Angel B measures 60. What is the measure of the angle that is complementary to angle B

Answers

Answer 1
Answer: Complementary angles are two angles whose sum is 90°.

Angle B is 60°, then its complementary angle should only be 30°.
 
60° + 30° = 90°

If the other angle is lower or higher than 30°, then both angles are not complementary.

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Use the domain and range of each of the following relations to determine which is a function. A.) {(3, -3), (9, -6), (0, -9)}
B.) {(3, -3), (9, -6), (3, -9)}
C.) {(3, -3), (9, -6), (9, 2), (0, -9)}
D.) {3,9,0,-4}

Answers

Answer:

The function is expressed by answer A

Step-by-step explanation:

A function is a mathematical expression in which, for an independent variable , usually called x, we obtain one and only one value after applying the function, usually known as the dependent variable y.

D is not a function as we do not have two corresponding values or coordinate pairs. We only have a list of numbers

In C, B and A we have pairs of coordinate values expressed as (x,y) the independent and dependent variable.

In expression B, we see that the for the value of x=3 in ponts 1 (3.-3) and (3.-9) , the value 3 has two resulting values of y , -3 and -9, so this coordinates do not represent a function.

In option C, occurs something similar in this case with x =9. x=9 has two values in y : y=-6 and y= 2 so these points do not define a function

In A each x value (3.9.0) has a unique avlue of y (-3,-6,-9) so this is a function.

the answer js A. the first one

Based on the diagram, which statement is accurate?A) m∠GDE = m∠FDE
B) m∠GDE < m∠FDE
C) m∠DEG < m∠DEF
D) m∠DFE > m∠DGE

Answers

Answer:

Answer choice C.

Step-by-step explanation:

50 kg of grade a coffee beans is mixed with 100 kg of grade b coffee beans. what will be weight in kg of grade b coffee beans in 60 kg of mixture?

Answers

50kg -  coffee A
100kg - coffee B

(coffee A)/ (coffee B) = 50kg/100kg = 1/2

1 + 2 = 3  Entire parts  
1/3 = coffee A
2/3 = coffee B

60kg * 2/3 = (120kg) : 3 = 40kg coffee B


PLEASE HELP!!!! 1. The stem-and-leaf plot shows weights of dogs, in pounds, in a dog competition.

How many of the dogs weigh at least 50 lb?

Answers

1 Dog weighs 50lbs because in the stem and leaf plot it says there is a 50lbs dog and a 55lbs dog.

Solve the following system using the substitution method.9x + 8y = 15
-5x + 12y = -107

(x, y) = ( , )

Answers

x = (15 - 8y)/9

-5[(15 - 8y)/9] + 12y = -107

(-75/9) + (40/9) + 12y = -107

y = -8.59

x = [15 - 8(-8.59)]/9

x = 9.3
(x,y) = (9.3, -8.59)

A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y = -0.06x^2 + 10.1x + 5, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. How far horizontally from its starting point will the rocket land?

Answers

Answer:

The horizontal distance from the starting point when rocket lands is:

168.83 meters.

Step-by-step explanation:

We are given a function that models the height of the rocket when it is 'x' meters away from the starting point.

The function is:

y=-0.06x^2+10.1x+5

Now we are asked to find the horizontal distance from the starting point when the rocket will land.

i.e. we are asked to find 'x' ; when y=0

i.e.

Let y=0

-0.06x^2+1.01x+5=0\n\ni.e.\n\n6x^2-1010x-500=0

on solving the quadratic equation we obtain:

x=-0.49360\ and\ x=(125)/(6)=168.83

As the distance can't be negative.

Hence, the viable solution is:

x=168.83

Hello,

y=-0.06x²+10.1x+5
==>6x²-1010x-500=0
Δ=1010²+4*6*500=1032100=(1015,92...)²
x=(1010-1015.92...)/12 <0 exclude
or x=(1010+1015.92..)/12=168.826935... (m)