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Answer:

A

Step-by-step explanation:

Edge 2021

The point justifies the shaded area is (1, 1).

Thus, the standard equation of an ellipse is x²/ a² + y²/ b² = 1.

This equation defines an ellipse centered at the origin. If a > b , the ellipse is stretched further in the horizontal direction, and if b > a , the ellipse is stretched further in the vertical direction.

Given:

x²/ 16 + y²/ 4 ≤ 1

As, the given equation is in the form of an ellipse is x²/ a² + y²/ b² = 1.

Now, when we plot the Equation in the graph we get the elliptical shape.

From the given point the point which lies inside the graph is (1, 1).

Learn more about Equation of Ellipse here:

https://brainly.com/question/28028155

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Answer:

x = 10

Step-by-step explanation:

2x = 20°

x = 20/2

x =10

Answer:ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

Step-by-step explanation:

Step-by-step explanation:

Let V be the volume of the cone.

The student says that, the volume of a cone with a 4-inch diameter is two times the volume of a cone with the same height and a 2-inch radius.

If diameter is 4 inch, radius = 2 inch

Volume of the cone,

[tex]V=\dfrac{\pi }{3}\times 2^2\times h\\\\V=\dfrac{4\pi h}{3}[/tex] .......(1)

If radius, r = 2 inch

New volume,

[tex]V=\dfrac{\pi }{3}\times 2^2\times h\\\\V=\dfrac{4\pi h}{3}[/tex] ....(2)

We can see that the volume in both case is same. Hence, the student is correct.

Answer: [tex]40h[/tex]

Step-by-step explanation:

Given

Speed of car is [tex]40\ mph[/tex]

We know, distance is given by

[tex]\text{Distance=}\text{speed}\times \text{time}[/tex]

Let h represents the number of hours

So, the distance traveled with speed [tex]40\ mph[/tex] in 'h' hours

[tex]\Rightarrow d=40\times h\\\Rightarrow d=40h[/tex]

So, the expression is given by [tex]40h[/tex]

Answer:

[tex]\frac{3}{5} X\frac{5}{3}[/tex] is greater than [tex]\frac{3}{5}[/tex]

Answer:

Step-by-step explanation:

The given triangle is a right angled triangle.

So, the angles in the triangle are :

Solving according to angle sum property,

Sum of all angles in a triangle is 180°

[tex]\longrightarrow[/tex] 90° + (4x + 10)° + (2x + 26)° = 180°

[tex]\longrightarrow[/tex] 126° + 6x = 180°

[tex]\longrightarrow[/tex] 6x = 180° - 126°

[tex]\longrightarrow[/tex] 6x = 54°

[tex]\longrightarrow[/tex] x = 9

Angles =

[tex]\longrightarrow[/tex] 4(9) + 10

[tex]\longrightarrow[/tex] 46°

[tex]\longrightarrow[/tex] 2(9) + 26

[tex]\longrightarrow[/tex] 44°

The angles are 46°, 90° and 44°.

Answer:[tex]31.17\ in[/tex]

Step-by-step explanation:

Given

Edge length of cube is [tex]a=18\ in.[/tex]

From the figure, distance between the opposite corner of the tank is

[tex]\Rightarrow (xy)^2+(xz)^2=(yz)^2\\\Rightarrow a^2+(a\sqrt{2})^2=(yz)^2\\\Rightarrow (yz)^2=3a^2\\\Rightarrow (yz)^2=3\times (18)^2\\\Rightarrow yz=18\sqrt{3}\\\Rightarrow yz=31.17\ in.[/tex]

Therefore, the length of the opposite corners is [tex]31.17\ in[/tex]

Answer:

Median is 6

hope it helps u!!! have a great day ahead..

Answer:

6

Step-by-step explanation:

because a median means. the number located at the centre of of the Patten

Answer:

What is the value of x, if the area of ΔABC is 12√3 square cm ...

Step-by-step explanation:

maybe this link  helps you

Answer:

Step-by-step explanation:

Numbers 1 and 4 are perimeter questions so all you do is add up all the sides and the label is cm. For #2, this is an area problem and the area for a rectangle is length times width, so multiply the 2 together and the label is inches squared. For #3, the volume formula for a cube is side*side*side and the label for this is feet cubed. For #5, the area for a triangle is .5 times the base times the height, and the label is mm-squared. That should help you get all the answers on your wn. Very, very simple.

Answer:

B ) P 215 V 235

Peter 35×5=175+40=215

Veronica 35×5=175+60=235

Answer:

<E

Step-by-step explanation:

Answer:

∠E is the answer I believe

If i'm wrong correct me!!

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Answer:

c = sqrt(106)

Step-by-step explanation:

Since this is aright triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

5^2 + 9^2 = c^2

25 +81 = c^2

106 = c^2

Taking the square root of each side

sqrt(106) = sqrt(c^2)

c = sqrt(106)

Answer:

The solution is given below.

Step-by-step explanation:

Given that

a) 7.9 ÷ 1000

b ) 26.3 ÷ 1000

c) 38.53 ÷ 1000

We need to find out their answers

So,

for a)

= 7.9 ÷ 1000

= 0.0079

b)

= 26.3 ÷ 1000

= 0.0263

c)

= 38.53 ÷ 1000

= 0.03853

Basically we divided the number and it comes in decimal form

Answer:

you would be..80

Step-by-step explanation:

All you have to do is an addition equation

60 + 20 = 80

Answer:

15 x 20 x 4 = 1,200

6 x 4 = 24, 24 divided by 2 ( x 1/2 ) = 12

12(area of 1 triangle) x 12(width) = 144

Formula area of a triangle:

B(base) x H(height) x 1/2(basically just dividing by 2)

Formula volume of a rectangular prism:

L x W x H

Answer:

1) 1200

2) 144

Step-by-step explanation:

1:

Volume Of A Cube: L * W * H

Substitute: 25 * 20 * 4

2:

Volume Of A Triangular Prisism: 0.5 * B * A * H

Substitute: 0.5(6 * 4) * 12

Answer:

4/18

Step-by-step explanation:

Answer:

8400 cents

Step-by-step explanation:

SI=P×T×R

100

300×4×7

100

=$84

=8400 cents

Answer:

$396.94

Step-by-step explanation:

formula:

[tex]PV*e^{rt}\\300*e^{.07*4}=396.938943701[/tex]

which rounds to 396.94

Answer:

The circumference of a circle

Step-by-step explanation:

Hope this helped you out :)

Answer:

2π r is how you find the circumference of a circle so the answer is the second option .

Answer:

Yes, it is better.

Step-by-step explanation:

3 oz. = $0.75

multiply each by 4

12 oz. = $3

Answer:

NO

Step-by-step explanation:

(4) 3oz bags are 12 ounces

0.75 * 4 = $3.00

So the 12 oz bag is not a good buy.

Volume of Cube = a³

side a = 5 Cm

Volume = 5³ = 125 Cm³

Answer:

125m³

Step-by-step explanation:

GIVEN :-

TO FIND :-

GENERAL FORMULAE TO BE USED IN THIS QUESTION :-

Volume of a cube = a³ (where a = length of each side of a cube)

SOLUTION :-

Volume of the cube = 5³ = 125 m³

Answer:

your new grade is 88%

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Answer:

268.32yd^3

Step-by-step explanation:

Answer:

268.32yd^3

Step-by-step explanation:

Answer:

a-d=90

e= 34

f= 56

g= 56

h= 34

i= 34

j= 56

k= 56