What is the runner’s speed? minutes per mile

5 square root 18x2y5 simplify work shown plz

zaharov [31]

Answer:

mhhhhhmhmhhm

Step-by-step explanation:

3 0

3 years ago

Charlie is standing 45 feet from the base of 100 foot tall tree. What is the angle of elevation from him to the kite stuck on to

galben [10]

Hey. Let me help you on this one.

In order for us to solve this problem easier, let's break it apart. We can also graph the triangle so we get visual of this problem.

I drew a quick graph for you to easier understand this question. As you can see, Charlie is standing below the tree 45 feet from it, and we need to find the unknown angle measure.

Let's form a SOHCAHTOA function which you have probably already learned in your Geometry course.

First of all let's identify our sides. The side opposite of the right triangle is a Hypotenuse, and the side that's 45 feet is adjacent, since it's adjacent to the unknown angle.

We know that we need to use $Cos$ (Cosine) with negative power to it in order to solve this question, since we are looking for the unknown angle measure.

Let's form the function which $Cos$ , Hypotenuse, and Adjacent side.

$Cos^{-1} =45/100$

Now, let's solve the left part of this function

$
Cos^{-1} =0.45$

Awesome. You will need to use your calculator for this part. Find the value of 0.45 when negative Cosine is used on it.

$Cos^{-1} =0.45$
$63.25631605$

Awesome. Let's round this number to the closest tenth

$63.3$ is the rounded value we have discussed below.

Answer: 63.3 degrees is the unknown measure of the angle

5 0

3 years ago

What is the cube root of 25

Neko [114]

Answer:

15625

Your welcome. Have a great day :D

7 0

3 years ago

Read 2 more answers

2.1x 10^8 is how many times the value of 4.2 x 10^2?

Airida [17]

Answer:

Step-by-step explanation:

If you want to find out how many times larger something is than something else, you have to divide. We will set up a problem that looks like this:

$\frac{2.1*10^8}{4.2*10^2}$

Diving 2.1 by 4.2 gives us .5; to divide the exponents, we remember that if we divide like bases we have to subtract the exponents. 10 is our base in both cases, so 8 - 2 gives us 6, resulting in:

$.5*10^6$

However, this isn't in scientific notation. We need to move the decimal one more place to the right, which in trn reduces the exponent by 1:

$5*10^5$

6 0

3 years ago

|2-5x|+3<10 how to solve

ivann1987 [24]

1 Simplify — 2 Equation at the end of step 1 : 2 3 1 ((— • x) - ——) - — = 0 5 10 2 Step 2 : 3 Simplify —— 10 Equation at the end of step 2 : 2 3 1 ((— • x) - ——) - — = 0 5 10 2 Step 3 : 2 Simplify — 5 Equation at the end of step 3 : 2 3 1 ((— • x) - ——) - — = 0 5 10 2 Step 4 :Calculating the Least Common Multiple :

4.1 Find the Least Common Multiple

 The left denominator is : 5 

 The right denominator is : 10

Number of times each prime factor
appears in the factorization of: Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right} 51112011 Product of all
Prime Factors 51010

Least Common Multiple:
10

Calculating Multipliers :

4.2 Calculate multipliers for the two fractions

 Denote the Least Common Multiple by L.C.M
 Denote the Left Multiplier by Left_M
 Denote the Right Multiplier by Right_M
 Denote the Left Deniminator by L_Deno
 Denote the Right Multiplier by R_Deno

 Left_M = L.C.M / L_Deno = 2

 Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

4.3 Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num. 2x • 2 —————————————————— = —————— L.C.M 10 R. Mult. • R. Num. 3 —————————————————— = —— L.C.M 10 Adding fractions that have a common denominator :

4.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2x • 2 - (3) 4x - 3 ———————————— = —————— 10 10 Equation at the end of step 4 : (4x - 3) 1 ———————— - — = 0 10 2 Step 5 :Calculating the Least Common Multiple :

5.1 Find the Least Common Multiple

 The left denominator is : 10 

 The right denominator is : 2

Number of times each prime factor
appears in the factorization of: Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right} 21115101 Product of all
Prime Factors 10210

Least Common Multiple:
10

Calculating Multipliers :

5.2 Calculate multipliers for the two fractions

 Denote the Least Common Multiple by L.C.M
 Denote the Left Multiplier by Left_M
 Denote the Right Multiplier by Right_M
 Denote the Left Deniminator by L_Deno
 Denote the Right Multiplier by R_Deno

 Left_M = L.C.M / L_Deno = 1

 Right_M = L.C.M / R_Deno = 5

Making Equivalent Fractions :

5.3 Rewrite the two fractions into equivalent fractions

L. Mult. • L. Num. (4x-3) —————————————————— = —————— L.C.M 10 R. Mult. • R. Num. 5 —————————————————— = —— L.C.M 10 Adding fractions that have a common denominator :

5.4 Adding up the two equivalent fractions

(4x-3) - (5) 4x - 8 ———————————— = —————— 10 10 Step 6 :Pulling out like terms :

6.1 Pull out like factors :

4x - 8 = 4 • (x - 2)

Equation at the end of step 6 : 4 • (x - 2) ——————————— = 0 10 Step 7 :When a fraction equals zero : 7.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

4•(x-2) ——————— • 10 = 0 • 10 10

Now, on the left hand side, the 10 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
4 • (x-2) = 0

Equations which are never true :

7.2 Solve : 4 = 0

This equation has no solution.
 A a non-zero constant never equals zero.

Solving a Single Variable Equation :

7.3 Solve : x-2 = 0

Add 2 to both sides of the equation :
 x = 2

One solution was found : x = 2

4 0

3 years ago