What is the circumference of this circle

Answer:

B. 25√3

Step-by-step explanation:

Use trigonometric ratio formula to find the length and width of the rectangle

Thus:

✔️Length of diagonal:

Reference angle = 30°

Hypotenuse = 10

Let length of rectangle = x = adjacent side

Therefore:

Cos 30° = x/10

10*cos 30 = x

10*√3/2 = x (cos 30 = √3/2)

5√3 = x

x = length of rectangle = 5√3

✔️Width of diagonal:

Reference angle = 30°

Hypotenuse = 10

Let width of rectangle = y = opposite side

Therefore:

Sin 30° = y/10

10*sin 30 = y

10*½ = y (sin 30 = 1/2)

5 = y

y = width of rectangle = 5

✔️Area of rectangle = length * width = 5√3 * 5 = 25√3

Answer:

step-by-step in attachment

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i think

Answer:

30+6x ≤ 100 (inequality)

The maximum amount of rides is 11 rides

Step-by-step explanation:

So first the admission fee is 30

Each ride is 6

So since you can go on any amount of rides, its unknown so (x)

You only have a 100 dollars and you can’t go over but you can go lower

so 30+6x≤100

If you solve it

x≤11

So 11 rides

Answer:

[tex]Area = 6.5 * 10^3cm^2[/tex] or [tex]Area = 6.5E3\ cm^2[/tex]

Step-by-step explanation:

Given

[tex]Width = 1.5 * 10^2cm[/tex]

[tex]Length = 4.3 * 10^1cm[/tex]

Required

Determine the Area

The base area is calculated as:

[tex]Area = Length * Width[/tex]

[tex]Area = 1.5 * 10^2cm * 4.3 * 10^1 cm[/tex]

Reorder the expression

[tex]Area = 1.5 * 4.3 * 10^1 cm* 10^2cm[/tex]

[tex]Area = 6.45 * 10^1 cm* 10^2cm[/tex]

Apply law of indices

[tex]Area = 6.45 * 10^{1+2}cm^2[/tex]

[tex]Area = 6.45 * 10^3cm^2[/tex]

Approximate

[tex]Area = 6.5 * 10^3cm^2[/tex]

or

[tex]Area = 6.5E3\ cm^2[/tex]

Answer:

Step-by-step explanation:

6x^8 X y^5

4x^5 X z^8

12a^9 X b^7

6s^9 X t^3

The solution of the expression in the form of 2ⁿ is,

⇒ 2⁴

Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.

We have to given that;

The expression is,

⇒ (2 x 2 x 2 x 2 x 2 x 2 x 2 x 2) / (2 x 2 x 2 x 2)

Now, We can write the expression in the form of 2ⁿ as;

⇒ (2 x 2 x 2 x 2 x 2 x 2 x 2 x 2) / (2 x 2 x 2 x 2)

⇒ 2⁸ / 2⁴

⇒ 2⁸ ⁻ ⁴

⇒ 2⁴

Thus, The solution of the expression in the form of 2ⁿ is,

⇒ 2⁴

Learn more about the multiplication visit:

https://brainly.com/question/10873737

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Answer:

A∩B={7,9}

Option A is correct option.

Step-by-step explanation:

We are given:

A = {3, 5, 7, 9} and B = {1, 2, 4, 6, 7, 9}

and we need to find A intersects with B i.e. A∩B

We find A intersects with B, we will consider only those terms that are common in both A and B

So,

A∩B= {3, 5, 7, 9} ∩ {1, 2, 4, 6, 7, 9}

As 7 and 9 are only common in both A an B

A∩B={7,9}

So, we get: A∩B={7,9}

Option A is correct option.

Answer:

600x

Step-by-step explanation:

brainliest plssssss

Answer:

x= 29/15

Step-by-step explanation:

Answer:

Step-by-step explanation:

Perimeter = 5+x+5+x = 10 + 2x

10 +2x = 120

2x = 110

x = 55

Answer:

For f(x) to be differentiable at 2, k = 5.

Step-by-step explanation:

For f(x) to be differentiable at x = 2, f(x) has to be continuous at 2.

For f(x) to be continuous at 2, the limit of f(2 – h) = f(2) = f(2 + h) as h tends to 0.

Now,

f(2 – h) = 2(2 – h) + 1 = 4 – 2h + 1 = 5 – 2h.

As h tends to 0, lim (5 – 2h) = 5

Also

f(2 + h) = 3(2 + h) – 1 = 6 + 3h – 1 = 5 + 3h

As h tends to 0, lim (5 + 3h) = 5.

