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4 years ago

The height of a triangular sail is 2 meters less

Mathematics

1 answer:

galina1969 [7]4 years ago

6 0

Answer:

Step-by-step explanation:

Area=1/2(bh)

b=x

height=2x-2, units meters

30=(1/2)bh

60=bh=x(2x-2)

2x^2-2x=60

2x^2-2x-60=0

x^2-x-30=0

(x-6)(x+5)=30

x=6 as only positive root.

2x-2=10

Their product is 60 m^2, half of which is 30 m^2

The base is 6 m; the height is 10 m.

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I have 25 red and white marbles in my pocket. If the ratio red to white is 2:3, how many white marbles do I have?

torisob [31]

Answer:

we have 10 red marbles and 15 white marbles

Step-by-step explanation:

Step 1: Given data

Total marbles = 25

Ratio red: white = 2:3

Step 2: Write an equation

Red marbles = X

White marbles = Y

X+ Y = 25

X = 2/3 Y

2/3 Y + Y = 25

5/3 Y = 25

Y = 15

X =2/3 * 15 = 10

To control this we can plug this in the equation X + Y = 25

10 + 15 = 25

10/15 = 2/3

This means we have 10 red marbles and 15 white marbles

5 0

3 years ago

Read 2 more answers

Gavin earned $253.00 at his job when he worked for 11 hours. How much money did he earn each hour?

denis23 [38]

Answer:

$23.00 Every Hour :)

Step-by-step explanation:

So, in a type of question like this what you would have to do is divide. You can use a calculator or do the long division yourself. The equation would be 253 divided by 11. How many times does 11 go into 253? 23. Then, that's your final answer.

3 0

3 years ago

Read 2 more answers

each statement below describes the transformation of the graph f(x)=x square. which statement correctly describes the graph of g

Vitek1552 [10]

Answer:

The correct option is:

The graph of g(x) is the graph of f(x) translated 7 units up and 7 units right.

Option A is correct option.

Step-by-step explanation:

The parent function is: $f(x)=\sqrt{x}$

The transformed function is: $g(x)=\sqrt{x-7} +7$

We need to find the statement that best describes the transformed function.

We know the transformation rule:

If f(x) is transformed into f(x)+c, then the function is transformed vertically c units up.

If f(x) is transformed into f(x)-c, then the function is transformed vertically c units down.

If f(x) is transformed into f(x-c) then the function is transformed right c units.

If f(x) is transformed into f(x+c) then the function is transformed left c units.

So, In the given transformation:

The parent function is: $f(x)=x^2$

The transformed function is: $g(x)=\sqrt{x-7} +7$

The transformed function is shifted 7 units up $g(x)=\sqrt{x-7} \mathbf{ +7}$ and 7 units right $g(x)=\sqrt{x\mathbf{-7}} +7$

So, The correct option is:

The graph of g(x) is the graph of f(x) translated 7 units up and 7 units right.

Option A is correct option.

8 0

3 years ago

At Grocery Mart,strawberries cost $2.99 for 2lb., and at Baldwin Hills Market strawberries are $3.99 for 3 lb.What is the unit p

ch4aika [34]

The unit price at Grocery Mart is $1.50 (rounded to nearest penny) per pound of strawberries.

The unit price at Baldwin Hills Market is $1.30 (rounded to nearest penny) pound of strawberries.

8 0

3 years ago

please help. answer is 62.1m(squared) and the objects are composite! please show the work, no matter what i do i cant seem to ge

yuradex [85]

Answer:

$SA=62.1\ m^2$

Step-by-step explanation:

step 1

Find the surface area of the smaller rectangular prism

$SA=2B+Ph$

where

B is the area of the base

P is the perimeter of the base

h is the height of the prism

$SA=2[(2.5)(1.5)]+2(2.5+1.5)(1.5)$

$SA=7.5+12=19.5\ m^2$

step 2

Find the surface area of the cube

$SA=6s^2$

where

s is the length side of the cube

$SA=6(2.5^2)=37.5\ m^2$

step 3

Find the lateral area of the cylinder

$LA=\pi DL$

where

D is the diameter of the base

L is the length of cylinder

$LA=(3.14)(0.5)(3.5)=5.495\ m^2$

step 4

Find the area of the base of cylinder

$A=\pi r^{2}$

we have

$r=0.5/2=0.25\ m$ ----> the radius is half the diameter

$A=(3.14)(0.25)^{2}=0.19625\ m^2$

step 5

Find the surface are of the composite figure

we know that

The surface area of the composite figure is equal to the surface area of the smaller rectangular prism plus the lateral area of the cylinder, plus the surface area of the cube, minus the area of the two bases of cylinder

$SA=19.5+5.495+37.5-2(0.19625)=62.1\ m^2$

5 0

3 years ago