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mina [271]
3 years ago
6

EXTRA POINTS! What is the area of the composite figure? Assume angles that appear perpendicular are perpendicular and lines appe

aring parallel are parallel.

Mathematics
1 answer:
e-lub [12.9K]3 years ago
4 0
Total area=
((1 \div 2 ) \times 9) + (13 \times 6) + (1 \div 2) \times 6 \times 6
You might be interested in
Students planted 4(2x+3y) amount of trees on saturday and then 3(5x+4) amount of trees on Sunday. What is the total amount of tr
algol [13]
We have to add the amounts:

4(2x+3y) + 3(5x+4)

First, though, we have to distribute:

4*2x + 4*3y + 3*5x + 3*4
8x + 12y + 15x + 12

Now we just need to simplify:

23x + 12y + 12

The  students planted 23x + 12y + 12 trees total.
7 0
3 years ago
A teenager’s heart pumps an average of 7200 L of blood every 24 hours. What is the rate of change of volume of blood?
love history [14]

Answer:

300L per hour

Step-by-step explanation:

The rate of change of volume of blood pumped by the teenager's heart expresses the volume of blood pumped with respect to hour.

Rate of change of volume of blood = \frac{volume of blood}{time}

                           = \frac{7200L}{24}

                           = 300L/hour

The rate of change of volume of blood by the teenager's heart is 300 litres per hour. This implies that his/ her heart pumps 300 litres of blood every hour.

7 0
3 years ago
Y = 2x + 4 <br> 16x + 4y = 40
Dafna11 [192]
<span>Y = 2x + 4 
16x + 4y = 40

substitute </span>Y = 2x + 4  into <span>16x + 4y = 40

</span><span>16x + 4y = 40
</span>16x + 4(2x + 4) = 40
16x + 8x + 16 = 40
24x  = 40 - 16
24x = 24
x = 1

Y = 2x + 4 
Y = 2(1) + 4 
Y = 6

answer (1, 6)
6 0
3 years ago
Read 2 more answers
Question 4 of 10
ludmilkaskok [199]

Answer:

Option C. 3√3

Step-by-step explanation:

Please see attached photo for brief explanation.

In the attached photo, we obtained the following:

Opposite = a

Adjacent = 3

Hypothenus = 6

Angle θ = 60°

We can obtain the value of 'a' as follow:

Tan θ = Opposite /Adjacent

Tan 60° = a/3

Cross multiply

a = 3 x Tan 60°

But: Tan 60° = √3

a = 3 x Tan 60°

a = 3 x √3

a = 3√3

Therefore, the length of the altitude of the equilateral triangle is 3√3.

5 0
3 years ago
The radius of a size 5 soccer ball is approximately 11.5 cm. How many square inches of synthetic leather does it
kakasveta [241]

Answer:

1661.06 cm²

Step-by-step explanation:

From the question given above, the following data were obtained:

Radius (r) = 11.5 cm

Size of synthetic leather needed =?

To know how many square centimetres of synthetic leather needed to cover the ball, we shall determine the area of the ball. This can be obtained as follow:

Radius (r) = 11.5 cm

Pi (π) = 3.14

Area of ball =?

The shape of a ball is spherical in nature. Thus, we shall apply the formula for calculating the area of a sphere. This is illustrated below:

A = 4πr²

A = 4 × 3.14 × 11.5²

A = 4× 3.14 × 132.25

A = 1661.06 cm²

Thus, 1661.06 cm² of synthetic leather needed to cover the ball.

6 0
2 years ago
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