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2 years ago

I need a helping hand!

Mathematics

1 answer:

Sati [7]2 years ago

8 0

Answer:

x = 145°

Step-by-step explanation:

x and 35° are a linear pair and sum to 180° , that is

x + 35° = 180° (subtract 35° from both sides )

x = 145°

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a sand timer has 5 5/16 ounces of sand. of sand falls at a rate of 2.5 ounces per minute, how many minutes will the timer last?

Hitman42 [59]

Answer:

about 2 minutes

Step-by-step explanation:

first lets make everything in the same term

so 2.5 =2 1/2

then divide 5 5/16 by 2 1/2

or 85/16 divided by 5/2

you get 2 1/8

so you have about 2 minutes before the timer runs out

5 0

3 years ago

If the area of the blue square is 144 units2 and the area of the pink square is 1225 units2, then the length of the hypotenuse i

navik [9.2K]

Answer: 37 units

Step-by-step explanation:

$Blue=144units^2$ This also works as the height of the triangle.

$Pink=1225units^2$ This also works as the base of the triangle.

Let's call pink ''a'', and blue ''b''. The side we're looking for ''c'' is the hypothenuse.

To find the values of a and b, use the area formula of a square and solve for a side. In this case, since we're going to need the squared values, this step can be omitted.

$Formula: A=s^2$

$s=\sqrt[]{A}$

Let's work with Blue.

$s=\sqrt[]{144units^2} \\s=12units$

Now Pink.

$s=\sqrt[]{1225units^2}\\s=35units$

So we have a triangle with a base of 35 units and a height of 12 units.

Now let's use the pythagoream's theorem to solve.

$c^2=a^2+b^2\\c=\sqrt[]{a^2+b^2} \\c=\sqrt[]{(12units)^2+(35units)^2}\\c=\sqrt[]{144units^2+1225units^2}\\ c=\sqrt[]{1369units^2}\\ c=37units$

7 0

3 years ago

Find the product and simplify your answer. 7a5(-3a4+5a-5)

Alex Ar [27]

$\text{Hey there!}$

$\mathsf{Use\ distributive\ property\ to\ solve}}\\\\\text{The formula is : a(b + c)=a(b)+a(c)=b+ac}\\\\\mathsf{7a^5(-3a^4+5a-5)}\\\\\mathsf{7a^5(-3a^4)=-21a^9}\\\\\mathsf{7a^5(5a)=3a^6}\\\\\mathsf{7a^5(-5)=-35a^5}$