Solve the system of linear equations.

x-y=5
-x+y=5

Is the answer H, I, J, or K

H. infinitely many I. no solution J. (0,5) K. (5,0)

Answer:

Option F. [tex]200.96\ ft[/tex]

Step-by-step explanation:

we know that

The circumference of a circle is equal to

[tex]C=\pi D[/tex]

in this problem

[tex]D=64\ ft[/tex]

substitute

[tex]C=\pi (64)=64\pi\ ft[/tex] -----> exact value of the circumference

Find the approximate value of the circumference

assume

[tex]\pi=3.14[/tex]

[tex]64\pi\ ft=64(3.14)=200.96\ ft[/tex]

The correct answer is option F. The measurement is closest to the circumference of the base of the observatory is 200.96 ft.

To find the circumference of the base of the observatory, we use the formula for the circumference of a circle, which is [tex]\( C = \pi \times d \)[/tex], where [tex]\( C \)[/tex] is the circumference and [tex]\( d \)[/tex] is the diameter of the circle.

Given that the diameter of the floor of the observatory is 64 feet, we can plug this value into the formula:

[tex]\( C = \pi \times 64 \) feet[/tex]

Using the approximation [tex]\( \pi \approx 3.14159 \)[/tex], we calculate the circumference as follows:

[tex]\( C \approx 3.14159 \times 64 \)[/tex] feet,

[tex]\( C \approx 200.96 \)[/tex] feet.

The complete question is:

An observatory is shaped like a cylinder standing on one of its bases with a dome on top. The diameter of the floor of the observatory is 64 feet, as shown in the diagram.

Which measurement is closest to the circumference of the base of the observatory in feet?

F 200.96 ft

G 3,215.36 ft

H 100.48 ft

J 401.92 ft

Answer:

sqrt(50)

Step-by-step explanation:

Since it is a right triangle, we can apply the Pythagorem Theorem.

a^2 + b^2 = c^2

25 + 25 = c^2

50 = c^2

c = sqrt(50)

The length of the diagonal of the square is 5 [tex]\sqrt{2[/tex]

The length of the diagonal of a square is equal to the square root of 2 times the length of a side. In this case, the side length is 5, so the diagonal of the square is 5√2

Let's break down the steps to find the square root of 50:

1. **Given**: We have a right triangle with side lengths:

 [tex]- \(a = 25\)\\ - \(b = 25\)2. Apply the Pythagorean Theorem: \[a^2 + b^2 = c^2\] \[25^2 + 25^2 = c^2\] \[50 = c^2\]3. Solve for \(c\): \[c = \sqrt{50}\]4. Calculate the square root of 50: \[c \approx 7.07\][/tex]

Therefore, the length of the hypotenuse (\(c\)) in this right triangle is approximately 7.07 units

​

.

Answer:

Step-by-step explanation:

Better write, "Solve '4 is to 3 as x is to 20' for x."

x = 80/3

Writing out this equation of ratios, we get:

 4        x

------ = -----

  3       20

Cross multiplication here yields:

3x = 80, and then x = 80/3.

To solve this proportion problem, set up the equation 4/3 = x/20. Cross multiply and solve for x to get x = 80/3.

This is a proportion problem. We can set up the equation:

4/3 = x/20

To solve for x, we can cross multiply:

4 * 20 = 3 * x

80 = 3x

Divide both sides by 3 to solve for x:

x = 80/3

https://brainly.com/question/32581317

#SPJ3

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.

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.

Answer:

-2x^2 - 2

Step-by-step explanation:

(6x^2 + 3) - (5 + 8x^2)

-2x^2 + 3 - 5

-2x^2 - 2

Answer:

Factoring  x=1 x=-5

Step-by-step explanation:

I would factor the equation

-1 *6 = -6

-1+6 =5

(x-1) (x+5) =0

Using the zero product property

x-1 =0    x+5 =0

x=1   x=-5

Answer:

Yellow: 50

Red: 25

Step-by-step explanation:

5:10

5 times 5 = 25

10 times 5 = 50

Answer: third option.

Step-by-step explanation:

By definition, translation is transformation in which you move the shape.

Then, you know that the rectangle on a coordinate plane is translated 5 units up and 3 units to the left.

Therefore, you must add 5 units to each y-coordinate and subtract 3 units to each x-coordinate.

So, keeping the above on mind, you can conclude that the rule that describe this translation is the shown below:

[tex](x,y)[/tex]→[tex](x-3,\ y+5)[/tex]

Answer:

$4,000

Step-by-step explanation:

He makes a flat rate of $900, plus 10% on sales over $5,000

He sold $36,000, so he gets paid on $36,000 - $5,000 = $31,000 of those sales.  

