All categories

3 years ago

Work out the height of a parallelogram with a base of 4.6cm and a height of 2cm

Mathematics

1 answer:

klio [65]3 years ago

3 0

Answer:

I think its ,just maybe 45cm

You might be interested in

A truck driver transported 748 boxes of goods at the first time. And the number of boxes of goods at the second time decreased t

dedylja [7]

Answer: 25% decrease in number of boxes of goods

Step-by-step explanation:

If you want to find a percent of a number you turn the percent into a decimal

Example:

Step 1

25% of 748

Step 2

0.25*748=561

8 0

3 years ago

If x^2+1/x^2=3 find the value of x^2/(x^2+1)^2<br> Express answer as a common fraction.<br> Thanks!!

timama [110]

$x^2+\dfrac1{x^2}=3\implies x^4+1=3x^2\implies x^4-3x^2+1=0$

By the quadratic formula,

$x^2=\dfrac{3\pm\sqrt5}2\implies x^2+1=\dfrac{5\pm\sqrt5}2$

Then

$(x^2+1)^2=\dfrac{25\pm10\sqrt5+5}4=\dfrac{15\pm5\sqrt5}2$

$\implies\dfrac{x^2}{(x^2+1)^2}=\dfrac{\frac{3\pm\sqrt5}2}{\frac{15\pm5\sqrt5}2}=\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}$

Multiply numerator and denominator by the denominator's conjugate:

$\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15$

3 0

3 years ago

A person invested $6,000, some at 7% and the rest at 5%. The income from the 7% investment is equal to the income from the 5% in

8090 [49]

Answer:

The person invested $3500 at 7% and $2500 at 5%

Step-by-step explanation:

We can say that $0,07x+0,05x=6000$ because the investment is equal both in one as in another, where x is the income from the investment.

Solving the equation we have:

$0,12x=6000\\x=50000$

Then to get the incomes:

At 7%: $I=0.07*50000\\I=$3500$

And at 5%: $I=0.05*50000\\I=$2500$

Finally we can demonstrate the answer because the income at 7% + income at 5% are 3500+2500=$6000

6 0

3 years ago

For this problem use 3.14 for , and any non-integer answers should be entered as decimals rounded to the hundredths place. Lanno

arsen [322]

Answer:

Step-by-step explanation:

For this problem use 3.14 for , and any non-integer answers should be entered as decimals rounded to the hundredths place. Lannon is designing a carnival game for a school event. She has a large wooden square and she needs to cut out a circle from the middle. The circumference of the circle that she plans to cut out is 56.52 inches. What is the radius

The formula for circumference of a circle = 2πr

Circumference = 56.52 inches

r = Circumference/2π

r = 56.52/2π

7 0

3 years ago

The point Z(5, -3) is rotated 270° clockwise around the origin. What are the coordinates of the resulting point, Z′?

g100num [7]

Answer:

(3, - 5 )

Step-by-step explanation:

Under a clockwise rotation about the origin of 270°

a point (x, y ) → (- y, x ), hence

Z(5, - 3 ) → Z'(3, - 5 )

4 0

3 years ago

Work out the height of a parallelogram with a base of 4.6cm and a height of 2cm​

Work out the height of a parallelogram with a base of 4.6cm and a height of 2cm