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Answer:

The first can.

Step-by-step explanation:
formula: Pi x diameter x height

1st can has a volume of 113.10
2nd can has a volume of 75.40

The internal angles of 64.801° (2 in total) and 115.199° (2 in total) lead to a maximum area of 27.88 square units.

Quadrilaterals are figures formed by four line segments and whose sum of internal angles equals 360°. By geometry we know that the area of a trapezoid is the average of the length of the two bases (B, b), in inches, multiplied by the height of the quadrilateral.

A = 0.5 · (B + b) · h   (1)

By trigonometry the measure of the longer base and the height of the isosceles trapezoid are, respectively:

B = b + 2 · l · cos θ   (2)

h = l · sin θ   (3)

Where θ is an internal angle, in degrees.

By (2) and (3) in (1):

A = 0.5 · (2 · b + 2 · l · cos θ) · (l · sin θ)

A = (b + l · cos θ) · (l · sin θ)

A = b · l · sin θ + l² · sin θ · cos θ

A = b · l · sin θ + 0.5 · l² · sin 2θ  (4)

If we know that b = 6 in and l = 4 in, then the area of the isosceles trapezoid is represented by the following function:

A = 24 · sin θ + 8 · sin 2θ   (5)

Now we determine the angle associated to the maximum area by graphic approach.

According to this approach, the internal angles of 64.801° (2 in total) and 115.199° (2 in total) lead to a maximum area of 27.88 square units. [tex]\blacksquare[/tex]

To learn more on trapezoids, we kindly invite to check this verified question: https://brainly.com/question/8643562

Answer:

68

Step-by-step explanation:21+6+6+14+21=68

Answer:

82

Step-by-step explanation:

Calculate the area of each part and sum them up

S= 7x3+7x2+7x3+2x3+2x3+7x2

42+28+12

=82

hope this helps!

[tex]\text{Given that,}\\\\\tan x = \dfrac 3{10}\\\\\text{Now,}\\\\\sin 2x = \dfrac{2\tan x}{1+ \tan^2 x}\\\\\\~~~~~~~~=\dfrac{2 \cdot \tfrac 3{10}}{1+ \left(\tfrac 3{10} \right)^2}\\\\\\~~~~~~~~=\dfrac{\tfrac 35}{1+ \tfrac 9{100}}\\\\\\~~~~~~~~=\dfrac{ \tfrac 35}{\tfrac{109}{100}}\\\\\\~~~~~~~~=\dfrac 35 \times \dfrac{100}{109}\\\\\\~~~~~~~~=\dfrac{60}{109}\\\\\\~~~~~~~~=0.5505[/tex]

Answer:

96 inches

Step-by-step explanation:

66 + 30 = 96

Check the picture below.

[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} x_1=0\\ x_2=2 \end{cases}\implies \cfrac{f(x_2)-f(x_1)}{2-0}\implies \cfrac{0~~ - ~~1}{2}\implies -\cfrac{1}{2}[/tex]

Answer:

3/8

Step-by-step explanation:

There was 4/8 (or 1/2) of the pepperoni pizza left, and there was 7/8 of the sausage pizza left. To find out how much more sausage pizza was left than pepperoni pizza, you have to subtract the amount of pepperoni pizza remaining from the amount of sausage pizza remaining.

sausage pizza left - pepperoni pizza left = how much more sausage pizza than pepperoni pizza is left

Now, let's fill in the numbers.

7/8 - 4/8 = ?

7/8 - 4/8 = 3/8

Therefore, there was 3/8 more sausage pizza than pepperoni pizza left.

I hope this helps! Have a lovely day!! :)

Answer:

3/8

Step-by-step explanation:

So there is 7/8 sausage left and 4/8 pep left. The difference between the two is three slices (7/8 - 4/8) which is 3/8th of the whole pizza. This means that 3/8 represents the amount of pizza sausage has that pepperoni doesnt

The three statements that describe this function are the rate of change is $0.75, the initial fee is $2, and a twenty-mile trip is $17.

A function shows the mathematical relation between two factors. In this case, the factors are miles and cost.