10% of $31,000 is

$31,000(0.10) = $3,100

He made $900 + $3,100 = $4,000

Answer:

A

Step-by-step explanation:

sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{7}{17.46}[/tex] ≈ 0.40 → A

Answer:

Step-by-step explanation:

its B! Hope this helps

The answer is B.

Hope this helps.

Answer:

Part a) The total volume is [tex]98\ ft^{3}[/tex]

Part b) [tex]84\ ft^{3}[/tex]

Step-by-step explanation:

Part a)

Find the total volume

we know that

The volume of a rectangular prism is equal to

[tex]V=LWH[/tex]

we have

[tex]L=3\frac{1}{2}\ ft=\frac{3*2+1}{2}=\frac{7}{2}\ ft[/tex]

[tex]W=3\frac{1}{2}\ ft=\frac{3*2+1}{2}=\frac{7}{2}\ ft[/tex]

[tex]H=8\ ft[/tex]

substitute in the formula

[tex]V=(\frac{7}{2})(\frac{7}{2})(8)=98\ ft^{3}[/tex]

Part b) If they are only going to fill the dunking booth 6/7 full, how many cubic feet of water will they need?

Multiply the total volume by 6/7

so

[tex]98(6/7)=84\ ft^{3}[/tex]

well, this is simple subtraction as it is! 12-5= 7 so 7 for animal. 14-5= 9 so 9 for flower. 9+7= 16! so your final answer is, 16.

Answer:

The fraction of her stickers that are not animal or flower is [tex]\frac{9}{24}[/tex]

Step-by-step explanation:

Topic: Fractions

Let A represent the fraction of stickers that are animals

Let S represent the remaining stickers including the flower stickers

Given

A = [tex]\frac{5}{12}[/tex]

To get the fraction of stickers that are not animal or flower, the summation of the fraction must be equal to 1.

Mathematically, A + S = 1;

By Substitution, A + S = 1 becomes

[tex]\frac{5}{12} + S = 1[/tex] ------ Collect like terms

[tex]S = 1 - \frac{5}{12}[/tex]

[tex]S = \frac{12 - 5}{12}[/tex]

[tex]S = \frac{7}{12}[/tex]

Hence, the fraction of her stickers that are not animal is [tex]\frac{7}{12}[/tex]

From the question, we have that [tex]\frac{5}{14}[/tex] of the remainder are flower stickers.

Let F = Flower Stickers

F = [tex]\frac{5}{14}[/tex] * S

F = [tex]\frac{5}{14}[/tex] * [tex]\frac{7}{12}[/tex]

F = [tex]\frac{5}{2}[/tex] * [tex]\frac{1}{12}[/tex]

F = [tex]\frac{5}{24}[/tex]

To get the fraction of stickers that are not animal or flower, the summation of the fraction must be equal to 1.

Mathematically, A + F + R= 1;

R = 1 - A - F

Where R represent the fraction of stickers that are not animal or flower

[tex]R = 1 - \frac{5}{12} - \frac{5}{24}[/tex]

[tex]R = \frac{24 - 10 - 5}{24}[/tex]

[tex]R = \frac{9}{24}[/tex]

Hence, the fraction of her stickers that are not animal or flower is [tex]\frac{9}{24}[/tex]

Answer:

A. 120(3)t = 3,240; t = 3

Step-by-step explanation:

We are given that enrollment capacity for first year = 120

The school plans to triple the capacity every year.

Assuming t to be the number of years, the capacity for every t year will be [tex]3^t[/tex].

This is expressed by the equation [tex]120(3)^t = 3240[/tex]

Substituting t =3 in the above equation to get:

[tex]120(3)^3 = 120\times 27=[/tex] 3240

So the equation is true when t = 3.

Therefore, the correct answer option is A. 120(3)t = 3,240; t = 3.

Answer: the one your looking for is A

Answer:

Step-by-step explanation:

[tex]3x^2-9x-12=0\qquad\text{divide both sides by 3}\\\\\dfrac{3x^2}{3}-\dfrac{9x}{3}-\dfrac{12}{3}=\dfrac{0}{3}\\\\x^2-3x-4=0\\\\x^2+x-4x-4=0\\\\x(x+1)-4(x+1)=0\\\\(x+1)(x-4)=0\iff x+1=0\ \vee\ x-4=0\\\\x+1=0\qquad\text{subtract 1 from both sides}\\x=-1\\\\x-4=0\qquad\text{add 4 to both sides}\\x=4[/tex]

Answer:

Smaller x = -1

Larger x = 4

Step-by-step explanation:

Do a box and split it into four then on 1/4 do 70, 1/4 do 6 then on the top side do 20 and 4 and multiply

Answer:

∠1 - 40°

Step-by-step explanation:

∠1 - 40°

b/c it's a right triangle and we have two angles given, 50° and 90°. Add them and subtract by 180° and get 40°.

