A rectangle measures 2 1/2 inches by 1 5/16 inches. What is its area? as a mixed number

Answer:

V - 1099.55742876

SA - 769.690200129

Step-by-step explanation:

The volume of a cone is denoted by the formula:

V = 1/3 * h * pi * r^2

We can substitute in the values we are given:

V = 1/3 * 10.5 * pi * 10^2

V = 3.5 * 100 * pi

V = 350pi

This is about: 1099.55742876

The formula for the surface area of a cone is:

SA = pi * r^2 + pi * r * s

We can substitute what we have:

SA = pi * 10^2 + pi * 10 * 14.5

SA = 100 pi + 145 pi

SA = 245 pi

This is about: 769.690200129

Answer:

3.025 = 3.03

Step-by-step explanation:

A = (3.14)(r)(r)

28.74/3.14 = 9.152866

3.025 = r

Answer: x=-1/2

Step-by-step explanation: Use the quadratic formula to get -4+the square root of zero divided by 2 times 4. Simplify to get -1/2 (hope this helps)

Answer:

Disagree

Step-by-step explanation:

An octagon has eight sides while the shape on the right has nine sides.

Answer:

No

Step-by-step explanation:

The shape shown in the picture has 9 sides(you can count) and therefore is not an octagon because octagons only have 8 sides.

Step-by-step explanation:

Answer:

4.25

Step-by-step explanation:

Since this is a parallelogram, the parallel sides have the same value.

And since the perimeter of a parallelogram is all of the sides combined, this means

WR + RJ + JS + WS, or

5x + 5x + 3x + 2 + 3x +2 = 16x + 4

The perimeter is 16, so

16x + 4 = 16

16x = 12

x = 0.75

Substitute into 3x + 2, or WS.

2.25 + 2 = WS

WS = 4.25

Step-by-step explanation:

perimeter of parallelogram =16

so value of WS=3x+2

hope it helps

Answer:

x = 34

Step-by-step explanation:

Given

x + 38 = 72 ( subtract 38 from both sides )

x = 34

Answer:

X=34

Step-by-step explanation:

Well, what you can do is bring the 38 to the other side and make it negative so you can subtract 38 with the 72. The 72-38 is= 34 and so x= 34

x+38=72

x=72-38

x=34

Hope this helps! ^^

Answer:

f(x+h)=

Step-by-step explanation:

f(x+h)=x+h+x+h

Answer:

sin2αcos2β + cos2αsin2β

Step-by-step explanation:

Given that

sin(A+B) = sinA cos B + cos A sinB

According to the question;

sin(2α+2β) = sin2αcos2β + cos2αsin2β

where A =  2α and B = 2β

Answer:

Correct answer of this question is 123

Answer:

123

Step-by-step explanation:

sounds funny but its true

(2x33)+17+(5x8)

do parenthensies first

2x33=66

5x8=40

40+66=106=17=123

Answer:

A. N(t) = 0.5·sin((π/6)·t) + 1.5

Step-by-step explanation:

The given parameters are;

The model of the periodic function = Sine function

The low of the attendance = 1,000,000

The month of the low in attendance = September

The high in attendance = 2,000,000

The month number = t,

The month of January is represented by, t = 1

N(t) = The attendance in millions of visitors

The generic sine function which is given as y = a·sin(b·x + c) + d, ranges from -1 to 1

Period = 12 = 2·π/b

∴ b = 2·π/12 = π/6

c = 0

a = The amplitude = (The maximum - The minimum)/2 = (2,000,000 - 1,000,000)/2 = 500,000

Therefore, a = 0.5×1,000,000 = 0.5·N(t)

Therefore, given that the minimum, [tex]N(t)_{min}[/tex] = 1, we have;

For sin(b·x + c) = -1, a·sin(b·x + c) = -0.5, for the minimum of 1,000,000 = 1 × 1,000,000, we have;

a·sin(b·x + c) + d = 1

∴ -0.5 + d = 1

d = 1.5

Therefore, we have;

N(t) = 0.5·sin((π/6)·t) + 1.5

Answer:

N(t) = 0.5sin((π/6)t) + 1.5

Step-by-step explanation:

Answer:

emir

Step-by-step explanation:

Answer:

[tex]V=405.04\:\mathrm{cm^3}[/tex]

Step-by-step explanation:

The volume of a cone is given by [tex]V=\frac{1}{3}\cdot r^2\pi\cdot h[/tex] (the area of the base multiplied by the height divided by 3).

In the given cone, we have [tex]r=6.1\:\text{cm}[/tex] and [tex]h=10.4\:\text{cm}[/tex]. Substituting in these values, we get:

[tex]V=\frac{1}{3}\cdot 6.1^2\pi \cdot 10.4,\\V=\boxed{405.04\:\mathrm{cm^3}}[/tex]

Answer:

175 cm

7 years

Step-by-step explanation:

Here is the complete question

When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard.

He measured it once a year and found that it grew by 26 centimeters each year. 4.5 years after he moved into the house, the tree was 292 centimeters tall.

