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Anon25 [30]
2 years ago
7

Find the area. Simplify your answer. X+4 2x

Mathematics
1 answer:
sattari [20]2 years ago
7 0

Answer:

x² +4x

Step-by-step explanation:

Area of triangle= ½ ×base ×height

Given: base= 2x, height= x +4

Area of triangle

= ½(2x)(x +4)

= x(x +4)

= x(x) +x(4) <em>(</em><em>expand)</em>

= x² +4x

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aleksandrvk [35]

okokok

Step-by-step explanation:

5 0
2 years ago
Felix and Oscar own a pastry shop. Working alone Felix can decorate 8 dozen cookies in 90 minutes. Oscar, on
Bingel [31]

<em>Working together</em>, decorating 16 dozens of cookies will take 103 minutes.

<u>Let's calculate theor individual work rate</u> :

  • Rate = 1/ time

Felix's rate = 1/90

Oscar's rate = 1/120

Combined rate = 1/90 + 1/120 = (4 + 3) / 360 = 7/360

<u>Time taken for both of the to decorate 8 dozens</u> :

Reciprocal of their combined rate = 1 ÷ (7/360) = 51.428571 minutes

<u>Hence, the time taken to decorate 16 dozens will be</u> :

(16/8) × 51.428571 = 102.857 = 103 minutes (nearest while number).

Learn more :brainly.com/question/18796573

8 0
2 years ago
• a helicopter hovering at 10 m above the ground is shining a spotlight at a person 30 m away1 . if the person is 2 m tall how l
pshichka [43]

As shown in the figure

Height of helicopter above the ground=30 m

Distance from the base to the point where the person is standing=30 m

height of the person=2 m

Now the person cast the shadow of length x m.

Triangle ABC and triangle EDC are similar.

∵ ∠B= ∠D=90°

∠C is common.

So by AA similarity ΔABC and ΔEDC are similar.

As we know when triangles are similar their sides are proportional.

AB/AD =BC/DC

Let DC=x meter

⇒\frac{10}{x}=\frac{30+x}{x}

⇒5=\frac{30+x}{x}[/tex]

⇒5x=30+x

⇒4x = 30

⇒ x=30/4

⇒ x=7.5 meter

So length of shadow=7.5 meter

2. volume of a sphere of radius r is v (r) =\frac{4}{3}π r^{3}

\frac{\mathrm{d} }{\mathrm{d} r}V=4/3π×3r^2

       =4πr^2


surface area of a sphere of radius r is 4πr^2

b)  Ratio of derivative of volume of sphere to surface area of sphere=\frac{4\pi r^2}{4\pi r^2}

             =1  [ incomplete question but you have written few words ]

4 0
2 years ago
A family owns two businesses that made a combined profit of $$$10 million in the previous financial year, with business B making
Archy [21]

Answer:

The equation to find the profit made by business combined is x+4x = 10.

Business A made $2 million profit and Business B made $8 million profit.

Step-by-step explanation:

Given:

Profit made in previous financial year = $10 million

We need to write an equation to find the profit made by the business.

Solution:

Let the profit (in millions) made by  business A be 'x'.

Let the profit (in millions) made by  business B be 'y'.

Now given:

business B making 4 times as much profit as business A.

so we can say that;

y =4x

Now we know that;

Profit made in previous financial year is equal to sum of profit (in millions) made by  business A and profit (in millions) made by  business B.

framing in equation form we get;

x+y =10\ million

Substituting the value of y in above equation we get;

x+4x = 10

Hence The equation to find the profit made by business combined is x+4x = 10.

On Solving above equation we get;

5x =10\\\\x =\frac{10}{5} = \$2 \ million

profit (in millions) made by  business A = \$2 \ million

profit (in millions) made by  business B = 4x =4\times 2 =\$8 \ million

Hence Business A made $2 million profit and Business B made $8 million profit.

8 0
3 years ago
Triangle PQR was dilated according to the rule DO,2(x,y)(2x,2y) to create similar triangle P'Q'Q. On a coordinate plane, (0, 0)
Readme [11.4K]

Answer:

1 and 4

Step-by-step explanation:

Ed2020

8 0
3 years ago
Read 2 more answers
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