Answer:
The area of the picnic table is [tex]18.75\ ft^{2}[/tex] or [tex]18\frac{3}{4}\ ft^{2}[/tex]
Step-by-step explanation:
we know that
[tex]1\ yd= 3\ ft[/tex]
Let
L-----> the length of the table
W----> the width of the table
the area of the table is
[tex]A=LW[/tex]
Convert yards to feet
[tex]L=\frac{5}{6}\ yd=\frac{5}{6}*3=\frac{5}{2}\ ft[/tex]
[tex]W=3L[/tex]
[tex]W=3(\frac{5}{2})=\frac{15}{2}\ ft[/tex]
substitute in the formula
[tex]A=\frac{5}{2}(\frac{15}{2})=\frac{75}{4}=18.75\ ft^{2}[/tex]
To calculate the area of the picnic table, convert the length to feet and multiply by the width, also in feet, to find the area in square feet.
Explanation:The student is asking about the area of a picnic table in square feet when the width is 3 times the length and the length is given as 5/6 yard. To find the area, first, calculate the width by multiplying the length of 5/6 yard by 3, which gives 5/2 yards (or 2.5 yards).
Since there are 3 feet in a yard, we convert the measurements to feet: 5/6 yard is equal to 5/6 * 3 feet, and the width is 2.5 * 3 feet. Next, multiply the length and width in feet to find the area.
It is important to note that converting measurements should retain unit consistency throughout the calculation.
Which expression helps you find the length of X of a side of a rectangle that has a diagonal of 15 units and a width of nine units
Answer:
12 units
Step-by-step explanation:
by the pythagorean relation,
x^2 + 9^2 = 15^2
x^2 + 81 = 225
x^2 = 144
x = 12 units
Answer:
x^2 = 15^2 – 9^2
Step-by-step explanation:
A ___compares the two numbers by division
Answer:
Ratio
Step-by-step explanation:
A ratio is a comparison of two numbers by division.
A ratio is a comparison of two numbers by division. It compares two quantities measured in the same units.
Ratios compare two quantities measured in the same units. Ratios have no units. They are expressed as a fraction in simplest form.
A ratio compares two numbers by division. In scientific notation, you divide the numbers out front and subtract the exponents. For the logarithm of a number resulting from division, the difference between the logarithms of two numbers is calculated.
Explanation:A ratio is what compares two numbers by division. It's a way of comparing or relating one amount to another. For example, if we have 10 apples and 5 oranges, the ratio of apples to oranges is 10 to 5, which can also be expressed through division as 10/5 (which simplifies to 2).
In cases involving scientific notation, division can be handled by performing the division upfront and then subtracting the exponents. When working with the logarithm of a number resulting from division, the result would be the difference between the logarithms of the two original numbers.
Consider the following scientific notation division example: given 106 and 103, you would first divide the 'numbers out front', in this case, 1 divided by 1 equals 1. Then you subtract the exponents, 6 minus 3, which equals 3. Thus, 106 divided by 103 equals 103.
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Rob deposits $1000 in a savings account at New York State bank that pays 4.4% interest,compounded monthly. How much is in his account at the end of one year? What is the APY for this account to the nearest hundredth of a percent ?
Answer:
$45
Step-by-step explanation:
I used a compound interest calculator
Rob will have $1044.89 in his account at the end of one year. The APY for this account is 4.47%.
Explanation:The subject of the question is related to calculating the final balance of a savings account that earns compound interest. In Rob's case, he deposits $1000 in a bank account that pays 4.4% interest compounded monthly. In order to calculate the balance at the end of the year, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount (the initial amount of money), r is the annual interest rate (in decimal), n is the number of times that interest is compounded per year, and t is the time the money is invested for in years.
To find Rob's account balance at the end of one year, we would substitute the values into the formula as follows: A = 1000(1 + 0.044/12)^(12*1) = $1044.89. This means Rob will have $1044.89 in his account at the end of one year. The APY (Annual Percentage Yield) for this account is closer to the nominal rate due to the effect of monthly compounding, which follows the formula APY = (1 + r/n)^(nt) - 1. Substituting the values gives us, APY = (1+ 0.044/12)^(12) - 1 = 0.044682, which is approximately 4.47 after converting to percentage and rounding to the nearest hundredth of a percent.
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Given two functions f(x)=2x+1 and g(x)=−13x−3 , what is the function rule for (f+g)(x)
Answer:
(f+g)(x)=5/3x−2
Step-by-step explanation:
(f+g)(x)=f(x)+g(x)
f(x)=2x+1 + g(x)=−1/3 x−3
add like terms
2x+(-1/3 x)=5/3 x
1+(-3)= -2
so...
(f+g)(x)=5/3 x−2
In a survey, 250 adults and children were asked whether they know how to
swim. The survey data are shown in the relative frequency table.
