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marta [7]
3 years ago
10

Help, please :)I really appreciate if you help me with steps as well, thanks! <3​

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
8 0

Answer:

Step-by-step explanation:

All we have to do here is to find the measure of the central angle; the measure of the central angle of a circle is the same measure as the arc it intercepts. Angle DQE in degrees = arc DE in degrees. Use the arc length formula to find the measure of the central angle:

AL=\frac{\theta}{360}*2 \pi r and filling in:

8.73=\frac{\theta}{360}*(2)(3.14)(10) which simplifies to

8.73=\frac{62.8\theta}{360} which simplifies a bit more to

\frac{360(8.73)}{62.8}=\theta so

\theta=50.04 degrees. That means that arc DE also measures 50.04 degrees.

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twice the smaller of two consecutive integers increased by the larger integer is at least 25. what is the number?
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3 years ago
Given that $x \le -7,$ identify all the correct conclusions. (A) $3x \le -21.$ (B) $3x \ge -21.$ (C) $-3x \le 21.$ (D) $-3x \ge
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Answer:

Options A and D are correct choices.

Step-by-step explanation:

We have been given an inequality x\leq -7 and we are asked to find the correct options from our given choices.

Let us solve inequalities in our given options one by one to see which of these matches with our given inequality.

(A) 3x\leq -21  

x\leq \frac{-21}{3}

x\leq -7

We can see that option A gives the same answer as our given inequality, therefore, option A is the correct choice.

(B) 3x\geq -21

x\geq \frac{-21}{3}

x\geq -7

This inequality represented in option C gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option B is incorrect.

(C) -3x\leq 21

Dividing inequality by a negative number swaps inequality sign.

x\geq \frac{21}{-3}

x\geq -7

This inequality gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option C is incorrect.

(D) -3x\geq 21  

Dividing inequality by a negative number swaps inequality sign.

x\leq \frac{21}{-3}

x\leq -7

We can see that option D gives the same answer as our given inequality, therefore, option D is the correct choice.  

8 0
3 years ago
Mary buys a reel of thread for sewing. There are 10 m of thread on the real. She uses 210 cm. How much is left on the reel in ce
babunello [35]

Answer:

the length of the thread remaining is 790 cm

Step-by-step explanation:

Given;

original length of the thread, L₀ = 10 m = 1000 cm

the length of the thread used, L₁ = 210 cm

The length of the thread remaining is calculated as follows;

ΔL = L₀ - L₁

ΔL = 1000 cm - 210 cm

ΔL = 790 cm

Therefore, the length of the thread remaining is 790 cm

5 0
3 years ago
Here are two sums.
max2010maxim [7]

Answer:

6/7 - 1/3

Step-by-step explanation:

You know that 1/2=0,5

Then, you have to solve the two sums:

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6/7-1/3=((6*3)-(7*1))/(7*3)=(18-7)/21=11/21=0,5238=0,52

You now know what number of 0,47 and 0,52 is closer to 0,5; which is 0,52

0,47 is to 0,03 from 0,5

0,52 is to 0,02 from 0,5

4 0
3 years ago
Read 2 more answers
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