10) Triangle GHK has an area of 273cm². Write and solve an equation to find the height, h, of triangle GHK
base is 26 cm

Answer:

6(x - 3)

Step-by-step explanation:

18(x−3)−6(x−3)2 =>

18x - 54 - 12 (x - 3 ) =>

18x - 54 - 12x + 36 =>

18x - 12x - 54 + 36 =>

6x - 18 or 6(x - 3)

both answers are good, althoguth this second one 6 (x - 3) should be the one that you are looking for

I need to deposit $1558.41 to have $2000 in the account in 5 years.

What is compound interest?

The interest charged on a debt or deposit is known as compound interest. It is the idea that we use the most regularly. Compound interest is calculated for a sum based on both the principal and cumulative interest.

    ∴ Compound interest = P(1 + \(\frac{r}{100*12}\))ⁿ  (∵ for monthly interest)

        P = Principal

        r = rate of interest per month

        n = number of months

Given:

r = 5% per month

n = 5 years = 5*12 = 60 months

  CI = P (1+5/(12 * 100))⁶⁰

2000 = P(1.0041)⁶⁰

2000 = P(1.2834)

      P = 1558.41

Therefore, the amount required to deposit is 1558.41 dollars to get 2000 dollars after 5 years with 5 percent interest per month.

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17

18

10

that's the answer

mark me as brainliest please

Answer:

40, 24, 54

Step-by-step explanation:

let the 3 numbers be x, y and z

then

\(\frac{x}{y}\) = \(\frac{5}{3}\) ( cross- multiply )

5y = 3x ( divide both sides by 5 )

y = \(\frac{3}{5}\) x

and

\(\frac{y}{z}\) = \(\frac{4}{9}\) ( cross- multiply )

4z = 9y ( divide both sides by 4 )

z = \(\frac{9}{4}\) y = \(\frac{9}{4}\) × \(\frac{3}{5}\) x = \(\frac{27}{20}\) x

The 3 numbers are now expressed in terms of x , then adding gives

x + \(\frac{3}{5}\) x + \(\frac{27}{20}\) x = 118

multiply through by 20 to clear the fractions

20x + 12x + 27x = 2360

59x = 2360 ( divide both sides by 59 )

x = 40 ← first number

y = \(\frac{3}{5}\) × 40 = 3 × 8 = 24 ← second number

z = \(\frac{27}{20}\) × 40 = 27 × 2 = 54 ← third number

The 3 numbers are 40, 24, 54

AC is not equal to CE based on the angle bisector theorem. The answer is: C. NO, you cannot use the angle bisector theorem to determine that AC = CE.

According to the angle bisector theorem, when a line segment divides an angle of a triangle, the line segment also divides the opposite side but does so in such a way that the two segments are proportional to the other two sides of the triangle. However, the two segments are not congruent to each other.

In the diagram given below that shows the suspect, the police officer, and the 26th Street toward Cherry Street, the angle bisector divides the side opposite to the angle divided into AC and CE. Thus, their length cannot be ascertain to be congruent to each other, however, based on the angle bisector theorem, we can only prove that their length is proportional to the other two sides of the triangle.

Therefore, we can conclude as saying:

C. NO, you cannot use the angle bisector theorem to determine that AC = CE.

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Answer:

c = 7

d = 5

Step-by-step explanation:

combining coefficient a with the nth root of b: a√ⁿb = √ⁿ((a)ⁿb). This is the reverse of simplifying a radical.

8x³√²7x = √²((8x³)²)√²(7x) = √²(64x⁶)√²(7x) = √²((64x⁶)(7x)) = √²((64 × 7)(x⁶ × x)) = √²((448)(x⁷)) = √²448x⁷ →

√²448x⁷ = √²448xᶜ.

7 → c, √²448x⁷ = √²448x⁷, c = 7.

4x√³9x² = √³((4x)³)√³(9x²) = √³(64x³)√³(9x²) =

√³((64x³)(9x²)) = √³((64 × 9)(x³ × x²)) = √³((576)(x⁵)) = √³576x⁵ →

√³576x⁵ = √³576xᵈ.

5 → d, √³576x⁵ = √³576x⁵, d = 5.

Answer:

correct choices:

six of the one-half cubes would have a volume of 3 cubic units.

three of the one-third cubes will make 1 unit cube.

two of the one-half cubes will make 1 unit cube.

both stacks will have a volume of 3 cubic units.

Step-by-step explanation:

Answer:1,4,5,6

Step-by-step explanation:

your welcome

The probability distribution of the number of customers that enter the store on a given day is described as follows:

Poisson with a mean of 70 customers.

In a Poisson distribution, the mass function probability that X represents the number of successes of a random variable is given by the equation presented as follows:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

A combination of Poisson variables is a Poisson variable, hence the daily distribution is a Poisson variable with mean given by the sum of these following observations:

Hence the mean is of:

8 + 16 + 18 + 28 = 70 customers.

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Linear pairs of angles:

It means that they add to 180º.