Note: This question is incomplete because the image is missing. Here is the image:

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Answer:

9

Step-by-step explanation:

So,

2 is in the units,

4 is in the tens,

1 is in the hundreds,

6 is in the thousands,

9 is in the ten thousands, and

7 is in the hundred thousands.

I hope this is helpful xx

Answer:

9 is in the ten thousands place.

Ahhh yes, the time-honored permutations.

The permutation format, to start with, is P(n, r).

The formula is:

In this instance, we have P(8, 3).

8 will go in for n and 3 for r. So now let's solve.

[tex]\frac{8!}{(8 - 3)!}[/tex]    →   [tex]\frac{8!}{5!}[/tex]   →   [tex]\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1}[/tex]  →   [tex]8*7*6[/tex]  →  [tex]336[/tex]

Therefore 336 is our answer. I hope this answers your question.

-Toremi

Answer:

x=5

Step-by-step explanation:

12^2+x^2=13^2

144+x^2=169

x^2=169-144

x^2=25

x=5

Answer:

5in

Step-by-step explanation:

Sides known=12,13

According to Pythagoras theorem

H²=P²+B²

(13)²=(12)²+(x)²

169=144+x²

169-144=x²

25=x²

x=√25

x=5in

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Answer:

input:   1    2   6   18

output:   5   10   30  90

Step-by-step explanation:

The amount $4,000 deposited by Sam into an IRA account where it earns 9.8% interest, compounded monthly, will be $12903.8  when Sam is 33.

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

At age 25, Sam deposited $4,000 into an IRA account where it earns 9.8% interest, compounded monthly. Thus,

[tex]P=4000\\r=9.8\%[/tex]

Now the worth has to be found out when Sam is 33. Thus, the total time period in year is,

[tex]t=33-25\\t=12\rm\; years[/tex]

Put the values in the formula,

[tex]A=4000\times\left(1+\dfrac{9.8}{12\times100}\right)^{12\times12}\\A\approx12903.8[/tex]

Thus, the amount $4,000 deposited by Sam into an IRA account where it earns 9.8% interest, compounded monthly, will be $12903.8  when Sam is 33.

Learn more about the compound interest here;

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Answer: $8733.01

Step-by-step explanation: I got it right on my quiz

[tex]~~~~~~x + 42^{\circ} + 97^{\circ} =180^{\circ}\\ \\\implies x = 180^{\circ} - 42^{\circ} - 97^{\circ}\\\\\implies x = 41^{\circ}[/tex]

Step-by-step explanation:

or , x + 97° + 42° = 180° ( the sum of interior

angle of triangle is 180° )

or , x + 139° = 180°

or , x = 180° - 139°

x = 41°

Answer:

Large - PR - 15 and QR - 9 Missing degrees is P - 37

Small - Missing degree is 53

They are similar because they have the exca same degrees and if you divided by 3 on each side of the larger triangle you get the small triangle.

Step-by-step explanation:

Pythagorean theorem

Answer:

A=wl=3·10=30

A=30

Step-by-step explanation:

Answer:

Answer is √2+11/2

And you can use calculator to get even more accurate answer though...

Step-by-step explanation:

this is what i get i hope this will hepl you ♡

=========================================================

Explanation:

Along the top row, label the two triangles A and B.

In the bottom row, label the figures as C, D, E. We have C and E as the two surrounding triangles and D as the rectangle.

To find the area of triangle A, we need to find the horizontal side first. Use the pythagorean theorem to get 3 inches across the horizontal portion. We have a 3-4-5 right triangle. The area of triangle A is base*height/2 = 3*4/2 = 6 square inches. Triangle B is a reflected copy of triangle A, so it has the same area.

Triangle C has an area of base*height/2 = 1*5/2 = 2.5 square inches, so does triangle E because it is a mirrored congruent copy.

The rectangle D has an area of base*height = 4*5 = 20 square inches.

