Please help me.
And explain how you got your answer please.

ANSWERS:

1) ∛216²=36

2) √81= 9

3) √4∧5=32

4)1.55

5)25

6)X

Answer:

44

Step-by-step explanation:

delta math

The length of t is approximately 43.60 cm, to the nearest centimeter.

The properties of the triangle are:

1. The sum of all the angles of a triangle (of all types) is equal to 180°.

2. The sum of the length of the two sides of a triangle is greater than the length of the third side.

3. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

To find the length of side t in triangle RST, we can use the law of cosines, which relates the lengths of the sides and the cosine of one of the angles in a triangle:

[tex]c^2 = a^2 + b^2 - 2ab cos(C)[/tex]

where c is the length of the side opposite the angle C, and a and b are the lengths of the other two sides.

In this case, we know that:

r = RS = 52 cm

s = ST = 55 cm

∠T = 48°

So, we want to find the length of t, which is the side opposite the angle T.

Let's call the length of t "c". Then, applying the law of cosines, we have:

[tex]c^2 = r^2 + s^2 - 2rs cos(T)\\\\c^2 = (52 cm)^2 + (55 cm)^2 - 2(52 cm)(55 cm) cos(48^0)\\\\c^2 = 1901.57[/tex]

Taking the square root of both sides, we get:

c= 43.60 cm

Therefore, the length of t is approximately 43.60 cm, to the nearest centimeter.

Learn more about triangles here:

https://brainly.com/question/2773823

#SPJ2

9514 1404 393

Answer:

  ∠S = 38°

Step-by-step explanation:

The sum of angles in a triangle is 180°, so you have ...

  (x+17)° +(2x-2)° +(5x+5)° = 180°

  8x +20 = 180  . . . . .  divide by °, collect terms

  8x = 160 . . . . subtract 20

  x = 20 . . . . . . divide by 8

∠S = (2x -2)° = (2·20 -2)°

∠S = 38°

Answer:

f(g(x)) = 2x - 7

g(f(x)) = 2x - 2

Step-by-step explanation:

basically, you just want to plug in the g(x) function wherever you see an x in the f(x) function

f(g(x)) = 2(x - 5) + 3

         = 2x - 10 + 3

         = 2x - 7

the inverse function is doing the same thing but plugging in f(x) wherever you see an x in the g(x) function

g(f(x)) = (2x + 3) - 5

         = 2x + 3 - 5

         = 2x -2

Answer:

p = 421 - 376 over 376

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

Since ∆ABC is congruent to ∆DEC, their corresponding angles would be equal to each other.

<B is congruent to <E, therefore,

<B = <E

x + 15 = 6x - 65 (substitution)

Collect like terms

x - 6x = -15 - 65

-5x = -80

Divide both sides by -5

x = 16

Answer:

The three ways to solve a system of equations are substitution, elimination, and graphing. You can use these methods to solve any system of equations, it just depends on which method you use.

Step-by-step explanation:

In the substitution method, you get one variable isolated on one side of an equation, then use that equation to substitute the variable with what it's equal to into the second equation to solve the equation.

In the elimination method, you get all the variables in your equations together one side, and the constant on the other. Then, multiply or divide one or two equations to get one variable with the same coefficient for both equations (be sure to multiply or divide both sides to each equation), and add or subtract the equations together to get rid of that variable (make sure to add the left sides of the equations together and the right sides of the equations together, no the opposite!) and solve the equation.

In the graphing method, you solve for y in each equation, graph both equations on a coordinate plane, and find the point of intersection for both lines to solve the equation (For example, if the point of intersection is (2, 7), the answer to your equation would be X = 2 and Y = 7).

Answer:

3

Step-by-step explanation:

Answer:

9000

Step-by-step explanation:

Answer:

5,400

Step-by-step explanation:

5% = 270

270 ÷ 5 = 54

54 × 100 = 5400

Answer:

Slope Number 1 is Harry.

