a rectangular field has sides with the length of 120 yards in 62 yards to the nearest tenth of a yard find the length of the diagonal of the field

Answers

Answer 1

The Pythagorean theorem is used for this
.. diagonal = √(120² +62²) = √18244 ≈ 135.1 . . . . yards

Related Questions

The area of the base of a rectangular prism is 18 cm2. The height of the prism is 9 1 2 cm. What is the volume of the prism?

Answers

The volume of the rectangular prism with a base area of 18 cm2 and height of 9 1/2 cm is calculated to be 171 cm3, using the formula Volume = area of base x height.

The volume of a rectangular prism is calculated by multiplying the area of the base by the height of the prism. In this case, the area of the base is given as 18 cm2, and the height is 9 1/2 cm, which can also be written as 9.5 cm for easier multiplication.

To find the volume, we use the formula: Volume = area of base * height. Substituting the known values, we get:

Volume = 18 cm2 * 9.5 cm

Volume = 171 cm3

Therefore, the volume of the rectangular prism is 171 cm3.

Determine the volume of a cylindrical bucket if the diameter is 8.5 in. and the height is 11.5 in.
A. 652.2 in3
B. 2608.9 in3
C. 306.9 in3
D. 882.4 in3

Answers

The answer is A 652.2 in3
Brainliest pls

We know that the volume,V of a cylinder is given by:

[tex] V=\pi r^2h [/tex]

where r is the radius, h is the height of the cylinder.

Now, it has been given to us that the diameter of the cylinder is 8.5 in. Therefore, the radius of the cylinder will be half it's diameter and will be, [tex] r=\frac{1}{2}\times 8.5=4.25 [/tex] in.

The height, h=11.5 inches

Therefore, applying the formula we will get:

Volume, V=[tex] \pi (4.25)^2(11.5)\approx652.57 in^3 [/tex]

Thus, out of the given options, Option A is the correct option.

1/4x+y=5 what is the slope

Answers

y=-1/4x+5
slope is -1/4
y=ax+b
y=-1/4x+5
a=-1/4 , so -1/4 is slope
b=5, so b is y-intercept

We can convert to slope-intercept form, and whatever number is the coefficient of x will be the slope.
We subtract by 1/4x on both sides and get y = -1/4x + 5. So, the slope is -1/4.
---
Hope this helps!

Triangle ABC and DEF are similar. AB=15 cm, BC=18 cm, and EF=6 cm. What is thr length of DE?

Answers

3 * EF = BC
so 3 * DE= AB
DE = AB / 3
= 15 / 3
= 5 cm

33 is the product of Jenny's height and 3

Answers

Jennys hight is 30, (33-3)

How many inches are in 8 feet

Answers

There are 96 inches in 8 feet.

Hope this helped!

There are 96 inches in 8 feet. 12(8)=96

what the answer subtitution of x=6+y and ×-4y=21

Answers

x= 6 + y
x - 4y= 21

The first equation is already solved for x. Take the value of x (6 + y) and substitute it for the x value in the second equation.

x - 4y= 21
(6 + y) - 4y= 21
combine like terms
6 - 3y= 21
subtract 6 from both sides
-3y= 15
divide both sides by -3
y= -5

Substitute the -5 for y in the equation to solve for x

x - 4y= 21
x - 4(-5)= 21
x + 20= 21
subtract 20 from both sides
x= 1

CHECK:
x= 1
y= -5

x= 6 + y
1= 6 + (-5)
1= 1

ANSWER: x= 1 and y= -5

Hope this helps! :)

x=1 y=-5 hope this helped

Help asap pleasee will give brainliest

Answers

x and 71 are complementary angles

Find the area of the triangle that has a base of 16 yd and a height of 9 yd

Answers

72 because it would be 9 times 16 divided by 2
72=(9x16)/2

The area of triangle can be found using the formula 1/2bh

b is the base and h is height.

1/2(16)(9)
1/2(144)
72.

The area is 72 yd²

Christopher’s back yard is in the shape of a trapezoid.The bases of his back yard are 30 and 40 feet long.The area of his back yard is 525 square feet.Write and solve an equation to find the height of Christopher’s back yard.

Answers

The height is 15 sqr. ft. the equation to solve this is:

2*525/30+40

HELP ME ASAP PLEASE!!!!!

Answers

The answer is D: between 10 and 11.
Hope I helped!

The answer is D.) Because the square root of 111 is 10.53565375 which is neither 10 or 11 but its between

Assume a and b are natural numbers. if a and b are two different primes, find GCD(a,b) and LCM(a,b).

Answers

Prime numbers are those numbers that have only 1 and the number itself as factors.

