Answer: 150 pounds
Step-by-step explanation:
Let the the astronaut weight on Earth be represented by x.
Based on the information given in the question, thus can be formed into an equation as:
16.5% of x = 24.75
16.5% × x = 24.75
16.5/100 × x = 24.75
0.165x = 24.75
x = 24.75/0.165
x = 150 pounds
The astronaut weigh 150 pounds on Earth.
Let us say that h is the height of the guardrail.
Therefore the inequality equation that we can generate from this scenario is:
| h – 106 | = ± 7
There are two ways to solve this, either the equation is
positive or negative.
When the equation is positive, therefore:
| h – 106 | = 7
h = 7 + 106 = 113 cm
When the equation is negative, therefore:
| h – 106 | = - 7
h = -7 + 106 = 99 cm
So the height must be 99 cm to 113 cm
We know that the form of line passing through point (x₀ , y₀) and having slope m is : y - y₀ = m(x - x₀)
Here the line passes through the point (-2 ,9)
x₀ = -2 and y₀ = 9 and Given : Slope(m) = -14
Equation of the line :
⇒ y - 9 = -14(x + 2)
3rd Option is the Answer
Answer:
TT , TW , TL , LT , LW , LL , WT , WW , WL
Step-by-step explanation:
They tell us that Maggie's fubtol team can can win (W), lose (L), or tie (T) each game, which means that it has 3 possible results and is two games, therefore the number of results would be :
Hence 2 Games will have 3² possible out comes.
3² = 9
In other words, there are a total of 9 possible results, distributed as follows:
T W L
T W L T W L T W L
TT TW TL WT WW WL LT LW LL
It means that the possible outcomes are:
TT , TW , TL , LT , LW , LL , WT , WW , WL
Answer:
x = 15
Step-by-step explanation:
Consider the right triangle on the left with hypotenuse h₁ , then
Using Pythagoras' identity
h₁² = x² + 9²
Consider the right triangle on the right with hypotenuse h₂ , then
h₂² = x² + 25²
Now consider the large right triangle with legs h₁ and h₂ , then
h₁² + h₂² = (9 + 25)² , substitute values
x² + 9² + x² + 25² = 34² , that is
2x² + 81 + 625 = 1156
2x² + 706 = 1156 ( subtract 706 from both sides )
2x² = 450 ( divide both sides by 2 )
x² = 225 ( take the square root of both sides )
x = = 15