In the diagram, the radius of the outer circle is 2x cm and the radius of the inside circle is 6 cm. The area of the shaded region is 288π cm².

What is the value of x?

Answer:

less than 1

Step-by-step explanation:

1/8 can be translated to 0.125, multiply 0.125 by 3 to get 0.375.

What I think your assignment told you to do is calculate how many times 1/8 goes into 3 though, simply put, you just need to multiply 8 by 3 to find this result, which is 24.

Final answer:

Luis skates further to school than Isabella, as 2/3 mile is greater than Isabella's distance of 1/2 mile after simplification.

Explanation:

The question revolves around figuring out who skates further to school, Luis or Isabella. Luis skates 2/3 mile from his home to school whereas Isabella skates 2/4 mile (which can be simplified to 1/2 mile) to get to school. To determine who skates further, we look at the fraction representing the distance each person skates.

Luis's distance is 2/3 mile, and Isabella's distance, after simplification, is 1/2 mile. Since 2/3 is greater than 1/2, Luis skates further to get to school than Isabella.

Volume of rectangular prism is [tex]11\frac{1}{4}[/tex] cm³

Given that:

Length of prism = [tex]2\frac{1}{2}[/tex] meter = 5/4 meter

Width of prism = 4 meter

Height of prism = [tex]2\frac{1}{4}[/tex] meter = 9/4 meter

Find:

Volume of rectangular prism = lbh

Volume of rectangular prism = [5/4][4][9/4]

Volume of rectangular prism = 45 / 4

Volume of rectangular prism = [tex]11\frac{1}{4}[/tex] cm³

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Answer: Here is your answer!! :)

Step-by-step explanation:

Answer:

8 - 2/x

Step-by-step explanation:

All you have to do is read the problem and then you will get your answer so as you see it say 8 - ok you get that now when it say the the quotient of two that means it’s is 2 over x so like the 2/x

eight minus the quotient of two and a number x

Hoped I Helped

Answer: I took a test, the answers C.

Step-by-step explanation:

Answer:

Here

Step-by-step explanation:

The Putri turned 36 degrees to her left should she turn before walking home if Putri is searching for a secret cave that she knows is 3.72 kilometers from her home. Starting from her home, she walks 2.60 kilometers in a straight line before coming upon a large rock.

The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have:

The total distance between cave to home AC = 3.72 km

The distance she walks AB = 2.60 km

The angle of turn = 58°

As we can see in the triangle ABC we can apply the sin law:

[tex]\rm \frac{AB}{sinx} = \frac{AC}{sin58\°}[/tex]

[tex]\rm \frac{2.6}{sinx} = \frac{3.72}{sin58\°}[/tex]

sinx = 0.5927

x = 36.35 ≈ 36°

Thus, the Putri turned 36 degrees to her left should she turn before walking home if Putri is searching for a secret cave that she knows is 3.72 kilometers from her home. Starting from her home, she walks 2.60 kilometers in a straight line before coming upon a large rock.

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Putri should turn 122 degrees to her left when facing the big rock to head back to her home. This direction aligns her with the original path she took to reach the cave.

To determine the number of degrees to her left Putri should turn, we need to analyze her movements using the angles involved.

When Putri is in the cave facing the large rock, to get back to her home, she needs to turn in the opposite direction of her initial right turn:

Putri should turn 122 degrees to her left when facing the big rock to head back to her home.

To plot points on a number line without measuring, it needs to follow various points mentioned below.

A number line is a visual representation of the real number system, where every point on the line corresponds to a unique real number.

Here,
To plot points on a number line without measuring, you can follow these steps:

Repeat steps 4 and 5 for all the points you want to plot on the number line.

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The area of Dominic's trapezoid-shaped bench seat is 11.25 square feet. This is calculated using the trapezoid area formula with given bases of 5 and 4 feet and a height of 2.5 feet.

To find the area of the seat of Dominic's bench, which is in the shape of a trapezoid, we use the formula for the area of a trapezoid:

Area = 1/2 × (Base1 + Base2) × Height

In this case:

Substitute these values into the formula:

Area = 1/2 × (5 + 4) × 2.5

Area = 1/2 × 9 × 2.5

Area = 4.5 × 2.5

Area = 11.25 square feet

Thus, the area of the trapezoid-shaped seat is 11.25 square feet.

