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3 years ago

What is the constant rate of 2 mi and 35 minutes

Mathematics

1 answer:

Yuliya22 [10]3 years ago

6 0

Answer:

<h3>0.057 miles per minute</h3>

Step-by-step explanation:

2 miles and 35 minutes

= 2 miles / 35 minutes

= 0.057 miles per minute

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What number needs to be added to both sides of the equation to complete the square? X^2−7x=5 Enter your answers in the boxes.

Andrew [12]

ANSWER

We need to add half the coefficient of $x$ all square.

$\frac{49}{4}$

EXPLANATION

Given the equation,

$x^{2} -7x=5$ .

We compare to the general equation,

$ax^2+bx+c=0$

This means that;

$a=1,b=-7,c=-5$

To complete the square we add, $(\frac{b}{2})^2$

That is $(\frac{-7}{2})^2=\frac{49}{4}$ .

Hence the number to be added to both sides is $\frac{49}{4}$ .

Note that before we complete the square, the coefficient of the term in $x^2$ must always be 1.

7 0

3 years ago

While taking a ride in a hot-air balloon in Napa Valley, Francisco wonders how high he is. To find out, he chooses a landmark th

Delicious77 [7]

Answer:the height of the balloon is 670.244 feet

Step-by-step explanation:

The right angle triangle BLD represents the scenario.

h represents the height of the balloon.

We would apply trigonometric ratio to determine h.

Tan # = opposite side/adjacent side

Looking at triangle LCD,

# = 61 degrees

h = opposite side

x = adjacent side

Tan 61 = h/x

1.7321 = h/x

h = 1.7321x

Looking at triangle LBD,

# = 54 degrees

h = opposite side

x + 100 = adjacent side

Tan 54 = h/x + 100

1.3764 = h/x + 100

h = 1.3764(x + 100)

Therefore,

1.7321x = 1.3764(x + 100)

1.7321x = 1.3764x + 137.64

137.64 = 1.7321x - 1.3764x

137.64 = 0.3557x

x = 137.64/0.3557 = 386.955

h = 1.7321x = 386.955 × 1.7321

h = 670.244 feet

8 0

4 years ago

When a number is increased by 50% of itself, the result is 30. What is that number?

sdas [7]

Step-by-step explanation:

x+50%x=30

150%=30

1.5x=30

x=20

B!!!

8 0

3 years ago

Read 2 more answers

Please solve these questions

balu736 [363]

Step-by-step explanation:

x² + 4x + 3

(x+1)(x+3)

...... .

3 0

4 years ago

Which of the following can be the parent function of the graph? Select two of the following that apply.

maks197457 [2]

Answer:

Options c and d

Step-by-step explanation:

Given is a graph with period pi.

ii) The graph is discontinuous

iii) x intercepts are say (a) units to the right of y axis and repeats for every interval of pi.

Fix the function

a) y = sinx cannot be this graph because sinx is a continuous graph

b) y =cosx cannot be this graph because cosx is a continuous graph

e) y = sec x is undefined for the range (-1,1) since the given graph is defined in this interval, secx is not answer.

f)y = csc x is undefined for the range (-1,1) since the given graph is defined in this interval, cscx is not answer.

c) y=tanx is a discontinuous graph at x = odd multiples of pi/2

Hence the given graph can be of the form y =- tan (2x+a) which shows reflection over y axis,

d) y = cotx can also be this graph with adjustments for period and horizontal shift.

So answers are c and d

3 0

3 years ago

What is the constant rate of 2 mi and 35 minutes​

What is the constant rate of 2 mi and 35 minutes