Determine the simple interest earned p=$2000 r=4.6% T=4 years

Step-by-step explanation:

Surface area of cone = πr ( l + r)

= 22/7 × 4 (5+4

= 88/7 × 9

= 792/7

= 113.14 cm²

Answer:

D.  113.13 cm^2.

Step-by-step explanation:

I am assumming you want the surface area of this cone.

This = area of base + area of the curved side

= π r^2 + π r L

=  4^2 π + 4*5 π

= 113.13 cm^2.

Answer:

The number would be 90

Step-by-step explanation:

140 + 10 - 90 = 60

90 - 30 = 60

60 = 60

Answer: 90

Step-by-step explanation:

Let's use x as a placeholder to the number we are trying to find

[tex]140+10-x=x-30[/tex]

Now we need to isolate x

Step 1) Simplify both sides

[tex]140+10-x=x-30\\150-x=x-30[/tex]

Step 2) Add 30 to both sides

[tex]150-x+30=x-30+30\\180-x=x[/tex]

Step 3) Add x to both sides

[tex]180-x+x=x+x\\180=2x[/tex]

Step 4) Divide both sides by 2

[tex]\frac{180}{2}=\frac{2x}{2} \\90=x[/tex]

Step 5) Sub our value into the original equation and solve

[tex]140+10-x=x-30\\140+10-90=90-30\\150-90=60\\60=60[/tex]

Answer:

2

Step-by-step explanation:

The graient is 2 as gradient = diffrence of y/diffrence in x

x,y

take two points 1,0 and 2,2 and put them into the equation

2-0/2-1 = 2

Answer:

slope = 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (6, 10) ← 2 points on the line

m = [tex]\frac{10-0}{6-1}[/tex] = [tex]\frac{10}{5}[/tex] = 2

When the sectors of the circle are rearranged, they are close to forming a trapezoid with a length of 2*pi*r units and a width of r units.

The area of the rearranged figure is equal to that of the circle. So, the area of the circular base 2*pi*r square units.

A trapezoid is a two-dimensional geometric shape that has four sides with only two being parallel.

Learn more about Trapezoid at:

https://brainly.com/question/1410008

Answer:

When the sectors of the circle are rearranged, they are close to forming a trapezoid with a length of 2*pi*r units and a width of r units.

What is the area of the rearranged figure?

The area of the rearranged figure is equal to that of the circle. So, the area of the circular base 2*pi*r square units.

Step-by-step explanation:

I got it right on Edmentum

Answer:

D

Step-by-step explanation:

as shown, the angles are equal. You can assume that x also follows that rule.

Answer:

Caden is 11 and Christina is 24.

Step-by-step explanation: IF we know the sum of their ages is 35, then we can do the math. 35 - 11 = 24

So this means we know two ages 11 and 24.

The only thing left to do is to figure out who's age is who's. We know that Christina is older so she has to be 24 year old and Caden would be younger.

I hope this helps!

Answer:

4a²-9

Step-by-step explanation:

(2a+3)(2a-3) = (2a)²-3² {Difference of two squares}

= 4a²-9

Answer:

(1,0)

PLEASE mark me brainliest!!

Answer:

1, 0

Step-by-step explanation:

Answer:

< 2.

Step-by-step explanation:

< 2 is vertical to < 5.

In the UK we say they are opposite angles, which, to me, makes more sense.

Answer:

I am not sure but it may be 48 cm².

Answer:

x = 7

Step-by-step explanation:

Just write what you see in terms of a formula.

2x - 9 = 5

Solve for x

add both sides by 9

2x = 5 + 9

2x = 14

divide both sides by 2

x = 14/2

x = 7

Answer:

x = 7

Step-by-step explanation:

9 subtracted from 2x gives the result 5. Find the value of x.

Translate:

2x - 9 = 5

Simplify:

2x - 9 = 5 <== add 9 to both sides

    + 9  + 9

2x = 14 <== divide both sides by 2 to isolate the variable

/2    /2

x = 7

Hope this helps!

