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Setler [38]
2 years ago
8

Hi!! Please help me with this question. I got an answer of 63.25 but it was incorrect and need to redo it. Please also explain h

ow you got the answer and why mine was wrong.
Use ΔDEF, shown below, to answer the question that follows:

Triangle DEF where angle E is a right angle. DE measures 55. EF measures x. Angle D measures 49 degrees.

What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.
Mathematics
1 answer:
matrenka [14]2 years ago
4 0

Answer:

x ≈ 63.27

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan49° = \frac{opposite}{adjacent} = \frac{EF}{DE} = \frac{x}{55} ( multiply both sides by 55 )

55 × tan49° = x , then

x ≈ 63.27 ( to the nearest hundredth )

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Chris buys 8 more Ninja Turtles than Star Wars action figures. The Ninja Turtles cost $7 each and the Star Wars cost $9 each. Wr
Natalka [10]

Answer:

Total Cost, C=$(16S +56)

Step-by-step explanation:

Chris buys 8 more Ninja Turtles than Star Wars action figures.

Cost of each Ninja Turtle = $7

Cost of each Star Wars  = $9

Let number of Star Wars bought = S

As per question statement, number of Ninja Turtles bought = S+8

Cost of 'S' number of Star Wars = Number of Star Wars bought \times cost of each Star Wars

Total cost of Star Wars bought = S \times 9 or $9S

Similarly, Cost of 'S+8' number of Ninja Turtles = Number of Ninja Turtles bought \times cost of each Ninja Turtles

Total cost of Ninja Turtles bought = (S+8) \times 7 or $(7S +56)

Total Cost of the purchase = Total cost of Star Wars Bought + Total cost of Ninja Turtles bought

Total Cost of the purchase, C = 9S + (7S +56)

\Rightarrow C=\$(16S +56)

4 0
3 years ago
How many grams does she need to add to the snack mix to make 2 kilograms
Nutka1998 [239]

Answer: 89

Step-by-step explanation:

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6 0
3 years ago
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A square has an area of 289 sq cm. what is the length of one side
Elodia [21]
289 square root = 17
17*17=289
Say 17 was length and 17 was width. L*w=289
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5 0
3 years ago
A triangular bandana has an area of 78 square inches. The height of the triangle is 9
Vera_Pavlovna [14]
Area of a triangle = 1/2 × base × height

Plug in what we know.

78 = 1/2 × b × 9¾

Multilply each side by 2 to get rid of the 1/2...

156 = b × 9¾

Write 9¾ as an improper fraction.
(9¾ = 9 + 3/4 = (9×4)/4 + 3/4 = 36/4 + 3/4 = 39/4)

156 = b × 39/4

Multiply each side by 4...

624 = b × 39

Divide each side by 39...

16 = b

Done! The length of the base of the triangle is <u>16</u> inches.
5 0
3 years ago
Determine whether a triangle with the given side lengths is a right triangle. Side lengths: 10, 11, 15 5, 12, 13 12, 15, 20 16,
tresset_1 [31]

Answer:

Step-by-step explanation: Use the Pythagorean Theorem to check this.

Remember that the squares of the lengths of the two smaller sides should be equal to the square of the bigger side.

10,11,15 = NO

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12,15,20 = NO

16,30,34= YES

Hope this helps.

3 0
3 years ago
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