If a and b are prime numbers.

The greatest common divisor of a and b is 1.

The lowest common multiple of a and b is ab.

What is a prime number?

Prime numbers are those numbers that have only 1 and the number itself as factors.

2 is the only even prime number.

Examples:

2, 3, 5, 7, 11 are all prime numbers

We have,

Two natural numbers a and b.

a and b are prime numbers.

The greatest common divisor of a and b:

The prime numbers have 1 and the number itself as its factors.

So,
a x 1 = a

b x 1 = b

1 is the GCD of a and b.

The lowest common multiple of a and b:

a x b = ab

ab is the lowest common multiple of a and b.

Thus,

The greatest common divisor of a and b is 1.

The lowest common multiple of a and b is ab.

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The GCD of two different prime numbers is 1, and the LCM is the product of the two primes.

GCD(a,b) is the Greatest Common Divisor, which is the largest positive integer that divides both numbers without a remainder. For two different prime numbers a and b, their GCD will be 1 because there are no common factors other than 1. LCM(a,b) is the Least Common Multiple, which is the smallest multiple that is divisible by both numbers. For prime numbers a and b, their LCM will be the product of the two primes.

Natalia is drawing a rectangle. She wants the width to be at least 10 inches and the perimeter to be no more than 72 inches.
A.) write a system of inequalities that can be used to solve this problem.
B.) give a possible length and width for the rectangle.
C.) give a length and width that cannot be used for the rectangle.

Answers

A) Let's write equations with the given information. We will use L for length and W for width. Also, 2L+2W will represent the perimeter.

W >= 10
2L + 2W <= 72

B) To give a possible length and width, we don't need to solve the system. We can plug use numbers that will satisfy the equations above.

One possible solution would be W = 12 and L = 10. In this case, the width is greater than 10, and the perimeter is 44 which is less than 72.

C) One answer that would NOT work is W = 5 and L = 10 because width is less than 10.

Another example would be W = 20 and L = 18 because the perimeter would be greater than 72.

Final answer:

Natalia's problem involves creating a system of inequalities with limitations on width and perimeter. Possible rectangle dimensions follow this system, such as a width of 10 inches and a length of 26 inches. Dimensions that don't comply, like a width of 9 inches or a width of 10 inches with a length of 27 inches, are not feasible.

Explanation:

To address Natalia's rectangle problem, we need to create a system of inequalities based on her requirements for width and perimeter. Let's denote the width as w and the length as l. The inequalities should look like this:

w ≥ 10 (The width must be at least 10 inches)2l + 2w ≤ 72 (The perimeter must be no more than 72 inches)

Possible dimensions for Natalia's rectangle that satisfy these inequalities could be a width of 10 inches and a length of 26 inches. In this case, the perimeter would be 2(10) + 2(26) = 72 inches, which is the maximum allowed.

Impossible dimensions would include a width of 9 inches, as this is less than the minimum required width, or a width of 10 inches with a length of 27 inches, which would make the perimeter 2(10) + 2(27) = 74 inches, exceeding the maximum permitted perimeter.

which is a better buy on apples? 5lbs for $5.25 or 10lbs for $10.25

Answers

i think that it doesnt matter that they are the same

If LM=41-2x and NP=7x+5, find LM

Answers

Answer:
LM = 33 units

Explanation:
From the drawing:
LM = NP
41 - 2x = 7x + 5
41 - 5 = 7x + 2x
36 = 9x
x = 9

This means that:
LM = 41 - 2x
LM = 41 - 2(4)
LM = 33 units

Hope this helps :)

what is 1.8k - 5 lol help :)

Answers

1.8k = 1800
so 1800-5=1795

1.8k - 5 = 1795 because all your doing is taking 5 away from 1,800.

Brainliest please? I am trying to get my rank to Ace!

how do you multuply monominails (sorry if i spelled it wrong)
a^3 *v^4

Answers

The correct spelling is "monomials"
mono = one
nomial = name
so monomial translates to "one name"

As for the actual question of multiplying monomials, there isn't anything we can do here. The reason why is because the bases 'a' and 'v' are different. If they were both the same letter, then we'd be able to add the exponents. However that is not the case here. So we'd just leave it as a^3*v^4

a^3 * v^4 = (a^3)(v^4) which is your answer

If both terms had the same base (ex. were both a), then we could add the exponents and have a^7

in a certainin linear pair, one angle measures three less than twice as much as the other. choose the diagram that you would draw to represent this linear pair.

