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Sliva [168]
2 years ago
13

Help please tell me what the answer is ASAP

Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
7 0

Answer:

The approximated length of EF is 2.2 units ⇒ A

Step-by-step explanation:

<em>The tangent ratio in the right triangle is the ratio between the opposite side to the adjacent side of one of the acute angle in the triangle</em>

In the given figure

∵ The triangle DFE has a right angle F

∵ The opposite side to angle D is EF

∵ The adjacent side to angle D is DF

→ By using the tangent ratio above

∴ tan(∠D) = \frac{EF}{DF}

∵ DF = 6 units

∵ m∠D = 20°

→ Substitute then in the ratio above

∴ tan(20°) = \frac{EF}{6}

→ Multiply both sides by 6

∴ 6 tan(20°) = EF

∴ 2.183821406 = EF

→ Approximate it to the nearest tenth

∴ 2.2 = EF

∴ The approximated length of EF is 2.2 units

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Jason has 5 shirts for every 2 pairs of pants. His brother John has 7 shirts for every 3 pairs of pants. Compare the ratio by co
postnew [5]

Answer:

john has a greater ratio of shirts to pants

Step-by-step explanation:

jason- 5:2

table:

shirt :5 10 15 20 25 30 35 40 45

pants:2 4   6   8   10 12  14 16 18 20

john-7:3

table:

shirts:7 14 21 28 35 42 49 56 63

pants:3  6 9 1 2  15  18  21 24  27

4 0
2 years ago
Given the polynomial 21x 4 + 3y - 6x 2 + 34 What polynomial must be subtracted from it to obtain 29x 2 - 7 ? What polynomial mus
fredd [130]

Answer:

1. 21x⁴+3y-35x² + 41

2. -21x⁴-3y+6x² + x

Step-by-step explanation:

When adding and subtracting polynomials , you can use the distributive property to add or subtract the coefficients of like terms.

1. The polynomial is 21x⁴ + 3y -6x² + 34

To obtain polynomial 29x² -7 , we must subtract some polynomial from it.

Let that polynomial be k.

So, 21x⁴ + 3y -6x² + 34 - k =  29x² -7

k = 21x⁴ + 3y - 6x² +34 - 29x² +7 = 21x⁴ + 3y - 35x² + 41

2. To obtain a first degree polynomial, let that polynomial be x +34

So, 21x⁴ + 3y - 6x² + 34 + K = x + 34

K = x + 34 - 21x⁴ -3y + 6x² - 34

  = -21x⁴ - 3y + 6x² + x

6 0
3 years ago
Chris bought 12.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closetsto the number
Damm [24]

Answer:

C 47.12 L

Step-by-step explanation:

1 gallon = 3.8 liters

12.4 gallons = x

Cross Multiply

= 12.4 × 3.8

47.12 liters

Option C is correct

5 0
2 years ago
What conclusions can be drawn about finding the quotient in scientific notation? Check all that apply. Start Fraction (9.6 times
bija089 [108]

Answer:

B.The exponent of the solution is –12, the difference of the original exponents.

C.The coefficient of the solution must be greater than or equal to one but less than 10.

D.The quotient is 3.0 × 10^{-12}

Step-by-step explanation:

We are finding the quotient of the expression below in scientific notation

\dfrac{9.6X10^{-8}}{3.2X10^4} \\=\dfrac{9.6}{3.2}X10^{-8-4}\\ =3 X 10^{-12}

The following conclusions can be drawn

B.The power of 10 in the solution is –12, the difference of the original exponents.

C.The coefficient is 3, which is greater than or equal to one but less than 10.

D.The quotient is 3.0 × 10^{-12}

7 0
3 years ago
Read 2 more answers
BRAINLIEST + 7 POINTS TO FIRST CORRECT ANSWER
timama [110]

Answer:

it has 11 faces 10 sides for the decagon + 1 for the base

It does have one face that is a decagon, which is the base, the rest are triangles

it has 20 edges

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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