∠2 - 140°

b/c an exterior (outside) angle is equal to the two most isolated / farthest angles added. The two most is angles are 105° and 35°, add them and get 140°.

∠3 - 40°

b/c ∠'s 1 and 3 are vertical angles meaning they're equal so since ∠1 is 40°, so is ∠3.

∠4 -

b/c ∠' s 2 and 4 are vertical angles meaning they're equal so since ∠2 is 140°, so is ∠4.

∠5 - 35°

b/c we have two angles, 105° and 40°. Add them and subtract by 180° and get 35°.

~~

I hope that helps you out!!

The measure of angle 5 is 72°.

An angle is the formed when two straight lines meet at one point, it is denoted by θ.

Given that,

Lines m and n are parallel,

Also, value of ∠2 = 40°, ∠3 = 68°

First determine the value of angle 5 First determine the value of angle 1,

Since, angle of a line = 180°

∠1 + ∠2 + ∠3 = 180°

∠1 + 40 + 68 = 180

∠1 + 108 = 180

∠1 = 72

Since, lines m and n are parallel,

∠1 = ∠5

∠5 = 72°

So, the value of angle 5 is 72°.

To learn more about Angle on:

https://brainly.com/question/28451077

#SPJ2

Answer: A WEAK NEGATIVE CORRELATION

Step-by-step explanation:

TOOK THE TEST

Answer:

The answer is probably E (placebos)

Step-by-step explanation:

Because the sugar tablets will do nothing to the patient, the reasearcher wants to see how the patient will act thinking that they are being treated with medication, when infact it is just a sugar tablet, he is trying to find out the psychological effect it will have on the patient, so the answer is E.

The sugar tablets devoid of any medical effects are most likely used as placebos in medical research. They serve as a control measure in drug trials to ensure any observed changes are attributed to the medication being tested and not from biases or expectations.

In the field of medical research, sugar tablets without any medical effects are likely used as placebos. Placebos are administered as control measures in experimental studies to ensure that any observed effects can be attributed to the medication being tested, rather than participant expectations or experimenter bias. For instance, in a drug trial, one group (the experimental group) receives the medication, while another group (the control group) receives a placebo, in this case, a sugar tablet. If the experimental group shows different results as compared to the control group, it can be deduced the differences are likely due to the drug itself. This process helps to maintain the integrity and credibility of medical research.

https://brainly.com/question/33600640

#SPJ11

Answer: 2.35 square miles.

Step-by-step explanation:

To solve this exercise you must apply the formula for calculte the area of a sector in a circle, which is shown below:

[tex]A=r^2\pi(\frac{C}{360})[/tex]

Where C is the central angle in degrees and r is the radius.

Therefore, knowing that:

[tex]C=30\°\\r=\frac{6mi}{2}=3mi[/tex]

When you substitute values, you obtain the following result:

[tex]A=(3mi)^2\pi(\frac{30\°}{360})[/tex]

[tex]A=2.35mi^2[/tex]

Answer:

Area of sector = 2.355 miles²

Step-by-step explanation:

Formula:

Area of circle = πr²

Where r is the radius

Area of sector = πr²(C/360)

Where C is the angle of sector

It is given that radius of circle is 6 miles

To find the are of circle

Here diameter = 6 miles,

radius r = diameter/2 = 3 miles

Area = πr² = 3.14 * 3² = 28.26 miles²

To find area of sector

Here r = 3 and C = 30°

Area of sector = πr²(C/360) = 28.26*(30/360)

= 2.355 miles²

Answer:

a^2 + b^2 = c^2 so

10^2 + 12^2 = Distance

100 + 144 = C^2

15.62 ft=C or the distance of slide

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

i did the test

the answer is 1 / 12 I got this because I know that 1/2 equals a half so half of 12 is 6 so 6/12 is simply 1/2

Answer:

[tex]x=\frac{1}{12}[/tex]

Step-by-step explanation:

Let the unknown number be [tex]x[/tex].

The given equation then becomes;

[tex]\frac{5}{12} +x=\frac{1}{2}[/tex]

Group similar terms

[tex]x=\frac{1}{2}-\frac{5}{12}[/tex]

Collect the LCM on the Right Hand Side.

[tex]x=\frac{6-5}{12}[/tex]

This implies that;

[tex]x=\frac{1}{12}[/tex]

Answer:

It is the Rectangular Prism.

Step-by-step explanation:

Sry, I don't have enough time to write out an explanation. Hope the answer helped!

Answer:

the cylinder container has the greatest surface area.

