Answer:
The ratio of the circumferences of Circle P to Circle Q is [tex]\( \frac{2}{3} \).[/tex]
Explanation:
The circumference of a circle is given by the formula \(C = \pi \times d\), where [tex]\(d\)[/tex] is the diameter.
For Circle P with a diameter of 20 feet, the circumference is:
[tex]\[ C_P = \pi \times 20 \][/tex]
For Circle Q with a diameter of 30 feet, the circumference is:
[tex]\[ C_Q = \pi \times 30 \][/tex]
To find the ratio of the circumferences of Circle P to Circle Q, we divide the circumference of Circle P by the circumference of Circle Q:
[tex]\[ \text{Ratio} = \frac{C_P}{C_Q} = \frac{\pi \times 20}{\pi \times 30} \][/tex]
[tex]\[ \text{Ratio} = \frac{20}{30} = \frac{2}{3} \][/tex]
So, the ratio of the circumferences of Circle P to Circle Q is [tex]\( \frac{2}{3} \).[/tex]
A hiker leaves camp and hikes 9 miles north and than hikes 7 miles east. What is the resulting displacement of the hiker?
The perimeter of a rectangle is 524cm. The length is is 42cm more than the width. What is the length of the rectangle?
At the gas station each liter of gas costs $3 but there is a promotion that for every beverage you purchase you save 0.20 cents on gas. Is your total savings on gas proportional to the number of beverages you purchase?
Answer:
Yes
Step-by-step explanation:
The answer is yes it is proportional
factor Completely 2x^2+11x-63
Answer:
(x + 9) × (2x - 7)
Step-by-step explanation:
You need to write the equation as a difference
2x^2 + 18x - 7x - 63
Then factor the expressions
2x(x + 9) - 7(x + 9)
Factor again
choose the graph below that correctly represents the equation 2x + 4y = 24.
A.
B.
C.
D.
Answer:
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Step-by-step explanation:
Two fifths of the fish in Gary's fish tank are guppies onefourth of the guppies is red what fraction of the fish in Gary's tank are red guppies what fraction of the fish in Gary's tank are not red guppies show your work
A box of nutmeg weighs 99.66 grams. If there are 22 teaspoons of nutmeg in the box, how much does one teaspoon of nutmeg weigh? (Round your answer to the nearest thousandth.)
10d+10=5d+45 plz help
A cracker company packages its product in a box that is shaped like a rectangular prism. The box is 6 inches long, 2 inches wide, and 8 inches high.
V=lwh
What is the volume of the box?
A.22 in³
B.50 in³
C.96 in³
D.16 in³
what is 3.24 x 10^-4 divided by 8.1 x 10^-7 in scientific form?
Which statement is true about the result of a rigid transformation? (4 points)
The image will be larger than the pre-image.
The pre-image will be larger than the image.
Each one is unique; no general statement can be made about size.
The pre-image will be congruent to the image
Answer:
The pre-image will be congruent to the image : True
Step-by-step explanation:
The transformation falls broadly into two types.
Rigid Transformation and Non Rigid Transformation .
Rigid Transformation: The new image has the same size and the shape as that of pre image. Thus both the images are congruent to each other.
Non Rigid Transformation : The new image is has the same shape. however the size of the new image changes. hence they are similar to each other but not congruent.
Hence our third option is correct.
Write 7.50x +15y=750 in slope intercept form.
Nicole has $9 to spend on cards.She finds friends with the same amount of money to split the cost of a set. One set cost $27. Each friend gets the same number of cards. How many cards does each friend get?
Answer: Number of cards each friend gets is given by
[tex]\frac{x}{3}[/tex]
Step-by-step explanation:
Let the number of cards be x.
Since we have given that
Amount Nicole used to spend on cards = $9
Total cost of one set =$27
Since she finds friends with the same amount of money to split the cost of a set.
So, Number of friends she finds is given by
[tex]\frac{27}{9}=3\\\\\text{ Nicole finds 2 friends who has same amount to split the cost}[/tex]
Now, Number of cards each friend gets is given by
[tex]\frac{x}{3}[/tex]
a contractor purchases motors listed at $6800 and receives successive discounts of 20% and 10%. what is the net cost
A rectangular park, with dimensions of 1500ft x 2000ft has a diagonal walking path that goes from corner to corner. How long is the walking path?
