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3 years ago

____ angles are pairs of angles with measures that sum to 90 degrees

Mathematics

1 answer:

Mama L [17]3 years ago

7 0

Answer:

Complementary

Step-by-step explanation:

<u>COMPLEMENTARY</u> angles are pairs of angles with measures that sum to 90 degrees.

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Can I please have help with question 2) a and b

Ulleksa [173]

Answer:

$\frac{10\sqrt{6} }{3}$ and $\frac{11\sqrt{3} }{3}$

Step-by-step explanation:

(a)

A = $\frac{1}{2}$ × 4 $\sqrt{2}$ × $\frac{5}{\sqrt{3} }$

= 2 $\sqrt{2}$ × $\frac{5}{\sqrt{3} }$

= $\frac{10\sqrt{2} }{\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$ ← rationalise the denominator

= $\frac{10\sqrt{6} }{3}$ units²

(b)

Using Pythagoras' identity in the right triangle

let hypotenuse be h , then

h² = (4 $\sqrt{2}$ )² + ( $\frac{5}{\sqrt{3} }$ )²

= 32 + $\frac{25}{3}$

= $\frac{96}{3}$ + $\frac{25}{3}$

= $\frac{121}{3}$ ( take the square root of both sides )

h = $\sqrt{\frac{121}{3} }$ = $\frac{11}{\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$ ← rationalise the denominator

h = $\frac{11\sqrt{3} }{3}$

7 0

2 years ago

Find the surface area of the prism

SVEN [57.7K]

Answer:

136 $m^{2}$

Step-by-step explanation:

Well if you find the lateral area (the area of the rectangles on the sides) to get 112, so you just need to add that to the triangles and for those (they add up to 36) you can just use the formula for the area of a triangle, which is $b*h/2$ .

Hope this helps :)

7 0

1 year ago

What is the value of v?

sammy [17]

Basically, this is saying that 80% of (x) = 2 so you have know what the whole would be. It would be 2.5 because 80% of 2.5 is 2. So because you are subtracting 7 from v to get 2.5, you have to add 2.5 to 7 to get v. V=9.5

5 0

3 years ago

Read 2 more answers

-2b^2-18b^2<br> Help me. Plz

satela [25.4K]

Answer:

${ \tt{ - {2b}^{2} - 18 {b}^{2} }} \\ = - {20 {b}^{2}}$