Determinaţi lungimea diagonalei unui pătrat cu latura de 6 cm

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

Step 1: Subtract 7x from both sides.

8x−8−7x=7x−7x

x−8=0

Step 2: Add 8 to both sides.

x−8+8=0+8

x=8

HGD

-ghost

answer:

Max =$131,250

Sherry=$140,000

Duane=$78,750

Step-by-step explanation:

Max will receive 3/8 ×$350,000=$131,250

Sherry will receive 2/5 × $350,000=$140,000

Duane will receive $350,000-$(131,250+140,000)

$350,000-$271,250=$78,750.

Step-by-step explanation:

Pythagoras

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90 degree angle).

x² = 12² + 9² = 144 + 81 = 225

x = 15 ft

so, the first answer option is correct.

The value of hypotenuse (x) in the right angled triangle is 15ft.

Given,

Right angled triangle .

Here,

Pythagoras theorem,

c² = a² + b²

here,

c = hypotenuse

a = perpendicular

b = base

Substitute the values in the formula,

x² = 12² + 9²

x² = 144 + 81

x² = 225

x = 15 ft

Thus the length of hypotenuse is 15ft .

So, option A is correct.

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3 answer :-

if the diameter=14cm

then radius =7cm

height=18.2cm

we know that

C. S. A=2πrh

=2×22/7×7×18.2

=36.4×22

the metal used for making can =796.4

hope this help you I apologize if the above answer is wrong

I am sorry but I know only one answer

The area of the shaded region of the rectangle is approximately 573.92 square feet.

The figure in the image is that of a rectangle with a semi-circle inscribed in it.

The area of rectangle is expressed as:

Area = Length × Width

The area of semi-circle is expressed as:

Area = 1/2 × πr²

To determine the area of the shaded region, we simply subtract the area of the semi-circle from the area of the rectangle.

Area of shaded region = area of rectangle - area of semi-circle

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

From the image:

Length = 40 ft

Width = 20 ft

Radius r = 12 ft

Plug the values into the above formula:

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

Area of shaded region = ( 40 × 20 ) - ( 1/2 × 3.14 × 12² )

Area of shaded region = ( 800 ) - ( 226.08 )

Area of shaded region = 573.92 ft²

Therefore, the area is approximately 573.92 square feet.

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Answer:

the answer is b. 33

Step-by-step explanation:

first I did 5x+1=2x+7 and found x=2

then I plugged that back in and got that all the sides equal 11 and 11x3=33

Answer:

  499.338 feet

Step-by-step explanation:

You want to know the distance traveled by an object in 25 seconds when its velocity is described by 20+5cos(t) feet per second.

The distance an object travels is the integral of its velocity. For the given velocity and time period, the distance is ...

  \(\displaystyle d=\int_0^{25}{v(t)}\,dt=\int_0^{25}{(20+5\cos(t))}\,dt=(20t+5\sin(t))|_0^{25}\\\\d=500+5\sin(25)\approx\boxed{499.338\quad\text{feet}}\)

The distance traveled in 25 seconds is 499.33 feet.

It is required to find the distance traveled in 25 seconds.

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

We have to find the distance , we will integrate v(t) from 0 to 25 second.

Consider an object traveling at constant velocity v = k. Then, each second, it travels k feet, so after t seconds, the distance traveled is k*t.

Now, suppose its speed increases by 1 feet/sec . So, estimate for distance traveled after t seconds is

1 + 2 + 3 + 4 + ... + t = t(t+1)/2, or approximately 1/2 t^2.

According to given question we have

Given a velocity function v, the distance s is figured by taking the integral. In this case,

v = 20 + 5 cos(t)

s = 20t + 5 sin(t) from 0 to 25

= s(45)-s(0)

s(0) = 0

so, the distance is

s(25) = 20*25 + 5sin(25)

= 500 -0.661

=499.33 feet.

Therefore, the distance traveled in 25 seconds is 499.33 feet.

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Step-by-step explanation:

tan0=opp/adj

where opposite =3,adjacent =x,=70

tan 70=3/x

2.7474=3/x

2.7474x=3

divide both sides by 2.7474

x=3/2.7474

x=1.0919

x=1.10 to 1 d.p

A ) y(x) = 7x -8

y(-2) = 7*(-2) - 8

= -14 -8 = -22

B ) y(x) = 4x²

y(2) = 4 *(2)²

= 4 * 4 = 16

We need to adjust our equation in such way, that it follows the square pattern.

This also says that the last term should be 25, so by adding 38 on both sides , we get following.

An arborescence is a type of Bayesian network structure that is characterized by a root node, a unique path from the root to every other node, and conditional probabilities that are only dependent on the parent of each node.

An arborescence, also known as a directed rooted tree, is a type of Bayesian network structure in which there is a root node, \( X_{0} \), and a unique path from the root to every other node in the network. This means that there is only one way to reach each node from the root, and there are no cycles in the network. The root node is the only node that does not have any parents, and all other nodes have exactly one parent.

In an arborescence, the conditional probability of each node given its parents is defined as follows:

$$ P(X_{i}|X_{0},...,X_{i-1}) = P(X_{i}|X_{pa(i)}) $$

Where \( X_{pa(i)} \) is the parent of \( X_{i} \).

This means that the probability of each node is only dependent on its parent, and not on any other nodes in the network. This simplifies the calculations needed to determine the probability of a particular event occurring in the network.

