The length of the rectangle will be 12 units.
What is a rectangle?
The rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
Area of rectangle = length × width.
Perimeter of ractangle = 2( length + width).
Let say,
Length = l and width = w
Given,
length of a rectangle is 3 times the width
l = 3w
The difference between the length and the width is 8 feet
l - w = 8
By equation 1 and 2
3w - w = 8
2w = 8
w = 4
Substitute into equation 1
l = 3(4)
l = 12 units.
So the length of the rectangle will be 12 units.
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There is a spinner with 14 equal areas, numbered 1 through 14. If the spinner is spun one time, what is the probability that the result is a multiple of 5 or a multiple of 2?
The probability that a spinner with 14 equal areas lands on a multiple of 5 or a multiple of 2 is 4/7, after identifying the unique numbers from 1 to 14 that fit the criteria and dividing by the total number of possible outcomes.
The student is asking about the probability of an event occurring after spinning a spinner with 14 equal areas numbered 1 through 14. Specifically, the question seeks the probability that the result is either a multiple of 5 or a multiple of 2 when the spinner is spun once.
To solve this, first identify the multiples of 5 and 2 between 1 and 14: for 5, the multiples are 5 and 10; for 2, the multiples are 2, 4, 6, 8, 10, 12, and 14. Here, the number 10 is a multiple of both 5 and 2, so it should only be counted once. In total, there are 8 unique numbers that are multiples of 2 or 5 on the spinner. Since there are 14 possible outcomes, the probability is:
Probability = Number of favorable outcomes / Total number of outcomes = 8 / 14 = 4/7.
Thus, the probability that the spinner lands on a multiple of 5 or a multiple of 2 is 4/7.
Find the maximum and minimum values of f(x,y,z)=5x+4y+1z on the sphere x2+y2+z2=1.
PLEASE HELP I WILL FAIL MATH I will give you brainest
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Convert 30 gallons to liters using an equivalent rate
Solve the equation using square roots. 7x2 + 6 = 13
Given the equation is 7x² + 6 = 13.
Solving the quadratic equation using square roots :-
7x² + 6 = 13
Step 1 :- subtracting 6 from both sides
7x² + 6 - 6 = 13 - 6
7x² = 7
Step 2 :- Dividing by 7 on both sides
[tex] \frac{7x^{2}}{7} = \frac{7}{7} \\\\
x^{2} = 1 [/tex]
Step 3 :- Taking square root on both sides
[tex] \sqrt{x^{2}} = \sqrt{1} \\\\
x = -1 \;\;OR\;\; x=1 [/tex]
So, x = -1 or x = 1 is the final answer.
True or false ? The polynomial below is a perfect square trinomial of the form A2-2AB+B2 4x2-16x+16
simplify the expression using the distributive property 42 + 7a
You bought a new shirt for $15.95 and 5 pairs of socks. Your friend bought 10 pairs of socks and spent $4.20 less then you. How much did each pair is socks cost
Answer with an equation with variable. Make the variable the cost of socks.
The radius of a sphere is 6 inches. Find the length of a chord connecting two perpendicular radii. x = inches
6√2 ≈ 8.485 inches
Step-by-step explanation:The radii and the chord together make an isosceles right triangle with legs 6 inches long. The hypotenuse of such a triangle is √2 times the leg length. So, the chord will be 6√2 in long.
_____
Comment on isosceles right triangle
It is worth remembering that the hypotenuse of an isosceles right triangle is √2 times the leg length. This is easily found using the Pythagorean theorem:
... c² = a² + b²
... c² = 1² + 1² = 2 . . . . for legs of length 1
... c = √2 . . . . . . . . . . take the square root.
Scale this result as needed for any particular problem. Here, the scale factor is 6 inches.
If it takes 6.7 lb of seed to plant one acre of grass how many acres can be planted with 8.04 pounds of seed?
Answer:
1.2 acres of grass
Step-by-step explanation:
It takes 6.7 lb of seed to plant one acre of grass. The ratio of interest is 6.7 lb seed:1 acre of grass. We can find the acres of grass that can be planted with 8.04 pounds of seed using a conversion fraction.
8.04 lb × (1 acre/6.7 lb) = 1.2 acre
We can plant 1.2 acres of grass with 8.04 pounds of seed.
Distribute and simplify these radicals. 12 x(-1+ √5)
Answer is B. -2√3+2√15
By using distributive property, 12 × (-1 + [tex]\sqrt{5}[/tex]) = 14.832.
What is distributive property?According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Given
12 × (-1 + [tex]\sqrt{5}[/tex])
Apply distributive property
= 12 × (-1) + 12 × [tex]\sqrt{5}[/tex]
= -12 + 12[tex]\sqrt{5}[/tex]
≅ 14.832
Hence by using distributive property, 12 × (-1 + [tex]\sqrt{5}[/tex]) = 14.832.
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which of the columns above represent numerical data?
check all that apply
Which decimal is the equivalent of 6/11 Repeated
Drives 1,212 miles from there home to the park if they drive the same number of miles each day for 4 days how many miles will the drive each day.
