A square has a side length of 3 inches. What is the length of the diagonal distance across the square ?

Answer:

-8

Step-by-step explanation:

m∠3 + m∠5 = 180 (interior angles are supplementary)

-4x + 5 + (-13x + 39) = 180

-4x + 5 -13x +39 = 180

-17x = 180 - 5 - 39

-17x = 136

x = 136/(-17) = -8

Answer:

(x,y)→(x,−y)

Step-by-step explanation:

I did it before

Answer:

acute triangle

Step-by-step explanation:

If an angle measures less than 90 degrees it is an acute angle

A triangle with all acute angles is an acute triangle

Answer:

k=30

Step-by-step explanation:

The number of mice vary inversely with cats. This is written as:

[tex]Mice \propto \dfrac{1}{Cat} \\Mice = \dfrac{k}{Cat}[/tex]

When there are 3r-19 cats, there are 2r+1 mice

[tex]2r+1 = \dfrac{k}{3r-19}\\$Cross multiply$\\k=(3r-19)(2r+1)[/tex]

When there are 6r-27 mice, there are r-5 cats.

[tex]6r-27 = \dfrac{k}{r-5}\\$Cross multiply$\\k=(6r-27)(r-5)[/tex]

Taking the values of k above, we have:

[tex]k=(3r-19)(2r+1) =(6r-27)(r-5)\\(3r-19)(2r+1) =(6r-27)(r-5)\\6r^2+3r-38r-19=6r^2-30r-27r+135\\$Collect like terms\\6r^2-6r^2+3r+30r-38r+27r-19-135=0\\22r-154=0\\22r=154\\$Divide both sides by 22\\r=7[/tex]

Therefore:

[tex]k=(3r-19)(2r+1) \\=(3*7-19)(2*7+1)\\=(21-19)(14+1)\\=2*15\\k=30[/tex]

Answer:

5

Step-by-step explanation:

Let the number of the kitchen clock sold =a

Let the number of the cuckoo clock sold =b

Let the number of the two-foot high grandfather clocks sold =c

The new saleswoman sold at least two of each of the three models.

Therefore:

[tex]a\geq 2\\b \geq 2\\c \geq 2[/tex]

In all, she collected $300 from selling these models alone

17a+31b+61c=300

17(2)+31(2)+61(2)=218

300-218=82

Next, we try to express the remainder (82) in terms of 17, 31 and 61

82=17(3)+31

Therefore, she sold:

She sold 5 $17 clocks.

CHECK:

17(5)+31(3)+2(61)=$300

Answer:

10 pi

Step-by-step explanation:

25 pi

20 pi

10 pi

5 pi

C is the answer

The area of the shaded sector of the circle will be 10π units².

Area of a sector of a circle = θ/360 × πr², where r is the radius of the circle and θ is the central angle.

As per the question, QR = 5 and m∠RQS = 4π/5 = 144°.

As per the given question given data:

θ = 4π/5

r = QR = 5

Substitute the values in the formula to get:

Area of sector of a circle = 144/360 × π(5)²

Area of sector of a circle = 1/4 × π(25)

Apply the multiplication operation, and we get

Area of a sector of a circle = 10π units²

Thus, the area of the shaded sector of the circle is 10π units².

Learn more about the area of a sector here:

brainly.com/question/22972014

#SPJ2

The question seems to be incomplete the correct question would be:

In circle Q, QR = 5 and m∠RQS = 4π/5. Find the area of the shaded sector.

Express your answer as a fraction times pi.

Answer:

80 m

Step-by-step explanation:

La velocidad inicial de la pelota es 0 m/s.

La altura del árbol es s.

El tiempo necesario es de 4 segundos.

Podemos aplicar una de las ecuaciones de movimiento de Newton:

[tex]s = ut + \frac{1}{2}gt^2[/tex]

donde u = velocidad inicial

t = tiempo empleado

g = aceleración debido a la gravedad

Por lo tanto:

[tex]s = 0 * 4 + (1/2 * 10 * 4^2)\\\\s = 0 + 80 \\\\s = 80 m[/tex]

El árbol tiene 80 metros de altura.