Step-by-step explanation:

The volume of cone is calculated by [tex]v=\frac{1}{3}\times\pi\times r^{2}\times h[/tex]

The volume of cylinder is calculated by [tex]v=\pi\times r^{2}\times h[/tex]

The volume of square pyramid is calculated by [tex]v=\pi\times r^{2}\times h[/tex]

The volume of rectangular prism is calculated by [tex]v=\frac{1}{3}\times B\times h[/tex]

The radius of cone is [tex]\frac{6}{3}[/tex]=[tex]2in[/tex], and slant height is 10 in.

height is calculated as h² = l²- r²

h² = l²- r²

h² = 10²- 3²

h² = 100- 9

h² =91

h= 9.54

The volume of cone is  [tex]=\frac{1}{3}\times 3.14\times 3^{2}\times 9.54[/tex]

[tex]=\frac{1}{3}\times 3.14\times 9\times 9.54[/tex]

v=89.8668

The volume of cylinder is [tex]=3.14\times 3^{2}\times 10[/tex]

[tex]=3.14\times9\times 10[/tex]

v=282.6

The volume of square pyramid

The height of pyramid is calculated as h² = l²- r²

h² = 10²- 3²

h² = 100- 9

h² =91

h= 9.54

[tex]v=3.14\times 3^{2}\times 9.54[/tex]

[tex]v=3.14\times 9\times 9.54[/tex]

[tex]v=269.60[/tex]

The volume of rectangular prism[tex]v=\frac{1}{3}\times 6\times 10[/tex]

[tex]v=20[/tex]

Hence, the cylinder container has the greatest surface area.

Answer:

[tex]\frac{50}{113}[/tex]

Step-by-step explanation:

The ratio is simply the division of one by another (and simplification).

Hence, the ratio of production of the first line to the second line is 1250 divided by 2825. So,

Ratio = [tex]\frac{1250}{2825}=\frac{50}{113}[/tex]

Answer:

[tex]\frac{50}{113}[/tex] or [tex]0.442[/tex]

Step-by-step explanation:

We are given that a plant runs two assembly lines, the first one produces 1,250 units a day while the second produces 2,825 units a day.

We are to find the ratio of production of the first line to the second line.

To find this production ratio, we would just simply divide the the production unit of first line with the production unit of the second line.

Ratio of production of the first line to the second line = [tex]\frac{1250}{2825}[/tex] = [tex]\frac{50}{113}[/tex] or [tex]0.442[/tex]

the answer to “1-1” is 0

Answer:

Yes. 1-1=0

Step-by-step explanation:

The steps are:

Step 1: Hold 1 finger up.

Step 2: Put that one finger down and that's what 1-1 is.

Hope this helps a LOT.

Answer:

4+3*x=35

Step-by-step explanation:

lets solve using our equation:

4+3=7

7x=35

7x/7=35/7

x=5

Hope this helps pl vote my answer the brainiest as i want to lvl up!

Answer:

If we consider real numbers, there is no solution.

If we take into account imaginary numbers, there are 2 solutions. [tex]x=8i, -8i[/tex]

Step-by-step explanation:

We can take 64 to the other side and then take the square root.

Thus, we have:

[tex]x^2+64=0\\x^2=-64\\x=\sqrt{-64}[/tex]

We CANNOT take the square root of a negative number, so there is no solution.

BUT, if we take into account Imaginary Numbers, we can solve:

[tex]x=\sqrt{-64} \\x=\sqrt{(-1)(64)} \\x=\sqrt{-1} \sqrt{64} \\x=8i[/tex]

Where [tex]\sqrt{-1} =i[/tex]

AND, we can take the positive and negative versions of 8i, since squaring would take it back to original.

So the answer would be 8i and -8i

Answer:

So the answer would be 8i and -8i

[tex]\bold{Hey\ there!} \\ \bold{\ Assoviative \ property\ looks\ looks\ like\ this:(2+3)+4;2+(3+4)}\\ \bold{\ Commutative\ property\ looks\ like\ this:b+c;c+b} \\ \bold{\ Distributive\ property\ looks\ like\ this:a(b+c);a(b)+a(c)}\\ \bold{5(3x+4)=15x+20}\\ \\ \bold{5(3x))=15x} \\ \bold{5(4)=20} \\ \\ \bold{Answer:distributive\ property}\checkmark[/tex]

[tex]\bold{Reason:\ because\ it\ almost\ similar\ to\ the\ example\ shown\ above\ as\ to\ how\ solve\ it!} \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\\frak{LoveYourselfFirst:)}[/tex]

The cross section makes a circle.

The area of a circle is PI x r^2 where r is 1/2 the diameter.

10m / 2 = 5 m

Area = 3.14 x 5^2

Area = 3.14 x 25 = 78.5 square m.