5(1x + 7)= 30 what is x

B) 4.0 cm

First, we can adapt the law of sines to the notation of our triangle:

[tex]\frac{sin(W)}{w} =\frac{sin(U)}{u}[/tex]

Now, we can infer from our diagram that [tex]W=39[/tex], [tex]U=31[/tex], and [tex]u=3.3[/tex], so we can replace the values in our previous expression:

[tex]\frac{sin(W)}{w} =\frac{sin(U)}{u}[/tex]

[tex]\frac{sin(39)}{w} =\frac{sin(31)}{3.3}[/tex]

Finally, we can solve for [tex]w[/tex]:

[tex]\frac{3.3sin(39)}{w} =sin(31)[/tex]

[tex]3.3sin(39)=wsin(31)[/tex]

[tex]\frac{3.3sin(39)}{sin(31)} =w[/tex]

[tex]w=\frac{3.3sin(39)}{sin(31)}[/tex]

[tex]w=4.03224[/tex]

Which rounds to [tex]w=4.0[/tex]

We can conclude that the best approximation of w is 4.0 cm

The equation to represent how much money is left in Gene's gasoline budget after driving for x days is y = 275 - 7x, where x is the number of days Gene drives and y is the money left in the budget.

The equation representing how much money is left in Gene's gasoline budget after driving for x days can be expressed as y = 275 - 7x. Here, 275 represents the monthly gasoline budget, 7 is the cost of gasoline each day, and x is the number of days. If we plot y against x, we can visualize how Gene's monthly gasoline budget decreases by $7 for each day he drives.

This equation is a simple example of a linear equation, which describes a straight line in a coordinate system. The variable x is the independent variable (number of days driven) and y is the dependent variable (money left in the budget). The slope of the line (-7) represents the rate at which the budget decreases each day.

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If volume of a right rectangular shipping carton is 948.75 cubic meters and the height of the shipping carton is 11 meters, and the width is 7.5 meters then length is 11.5 meters.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that volume of a right rectangular shipping carton is 948.75 cubic meters.

The height of the shipping carton is 11 meters, and the width is 7.5 meters.

We have to find the  length of the shipping carton

V=Length × width × height

V= Length x 7.5 x 11

948.75 = 82.5 length

Divide both sides by 82.5

Length = 948.75/82.5

Length = 11.5 meters

Hence, if volume of a right rectangular shipping carton is 948.75 cubic meters and the height of the shipping carton is 11 meters, and the width is 7.5 meters then length is 11.5 meters.

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Answer:

i agree with answer above mine

Step-by-step explanation:

Answer: B

Step-by-step explanation: If it is asking the ratio from boys to girls the boy would be 1 and the girl would be 6 so the ratio is for every one boy is six girls. So it would be B.

The ladder makes an angle of 63.43 degrees with the ground.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that 20 foot ladder leans against a wall so that the base of the ladder is 8 feet from the base of the building

We need to find the angle which the ladder make with the ground.

tan(x) = opposite side / adjacent side

In this case, the opposite side is the height of the building, which is 20 feet.

The adjacent side is the distance from the wall to the base of the ladder, which is 8 feet.

Plugging in the values:

tan(x) = 20 / 8

x=tan⁻¹(20/8)

x=63.43 degrees

x is the angle

Hence, the ladder makes an angle of 63.43 degrees with the ground.

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122.96% and 5/3 cannot be considered probabilities of outcomes in a probability experiment because they are greater than 1. Correct option is d and e.

In probability, the probability of an outcome must be a value between 0 and 1, inclusive. Therefore, any value less than 0 or greater than 1 cannot be considered a probability of an outcome.

Let's check each option:

a) 0.222 - This is a valid probability since it is between 0 and 1.

b) 8.2% - This can be converted to a decimal as 0.082, which is a valid probability since it is between 0 and 1.

c) 0.0234 - This is a valid probability since it is between 0 and 1.

d) 122.96% - This can be converted to a decimal as 1.2296, which is not a valid probability since it is greater than 1.

e) 5/3 - This can be simplified to approximately 1.6667, which is not a valid probability since it is greater than 1.

f) 0.45% - This can be converted to a decimal as 0.0045, which is a valid probability since it is between 0 and 1.

Therefore, options (d) 122.96% and (e) 5/3 cannot be considered probabilities of outcomes in a probability experiment because they are greater than 1. The other options are valid probabilities as they fall within the range of 0 to 1, inclusive.

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