7. If the diagonals of a square measure 24
meters, what is the length of a side of the
square?

Step-by-step explanation:

There are 3 cubes in the solid's length, 2 in its width, and 3 in its height. Therefore, the number of cubes = length * width * height = 3*2*3 = 18

The volume of a small cube , for a length l, is l³. The length is (1/3)m, so the volume is (1/3)³ = 1/27 m³

volume of solid = number of cubes * area of each cube = 1/27 * 18 = 18/27 m³. This is because we have to figure out the volume of 18 cubes together, and we can just add each cube to the volume 18 times for our answer

Answer:

Step-by-step explanation:

We can prove ∠Q ≅ ∠U, by showing the triangles congruent.

Given that a pair of triangles, ΔSQR and ΔTUR, connected at the point R, in which QR ≅ RU, SR ≅ RT.

We need to prove that ∠Q ≅ ∠U,

So, to prove the same we will use the concept of congruent triangles, the type of triangles in their corresponding parts are congruent, by showing the triangles congruent we can prove ∠Q ≅ ∠U.

1) QR ≅ RU, SR ≅ RT (given)

2) ∠QRS ≅ ∠TRQ (vertical angles are congruent)

3) ΔSQR and ΔTUR (by SAS congruency rule)

4) ∠Q ≅ ∠U (CPCTC)

Hence proved.

Learn more about congruent triangles, click;

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#SPJ4

Step-by-step explanation:-

The given line is 3x + 4y - 12 = 0

=> 4y = -3x + 12 ....(i)

=> y = -3x/4 + 3,

therefore, the slope of the line (i) = -3/4.

From P(-1,-2), draw PN perpendicular to the given line. (see attachment)

As we know,, m2 = -1/m1

So, the slope of the line PN = 4/3

the equation of the line through P(-1,-2) and having a slope 4/3 is :-

= > y - (-2) = 4/3 * (x - (-1))

= > 3y + 6 = 4x + 4

= > 4x - 3y - 2 = 0....(ii)

which is the required equation of the perpendicular from P to the given line. To find the coordinates of N (the foot of perpendicular), solve (i) and (ii) simultaneously. Multiplying (i) by 3 and

(ii) by 4, and on adding, we get

= > 25x - 44 = 0

= > x = 44/25

Multiplying (i) by 4 and (ii) by 3, and on subtracting, we get :-

= > 25y - 42 = 0

= > y = 42/25

Hence, the coordinates of the foot of the perpendicular are (44/25 , 42/25)

(44/25 , 42/25)

these are the points

[tex]c = 15d[/tex]

Step-by-step explanation:

find the value of the constant of proportionality k

[tex]k = \frac{v}{d} [/tex]

c =total cost

d =days

Answer:

4 units

Step-by-step explanation:

(0, 0 ) and (4, 0 )

since the y- coordinates are equal  then the distance between the points is the difference of the x- coordinates, that is

| 4 - 0 | = | 4 | = 4 or

| 0 - 4 | = | - 4 | = | 4 | = 4

Answer: (a) 64°

(b) Yes, it is safe

Step-by-step explanation:

A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.

(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.

We solve the above question using the trigonometric function of Sine

sin θ = Opposite side/Hypotenuse sides

θ = Angle formed with the ground = ?

Opposite side = 27 ft

Hypotenuse side = 30 ft

Hence,

sin θ = 27 ft/30 ft

sin θ = 9/10 = 0.9

θ = arc sin (0.9)

θ = 64.158067237°

Approximately to the nearest whole number = 64°

(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?

From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°

Hence:

64° < 70°

Therefore, the ladder will be safe the way it is positioned.

Answer:

4

Step-by-step explanation:

The mode is the number that appears the most!!!!

Now lets solve :)

2, 2, 3, 3, 4, 4, 4, 4,

There are 2 2s.

There are 2 3s.

There are 4 4s.

The mode is 4!!! :)

Have an amazing day!!

Plese rate and mark brainliest!!

The mode of the data set is 4

The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. Other popular measures of central tendency include the mean, or the average of a set, and the median, the middle value in a set.

Therefore, the mode of the data set is 4

https://brainly.com/question/12516571

https://brainly.com/question/22739213

Answer:

There are two types of exponential functions: exponential growth and exponential decay. In the function f (x) = bx when b > 1, the function represents exponential growth.

Step-by-step explanation: Math websites man

Answer:

im not writing all that lol

Step-by-step explanation:

So 1 would be 100%, 10/10 and 0 would be, 0/10 and 0% so for 50% for example would be 5/10, 0.5 and so on..

then just think of things that have a 100% chance and all the other percentages... example The sun rising tomorrow. and no chance 0% example the school flying away

Answer:

x = 55

Step-by-step explanation:

the inscribed angle x is half the measure of its intercepted arc, that is

x = [tex]\frac{1}{2}[/tex] × 110 = 55

Answer: 768

Step-by-step explanation:

24 times 20 =480 dollars

16 x18=288

480+288= 768

so yea D IS THE ANSWER!!!

hope thats helps :)

Answer:

Step-by-step explanation:

Each card is sold by $3, the number of cards is c.

