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3 years ago

In ΔDEF, the measure of ∠F=90°, FD = 75 feet, and EF = 95 feet. Find the measure of ∠D to the nearest tenth of a degree.

Mathematics

2 answers:

natima [27]3 years ago

6 0

First use Pythagoras theorem to find the length |DE|. Next use the sine rule

Nookie1986 [14]3 years ago

3 0

Answer:

51.7

Step-by-step explanation:

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On a town map, each unit of the coordinate plane represents 1 mile. Three branches of a bank are located at A(−3, 1), B(3, 3), a

Andrei [34K]

Answer:

The minimum total distance the employee may have driven before getting stuck in traffic is 8.3 miles

Step-by-step explanation:

* Lets explain how to solve the problem

- The rule of the distance between to points $(x_{1},y_{1})$

and $(x_{2},y_{2})$ i s $d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

- So at first we will find the distance between the three points

∵ A = (-3 , 1) , B = (3 , 3) , C = (3 , -1)

- By using the rule of distance

∴ $AB=\sqrt{(3--3)^{2}+(3-1)^{2}}=\sqrt{36+4}=\sqrt{40}=6.325$

∴ $BC=\sqrt{(3-3)^{2}+(-1-3)^{2}}=\sqrt{0+16}=4$

∴ $AC=\sqrt{(3--3)^{2}+(-1-1)^{2}}=\sqrt{36+4}=\sqrt{40}=6.325$

∵ Each unit coordinate plane represents 1 mile

∵ AB = 6.3 units

∴ The distance between branches A and B = 6.325 miles

∵ BC = 4 units

∴ The distance between branches B and C = 4 miles

∵ AC = 6.3 units

∴ The distance between branches A and C = 6.325 miles

- A bank employee drives from Branch A to Branch B and then

drives halfway to Branch C before getting stuck in traffic

∵ The distance from branch A to branch B is 6.325 miles

∵ The distance from branch B to branch C is 4 miles

∵ The half way from branch B to branch C = 1/2 × 4 = 2 miles

∴ The distance the employee may have driven before getting

stuck in traffic = 6.325 + 2 = 8.325 miles

∴ The minimum total distance the employee may have driven

before getting stuck in traffic is 8.3 miles

8 0

3 years ago

PLEASE HELP AND EXPLAIN STEP BY STEP.

SIZIF [17.4K]

A. The two listed added up will be 180 degrees.

5x - 57 + 3x + 5 = 180

8x - 52 = 180

8x - 52 + 52 = 180 + 52

8x = 232

x = 29

B. The two listed added up will be 180 degrees.

2x + 4x + 150 = 180

6x + 150 = 180

6x + 150 - 150 = 180 - 150

6x = 30

x= 5

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3 years ago

Find the value of x in the triangle shown below. 6 10

leonid [27]

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2 years ago

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20. The sum of two consecutive odd numbers is 72. Find the numbers.

VladimirAG [237]

Answer:

35 and 37

35+37=72

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2 years ago

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Simplify: [(−13)^8÷ (−13)^5] − [(−13)^5÷ (−13)^3]

algol [13]

Answer:

-2366

Step-by-step explanation:

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3 years ago