In the figure above, the shaded triangle is bounded by the y-axis, the line y=6, and the line y=2/3x. What is the area, in square units, of the shaded triangle?

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.

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

Answer:

37.5 miles

Step-by-step explanation:

y = 1.5x + 15

1.5 * 15 = 22.5

22.5 + 15 = 37.5

[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:

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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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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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]

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

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:

French 17

German 35

Italian 38

total 90

French = 17/90 ×360 =68°

German = 35/90 ×360= 140°

Italian 38/90 ×360= 152°

Answer:

-2

Step-by-step explanation:

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

= 4+4-10

=8-10

= -2

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:

[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:

162m²

Step-by-step explanation:

distance from corner to center = 1/2 of the diagonal

all sides are equal, and this has 4 sides, so it is a square

9m = 1/2 of diagonal

multiply both sides by 2 to isolate the diagonal

18m = diagonal

area of square = length²

length * √2 = diagonal

given the diagonal, we can find the length and then the area

length * √2 = diagonal

divide both sides by √2 to find the length

18m/√2 = length ≈12.7

square the length to find the area

area = 162 m²

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:

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:

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

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:

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:

Step-by-step explanation:

thanks For Answering For My Subscribe

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

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

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:

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 margin error is 2.82%.

A margin of error is a statistical measurement that accounts for the difference between actual and projected results in a random survey sample

The margin of error for a sample proportion is given by

[tex]z_{\alpha /2}\sqrt{ \frac{p(1-p)}{n} }[/tex]

where p is the sample proportion and n is the sample size.

Consider the  confidence level of 95%, then  [tex]z_{\alpha /2}[/tex] = 1.96

p = 53% = 0.53 and n =1200

Thus, Margin of error=

[tex]z_{\alpha /2}\sqrt{ \frac{p(1-p)}{n} }[/tex]

=1.96[tex]\sqrt{ \frac{0.53(1-0.53)}{1200} }[/tex]

=1.96*0.0144

=0.0282

= 2.82%

Hence, margin error is  2.82%.

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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