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2 years ago

Helpmehhhhhhhh plzzzzzzzzzzz

Mathematics

1 answer:

valentinak56 [21]2 years ago

3 0

8 is 53.8
Cuz 66.93-6.57x2= 53.78 rounded to the nearest tenth 53.8

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The sum of 6 consecutive integers is 204. what is the fourth number in this sequence?

zloy xaker [14]

Let $x$ by the smallest of the 6 integers. Then

$x+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)=204$

$\implies6x+15=204$

$\implies6x=189$

But 189 is odd, so it cannot be divisible by 6, which means $x$ is not an integer...

8 0

2 years ago

The population in the current year is 31.5 million and the real GDP is $814 million. The previous year's statistics were a popul

andrew11 [14]

Answer:

The change in the standard of living, measured by growth in real GDP per person, is 0.1356%

Step-by-step explanation:

Given,

In the current year,

Population = 31.5 million,

Real GDP = $814 million,

So, the real GDP per person = $\frac{814}{31.5}$ ≈ 25.841

In the previous year,

Population = 31 million,

Real GDP = $800 million,

So, the real GDP per person = $\frac{800}{31}$ ≈ 25.806

Hence, change percentage = $\frac{\text{Change in GDP per person}}{\text{Previous year GDP per person}}\times 100$

$=\frac{25.841-25.806}{25.806}\times 100$

$=\frac{0.035}{25.806}\times 100$

$=\frac{3.5}{25.806}$

≈ 0.1356 %

5 0

3 years ago

What is equivalent to 8/9 divided by 3/4

Pavel [41]

Answer:

Dividing by a fraction is the same as multiplying with the opposite of the fraction. 8/9 / 3/4=8/9×4/3=32/27=1 5/27.

Step-by-step explanation:

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2 years ago

Find the area of a rhombus with side length 6 and an interior angle with measure $120^\circ$.

Serhud [2]

Answer:

The area of a rhombus is $18\sqrt{3}$ square units.

Step-by-step explanation:

Side length of rhombus = 6 units.

Interior angle of rhombus = 120°

another Interior angle of rhombus = 180°-120° = 60°.

Draw an altitude.

In a right angled triangle

$\sin \theta=\frac{opposite}{hypotenuse}$

$\sin (60)=\frac{h}{6}$

$\frac{\sqrt{3}}{2}=\frac{h}{6}$

Multiply both sides by 6.

$3\sqrt{3}=h$

The height of the rhombus is $3\sqrt{3}$ .

Area of a rhombus is

$Area=base\times height$

$Area=6\times 3\sqrt{3}$

$Area=18\sqrt{3}$

Therefore, the area of a rhombus is $18\sqrt{3}$ square units.

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