What is the area of the triangle?
7 cm
10 cm
Area = [?] cm²
Enter

Answer:

380

Step-by-step explanation:

because if you. multiply them at the end it will give u 380

The amplitudes of functions are a) 8 and b) 6.

Given are the functions we need to determine the amplitude of function,

a) y = 8 Sin (x/2) + 3

b) y = 6 Cos x + 2

So,

To determine the amplitude of a trigonometric function, you can follow these steps:

For a sine function of the form y = A×sin(Bx + C) + D:

The amplitude is equal to the absolute value of the coefficient A.

For a cosine function of the form y = A×cos(Bx + C) + D:

The amplitude is equal to the absolute value of the coefficient A.

Let's apply these steps to the given functions:

a) y = 8×sin(x/2) + 3

The coefficient of sin in this function is 8, so the amplitude is |8| = 8.

Therefore, the amplitude of function a) is 8.

b) y = 6×cos(x) + 2

The coefficient of cos in this function is 6, so the amplitude is |6| = 6.

Therefore, the amplitude of function b) is 6.

Hence the amplitudes of functions are a) 8 and b) 6.

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Answer:

Angle 3 is 80°

Step-by-step explanation:

it is a vertically opposite angle to angle 2, which is 80°

Answer:

True

Step-by-step explanation:

3x8=24

24-63=-39

39=39

Hence, the equation is true.

Answer:

The answer is true.

Step-by-step explanation:

3 x 8 = 24

24 - 63 = -39

Hope this helps. :)

Answer:

x=25

y= 64.5

Step-by-step explanation:

When lines are parallel, 2x=2(the number)

But, 2 isn't an angle.  However, 50degrees is congruent to 2 since they are verticle angles.

2x=50

x=25

When lines are parallel, 2y+1=1(the number)

But, 1 doesn't have a verticle angle.  However, 180-50 would be equal to 1

180-50=2y+1

130=2y+1

129=2y

y= 64.5

The calculated value of the rate of the graph is 0.8

from the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

(0, -16) and (20, 0)

The rate of the graph is calculated as

Rate = Change in y/x

using the above as a guide, we have the following:

Rate = (0 + 16)/(20 - 0)

Evaluate

Rate = 0.8

Hence, the rate is 0.8

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Answer:

B, D, and E  are true

Step explanation:

Let's look at each option!

So when looking at these we have to make sure that the letters line up or are in the same position.

Option A

\(\frac{FG}{FH} = \frac{FH}{LM}\)  

We can't have both sides getting mixed up FG and FH are in the same triangle so we know that's not true

Option B

FH ~ LN

As we can see FH is in the same position as LN so that's true

Option C

\(\frac{m < F}{m < L} = \frac{m < G}{m < M}\)

Like I said earlier we can't have two angles from the same triangle being equal to each other so this one is not true

Option D

GH = MN

Angles GH and MN are in the same position so that is true!

Option E

m∠H = m∠N

Angle H and N are in the same position too so this is also true!

The solutions to this system of conics is; x = 6 and y = -4

We are given the system of equations as;

(x - 1)² + (y + 4)² = 25    ------(eq 1)

(x - 1)²/25 + (y + 4)²/100 = 1  ------(eq 2)

From eq 1, we can make (x - 1)² the subject to get;

(x - 1)² = 25 - (y + 4)²  ----(eq 3)

Plug in eq 3 into eq 2 to get;

(25 - (y + 4)²)/25 + (y + 4)²/100 = 1

Multiply through by 100 to get;

4(25 - (y + 4)²) + (y + 4)² = 100

100 - 4(y + 4)² +  (y + 4)² = 100

Solving for y gives y = -4

Plug in -4 for y into eq 1 to get;

(x - 1)² + (-4 + 4)² = 25

√(x - 1)² = √25

x - 1 = 5

x = 6

Now, a conic section is defined as the curve which is the intersection of cone and plane. There are three primary conic sections namely parabola, hyperbola, and ellipse. Thus, the solutions are x = 6 and y = -4.

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Answer:

I think you have chosen the right answer.

Answer: your answer is right

Step-by-step explanation:

The area of a circle can be calculated using the following formula:

Where

A represents the area

r represents the radius of the circle

π is the number pi, you have to use 3.14 for the calculatins

You have to calculate the area of a circle that has a diameter of 20 inches. The radius of a circle is half the diameter:

The area of the circle can be determined as follows:

The area of the circle is 314in²

Answer:

B. compute the area of each section that was sampled, and determine the average operation of the insect per square foot. (

The limit as x approaches 1 from either side should match, so that

\(\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1}(-2x+a)=a-2\)

\(\displaystyle\lim_{x\to1^+}f(x)=\lim_{x\to1}x=1\)

==>   a - 2 = 1   ==>   a = 3

The answer is a = 3.

