The parade had 127 floats. Thatis 34 fewer floats than last year. How many floats were in the parade last year?

Given: WZ perpendicular to WY, WZ bisects VY, and m angle V = 40.

vaieri [72.5K]

D. 50. Since WZ is perpendicular, it has a right angle plus the 40 degrees given at V equals 130. Add 50 to get 180.

8 0

3 years ago

There are two non congruent triangles where B=55 degrees a=15 and b=13. Find the measures of the angles of the triangle with the

liq [111]

Answer:

The side c needs to be 12.85 for the triangle to have greatest perimeter

Step-by-step explanation:

We are given;

b = 13

a = 15

Angle at b: B = 55°

Let's find side c.

Using the law of cosines,we have;

b² = a² + c² - 2ac•cos(B)

13² = 15² + c² - 2•15•c•cos(55)

169 = 225 + c² - 30c•cos(55)

c² - 30c•cos(55) + 225 - 169 = 0

c² - 30c•cos(55) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 17.208c + 56 = 0

Using quadratic formula;

c = [-(-17.208) ± √((-17.208)² - (4•1•56)]/2(1)

c = [17.208 ± √(296.115 - 224)]/2

c = 8.604 ± 4.246

To have the greater perimeter, we need the larger value of c, thus we will use the positive sign and ignore the negative one ;

Thus,

c = 8.604 + 4.246 = 12.85

5 0

3 years ago

Place decimal points in 431 and 205 so that the difference of the two numbers is 16.19

Gnoma [55]

Answer:

Step-by-step explanation:

Note that 20 (an approximation for 205) less 4 (an approx. for 431) comes out to 16.

This tells us that the proper placement of the decimals is

20.50

- 4.31

----------

and this comes out to 16.19.

7 0

3 years ago

2. 2x+6y=6<br> -x-3y = -3<br> Solution(s):<br> PLEASE HELP SOLVE FOR X AND Y

allochka39001 [22]

Answer:

x = 0, y = 1

Step-by-step explanation:

2x + 6y = 6 → (1)

x - 3y = - 3 ( add 3y to both sides )

x = 3y - 3 → (2)

substitute x = 3y - 3 into (1)

2(3y - 3) + 6y = 6 ← distribute parenthesis and simplify left side

6y - 6 + 6y = 6

12y - 6 = 6 ( add 6 to both sides )

12y = 12 ( divide both sides by 12 )

y = 1

substitute y = 1 into (2)

x = 3(1) - 3 = 3 - 3 = 0

solution is x = 0 , y = 1

3 0

2 years ago

in 1970, a record 1.5 inches of rain fell in Basse Terre, Guadeloupe in the Caribbean. At this rate, how much rain fell in 3 sec

arsen [322]

In 1970, a record 1.5 inches of rain fell in one minute at Brasse Terre, Guadalupe in the Caribbean. At this rate how much rain fell in 3 seconds or 0.05 of a minute? A 3 inches... B 0.075 inch... C 0.75 inch... D 30 inch. Pick one. Evan chose D as the correct answer. How did he get that answer?

Answer:

$0.075 inches$

Option B is correct.

Step-by-step explanation:

Given.

The rain fall rate is 1.5 inches per minute.

How much rain fall in 3 second or 0.05 of minute?

First we find rain fall rate in one second.

$1.5 inch/min=\frac{1.5}{60} inch/second\\=0.025 inch/second$

So, 0.025 inches of rain fall in one second.

Therefore, the rain fall in 3 second is

$= 3\times 0.025\\=0.075 inches$

The rain fall in 3 second is 0.075 inches.

If you chose option D is correct

If the rain fall is continue to 20 min at the rate of 1.5 inches per min, then the rain fall will be 30 inches.

The rain fall in 3 second is 0.075 inches.

3 0

3 years ago