250 ft
2500 ft
3500 ft
5000 ft
Mandy has 36 cups of apple juice. she uses 1/4 of the juice to make punch. she then uses the remaining juice to pour single servings that are 1/3 cup each. how many single servings does Mandy pour?
There was 2/3 of a pizza for 6 friends to share equally. What fraction of the pizza did each person get
Each person get 1/9 of a pizza.
What is Fraction?
A fraction is defined as a part of a whole.
Given that;
There was 2/3 of a pizza for 6 friends to share equally.
Now,
Total amount of pizza = 2/3
Number of friends = 6
So, For finding the amount of pizza get by each person we formulate.
= 2/3 × 1/6
= 2/18
= 1/9
Thus, Each person get 1/9 of a pizza.
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Line R T and line S U slightly inclined with horizontal intersects at V. The upward and downward angles of the intersecting lines are obtuse. The left and right angles of the intersecting lines are acute. The measure of angle R V U is labeled as left parenthesis 8 y minus 33 right parenthesis degrees. The measure of angle S V T is labeled as left parenthesis 5 y plus 9 right parenthesis degrees.
Answer:
14=y
or y=14
Step-by-step explanation:
Which rhetorical device would you use to make a comparison between the current situation and another situation A refrain
B parallel structure
C imagery
D allusion
Lucie drank 3/4 of a pint of bottled water. One serving of the water is 7/8 of a pint. How much of a serving did she drink.
On the field trip, Toni collected 4 times as many bugs as Kaylie. Kaylie collected 14 bugs. How many bugs did Toni collect? Draw a bar diagram. Write and solve an equation to represent the problem
solve by factoring and show work x^2-3x-10=0
Write a word phrase to represent the numerical expression 5+(17-8)
Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function.
f(x) = -2x4 + 4x3 + 3x2 + 18
To list all possible rational zeros of the function f(x) = -2[tex]x^{4}[/tex] + 4[tex]x^{3}[/tex]+ 3[tex]x^{2}[/tex] + 18, apply the Rational Zeros Theorem, which suggests dividing the factors of the constant term (±1, ±2, ±3, ±6, ±9, ±18) by the factors of the leading coefficient (±1, ±2), leading to a list of possible rational zeros.
To use the Rational Zeros Theorem to find all possible rational zeros of the function f(x) = -2[tex]x^{4}[/tex] + 4[tex]x^{3}[/tex]+ 3[tex]x^{2}[/tex] + 18, we need to look at the factors of the constant term and the leading coefficient. For the constant term (18), the factors are
±1, ±2, ±3, ±6, ±9, ±18. For the leading coefficient (-2), the factors are ±1 and ±2. According to the Rational Zeros Theorem, the possible rational zeros are obtained by taking all the factors of the constant term and dividing them by the factors of the leading coefficient.
The list of all possible rational zeros is ±1, ±2, ±3, ±6, ±9, ±18, ±1/2, ±3/2, ±9/2, and ±18/2.
Write 24.357 in the Expanded form using fractions
What is 75 1/2 Times 100 3/4
Which expressions are perfect square trinomials? Check all that apply.
x2 + 16x + 8
x2 + 14x + 49
x2 – 5x + 25
x2 – 24x + 144
x2 + 9x – 81
The expressions that give perfect square trinomials are:
[tex]x^2+14x + 49[/tex] and [tex]x^2-24x+144[/tex]
A quadratic trinomial of the form [tex]ax^2+bx+c[/tex] is a perfect trinomial if it can be expressed as [tex](mx + n)^2[/tex]
Let us consider [tex]x^2+14x + 49[/tex]
[tex]x^2+14x+49\\x^2+7x+7x+49\\x(x+7)+7(x+7)\\(x+7)(x+7)\\(x+7)^2[/tex]
Let us consider:
[tex]x^2-24x+144\\x^2-12x-12x+144\\x(x-12)-12(x-12)\\(x-12)(x-12)\\(x-12)^2[/tex]
All other options do not give a perfect square when tested
Therefore, the expressions that give perfect square trinomials are:
[tex]x^2+14x + 49[/tex] and [tex]x^2-24x+144[/tex]
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A box of 8 snack bars costs $24.72. A single snack bar costs $3.47. What is the savings on each snack bar if you buy a box of 8 snack bar?
Tell whether the sequence is Arithmetic, Geometric, or Neither. -5, 95, 195, 295, 395
when rounded to the nearest hundred which of the following would round of to 4,600