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2 years ago

Height difference between 147m and 21m

Mathematics

1 answer:

pishuonlain [190]2 years ago

7 0

[147m] pluse [21m]is equal to 168 meters

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What is the length of line segment EF if DE is 6ft and DF is 11ft and angle FDE is 40 degrees

Anna [14]

Answer:

The length of EF = 7.48 feet

Step-by-step explanation:

* Lets consider these tree segment formed triangle DEF

- We have the length of two sides and the measure of the

including angle between these two sides

* So we can use the cos Rule to find the length of the third side

- The cos rule ⇒ a² = b² + c² - 2bc cosA

# a is the side opposite to angle A

# b is the side opposite to angle B

# c is the side opposite to angle C

# Angle A is the including angle between b and c

* In the problem

∵ DE = 6 feet

∵ DF = 11 feet

∵ m∠FDE = 40° ⇒ including angle between DE and DF

and opposite to EF

- By using cos Rule

∴ (EF)² = (DE)² + (DF)² - 2(DE)(DF) cos∠FDE

∴ (EF)² = (6)² + (11)² - 2(6)(11) cos(40)

∴ (EF)² = 55.882133 ⇒ take square root for both sides

∴ EF = 7.47543 ≅ 7.48 feet

* The length of EF = 7.48 feet

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2 years ago

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2 years ago

In circle C, SQ = 10 cm.

ale4655 [162]

Answer:

1-Arc PQ is congruent to arc SR.

2-The measure of arc QR is 150°.

4-Arc PS measures about 13.1 cm.

5-Arc QS measures about 15.7 cm

Step-by-step explanation:

1,2,4,5

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2 years ago

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Answer:

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Step-by-step explanation:

The equation of the line in point slope form is

$y-y1=m(x-x1)$

we have

$y-1=(1/4)(x-12)$

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step 2

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The equation of the line in standard form is

$Ax+By=C$

where

A is positive integer

B and C are integers

we have

$y-1=(1/4)(x-12)$

Multiply by 4 both sides to remove the fraction

$4y-4=(x-12)$

$x-4y=12-4\\x-4y=8$

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A video game arcade offers a yearly membership with reduced rates for game play. A single membership costs $60 per year. Game to

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