What percentage of the people surveyed cannot swim?
Answer:
Step-by-step explanation:
B because .06 + .12 = .18 which is 18% out of 250 people
Hello, I'm Eric. I'll be trying my best to assist you on your question today.
0.12 is 12 percent.
We also have the 0.06 percent which would just be 6 percent
We need to add up those percentages to get 18 percent, for the people surveyed that cannot swim would be 18 percent.
Our final answer is D.
Not the right answer or confused? Reply to this question for help.
Enjoy your day - Eric
a cone and a sphere have the same volume. the height of the cone is 96 units. what would be the values for the radius of the cone and the sphere?
The volume [tex]V_c[/tex] of a cone with base radius [tex]r_c[/tex] and height [tex]h_c[/tex] is
[tex]V_c = \dfrac{1}{3}\pi r_c^2 h_c[/tex]
Similarly, the volume [tex]V_s[/tex] of a sphere with radius [tex]r_s[/tex] is
[tex]V_s = \dfrac{4}{3}\pi r_s^3[/tex]
We know that [tex]V_c=V_s[/tex] and that [tex]h_c=96[/tex]
So, we can set up the following equation:
[tex]\dfrac{96}{3}\pi r_c^2=\dfrac{4}{3}\pi r_s^3[/tex]
We can simplify the common denominator 3, and pi appearing on both sides:
[tex]96r_c^2=4r_s^3[/tex]
We can divide both sides by 4:
[tex]24r_c^2=r_s^3[/tex]
Without further information, this is all we can say: the cubed radius of the sphere is the same as 24 times the squared radius of the cone.
The values for the radius of the cone and the sphere is 24 units.
It is given that a cone and a sphere have the same volume.
It is required to find the radius of the cone and sphere if the height of the cone is 96.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We know the volume of the cone:
[tex]\rm V_c = \pi R^2\frac{H}{3}[/tex]
Where R is the radius of the cone and H is the height of the cone.
And the volume of the sphere:
[tex]\rm V_s = \frac{4}{3} \pi r^3[/tex]
Where r is the radius of the sphere.
[tex]\rm V_c = V_s[/tex] (From the question)
[tex]\rm \pi R^2\frac{H}{3}=\rm \frac{4}{3} \pi r^3[/tex]
[tex]\rm \pi R^2\frac{96}{3}=\rm \frac{4}{3} \pi r^3[/tex] ( H = 96 units)
[tex]\rm 32R^2=\rm \frac{4}{3} r^3[/tex]
[tex]\rm 24R^2= r^3[/tex]
We are assuming that R = r
[tex]\rm 24r^2= r^3[/tex]
r = 24 units and
R = 24 units.
Thus, the values for the radius of the cone and the sphere is 24 units.
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What is the equation in standard form of the line which passes through (-2, 6) and has a slope of -1?
Answer:
x + y = 4
Step-by-step explanation:
To write the equation of the line use the point slope form. Then convert to the standard from. Begin by substituting m = -1 and (-2,6).
[tex]y - y_1 = m(x-x_1)\\y - 6 = -1(x --2)\\y - 6 = -1(x+2)\\y - 6 = -x -2\\x + y - 6 = -2\\x + y = 4[/tex]
Find the area and perimeter of triangle ABF with F(-3,0), A(1,3), and B(7,-5)
Answer:
Step-by-step explanation:
The area would be 25 square centimeter
find the measures of angle b
Answer:
142
Step-by-step explanation:
The line underneath the straight angle is a straight line, meaning it is 180 degrees. 180-38= 142
A straight line is 180 degrees.
180-38=142
142 degrees is the answer.
Rewrite the expression 5(10+12) using distributive property of multiplication over addition
Answer:
50+60=110
Step-by-step explanation:
multiply 10 by 5 and 12 by 5 to get 50 and 60 add them together to get 110.
What is the cosine of angle D?
Cos(x)=20/25
X=cos-1(20/25)
=36.86989765
=B
Lois and Clark own a company that sells wagons. The amount they pay each of their sales employees (in dollars) is given by the expression 12h+30w12h+30w12, h, plus, 30, w where hhh is the number of hours worked and www is the number of wagons sold.
What is the amount paid to an employee that works 666 hours and sells 333 wagons?
Answer:
The amount paid to an employee was 162Step-by-step explanation:
The expression 12h + 30w Identifies the amount paid to an employee.Let h represent hours and let w represent the total amount of g-wagons sold. Since the question explains that an employee works 6 hours and sells 3 wagons, put h as h = 6 and w as w = 3. We would end up getting this equation. 12h + 30w = 12(6) + 30(3).Now all you need to do is solve it.left side = 72right side = 9072 + 90 = 162How many apples can be purchased for $10
Answer:
Divide ten by the price of the apples.
