Let one acute angle be X and one be Y
X+Y=90 -------Eq.1
2X+12=Y
2X-Y=-12------Eq.2
solving eq 1&2 we get,
3x=78
∴X=26
substituting value X in equation.1
X+Y=90
Y=90-26
∴Y=64
⇒answer:- X=26°
Y=64°

8 0

3 years ago

If a cone shaped vase can hold 45 cubic centimeter of water and has a radius of 2 centimeters what is the height of the vase use

xz_007 [3.2K]

Answer:

The height of the vase is $h=10.75\ cm$

Step-by-step explanation:

we know that

The volume of a cone is equal to

$V=\frac{1}{3}\pi r^{2} h$

we have

$V=45\ cm^{3}$

$r=2\ cm$

$\pi =3.14$

substitute and solve for h

$45=\frac{1}{3}(3.14)(2)^{2} h$

$135=(3.14)(4)h$

$135=12.56h$

$h=135/12.56$

$h=10.75\ cm$

3 0

3 years ago

Use a number line to show the sum of 6 + (–7).

mylen [45]

So there is a rule
(+)(+)=+
(-)(+)= -
(+)(-)= -
So now if you subtract 6 with 7 you will end up having -1 as you’re answer. Hope this helps

4 0

3 years ago

Find the value of x.<br> 105°/15x

Natalija [7]

$\text{The two angles are supplementary, so their measures add up to 180 degrees.}$

$~~~~~~15x+105 = 180\\\\\implies 15x = 180 -105\\\\\implies 15x = 75\\\\\implies x =\dfrac{75}{15}\\\\\implies x = 5$

8 0

2 years ago