Step-by-step explanation:

y = -1/2 + 30

-1 being one less exercise to complete

2 being the 2 minutes spent on each exercise

and 30 being the number of exercises

Answer:

B

Step-by-step explanation:

Hope this helps

Answer:

It would be B

Step-by-step explanation:

Hope this helps

Answer:

The vertex of f(x) is at (-5,-10).

The function g(x) is decreasing at a rate of 5%.

The zeros of h(x) are at x = -3 and x = 1.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, f(x_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]f(x_{v})[/tex]

Decaying exponential function:

A decaying exponential function has the following format:

[tex]A(x) = A(0)(1-r)^{x}[/tex]

In which A(0) is the initial quantity and r is the decay rate.

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Vertex of f:

The function f is given by:

[tex]3(x+5)^2 - 10[/tex]

Expanding the calculations to place at the correct format:

[tex]3(x+5)^2 - 10 = 3(x^2 + 10x + 25) - 10 = 3x^2 + 30x + 75 - 10 = 3x^2 + 30x + 65[/tex]

Which means that

[tex]a = 3, b = 30, c = 65[/tex]

The x-value of the vertex is:

[tex]x_{v} = -\frac{30}{2*3} = -5[/tex]

The y-value of the vertex is:

[tex]f(-5) = 3(-5+5)^2 - 10 = -10[/tex]

The vertex of f(x) is at (-5,-10).

Decreasing rate of g(x).

We have that:

1 - r = 0.95

So

r = 1 - 0.95 = 0.05

Which means that the decreasing rate is of 5%.

The zeros of h(x) are

The zeros are

x + 3 = 0 -> x = -3

x - 1 = 0 -> x = 1

So

The zeros of h(x) are at x = -3 and x = 1.

Answer:

26;40  simplified is 13/20

Step-by-step explanation:

Answer:

I would say 2 hours

Answer:

64

Step-by-step explanation:

37+27=64

Answer:

C. Mitch, because he gets higher median hours of sleep

Step-by-step explanation:

Answer:

Step-by-step explanation:

A stereo store is offering a special price on a complete set of components (receiver, compact disc player, speakers, turntable). A purchaser is offered a choice of manufacturer for each component.

Receiver: Kenwood, Sony, Sherwood

Compact disc player: Onkyo, Pioneer, Sony, Technics

Speakers: Boston, Infinity, Polk

Turntable: Onkyo, Sony, Teac, Technics

A switchboard display in the store allows a customer to hook together any selection of components (consisting of one of each type). Use the product rules:

A. In how many ways can one component of each type beselected?

B. In how many ways can components be selected if boththe receiver and the cd player are to be sony?

C. In how many ways can components be selected if noneis to be sony?

D. In how many ways can a selection be made if at leastone sony component is to be included?

E. If someone flips the switches on the selection in acompletely random fashion, what is the probability that the systemselected contains at least one sony component?

Answer:

1600

Step-by-step explanation:

pls brainliest

Answer:

hope it helped have a good day mate

Answer:

I'm pretty sure the answer is B.

Step-by-step explanation:

Hope this helps u out!

Answer:

Step-by-step explanation:

You divide 2837 by 3 then your is 947

Answer:

A

Step-by-step explanation:

As 2 < a < 5, only option A suffices this condition, because 2 < 3 < 5.

Answer:

1 cm = 4 km.

Step-by-step explanation:

I think you want the scale of the map.

It is  1 cm = 8/2 = 4 km.

Answer:

50 coffees

(and 40 empanadas)

Step-by-step explanation:

x= coffee y=empanadas

.5x+2y=105

x+y=90

Isolate a variable

x+y=90

x-90= -y

-x+90=y

Plug this in for y in the other equation

.5x+2(-x+90)=105

Solve for x

.5-2x+180=105

-1.5x= -75

x=50

we can stop here but that's lame so let's figure out how many empanadas she sold

we know that x=50 so we can just plug this into either beginning equation and solve for y

50+y=90

y=40