]

[tex]x = 35 \times 10^{22}[/tex]

[tex]x = 3.5 \times 10^{23}[/tex]

It takes [tex]3.5 \times 10^{23}[/tex] meter sticks to equal the mass of the moon.

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P = 2 x (5,5 + 3,5) = 18 cm

P = is the circumference of the figure

Answer:

the answer should be 18 cm

you can either do 2 × (length + width)

2 × (5.5 + 3.5)

2 × 9 = 18

or

5.5 + 5.5 = 11

3.5 + 3.5 = 7

11 + 7 = 18

either way it's 18, I hope this helps

The simulation of the gender of a child by the couple is an illustration of probability.

The number of trials (n) is given as:

n = 90

The chance of getting each gender is equal.

So, we have:

P(Boy) = 0.5

P(Girl) = 0.5

The simulation would be based on numbers 0 to 9. Such that:

Notice that each gender have the same amount of digits i.e. 5

This is so because they both have equal chance

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Answer:

The one on the very top left corner is the right one.

Step-by-step explanation:

It shows the exact data that you were looking for: ten small apples were green and 3 out of the 12 large apples were red.

Answer:

18 +2

Step-by-step explanation:

it's like 3x you just add each side 3 then you will get the answer. and the (+2) stays the same.

The effect  of adding k on the graph of f(x) will shift the curve upward by k units on the xy-plane.

Given the parent function of the given graph expressed as  f(x) = 2x^2 + 4.

If this function is represented as f(x)+k, the addition of the constant "k" shows hat the  function f(x) has been shifted vertically upwards by a factors of 'k'

Hence the effect  of adding k on the graph of f(x) will shift the curve upward by k units on the xy-plane.

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Apply Pythagorean theorem

So

Answer:

√(122)

Step-by-step explanation:

Pythagoras Theorem:  a² + b² = c²

(where a and be are the legs, and c is the hypotenuse, of a right triangle)

First, find the length of the hypotenuse of the triangle with legs of 9 and 5 units:

⇒ 5² + 9² = c²

⇒ 25 + 81 = c²

⇒ c² = 106

⇒ c = √(106)

Therefore √(106) is the longest leg of the other triangle.

So we can now use this measurement to find x (the hypotenuse) of the other triangle:

⇒ 4² + √(106)² = c²

⇒ 16+ 106 = c²

⇒ c² = 122

⇒ c = √(122)

A≈817.63m²

a Side

15

m

a

a

a

P

A

Solution

A=7

4a2cot(180°

7)=7

4·152·cot(180°

7)≈817.6303m²

Answer: 90.

Step-by-step explanation: According to the question above, 54 Thin Mints cookies were 60% of the total amount of cookies she sold in one afternoon and the remaining 40% is still missing. 54 / 3 is 18, which is part of our answer, because if 54 is 60%, then 18 is 20%. 18 x 2 is 36, and 36 is 40%. Now that we've found the remaining 40%, the rest is adding 54 and 36, which gives you an answer of 90.

Answer:

B and C

Step-by-step explanation:

Answer:

-15/-3,-5/-1

Step-by-step explanation:

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Answer:

x=7   y= -3

Step-by-step explanation:

When you ADD both the x variable is cancelled

since -3x + 3x = zero

then you solve for y  And when you plug the value of y you will solve x

     2y-3x =-27

     5y+3x =6

   ADD BOTH

    7y = -21

    y = -3

     PLUG y

5(-3)+3x  = 6

 -15 + 3x = 6

     3x = 21

      x=7