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olganol [36]
2 years ago
11

What is the length of AB?​

Mathematics
2 answers:
kozerog [31]2 years ago
8 0

Answer: 6 units

Step-by-step explanation:

I know that in a triangle, there's two angles that have equal measures, then the sides opposite to them are equal in length. Thus, the length of side AB is 6 units.

galben [10]2 years ago
6 0

Answer:

AB = 38.64 m

Step-by-step explanation:

\cos \: 75 \degree =  \frac{10}{x} \\  \\ x =  \frac{10}{ \cos \: 75 \degree }   \\  \\ x = 38.637033052 \\  \\ x \approx \: 38.64

AB = 38.64 m

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The student council is selling cupcakes at the school play. ​The cost to ​make the cupcakes is a fixed $75 plus $0.17 per cupcak
dedylja [7]

Answer:

C = 75 + 0.17x and R = 2x

2x - (75 + 0.17x) > 0

x ≥ 41

Step-by-step explanation:

The cost to make the cupcakes is a fixed $75 plus $0.17 per cupcakes made and the selling price of each cupcake is $2.00.

Part A: Now, the equation for the cost, C, for making x cupcakes is  

C = 75 + 0.17x ......... (1)

Again the equation for the revenue, R, from selling x cupcakes is

R = 2x ............ (2)

Part B: So, the inequality that could be solved to find the number of cupcakes, x, that must be made and sold to make a profit is  

R - C > 0

2x - (75 + 0.17x) > 0 ......... (3)

Part C: Solving inequality (3) we get

(2 - 0.17)x > 75

⇒ x > 40.98

⇒ x ≥ 41 {Since, x can not be a fraction}

(Answer)

3 0
3 years ago
A mathematics journal has accepted 14 articles for publication. However, due to budgetary restraints only 7 articles can be publ
butalik [34]
The total number of articles is 14 and only 7 can be published. Since what is asked is the ways to assemble the 7 articles, this is a permutation problem.
14P7 = <span>17297280 ways
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7 0
3 years ago
Read 2 more answers
Which of the following is 12 when rounded to the nearest number?
ANTONII [103]
Option #2 
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3 years ago
Which explanation can be used to derive the formula for the circumference of a circle?
Gelneren [198K]

Answer: The answer is the first explanation.


Step-by-step explanation:  We are given five different options and we are to select which explanation is correct to derive the formula for a circumference of a circle.

Let 'C' be the circumference and 'd' be the diameter of a circle. Now, we will write the ratio of the circumference to the diameter as

\dfrac{\textup{C}}{\textup{d}}.

Also, we know that

\dfrac{\textup{C}}{\textup{d}}=\pi.

And diameter of a circle is twice the radius, so

d=2r.

Therefore,

\dfrac{\textup{C}}{2\textup{r}}=\pi\\\\\Rightarrow \textup{C}=2\pi \textup{r}.

This is the formula for the circumference of a circle. Since this explanation matches exactly with the first option, so the correct option is

(a). Find the relationship between the circumference and the diameter by dividing the length of the circumference and length of the diameter. Use this quotient to set up an equation to showing the ratio of the circumference over the diameter equals to π . Then rearrange the equation to solve for the circumference. Substitute 2 times the radius for the diameter.


8 0
2 years ago
Charles wants to analyze his last 9 math test scores with a
dexar [7]

Answer:

80,84,86,87, 91, 92, 90,94, 100

Step-by-step explanation:

Order them from low too high number grades.

6 0
3 years ago
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