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3 years ago

7

Louis is buying groceries and stops at the deli counter to purchase sliced Swiss cheese. The deli uses a scale like the one show

n to calculate the weight and price of deli purchases.

1 answer:

Crank3 years ago

8 0

What is the question? And there is no image of the scale.

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Using the area formula i need help

stiks02 [169]

You just do 17.6 x17.6

7 0

3 years ago

NEED HELP ASAP!!!!! lots of points

Setler [38]

Answer:

c

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

All the edges of a regular square pyramid have length 8. find the Volume of the pyramid, Lateral area of the pyramid and the Tot

nikitadnepr [17]

Answer:

1.120.68 cubic units

2.128 square units

3.192 square units

Step-by-step explanation:

First find the height of the pyramid.

Apply Pythagorean relationship where the base is a square, find the hypotenuse

a²+b²=c²---------apply this on the square base to find the length of the diagonal then divide by 2 to get the length from one square base to the center of the pyramid. With this length and the slant height, you can find the height of the pyramid.

8²+8²=c²

64+64=c²

128=c²

√128=c

11.31=c

c/2= 5.7

Finding height of the pyramid

8²-5.7²=h²

64-32=h²

32=h²

√32=h

5.7=h

Finding volume of the pyramid

v=a²*h/3 where a is the length of the edges=8 and h is the height of the pyramid= 5.7

v=8²* 5.7/3

v=64*1.889 =120.68 cubic units

2.

Lateral area of the pyramid is calculated by finding the product of the slant height of the pyramid and half the perimeter of the base.

L.S.A=1/2p*l where p is perimeter of the base and l is the slant height

slant height =8

Perimeter of the base= 8*4 =32

Half the perimeter of the base= 32/2=16

Lateral area= 16*8=128 square units

3. The total surface area of the pyramid is given by;

T.S.A=1/2p*l +B where B is area of the base

Area of the base=8*8=64

Lateral area= 128

T.S.A= 128+64 =192 square units

8 0

3 years ago

Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.)

Murljashka [212]

Answer:

Equation of circle is: $\mathbf{(x+1)^2+(y-5)^2=28.94}$

Step-by-step explanation:

We need to find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.)

Endpoints of a diameter A(−6, 3) and B(4, 7)

The general equation of circle is: $(x-h)^2+(y-k)^2=r^2$

Where r is radius and (h,k) is centre of circle.

Finding centre of circle

The midpoint of diameter is centre of circle.

So, finding midpoint of A(−6, 3) and B(4, 7)

The formula used is: $Midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )$

We have x_1=-6, y_1=3, x_2=4, y_2=7

$Midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )\\Midpoint=(\frac{-6+4}{2} ,\frac{3+7}{2} )\\Midpoint=(\frac{-2}{2} ,\frac{10}{2} )\\Midpoint=(-1 ,5)$

So, we get Midpoint (x,y)=(-1,5)

Finding radius of circle

Radius of circle can be found by first finding diameter using distance formula and then divide it by 2.

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\Distance=\sqrt{(4-(-6))^2+(7-3)^2} \\Distance=\sqrt{(4+6)^2+(7-3)^2} \\Distance=\sqrt{(10)^2+(4)^2} \\Distance=\sqrt{100+16}\\Distance=\sqrt{116}\\Distance = 10.77$

So, Diameter = 10.77

Radius = Diameter/2 = 5.38

Equation of circle

Equation of circle having centre(-1,5) and radius r = 5.38 is:

$(x-h)^2+(y-k)^2=r^2\\(x-(-1))^2+(y-5)^2=(5.38)^2\\(x+1)^2+(y-5)^2=28.94$

So, Equation of circle is: $\mathbf{(x+1)^2+(y-5)^2=28.94}$

4 0

3 years ago

How to do this? I need help

vekshin1

$x^{2} -2x-8\ \textless \ 0 \\ 
(x-4)(x+2) \ \textless \ 0 \\ 
x = 4, x =-2 \\ 
x\ \textless \ -4 \\
x \ \textless \ 2$

6 0

3 years ago