What is the length of JH ?

Step-by-step explanation:

A = πr^2

When r=8m and π = 3.14,

A = 3.14*8*8=200.96sq.m

Answer:

[tex]\huge\boxed{\bf\:200.96\:m^{2}}[/tex]

Step-by-step explanation:

If,

Area (A) of the circle = ?

A = πr²                    [tex]\dashrightarrow[/tex]  Formula

A = 3.14 × (8)²

A = 3.14 × 64

A = 200.96 m²

[tex]\rule{150pt}{2pt}[/tex]

Answer: 5 hours

Step-by-step explanation:

[tex]speed=\frac{distance}{time}[/tex]

Andy speed = 7.5/3 = 2.5 mph

William speed = 15/4 = 3.75 mph

1. Write an equation that represents the question

let h = # of hours it takes William to catch up with andy

   2.5h + 6.25 = 3.75h

2. subtract 2.5h from both sides

   6.25 = 1.25h

3. Divide 1.25 from both sides

   [tex]\frac{1.25h}{1.25} =\frac{6.25}{1.25}[/tex]

   h = 5

Therefore, we know it will take 5 hours for William to catch up with andy.

The pyramid with a volume of 3240 unit³, base of 20 by 18 unit has a height of 27 unit

An equation is an expression that shows the relationship between two or more numbers and variables.

Volume of pyramid = (1/3) * area of base * height

Hence:

3240 = (1/3) * (20 * 18) * x

x = 27 units

The pyramid with a volume of 3240 unit³, base of 20 by 18 unit has a height of 27 unit

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Answer:

75 ft²

Step-by-step explanation:

Surface Area :

Given:

All sides are 5 feet in length.

To find:

The surface area of:

Step-By-Step-Solution:

Step 1

Find the surface area of the square (base)

Formula:

[tex]SA=L*W[/tex]

Find:

[tex]SA=5*5\\=25[/tex]

The surface area of the square (base) is 25ft²

Step 2

Find the surface area of the 4 triangles

We know that to find the surface area of 1 triangle, we do this:

[tex]SA=\frac{1}2} *B*H[/tex]

But to find the surface area of 4 triangle, we will have to do this:

[tex]SA=2*B*H[/tex]

Find:

[tex]SA=2*5*5\\=2*25\\=50[/tex]

The surface area of the 4 triangles in the sides are 50ft²

Step 3

Find the total surface area (by adding all SA's found before)

Just add! EASY!!!

25+50=75ft²

The measure of each arc.

a. JL =  132

b. KM =147

c. JLM = 200

d. JM =120

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint.

The measure of JL

=m JK+ m KL

= 53+79

= 132

The measure of KM

=m KL+ m LM

= 79+68

=147

The measure of JLM

= 53+68+79

= 200

The measure of JM

=360-200

=120

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Answer:

You give no Problem or answers to choose from

Step-by-step explanation:

Sorry

[tex]v = \frac{lwh}{3} [/tex]

[tex]v = \frac{12 \times 10 \times 3}{3} [/tex]

[tex]v = 120 \: {ft}^{3} [/tex]

[tex]v = lwh[/tex]

[tex]v = 12 \times 10 \times 7[/tex]

[tex]v = 840 \: {ft}^{3} [/tex]

[tex]v = 120 + 840[/tex]

[tex]v = 960 \: {ft}^{3} [/tex]

pyramid:

lwh/2

=12×10×3/3

=120 ft^3

prism:

whl

=12×10×7

=840 ft^3

all together:

=960 ft^3

Answer:

[tex]32 \times \frac{15}{16} [/tex]

Step-by-step explanation:

15 1/2 times 2 1/8 ??

[tex](15 \times \frac{1}{2} ) \times( 2 \times \frac{1}{8} )[/tex]

15 ×2 =30 +1 =31/2

2×8=16+1=17/8

[tex] \frac{31}{2} \times \frac{17}{8} [/tex]

[tex] \frac{527}{2 \times 8} [/tex]

527/16

[tex]32 \frac{15}{16} [/tex]

Answer:

18,564

Step-by-step explanation:

The formula is n! / (r!(n-r)!

n is the total number of people and r is the number of people to be picked

n = 18, r = 6

18! / (6!(18-6)!)

18! / (6!*12!)

Total combinations = 18,564

Answer:

3

Step-by-step explanation:

18 ÷ 6 = 3

check and make sure the answer is right so you do the opposite

3 × 6 = 18

If diagonals are drawn from point a to point c . The length of line segment eb is 65 units.

Since the diagonal of  parallelogram bisect one another, hence:

AE=CE

EB=DE=P+15

P-8=2P-58

P=50

Hence:

EB=P+15

EB=50+15

EB=65 units

Therefore the length of line segment eb is 65 units.

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Good afternoon, the

correct answer is 65 units

Answer:

-2

Step-by-step explanation:

f(2)= 2^2 + 2(2) - 10

= 4+4-10

=8-10

= -2

Answer:

37.5 miles

Step-by-step explanation:

y = 1.5x + 15

1.5 * 15 = 22.5

22.5 + 15 = 37.5

Answer:

The answer is B. Two parallel lines lie in the same plane.

Step-by-step explanation:

The answer is Choice B

Step-by-step explanation:

Parallel lines never intersect

Lines that are skew don't have to intersect

Transversal lines intersect other lines

The distance from the centre of the ground to the boundary based on the area given is 93.58 meters.