Answers

from the 2 angles
one angle - x°
other angle - (2x - 3)°
diagrams A and D are wrong as they show that the angles sum up to 90°, whereas in linear angles the adjacent angles should sum up to a straight line that's 180°
diagram C is wrong as they haven't depicted the angles correctly.
diagram B
x + 2x-3 = 180
3x = 183
x = 61
other angle 61*2 - 3 = 119
this is the correct diagram as the angles in the diagram look simiar to the angles calculated.

C is correct B is wrong

Is it 2.20? Because if the square root is 2.23 then you’d find the value of the nearest hundredth?

Answers

When you round a number, you look at the size of the number before it. In this case, you are rounding the hundredths place, so you will look at the size of the thousandths place.
The square root of 5 is approximately 2.236
You want to find the hundredths place, so you'll need to look at the thousandths place.
The thousandths place is 6, which is more than 5, so you will round 2.236 up to 2.24

The square root of 5 to the nearest hundredth is 2.24

Hope this helps =)

The correct answer is 2.24

what is the volume of a rectangular prism with a base area of 32 cm and a height 6 cm

Answers

Volume = base area x height
Volume = 32 x 6
Volume = 192cm³

------------------------------------------
Answer: 192cm³
------------------------------------------

The volume of a rectangular prism with a base area of 32 cm and a height 6 cm is 192cm³

What is Three dimensional shape?

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

A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases.

We need to find the volume of a rectangular prism with a base area of 32 cm and a height 6 cm

Volume of rectangular prism is base area times of height

Base area = Thirty two =32 cm²

Height=6 cm

Volume of rectangular prism=32×6

=192cm³

Volume of a rectangular prism with a base area of 32 cm and a height 6 cm is 192cm³

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Edwin needs to buy a car, a truck, and a motorcycle for his shipping business. He wants the car to be red or yellow; the truck to be black, white, or silver; and the motorcycle to be green, blue, or orange.

How many different combinations of vehicles does Edwin have to choose from?

Answers

We can solve problems like this using multiplication rules. Since the order of colors and combinations does not matter, we can multiply all values in any order we so choose. In this case, our values are colors and vehicles:

Car: Red, Yellow
Truck: Black, White, Silver
Motorcycle: Green, Blue, Orange

We have 2 options with a car, 3 options with a truck, and 3 options with a motorcycle. Since he wants one of each, we will multiply all of the color options together:

2 x 3 x 3

= 18

Edwin has 18 different combination of vehicles to choose from.

Which unit should be used when measuring the length of a state border?

A.
centimeter

B.
kilometer

C.
meter

Answers

Hey there!

A state border is thousands of miles long (some of them). Meters would be too small of a measurement. Centimeters is even smaller. So the answer is B. Because this uses the least amount of numbers.

I hope this helps!

The answer is b. kilometer

Hope this helps :)

Find the coordinates of the circumcenter for ∆DEF with coordinates D(1,3) E (8,3) and F(1,-5). Show your work.

Answers

we know that

The triangle is right-angled with the legs DE (horizontal) and DF (vertical).

see the attached figure

Hence
the circumcenter is the mid-point of the hypotenuse EF,
point E (8,3) point F(1,-5)
Fin the mid-point

Xm=(8+1)/2----------> Xm=4.5
Ym=(-5+3)/2----------> Xm=-1
the mid-point is (4.5,-1)

the answer is
the circumcenter is the point (4.5,-1)

ANSWER

The circumcenter of triangle DEF has coordinates [tex](4.5,-1)[/tex]

EXPLANATION

The circumcenter of triangle DEF is the point where all the three perpendicular bisectors of the three sides of the triangle intersect.

Let us find the perpendicular bisector of any two sides, because the third one will also meet these two perpendicular bisectors at the same point.

The perpendicular bisector of ED passes through the midpoint of the line connecting D(1,3) and E(8,3).

We must therefore find the midpoint to obtain,

[tex]N=(\frac{1+8}{2},\frac{3+3}{2})=(4.5,3)[/tex]

The slope of ED is

[tex]n=\frac{3-3}{8-1}=0[/tex].

The slope of the perpendicular bisector is the negative reciprocal of the slope of ED

[tex]slope=-\frac{1}{0}[/tex] which undefined.

The equation of a line that has an undefined slope is given by

[tex]x=x_1[/tex].

Therefore the equation of the perpendicular bisector of ED is [tex]x=4.5--(1)[/tex]

We must also find the equation of the perpendicular bisector of DF.

The midpoint of D(1,3) and F(1,-5) is [tex]M=(\frac{1+1}{2}, \frac{3+-5}{2})=(1,-1)[/tex]

The slope of DF is

[tex]m=\frac{-5-3}{1-1} =\frac{-8}{0}[/tex] this is an undefined slope but let us keep it like this for now.