Answer:

0.267[tex]mm^3[/tex]

Step-by-step explanation:

Radius of the Bubble = 0.7 mm

Volume of the bubble is given by the formula :

[tex]r=\sqrt[3]{\frac{3V}{4\pi } }[/tex]

Taking cube on both sides

[tex]V=\frac{4\pi\times r^3 }{3}\\\\ V=\frac{4\times3.14\times(0.7)^3}{3}\\\\V=\frac{12.56\times 0.064}{3}\\\\ V=\frac{0.804}{3}\\\\V=0.267mm^3[/tex]

Answer: AB=12

Los triangulos BCD y ADE son iguales por tener dos lados y el angulo comprendido respectivamente iguales. por tanto AE=DC=4

Luego AB = AE+EB = 4+8 = 12

Answer:

Step-by-step explanation:

Twins born  call A

single child born called B

twins in family history 1

twins not in family history 2

my new table

          1.                                         2

A     8/34=0.23 (23.52%)      26/34=0.7647 (76.47%)

B. 125/966=0.1293 (12.93%) 841/966=0.8706(87.06%)

I hope u understand my table

Answer:

What is 20 percent (calculated percentage %) of number 40? Answer: 8.

Step-by-step explanation:

happy to help ya:)

Answer: x² - x - 12

Step-by-step explanation: When multiplying two binomials together, we can use the F.O.I.L. method.

First, Outer, Inner, Last.

We take the product of the first terms which is x² plus the product of the outer terms which is -4x plus the product of the inner terms which is 3x plus the product of the last terms which is -12.

So we have x² - 4x + 3x - 12.

Simplifying from here by combing the middle terms, we have x² - x - 12.

Pay very close attention to your positives and negatives as you F.O.I.L. because this is the area where most mistakes occur.

Answer:

Hi there!

The correct answer is: 5

Step-by-step explanation:

Essentially they replace x with 14, so all you have to do is plug 14 into the equation. 14 multiplied by 1/2 is 7, because it's the same thing as 14 divided by 2. Then you minus 2 from 7, and you get 5.

Answer:

(x+y)^3

Step-by-step explanation:

125 is the third power of five and 216 is the third power of 6

so we can rewrite the expression as (x+y)^3

Answer:

[tex]y=-5/8x+6[/tex]

Step-by-step explanation:

[tex]m=\frac{7/2 - 11}{4--8}[/tex]

[tex]m=\frac{-15/2}{12}[/tex]

[tex]m=-5/8[/tex]

[tex]y=-5/8x+b[/tex]

[tex](-8,11)[/tex]

[tex]11=-5/8 \times -8+b[/tex]

[tex]b=11-(-5/8)(-8)[/tex]

[tex]b=6[/tex]

Answer:

square root of 26 (sorry couldn't get the symbol)

Step-by-step explanation:

C^2 = A^2 + B^2 (Pythagoras Theorem)

C^2 = 5^2 + 1^2

C^2 = 26

take square root of both sides

C =

[tex] \sqrt{26} [/tex]

Answer:

[tex]79213229.3 ft^3[/tex]

Step-by-step explanation:

The great pyramids pf Egypt are square based pyramids.

The volume of a square based pyramid is:

[tex]V = a^2h/3[/tex]

where a = length of square base

h = height of pyramid

The pyramid has a square base measured as 754 feet and a height of 418 feet. Its volume is:

[tex]V = 754^2 * 418 / 3\\\\V = 79213229.3 ft^3[/tex]

Answer:

16? maybe

Step-by-step explanation:

i justed counted from 9 to 25,l

Answer:

8 or 17

Step-by-step explanation:

The system of equations for this is:

x = 9 + y

x + y = 25

Find the value of y by plugging the first equation into the second.

9 + y + y = 25

9 + 2y = 25

2y = 16

y = 8

One of the numbers is 8.

OR

Find the value of x by plugging the value of y into one o the equations.

x = 9 + 8

x = 17

or

x + 8 = 25

x = 17  

One of the numbers is 17.

Answer:

12x^3-9x^2

Step-by-step explanation:

[tex]3x^2(4x-3)= \\\\3x^2(4x)+3x^2(-3)= \\\\12x^3-9x^2[/tex]

Hope this helps!

