Practice solving problems involving the area Assignment Which are true about the area of a circle? Check all that apply. The diameter is used in the formula. The units are always squared. The area can be found when given the diameter by first finding the radius. The area is the distance around the circle. Circumference can be used to find area. ​

Because [tex]a_1[/tex] through [tex]a_{10}[/tex] are in arithmetic progression, there is some fixed number [tex]d[/tex] between consecutive terms. This means we have

[tex]a_2 = a_1 + d[/tex]

[tex]a_3 = a_2 + d = a_1 + 2d[/tex]

[tex]a_4 = a_3 + d = a_1 + 3d[/tex]

and so on, with the general [tex]n[/tex]-th term

[tex]a_n = a_1 + (n-1) d[/tex]

Then we can write each given equation in terms of [tex]a_1[/tex] and [tex]d[/tex] :

[tex]a_1 + a_3 + a_5 + a_7 + a_9 = 17[/tex]

[tex]\implies a_1 + (a_1+2d) + (a_1+4d) + (a_1 + 6d) + (a_1 + 8d) = 17[/tex]

[tex]\implies 5a_1 + 20d = 17[/tex]

and

[tex]a_2 + a_4 + a_6 + a_8 + a_{10} = 15[/tex]

[tex]\implies (a_1+d) + (a_1+3d) + (a_1+5d) + (a_1+7d) + (a_1+9d) = 15[/tex]

[tex]\implies 5a_1+25d= 15[/tex]

Eliminate [tex]d[/tex] and solve for [tex]a_1[/tex] :

[tex]5 (5a_1 + 20d) - 4 (5a_1 + 25d) = 5\times17-4\times15[/tex]

[tex]\implies 5a_1 = 25[/tex]

[tex]\implies \boxed{a_1 = 5}[/tex]

Answer:

supermax makes it go fast

Step-by-step explanation:

Answer:

41/100.

Step-by-step explanation:

Per cent (%)  means 'per hundred'.

as a fraction: 41/100.

As a decimal it is 0.41.

Answer:

total surface area = 324 m²

lateral surface are = 132 m²

top surface area = 96 m²

bottom surface area = 96 m²

Answer:

image below

Step-by-step explanation:

Answer:

Step-by-step explanation:

In the question, there's an quadrilateral whose sum of all exterior angle is 360°.

140° + 34° + 56° + x = 360°

➝ 230° + x = 360°

➝ x = 360° - 230°

➝ x = 130°

Thus, The value of x is 130°.

Answer:

x = 0  ;  x = 1

Step-by-step explanation:

[tex]\sqrt{x^{12}} =x[/tex]

[tex]\Longleftrightarrow \sqrt{x^{6\times 2}} =x[/tex]

[tex]\Longleftrightarrow \sqrt{\left( x^{6}\right)^{2} } =x[/tex]

[tex]\Longleftrightarrow |x^{6}|=x[/tex]

[tex]\Longleftrightarrow x^{6}=x\ \ \ ;\ |x^{6}|=x^{6}[/tex]

[tex]\Longleftrightarrow x^{6}-x=0[/tex]

[tex]\Longleftrightarrow x(x^{5}-1)=0[/tex]

[tex]\Longleftrightarrow x=0 \ \ or\ \ (x^{5}-1)=0[/tex]

[tex]\Longleftrightarrow x=0\ \ or\ \ x^{5}=1[/tex]

[tex]\Longleftrightarrow x=0\ \ or\ \ x=1[/tex]

Answer:

x = 0.7401 ± 0.7401i, x = 0

Step-by-step explanation:

(6 • (x^2)) +  5x^6  = 0

(2•3x^2) +  5x^6  = 0

5x^6 + 6x^2 = x^2 • (5x^4 + 6)

x^2 • (5x^4 + 6) = 0

x^4 = -6/5 = -1.200

x  =  ∜ -6/5

⇒ Proven by the equations, there are no real solutions, so we can use imaginary i, or zero as our answer.

→ x = 0

→ x = 0.7401 ± 0.7401i

Answer:

2,160 mm³

Step-by-step explanation:

Q5

Answer:

Answer is 2^2x+6=2^6 since it is equivalent to 4^x+3=64

The equivalent equation of  [tex]4^x^+^3=64[/tex] is [tex]2^6^x^+^6=2^6[/tex], option B is correct.

The given equation is [tex]4^x^+^3=64[/tex]

Four to the power of x plus three equal to sixty four

x is the variable in the equation

We have to find the equivalent equation

We know that 2×2×2× 2×2×2 , 2⁶=64

[tex]4^x^+^3=2^6[/tex]

Now [tex](2^2)^x^+^3=2^6[/tex]

[tex]2^6^x^+^6=2^6[/tex]

Hence, the equivalent equation of  [tex]4^x^+^3=64[/tex] is [tex]2^6^x^+^6=2^6[/tex], option B is correct.

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Answer:

130

Step-by-step explanation:

[tex](35*4)-(10*1)-(5*0)=130[/tex]

Answer:

  M(-1/2, -1/2, 1/2)

Step-by-step explanation:

To find the midpoint of a line segment, average the coordinates of the end points.

