What is 49/50 equivalent to as a decimal and as a percent

Answer:

1: b. YZ, see "geometric mean theorem" in Wikipedia

2: a. sin Y = 7.4/10.9 ≈ 0.68,  sine = opposite/hypotenuse

3: c. tan P = 8.5/16 ≈ 0.53, tangent=opposite/adjacent

4: a. AC = 11.7, sine = opposite/hypotenuse, sin(43) = 8/AC

5. KM = 10.68 use Pythagorean Theorem

measure of angle M = 35 degrees, use definition of tangent

measure of angle K = 55 degrees,  M and K are complementary angle

Step-by-step explanation:

i hope this help

The term that completes the equation is YZ.

Option D is the correct answer.

We have,

From the figure,

∆WXY and ∆XYZ

∠WXY = ∠XZY = 90

∠ZYX = ∠XYW (common angle)

∆WXY ≅ ∆XYZ

And,

∆WXY and ∆WXZ

∠WXY = ∠WZX = 90

∠YWX = ∠XWZ (common angle)

∆WXY ≅ ∆WXZ

Now,

From (1) and (2),

∆XYZ ≅ ∆WXZ

This means,

The corresponding sides are proportional.

We can write as,

YZ/XZ = XZ/ZW

XZ² = WZ x YZ

Thus,

The term that completes the equation is YZ.

Learn more about triangle congruency here:

https://brainly.com/question/12413243

#SPJ2

Answer:

Step-by-step explanation:

Arcs in the circle sum to 360°

Answer:

an integer between –11 and –10

a whole number between 1 and 2

a terminating decimal between –3.14 and –3.15

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Answer:

30 + 70 + 2x-10=180

90+2x=180

2x=180-90

x=90/2

x=45

X=45

Hope it helps

Answer:

option 2

angles B and D are the alternate interior angles

lines DE and AB being parallel lines and and line BC being the transversal

Answer:

The answer is B and D

Step-by-step explanation:

Confirmed

Answer: look at the picture if you want me to solve for s or a here

Step-by-step explanation: hope this help

Answer:

In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).

Answer:

Step-by-step explanation:

LHS = (Cos9° + Sin9°) / (Cos9° - Sin9°)  

Divide by Numerator  and Denominator   by  Cos9°  

LHS = (1 + Tan9°) / (1 - Tan9°)

       = (Tan 45° + Tan 9°) / (1 - Tan 45° * Tan 9°)  

       = Tan (45°+9°)  

       = Tan 54°

       = Cot 36°

hope it helps :)

Answer:

2/35

Step-by-step explanation:

total of 15 books

P(Adv,Hist) = 3/15 · 4/14  =  1/5 · 2/7  =  2/35

Answer:

The distance between the two boats after 2.5 hours is 57 m.

Step-by-step explanation:

The distance covered by each boat after 2.5 hours are:

speed = [tex]\frac{distance}{time}[/tex]

distance = speed x time

For boat A, speed = 14 km/h and time = 2.5 hrs.

So that,

distance = 14 x 2.5

              = 35 km

For boat B, speed = 18 km/h and time = 2.5 hrs.

So that,

distance = 18 x 2.5

              = 45 km

The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:

[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex] - 2bc Cos A

[tex]x^{2}[/tex] = [tex]45^{2}[/tex] + [tex]35^{2}[/tex] - 2(45 x 35) Cos [tex]90^{o}[/tex]

   = 2025 + 1225 - 3150 (0)

   = 3250

x = [tex]\sqrt{3250}[/tex]

  = 57.0088

x = 57.0 m

The distance between the two boats after 2.5 hours is 57 m.

Answer:

y - 8 = (-1/27)(x + 3)

Step-by-step explanation:

the slope of a line perpendicular to the given y = 27x + 117 is the negative reciprocal of 27, that is, -1/27.  Using the point-slope form  y - k =m(x - h)  to write the new equation, we get:

y - 8 = (-1/27)(x + 3)

Answer:

2

Step-by-step explanation:

from (0,1) to (1,3)

is up 2 over 1

2/1=2

hope this helps!