From the information given, the area of a round cricket oval is 27500 square meters. The information simply wants us to calculate the radius which will be calculated thus:

Area of a circle = πr²

πr² = 27500

(3.14) × r² = 27500

r² = 27500/3.14

r² = 8757.96

r = ✓8757.96

r = 93.58

Therefore, the distance from the centre of the ground to the boundary is 93.58 meters.

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Step-by-step explanation:

if that is a problem for the end of the school year, what problems did you solve during the year ?

this question needs one of the basic principles of angles :

the sum of all angles around one point on one side of a line is always 180°, because that line can be seen as the diameter of a circle, and the point is the center of that circle. so, all angles in one side of the line are representing a half-circle.

this special point here is clearly T.

and 85 + x = 180

x = 180 - 85 = 95°

Answer:

Step-by-step explanation:

Remark

The general formula is

Volume per fish = volume of water / number of fish

Givens

40 L  and 5 fish

100 L and 12 fish

180 L and 23 fish

Solution

Tank A = 40 L / 5 fish = 8 L / fish

Tank B = 100 L /12 fish = 8.3 L / fish

Tank C = 180 L / 23 fish = 7.83L / fish

Answer

From Least to greatest = C A B

Answer:

1) First find the base, then one triangle face and multiply it by four

2) 360 units squared

Step-by-step explanation:

10*10 = 100

10*13 = 130

130*2 = 260

260 + 100 = 360

Answer:

Surface Area=360

Step-by-step explanation:

All the triangles of a square pyramid are congruent meaning you can find the area of 1 and multiply by to find the total surface area of all 4 triangles.

Area of a triangle formula= bh/2

Area of 1 triangle= 13*10/2=65

Multiply by 4 to find the total surface area of the triangles: 65*4=260

Then add the area of the square base.

Area of Square base=10*10=100

Add the total area of the triangles and square base: 260+100=360

Answer:

Step-by-step explanation:

thanks For Answering For My Subscribe

Answer:

A. 350

B. (i) $686 (ii) 39 Hours

Step-by-step explanation:

Based on what's given..

A)

[tex]\sf S=B+8H[/tex]

[tex]\sf 710=B+8\times45[/tex]

[tex]\sf 710=B+360[/tex]

[tex]\sf B=710-360[/tex]

[tex]\boxed{\sf B= 350}[/tex]

B)

(i)

[tex]\sf S=350+8\times42[/tex]

[tex]\sf S=350+336[/tex]

[tex]\boxed{\sf S=686}[/tex]

(ii)

[tex]\sf 662=350+8H[/tex]

[tex]\sf 8H=662-350[/tex]

[tex]\sf H=312 \div 8[/tex]

[tex]\boxed{\sf H=39}[/tex]

The solution  of the given  two positive consecutive even integers will be  a = 20 and b = 21

An integer is a number whose values are ranges from 0 to infinite positive and zero to infinite negative.

Given that :

2a-3b = -23

a and b are consecutive

Find:

a and b

Computation:

a = b - 1

So,

2a-3b = -23

2(b-1)-3b = -23

2b - 2 - 3b = -23

-b = -21

b = 21

So

a = b - 1

a = 21-1

a = 20

Hence the solution  of the given  two positive consecutive even integers will be  a = 20 and b = 21

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Answer:

47 degrees

Step-by-step explanation:

Similar just means they may be different sizes but have the same angle measure. That means the angles will be identical in both triangles A and B.

All angles must add up to 180 degrees. We already have two angles, so we just need to find the last one. 90+43= 133.

180-133=47.

Answer:

The circumference of a circle with a radius of 7 millimeters is 44.0 (rounded to the nearest tenth).

Step-by-step explanation:

The circumference of a circle is the distance around the outside of the circle. The circumference along with the diameter and radius are the 3 major aspects of a circle.

The circumference of a circle is found using this formula:

For this problem, the radius has been given, so to solve, let's use the formula: [tex]c=2\pi *r[/tex].

It has been given that the radius is equal to 7 and the unit of measure is millimeters.

So to start, let's plug the radius in the formula.

It should look like this: [tex]C=2\pi *7[/tex]

After plugging the radius into the formula, we now have to multiply [tex]2\pi[/tex] by [tex]7[/tex]; resulting in: ≈ [tex]43.9823[/tex] (estimate)

Now rounding to the nearest tenth:

≈ [tex]44.0[/tex]

Answer:

French 17

German 35

Italian 38

total 90

French = 17/90 ×360 =68°

German = 35/90 ×360= 140°

Italian 38/90 ×360= 152°

Answer:

8.66

Step-by-step explanation:

15/sqrt(3) = 8.66 (to nearest hundreth)

Answer:

Length: 140 meters

width: 80 meters

Step-by-step explanation:

perimeter of a rectangle is 2*(lw)

440/(14+8)=20

Length: 20*7=140 meters

width: 20*4=80 meters

Answer:

Squares and triangles are both polygons and right triangles and squares both have at least one right angle. They are different because squares have 4 sides and triangles have 3. Also, triangle have a total of 180 degrees while squares have a total of 360 degrees.

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Answer:

KPJ= 40 degrees

Step-by-step explanation:

EPG=35

EPG=FPK because they are symmetrical

135+105=140

180-140=40

DPE=40

DPE=KPJ because they are symmetrical

KPJ=40