Finding Left Hand Limit (LHL)

\(\displaystyle \lim_{x \to \11^{-}} f(x) = -2(1) + a\)

Finding Right Hand Limit (RHL)

\(\displaystyle \lim_{x \to \11^{+}} f(x) = 1\)

For a continuous function, LHL = RHL

Answer:

13

Step-by-step explanation:

6-(-7)=13

Answer:

36°

Step-by-step explanation:

\(size \: of \: one \: exterior \: angle \\ \\ = \frac{360 \degree}{no \: of \: sides} \\ \\ = \frac{360 \degree}{10} \\ \\ = 36 \degree\)

Answer:

Exterior Angle = 36 degrees

Step-by-step explanation:

The measure of each interior angle of the decagon is 144

So,

Exterior Angle = 180 - 144    (Interior and Exterior angles are angles on a straight line hence adding up to 180 degrees)

Exterior Angle = 36 degrees

Answer:

Roughly 90.085

Step-by-step explanation:

$196.17/2=$90.085

Answer:

\( \frac{ {a}^{ 6 } {c}^{2} }{1296 {b}^{2} } \)

Step-by-step explanation:

By Using

\( {(\frac{a}{b} )}^{ - n} = {(\frac{b}{a})}^{n} \)

Express the phrase as a positive power

We apply power in fractions for a

Six to two power can be multiplied, then multiplying the number behind A, 36

Now because on top of a fraction there is a negative power, it transferred to below the deduction, but we make the power positively

Now it's a "A" turn

After sorting the phrase "A" to the back of "c" of the phrases to power two

\( \frac{ {a}^{6} {c}^{2} }{1296 {b}^{2} } \)

Answer:

I think that it is negative

Step-by-step explanation:

Answer:

3:2

Step-by-step explanation:

3 clouds, 2 suns

Answer: 3:2

Step-by-step explanation:

there are three clouds to two suns

Answer:

0.4629 = 46.29% probability that the manager finds more than two such transactions

Step-by-step explanation:

For each transaction, there are only two possible outcomes. Either there is a procedural error, or there is not. The probability of a procedural error on a transaction is independent of any other transaction. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

A manager randomly selected 25 large cash transactions at a bank that were made in January.

This means that \(n = 25\)

The chance for a procedural error is 10%

This means that \(p = 0.1\)

What is the probability that the manager finds more than two such transactions?

This is:

\(P(X \geq 2) = 1 - P(X < 2)\)

In which

\(P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2)\)

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{25,0}.(0.1)^{0}.(0.9)^{25} = 0.0718\)

\(P(X = 1) = C_{25,1}.(0.1)^{1}.(0.9)^{24} = 0.1994\)

\(P(X = 2) = C_{25,2}.(0.1)^{2}.(0.9)^{23} = 0.2659\)

\(P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0718 + 0.1994 + 0.2659 = 0.5371\)

\(P(X \geq 2) = 1 - P(X < 2) = 1 - 0.5371 = 0.4629\)

0.4629 = 46.29% probability that the manager finds more than two such transactions

Using the binomial probability relation, the probability that more than 2 such transactions is made is 0.463

Given the Parameters :

Using the relation :

Substituting the values into the relation :

P(X > 2) = P(X = 3) + P(X = 4) +... + P(X = 25)

Using a binomial probability calculator :

P(X > 2) = P(X = 3) + P(X = 4) +... + P(X = 25)

P(X > 2) = 0.226 + 0.138 +... +..

P(X > 130) = 0.463

The probability that more than 2 such transactions is made is 0.463

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The value of the probability of the different events are,

The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

We have to given that;

A box contains 2 red marbles, 5 green marbles and 8 blue marbles.

Hence, Total marbles = 2 + 5 + 8 = 15

So, The value of the probability P (3) is,

⇒ 3 / 15

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/15 x 5/15

⇒ 8/15 x 1/3

⇒ 8 / 45

Thus, The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

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Answer:

The correct equation that initially models the value of Rob's boat is option A, y = 40,000(0.93)*.

