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3 years ago

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Marissa is choosing a four-digit PIN for her ATM card. The first digit must be a digit from 1 through 9. For the other three dig

its, she can choose any combination of digits 0 through 9, but may not repeat a digit. Which shows part of the sample space for Marissa’s PIN?

1 answer:

nydimaria [60]3 years ago

7 0

Answer: the answer is C

Step-by-step explanation:

i did it

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What are the standard measurement sizes for dry measuring cups?

swat32

Answer:

The standard 4 measuring cup sizes are: 1 cup, 1/2 cup, 1/3 cup and 1/4 cup. With those four cup sizes you can measure dry ingredients for any recipe.

Step-by-step explanation:

7 0

3 years ago

Express each ratio as a fraction in the simplest form.<br> 12 beetles out of 18 insects<br> .

slava [35]

Answer:

2/3

Step-by-step explanation:

12/6=2

18/6=3

so

the fraction is 2/3

i think this is what your teachers means, lmk if thats wrong

3 0

3 years ago

Find the work done in emptying a cylindrical tank filled with water. The water is being pumped out from the 6 top. The tank has

lutik1710 [3]

Answer:

<em>908360.67 lb-ft</em>

<em></em>

Step-by-step explanation:

height of tank= 6 ft

diameter of the tank = 4 ft

density of water p = 62.4 lbs/ft

A is the cross sectional area of the tank

A = $\pi r^{2}$

where r = diameter/2 = 4/2 = 2 ft

A = 3.142 x $2^{2}$ = 12.568 ft^2

work done = force x distance through which force is moved

work = F x d

Force due to the water = pgAh

where g = acceleration due to gravity = 32.174 ft/s^2

Force = 62.4 x 32.174 x 12.568 x 6 = 151393.44 lb

work done = force x distance moved

work = 151393.44 x 6 = <em>908360.67 lb-ft</em>

8 0

3 years ago

If the distance from A (5,6) to B (1, b) is twice the distance from B to

Nimfa-mama [501]

Answer:

The possible values of $b$ are -2.944 and -9.055, respectively.

Step-by-step explanation:

From statement we know that $AB = 2\cdot BC$ . By Analytical Geometry, we use the equation of a line segment, which is an application of the Pythagorean Theorem:

$AB = 2\cdot BC$

$\sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}} = 2\cdot \sqrt{(x_{C}-x_{B})^{2}+(y_{C}-y_{B})^{2}}$ (1)

Where:

$x_{A}$ , $x_{B}$ , $x_{C}$ - x-Coordinates of points A, B and C.

$y_{A}, y_{B}, y_{C}$ - y-Coordinates of points A, B and C.

$(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2} = 4\cdot (x_{C}-x_{B})^{2}+4\cdot (y_{C}-y_{B})^{2}$

Then, we expand and simplify the expression above:

$x_{B}^{2}-2\cdot x_{A}\cdot x_{B} +x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot (x_{C}^{2}-2\cdot x_{C}\cdot x_{B}+x_{B}^{2})+4\cdot (y_{C}^{2}-2\cdot y_{C}\cdot y_{B}+y_{B}^{2})$

$x_{B}^{2}-2\cdot x_{A}\cdot x_{B} + x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot x_{A}^{2}-8\cdot x_{C}\cdot x_{B}+4\cdot x_{B}^{2}+4\cdot y_{C}^{2}-8\cdot y_{C}\cdot y_{B}+4\cdot y_{B}^{2}$

If we know that $x_{A} = 5$ , $y_{A} = 6$ , $x_{B} = 1$ , $y_{B} = b$ , $x_{C} = 1$ and $y_{C} = -3$ , then we have the following expression:

$1 -10 +25 +b^{2} -12\cdot b+36 = 100 -8 +4 +36+24\cdot b +4\cdot b^{2}$

$b^{2}-12\cdot b +52 = 4\cdot b^{2}+24\cdot b +132$

$3\cdot b^{2}+36\cdot b +80 = 0$

This is a second order polynomial, which means the existence of two possible real solutions. By Quadratic Formula, we have the following y-coordinates for point B:

$b_{1} \approx -2.944$ , $b_{2} \approx -9.055$

In consequence, the possible values of $b$ are -2.944 and -9.055, respectively.

8 0

3 years ago

U<br> 480<br> S<br> d<br> T<br> b<br> R.<br> C<br> P<br> 1549<br> Q

Pachacha [2.7K]

Answer:

a = 26°

b = 48°

c = 26°

d = 106°

7 0

3 years ago