AB=6CM AC= 12cm
calculate the length of CD

Answer:

c

Step-by-step explanation:

2.68

For a line with a slope a and a known point (h, k), the point-slope form is:

y = a*(x - h) + k

A general linear equation can be written in slope-intercept form as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that a line passes through a point (h, k), then the point-slope form of that line is:

y = a*(x - h) + k

Notice that particularly, the y-intercept can be written as (0, b), then the slope-intercept form is also a point-slope:

y = a*(x - 0) + b

y = a*x + b

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Answer:

18.85

Step-by-step explanation:

C=2πr=2·π·3≈18.84956

The circumference of this pool is 6π feet.

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.

Given:

The radius of a small wading pool is 3 feet.

r = 3 feet

And the pool is circular.

So,

circumference of circle = 2πr

Circumference of circle = 2π(3)

Circumference of circle = 6π feet

Therefore, 6π feet is the circumference of the pool.

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The total cost to assemble 1, 500 smart phones, given the cost formula, can be found to be $525,000

The total cost of a smart phone is found by the formula, C(q) = 500 - 2q.

Here q is the cost of parts which is 75.

The assembly cost of a single phone is therefore:

= 500 - 2(75)

= 500 - 150

= $350

If there are 1, 500 smart phones, the total cost would be:

= 350 x 1, 500

= $525,000

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Answer:

3.375 bags of soil are needed for Paj to fill the flower pot

Step-by-step explanation:

This question can be solved using a rule of three.

One bag contains 2 + (2/3) = (8/3) cubic inches of soil. How many bags are needed to fill 9 cubic inches of soil?

1 bag - (8/3) cubic inches

x bags - 9 cubic inches

\(\frac{8x}{3} = 9\)

\(8x = 27\)

\(x = \frac{27}{8}\)

\(x = 3.375\)

3.375 bags of soil are needed for Paj to fill the flower pot

Paj needs 3.375 bags of soil to fill the bag.

Each bag contains 2²/₃ inch³ of soil and they need to fill up a 9 inch³ pot of soil.

First convert the mixed fraction to an improper one:

2²/₃ = 8/3

The number of bags needed is:

= Volume of pot / Quantity of soil in each bag

= 9 ÷ 8/3

= 9 x 3/8

= 3.375 bags of soil

Paj therefore needs 3.375 bags of soil to fill the pot

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The values of x representing side length for which triangle is acute is given by 4, 5, and 6 .

For a triangle to be acute,

Sum of the squares of the two shorter sides must be greater than the square of the longest side.

Mathematically,

a^2 + b^2 > c^2

where a, b, and c are the side lengths of the triangle,

With c being the longest side.

The sides are given as 3, 6, and x.

Without loss of generality,

Assume that 3 and 6 are the shorter sides,

3^2 + 6^2 > x^2

Simplifying this inequality, we get,

45 > x^2

Taking the square root of both sides, we get,

6.71 > x

Since x must be an integer, the possible values of x are 4, 5, and 6.

Triangle inequality is satisfied,

Sum of any two sides of a triangle must be greater than the third side.

3 + 6 > x

3 + x > 6

6 + x > 3

Inequalities are all satisfied for x = 4, 5, and 6.

Therefore, there are 3 possible values of x is 4, 5, and 6 for which the triangle is acute.

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Answer:

  (b)  3 units

Step-by-step explanation:

You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.

The dilation factor multiplies every length.

If OB is 3/4, then OB' is 4(3/4) = 3.

The length of OB' is 3 units.

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We can find the direct variation on a table because of their direct relationship.

In the given question we have to explain how to find direct variation on a table.

Any time one quantity directly affects the other, such as when one quantity rises in relation to the other and vice versa, then there is a direct variation between the two variables. When one of the variables is a constant multiple of the other, there is a link between the two variables. The two variables are said to be directly proportional because of their direct relationship.

So we can find the direct variation on a table because of their direct relationship.

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Answer:

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

Step-by-step explanation:

f(x) = x+1

g(x) =x2

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

Answer: 18(a)-89=217

Step-by-step explanation:

If a = 17 then you substitute/replace the a with the 17. Making 18(a) into 18(17). 18(17)= 306 - 89 = 217.

Hope this helped.

Answer:217

Step-by-step explanation:

putting the value of a in the equation.

18×17-89= 217

Answer:

A small bar of gold measures 40 mm by 25 mm by 2 mm. One cubic millimeter of gold weighs about 0.0005 ounce. Find the volume in cubic millimeters and the weight in ounces of this small bar of gold.

Answer:

The half-life of this substance is of 569.27 days.

Step-by-step explanation:

Amount of a substance after t days:

The amount of a substance after t days is given by:

\(P(t) = P(0)e^{-kt}\)

In which P(0) is the initial amount and k is the decay rate, as a decimal.

Suppose a sample of a certain substance decayed to 69.4% of its original amount after 300 days.

This means that \(P(300) = 0.694P(0)\). We use this to find k.

\(P(t) = P(0)e^{-kt}\)

\(0.694 = P(0)e^{-300k}\)

\(e^{-300k} = 0.694\)

\(\ln{e^{-300k}} = \ln{0.694}\)

\(-300k = \ln{0.694}\)

\(k = -\frac{\ln{0.694}}{300}\)

\(k = 0.0012\)

So

\(P(t) = P(0)e^{-0.0012t}\)

What is the half-life (in days) of this substance?

