Mr. Garvey is almost finished working on his rectangular patio. He has ordered enough patio stones to cover an area of 600ft2. He knows that his yard is 30ft wide. He also remembers that there is an equation for areas of a rectangle: FASTTTTT

0.083 In decimal 8.3% in percentage

Answer:

Step-by-step explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

From the question we have

PE = 15 × 9.8 × 5

We have the final answer as

Hope this helps you

Answer:

Angle AGC

Step-by-step explanation:

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. ... For example, a 50-degree angle and a 40-degree angle are complementary; a 60-degree angle and a 120-degree angle are supplementary

Answer:

10000

Step-by-step explanation:

Let the number = x

Square root of x divided by 5 equals 20

√x / 5 = 20

Using cross multiplication

√x = 20 * 5

√x = 100

Take the square of both sides

(√x)² = 100²

x = 10000

Therefore, the number is 10000

Answer:

Step-by-step explanation:

you would do 60 divided by 5 which would get you 12

then you multiply 12 by 3 which would be 36

lastly you would multiply 36 by 7 which would get you

252

Answer:

so first you take 7 and you multiply by 60 bc that way you will have the minutes 60x7=420 then you divide 420 by 5 and get 84 then 84x3=252

Step-by-step explanation:

Answer:

1843:6754.9709254546.,657675

Step-by-step explanation:

The measure of the angle of the triangle is calculated by the law of sines and m∠S = 59.7°

The relationship between a triangle's sides and angles is provided by the Law of Sines. Trigonometry's law of sines can be expressed as a/sinA = b/sinB = c/sinC, where a, b, and c are the lengths of the triangle's sides, and A, B, and C are the triangle's respective opposite angles.

Law of Sines :

a / sin A = b / sin B = c / sin C

Given data ,

Let the triangle be represented as ΔRST

Now , the measure of s = 620 cm

The measure of side r = 210 cm

And , the measure of angle m∠R = 17°

From the law of sines , we get

a / sin A = b / sin B

On simplifying , we get

sin ( 17 )° / 210 = sin ( S ) / 620

Multiply by 620 on both sides , we get

sin ( S ) = ( 620 / 210 ) x 0.2923717

On further simplification , we get

sin S = 0.86319265203

Taking inverse on both sides , we get

S = sin⁻¹ ( 0.86319265203 )

S = 59.68°

S = 59.7°

Therefore , the value of S is 59.7°

Hence , the measure of angle m∠S = 59.7°

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Here,

ADDITIONALL,both two equation.

we get that,

so,

Answer:

associative property

Step-by-step explanation:

happy to help :)

Answer:

Associative Property

Step-by-step explanation:

The property says you can regroup the three numbers being added.

(a + b) + c = a + (b + c)

Either add a and b first, then add c, ...

or, add b and c first, then add that result to a.

The Percentage increase in the purchase price each year is 4.5%.

The given function is:

[tex]V(t)=P(1.045)^t[/tex]

Where P is the purchase price of the baseball card and t is the time.

A function is a rule that establishes a relation between two variables.

[tex]V(1)=P(1.045)^1\\V(1)=1.045P[/tex]

[tex]V(2)=P(1.045)^2\\V(2)=1.092025P[/tex]

Percentage increase in the purchase price each year

=[tex]\frac{V(2)-V(1)}{V(1)} *100[/tex]

[tex]=\frac{1.092025P-1.045P}{1.045P} *100[/tex]

[tex]=4.5%[/tex]%

Hence, the Percentage increase in the purchase price each year is 4.5%.

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Answer:

2,827.43

Step-by-step explanation:

Answer:

Step-by-step explanation:

Square

519450.2

Holes

Semi-circle: 1/2*pi*r^2

diameter = 700/2 = 350 =radius

1/2*pi*350 = 175*pi

Triangle

1/2 b*h

1/2 200*400

100*400

40000

Take out the semi circle and triangle

560000-40000-175*pi

520000-175*pi = 519450.2

Answer:

2.1 kilometers

Step-by-step explanation:

Pythagoras' Theorem

a^2 + b^2 = c^2

2^2 + b^2 = 2.9^2

2.9^2 - 2^2 = b^2

8.41 - 4 = 4.41

b = √4.41

b= 2.1

Answer:

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

Answer:

x=30

Step-by-step explanation:

x/5-16=-10

x/5=-10+16

x/5=6

x=6×5

x=30

Answer:

Real number

Rational number

Step-by-step explanation:

Answer:

54°

Step-by-step explanation:

Because p and q are parallel, angle 3 equal to angle 6 as they are alternative angles.