Answer:

B. 2.50 + 85 ≤ 125

Step-by-step explanation:

The total cost of this puurchase must be less than or equal to 125 that is why we use "≤" in this situation, this means that the total of the equation must be equal or equal to 125 exactly

Step-by-step explanation:

height (h) = 8cm

radius (r) = 5cm

volume of cylinder (v) = [tex]\pi[/tex]r^2h

                                     = 22/7 * (5)^2 * 8

                                     = 628.571cm^3

Answer:

y = 0 , y = - [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

- 32y² - 24y = 0 ← factor out - 8y from each term

- 8y(4y + 3) = 0 equate each factor to zero and solve for y

- 8y = 0 ⇒ y = 0

4y + 3 = 0 ⇒ 4y = - 3 ⇒ y = - [tex]\frac{3}{4}[/tex]

Answer:

look up surface area calculator

Step-by-step explanation:

The surface area of the triangular prism is 161 square feet. Then the correct option is A.

Let h be the height and b be the base of the triangle. Let L₁, L₂, and L₃ be the length and W be the width of the rectangle. Then the surface area of the triangular prism will be given as,

Surface area = 2 Area of triangle + 3 Area of rectangle

Surface area = (h x b) + (L₁ + L₂ + L₃) x W

The surface area is calculated as,

SA = (5 x 5) + (5 + 5 + 7) x 8

SA = 25 + 17 x 8

SA = 25 + 136

SA = 161 square feet

Thus, the correct option is A which is top left.

More about the surface area of a triangular prism link is given below.

https://brainly.com/question/16765719

#SPJ2

Answer:

The diameter would be 29.98 kilometers.

Step-by-step explanation:

We know that our circumference is pi * diameter, so we just have to divide 94.2 by pi to solve.

Answer:

30 km

Step-by-step explanation:

We can use the below formula to find the diameter of a circle.

C = π × d

Here,

C ⇒ circumference ⇒ 94.2 km

d ⇒ diameter

To find the diameter make d as the subject in the above formula.

d = C / π

d = 94.2 / 3.14

d = 30 km

Answer:

Area- 150 Perimeter- 60

Hope This Helps! :) Please Give Brainliest if this helped you!

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Volume of cone :

[tex]\qquad \sf  \dashrightarrow \: \frac{1}{3} \pi{r}^{2} h[/tex]

Now, let's plug in the values as per the diagram ~

[tex]\qquad \sf  \dashrightarrow \: \frac{1}{3} \times 3.14 \times {(18)}^{2} \times 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: \frac{1}{3} \times 31.4 \times 324[/tex]

[tex]\qquad \sf  \dashrightarrow \: 31.4 \times108[/tex]

[tex]\qquad \sf  \dashrightarrow \:3391.2 \: \: ft {}^{3} [/tex]

Answer:

3 7/12

Step-by-step explanation:

First find the common denominator.

8,16,24

3,6,9,12,15,18,24

Once you find the common denominator. You have to fix the numerator.

7 2/8 would become 7 6/24

Whole numbers stay the same.

8 x 3 = 24

2 x 3 = 6

Now we repeat it on the other mixed number.

3 2/3 would become 3 16/24

Again whole numbers stay the same.

3 x 8 = 24

2 x 8 = 16

Once you convert the fractions to having the same denominator you subtract like normal.

7 6/24 - 3 16/24 = 3 14/24

3 14/24 can be simplified to 3 7/12

Answer:

[tex]\boxed{3 \dfrac{7}{12}}[/tex]

Step-by-step explanation:

The first step in simplifying the expression is to convert both the fractions into improper fractions [a/b (a > b)].

⇒ [tex]7\dfrac{2}{8} - 3\dfrac{2}{3}[/tex]

⇒ [tex]\dfrac{7 \times 8 + 2}{8} - \dfrac{3 \times 3 + 2}{3}[/tex]

⇒ [tex]\dfrac{56 + 2}{8} - \dfrac{9 + 2}{3}[/tex]

⇒ [tex]\dfrac{58}{8} - \dfrac{11}{3}[/tex]

The next step in simplifying the expression is to make the denominators of both fractions equivalent.