A.303
B.330
C.403
D.3,030
Please Help me find the answer thank you
kevin had 13 coins in his pocket. all of his coins are either dimes or quarters. when he emptied his pocket, kevin found that he had 2.05. how many dimes and quarters does he have?
Answer:
Kevin has 5 quarters and 8 dimes.
Step-by-step explanation:
First of all, a quarter is worth 0.25 dollars, while a dime is worth 0.10 dollars. As Kevin has 13 coins in his pocket which in sum make $2.05, and all of them are either dimes or quarters, in order to determine how many dimes and quarters does he have, we have to take into account that he's got an odd number of quarters, since the final amount of money sums $2.05, that is, it ends in 5.
Therefore, if he had 1 quarter and 12 dimes (0.25 + 12x0.10 = 1.45), he would have $1.45.
If he had 3 quarters and 10 dimes (0.25x3 + 10x0.10 = 1.75), he would have $1.75.
If he had 5 quarters ahd 8 dimes (0.25x5 + 8x0.10 = 2.05), he would have $2.05, so this is the correct option.
Angel draws a circle with a radius of 5 cm. What is the area of Angel's circle? Use 3.14 for pi
In the diagram, MQ = QP = PO = ON.
If NP is greater than MP, which must be true?
Segment OP is longer than segment MQ.
Segment MN has the same length as segment MP.
The measure of angle Q equals the measure of angle O.
Angle O is larger than angle Q.
Answer:The measurement of angle O is greater than angle Q is the correct statement.
Explanation: Since, According to the question, MQ = QP = PO = ON and MP is greater than NP.
Then, In first option, segment OP is longer than segment MQ is false because OP=MQ.
In second option, MN=MP can not be possible because NP is greater than MP.
In third option, The measure of angle Q equals the measure of angle O also can not be possible because MN is not parallel to QO.
But, In fourth option, Since MP is greater than NP thus NO makes larger angle than MQ.
Thus, fourth option is correct.
Help ASAP please!
Which set of numbers could represent the lengths of the sides of a right triangle?
16, 32, 36
8, 12, 16
3, 4, 5
9, 10, 11
What is the probability of not drawing a blue marble?
A: 1/4
B: 2/3
C: 1/3
D: 3/4
There are 203 apples in a basket. How many children can share these apples equally? How many apples would each child get?
Question#1: All possible numbers of children in ascending order are:
Question#2: All possible numbers of apples in descending order are:
please help!!!!!!!!!
Answer:
Question 1: 1, 7, 29, 203
Question 2: 203, 29, 7, 1
Step-by-step explanation:
Using the figure,
a
c
=
d
a
.
What steps need to be taken to change this to a² = cd?
Example: Multiply by 2; divide by a, etc
Find the fifth term of an=2(-1) n
Answer:
The fifth term of [tex]a_n = 2(-1)^n[/tex] is, -2
Step-by-step explanation:
Given the sequence:
[tex]a_n = 2(-1)^n[/tex] .....[1]
where,
n is the number of terms.
To find the fifth term of the given sequence:
Substitute n = 5 in [1] we have;
[tex]a_5 = 2 \cdot (-1)^5[/tex]
⇒[tex]a_5 = 2 \cdot -1 = -2[/tex]
Therefore, the value of fifth term of [tex]a_n[/tex] is, -2
Divide and simplify. 32x9y2 2xy-2
Chen has an unlimited supply of square tiles. She has 1 cm x 1 cm tiles, 2 cm x 2 cm tiles, 3 cm x 3 cm tiles, and so on. Every tile has integer side lengths. A rectangular table top with an 84 cm x 112 cm surface is to be completely covered by identical square tiles, none of which can be cut. Chen wants to use the minimum number of identical tiles to complete the job in order to reduce her costs. Determine the minimum number of identical tiles required to completely cover the table top.
The minimum number of identical square tiles required to completely cover an 84 cm x 112 cm tabletop is 12 tiles, each with side lengths of 28 cm.
To determine the minimum number of identical square tiles required to completely cover a rectangular tabletop with dimensions 84 cm x 112 cm, we need to find the greatest common divisor (GCD) of the two side lengths. This is because using tiles that match the GCD will ensure that they fit perfectly across both lengths and widths without needing to cut any tiles.
The GCD of 84 and 112 is 28. Therefore, the side length of the square tile that Chen should use is 28 cm x 28 cm. To find the number of tiles needed, we then divide the area of the tabletop (which is 84 cm x 112 cm or 9408 square cm) by the area of one tile (which is 28 cm x 28 cm or 784 square cm).
The calculation is as follows: 9408 square cm / 784 square cm = 12. Therefore, Chen needs a total of 12 tiles of 28 cm x 28 cm to cover the entire tabletop.
Use the distributive property to simplify the expression. 8(3 + 4) = 24 +
f (x)-x^2+6x-7 at x=2
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Find the markup on the following item. A candy bar costing $0.52 and selling for $0.79. 0.27 0.41 0.66 1.31
How many triangles are in a dodecagon