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3 years ago

6

A right triangle has one angle that measures 23 degrees. The adjacent leg measures 27.6 cm and the hypotenuse measures 30cm. Wha

t is the approximate area of the triangle?

1 answer:

Lynna [10]3 years ago

6 0

You have to find both legs first.

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Which of the following is a point-slope equation of a line that passes through the points (5, 2) and (–1, –6)?

Maru [420]

y - y1 = m(x + x1)

m = (y2 - y1)/(x2 - x1) = (-6 - 2)/(-1 - 5) = -8/(-6) = 4/3

y - 2 = 4/3(x - 5) is a possible answer

y + 6 = 4/3(x + 1) is also a possible answer

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3 years ago

Find the next two terms in this sequence 10, 40, 160, __, __

EleoNora [17]

Inbetween each term, you are multiply by 4.

10 x 4 = 40

40 x 4 = 160

160 x 4 = 640

640 x 4 = 2560

Your next numbers are 640 & 2560.

hope this helps

6 0

3 years ago

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What is the height of a pyramid (with a square base) whose side length is 12 cm and its slant

Bingel [31]

We have been given that side length of pyramid the square base is 12 cm and its slant height is 10 cm. We are asked to find the height of the pyramid.

We will use slant height of a pyramid formula to solve our given problem.

$s=\sqrt{h^2+\frac{1}{4}a^2}$ ,where,

s = Slant height,

h = Height,

a = Each side of square base.

Upon substituting our given values in above formula, we will get:

$10=\sqrt{h^2+\frac{1}{4}\cdot 12^2}$

$10=\sqrt{h^2+\frac{1}{4}\cdot 144}$

$10=\sqrt{h^2+36}$

Switch sides:

$\sqrt{h^2+36}=10$

Let us square both sides:

$(\sqrt{h^2+36})^2=10^2$

$h^2+36=100$

$h^2+36-36=100-36$

$h^2=64$

Now we will take positive square root of both sides.

$\sqrt{h^2}=\sqrt{64}$

$h=8$

Therefore, the height of the pyramid is 8 cm and option 'b' is the correct choice.

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3 years ago

Solve the following equation for r : (1/t(t-1)) - 1/t = 3/t-1

givi [52]

$Domain:\\\\t(t-1)\neq0\to t\neq0\ \vee\ t\neq1$

$\dfrac{1}{t(t-1)}-\dfrac{1}{t}=\dfrac{3}{t-1}\qquad|+\dfrac{1}{t}\\\\\dfrac{1}{t(t-1)}=\dfrac{3}{t-1}+\dfrac{1}{t}\\\\\dfrac{1}{t(t-1)}=\dfrac{(3)(t)}{t(t-1)}+\dfrac{(1)(t-1)}{t(t-1)}\\\\\dfrac{1}{t(t-1)}=\dfrac{3t+t-1}{t(t-1)}\\\\\dfrac{1}{t(t-1)}=\dfrac{4t-1}{t(t-1)}\iff1=4t-1\qquad|+1\\\\2=4t\to4t=2\qquad|:4\\\\\boxed{t=0.5}$

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4 years ago

Soro bought a $50.00 bus card at the beginning of the week. Each bus ride costs $2.50. He needs to have at least $20.00 on his c

Hunter-Best [27]

If Soro wants $20.00 on his card at the end of his month, you should subtract $20 from the $50 right away. This would give you $30. Each bus ride costs $2.50. So what you want to do is divide 2.50 by 30. Your answer should then be 12 rides.

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3 years ago

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