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Allisa [31]
2 years ago
14

Sara wants to find the input value that produces the same output for the functions represented by the tables.

Mathematics
1 answer:
Anna11 [10]2 years ago
8 0
1. -1 is the input value that produces the same output value in both charts.
2. Step 3 has an incorrect instruction.
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liraira [26]
I think it would be 120
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Emerson earns money from walking dogs and answering surveys. He earns $5 a week for each dog he walks and $0.10 for each survey
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Part A: X=(35-(100*0.10))/5  35= 5X+(100*0.10)
Where X is the number of dogs he walked.

Part B: To solve the equation just simplify it by using inverse operations. It should give you 5 dogs walked. The algebraic property justifying this is inverse operations.

Part C: Emerson walked 5 dogs last week.

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If ABC = DEC,<br> B= 44º and E= 4x<br> x= [?]
kolezko [41]

Value of x is 11

Step-by-step explanation:

  • Step 1: Find x when ΔABC ≅ ΔDEC.

When these two triangles are congruent, their corresponding angles and sides will be equal.

⇒ ∠B = ∠E

⇒ 44° = 4x

∴ x = 44/4 = 11

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What is the LCD of 3/10 and -4/15??
Mazyrski [523]
The LCD is 30.  The fractions would be 9/30 and -8/30
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What is the length of EF in the triangle? Show your work. HELP!
Zinaida [17]

The length of EF in the given triangle is 8.80 m.

Step-by-step explanation:

Step 1:

In the given triangle, the opposite side's length is 16.2 m, the adjacent side's length is x m while the triangle's hypotenuse measures 16.2 m units.

The angle given is 90°, this makes the triangle a right-angled triangle.

So first we calculate the angle of E and use that to find x.

Step 2:

As we have the values of the length of the opposite side and the hypotenuse, we can calculate the sine of the angle to determine the value of the angle of E.

sinE = \frac{oppositeside}{hypotenuse}  =\frac{13.6}{16.2} = 0.8395.

E = sin^{-1} (0.8395), E = 57.087.

So the angle E of the triangle DEF is 57.087°.

Step 3:

As we have the values of the angle and the hypotenuse, we can calculate the cos of the angle to determine x.

cos E = \frac{adjacentside}{hypotenuse} = \frac{x}{16.2} .

cos(57.087) = 0.5433, x = 16.2 (0.5433) = 8.8014.

Rounding this off to the nearest hundredth, we get x = 8.80 m.

8 0
3 years ago
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