-----------------------

We have these areas:

To wrap things up, add up those areas

A+B+C+D+E = 6+6+2.5+20+2.5 = 37 square inches

Answer:

Step-by-step explanation:

y = - 7x ......... (1)

- 14x - 2y = 0 ....... (2)

- 14x - 2y = 0 ⇒ y = - 7x

(1) and (2) are equivalent ⇒ system has infinitely many solutions

Answer:

[tex](i+2)^4[/tex]

Step-by-step explanation:

assuming the equation is [tex](\sqrt{2+i})^8[/tex] this simplifies to [tex](i+2)^4[/tex] where i =[tex]\sqrt{-1}[/tex]

Step-by-step explanation:

[tex]( \sqrt{2 + i} ) {}^{8} = (2 + i) {}^{ \frac{1}{2} \times8 } [/tex]

[tex](2 + i) {}^{4} [/tex]

Split this up

[tex](2 + i) {}^{2} \times (2 + i) {}^{2} [/tex]

Use the Perfect Square Trinomial

[tex](a + b) {}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]

[tex](2 { }^{2} + 2(2)i + {i}^{2} )(2 {}^{2} + 2(2)i + {i}^{2} [/tex]

[tex] {i}^{2} = - 1[/tex]

so

[tex](3 + 4i)(3 + 4i)[/tex]

[tex]9 + 24i - 16[/tex]

[tex] - 7 + 24i[/tex]

Answer:

I think C and D options can be correct

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

I think C and D options can be correct

Step-by-step explanation:

Answer:

M=33/8

Step-by-step explanation:

Answer:

M+4 7/8 =9

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]-3x^2-7x-9=F(x)[/tex]

[tex]F(-5)=-75+40-9=-49[/tex]

[tex]F(2)=-12-14-9=-35[/tex]

[tex]f(-5)+f(2)=-49-35=-84[/tex]

Answer:

Im 98% sure its the first one

Step-by-step explanation:

the diameter of the mitochondrion= 0.00000031 meter.

the diameter of the chloroplast.

3×mito= chloroplast

3 × 0.00000031

=0.00000091

= chloroplast

= 9.1 × 10^-7m

the imprecise diameter of the chloroplast is 9.1 × 10^-7m.

First of all, subtract 5 from both sides:-

13-5<z+5-5

13-5<z

8<z

Since 8 is less than z, z is greater than 8:-

[tex]\bigstar{\boxed{\pmb{z > 8}}[/tex]

Hence, all the numbers greater than 8 will make this inequality true.

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

Let's solve your inequality step-by-step.

13<z+5

Step 1: Flip the equation.

z+5>13

Step 2: Subtract 5 from both sides.

z+5−5>13−5

z>8

Answer:

z>8

Step-by-step explanation:

Given :

⠀

To Find :

⠀

Solution :

⠀

Now,

⠀

According to the Question :

⠀

[tex]{\longrightarrow \qquad \sf{ x + {(x - 26.8)}^{ \circ} = {90}^{ \circ} }}[/tex]

⠀

[tex]{\longrightarrow \qquad \sf{ x + {x - 26.8}^{ \circ} = {90}^{ \circ} }}[/tex]

⠀

[tex]{\longrightarrow \qquad \sf{ 2 {x - 26.8}^{ \circ} = {90}^{ \circ} }}[/tex]

⠀

[tex]{\longrightarrow \qquad \sf{ 2 x = {90}^{ \circ} + 26.8^{ \circ}}}[/tex]

⠀

[tex]{\longrightarrow \qquad \sf{ 2 x = 116.8^{ \circ}}}[/tex]

⠀

[tex]{\longrightarrow \qquad \sf{ x = \dfrac{116.8^{ \circ}}{2}}}[/tex]

⠀

[tex]{\longrightarrow \qquad \frak{\pmb{ x =58.4^{ \circ}}}}[/tex]

⠀

Therefore,

⠀

Hence,

Answer:

The measurement of each angle is 58.4° and 31.6°

Step-by-step explanation:

Given :-

To Find :-

Solution:-

let one angle be x and other be x - 26.8°

we know that, Sum of complementary angle is 90°

X + X - 26.8° = 90°

2x = 90° + 26.8°

x = 58.4

So , one angle is 58.4° and other one is 58.4 - 26.8 which is 31.6

Answer:

random sampling

Step-by-step explanation:

There are no rules or criteria that are set to choose which Starbucks are chosen to be surveyed.