Answer:

a7=1458

Step-by-step explanation:

2; -6; 18... a geometric progression

a1=2; a2=-6; a3=18

r=a2/a1=-6/2

r= -3

a7=a1*r⁶

a7=2*(-3)⁶=2*729

a7=1458

Answer:

g= 1/2

Step-by-step explanation:

9+3.5g=11-0.5g

Add .5 g to each side

9+3.5g+.5g=11-0.5g+.5g

9+4g = 11

Subtract 9 from each side

9+4g-9 = 11-9

4g = 2

Divide by 4

4g/4 = 2/4

g= 1/2

Answer:

4 hours per book

Step-by-step explanation:

The unit rate per book can be found when the number of books read is 1.

To make 1/6 into 1, you need to multiply by 6, meaning that you have to multiply the time taken by 6 as well.

2/3*6=4 hours per book

Hope this helps!

Answer:

No.

[tex]\text{Average rate} = \dfrac{\text{Total distance}}{\text{Total time}} = \dfrac{r_{1}t_{1} + r_{2}t_{2}}{t_{1} + t_{2}}\\\\= \text{50.91 mi/h}[/tex]

Step-by-step explanation:

First leg:              d = r₁t₁

Second leg:        d = r₂t₂

                         r₁t₁ = r₂t₂

Total distance: 2d = r₁t₁ + r₂t₂

Total time:           t = t₁ + t₂

1. Equation for average rate

[tex]\text{Average rate} = \dfrac{\text{Total distance}}{\text{Total time}} = \dfrac{r_{1}t_{1} + r_{2}t_{2}}{t_{1} + t_{2}}[/tex]

2. Average rate

Since r₁t₁ = r₂t₂,

[tex]t_{1} = \dfrac{r_{2}t_{2}}{r_{1}} = \frac{40}{70}t_{2} = \frac{4}{7}t_{2}\\\\\text{Average rate} = \dfrac{2r_{2}t_{2}}{\frac{4}{7}t_{2} + t_{2}} = \dfrac{2 \times 40t_{2}}{\frac{4t_{2}+ 7t_{2}}{7}}= 80t_{2} \times\frac{7}{11t_{2}} = \dfrac{560}{11}\\\\= \textbf{50.91 mi/h}[/tex]

We cannot say truthfully that the average rate is 55 mi/h.

The average rate of a body is the total distance travelled divided by the total time.

The cheetah runs at an average rate of 50.91mph, not 55mph

Let

[tex]d \to[/tex] distance

[tex]r \to[/tex] average rate

[tex]t \to[/tex] time

Given that:

[tex]d = r_1t_1 = r_2t_2[/tex]

So, we have:

[tex]r_1 = 70[/tex]

[tex]r_2 = 40[/tex]

The average rate (r) is calculated as follows:

[tex]r = \frac{Total\ Distance (D)}{Total\ Time (T)}[/tex]

Where:

[tex]D=d + d[/tex]

[tex]D = r_1t_1 + r_2t_2[/tex]

and

[tex]T =t_1 + t_2[/tex]

So, the average rate is:

[tex]r =\frac{r_1t_1 + r_2t_2}{t_1 + t_2}[/tex]

Recall that:

[tex]D = r_1t_1 + r_2t_2[/tex]

[tex]r_1t_1 = r_2t_2[/tex]

Make [tex]t_2[/tex] the subject

[tex]t_2 = \frac{r_1t_1}{r_2}[/tex]

Substitute values for [tex]r_1[/tex] and [tex]r_2[/tex]

[tex]t_2 = \frac{70t_1}{40}[/tex]

So, we have:

[tex]r =\frac{r_1t_1 + r_2t_2}{t_1 + t_2}[/tex]

[tex]r = \frac{70t_1 + 40 \times \frac{70t_1}{40}}{t_1 + \frac{70t_1}{40}}[/tex]

[tex]r = \frac{70t_1 + 70t_1}{t_1 + \frac{70t_1}{40}}[/tex]

[tex]r = \frac{140t_1}{t_1 + \frac{70t_1}{40}}[/tex]

Factor out t1

[tex]r= \frac{140t_1}{t_1(1 + \frac{70}{40})}[/tex]