Since the value of the boat decreased by 7% each year, the value of the boat after three years can be represented by:

y = 40,000(0.93)^3

where y is the value of the boat after three years, and 40,000 is the initial value of the boat.

Simplifying this equation, we get:

y = 40,000(0.7951)

y = 31,804

However, we know that the actual value of the boat after three years was $32,174.28. This means that our initial assumption that the boat decreased by 7% each year is incorrect and we need to adjust the equation accordingly.

To find the correct equation, we can use the formula for exponential decay:

y = a(1 - r)^t

where y is the final value, a is the initial value, r is the rate of decay (expressed as a decimal), and t is the time in years.

In this case, we know that the final value of the boat is $32,174.28, and that the boat was owned for three years. We also know that the value of the boat decreased by 7% each year.

So we can set up an equation:

32,174.28 = 40,000(0.93)^3

Simplifying this equation, we get:

32,174.28 = 31,804.00

This equation is approximately true, which means that the initial value of the boat was $40,000 and the correct equation that initially models the value of Rob's boat is:

y = 40,000(0.93)^t

where t is the time in years.

Answer:

3,060

Step-by-step explanation:

Multiply the mass value x 1000

3.06 x 1000= 3,030

There are 3060 milligram in 3.06 grams.

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

We have to given that;

The number is,

⇒ 3.06 grams

Since, We know that;

1 gram = 1000 milligrams

Hence, We get;

⇒ 3.06 grams = 3.06 x 1000 milligrams

                      = 3060 milligrams

Thus, There are 3060 milligram in 3.06 grams.

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\(\therefore\) Leonel will play on his soccer field with a perimeter of 110 m.

Data to then substitute into the equation:

Before starting to solve, I will show you the formula for the perimeter of the rectangle:

\(\bold{ \: P= 2(a) + 2(b)}\)

We substitute equation:

\(\bf \: P = 2(15) + 2(40)\)

We multiply:

\(\bf \: P= 15 * 2 = 30\)

\(\bf \: P= 40 * 2 = 80\)

We add both resultants to obtain the perimeter:

\(\bf \: P= 80 + 30\)

\(\large\boxed{ \bf \:P = 110 \: m}\)

Rpt: Leonel will play on his soccer field with a perimeter of 110 m.

Answer:

I think its D. A triangle thats obtuse cant be equal because one of the angles has to be over 120°.

The dimensions of the rectangular garden to maximize the area is length = width = 75 meters.

Let l be the length and w be the width of the rectangular garden.

We need to find the dimensions of the rectangular garden of greatest area that can be fenced off (all four sides) with 300 meters of fencing.

The perimeter of the  rectangular garden = 300 meters

We know that the perimeter of the rectangle =2(length + width)

300 = 2(l + w)

l + w = 150               .......(1)

Now, the maximum area of a  rectangular garden is when Length  = width

So, for equation 1

l + l = 150

l = 75 meters

So, w = 75 meters

And the area of the rectangular garden = length * width

                                                               = 75 * 75

                                                               = 5625 m²

So the maximum area of the  rectangular garden is 5625 m²

Therefore, the dimensions of the garden to maximize the area is length = width = 75 meters and maximum area is  5625 m²

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The Maximum height of the object is 2888.9 feet which is at 23.06 seconds

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

Let h represent the height of an object after t seconds. Given that:

h(t) = -4.9t² + 226t + 283

The maximum height is at h'(t) = 0, hence:

h'(t) = -9.8t + 226

-9.8t + 226 = 0

9.8t = 226

t = 23.06 s

h(23.06) = -4.9(23.06)² + 226(23.06) + 283 = 2888.9

Maximum height is 2888.9 ft

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Answer:

<

Step-by-step explanation:

The mass of the object that weighs 40 N is 8 kg.

If the weight of an object varies directly with the mass of the object, it means that the weight and the mass are proportional to each other, and the constant of proportionality is the same for all objects. Let's call this constant of proportionality "k".

From the problem, we know that when the mass of an object is 3 kg, its weight is 15 N. Therefore, we can write:

15 N = k * 3 kg

Simplifying this equation, we get:

k = 15 N / 3 kg

k = 5 N/kg

Now, we can use this value of "k" to find the mass of another object that weighs 40 N. Let's call the mass of this object "m".

40 N = k x m

Substituting the value of "k", we get:

40N = 5 N/kg x m

m = 40 N / 5 N/kg

m = 8 kg

Therefore, the mass of the object that weighs 40 N is 8 kg.

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