1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
masya89 [10]
3 years ago
5

Kim’s age is twice that of her sister. When you add Kim’s age to her sisters age you get 42. How ils is each sister Write an equ

ation that represents the situation. Explain any variable used
Mathematics
1 answer:
Rudik [331]3 years ago
8 0

Step-by-step explanation:

Let Kim's sister age be x.

Kim's age 2x

<u>According to the question</u> :

2x + x = 42

X = 14

Kim's age = 28 years

Kim's sister's age = 14 years

You might be interested in
/_A and /_B are complementary angles.<br> Given that m /_A = 23 degrees, find m /_B​
OverLord2011 [107]

Answer:

67

Step-by-step explanation:

When two angles are complimentary, it means that, together, they make a 90 degree angle.

/_A + /_B must equal 90°

6 0
3 years ago
A person whose eye level is 20 feet above the ground is looking at a building. The angle of elevation to the top of the building
Inessa [10]
Distance of the person from the building (x)

tan 24 = 20/x => x = 20/tan 24 = 44.92 ft

The height of the building above the height of the person and the distance of the person from the building forms two legs of right angled triangle.

Therefore, if h is the height of the building, then;
tan 31 = (h-20)/44.92
h-20 = 44.92 tan 31
h = (44.92 tan 31) + 20 = 26.99 + 20 = 46.99 ft
8 0
3 years ago
Given the function y=log3(x+2)-2. List the transformations
slava [35]

Answer:

Exponential transformation.

Step-by-step explanation:

y = log_3 (x + 3) - 2

To transform this into exponential, we have:

Adding 2 to both sides

y + 2 = log_3 (x + 3)

3^(y + 2) = x + 3

x = 3^(y + 2) - 3

4 0
2 years ago
Determine the slope of the line segment<br> A.) 2<br> B.) 5<br> C.) 1/2<br> D.) 5/3
ohaa [14]

up 5

over to the right 3

rise/run

5/3

Choice D

6 0
3 years ago
Amelia launched her science fair rocket, and then backed away. The path of the rocket is given by the equation below, where y is
Mamont248 [21]

Answer:

1)The rocket hit the ground at     x = \frac{5}{4}

2)The maximum height of the rocket = 12.468 feet

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given equation  

                y = -2 x² + 5 x + 7 ...(i)

Differentiating equation (i) with respective to 'x' , we get

             \frac{dy}{dx} = -2( 2x) +5(1) =  -4x +5

Equating zero

            \frac{dy}{dx} = 0

⇒      -4 x +5 =0

⇒      -4 x = -5

⇒          x = \frac{5}{4}

<em> The rocket hit the ground at     </em>x = \frac{5}{4}<em></em>

<u><em>Step(ii):</em></u>-

    \frac{dy}{dx}  =  -4x +5  ...(ii)

Again differentiating equation (ii) with respective to 'x' , we get

 \frac{d^{2} y}{dx^{2} }  = - 4(1)

The maximum height at x = \frac{-5}{4}

  y = -2 x² + 5 x + 7

 y = -2 (\frac{5}{4})^{2}  + 5 (\frac{5}{4} )  + 7

y = \frac{-2(25)+ 25 (16)+7(64)}{64}

y = \frac{798}{64} = 12.468 feet

<em>The maximum height of the rocket = 12.468 feet</em>

       

4 0
3 years ago
Other questions:
  • Dave bought a new game for $28 the tax rate was 7% how much was the tax and total price?
    9·1 answer
  • Part 2 of math help me please
    13·1 answer
  • How do you find the area for this problem
    7·2 answers
  • Natalie runs around the outside of a square park in her city. Each side of the park measures 20 meters. How far did Natalie run
    11·1 answer
  • A bullet is shot straight upward with an initial speed of 925 ft/s. The height of the bullet after t seconds is modeled by the f
    10·1 answer
  • Help me please ??!!!!
    11·2 answers
  • without actually calculating the cubes find the value of each of the following (-28)^3+(12)^3+(16)^3 ​
    9·1 answer
  • Could the table of (x,y) pairs
    11·2 answers
  • Given the midpoint and one endpoint of a line segment, find the other endpoint.
    7·1 answer
  • Rachel, Trey, and Juan sent a total of 85 text messages over their cell phones during the weekend. Rachel sent 10 more messages
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!