Answer: 19.2 cm

Step-by-step explanation:

A meter is equal to 100 centimetres so the total length of Tia's wire in centimetres is:

= 4.08 * 100

= 408 cm

She cuts this into 10 equal pieces:

= 408 / 10

= 40.8 cm

Martha cuts her 540 cm wire into 9 pieces. Each piece is:

= 540 / 9

= 60 cm each

The difference is:

= 60 - 40.8

= 19.2 cm

Answer:

Y intercept : ( 0 , 25 )

Step-by-step explanation:

Answer:

Step-by-step explanation:

We need to convert function to slope-intrcept form y=mx+b, where:

-0.4x + 0.05y - 1.25 = 0         {multiply both sides by 20}

-8x + y - 25 = 0                    {add (8x+25) to both sides}

y = 8x + 25     ⇒   b = 25

Therefore y-intercept of the line is (0, 25)

Answer:

x=-1

Step-by-step explanation:

thanks I'm done pls

Answer: 1,-4

Step-by-step explanation: I noticed there are no steps for this one so I will go ahead and put them.

-4x+x=x-5+-x

combine:

-5x/5=-5/-5

x=1

Substitute:

y=-4x(1)

y=-4

so we get 1,-4

Answer:

[tex]x = \frac{ - 63}{2} \: or \: - 31.5[/tex]

Step-by-step explanation:

[tex] \frac{x}{7} - \frac{x}{9} = - 1[/tex]

Lets take the L.C.M of 7 & 9.

L.C.M of 7 & 9 = 63

[tex] = > \frac{9x - 7x}{63} = - 1[/tex]

[tex] = > \frac{2x}{ 63} = - 1[/tex]

Now lets multiply 63 on both the sides.

[tex] = > \frac{2x}{ 63} \times 63 = (- 1) \times 63[/tex]

[tex] = > 2x = - 63[/tex]

Now lets divide both the sides by 2.

[tex] = > \frac{2x}{2} = \frac{ - 63}{2} [/tex]

[tex] = > x = \frac{ - 63}{2} = - 31.5[/tex]

Answer:

Volume is 285

Step-by-step explanation:

We start by calculating the area of the base

Mathematically, we have a rectangle as the base

So, the area of the base will be;

3.75 * 8 = 30

We now multiply this by the height to get the volume

we have this as:

30 * 9.5 = 285

5/7 = 35 kg

1/7 = 7 kg

Peter weighs 49 kg

49 - 8 = 41 kg

Ailen weighs 41 kg

49 + 41 = 90kg

Their total weight is 90 kg

Answer: b = 3

Step-by-step explanation:

1. a^2 + b^2 = c^2

2. 1.6^2 + b^2 = 3.4^2

3. 2.56 + b^2 = 11.56

4. 11.56-2.56 = b^2

5. 9 = b^2

6. 3 = b

Answer:

254 in

Step-by-step explanation:

1 yard = 36 in

7 yards = 36 (7)

7 yards = 252

add 2

254 in

:)

Answer: 254 inches

Step-by-step explanation:

1 yard= 36 inches x 7 (yards) + 2 inches= 254 inches

Answer:

314,880

Step-by-step explanation:

If the population decreases by 1.6% per year, this means the population is 98.4% of the population of the previous year. What this means is we can multiply the current population, 320,000, by 98.4/100, as 98.4/100 is equivalent to 98.4%. This gets us 314,880.

Answer:

314880

Step-by-step explanation:

Answer:

a=26.039, b=58.021, c=42, A=24 degrees, B=115 degrees, C=41 degrees

Step-by-step explanation:

trig

Answer:

Step-by-step explanation:

Answer:

x = 20°

Step-by-step explanation:

3x - 10° + 5x + 30° = 180° { being co-interior angles }

8x + 20 ° = 180°

8x = 180° - 20°

8x = 160°

x = 160° / 8

x = 20°

Answer:

1/2

Step-by-step explanation:

12 out of 24 is 1/2

Hey there!

The answer to your question is [tex]95.55[/tex]

Formulas:

Area of semi-circle = [tex]\frac{1}{2}(\pi r^2)[/tex]

Area of rectangle = [tex]lw[/tex]

Area of triangle = [tex]\frac{bh}{2}[/tex]

Now solve:

semi-circle

[tex]\frac{1}{2}\pi3^2[/tex]

[tex]\frac{1}{2}\pi9[/tex]

[tex]4.5\pi[/tex]

(We will use 3.14 as approx. for pi)

[tex]4.5 * 3.14\\23.55[/tex]

rectangle

[tex]10(6)\\60[/tex]

triangle

[tex]\frac{4(6)}{2}[/tex]

[tex]\frac{24}{2} \\12[/tex]

Now add them all together:

[tex]23.55+60+12\\95.55[/tex]

Have a terrificly amazing day!

Answer:

25% of 3030 is 757.5, so basically she is saving 757.5 dollars

Answer:

+3,+4,+5,+6,-20

Step-by-step explanation:

its:

2+3=5

5+4=9

9+5=14

14+6=20

20- 20=0

i believe so