⇒ [tex]\dfrac{58}{8} - \dfrac{11}{3}[/tex]

⇒ [tex]\dfrac{58 \times 3}{8 \times 3} - \dfrac{11 \times 8}{3 \times 8}[/tex]

⇒ [tex]\dfrac{174}{24} - \dfrac{88}{24}[/tex]

The third step in simplifying the expression is to subtract the fractions.

⇒ [tex]\dfrac{174}{24} - \dfrac{88}{24}[/tex]

⇒ [tex]\dfrac{86}{24}[/tex]

The fourth step in simplifying the expression is to simplify the difference of the two fractions.

⇒ [tex]\dfrac{86}{24}[/tex]

⇒ [tex]\dfrac{86 \div 2}{24 \div 2}[/tex]

⇒ [tex]{\dfrac{43}{12}}[/tex]

The fifth step in simplifying the expression is to convert the improper fraction into mixed fraction.

⇒ [tex]{\dfrac{43}{12}}[/tex]

⇒ [tex]{\dfrac{36}{12}} + \dfrac{7}{12}[/tex]

⇒ [tex]3 + \dfrac{7}{12}[/tex]

⇒ [tex]\boxed{3 \dfrac{7}{12}}[/tex]

Answer:

i guess 36 ft in cubic feet

Step-by-step explanation:

= 8 x 9/2

= 4 x 9

= 36

Answer:

9:20 AM

Step-by-step explanation:

they spend 4 hours in total doing activities

We get this value by adding up all the time spent

1:30pm - 4 hours =

9:20 AM

Answer:

Class width = 5

Mean = 20.375

Step-by-step explanation:

To find the class widths, find the difference between the upper and lower boundaries.

As there are gaps between the classes, the lower boundaries will be 0.5 less and the upper boundaries will be 0.5 more.

Class width = 10.5 - 5.5 = 5

To find the mean:

The easiest way to do this is to create a table (see attached).

[tex]\textsf{mean}=\dfrac{\sum fx}{\sum f}=\dfrac{815}{40}=20.375[/tex]

Answer: 36

Step-by-step explanation:

Answer:

The numbers are

5

and

8

Step-by-step explanation:

We know:

m

−

n

=

3

And we know:

m

+

n

=

13

Next, solve the first equation for

m

:

m

−

n

+

n

=

3

+

n

m

−

0

=

3

+

n

m

=

3

+

n

Then, substitute

3

+

n

for

m

in the second equation and solve for

n

:

m

+

n

=

13

becomes:

(

3

+

n

)

+

n

=

13

3

+

2

n

=

13

−

3

+

3

+

2

n

=

−

3

+

13

0

+

2

n

=

10

2

n

=

10

2

n

2

=

10

2

2

n

2

=

5

n

=

5

Now, substitute

5

for

n

in the solution to the first equation and calculate

m

:

m

=

3

+

n

becomes:

m

=

3

+

5

m

=

8

The solution is:

n

=

5

and

m

=

8

[tex]\text{Let the two numbers be x and y}\\\\x+y=3~~~.....(i)\\\\x-y=13~~~.....(ii)\\\\\text{(i)+(ii):}\\\\x+y+x-y = 3+13\\\\\implies 2x = 16 \\\\\implies x = \dfrac{16}2 = 8\\\\\text{(ii)-(i):}\\\\x-y-x-y=13-3\\\\\implies -2y=10\\\\\implies y= -5\\\\\text{Hence the numbers are }~8~\text{and}~ -5[/tex]

Answer:

67 because it is closer to 67 than other options

Answer:

67 B

Step-by-step explanation:

Answer:

Quadrant IV

Step-by-step explanation:

You can easily find in which quadrant a point lies using this key :

We have the coordinate (4, -5)

Answer:

Quadrant IV

Step-by-step explanation:

The Cartesian plane is divided into 4 quadrants.

Quadrant I is the top right quadrant, where x and y are positive.

We then move in a counterclockwise direction for quadrants II, III and IV.

Therefore:

As point (4, -5) has a positive x-value and a negative y-value, it will lie in Quadrant IV