MATHEMATICS HIGH SCHOOL

If c is the midpoint of segment ab and ab = 20, what is ac? a.5 b.10 c.20 d.40

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

given that c is the midpoint of segment ab and ab = 20

Then ac is one half of ab

ac = $(1)/(2)$ × 20 = 10

Answer 2

Answer:

Final answer:

In Geometry, a midpoint divides a line segment into two equal parts. So, if C is the midpoint of line segment AB with a total length of 20 units, the length of segment AC is 10 units.

Explanation:

The subject of this question is in the area of Geometry, specifically, it's about understanding the concept of a midpoint in a line segment. In a line segment AB, if C is the midpoint, it divides the line segment AB into two equal parts. So, if the total length of AB is 20 units, then the lengths of AC (from A to C) and BC (from B to C) are both equal to half of the total length. Hence, the length of segment AC is

10 units

. This is the concept of a midpoint which divides any given segment into two halves.

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Your baseball team is selling bags of popcorn to raise money for a trip. For each bag of popcorn you sell, $4 goes towards your trip. You hope to earn at least $140 for the trip. Write and solve an inequality that represents the numbers x of bags of popcorn you must sell to reach your goal.
Solve the proportion = A).5 B).1 C).10 D).2
HELP WANTED ASAP PLEASE!!!!

How do I solve n+6 for n=9

Answers

Answer:

Step-by-step explanation:

n + 6

for

n = 9

then:

9 + 6 = 15

Step-by-step explanation:

n=9

n+6=9+6=15

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HELP ASAP!! PLEASE AND THANK YOU!!!!Given ABCDE ~ LMNOP and CD = 16, DE = 18, and NO = 12, what is OP?

Answers

ABCDE and LMNOP are similar.
This means that each corresponding side scales by the same amount from one to the other.

AB scales to LM just as BC does to MN...

and CD to NO just as DE does to OP!

Now, let's make a proportion.

NO/CD = OP/DE

12/16 = OP/18

Simplify...

3/4 = OP/18

13.5 = OP

Eliminate the parameter to find the cartesian equation of the curve: x=7sinθ,y=cos2θ,−π2≤θ≤π2 x=7sin⁡θ,y=cos2⁡θ,−π2≤θ≤π2 the equation of the curve is: y = equation editorequation editor from x = equation editorequation editor to x =

Answers

Answer:

$y = 1 - (2)/(49)\cdot x^(2)$

Step-by-step explanation:

The parametrical components of the curve are:

$x = 7 \cdot \sin \theta$ and $y = \cos 2\theta$

After some trigonometrical and algebraic handling, the parametrical variable is eliminated in the resulting expression:

$y = \cos^(2)\theta - \sin ^(2)\theta$

$y = 1 - 2\cdot \sin^(2)\theta$

$y = 1 - 2\cdot \left((x^(2))/(49) \right)$

$y = 1 - (2)/(49)\cdot x^(2)$

Final answer:

To eliminate the parameter and find the Cartesian equation of the curve x = 7sin⁡θ,y = cos2⁡θ, we can express x in terms of θ, rearrange the equation, and substitute it into the other equation to eliminate the parameter θ. The resulting equation 2(x/7)² + y - 1 = 0 represents the Cartesian equation of the curve.

Explanation:

To eliminate the parameter and find the Cartesian equation of the curve, we can express x in terms of θ using the given equation x = 7sin⁡θ. Rearranging this equation, we get sin⁡θ = x/7. Similarly, we can express y in terms of θ using the given equation y = cos2⁡θ, which can be rewritten as cos⁡(2θ) = y.

Now we can use the trigonometric identity cos⁡(2θ) = 1 - 2sin²⁡θ to eliminate θ from the equations. Substituting this identity into the second equation, we get 1 - 2(sin⁡θ)² = y.

Simplifying this equation, we have 2(sin⁡θ)² + y - 1 = 0. Finally, we can express sin⁡θ in terms of x using the equation sin⁡θ = x/7, and substitute it into the simplified equation to eliminate θ. This gives us 2(x/7)² + y - 1 = 0, which represents the Cartesian equation of the given curve.

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If i have 2 lemons and i give 1 away. how many do i have now?

Answers

1 lemon?

.....................................

Help me factor the trinomial completely

-r^2+6r-9

Answers

-r^2+6r-9 = - ( r^2 - 6r + 9) = - ( r - 3)^2;

Five cakes cost 4.00 how much do 7 cost

Answers

The cost of 7 cakes will be equal to 5.6.

What is an expression?

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 cost of 5 cakes is 4. The cost of 7 cakes will be calculated as,

5 cakes = 4

1 cake = 4 / 5

7 cakes = ( 4 x 7 ) / 5

7 cakes = 5.6

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you need to divide 5/4 and youll get the price for 1 cake (1.25) then just add 2 more times to 5 (6.5) is the total

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