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3 years ago

In ΔEFG, f = 86 inches, e = 64 inches and ∠E=32°. Find all possible values of ∠F, to the nearest degree.

Mathematics

1 answer:

Neporo4naja [7]3 years ago

7 0

Answer:

Answer: 45 ∘ and 135 ∘

Step-by-step explanation:

Delta Math

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An office supply store sells 8 pens for $4.00. If this relationship is graphed with the number of pens on the x-axis and the cos

Alex17521 [72]

Answer:

Step-by-step explanation:

3 0

3 years ago

If a = 0.6 repeating and b = 0.75, then a x b = blank and a/b = blank

atroni [7]

Answer:

a*b = 1/2

a/ b = 8/9

Step-by-step explanation:

a = 0.66666 and b = 0.75

To multiply it we write the decimal numbers in fraction form

a= 0.666666...

Multiply by 10 on both sides

10 a = 6.66666...

a = 0.66666...

Subtract the second equation

9a = 6

divide by 9 on both sides

$a=\frac{6}{9}=\frac{2}{3}$

so 0.6666 = 2/3

Now we convert 0.75 into fraction form

$0.75=\frac{0.75}{1}$

Multiply top and bottom by 100 to remove decimal

$\frac{75}{100} = \frac{3}{4}$

so 0.75 is 3/4

a= 2/3 and b = 3/4

$a*b = \frac{2}{3} * \frac{3}{4} = \frac{6}{12} = \frac{1}{2}$

$\frac{a}{b} = \frac{\frac{2}{3}}{\frac{3}{4}} = \frac{2}{3} * \frac{4}{3} =\frac{8}{9}$

8 0

3 years ago

Solve the system:<br> y = 3x<br> -x + 2y=5<br><br> (_,_)

kakasveta [241]

Answer:

(5, 15)

Step-by-step explanation:

-x + 6x = 5

5x = 5

x = 5

y = 3 (5)

y = 15

You can substitute 6x for 2y because it says y = 3x. So 2y is gonna be 6x because you have to multiply it by 2 since it's 2y not just y.

8 0

2 years ago

A ship leaves port at noon and has a bearing of S29oW. The ship sails at 20 knots. How many nautical miles south and how many na

ira [324]

Answer:

Approximately $58.2\; \text{nautical miles}$ (assuming that the bearing is ${\rm S$29^{\circ}$W}$ .)

Step-by-step explanation:

Let $v$ denote the speed of the ship, and let $t$ denote the duration of the trip. The magnitude of the displacement of this ship would be $v\, t$ .

Refer to the diagram attached. The direction ${\rm S$29^{\circ}$W}$ means $29^{\circ}$ west of south. Thus, start with the south direction and turn towards west (clockwise) by $29^{\circ}$ to find the direction of the displacement of the ship.

The hypothenuse of the right triangle in this diagram represents the displacement of the ship, with a length of $v\, t$ . The dashed horizontal line segment represents the distance that the ship has travelled to the west (which this question is asking for.) The angle opposite to that line segment is exactly $29^{\circ}$ .

Since the hypotenuse is of length $v\, t$ , the dashed line segment opposite to the $\theta = 29^{\circ}$ vertex would have a length of:

$\begin{aligned}& \text{opposite (to $\theta$)} \\ =\; & \text{hypotenuse} \times \frac{\text{opposite (to $\theta$)}}{\text{hypotenuse}} \\ =\; & \text{hypotenuse} \times \sin (\theta) \\ =\; & v\, t \, \sin(\theta) \\ =\; & v\, t\, \sin(29^{\circ})\end{aligned}$ .

Substitute in $\begin{aligned} v &= 20\; \frac{\text{nautical mile}}{\text{hour}}\end{aligned}$ and $t = 6\; \text{hour}$ :

$\begin{aligned} & v\, t\, \sin(29^{\circ}) \\ =\; & 20\; \frac{\text{nautical mile}}{\text{hour}} \times 6\; \text{hour} \times \sin(29^{\circ}) \\ \approx\; & 58.2\; \text{nautical mile}\end{aligned}$ .

7 0

2 years ago

Solve for X: 5x + 15 = 28

rjkz [21]

-15 both sides and then it’s will be
5x = 13 then u divide both sides over 5 and the answer will be ( X=2.6 )

4 0

2 years ago