A teacher had 54 pencils gave p pencils to each of his s students. How many pencils does he have left?
Answer:
[tex]54-(p*s)[/tex]
Step-by-step explanation:
we know that
To find out how many pencils the teacher has left, subtract the quantity of p*s from 54
so
[tex]54-(p*s)[/tex]
Answer:
54-(p times s)
Step-by-step explanation:
Complete the equation to represent each relationship. Then solve the equation. Drag and drop each term or number into the correct box to complete the equation and solve for x.
Twenty-eight less than 7 times a number is the same as 20 more than the number.
( "[ ]" Means empty space)
(Here are the numbers: 7, 8, x, 7x, 28, 20, -8)
The equation is [ ] - [ ] = [ ] + [ ].
The solution is: x = [ ]
28 less means subtract 28
7 times a number means7x
is means equals
20 more than a number means x +20
the equation is 7x-28 =x+20
to solve combine like terms
7x-x=20+28
6x=48 divide by 6 on both sides to isolate x
x=8
Answer: 28
Step-by-step explanation:
Yes
Use the properties of equality to find the value of x in this equation.
4(6x – 9.5) = 46
Answer:
X = 3.5
Step-by-step explanation:
First, we distribute the 4 inside of the parentheses.
4 * 6x = 24x
4 * -9.5 = -38
We now have 24x -38 = 46
Now, we will add 38 to each side to isolate the x.
24x - 38 = 46
+38 +38
We now have 24x = 84
Finally, we will divide each side by 24 to find out what x equals.
24x = 84
— —
24 24
We now have x = 3.5
So, our answer is x = 3.5
I hope I helped!
Let me know if you need anything else!
~ Zoe
Answer:
X = 3.5
Step-by-step explanation:
First, we distribute the 4 inside of the parentheses.
4 * 6x = 24x
4 * -9.5 = -38
We now have 24x -38 = 46
Now, we will add 38 to each side to isolate the x.
24x - 38 = 46
+38 +38
We now have 24x = 84
Finally, we will divide each side by 24 to find out what x equals.
24x = 84
— —
24 24
We now have x = 3.5
So, our answer is x = 3.5
Lucy and Ricky buy a home. They plan to make a down payment and carry an $82,500 mortgage. Closing costs are $2,000 and are added to the loan amount. What is the new amount being financed?
(A) 78,500
(B) 84,500
(C) 80,500
Answer:
B.) 84,500
Step-by-step explanation:
$82,500 is the morgage right now. but an additional $2,000 is added.
82,500 + 2,000 = 84,500
$84,500
Hoped this helped! Please mark as brainliest! thanks!
can someone plz help me out.....
Answer: The correct answer is 3
Step-by-step explanation:
4³ = 64
The way to check your work is to multiply 4 x 4 x 4:
16 x 4 = 64
It's just 64 = 4^3
4 * 4 * 4 = 64
just look at the question on the picture
Answer:
A = ½bh + lw
Step-by-step explanation:
Your composite figure is a triangle on top of a rectangle.
The formula for the area of a triangle is A = ½bh.
The formula for the area of a rectangle is A = lw.
The formula for the total area is
A = ½bh + lw.
What is the perimeter of the trapezoid with vertices Q(8, 8), R(14, 16), S(20, 16), and T(22, 8)? Round to the nearest hundredth, if necessary. units
Answer:
The perimeter of the trapezoid is [tex]38.25\ units[/tex]
Step-by-step explanation:
we know that
The perimeter of the trapezoid is the sum of its four side lengths
so
In this problem
[tex]P=QR+RS+ST+QT[/tex]
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have
[tex]Q(8, 8), R(14, 16), S(20, 16),T(22, 8)[/tex]
step 1
Find the distance QR
[tex]Q(8, 8), R(14, 16)[/tex]
substitute the values in the formula
[tex]d=\sqrt{(16-8)^{2}+(14-8)^{2}}[/tex]
[tex]d=\sqrt{(8)^{2}+(6)^{2}}[/tex]
[tex]d=\sqrt{100}[/tex]
[tex]QR=10\ units[/tex]
step 2
Find the distance RS
[tex]R(14, 16), S(20, 16)[/tex]
substitute the values in the formula
[tex]d=\sqrt{(16-16)^{2}+(20-14)^{2}}[/tex]
[tex]d=\sqrt{(0)^{2}+(6)^{2}}[/tex]
[tex]d=\sqrt{36}[/tex]
[tex]RS=6\ units[/tex]
step 3
Find the distance ST
[tex]S(20, 16),T(22, 8)[/tex]
substitute the values in the formula
[tex]d=\sqrt{(8-16)^{2}+(22-20)^{2}}[/tex]
[tex]d=\sqrt{(-8)^{2}+(2)^{2}}[/tex]
[tex]d=\sqrt{68}[/tex]
[tex]ST=8.25\ units[/tex]
step 4
Find the distance QT
[tex]Q(8, 8),T(22, 8)[/tex]
substitute the values in the formula
[tex]d=\sqrt{(8-8)^{2}+(22-8)^{2}}[/tex]
[tex]d=\sqrt{(0)^{2}+(14)^{2}}[/tex]
[tex]d=\sqrt{196}[/tex]
[tex]QT=14\ units[/tex]
step 5
Find the perimeter
[tex]P=10+6+8.25+14=38.25\ units[/tex]
What is the value of x enter your answer in the box
Answer:
x = 25Step-by-step explanation:
Use the Pythagorean theorem:
[tex]c^2=a^2+b^2[/tex]
a,b - legs
c - hypotenuse
We have c = x, a = 7 and b = 24. Substitute:
[tex]x^2=7^2+24^2\\\\x^2=49+576\\\\x^2=625\to x=\sqrt{625}\\\\x=25[/tex]
Which is the value of the equation?