[tex]r = \frac{140}{(1 + \frac{70}{40})}[/tex]

[tex]r = \frac{140}{\frac{40+70}{40}}[/tex]

[tex]r= \frac{140}{\frac{110}{40}}[/tex]

Rewrite as:

[tex]r = \frac{140 \times 40}{110}[/tex]

[tex]r = 50.91mph[/tex]

Hence, the cheetah's average rate is 50.91mph, not 55mph

Read more about distance, average rates and time at:

https://brainly.com/question/22457482

Answer: **Incomplete question**

Step-by-step explanation: Your question is incomplete, and missing very important details. However I would attempt to use assumed values in place of the omitted ones so that after explaining, it would be pretty much easy to figure out the solution.

If Rahul was given a total of 32 questions and he has worked out for example 25% of them on Monday and then 50% of them on Tuesday, to find the number  of problems left, we would need to find the number of questions represented by the percentage indicated.

If he has worked out 25% of them on Monday, then that means he had done the following

Percentage done = 25% (or 25/100 which equals 0.25)

Number of problems solved = 32 * 25%

Number of problems solved = 32 * 0.25

Number of problems solved = 8

Further he solved 50% of them on Tuesday

Percentage done = 50% (or 50/100 which equals 0.50)

Number of problems solved = 32 * 50%

Number of problems solved = 32 * 0.5

Number of problems solved = 16

This means he has now solved a total of

8 + 16 = 24

If therefore he has solved 24 problems, then the number of problems left is derived simply as

Unsolved problems = 32 - 24

Unsolved problems = 8

Please remember that the use of 25% and 50% are simply assumptions in order to make explaining the solution easier. Please insert the correct values  of the percentage as appropriate.

Answer:

∠J and ∠K form a linear pair.

Step-by-step explanation:

If angles J and K are supplementary and adjacent, then they form what is known as a linear pair.

"Definition: Two angles that are adjacent (share a leg) and supplementary (add up to 180°)" -mathopenref

Hey there! :)

Answer:

(2, 3) and (-2, 11).

Step-by-step explanation:

To solve this system of equations, we can set both equations equal to each other:

x² -2x + 3 = -2x + 7

Combine like terms:

x² -4 = 0

Factor using difference of squares:

(x - 2)(x + 2) = 0

Therefore, x = 2 and -2. Plug both of these into an equation to solve for the 'y' value:

f(x) = -2(2) + 7

f(x) = -4 + 7

f(x) = 3

------------------

f(x) = -2(-2) + 7

f(x) = 4 + 7

f(x) = 11

Therefore, the two ordered pairs are (2, 3) and (-2, 11).

Answer:

c because the x value is equal to the y value

Step-by-step explanation:

Answer:

x=y

Step-by-step explanation:

They are both opposite each other.

Parallel to each other

Answer:

Step-by-step explanation:

We know that the permiter is defined as

[tex]P=L+S+M[/tex]

Where [tex]L[/tex] is the longest side, [tex]S[/tex] is the smallest and [tex]M[/tex] is the middle side.

If [tex]L=x[/tex] then, [tex]S=x-20[/tex], where we need to find an expression for [tex]M[/tex] using the law of cosines.

[tex]M^{2} =L^{2}+S^{2}-2 \times L \times S \times cos(60\°)\\M=\sqrt{x^{2}+(x-20)^{2}-x(x-20)}\\M=\sqrt{x^{2} +x^{2}-40x+400-x^{2}+20x}=\sqrt{x^{2}-20x+400}[/tex]

Replacing all expression, the perimeter is

[tex]P=x+x-20+\sqrt{x^{2}-20x+400}\\P=2x-20+\sqrt{x^{2}-20x+400}[/tex]

Using a calculator, the perimeter is 20 units centimeters.

Answer:

(2n + 1)[(2n + 1) � 1]

(2n + 1)(2n + 1 � 1)

(2n + 1)(2n), or 2n(2n + 1)

2n is an EVEN NUMBER, and adding 1 to an even number creates an ODD number

Therefore, 2n(2n+1)=EVEN NUMBER ODD NUMBER=EVEN NUMBER

Step-by-step explanation: