What is the similarity ratio of two cubes with volumes of 125 cubic meters and 216 cubic meters?

Each car in a rental fleet is either red or white, and there are 75 cars total. There are three more white than twice the number

professor190 [17]

Number of red cars = x
Number of white cars = y

x + y = 75
y + 3 = 2x

x + y = 75
y = 75 - x

(75 - x) + 3 = 2x
78 = 3x
26 = x

y + 3 = 2(26)
y + 3 = 52
y = 49

There are 49 white cars.

8 0

3 years ago

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Brainlist Please help me

creativ13 [48]

Answer:

Yes she made an error. Explanation is below.

Step-by-step explanation:

Let the sample space for a six sided number cube be S

$n(S) = \{1,2,3,4,5,6\}\\n(S) = 6$

Let the event of a number getting greater than two be B

$n(B) = \{3,4,5,6\}\\n(B) = 4$

To find:

the probability of complement of B that is

p(~B) = ?

Solution"

First we need to solve probability for number getting greater than two

$p(B) = \frac{n(B)}{n(S)}$

Now substituting the values we get

$p(B) = \frac{4}{6}$

$p(B) = \frac{2}{3}$

but we need complement of B so

$p(\textrm{complement of B)} = 1 - p(B)\\p(\~B) = 1 - p(B)\\p(\~B) = 1 - \frac{2}{3}\\ =\frac{1}{3} \\$

P(complement of rolling a number greater than two) = $\frac{1}{3}$

3 0

3 years ago

How many nickles does it take to make $50?

Rama09 [41]

There are 20 nickles in one dollar, so 20(nickles in a dollar) x 50(dollars) = 1,000
Hope this helps!

5 0

3 years ago

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The Johnson family pays $19.75 at the game for 3 ice cream cones and 4 funnel cakes. The Duke family pays $35.25 at the same gam

postnew [5]

Answer:

$1.75 cost of the funnel cake and $4.25 cost of the ice cream cone.

Step-by-step explanation:

x = cost of the ice cone cone

y = cost of the funnel cake

3x + 4y = 19.75 multiply (-2) ⇔ -6x - 8y = -39.50

5x + 8y = 35.25 do not change ⇔ + 5x + 8y = 35.25

-x = -4.25

x = 4.25 cost of the ice cream cone

Substitute into the second equation x = 4.25 and solve for y

5(4.25) + 8y = 35.25

21.25 + 8y = 35.25

8y = 14

y = 1.75 cost of the funnel cake

7 0

2 years ago

Let (-7, 2) be a point on the terminal side of 0.

nekit [7.7K]

By applying the definitions of trigonometric functions, the exact values of the sine, secant and tangent of the point on the terminal side are $\sin \theta = \frac{2}{\sqrt{53}}$ , $\sec \theta = -\frac{\sqrt{53}}{7}$ and $\tan \theta = -\frac{2}{7}$ .

<h3>How to determine the exact values</h3>

In this question we need to find the exact values of three trigonometric functions associated with the terminal side of an angle. The following definitions are used:

Sine

$\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}$ (1)

Secant

$\sec \theta = \frac{\sqrt{x^{2}+y^{2}}}{x}$ (2)

Tangent

$\tan \theta = \frac{y}{x}$ (3)

If we know that x = - 7 and y = 2, then the exact values of the three trigonometric functions:

Sine

$\sin \theta = \frac{2}{\sqrt{53}}$

Secant

$\sec \theta = -\frac{\sqrt{53}}{7}$

Tangent

$\tan \theta = -\frac{2}{7}$

By applying the definitions of trigonometric functions, the exact values of the sine, secant and tangent of the point on the terminal side are $\sin \theta = \frac{2}{\sqrt{53}}$ , $\sec \theta = -\frac{\sqrt{53}}{7}$ and $\tan \theta = -\frac{2}{7}$ .

<h3>Remark</h3>

The statement reports typing errors, correct form is shown below:

Let (x, y) = (- 7, 2) be a point on the terminal side of θ. Find the exact value of sin θ, sec θ and tan θ.

To learn more on trigonometric functions: brainly.com/question/6904750

#SPJ1

5 0

1 year ago