The total is 3c and it needs to be at most $50:

Is the correct inequality for this case

Let the no of cards be c

Now

The inequality is

Or

Answer:

a) -2 and 4

b) function 2

Step-by-step explanation:

a)

rate of change is rise over run: change in y / change in x.

function 1:

- i will use first 2 pairs of data

- change in y: 5 - 3 = 2

- change in x: -2 - (-1) = -1

-rate of change = 2/-1 = -2

function 2:

- same idea, but find two points on the graph!

- (0,4) and (-1,0) for example! pick easy points

- change in y is 4. chabge in x is 1

- rate of change is 4

b)

function b has greatest rate of change. 4 > -2

Answer:

  69.6 ft

Step-by-step explanation:

The arc length can be found as a fraction of the circumference. That fraction is the ratio of the central angle measure to the measure for the whole circle.

__

Central angle of remaining arc:

  360° -150° = 210°

Fraction of full circumference:

  210°/360° = 7/12

The circumference of the circle is ...

  C = 2πr = 2π(19 ft) = 38π ft.

Then the length of the remaining arc is ...

  (7/12)(38π) ft ≈ 69.6 ft

Step-by-step explanation:

Gradiant is nothing but the Slope of the lines

A) 2

B) -1

I hope it helped you

Answer: 6.25

Step-by-step explanation: Subtract 1hr 5mins from 7.30

Answer:

A. 3/20

Step-by-step explanation:

since there are 3 marbles, and 20 total marbles, you have a 3/20 chance of picking yellow

Considerando la estatura de Fernando, la longitud de su sombra y la distancia con respecto a la lámpara, la altura de la lámpara encendida es de 7.20 metros. (Opción correcta: A)

En la geometría Euclídea el concepto de proporcionalidad está asociado con el concepto de semejanza entre triángulos. Esta relación subyace en el hecho que si tenemos garantizado que existen un número suficiente y conocido de valores y características comunes entre los dos triángulos, entonces podemos determinar los valores faltantes.

En esta pregunta tenemos dos triángulos rectángulos que son semejantes, por ende, proporcionales. Por la definición de proporcionalidad derivamos la siguiente expresión para la altura de la lámpara:

h/H = x/X     (1)

Donde:

A continuación, reemplazamos las variables conocidas y determinamos la altura de la lámpara:

1.80/H = 2/8

H = 4 · (1.80 m)

H = 7.20 m

Considerando la estatura de Fernando, la longitud de su sombra y la distancia con respecto a la lámpara, la altura de la lámpara encendida es de 7.20 metros. (Opción correcta: A)

Para aprender más sobre triángulos semejantes, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/21667752

Answer:

t=2s

Step-by-step explanation:

This is saying that the turtles age is two times the stingrays age because no matter how old the stingray is, the turtle is 2 times older.

Answer: t=s+2

Step-by-step explanation:

The sea turtle is 2 years older than the stingray.

Sea turtle's age = 2 years + stingray's age.

t = s+2

Answer:

d ≤ -3

Step-by-step explanation:

Given that:

−13d + 6 ≤ 45

Solve:

Subtracting 6 from both sides

−13d + 6 ≤ 45

       -6    -6

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

−13d ≤  39

Multiply both sides by -1 which reverse the inequality

13d ≤ -39

Now divide both sides by 13

13d/13 ≤ -39/13

d ≤ -3

Thus the Answer is:

d ≤ -3

Kavinsky

Heyo!

DummySokka is here to help!!

Let's do this step-by-step explanation!

Let's solve your inequality step-by-step:

[tex]-13d+6[/tex] ≤ [tex]45[/tex]

Step 1: Subtract 6 from both sides:

[tex]-13d+6-6[/tex] ≤ [tex]45-6[/tex]

[tex]-13d[/tex] ≤ [tex]39[/tex]

Step 2: Divide both sides by -13

[tex]\frac{-13d}{-13}[/tex] ≤ [tex]\frac{39}{-13}[/tex]

[tex]d[/tex] ≥ [tex]-3[/tex]

Answer:

[tex]d[/tex] ≥ [tex]-3[/tex]

Hopefully, this helps you!!

DummySokka~

Answer:

0.267 square units (or 8/30 square units)

Step-by-step explanation:

width = 3 rectangles

length = 10 rectangles (left to right)

area = width * length = 30 rectangles

the striped rectangle is made up of 8 regular rectangles

thus, (area we want) / (total area) = 8/30 of the whole ≈ 0.267 of the whole

the whole is 1 square unit, so 0.267 of 1 square unit =  0.267 * 1 square unit = 0.267 square units

Answer:

Order your units;

1/6 = x/18

×18    ×18

18/6 = x

3 = x

He will be using 3 cups of orange juice.

Answer:

DURING A HOME #KACHA BADAM JAKE KAACHA BADAM HWADNA

Answer:

Step-by-step explanation:

17. Domain is all real numbers because the equation has a y-value for all x-values as far as we can see with the information given.

18. Range is 3< y <8, because the equation only has values for x where y is between those numbers.

19. Range is 3> y >-∞ (negative infinity) because the parabola's vertex has a y-coordinate of 3 and the parabola goes on forever in the negative direction (as seen by the arrows).

20. Domain is -∞ < x < 4 because the parabola's vertex has an x-coordinate of 4 and goes on forever in the negative x direction.

Hope this helps! :)