A rectangular whiteboard has an area of x^2-12x-45. Which expression could

ABC is an eqilateral triangle with sides 10cm find the length of the prependicular from A to BC

il63 [147K]

All sides are equal in an equilateral triangle and the perpendicular bisects the side too.

so BC will be bisected and the segments be 5 each.

you can use Pythagoras theorem to find the altitude length, hypotenuse will be one side of the triangle.

$5^2+h^2=10^2$

$h^2=100-25=75$

$h=\sqrt{75}=5\sqrt3$

7 0

3 years ago

. Anne is pushing a wheelbarrow filled with mulch to place in her garden. She is pushing the wheelbarrow with a force of 70 N at

Kruka [31]

Answer:

When Anne pushes the wheelbarrow 25 meters the work done is 1120 joules

Solution:

We know $\text { Work }(\mathrm{W})=\text { Force }(\mathrm{F})\times\text { Distance (D) }$

Anne is pushing the wheelbarrow with a force of 70 N at an angle of $50^{\circ}$ with the horizontal

So the force of Anne will be $F=70 \cos 50^{\circ}=(70 \times 0.64)=44.8 \mathrm{N}$

She pushes the wheelbarrow 25 meter, So D = 25 meters

So, the $work,F\times D=(44.8 \times 25)=1120 \text { Joules }$

Anne has done total 1120 joules work.

4 0

2 years ago

Find the value of x pls

Basile [38]

Step-by-step explanation:

As we can see it a right angled triangle

so <y =90°

Now

3x + 11° + 25° + 90° = 180°{being sum of angles of triangle}

3x + 126° = 180°

3x = 54°

X = 18°

6 0

2 years ago

Roger is buying a new pair of shoes for 25% off. If the original price of the shoes was $80.00, how much money is Roger saving o

wlad13 [49]

Well, we know that 25% is also 1/4 and if we multiply $80.00 by 1/4 you get $20 so the answer is $20.

3 0

3 years ago

Read 2 more answers

Gabby and Sydney bought some pens and pencils. Gabby bought 4 pens and 5 pencils for $6.71. Sydney bought 5 pens and 3 pencils f

denpristay [2]

Answer:

The cost of each pens is $1.19

The cost of each pencils is $0.39

Step-by-step explanation:

Given as :

The number of pens bought by Gabby = 4

The number of pencils bought by Gabby = 5

The number of pens bought by Sydney = 5

The number of pencils bought by Sydney = 3

The total cost of Gabby items = $6.71

The total cost of Sydney items =$7.12

Let The cost of each pens = x

And The cost of each pencils = y

Now, According to question

For Gabby

4 x + 5 y = $6.71 .............1

For Sydney

5 x + 3 y = $7.12 .............2

Now, Solving both equations

5 × (4 x + 5 y) - 4 × (5 x + 3 y) = 5 × 6.71 - 4 × 7.12

Or, 20 x + 25 y - 20 x - 12 y = 33.55 - 28.48

Or, (20 x - 20 x) + (25 y - 12 y) = 5.07

or, 0 + 13 y = 5.07

∴ y = $\frac{5.07}{13}$

I.e y = $0.39

So, The cost of each pencils = y = $0.39

Again , put The value of y in eq 1

I,e 4 x + 5 y = $6.71

Or, 4 x + 5 × 0.39 = 6.71

or, 4 x + 1.95 = 6.71

or, 4 x = 6.71 - 1.95

or , 4 x = 4.76

∴ x = $\frac{4.76}{4}$

I.e x = $1.19

The cost of each pens = x = $1.19

Hence The cost of each pens is $1.19

And The cost of each pencils is $0.39 Answer

6 0

3 years ago