In this question:

mZEFG = 5n + 21

mZGFH =4n + 15

Since they are linear:

mZEFT + mZGFH = 180

5n + 21 + 4n + 15 = 180

9n + 36 = 180

9n = 180 - 36

9n = 144

n = 144/9

n = 16

Now we have n, so we can find the measures of both angles.

mZEFG = 5n + 21 = 5*16 + 21 = 80 + 21 = 101

mZGFH =4n + 15 = 4*16 + 15 = 64 + 15 = 79

Answer:

mZEFG = 101, mZGFH = 79

A)
i) the inequality to show the number of ballons that the dance committee can buy is: 0.80b + 65 ≤ 125

ii)  solving the inequality above, we arrive at b ≤ 75
B) The graph is attached accordingly.

C) See the description of the solution below.

Let's start by defining our variables. Let b be the number of balloons that the dance committee could buy.

The cost of b balloons is $0.80b. We want to make sure that the cost of the balloons plus the amount already spent on decorations ($65) is less than or equal to the budget of $125. So we can write the following inequality:

0.80b + 65 ≤ 125

Now we can solve for b:

0.80b + 65 ≤ 125

0.80b ≤ 125 - 65

0.80b ≤ 60

b ≤ 75

Therefore, the dance committee can buy up to 75 balloons to stay within their budget.

To graph the solution set, we can plot b on the horizontal axis and shade the region to the left of b = 75, since b must be less than or equal to 75.

The solution set represents all possible values of b that satisfy the inequality. In this case, the solution set is b ≤ 75, which means that the dance committee can buy up to 75 balloons and still stay within their budget.

As the number of balloons increases, the cost of the balloons also increases, and the amount of money left in the budget decreases.

Therefore, the more balloons the dance committee buys, the less money they will have left for other decorations or expenses.

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Full Question:


Since the above question is incomplete, it appears you are referring to the question below.


The dance committee has a budget of $125 to decorate the gym for a spring dance. They already spent $65. Some members want to buy helium balloons that cost $0.80 each.

A) Write and solve an inequality to show the number of balloons that the dance committee could buy.

B) Graph the solution set for the inequality.
C) Describe what the solution means and how the number of balloons affects the amount in the budget.

Answer:

yes

Step-by-step explanation:

because the 2 shorter sides need to add up to more than the 3rd side. and they do.

Answer:

No, It doesn't

Step-by-step explanation:

Use the Pythagorean Theorem to check for a right angle

a^2=b^2+c^2

81^2=80^2+13^2

Solve

6561≠6569

Answer:

1\(\frac{5}{6}\) hours (110 minutes).

Step-by-step explanation:

The individual want to code 8 new functions of which most of the functions will take 10 minutes each to create, but the last two 25 minutes.

Thus, 6 of the 8 new functions would take 10 minutes, while two will take 25 minutes. So that;

6 x 10 minutes = 60 minutes

But for the last two;

2 x 25 minutes = 50 minutes

Total time required = (60 + 50) minutes

                                = 110 minutes

                                = 1\(\frac{5}{6}\) hours

The estimated time to complete all 8 functions is 1\(\frac{5}{6}\) hours (110 minutes).

Therefore , the solution of transformation of function is Translation shifting the graph of a function up or down, or left or right.

A transformation of a function is a new function that is derived from the original function by applying some mathematical operation. The process of creating a new function from an existing one by applying a mathematical operation is called a transformation.

Here,

There are different types of transformations that can be applied to a function, such as:

Translation: shifting the graph of a function up or down, or left or right.

Reflection: flipping the graph of a function over the x-axis, y-axis, or a line of symmetry.

Stretching or compressing: changing the scale of the graph along the x-axis or y-axis.

Rotation: rotating the graph of a function about the origin.

Function G is a transformation of function f. G(x) = x^2

A transformation of a function is a new function that is derived from the original function by applying some mathematical operation. In this case, function G is derived from function f by squaring the input value. The result is a new function that maps the input value to its square. The notation G(x)= x^2 is a common notation to represent a function and it means that G is a function that takes x as input and returns the square of x as output.

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Answer:

7^15

Step-by-step explanation:

7^5^3 = 7^(5*3) = 7^15

Answer:

150*2/3=100

take school size then multiply it by the ratio to get the amount of student who prefer such toothpaste.

Step-by-step explanation:

Answer:

The trinomial is already factored

Step-by-step explanation:

(x+h)^3 expanded is x^3+3x^2h+3xh^2+h^3, and (x+h)^3 is the factored form of the polynomial.

Answer:

B 7/30

Step-by-step explanation:

P (Purple) = 70 / 300 = 7/ 30

Answer:

B

Step-by-step explanation:

Purple-70/300=7/30

The angle C can be obtained rom the computation below as 16 degrees.

We know that the cosine is one of the angular measures that we have. The trigonometric ratios that we have are the sine the cosine and the tangent. We can be able to obtain the angle of the when we take the inverse of the cosine of the angle.

Now we know that the cosine of the angle can be defined as the ratio of the adjacent and the hypotenuse. The value of the cosine of the angle can be gotten from the table of the standard measure of the angles or by the use of a calculator.

We then have that;

Cos C= 0.9613

C = Cos-1( 0.9613)

By the time we make use of a good calculator we obtain the angle as;

C = 16 degrees

This is the value of the angle.

