Given that the diameter of a circle is 5 mm, find the radius of the circle.

Answer:

A = 9r^2

Step-by-step explanation:

r=√A/3

multiply both sides by 3

3r = √A

Square both sides

3^2 * r^2 = A

9r^2 = A

Answer:

D.

Step-by-step explanation:

(1/6)*60 = 10

(1/6)*450 = 75

Check your work

75/10 = 7.5

450/60 = 7.5

Correct!

Answer:

vvvvvv

Answer is D)

Answer:

Route A is 0.75 km longer than route B.

Step-by-step explanation:

Length of route A is 1.5 times the length of route B.

a = 1.5b

[tex]\frac{a}{b}=\frac{15}{10}[/tex]

[tex]\frac{a}{b}=\frac{3}{2}[/tex] --------(1)

Here, a = Length of route A

b = Length of route B

Length of route A is [tex]\frac{3}{4}[/tex] of route C.

a = [tex]\frac{3}{4}c[/tex]

[tex]\frac{a}{c}=\frac{3}{4}[/tex] ------(2)

Here, c = Length of route C

Length of route C = 3 km

Length of route A = [tex]\frac{3}{4}\times 3[/tex] [From equation (2)]

                             = 2.25 km

Length of route B = [tex]\frac{2}{3}\times 2.25[/tex] [From equation (1)]

                             = 1.5 km

Difference in route A and route B = 2.25 - 1.5

                                                       = 0.75 km

Therefore, route A is 0.75 km longer than route B.

Answer:

Refer the digram & explanation.

Step-by-step explanation:

GIVEN :-

TO PROVE :-

CONSTRUCTION :-

FACTS TO KNOW BEFORE SOLVING :-

PROCEDURE :-

∠QPR + ∠QOR = 180°

⇒ ∠QOR = 180° - ∠QPR

In ΔQOR , OQ = OR (∵ Radii of the circle are equal)

⇒ ΔQOR is an isosceles triangle (∵ OQ = OR i.e. two sides of the triangle are equal.)

⇒ ∠OQR = ∠ORQ (∵ In an isosceles triangle , the base angles are equal)

So,

∠QOR + ∠OQR + ∠ORQ = 180°

⇒ ∠QOR + 2∠OQR = 180°  (∵ ∠OQR = ∠ORQ)

⇒ 180° - ∠QPR = 180° - 2∠OQR  (∵ ∠QPR + ∠QOR = 180°)

⇒ -∠QPR = -2∠OQR  (∵ Cancelling 180° from both the sides.)

⇒ ∠QPR = 2∠OQR (Proved)

Answer:

32 ounces

Step-by-step explanation:

8x4=32

There are 32 ounces of stuffing in 4 of the pillow.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A pillow contains 8 ounces of stuffing.

Now,

Since, A pillow contains 8 ounces of stuffing.

So, The amount of ounces in 4 of the pillow = 8 x 4

                                                                    = 32

Thus, There are 32 ounces of stuffing in 4 of the pillow.

Learn more about the multiplication visit;

https://brainly.com/question/26335040

#SPJ5

Answer:

there's not a question

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

Your question isn't complete but let me help out. The equation that will be used to calculate the amount earned for the hours used will be:

= 15 + (5×h)

= 15 + 5h

Let's assume that Sue works for 6 hours, the amount that she'll earn will be:

= 15 + 5h

= 15 + 5(6)

= 15 + 30

= $45

Answer:

1,296

Step-by-step explanation:

The answer is 1,296 because the numbers are going in the order of powers:

6^1 = 6

6^2 = 36

6^3 = 216

6^5 = 7,776

6^6 = 46,656

The power that is missing is 6 to the 4th power, which, when calculated, would be 1,296.

So, the answer would be 1,296

Answer:

21

Step-by-step explanation:

10^2-8^2=36

square root of 36=6

height=6

6x7x1/2=21

Answer:

m<1=1/2 216 =108

then 2 is 180 -108 =72

Given:

The expression is:

[tex]x^2-3x+4+2x^2-x-12[/tex]

To find:

The terms and like terms in the expression.