Here are the steps to follow:

The LCD of [tex]\( \frac{4}{6} \)[/tex] and [tex]\( \frac{5}{7} \)[/tex] is [tex]42[/tex]. This is because [tex]42[/tex] is the smallest number that both [tex]6[/tex] and [tex]7[/tex] divide into evenly, ensuring that [tex]\( \frac{25}{6} \)[/tex] and [tex]\( \frac{39}{7} \)[/tex] can be expressed with a common denominator of [tex]42.[/tex]

1. Convert [tex]\( 4 \frac{1}{6}[/tex]  to an improper fraction:

[tex]\[ 4 \frac{1}{6} = \frac{4 \times 6 + 1}{6} = \frac{24 + 1}{6} = \frac{25}{6} \][/tex]

2. Convert [tex]\( 5 \frac{4}{7} \)[/tex] to an improper fraction:

[tex]\[ 5 \frac{4}{7} = \frac{5 \times 7 + 4}{7} = \frac{35 + 4}{7} = \frac{39}{7} \][/tex]

Now, the fractions [tex]\( \frac{25}{6} \)[/tex] and [tex]\( \frac{39}{7} \)[/tex] need to have a common denominator to find the LCD.

Finding the Least Common Denominator (LCD)

To find the LCD, we need to determine the least common multiple (LCM) of the denominators [tex]6[/tex] and [tex]7[/tex]

The prime factorization of [tex]6[/tex] is [tex]\( 2 \times 3 \).[/tex]

The prime factorization of [tex]7[/tex] is [tex]\( 7 \).[/tex]

The LCM of [tex]6[/tex] and [tex]7[/tex] is [tex]\( 6 \times 7 = 42 \).[/tex]

Verify and Convert to Common Denominator:

Convert both fractions to have a denominator of [tex]42[/tex]

[tex]\[ \frac{25}{6} \times \frac{7}{7} = \frac{175}{42} \][/tex]

[tex]\[ \frac{39}{7} \times \frac{6}{6} = \frac{234}{42} \][/tex]

Now, [tex]\( \frac{25}{6} \) converts to \( \frac{175}{42} \) and \( \frac{39}{7} \) converts to \( \frac{234}{42} \).[/tex]

The interest is $106.30 and the proceeds is approximately $1093.70

Calculating simple interest.

The simple interest is the amount of interest charges on the amount being borrowed and its paid by the borrower.

The simple interest can be determined by using the formula;
[tex]S. I = \dfrac{p\times r \times t}{100}[/tex]

[tex]S. I = \dfrac{1200\times 18 \times \dfrac{180}{365}}{100}[/tex]

S.I = $106.30

The proceeds for the loan = Loan amount - interest

Proceeds = $1200 - $106.30

Proceeds = $1093.70

Answer:

The correct answer is A).

Step-by-step explanation:

He have the quadratic functions f(x) = 16x²-240x+896. The first step should be to check if the coefficients 240 and 896 are divisible by 16, which is true. Then, extracting 16 as common factor we have

f(x) = 16(x²-15x+56).

Now we can use directly the formula to find the roots of a quadratic equation, or a more efficient way in terms of calculations. We must find to numbers such that their product is +56 and their addition or subtraction is -15. It is not difficult to check that -7 and -8 fulfill those conditions. Hence,

f(x) = 16(x²-15x+56)= 16(x-7)(x-8).

Therefore, the solutions are x=8 and x=7.

Answer:

Answer X = 67

Step-by-step explanation:

so what you do is

180 - 46 = 134

then you devide 134 by 2 which is

134/2 = 67

Answer X = 67

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Answer:

Out of the options given prior to the question, the graph that is wider than the graph y = 3x^2 + 2 would be B) y = 0.5x^2 + 1. Hope we helped! :D

If buying a dozen bagels for $2.39 also gets an additional bagel for free, the cost per bagel when rounded to the nearest cent is $0.18.

The subject of your question is on the topic of unit cost. In this case, we will be calculating the cost per bagel when you buy a dozen bagels for $2.39 and get an additional bagel for free.

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