  M = (A +B)/2

__

  M = (V +W)/2

  M = ((3, 7, -6) +(-4, -8, 7))/2 = (3-4, 7-8, -6+7)/2 = (-1, -1, 1)/2

  M = (-1/2, -1/2, 1/2)

The midpoint between V and W is M(-1/2, -1/2, 1/2).

Answer:

1152$

Step-by-step explanation:

b1 = 7/8 C

b2 = 5/6 b1 = 35/ 48 C

7/8 C + 35/48 C = C + 696

42/48 C + 35/48 C = 48/48 C + 696 * 48/48

(42 + 35 - 48 ) C = 696 * 48

29 C = 33408

C =1152.

Answer:

3

Step-by-step explanation:

4 layers 15 cubes

the total amount of cubes =5*3*4

1)The relative frequency of those who own a smartphone will be 45%.

2)A middle school student is more likely to own a smartphone than an elementary school student. Option C is correct.

Assume you need to compute the joint relative frequency of a certain category inside a larger category.

Then there's the proportion of that specific category's frequency to the total frequency of that large category.

Given data;

The total number of persons polled:

⇒216 (26 + 84 + 72 + 34)

⇒216

The number of persons who own a smartphone is calculated as follows:

⇒26 + 72

⇒98

The relative  frequency of those who own a smartphone is calculated as;

[tex]\rightarrow\frac{98}{216} \times 100 \\\\ \rightarrow45 \%[/tex]

Hence,the relative frequency of those who own a smartphone will be 45%

2)A middle school student is more likely to own a smartphone than an elementary school student. Because the total of the middle school is more than the elementary school.

Hence,option C is correct.

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Answer:

Choice D, 20 inches.

Step-by-step explanation:

The Pythaogorean theorem tells us that the hypotenuse of a triangle, c, can be found by taking: c = [tex]\sqrt{a^{2} +b^{2}}[/tex]. In this case, a = 3 and b = 4. So:

c = [tex]\sqrt{a^{2} + b^{2} }[/tex]

c = [tex]\sqrt{3^{2} + 4^{2} }[/tex]

c = [tex]\sqrt{9 + 16}[/tex]

c = [tex]\sqrt{25}[/tex]

c = 5

The sides of a rhombus are all equal. Given that one side is equal to 5, we can simply multiply 5 by 4 to get 20. The perimeter is 20 inches.

Answer:

D. 20 in

Step-by-step explanation:

Finding the side of the rhombus :

Perimeter :

She made a mistake on step 3

The [tex]18^2+24^2[/tex] is not the same as [tex](18+24)^2[/tex]

This is what her steps should look like

[tex]a^2 + b^2 = c^2\\\\18^2 + 24^2 = 30^2\\\\324 + 576 = 900\\\\900 = 900\\\\[/tex]

Since we get the same number on both sides, this means the last equation is true. This means the first equation is also true. Therefore, she does have a right triangle. Refer to the converse of the pythagorean theorem for more info.

Answer: The answer is in fact C.

Step-by-step explanation:

I am the lizard king, I can do anything.

Answer:

I think it's 55

Step-by-step explanation:

10C3 + 5C3

Answer:

390, since the answer I got was 377, and we are estimating so that’s the best estimate.

we have three sides, let's look at the two smaller sides first.

check the picture below atop.

if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side?  Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 8 - 3 = 5.  However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle.  So whatever the third side may be, it must be greater than 5.

check the picture below at the bottom

Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 3 + 8 = 11.  However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle.  So whatever the third side may be, it must be less than 11.

so the third side being 11 is a no dice.

The length of the chord RT, PQ, and RS will be 5, 14, and 13. Then the correct option is C.

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

The graph is given below.

The ratio will remain constant. Then we have

y/10 = 4/8

    y = 5

Then the length of PQ will be

PQ = 4 + 10

PQ = 14

Then the length of RS will be

RS = 5 + 8

RS = 13

More about the circle link is given below.

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Answer:

-16 -14 -12

Step-by-step explanation:

This is the answer because if you subtract -18 from 2, you would get -16 and so on and so on.

Given

To find

We can see MN is intercepted by the angle MPN.

Inscribed angle is half the measure of intercepted arc

The answer is mMN = 70°

Given

To find

See the solution with reasons for each line

So the answer is m∠COD = 120°

Answer:

there are 120 slices of orange.

Step-by-step explanation:

The reason for this is because if theres 10 slices per orange, and there is 12 oranges, you multiply 10x12 and you get 120 slices.

Answer:

V=0

Hope it helps

Answer:

$26.2

Step-by-step explanation:

5*2.50 is 13 for video games

4*3.30 is 13.2 for DVD

Sum them up and you get 26.2

Answer:

40 : 1

Step-by-step explanation:

40 miles / 1 hour = 40 : 1

Answer:

i = 17 Years old
ii = 25 years

Step-by-step explanation:

i = 12 + 5 =17

ii = his son was born when he was 9, hes 12 now, so his sons 3. In 5 years time his sons 8 and hes 17, 8+17= 25

Answer:

(6.5,3.5)

Step-by-step explanation:

(6+7)÷2=6.5

(3+4)÷2=3.5