 1. How tall was the tree when Vlad moved into the house?

 2. How many years passed from the time Vlad moved in until the tree was 357 centimeters tall?

The formula for calculating future value:

FV = P + (r x n)

FV = Future height of the tree

P = Present height of the tree

R = growth rate

N = number of years

292 = p + (26 x 4.5)

292 = p + 117

p = 292 - 117

p = 175 cm

b. 357 = 175 + (26 x n)

375 - 175 = 26n

182 = 26n

n = 182 / 26 = 7 years

Answer:

I would’ve worked it out but it’s been years

Step-by-step explanation:

Answer:12

Step-by-step explanation:

m<bcd=90

m<bce+m<dce=m<bcd

4x+10+2x+8=90

   -10       -8   -18

4x+2x=72

6x=72

6x/6=72/6

x=12

Answer:

62 I just took the quiz, and I got 62 correct

Answer:

x = 11.1

Step-by-step explanation:

Cosine theta = adjacent/hypotenuse

cos 42 = x/15

x = 15 cos 42

x = 11.1

Answer:

13years

Step-by-step explanation:

Using the formula for calculating the compound interest expressed as;

A =P(1+r)^n

P = 12000

rate r  = 4% = 0.04

Amount after 4 years A = 20,000

Substitute into the formula and solve for p

20,000 = 12,000(1+0.04)^t

20,000/12000 = (1.04)^t

1.67 = (1.04)^t

Take the ln of both side

ln1.67 = ln(1.04)^t

ln1.67 = t ln 1.04

t = ln1.67/ln1.04

t = 0.5108/0.0392

t = 13.03

hence it will take approximately 13years to reach 20,000

Answer:

7:50

Step-by-step explanation:

cause.....

30/3=10

8:00- 10 min = 7:50

Answer:

20 is not

40 is not

64 is

4 is

49 is

48 is not

Step-by-step explanation:

Answer: b maybe

Step-by-step explanation:

Answer:

D.) x=5, y=2

Step-by-step explanation:

Triangle ABC

Hypotenuse, 2(5) + 3 = 13

Base,4(2)+2= 10

Triangle DEF

Hypotenuse, 3(5) - 2 = 13

Base, 9(2) - 8 = 10

Answer:

[tex]x\approx 24.0,\\y\approx 46.4[/tex]

Step-by-step explanation:

Let the height of the largest triangle marked be [tex]h[/tex]. We can set up the following equation:

[tex]\sin 30^{\circ}=\frac{h}{34},\\h=34 \sin 30^{\circ}=17[/tex] (if you're unfamiliar with trig, this is likely introduced to you as 30-60-90 triangle rules)

This height is also a leg of a 45-45-90 triangle, as marked in the diagram. From the isosceles-base-theorem, the other leg of this triangle must also be equal to [tex]h[/tex]. Therefore, we can use the Pythagorean theorem to solve for [tex]x[/tex]:

[tex]17^2+17^2=x^2\\x^2=\sqrt{17^2\cdot 2},\\x=17\sqrt{2}\approx \boxed{24.0}[/tex] (you can also use trig or 45-45-90 triangle rules which are derived from the Pythagorean theorem)

Segment [tex]y[/tex] consists of two shorter segments, a left segment and a right segment. We've already found that the left segment is equal to 17. To find the right segment we can use trig, the Pythagorean theorem, or 30-60-90 triangle rules (derived from the Pythagorean theorem):

Using Pythagorean Theorem:

[tex]y_{right}=\sqrt{34^2-17^2}\approx \boxed{29.4}[/tex]

Therefore, we have:

[tex]y=17+29.4=\boxed{46.4}[/tex]

Answer:

the water tower casts 60 ft shadow its 120 ft tall

Step-by-step explanation:

Answer:

180 I hope this is the correct answer

Answer:

39.98

Explanation:

39.98015​

0 < 5, so 2nd decimal stays at 8

Answer:39.98

Step-by-step explanation:

Hey! I’m not exactly sure what you’re asking, but if the question is how to write that number in only two decimal places, it would be 39.98. We would round it up or down in the hundredths place because that is the second decimal place. Since the number behind the 8 is 0, we can’t round up or down so we would just leave it how it is and cut off the rest.

Hope this helped! :D

Sorry it I didn’t answer what you were asking! You can comment and I will answer any further questions!

Answer:

[tex]y(x - 1)^{2} [/tex]

Step-by-step explanation:

[tex]x²y-2xy+y[/tex]

[tex]y {x}^{2} −2xy+y[/tex]

[tex]y( {x}^{2} −2x)+y \times 1[/tex]

[tex]y ( {x}^{2} - 2x + 1)[/tex]

[tex]y(x - 1)^{2} [/tex]

Answer:

Step-by-step explanation:

Answer:

100/275=x/37

Step-by-step explanation:

37 heads for 100 guests that means the ratio is 37/100

To calculate how many is needed for 275 guests we should to multiply 275 by 37 and divide it by 100

And the expression for it is 100/275 = x/37

Answer:

20

Step-by-step explanation:

I'm not that sure but I think the answer is Median (A)

Answer: 5000000

Step-by-step explanation:

0.55 x 1

975 = 5000000

Answer:

A basket ball being held

Step-by-step explanation:

Hope this helps you out