So angle 6 is 54°.

Alternative

Line p and line q is parallel, so that the sum of a pair of interior angles (angle 3 and angle 5, angle 4 and angle 6) are equal to 180°.

So angle 4 + angle 6 = 180°.

Find angle 4 first:

180° - angle 3 = angle 4

180° - 54° = 126°

So the measure of angle 6 is

180° - 126° = 54°

Answer:

54 degrees

Step-by-step explanation:

Answer:

378 cm

Step-by-step explanation:

Answer:

The individual has 36.09 pounds of body fat.

Step-by-step explanation:

Given that an individual has a body fat percentage of 19.3% and weighs 187 pounds, to determine how many pounds of her weight is made up of fat the following calculation must be performed:

(187 x 19.3) / 100 = X

3.609.1 / 100 = X

36.091 = X

Therefore, the individual has 36.09 pounds of body fat.

Answer: #1 D 60 2# H

Step-by-step explanation:

Answer:

2/6  or 33.3%

1/6 or 16.65%

3/6 or 50%

0/6 0r 0%

Step-by-step explanation:

Answer:

D. 4 units to the left

The transformation of the function will be 4 units to the left. The correct option is D.

A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They've simply shifted in one or more directions.

Given that the functions are f(x) = x³ and g(x) = ( x + 4 )³. The translation of the function will be at 4 units to the left.

When the functions are plotted on the graph the translation is seen to the left of the origin at the coordinate (-4,0).

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Answer:

[tex]x = \frac{5a-2} {7+5a}\\[/tex]

Step-by-step explanation:

Given the expressions

[tex]x = \frac{5}{9y+5}....1\\y = \frac{5}{5a-2} ...2[/tex]

Substitute 2 into 1

[tex]x = \frac{5}{9(\frac{5}{5a-2} )+5} \\x = \frac{5}{(\frac{45}{5a-2} )+5} \\x = \frac{5}{\frac{45+5(5a-2)}{5a-2} } \\x= \frac{5}{\frac{35+25a}{5a-2} }\\x = \frac{5(5a-2)} {35+25a}\\x = \frac{5(5a-2)} {5(7+5a})\\\\x = \frac{5a-2} {7+5a}\\[/tex]

Given:

The logarithmic equation is:

[tex]\log x+\log (x-3)=1[/tex]

To find:

The value of x.

Solution:

Properties of logarithm used:

[tex]\log a+\log b=\log (ab)[/tex]

[tex]\log 10=1[/tex]

[tex]\log x[/tex] is defined for [tex]x>0[/tex].

We have,

[tex]\log x+\log (x-3)=1[/tex]

Using properties of logarithm, we get

[tex]\log [x(x-3)]=\log 10[/tex]

[tex]x^2-3x=10[/tex]

Splitting the middle term, we get

[tex]x^2-5x+2x-10=0[/tex]

[tex]x(x-5)+2(x-5)=0[/tex]

[tex](x-5)(x+2)=0[/tex]

[tex]x=5,-2[/tex]

In the given equation, we have a term [tex]\log x[/tex]. It means the value of x must be greater than 0 or positive. So, the only possible value of x is:

[tex]x=5[/tex]

Therefore, the value of x is 5.

Sa Of Rectangular Prism - 65

Sa Of Pyramid - 85

TOTAL SURFACE AREA - 150

Answer:

110 square centimeters.

Step-by-step explanation:

The area for a trapezoid can be figured out with the equation (a + b)h/2.

(9 * 5) + (9 + 4)10/2 {Work inside the parentheses first.}

45 + (13)10/2 {Divide 10 by 2 to get 5.}

45 + 13(5) {Multiply 13 by 5 to get 65.}

45 + 65 {Add 45 & 65 to get 110.}

110 square centimeters.

The area of the figure is 110 square centimeters.