Round to nearest hundreth

Answer:

The area of this sector is 224*pi cm² or approximately 703.72 cm²

Step-by-step explanation:

In order to calculate the area of a sector for which we have an angle in radians, we need to apply a rule of three in such a way that pi*r² is related to 2*pi radians in the same proportion as the given angle is related to the area of the sector we want to find. This is shown below:

2*pi rad -> pi*r² unit²

angle rad -> sector area unit²

2*pi / angle = pi*r² / (sector area)

2*pi*(sector area) = pi*r²*angle

sector area = [pi*r²*angle]/2*pi

sector area = r²*angle/2 unit²

Applying the data from the problem, we have:

sector area = [(16)²*(7*pi/4)]/2 = [256*(7*pi/4)]/2 = 64*7*pi/2 = 32*7*pi = 224*pi

sector area = 224*pi cm²

sector area = 703.72 cm²

Answer:

A)25

B) 14

Step-by-step explanation:

A) a/5 + 3 = 8

    a/5 = 8 - 3

    a = 5 x 5

    a = 25

B)  3b/7 -1 =5

     3b/7 = 5+1

     3b = 6 x 7

      b = 42/3

      b = 14

Answer:

see below

Step-by-step explanation:

P( yellow) = number of yellow sections / total sections

                 = 4/20

                   1/5

                  20%

Answer:

a.

4 out of 20

1/5

or 20%

b.  The probability may not be as much as the other colors on the wheel depending on how many colors and how many sections of each. You have a 20% chance out of all colors to get the color yellow.

Answer:

6x-y=2 is the equation

Step-by-step explanation:

The formula is y= mx+c where m= slope and c = y-intercept

so replacing their values,

y = 6x -2

y+2= 6x

6x-y = 2 is the required equation.

Answer:

y=6x-2

Step-by-step explanation:

Answer: to write an equation it has to be y=mx+b

The slope is 6, so you substitute the 6 in for the m. M is always the slope.

You also keep the x there.

The y intercept, also know as b, is -2 so you substitute that in for b.

Then you get the equation on the line.

y=6x-2!

Hope this helps. :)

Answer:

1000-273=M

Step-by-step explanation:

Jarry has 273 and needs 1000 so take the number he needs by the marbles he has to find the marbles he needs to fill the jar. Hope this helped

The required equation that models the number of marbles still needed to fill the jar is M = 1000 - 273.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

here,

Jarry has a jar with 273 marbles in it. The jar can hold 1,000 marbles in all.

Let the number of marbles that are still to be filled by M
And the equation is given as,
M = 1000 - 273

Thus, the required equation that models the number of marbles still needed to fill the jar is M = 1000 - 273.

Learn more about models here:

brainly.com/question/22591166

#SPJ5

Answer:

The answer is 9/4

Step-by-step explanation:

Answer:B

Step-by-step explanation:

$2000×1.05^7=$2814.20

Answer:

B

Step-by-step explanation:

P = $ 2000

r =5% = 0.05

t = 7 years

[tex]Amount=P*(1+\frac{r}{100}})^{t}\\\\=2000*(1+0.05)^{7}\\\\=2000*(1.05)^{7}\\\\=2000*1.4071\\\\[/tex]

= $ 2814.20

Answer: 502.4 cubed

Step-by-step explanation:

3.14x10x(4 squared)=160x3.14

502.4 (cubed)

Answer:

Volume of the prism = 1950unit³ (C)

Step-by-step explanation:

The question is incomplete without the diagram of the oblique prism and its dimension.

Find attached the diagram used in solving the question.

The prism has a rectangular base:

width= 10 units

length = 13 units

The distance between the top and the bottom base = 17 units.

Volume of prism = Area of base × height

Area of base = area of rectangle = Length ×width

= 13× 10

Area of base = 130unit²

To get the height, we would apply Pythagoras theorem

Hypotenuse² = opposite² + adjacent ²

17² = h² + 8²

289 = h² + 64

h² = 289-64 = 225

h = √225

h = 15unit

Volume of the prism = 130 × 15

Volume of the prism = 1950unit³ = 1950 cubic units

Answer:

The answer is C which is 1950 on EDGE

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The formula for the surface area of a square pyramid is [tex]a^2+2a\sqrt{\dfrac{a^2}{4}+h^2}[/tex], where a is the length of one of the base side lengths and h is the height. Plugging in the given values into this equation, you get:

[tex]75^2+2(75)\sqrt{\dfrac{75^2}{4}+90^2}=[/tex]

[tex]5625+150\cdot \sqrt{9506.25}=[/tex]

[tex]5625+14625=[/tex]

[tex]20,250[/tex]  square yards, or answer choice D.

Hope this helps!

I’m not sure what that meant.