The perpendicular bisector will have a slope that is the negative reciprocal of this undefined slope

[tex]slope=-\frac{1}{\frac{-8}{0}}= \frac{0}{8}=0[/tex]. This means that the slope is parallel to the x-axis.

The equation of lines that are parallel to the x-axis is given by the formula,

[tex]y=y_1[/tex].

Therefore the equation of the perpendicular bisector is [tex]y=-1--(2)[/tex].

The perpendicular bisectors will intersect at, [tex](4.5,-1)[/tex]

Hence the circumcenter is [tex](4.5,-1)[/tex]

your dog's water bowl is 3/4 full after taking a drink the water bowl is 1/3 foot what fraction of the ball did your dog drink

Answers

5/12 this is easy plz hit the thanks button

write two division equations for 15 times 2/5= 6

Answers

Two division equations:
6 divided by 2/5 = 15.
6 divided by 15 = 2/5.

Just to the opposite of multiplication.

The two division equations for 15 times 2/5 = 6 are 15÷(5/2) = 6 and

15 = (5/2)(6) + 0.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

We know, N = DQ + R.

First type,

15×(2/5) = 6.

15÷(5/2) = 6.

Second type,

N = DQ + R.

15÷(5/2) = 6.

15 = (5/2)(6) + 0.

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Expand. Your answer should be a polynomial in standard form. (4−7y)(7+4y)

Answers

You have to distribute the (4-7y) to (7+4y). After distributing, you get the answer: -28y^2-33y+28

Final answer:

To expand (4−7y)(7+4y), apply the FOIL method to get the expanded form: 28 + 16y - 49y - 28y². Combine like terms to get the standard form: -28y² - 33y + 28.

Explanation:

To expand the given expression (4−7y)(7+4y), we need to apply the distributive property (also known as the FOIL method in this case, which stands for First, Outer, Inner, Last):

First: Multiply the first terms in each binomial: 4 × 7 = 28.Outer: Multiply the outer terms: 4 × 4y = 16y.Inner: Multiply the inner terms: -7y × 7 = -49y.Last: Multiply the last terms: -7y × 4y = -28y².

Combine the middle terms (16y and -49y) and arrange the polynomial in standard form, which is ordering terms from highest to lowest degree:

Expanded form: 28 + 16y - 49y - 28y²

Combine like terms: 28 - 33y - 28y²

Standard form: -28y² - 33y + 28

Yasmine needs to create invitations for the party. She has 3/4 of an hour to make the invitations. It takes her 1/12 of an hour to make each card. How many invitations can Yasmine create?

Answers

3/4 of an hour is 45 minutes, and 1/12 of an hour is 5 minutes.
5 * 9 = 45
So the total amount of cards she can make is nine cards.

Maybe I'm wrong but i hope it helps

It is found that Yasmine can create 9 cards.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that Yasmine needs to create invitations for the party. She has ¾ of an hour to make the invitations. It will takes her 1/12 of an hour to make each card.

Since Yasmine takes 1/12 hour create number of cards = 1

Yasmine takes 1 hour to create number of cards = 1 x 12/1 = 12

Yasmine takes 3/4 hour to create number of cards = 12 x 3/4 = 9

Therefore, It is found that Yasmine can create 9 cards.

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What is 860,693 round to the nearest thousand

Answers

That would be 861,000

Hi!

To round something to the nearest number place (e.g. tens, hundreds, thousands) you need to first identify the correct place with your problem 860,693
^
the thousands place is right here

To round it you need to take the number before it 860,693 and see if it
^
which is here
greater than or less than 5. If it is greater than 5 then you round up, if it is less than 5 then you round down.

So your answer is 861,000 because you round up.

Frank averages 3 strikes for every 10 frames that he bowls. If he bowled 42 strikes in a season, how many frames did frank bowl?

A. 126 frames
B. 140 frames
C. 156 frames
D. 164 frames

Answers

For this case we can make the following rule of three:
3 strikes ---------> 10 frames
42 strikes -------> x
From here, we clear the value of x.
We have then:
[tex]x = (42/3) * (10) x = 140 frames[/tex]
Answer:
frank did bowl about:
B. 140 frames

how do you find a complementary and supplementary angles

Answers

Complementary angles add up to 90
Supplementary angles add up to 180

12 - Complement - 78
12 - Supplement - 168

45 - Complement - 45
45 - Supplement - 135

83 - Complement - 7
83 - Supplement - 97

63 - Complement - 27
63 - Supplement - 117

4 - Complement - 86
4 - Supplement - 176

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