Write an algebraic expression to find the AREA of a rectangle with a length of 4x-5 and a width of 7.

Gwar [14]

The answer to this is 8

7 0

2 years ago

An equilateral is shown inside a square inside a regular pentagon inside a regular hexagon. The square and regular hexagon are s

Kay [80]

Shaded area = area of the hexagon – area of the pentagon + area of the square – area of the equilateral triangle. This can be obtained by finding each shaded area and then adding them.

<h3>Find the expression for the area of the shaded regions:</h3>

From the question we can say that the Hexagon has three shapes inside it,

Pentagon

Square

Triangle

Also it is given that,

An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon.

From this we know that equilateral triangle is the smallest, then square, then regular pentagon and then a regular hexagon.

A pentagon is shown inside a regular hexagon.

Area of first shaded region = Area of the hexagon - Area of pentagon

An equilateral triangle is shown inside a square.

Area of second shaded region = Area of the square - Area of equilateral triangle

The expression for total shaded region would be written as,

Shaded area = Area of first shaded region + Area of second shaded region

Hence,

⇒ Shaded area = area of the hexagon – area of the pentagon + area of the square – area of the equilateral triangle.

Learn more about area of a shape here:

brainly.com/question/16501078

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8 0

1 year ago

Read 2 more answers

a quarterback threw a football 10 yards 2 feet and 1 inch. how many inches did the quarterback throw the football

g100num [7]

10*3 = 30 feet
30 ft*12 =360 inches
2ft *12 in=24 inches
360 +24 +1=385 inches

8 0

3 years ago

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Sean b= 5,79; c= 10,4,el angulo A= 54,46°, el angulo C mide ?

Rzqust [24]

Answer:

$C \approx 91.732^{\circ}$

Step-by-step explanation:

(This exercise is presented in Spanish and for that reason explanation will be held in such language)

El lado restante se determina por la Ley del Coseno:

$a = \sqrt{b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A}$

$a = \sqrt{5.79^{2}+10.4^{2}-2\cdot (5.79)\cdot (10.4)\cdot \cos 54.46^{\circ}}$

$a \approx 8.466$

Finalmente, el angulo C se halla por medio de la misma ley:

$\cos C = - \frac{c^{2}-a^{2}-b^{2}}{2\cdot a \cdot b}$

$\cos C = -\frac{10.4^{2}-8.466^{2}-5.79^{2}}{2\cdot (8.466)\cdot (5.79)}$

$\cos C = -0.030$

$C \approx 91.732^{\circ}$

3 0

2 years ago

A small resort is situated on an island that lies exactly 3 miles from P, the nearest point to the island along a perfectly stra

Artemon [7]

Answer:

The distance from the shoreline from P the pipe from the island will reach land in order to minimize the total construction cost is 0 m, or the pipe should be routed to the point P

Step-by-step explanation:

We note that, cost to lay pipe in water = 2.3 × cost to lay pipe on land

Distance of the small resort on the island from point p on the shoreline = 3 miles

Location of the closest source of fresh water is 10 miles along the shoreline from p

∴ The small resort, the point p and the closest source of the fresh water on the shoreline together form a right triangle with sides

Height = 3 miles

Base = 10 miles and

Hypotenuse = $\sqrt{3^2 + 10 ^2} = \sqrt{109} = 10.44 \, m$

To find the cost of laying the pipeline by the various route, we multiply the water routes by 2.3 and the land routes by 1 and we get

Costs:

Height = Water route = 2.3 × 3 miles = 6.9

Base = Land route = 1 × 10 miles = 10

Hypotenuse = Water route = 2.3 × 10.44 miles = 24.012

Therefore, the two routes are either

10 miles to point p and 3 miles across the water to the resort with a cost = 10 + 6.9 = 16.9 or

Directly to the small resort through 10.44 miles across the water with cost = 24.012

Therefore, to minimize cost, the pipe should come from the resort to P from there to the fresh water source.

That is the distance from the shoreline from P the pipe from the island will reach land in order to minimize the total construction cost = 0 m.

7 0

3 years ago