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iVinArrow [24]
3 years ago
15

What is 0.99755 + 1.22 + 3.0005 + 0.0012

Mathematics
1 answer:
UNO [17]3 years ago
4 0
The answer to your question is 5.21925

0.99755+1.22=2.21755
2.21755+3.0005=5.21805
5.21805+0.0012=5.21925

Hope this helps! :)
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D is the midpoint of AC. If AD = 2x + 6 and DC = 4x-7, what is the length of DC?
DENIUS [597]
A----------D----------C

AD = 2x + 6
DC = 4x - 7

the midpoint D splits AC into 2 equal parts....therefore, AD = DC

2x + 6 = 4x - 7
2x - 4x = -7 - 6
-2x = - 13
x = -13/-2
x = 6.5 

DC = 4x - 7......4(6.5) - 7 = 19 <===
AD = 2x + 6.....2(6.5) + 6 = 19
4 0
3 years ago
Emily is observing the velocity of a cyclist at different times. After four hours, the velocity of the cyclist is 14 km/h. After
lina2011 [118]
Assume that Emily starts from rest so that the velocity is zero at 0 hours.

Define the function v(t) for velocity in km/h, and t in hours.

Part A
From t=0 to t=4, v changes from 0 to 14.
Let v(t) = mt + b
The slope is
  m = 14/4 = 3.5, and the y-intercept is
  b = 0.
Therefore
v(t) = 3.5t,  for 0 ≤ t ≤ 4

Fromt=4 to t=9,  changes from 14 to 4.
Let v(t) = mt + b
The slope is
  m = (4 - 14)/(9 - 4) = -2
Therefore
  v = -2t + b
When t=4, v=14, therefore
 14 = -2*4 + b = -8 + b
 22 = b
v(t) = -2t + 22, for 4 < t ≤ 9.

Answer:
The equation for the velocity is
v(t) = 3.5t,  0 ≤ t ≤ 4
      = -2t + 22,  4 < t ≤ 9

Part B
The equation for velocity is a piecewise function that is graphed as shown below. If we assume that the second part of the equation is valid at t=10, then
v(10) = -2*10 + 22 = 2 km/h

3 0
3 years ago
Simplify v20<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B20%7D%20" id="TexFormula1" title=" \sqrt{20} " alt=" \sqrt{20} "
torisob [31]
Hey there

the answer is .........

8 0
4 years ago
alex walked 1 mile in 15 minutes. Sally walked 3520 yards in 24 minutes . in miles per hour , how much faster did sally walk tha
Leni [432]

Answer: Sally walked 3 minutes faster per mile

Hope it helped!

7 0
3 years ago
The arch of a bridge forms the upper half of an ellipse. The arch is 6 meters above the 20-meter-wide river. Write an equation f
aksik [14]

Answer:

\frac{x^2}{36} + \frac{y^2}{100} = 1

Step-by-step explanation:

Required

The equation of the ellipse

This is calculated as:

\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

Where:

b =6 ---- height

a = 0.5 * 20 =10 --- width

So:

\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

\frac{x^2}{6^2} + \frac{y^2}{10^2} = 1

\frac{x^2}{36} + \frac{y^2}{100} = 1

3 0
3 years ago
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