Solution:

Terms: Variables, constants and product of variable and constants are known as terms which are separated by addition sign "+".

Like terms: The terms which contain same variables with same power are known as like terms.

The given expression is:

[tex]x^2-3x+4+2x^2-x-12[/tex]

It can be rewritten as:

[tex]x^2+(-3x)+4+2x^2+(-x)+(-12)[/tex]

Terms are [tex]x^2,-3x,4,2x^2,-x,-12[/tex].

Like terms are [tex]x^2,2x^2[/tex] and [tex]-3x,-x[/tex] and [tex]4,-12[/tex].

Answer:

To qualify for a 504 plan, a student needs to have “a physical or mental impairment that substantially limits one or more major life activities.” Life activities can include everyday activities like walking and breathing. But they can also include learning, concentrating, thinking, and communicating.

Step-by-step explanation:

yep

Answer: 504 plans are drafted by a team of specialists. review and compare.

Step-by-step explanation:

i hope this helped

Answer:

Why are circles so important to these constructions write out a concise explanation of the importance of circles in creating equilateral triangles Why did Euclid use circles to create his equilateral triangles in Proposition 1 How does construction of a circle ensure that all relevant segments are of equal?

Connect O to P.

Construct bisector of .

Place compass point at midpoint of. ...

Draw circle.

Connect P to where the two circles intersect to create tangents.

Step-by-step explanation:

hope i helped:)

Answer:

Sorry po idont know po ehhh

Answer:

Graph A has infinite solutions, Graph B has one solution, and Graph C has no solutions

Step-by-step explanation:

Answer:

8x+5

Step-by-step explanation:

it would be 8x+5.

this is because 8x and 5 are not like terms so they cannot be collected which means that the answer is 8x+5

Answer:

square = 8

triangle = 3

circle = 2

Step-by-step explanation:

triangle + triangle = 6, one triangle = 3

triangle + circle = 5, circle = 5 - 3 = 2

square + circle = 10, square = 8

Answer:

point k and point n

K L M N

Step-by-step explanation:

Answer:

Theta = 59 degrees

Step-by-step explanation:

Here, we want to get the value of the marked angle

To do this, we use the appropriate trigonometric ratio

From what we have,

The side 42 ft is adjacent the angle given

The side facing the right angle is 82 ft

The trigonometric ratio that connects the adjacent and the hypotenuse is cosine. It is the ratio of the adjacent to the hypotenuse

Cos theta = 42/82

theta = cos^-1 0.5122

theta= 59.189

To the nearest degrees, this is 59 degrees

Answer:

I believe the answer is '22.82' which would then become '22.8' when rounded to the nearest tenth.

PS: I hope this helps.

Answer:

$1250

Step-by-step explanation:

Given data

Rate= 8%

Time= 8years

Simple interest= $800

Required

The principal P

We know that the expression for simple interest is given as

SI=PRT/100

substitute

800= P*8*8/100

cross multiply

800*100= 64P

80000=64P

divide both sides by 64

P= 80000/64

P=$1250

Hence the initial deposit was $1250

Answer:

-21x-7

Step-by-step explanation:

Answer:

15(1/16)  square feet

Step-by-step explanation:

3 1/2 = 7/2

4 1/3= 13/3

7/2 x  13/3  =  91/6  =  15(1/6)

Answer:

3 < y ≥ -3

Step-by-step explanation:

R = 3 < y ≥ -3

The line can't go beyond 3 and also cant be less than -3.

Answer:

two

Step-by-step explanation:

its really easy if u think abt it

Answer:

infinitely many

Step-by-step explanation:

y=0 is right on the x-axis, so therefore there would be infinitely many             x-intercepts because they are on the x-axis.

Answer:

Equation: 5x = 90

x = 18

<LNM = 54degrees

Step-by-step explanation:

From the diagram shown;

<JNK + <KNL + <LNM = 90

x + x + 3x = 90

5x = 90

x = 90/5

x = 18

The equation 5x = 90 can be used to solve for x

Get <LNM = 3x

<LNM = 3(18)

<LNM = 54 degrees

Answer:

1 C

2 G

Step-by-step explanation: