The expression (x-6)^2 is equivalent to

Answer:

The shortest altitude is 6.72 cm

Step-by-step explanation:

Given that the side lengths are

24 cm, 25 cm, 7 cm

The area of a triangle =

[tex]A = \sqrt{s \cdot (s-a)\cdot (s-b)\cdot (s-c)}[/tex]

Where;

s = Half the perimeter = (24 + 25 +  7)/2 = 28

A = √((28×(28 - 24)×(28 - 25)×(28 - 7)) = 84 cm²

We note that 84/7 = 12

Therefore, the triangle is a right triangle with hypotenuse = 25, and legs, 24 and 7, the height of the triangle = 7

To find the shortest altitude, we utilize the formula for the area of the triangle A = 1/2 base × Altitude

Altitude  = A/(1/2 ×base)

Therefore, the altitude is inversely proportional to the base, and to reduce the altitude, we increase the base as follows;

We set the base to 25 cm to get;

Area of the triangle A =  1/2 × base × Altitude

84 = 1/2 × 25 × Altitude

Altitude = 84/(1/2 × 25) = 6.72 cm

The shortest altitude = 6.72 cm.

A is vowel.

first condition prevents any vowels, thus there will be no A at all

Answer:

12.5

Step-by-step explanation:

2.5 * 5 = 12.5

Answer:

A=48.81

Step-by-step explanation:

it is a right angle triangle find the hypotenuse c using Pythagorean theorem:

c²=a²+b²

c²=8²+7²

c=√64+49

c=10.63

sin A =opp/hyp

sin A=8/10.63

A=  48.81

another way :

tan A=opp/adj

tan A=8/7

A=48.81

Answer:

[tex] \frac{2 {}^{5} }{7 {}^{5} } [/tex]

Step-by-step explanation:

[tex]( \frac{2}{7}) {}^{5} =\frac{2 {}^{5} }{7 {}^{5} } [/tex]

Hope this helps ;) ❤❤❤

Answer:

64 mph

Step-by-step explanation:

Given that:

Speed for the first 3 hours = 52 mph

Average speed for 4 hours = 55 mph

To find:

Speed for the next hour = ?

Solution:

Formula for average speed is given as:

[tex]Average\ Speed = \dfrac{Total\ Distance}{Total \ Time \ Taken}[/tex]

Formula for Distance:

[tex]Distance =Speed \times Time[/tex]

Distance traveled in first 3 hours:

[tex]Distance =52\times 3 = 156\ miles[/tex]

Let the speed for the next hour = u mph

Distance traveled in 1 hour = [tex]u \times 1 = u\ miles[/tex]

Total distance traveled = (156 + u) miles

Total time = 4 hours

Average Speed = 55 mph

Putting the values in formula:

[tex]55 = \dfrac{156+u}{4}\\\Rightarrow 220 = 156+u\\\Rightarrow \bold{u = 64\ mph }[/tex]

So, the answer is: 64 mph

Answer:

7.834 × 10^-8

Step-by-step explanation:

= 7.834 × 10^-8

(scientific notation)

= 7.834e-8

(scientific e notation)

= 78.34 × 10^-9

(engineering notation)

(billionth; prefix nano- (n))

= 0.00000007834

(real number)

^ means the number after is exponent.

Answer:

9:45 A.M.

Step-by-step explanation:

First, add the time that took him to hike:

6:30 + 2 hours and 15 minutes = 8:45 A.M.

Next, add the 1 hour that he played volleyball for:

8:45 + 1 hour = 9:45 A.M.

So, he finished playing volleyball at 9:45 A.M.

Answer:

9:45 am

Step-by-step explanation:

He went at 6:30 am to a hike.

It took him 2 hours 15 minutes

=> 6 : 30

+  2    15

=> 8 : 45

He came back from the Hike at 8:45 am

He played volleyball for 1 hour.

=> 8 : 45

+  1

=> 9 : 45

He finished playing volleyball at 9:45 am

Answer:

The value = 1

Step-by-step explanation:

Here in this question, we are interested in calculating the product of the trigonometric identities given.

To adequately calculate this correctly, we shall need to express the trigonometric identities in their normal division form which is as follows ;

Mathematically;

cotA = 1/tanA

let’s leave sin A

sec A = 1/cos A

So inputing the values of the following, we have ;

1/tan A * sin A * 1/cos A

This can be written as;

1/tan A * sin A/cos A

Mathematically; sinA/cos A = tan A

making that substitution, we have;

1/tan A * tan A

= tan A/tan A = 1

Answer:

The watered area is approximately 3783 square feet.

Step-by-step explanation:

The area that is watered due to the rotation of the spankler is a circular section area ([tex]A[/tex]), whose formula is:

[tex]A = \frac{\theta }{2}\times \frac{1}{360^{\circ}}\times 2\pi \times d^{2}[/tex]

Where:

[tex]d[/tex] - Water distance, measured in feet.

[tex]\theta[/tex] - Rotation angle, measured in sexagesimal degrees.

Given that [tex]d = 85\,ft[/tex] and [tex]\theta = 60^{\circ}[/tex], the watered area is:

[tex]A = \frac{60^{\circ}}{2} \times \frac{1}{360^{\circ}}\times 2\pi \times (85\,ft)^{2}[/tex]

[tex]A \approx 3783\,ft^{2}[/tex]

The watered area is approximately 3783 square feet.

Answer:176

Step-by-step explanation:

6 times 29.33333333333333

Answer:

True

Step-by-step explanation:

|9| means the absolute value, how far it is away from zero, so that's 9. Then it's just -9=-9. If it were |-9| then the absolute value would be 9 making the equation false.

The expression −|9| is the negation of the absolute value of 9, which is 9. This is not equal to -9.

Hence, The answer is False.

The absolute value of a number is its distance from zero. It is always non-negative. Therefore, the absolute value of 9 is 9, not -9.

The negation of a number is its opposite. The opposite of 9 is -9.

Therefore, the expression −|9| is the negation of the absolute value of 9, which is 9. This is not equal to -9.

Learn more about expression here: brainly.com/question/34132400

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Answer:

12 apples

Step-by-step explanation:

3*4=12

Answer:

44

Step-by-step explanation:

base = 3- -5 = 8

height = 8 - -3 = 11

1/2 bh

1/2(8)(11) = 44

Answer:

63°

Step-by-step explanation:

complement means that the two angles add to 90°

90 - 27 = 63°

Answer:

Step-by-step explanation:

complement angles have sum of angles=90°

∠AOC=27

∠BOC=90-27=63°

Answer:

Kyra=15 points

Liam=20 points

30 points=y=4/3x+5

Step-by-step explanation:

I graphed each equation and point on the graph given

HOPE THIS HELPS!!! :)

PLEASE CORRECT ME IF IM WRONG

Answer:

3 boxes with 4 sweets and 2 boxes with 5 sweets

Step-by-step explanation:

As per given, we have following equations:

x= 5- y as per the first equation, considering in second one:

Then:

So there 3 boxes with 4 sweets and 2 boxes with 5 sweets

Answer:

bro please send in a picture format so that it could be more easier

Answer:

Rushmont

Step-by-step explanation:

Trenton can be ruled out due to its constant increase rate of 1.5. Rushmont can be ruled out because it goes from an increase rate of ~1.8 to an increase rate of 1.4 to an increase rate of 1.3 (exponential decay, not growth, so possibly...). Springville has a rate of ~1.9, then 1.475, then 1.3, also exponential decay. However, y\ =\ x\frac{38}{10}-185 goes through all of springville's points (or close to it), so Rushmont must be the answer.

The town that has growth that follows an exponential model is Town B, Rushmont where the population increases or decreases at a consistent rate over time.

In this case, analyze the population data from the three towns to determine which one exhibits exponential growth.

Let's go through each option briefly:

A. Springville:

B. Rushmont:

C. Trenton:

Based on the analysis above, the town that shows growth following an exponential model is Rushmont (B). It exhibits a consistent increase in population over time, suggesting exponential growth.

Learn more about population models here:

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Its $2.99 because 6.94-3.95=2.99 so $2.99

Answer:

$2.99

Step-by-step explanation:

To find the value of the drawing tablet, we can use the known total cost and the cost of the pencils.  Let's build an equation, where x represents the cost of the drawing tablet:

x + 3.95 = 6.94

Now let's solve the equation for x to find the cost of the tablet.

x + 3.95 = 6.94

x + 3.95 - 3.95 = 6.94 - 3.95

x = 2.99

So the cost of the drawing tablet is $2.99.

Cheers.

Answer:

Step-by-step explanation: Given that a civil servant own a car is 1/6.

A) The Pr. that each own a car = Pr of each multiplied by the other.

Pr = 1/6 ×1/6

P = 1/36

B) Pr that only one owns a car

= 1/6 × (1-1/6) + 1/6 × (1-1/6)

= 1/6 × 5/6 + 5/6 × 1/6

= 5/36 + 5/36

= 10/36

= 5/18

Answer:

0.069

Step-by-step explanation:

0.3*0.23=0.069

Answer:

x = 10

Step-by-step explanation:

5x - 6 = 44

Add 6 on both sides of the equation.

5x = 50

Divide by 5 on both sides of the equation.

x = 10

So, the value of x is equal to 10

Answer:

x=10

Step-by-step explanation:

5x-6=44

grouping constants and numbers with coefficient of x we get

5x=44+6

5x=50

5x/5=50/5

x=10

Answer:

267x

Step-by-step explanation:

Multiplication  means times

267 * x

267x

Answer:

267x

when you multiply a number by a variable, you can combine the terms if there is no coefficient for the variable.

Answer:

39.35 sec

Step-by-step explanation:

Given that:

The winning time is represented by the function:

T = 46.97 - 0.099x

Where x = year ; x = 0 corresponding to 1920

According to the formula, what was the winning time in 1997?

first find the value of x;

x = 1997 - 1920 = 77 years

Nowing plugging the value of x in the function :

T = 46.97 - 0.099(77)

T = 46.97 - 7.623

T = 39.347 seconds

T = 39.35 s

Answer:

3750 cm²

Step-by-step explanation:

To find the answer, we need to find the surface area of the cube. The surface area formula for a cube is 6a² where a = the length of an edge. We know that a = 25 so the surface area is 6 * 25² = 6 * 625 = 3750 cm².

Answer:

37.5 hopefully this is the answer you were looking for!

Step-by-step explanation:

Answer:

increasing

Step-by-step explanation:

a function is increasing when y increases as x increases

Since the graph goes up as x increases, the function f(x) is increases between -2 and -1

Answer:

15

Step-by-step explanation:

Aaron and his 2 friends = 3 people

Each received $5.00 = 3 people*5 each = 15 total