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3 years ago

Choose the ratio below that is equivalent to 3:5A. 5:3B. 9:15C. 9:5D. 8:4

1 answer:

n200080 [17]3 years ago

4 0

Hi there! Just by looking at the choices, we can eliminate C and D, because those answers don’t make sense and they don’t flow together. 3:5 is equivalent to those like 6:10, 9:15, 12:20, and so on. You can basically add 3 and 5 in order to get the next ratios. The only ratio that works in this problem is B. The answer is B: 9:15.

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Three people pull simultaneously on a stubborn donkey. Jack pulls directly ahead of the donkey with a force of 90.5 N , Jill pul

Radda [10]

Answer:

Fn= 174.9 N : Magnitude of the net force the people exert on the donkey.

Step-by-step explanation:

We find the components of the forces in x-y-z

Force of Jack in z =F₁z=90.5 N in direction (+z)

Force of Jill in x = F₂x= -82.3*cos45°= - 58.19 N (-x)

Force of Jill in y =F₂y=-82.3*sin45°= + 58.19 N (+y)

Force of Jane in x =F₃x=125*cos45°= + 88.4 N (+x)

Force of Jane in y =F₃y=125*sin45°= + 88.4 N (+y)

Calculating of the components of the net force the people exert on the donkey.

Fnx= F₂x+F₃x=( - 58.19+ 88.4 )N=30.2N (+x)

Fny= F₂y+F₃y=( 58.19+88.4 ) = 146.59 N (+y)

Fnz =F₁z=90.5 N (+z)

Calculating of the magnitude of the net force the people exert on the donkey.

$F_{n} =\sqrt{(F_{nx})^{2}+(F_{ny}) ^{2} +(F_{nz}) ^{2} }$

$F_{n} =\sqrt{(30.2)^{2}+( 146.59) ^{2} +(90.5) ^{2} }$

$F_{n} = 174.9 N$

7 0

3 years ago

What is the common ratio of the geometric sequence pt.1

MaRussiya [10]

Answer:

The common ratio is -6

Step-by-step explanation:

The given sequence is

$\frac{1}{18},-\frac{1}{3},2,-12,...$

The common ratio can be found using any two consecutive terms of the geometric sequence.

$r=\frac{-12}{2}=-6$

The correct answer is the last choice.

6 0

3 years ago

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Erin calculated the average speed of her most recent run to be 120/16 miles per hour how is this friction expressed as a decimal

Contact [7]

Answer:

$\dfrac{15}{2}$

Step-by-step explanation:

The average speed of the Erin is 120/16 mph

Here,

Numerator = 120

Denominator = 16

mph = miles per hour

We need to find an expression expressed as a decimal.

So,

$\dfrac{120}{16}=\dfrac{2\times 3\times 2\times 2\times 5}{2\times 2\times 2\times 2}\\\\=\dfrac{15}{2}$

So, the final answer is $\dfrac{15}{2}$ .

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3 years ago

in a survey, 250 adults and children were asked whether they know how to swim. the surgery data are shown in the relative freque

Nadusha1986 [10]

Answer: D

Step-by-step explanation:

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2 years ago

Write a polynomial function in standard form with zeros at 1, 2, and 3.

nadezda [96]

The polynomial whose zeroes are 1, 2 and 3 is given by,
(x-1)(x-2)(x-3) = 0
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x[x²-5x+6] -1[x²-5x+6]=0
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Therefore, the required polynomial is,
x³ - 6x² + 11x -6 = 0

8 0

3 years ago

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