Answer:

cool

Step-by-step explanation:

Answer:15

Step-by-step explanation:

Because you do the distance equation

Answer:

24cm

Step-by-step explanation:

Volume: LxWxH

2cm+ 4cm= 6cm (which is the height)

L= 2

W=2

H=6

2x2x6

24cm

Answer:

The equation represents exponential growth

Step-by-step explanation:

Since the equation is a positive exponential equation

Answer:

(2,-3)

Step-by-step explanation:

have to multiply (-3) to the second equation to get -3x + 15y = 51 then you add  both equations .the 3 is remove (postive and negative cancels out )

2y+15y= 17y

0-51+-51

divide both sides by 17 y

-51/17= -3

then you plug -3 into the first equation  and get

x= 2

y=-3

Answer:

x=2 y=- 3

Step-by-step explanation:

Answer:

Area: T = 0.649

Step-by-step explanation:

Sides: a = 3.5   b = 1.333   c = 2.25

Answer:

-21/3+5=-7+5=-2

Step-by-step explanation:

Answer:

2.6 im pretty sure lol

Step-by-step explanation:

Answer:

43.98

Step-by-step explanation:

Answer:

-The volume of a sphere:

[tex]V \approx 5575.279[/tex] [tex]in ^3[/tex]

     or

[tex]V \approx 5575.28[/tex] [tex]in^3[/tex] (Rounded to the nearest hundredth if needed)

Step-by-step explanation:

-Use the formula for the volume of a sphere and use the radius [tex]11[/tex] [tex]in[/tex] for that formula:

[tex]V = \frac{4}{3} \pi r^3[/tex]

[tex]V = \frac{4}{3} \pi 11^3[/tex]

-Then, you solve the formula:

[tex]V = \frac{4}{3} \pi 11^3[/tex]

[tex]V = \frac{4}{3} \times \pi \times 11^3[/tex]

[tex]V = \frac{4}{3} \times \pi \times 1331[/tex]

[tex]V = \frac{4}{3} \pi \times 1331[/tex]

[tex]V = \frac{5324}{3} \pi \approx 5575.279[/tex]

-Round up to the nearest hundredth (if needed):

[tex]V \approx 5575.28[/tex]

Complete question

The diagram show a block of modelling clay 12cm 6cm and 2cm.

The density of the modelling clay is 1.25g/cm3. What is the mass of the block of clay?

Answer:

The mass of the block is 180g

Step-by-step explanation:

Given

Density = 1.25 g/cm³

Required

Mass of the block

Eben though the diagram of the block is missing, the question can still be solved.

First, the volume needs to be calculated.

Volume = lengy * breadth * height

Volume = 12 *,6 * 2

Volume = 144cm³

Now we have Volume and density.

The relationship between these two is as follows;

Density = mass/volume

Substitute for density and volume.

1.25 = mass/144

Multiply 144 to both sides

144 * 1.25 = mass/144 * 144

180 = Mass

Mass = 180

Hence, the mass of the block is 180g

Answer:

Unit rate = 2 mph

Step-by-step explanation:

Distance travelled = 1½ miles = [tex] \frac{3}{2} [/tex] miles

Time taken = ¾ hours

[tex]Unit \: rate = \frac{distance \: travelled}{time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \frac{3}{2} }{ \frac{3}{4} }\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{3}{2} \times \frac{4}{3} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \: mph (miles \: per \: hour)[/tex]

Answer:

4.5

Step-by-step explanation:

162/360=0.45

0.45*10=4.5

Answer:

4.5units

Step-by-step explanation:

arc length's formula:2πr(∆/360)

remember, 2πr: circumference of a circle:

10units according to diagram.

∆=162°

using formula, 10(162°/360)

10*162/360 : 162/36

:4.5 units.

Answer: 0.03

Step-by-step explanation:

3% in decimal form is 0.03

Answer:

The decimal form, which would be 0.03

People would say the decimal will be 0.3, but that is 30%, so the decimal would be 0.03.

Answer:

The z-score is -2

Step-by-step explanation:

Here, we are asked to calculate the z-score of the height.

Mathematically, we can calculate z-score by using the formula below;

z-score = (x-mean)/SD

According to this question, mean = 44cm and SD = 3cm with x here = 38cm

Plugging these values into the z-score equation, we have

z-score = (38-44)/3 = -6/3 = -2

Answer: [tex]\sqrt{2}[/tex]

Step-by-step explanation:

In a 45 45 90 triangle the two sides are 1 wile the hypothenuse is [tex]\sqrt{2}[/tex]

Answer:

where is the picture so i can help you

Answer:

Your other answers all look good - I think the word in the blank is producer, which means an organism that makes its own food. Green plants do so through photosynthesis.

Answer:

producer

Step-by-step explanation:

Because it makes sense