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3 years ago

Please help me with this question

Mathematics

1 answer:

olchik [2.2K]3 years ago

6 0

9514 1404 393

Answer:

40.0 square inches

Step-by-step explanation:

The radius of each pie is half its diameter. The difference of areas can be found by using the area formula for each pie.

A = πr²

ΔA = π(10/2 in)² -π(7/2 in)² = (π/4)(100 -49) in² = 3.14(12.75 in²) ≈ 40.0 in²

The larger pie has a greater area by about 40.0 square inches.

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What is the 101st term for the sequence 13, 9, 5, 1... ?

NeX [460]

Step-by-step explanation:

a=13
d=13-9=4

${:}\longrightarrow$ $\sf S_n={\dfrac {n}{2}}\left [2a-(a-1)d\right]$

${:}\longrightarrow$ $\sf S_101={\dfrac {101}{2}}\left [26 (12)4\right]$

${:}\longrightarrow$ $\sf 50.5×1248$

${:}\longrightarrow$ $\sf S_101=63504$

${:}\longrightarrow$ $\sf a_n=a+(n-1)d$

${:}\longrightarrow$ $\sf a_101=13+(101-1)-4$

${:}\longrightarrow$ $\sf a_101=13+100(-4)$

${:}\longrightarrow$ $\sf 13-400$

${:}\longrightarrow$ $\sf a_101=-387$

8 0

3 years ago

Use the approach in Gauss's problem to find the sums of the arithmetic sequences below

I am Lyosha [343]

Answer:

15150 is the required sum.

Step-by-step explanation:

Gauss method of summing sequences like this is to add the first term to the last term, the second term to the second to the last term and so on until you get to the middle. By doing this, you will always get the same sum. Then you divide the number of terms by two, because you are technically adding the first half of the sequence to the second half. You then multiply the sum of each pair that gave the same number with the number of terms that has been divided by 2. For this problem we have:

3 + 300 = 303

6 + 297 = 303

9 + 294 = 303

and so on.

100÷ 2 = 50.

Therefore we have 50 * 303 = 15150 is the required sum.

5 0

3 years ago

A side of the triangle below has been extended to form an exterior angle of 62°. Find the value of xx.

umka21 [38]

Answer:

Photo?

Step-by-step explanation:

If there is a photo linked I dont see it

Also: Dont click the stpid link below its malware

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3 years ago

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olganol [36]

Answer:

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Step-by-step explanation:

10% of 82 is 8.2

82 - 8.2 = 73.8

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3 years ago

PQRS is a quadrilateral. <br> PST is a straight line.<br><br> Find the value of y

GenaCL600 [577]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since pqrs is a quadrilateral

Total interior angle = 360 (keep in mind)

>PSR = 360-(65+130+95)

>PSR= 360-290= 70

* PST is a straight line :- >PSR + Y = 180 (sum of angle on a straight line)

:. Y= 180-70= 110.

8 0

3 years ago