This is t for which P(t) = 0.5P(0). So

\(0.5P(0) = P(0)e^{-0.0012t}\)

\(e^{-0.0012t} = 0.5\)

\(\ln{e^{-0.0012t}} = \ln{0.5}\)

\(-0.0012t = \ln{0.5}\)

\(t = -\frac{\ln{0.5}}{0.0012}\)

\(t = 569.27\)

The half-life of this substance is of 569.27 days.

Answer:

  30 ft

Step-by-step explanation:

The Pythagorean theorem can be used to find the length of the unknown side. It tells you the sum of the squares of the legs is equal to the square of the hypotenuse.

  12² +a² = 13²

  a² = 169 -144 = 25

  a = √25 = 5

The sum of the side lengths is ...

  (12 +5 +13) ft = 30 ft

The perimeter is 30 feet.

Answer: one hundred and five over three

Step-by-step explanation:

Answer: 57 i did the test

Step-by-step explanation:

The polynomial with the given zeros is:;

P(x) = (300/108)*x*(x + 1)*(x - 1)*(x - 3/2)

Remember that if a polynomial has the zeros a, b, c, and d, then we can write it as:

P(x) = K*(x - a)*(x - b)*(x - c)*(x - d)

Where K is a coefficient.

Here the zeros are 0, -1, 1, 3/2

Then we can write:

P(x) =K*(x - 0)*(x + 1)*(x - 1)*(x - 3/2)

P(x) =K*x*(x + 1)*(x - 1)*(x - 3/2)

We also know that when x = -3, P(x) = 300

Then we can write:

300 = K*(-3)*(-3 + 1)*(-3 - 1)*(-3 - 3/2)

300 = K*(-3)*(-2)*(-4)*(-9/2)

300 = K*108

300/108 = K

Then the polynomial is:

P(x) = (300/108)*x*(x + 1)*(x - 1)*(x - 3/2)

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Answer:

below

Step-by-step explanation:

q=9/2

The solution of the proportion for the value of q will be 9 / 2.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 2 / 3 = 3 / q. The expression will be solved as:-

2 / 3 = 3 / q

q = ( 3 x 3 ) / 2

q = 9 / 2

Therefore, the solution of the proportion for the value of q will be 9 / 2.

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The algebric expression -1/4 + 3/5 is equal to 7/20 when simplified.

To solve the expression -1/4 + 3/5, we need to find a common denominator for the fractions and then perform the addition.

The common denominator for 4 and 5 is 20. We can rewrite the fractions with this denominator:

-1/4 = -5/20

3/5 = 12/20

Now that the fractions have the same denominator, we can add them:

-5/20 + 12/20 = (-5 + 12)/20 = 7/20

Therefore, -1/4 + 3/5 is equal to 7/20.

To further simplify the fraction, we can check if there is a common factor between the numerator and denominator. In this case, 7 and 20 have no common factors other than 1, so the fraction is already in its simplest form.

Thus, the final answer is 7/20.

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Answer:

Danica made 11 dollars per hour.

Step-by-step explanation:

Divide- 440/40=11

Check 11*40=440

She made 11 dollars per hour.

Answer:11

Step-by-step explanation:

A percentage is a fraction, where the denominator is always equal to 100. So 5% is equal to:

If we multiply this fraction with the value, we should be able to determine how much of that value is equal to 5%.

The result is 16.05.

Answer:

16.05

Step-by-step explanation:

Answer:

study my ___________ I hope it helps

2x-5+5>7+5

2x>12

2x partido de 2 > 12 partido de 2 :

x>6

Answer:

p=143.2-1.2b

Step-by-step explanation:

Subtract 3b; 2.5p=358-3b

divide by 2.5; 143.2-1.2b

Answer:

(1,2)

Step-by-step explanation: The x = 1 and the y = 2

Answer:

Distributive Property

Step-by-step explanation:

5y + 2 + 6 + 2y

= 5y + 2(y + 3) + 2 This is the distributive property of multiplication w.r.t. addition

= 6y − y + 2y + 10 − 4 + 2

The distributive property of multiplication with respect to addition  is the one  which separates each term by using multiplication and then addition.

So we see that 2 is multiplied with y and 3 and then added with the like terms. If there was a minus sign the property would be distributive over subtraction.

The distance between two points in three-dimensional space is a measure of the separation between the two points. In this case, the two points are the center of a sphere and a point that the sphere passes through.

To find the distance, we can use the distance formula in three dimensions, which is an extension of the distance formula in two dimensions. The distance formula is:

d = √((x1 - x2)^2 + (y1 - y2)^2 + (z1 - z2)^2)

where (x1, y1, z1) is the center of the sphere and (x2, y2, z2) is the point that the sphere passes through. The square root of the sum of the squares of the differences between the corresponding coordinates gives the distance between the two points.

In this problem, the center of the sphere is not given, so it is not possible to calculate the distance between the sphere and the point. The center of the sphere is a crucial piece of information needed to solve this problem.

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Answer:

22. Congruent traingle

24. Similar traingle

We need to compare their corresponding sides and angles to determine if the two triangles are congruent or similar.

Attached flowchart to help you determine if two triangles are congruent or similar: See Attachment:

Properties of the similar triangle:

Properties of the Congruent Triangle:

Answer:

none of the answers are correct because 2 and 5 are across      

( don't know how to explain it) and they have to be the same

Answer:

5x-10

Step-by-step explanation:

expand to 9x-12-4x+2

collect like terms.

5x-10

Answer:

-12x+20.

Step-by-step explanation:

I got it by multiplying the bracketed numbers by the -4.