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Evgen [1.6K]
3 years ago
12

In a survey, each of 500 people was found to have a checking account, a savings account, or both. If 300 of these people have ch

ecking accounts and 300 have savings accounts, how many people have both a checking account and a savings account?
Mathematics
1 answer:
alukav5142 [94]3 years ago
6 0

Answer:

100

Step-by-step explanation:

300 + 300 = 600

600 - 500 = 100

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The point P(21,35) is on the terminal side of an angle in standard position. What is the distance from P to the origin?
Ira Lisetskai [31]

Answer:

The distance from P to origin is approximately 40.82 units.                                  

Step-by-step explanation:

We are given the following in the data:

The point P(21,35)

We have to find the distance of point P from the origin.

Coordinates of origin: (0,0)

Distance formula:

(x_1,y_1),(x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}

Putting the values, we get,

(21,35), (0,0)\\\\d = \sqrt{(0-21)^2 + (0-35)^2} = \sqrt{1666} = 7\sqrt{34} \approx 40.82\text{ units}

The distance from P to origin is approximately 40.82 units.

7 0
3 years ago
Solve the right triangle. Will give points!
Anna [14]

Answer:

  • EF = 4.1
  • DE = 9.1
  • m∠F = 66°

Step-by-step explanation:

The hypotenuse and one acute angle are given. The relevant relations are ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

__

For the given triangle, these tell us ...

  sin(24°) = EF/DF = EF/10

  EF = 10·sin(24°) ≈ 4.1

and ...

  cos(24°) = DE/DF = DE/10

  DE = 10·cos(24°) ≈ 9.1

The remaining acute angle is the complement of the given one:

  F = 90° -D = 90° -24°

  ∠F = 66°

6 0
2 years ago
The number that is 10 less than 6
almond37 [142]
The number (x) that is (=) 10 less than (-) 6

x = 6 - 10   Subtract
x = -4


6 0
3 years ago
Please answer this now with correct answer
lana66690 [7]

Answer:

483.56 square milimeters

Step-by-step explanation:

In the above question, we obtain the following information:

Slant height = 15mm

Radius = 7mm

π = 3.14

Since we are given the slant height ,

the formula for surface area of a cone = πrl + πr²

= πr (l + r)

= 3.14 × 7(15 + 7)

= 3.14 × 7( 22)

= 21.98(22)

= 483.56 square milimeters

7 0
3 years ago
LIEDUMICIS.ISLIULIULUI marks 4 1 point → An archer shoots an arrow into the air. The equation that describes the path of the arr
elena55 [62]

4)

the arrow touches the ground when the heigth is 0

so we need to replace h=0 and solve for t

\begin{gathered} h=17t-5t^2 \\ 0=17t-5t^2 \\ 0=t(17-5t) \\ 0=17-5t \\ 5t=17 \\ t=\frac{17}{5}=3.4 \end{gathered}

<em>the arrow tuches the ground at 3.4 seconds</em>

5)

F=m\times a

replacing

185=m\times13.7

<em>solve for m</em>

\begin{gathered} m=\frac{185}{13.7} \\  \\ m=13.50 \end{gathered}

<em>the mass is 13.50Kg</em>

<em />

4 0
1 year ago
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