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2 years ago

Help picture below problem 16

Mathematics

1 answer:

weeeeeb [17]2 years ago

5 0

The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.

*look at the image I attached for a better explanation

By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

$?^2+9^2 = 16^2\\?^2 + 81=256\\?^2 = 175\\? = 13.2$

Thus the missing side length is 13.2 cm

Hope that helps!

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Amelie has a spinner divided into ninths equal sections that are labeled 1 through 9. she wants to compare the theoretical proba

VMariaS [17]

The theoretical probability = $\dfrac{5}{9}$ , The experimental probability = $\dfrac{5}{12}$

<h3>What is experimental probability?</h3>

The experimental probability of an event occurring is the number of times that it occurred when the experiment was conducted as a fraction of the total number of times the experiment was conducted.

The sample will be ={1,2,3,4,5,6,7,8,9}=9

favourable outcomes={1,3,5,7,9,}=5

The theoretical probability of spinning and odd number = $\dfrac{5}{9}$

As she spends the spinner 12 times

The experimental probability = $\dfrac{5}{12}$

Hence the theoretical probability = $\dfrac{5}{9}$ , The experimental probability = $\dfrac{5}{12}$

Learn more about experimental probability here:

brainly.com/question/3733849

#SPJ1

3 0

2 years ago

Read 2 more answers

15. What is the algebraic notation of a figure is Translated 8 units left and 2 units up?

sasho [114]

Answer:

Please check the explanation.

Step-by-step explanation:

When a figure is translated with 8 units left and 2 units up, it means the translated figure can be obtained by subtracting 8 units from the x-axis and adding 2 units to the y-axis.

For example, if a point P(0, 0) is translated with 8 units left and 2 units up, the new position of the point will be:

(x, y) → (x-8, y+2)

P(0, 0) → P'(0-8, 0+2) = P'(-8, 2)

Thus, the new location of the image of point P will be: P'(-8, 2)

Therefore, option (a) is the correction answer.

FOR QUESTION 16

As the algebraic notation of a figure is Translated 2 units right and 5 units up.

Translating 'a' units right mean, we need to add 'a' units to the x-axis.

Thus, the rule will be:

(x, y) → (x+2, y+5)

Therefore, option (b) is correct.

4 0

3 years ago

64 percent of the animals shelter are dogs about what fraction of the animals at the shelter are dogs

Lilit [14]

I think it would be 64/100 because 64 percent is most likely out of 100 percent

3 0

4 years ago

Jackson's grandmother is moving to a new house. Grandmother has eighty-seven boxes for Jackson to put in the truck. Jackson puts

Gekata [30.6K]

31+36+14=81 boxes
87-81=6 boxes left to put in the truck

6 0

3 years ago

The volume of a sphere is decreasing at a constant rate of 116 cubic centimeters per second. At the instant when the volume of t

nirvana33 [79]

Answer:

$\frac{dr}{dt} = -1.325 \ cm/s$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Calculus

Derivatives

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Taking Derivatives with respect to time

Step-by-step explanation:

Step 1: Define

Given:

$V = \frac{4}{3} \pi r^3$

$\frac{dV}{dt} = -116 \ cm^3/s$

$V = 77 \ cm^3$

Step 2: Solve for r

Substitute: $77 = \frac{4}{3} \pi r^3$
Isolate r term: $\frac{77}{\frac{4}{3} \pi} = r^3$
Isolate r: $\sqrt[3]{\frac{77}{\frac{4}{3} \pi}} = r$
Evaluate: $2.63917 = r$
Rewrite: $r = 2.63917 \ cm$

Step 3: Differentiate

Differentiate the Volume Formula with respect to time t.

Define: $V = \frac{4}{3} \pi r^3$
Differentiate [Basic Power Rule]: $\frac{dV}{dt} = \frac{4}{3} \pi \cdot 3 \cdot r^{3-1} \cdot \frac{dr}{dt}$
Simplify: $\frac{dV}{dt} = 4 \pi r^2 \cdot \frac{dr}{dt}$

Step 4: Find radius rate

Substitute in variables: $-116 \ cm^3/sec = 4 \pi (2.63917 \ cm)^2 \cdot \frac{dr}{dt}$
Isolate dr/dt rate: $\frac{-116 \ cm^3/s}{4 \pi (2.63917 \ cm)^2} = \frac{dr}{dt}$
Evaluate: $-1.3253 \ cm/s = \frac{dr}{dt}$
Rewrite: $\frac{dr}{dt} = -1.3253 \ cm/s$
Round: $\frac{dr}{dt} = -1.325 \ cm/s$

Our radius is decreasing at a rate of -1.325 cm per second.

6 0

3 years ago