Answer:
A+7
Step-by-step explanation:
The area of a triangle is 1,4440 cm^2. The base of the triangle is 5 times the height. What is the height of the triangle?
Answer:
h = 24 cm
Step-by-step explanation:
The formula for area of a triangle is
A = (1/2)bh where b is the base and h is the height.
We are told that the base is 5 times the height, this translates to
b = 5h, so we can rewrite our formula to
A = (1/2)(5h)(h) or
A = (1/2)5h²
We are given A = 1,440, so plug that in and solve for h...
1,440 = (1/2)5h²
2,880 = 5h² (multiply both sides by 2 to get rid of the fraction)
576 = h² (divide both sides by 5 to get the h value by itself)
24 = h (take the square root of both sides)
How many inches are in 35 feet?
Answer:
420 inches
Step-by-step explanation:
There are twleve inches in one foot.
(35) (12) = 420
Answer:
420 in.
Step-by-step explanation:
Going from a bigger unit to a smaller unit, you multiply 12 by 35 to get 420.
I am joyous to assist you anytime.
106,68 dm. = 35 ft. :]
I have a cucumber that is 3 inches long and another cucumber that is 5 inches long. If I cut the cucumbers into 3/8 in.thick slices how many slices will I have ?
Final answer:
You will have 8 slices from the 3-inch cucumber and 13 slices from the 5-inch cucumber.
Explanation:
To determine the number of slices you will have, you need to divide the length of each cucumber by the thickness of the slices. Let's start with the 3-inch cucumber:
3 inches / (3/8 inches) = 8 slices
Now let's calculate the slices for the 5-inch cucumber:
5 inches / (3/8 inches) = 13.33 slices
Since you cannot have a fraction of a slice, round down to the nearest whole number. Therefore, you will have 8 slices from the 3-inch cucumber and 13 slices from the 5-inch cucumber.
In the diagram,AB=10 AC=2 square root 10 what is the perimeter of triangle ABC ?
20 + 2 units square root 10 units
Marni and Mikela are playing a color-guessing game. Each player chooses two colors from a list of red (R), blue (B), green (G), purple (P), and yellow (Y). A player then has three chances to correctly guess both the colors that the other player chose. The simulation of Marni’s guesses about Mikela’s colors are shown in the table. If Mickela’s colors are red and green, what is the experimental probability that Marni’s guesses are correct? Write the answer as a fraction in simplest form.
trials
1 PRB 2 YBG 3 GPR 4 RYP 5 RYG 6 GYB 7 RGP 8 GPR 9 RPG 10 BGP
The answer should be 1/2.
Answer:
The answer is 1/2!
Step-by-step explanation:
Plz help me !!!!!!!!!!
Answer: a) 27
Step-by-step explanation:
[tex]81^{\frac{3}{4}}=(3^4)^{\frac{3}{4}}=3^{\frac{12}{4}}=3^3=\boxed{27}[/tex]
If the formula in the picture below were used to find the r-value of the following data, what would be the value of ¥?
Answer:
option C
ȳ = 9
Step-by-step explanation:
ȳ (yBar) is used to represent mean value of y
Mean, which is the average score of the population on a given variable
It is represented by = ( Σ Xi ) / N
There are two steps to calculate mean value
Add the numberssum of all numbers = 3 + 7 + 8 + 11 + 16
= 45
2. Divide by how number of ys (there are 5 numbers)
45 / 5 = 9
So ȳ = 9
Find the least common multiple of 6 , 2 and 9
Answer:
18
Step-by-step explanation:
The multiples of 6 are : 6, 12, 18, 24, 30, ......
The multiples of 2 are : 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ......
The multiples of 9 are : 9, 18, 27, 36, ......
The common multiple is 18
The least common multiple is 18