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3 years ago

The altitude of an airplane is described by a certain function h, where h(t) is the altitude in

Mathematics

1 answer:

Alexus [3.1K]3 years ago

7 0

Answer:

he airplane’s altitude was 400 feet at 8:00 a.m. is the best describes

the meaning of the statement h(0)=400 ⇒ answer a

Step-by-step explanation:

The altitude of an airplane is described by a certain function h ,

where h(t) is the altitude in feet of the airplane t minutes after

8:00 a.m.

That means:

1. The altitude of the airplane can be calculated by using this function

at any time after 8:00 a.m.

2. At 8.00 a.m. the value of t = 0

3. h(0) is the initial altitude of the airplane

∵ The altitude of the airplane h at any time t after 8:00 a.m. can be

calculated from the function h(t)

∵ At 8:00 a.m. t = 0

∵ h(0) = 400

∴ The altitude of the airplane at t = 0 is 400

∴ The initial altitude of the airplane is 400

The airplane’s altitude was 400 feet at 8:00 a.m

Step-by-step explanation:

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Find the measures of the complementary angles that satisfy each case. One of the angles is 3 times larger than the other.

Nookie1986 [14]

Answer:

22.5° and 67.5°

Step-by-step explanation:

The sum of complementary angles equal 90°.

Given that one of the complementary angles is 3 times larger than the other, let "x" represent the other angle.

Thus, the following expression can be written to represent this case:

$x + 3x = 90$

Solve for x

$4x = 90$

Divide both sides by 4

$\frac{4x}{4} = \frac{90}{4}$

$x = 22.5$

The measure of the complementary angles are:

x = 22.5°

3x = 3(22.5) = 67.5°

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3 years ago

What is the simplified form of the quantity 1 over b minus 1 over a all over the quantity 1 over b plus 1 over a?

jolli1 [7]

Option B: (b-a)/(b+a) is the correct answer

Step-by-step explanation:

The given expression is;

$\frac{\frac{1}{b}-\frac{1}{a}}{\frac{1}{b}+\frac{1}{a}}$

First of all we have to take LCM in both numerator and denominator

So,

$=\frac{\frac{b-a}{ab}}{\frac{b+a}{ab}}$

The reciprocal of the denominator will be multiplied with the numerator for simplification

So,

$=\frac{b-a}{ab} * \frac{ab}{b+a}\\= \frac{b-a}{b+a}$

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Option B: (b-a)/(b+a) is the correct answer

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3 years ago

Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right

UkoKoshka [18]

The length of the line segment SR is 15 units.

<h3>How to find the length of a line segment?</h3>

In Δ SRQ as seen in the attached image, we see that;

∠SRQ is a right angle

SQ is the hypotenuse

RT ⊥ SQ

Thus, by triangular rules, we know that;

(RQ)² = TQ × SQ

RQ = 20 units and TQ = 16 units

Thus;

(20)² = 16 × SQ

400 = 16 × SQ

SQ = 400/16

SQ = 25 units

By using Pythagoras theorem in Δ SRQ, we have;

(SR)² + (RQ)² = (SQ)²

RQ = 20 units and SQ = 25 units

Thus;

(SR)² + (20)² = (25)²

(SR)² + 400 = 625

(SR)² = 225

SR = √225

SR = 15 units

The length of the line segment SR is 15 units.

Read more about Length of Line Segment at; brainly.com/question/2437195

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