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3 years ago

Please help!!!!!!!!!!!!!!

Mathematics

1 answer:

Aloiza [94]3 years ago

7 0

Answer:

11.4 feet

Step-by-step explanation:

Using the right triangle formed by the tent pole, the ground and the guy rope, where the guy rope (g) is the hypotenuse.

Applying Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

g² = 9² + 7² = 81 + 49 = 130 ( take the square root of both sides )

g = $\sqrt{130}$ ≈ 11.4 feet

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Rudik [331]

|7x-7|+3 = 4x+1 ⇒⇒⇒ add (-3) to both sides

∴ |7x-7| = 4x - 2

According to the absolute rule
∴ 7x - 7 = 4x - 2 OR -(7x - 7) = 4x - 2
7x - 4x = 7 - 2 l 7x - 7 = -4x + 2
 3x = 5 l 7x + 4x = 2 + 7
x = 5/3 l 11 x = 9 ⇒⇒⇒ x = 9/11

∴ x = 5/3 and 9/11

So, the correct answer is option B. 5/3 and 9/11

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3 years ago

Identify the variation as direct, inverse, joint or combined.

Inessa [10]

a. direct variation
A relationship between two variables in which one is a constant multiple of the other.

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3 years ago

Read 2 more answers

Write the integer represented by H. List its opposite and absolute value.

musickatia [10]

Answer:

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Its opposite is 2 and the absolute value is also 2

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2 years ago

The Cobb family of Fremont is looking at ways to decrease their home water and energy usage. Their current electric hot-water he

OverLord2011 [107]

Answer:

ai) 73000 gal/yr

aii) $730 per year

b) 1000 days

Step-by-step explanation:

ai) The water usage per day is ...

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Then the usage per year is ...

(200 gal/day)(365 days/yr) = 73,000 gal/yr

aii) The cost of electricity is the cost of heating half the water usage, so is ...

(0.20 kWh/gal)(1/2)(73,000 gal/yr)($0.10/kWh) = $730/yr

b) The current daily cost of electricity for heating water is ...

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If the cost is cut in half, it will be $1 per day. That means the savings is $1 per day, so it will take 1000 days to recover the $1000 initial cost. (Effectively, the average cost for the first 1000 days is the same as if the water heater had not been replaced.)

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3 years ago

Integrate the following. ∫<img src="https://tex.z-dn.net/?f=84dx" id="TexFormula1" title="84dx" alt="84dx" align="absmiddle" cla

bogdanovich [222]

Answer:

$\displaystyle \int {84} \, dx = 84x + C$

General Formulas and Concepts:

Calculus

Integration

Integrals
Definite/Indefinite Integrals
Integration Constant C

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \int {84} \, dx$

Step 2: Integrate

[Integral] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle \int {84} \, dx = 84\int {} \, dx$
[Integral] Reverse Power Rule: $\displaystyle \int {84} \, dx = 84x + C$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integrations

4 0

2 years ago