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2 years ago

(SAT Prep) Find the value of x.

Mathematics

1 answer:

nydimaria [60]2 years ago

3 0

Step-by-step explanation:

Both the angles will sum up to 180° as they are adjoint angles.

3x+2x= 180°

5x=180°

x=180°/5

x=36°

[Extra:- 3x=3×36=108° and 2x=2×36=72° 5x=108°+72°=180°]

Hope this helps you .

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Write the equation of the line perpendicular to

r-ruslan [8.4K]

Solving for y, we add 5y to both sides and subtract 4, getting 9x-4=5y. Dividing both sides by 5, we get 9x/5-4/5=y. Since the slope is 9/5 (since 9/5*x=9x/5), we multiply it by -1 and find the reciprocal of it to get -5/9 as the perpendicular slope, so -5x/9+b=y. Plugging 1 in for x and -6 in for y, we get -5*1/9+b=-6 and by adding 5/9 to both sides we get -5-4/9=b , and since in y=mx+b y and x are variables, we end up with y=-5x/9+(-5-4/9) for slope intercept form.

To get it into standard form, we need it in ay+cx=b with a, b, and c being constants. Adding 5x/9 to both sides, we end up with y+5x/9=(-5-4/9) for standard form

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3 years ago

Find the volume of the figure. Round your answer to the nearest tenth if necessary. Use 3.14 for .

sp2606 [1]

Answer:

$\boxed{\rm \: Volume_{(Cylinder)} \approx \: 307.7 \: m {}^{3} } ( \rm \: nearest \: tenth )$

Step-by-step explanation:

Given:

radius = 7 metres
height = 2 metres
π = 3.14

To Find:

Volume of the cylinder

Solution:

Use the formulae of the volume of cylinder:

$\boxed{\rm \: Volume_{(Cylinder)} = \pi{r} {}^{2} h}$

where,

π = 3.14
r = radius
h = height

According to the question:

radius = 7 metres
height = 2 metres

Substitute the values onto the formulae in order to find out the volume:

$\rm \: Volume_{(Cylinder)} = \pi(7) {}^{2} (2)$

$\rm \: Volume_{(Cylinder)} = \pi(49)(2)$

$\rm \: Volume_{(Cylinder)} = 98\pi$

$\rm \: Volume_{(Cylinder)} = \: 98 \times 3.14$

$\rm \: Volume_{(Cylinder)} = 307.72 \: m {}^{3} \: (exact \: form)$

$\boxed{\rm \: Volume_{(Cylinder)} \approx \: 307.7 \: m {}^{3} } \: ( \rm nearest \: tenth )$

<u>Hence,we can conclude that:</u>

The volume of the cylinder is approximately

307.7m³.

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1 year ago

Can I please get some help with this probem?

Lemur [1.5K]

Answer:

In Step 4, the inequality sign should be flipped.

Step-by-step explanation:

Whenever you multiply or divide both sides of an inequality by a negative number, you need to flip the inequality sign. So, in Step 4, when you divide both sides by -10, the sign should be flipped.

The final answer should be:

$\frac{-27}{10} \geq x$