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The amount invested in the account that paid 4% interest is $2,600

The amount invested in the account that paid 13% interest is $1,500.

a + b = 4100 equation 1

0.04a + 0.13b = 299 equation 2

Where:

a = amount invested in the account that paid 4% interest

b = amount invested in the account that paid 13% interest

The first step is to multiply equation 1 by 0,04

0.04a + 0.04b  = 164 equation 3

Subtract equation 3 from equation 2

0.09b = 135

b = 135 / 0.09

b = $1500

a = 4100 - 1500 = $2,600

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Whwn the line of sight from the park ranger station, P, to the lifeguard chair, L, the length of PL is 0.76 miles.

It should be noted that since the line of sight from the park ranger station, P, to the lifeguard chair, L, on the beach of a lake is perpendicular to the path joining the campground, C, and the first aid station, F, then the path from the park ranger station to the lifeguard chair is the hypotenuse of a right triangle with legs of 0.35 miles and 0.65 miles.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. Therefore, the length of PL is equal to:

= ✓(0.35² + 0.65²)

= 0.76 miles.

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Answer:

Step-by-step explanation:

Hi there!

According to the question;

radius (r) = 7

We know,

Circumference (c) = 2πr

                              = 2π * 7

                              = 14π

Therefore the circumference of p is 14π.

Hope it helps!

Answer:

C.

Step-by-step explanation:

The two other positive angles of rotation that take A to B are 19π/6 and 31π/6.

The unit circle is rotationally symmetric, meaning that any angle of rotation on the unit circle will take a point to another point on the unit circle with the same distance from the origin. This means that if we rotate point A by 7π/6 radians, we can also rotate it by 19π/6 or 31π/6 radians and end up at the same point B.

The point A has polar coordinates (1, 0). This means that it is located at a distance of 1 unit from the origin and has an angle of 0 radians with the positive x-axis.

The point B has polar coordinates (√3/2, 1/2). This means that it is located at a distance of √3/2 units from the origin and has an angle of 7π/6 radians with the positive x-axis.

If we rotate point A by 19π/6 radians, we get a point with polar coordinates (√3/2, -1/2). This point is located at the same distance from the origin as point B and has the same angle with the positive x-axis.

Therefore, the two other positive angles of rotation that take A to B are 19π/6 and 31π/6.

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Answer:

1 package is 13.8 pounds and 8 packages is 110.4

Step-by-step explanation:

Its the last one. I just took the quiz on edge.

Step-by-step explanation: The scale factor is 5. You mutiply  5 with the coordinates. J  is (-3,2) so multiply 5 and -3  which is -15 then do the same thing with 2 which equals 10. J'=(-15,10)

Answer: 4,988 porque 16% de 4,300 es 688 asi que nomas lo aggregas a lo que costaba y agaras el resultado de 4,988

Step-by-step explanation:

Answer:

Here's something to help you

Step-by-step explanation:

I'm using the second question as an example.

To find the Unit Rate, you have to divide the amount of money by the amount of whatever the product is

5.99/8= 0.74875

Since the question says to round it to the nearest hundredth, that means the price per unit (unit rate, or the price for one battery here) would be about $0.75. Simple, right?

Answer:

36

Step-by-step explanation:

f(x)=x^2+2x+1

Let x = -7

f(-7)=(-7)^2+2*-7+1

     = 49-14+1

     = 36

Ans: 36

f(-7)=(-7)^2+2(-7)+1

49-14+1

35+1

36

The graph of the system of the inequalities is attached.

To graph the inequalities y < -x - 4 and y ≥ (3/5)x + 4, we can start by graphing the corresponding equations and then shade the appropriate regions based on the inequality signs.

Let's begin with the equation y = -x - 4:

Choose a range of x-values to plot.

For simplicity, let's use x-values from -10 to 10.

Substitute different x-values into the equation to find corresponding y-values.

For example:

When x = -10, y = -(-10) - 4 = 10 - 4 = 6.

When x = 0, y = -(0) - 4 = -4.

When x = 10, y = -(10) - 4 = -10 - 4 = -14.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = -x - 4.

Next, let's graph the equation y = (3/5)x + 4:

Again, choose a range of x-values to plot. Let's use the same range of -10 to 10.

Substitute different x-values into the equation to find corresponding y-values. For example:

When x = -10, y = (3/5)(-10) + 4 = -6 + 4 = -2.

When x = 0, y = (3/5)(0) + 4 = 0 + 4 = 4.

When x = 10, y = (3/5)(10) + 4 = 6 + 4 = 10.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = (3/5)x + 4.

Now, let's shade the regions based on the inequalities:

For y < -x - 4, we need to shade the region below the line y = -x - 4.

For y ≥ (3/5)x + 4, we need to shade the region above or on the line y = (3/5)x + 4.

Hence, the region where the shaded regions overlap represents the solution to both inequalities.

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Answer:

61/100, 61%, 0.61, sixty-one percent, sixty-one one hundredths

Step-by-step explanation:

61/100

61%

0.61

sixty-one percent

sixty-one one hundredths