So, for f(2) to be continuous k = 5

Answer:

6/10 hours  

Step-by-step explanation:

36 minutes/ 60 minutes

divide by 6 on both sides

36/6= 6       60/6=10

6/10 hours

probably bad explaining but hope this helps :)

Answer:

27

Step-by-step explanation:

Answer:

$500

Step-by-step explanation:

Today the price of a Jeep is $25,000.

In 1970, the price was $5,000.

We need to find the relative price. It can be calculated as follows :

[tex]P=\dfrac{25000}{5000}\times 100\\\\P=\$500[/tex]

So, the relative price is $500.

Answer:

2042.6$

Step-by-step explanation:

12853(5/100)+1400

Answer:

A.S.A congurency.

please mark me brainliest and follow me my friend.

Step-by-step explanation:

-34 = x² - 14x + 10

x² - 14x + 44 = 0

(x - 7)² - 5 = 0

(x - 7)² = 5

x = √5 + 7 or x = -√5 + 7.

Answer:

the correct answer is

x^2+16x−2=11 - equation simplified

7 the root of 5 - answer

Step-by-step explanation:

Answer:

Tina will be able to sell 24 beignets

Answer:

Step-by-step explanation:

[tex]\tan (x-\frac{\pi }{2} )=\frac{tan~x-tan~\frac{\pi }{2} }{1+tan~x~tan~\frac{\pi }{2} } \\or~\cot(x-\frac{\pi }{2} )=\frac{1+\tan~x~\tan\frac{\pi }{2} }{\tan~x-\tan~\frac{\pi }{2} } \\divide~the~R.H.S. ~by~\tan ~x~\tan~\frac{\pi }{2} \\=\frac{\cot~x~\cot~\frac{\pi }{2} +1 }{\cot~\frac{\pi }{2} -\cot~x} \\\cot\frac{\pi }{2} =0\\\cot(x-\frac{\pi }{2} )=\frac{\cot~x ~\times~0+1}{0-\cot~x} \\\cot~(x-\frac{\pi }{2} )=-\frac{1}{\cot~x} =-\tan~x[/tex]

Answer:

60

Step-by-step explanation:

180 divided by 3 is 60 so its 60mph

Answer:

60 miles per hour

Step-by-step explanation:

To get the mph, you have to divide the miles traveled by the time, so 180 divided 3 = 60 mph.

(hope this helps!)

Answer:

Step-by-step explanation:

23 x .565 = 12.995

12.995 rounded is 13.

So if the answer is .565, and you need to round to the nearest percent, it would be 57%.

Answer:

Step-by-step explanation:

1) Decreased students = 23 -13 = 10

Decreased percentage = [tex]\frac{10}{23}*100[/tex]

                                       [tex]= \frac{1000}{23}\\\\= 43.47[/tex]

                                       = 43%

2) Increased amount = 81 - 68 = $ 13

Increased percentage = [tex]\frac{13}{68}*100[/tex]

                                     [tex]= \frac{1300}{68}\\\\= 19.11[/tex]

                                    = 19%

Answer:

13

Step-by-step explanation:

First you need to divide579/48 to find the number of busses if each carries 48 which equals 12.062 but you cant put a portion of the people in 1/100th of a bus so 13 busses

Answer:

ok so you need to just do

Step-by-step explanation:

y x 575 = 575

              constant

Answer:

[tex]\sqrt{3}[/tex]

Step-by-step explanation:

tanx=[tex]\frac{sinx}{cosx}[/tex]

sin60°/cos60°=[tex]\frac{\sqrt{3} }{2} / \frac{1}{2}[/tex]= [tex]\sqrt{3}[/tex]

Answer:

131

Step-by-step explanation:

You just put the biggest number in the box, and then you divide by the lower number.

Answer:

nswer:- B. No, because the corresponding congruent angles listed are not the included angles. Given:- ΔWXY and ΔBCD with ∠X ≅∠C, WX ≅ BC, and WY ≅ BD. We can see that ∠X and ∠C are not included angles by the corresponding equal sides.

Answer:

Yes

Step-by-step explanation:

I will write it in the form of a theorem

Given:

X=C; WX=BC;WY=BD

To prove:

WXY = BCD

Proof:

X=C (This is a angle)

WX=BC

WY=BD

Since there is an angle between two equal side for both triangle WXY is congruent or '=' BCD ny SAS.

Answer: D

Step-by-step explanation:

Answer:

here is your answer.....

Step-by-step explanation:

2 + h - 4 = 0

LHS:

2 - 4 + h

-2 + h

Therefore:

-2 + h = 0

h = 0 - 2

h = - 2

SO,

the value of h is -2