-6x + 8y = -6 - 6x +y = 36

Two diameters of circle P are AB and CD. Find the measure of arc ACD and arc AC when arc AD has a measure of 20 degrees

steposvetlana [31]

Answer:

Hence measure of arc ACD and arc AC are 340 degrees and 160 degrees respectively.

Step-by-step explanation:

Given:

A Circle with p as center and AB and CD as 2 diameters for a circle.

To Find:

Measure of ACD, and arc AC when arc AD is 20 degrees.

Solution:

As we know that , Diameter is biggest chord which passes through center of circle,

Hence it divides the circle into two equal parts and making center as midpoint of it .

(Refer the attachment)

angle APD=20 degree or arc AD=20 degree.

So AB as diameter ,so arc DB=160 degree or BPD=160 degree as A-B-P are

and angle APD and BPC are vertical opposite angles so they are congruent BPC=20 degree

Now,

points A,C,B,D,A makes circle which measures 360 degrees.

to find ACD

measure of ACD=360-(meaure of arc AD or angle APD)

=360-20

=340 degree.

Now arc AC,

as AB is diameter with p as midpoint ,A-P-B

arc APB=180 and arc BC=20 or angle BPC=20 degrees.

For measure of arc AC= measure of arc APB- arc BC

arc AC=180-20 degrees.

arc AC=160 degrees.

5 0

4 years ago

For her presentation on the Wonders of the World, Mary baked a square pyramid-shaped cake as pictured below. The slant height of

mihalych1998 [28]

Answer:

$V=196in^3$

Step-by-step explanation:

The volume of a pyramid is:

$V=\frac{A_{b}h}{3}$

where $A_{b}$ is the area of the base and $h$ is the height (the perpendicular measurement between base and highest point, not the slant height)

Since the base is a square, the area is given by:

$A_{b}=l^2$

where $l$ is the length of the side: $l=8in$ , thus:

$A_{b}=(8in)^2\\A_{b}=64in^2$

Now we need to find the height, for this we use the right triangle that forms with half of a square side (8in/2 = 4in), the slant height (10in), and the height.

In this right triangle, the slant height is the hypotenuse, the leg 1 is the unknown height, and leg 2 is half of the square side.

Using pythagoras:

$hypotenuse^2=leg1^2+leg2^2$

substituting our values, and indicating that leg 1 is height h:

$(10in)^2=h^2+(4in)^2$

$100in^2=h^2+16in^2$

and solving for the height:

$h^2=100in^2-16in^2\\h^2=84in^2\\h=\sqrt{84in^2}\\ h=9.165in$

and finally we calculate the volume using this height and the area of the base:

$V=\frac{A_{b}h}{3}$

$V=\frac{(64in^2)(9.165in)}{3} \\V=195.5in^3$

rounding to the nearest cubic inch: $V=196in^3$

4 0

4 years ago

Columbia,South Carolina, is located at 34degrees north latitude. Use the equation to estimate the average annual snowfall for Co

lana66690 [7]

Answer:

Step-by-step explanation: I cannot provide an answer due to insufficient evidence.

7 0

3 years ago

Help me please please

Mariana [72]

Answer:

scale factor P to Q: 4/5 scale factor Q to P: 5/4

Step-by-step explanation:

Divide original length over new length and you'll get the scale factor.

5 0

3 years ago

What are three powers that have values greater than 500 and less than 550

igomit [66]

Solution:

The three powers whose value is greater than 500 and less than 550 can be find by following procedure.

We will solve this problem by Hit and trial method by finding the squares, cubes, fourth power, Fifth Power,...etc. of different natural numbers.

23²= 529

8³ = 8 × 8 × 8 =512

$2^8=512$

The three powers are →→→Eighth power of 2, Square of 23, and Cube of 8.

8 0

4 years ago

Read 2 more answers