Overall, an arborescence is a type of Bayesian network structure that is characterized by a root node, a unique path from the root to every other node, and conditional probabilities that are only dependent on the parent of each node.

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Answer:

It would be 2 1/12

Step-by-step explanation:

You would first change 1 2/3 to an improper fraction

5/3 ÷ 4/5

Then you would use Keep, Change, Flip (KCF) to get

5/3 x 5/4

Then multiply to get

25/12 then simplify to get

2 1/12

Answer:

d

Step-by-step explanation:

2*4.5=9

scale1:30

=9*30 =270

Convert to actual scale based on proportion of 1:30

4.5 x 30 = 135 inches

2 x 30 = 60 inches

135 x 60 = 8100 inches^2 though we need this in feet and because we solved for area we need to divide by 12in^2*12in*^2

8100/144 = 56.25 or roughly 56 ft^2

I hope this helps! Let me know if you have any questions. Have a very nice day/night :).

Answer:

option Ais false

Step-by-step explanation:

this is because even number can be divisible by 2 and its multiples as well which are larger than 2 as well.

Answer:

Replace the 4 with a 3 to make the equation true

Answer:

3.25

Step-by-step explanation:

2 power - 2 is 1/4 add that to 3 gives 3.25

Answer:

\(\huge\boxed{\sf f(-2) = 3.25}\)

Step-by-step explanation:

Given function is:

\(f(x) =2^x+3\)

Put x = -2

\(\displaystyle f(-2) = 2^{-2}+3\\\\f(-2) = \frac{1}{2^2} + 3\\\\f(-2) = \frac{1}{4} + 3\\\\f(-2) = 0.25+3\\\\f(-2) = 3.25\\\\\rule[225]{225}{2}\)

Hope this helped!

ΔBAD is congruent to ΔBCD by the ASA rule.

What is the ASA congruency of triangles?

If any two angles and sides included between the angles of one triangle are equivalent to the corresponding two angles and sides included between the angles of the second triangle, then the two triangles are said to be congruent by the ASA rule.

In the given figure ABCD is a square.

In ΔBAD and ΔBCD

∠B ≅ ∠B ----Common Angle

∠A ≅ ∠A  ------Each of 90° angle

Side BD ≅ Side BD ----Common Side

So we can say that ΔBAD ≅ ΔBCD -----(ASA rule)

Hence, ΔBAD is congruent to ΔBCD by the ASA rule.

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Answer:

Step-by-step explanation:

Because 12 and 11 are not the same number it could be added it it were 11^3 and 11^4. But in this case it cannot.

Answer:

Step-by-step explanation:

please help me

Answer:

its 3,2,and -1 i think that's right

The sentence that best describes the paragraph is: "The pirates didn't believe Caesar would kill them because he was their prisoner." So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

The paragraph recounts the events of Caesar's kidnapping by pirates while crossing the Aegean Sea. Despite being held captive, Caesar maintained an attitude of superiority. The pirates demanded a ransom of 20 talents of silver, but Caesar insisted they ask for 50. This indicates that Caesar saw himself as more valuable than the initial ransom amount suggested by the pirates.

After the ransom was paid, Caesar did not forget the pirates' actions. He raised a fleet, pursued the pirates, and captured them. The sentence implies that the pirates didn't believe Caesar would actually kill them because he was their prisoner and they likely saw his promises as mere jest.

However, Caesar, true to his word, had the pirates crucified on his own authority.

This sequence of events highlights Caesar's determination, strategic thinking, and his ability to command respect even in dire circumstances. Despite being initially taken prisoner, he managed to turn the tables on the pirates, assert his authority, and exact his revenge. So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

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Answer:

12 | 52 | 64  |

27 | 59 | 86  |

39 | 111 | 150 |

I attempted making a chart with the answers

Answer:

B. Positive linear

Step-by-step explanation:

First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive

Answer:

Step-by-step explanation:

Area of semi-circle = π\(\frac{r^2}{2}\)

Area = 3.14 x \(\frac{d^2}{4}\\\)

     3.14 x 400

    = 1256 m^2

Answer:

number 1

Step-by-step explanation:

Answer:

3.5 foot

Step-by-step explanation:

To find the distance from the wall, you will need to use cosine:

cos 60 = x / 7

x = 3.5 foot

Answer:

45.35

Step-by-step explanation:

From the above question, we are told that the annual effective rate = 10% = 0.10

Note also that payment is been made every 2 years

Hence , we apply the formula of effective interest rate for a period of 2 years.

Effective Interest rate(j) = (1 + r)² - 1

= (1 + 0.10)² - 1

= 1.10² - 1

= 1.21

= 0.21

Present value of perpetuality = t/[j × j/(1 + r)²]

Where t = time in years = 2

r = 0.10

= 2/ [0.21 × 0.21/(1 + 0.10)²

= 54.87528

Present value at time t = 0

= 54.87528(1 + r)^-2

= 54.87528(1 + 0.10) ^-2

= 54.87528(1.10)^-2

= 45.35

Therefore, the present value at time (t) is 0 = 45.35

Answer:

Step-by-step explanation:

25%

80%

60%

100%

25%

Answer:

x = 4/3

Step-by-step explanation:

Direct variation:

y = kx

We use the given x-y point to find k.

6 = k * 2/3

k = 6 * 3/2

k = 9

The equation is

y = 9x

For y = 12,

12 = 9x

x = 12/9

x = 4/3