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Nutka1998
9 days ago
11

You can walk 4.4 feet per second. how many minutes will it take you to get to room 117?

Mathematics
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∠A and ∠C are right angles. m∠p = _???_ degrees.
Svet_ta [12734]

Solution

To find the angle m∠p.

Method of proof

In triangle ΔDAB, which is a right triangle

Applying the Pythagorean theorem gives us

Hypotenuse² = Perpendicular² + Base²

DB² = AB² + AD²

Where AB = 5 units

AD = 6 units

Substituting in the formula outcomes in

DB² = 5² + 6²

      = 25 + 36

     = 61

DB = \sqrt{61}\ units

           = approximately 7.8 units

The triangle ΔDCB is also right-angled.

Using the trigonometric identity here.

cosp = \frac{Base}{Hypotenuse}

cosp = \frac{DC}{DB}

Given that DC = 4 units and DB ≈ 7.8 units,

Substituting these values into the trigonometric identity gives us.

cos p = \frac{4}{7.8}

\angle p = cos^{-1}(\frac{4}{7.8})

Thus, we find that ∠p ≈ 59.15 °

5 0
2 months ago
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Write the subtraction fact 10-3 two ways
Zina [12379]
10-3 or 10+(-3), these two forms should be helpful.
5 0
2 months ago
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Write the number described by 1 ten 16 ones.
PIT_PIT [12445]
Calculating the number: 1 group of ten plus 16 units equals 1×10 plus 16×1, which is 10 plus 16, totaling 26.

Hope this clarifies things!
7 0
3 months ago
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If h(x) is the inverse of f(x), what is the value of h(f(x))?
Svet_ta [12734]

h(f(x)) ⇒ x

Detailed breakdown:

In math, an inverse function acts as a "reverse" to another function: if f applied to x yields y, then g applied to y gives back x, meaning f(x) = y if and only if g = x.

In this case, we define h(x) as the inverse of f(x). We need to discover the value of h(f(x)). Let's explore this:

Let the inverse of f(x)  = f^{-1}(x), but as per the question, it corresponds to h(x) or h(x) = f^{-1}(x). Now,

h(f(x))

⇒ h(f(x))

By substituting f(x) into x at h(x), i.e. h(x) = f^{-1}(x)

⇒ f^{-1}(f(x))

The multiplication of f^{-1} and f equals 1,

⇒ x

Thus, h(f(x)) ⇒ x .

5 0
3 months ago
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