Simplify the expression, 4/9z - 3/9z + 4 - 5/9z

Find the height of a cone with a volume of 150 in^3 and a diameter of 20 in. Use 3.14 for π.

Zolol [24]

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

150 = $\frac{1}{3}$ x 3.14 x 10 x 10 x h

150 x 3 = 314 x h

h = 450/314

h = 1.43 inches

6 0

3 years ago

triangle ABC is Isosceles CA and CB are equal AB is parallels to the x- axis. Work out the coordinate of A. Given that BC=5cm wo

BabaBlast [244]

Answer:

The perimeter of the triangle ABC is 17 cm.

Step-by-step explanation:

Consider the Isosceles triangle ABC.

The sides CA and CB are equal with measures, 5 cm.

The base angles are assumed to be x° each. Hence, the angle ACB is 2x°.

The altitude CP divides the base AB into two equal halves and the angle ACB is also cut into halves.

Consider the right angled triangle ACP.

The sum of all the angles in a triangle is 180°.

Determine the value of x as follows:

x° + x° + 90° = 180°

2x° = 90°

x° = 45°

Compute the length of side AP as follows:

$cos\ 45^{0}=\frac{AP}{CA}$

$\frac{1}{\sqrt{2}}=\frac{AP}{5}$

$AP =\frac{5}{\sqrt{2}}\\\\AP=3.5$

Then the length of side AB is:

AB = AP + PB

= 3.5 + 3.5

= 7 cm

The perimeter of triangle ABC is:

Perimeter = AB + CA + CB

= 7 + 5 + 5

= 17

Thus, the perimeter of the triangle ABC is 17 cm.

8 0

3 years ago

What is 1 and 5/6 as a decimal?

balandron [24]

Answer: 1.83

Step-by-step explanation:

Hope this helps!

8 0

3 years ago

What is 243.875 rounded to the nearest tenth hundredth ten and hundred

DedPeter [7]

200.000 for the nearest tenth hundred and 243.900 for the nearest hundred

4 0

3 years ago

Read 2 more answers

Can someone help me with this page please I have an exam tomorrow, I need to remember the answers unfortunately :)

zimovet [89]

Answer:

1. B. ∠2 and ∠6

2. 50°

3. Option 1, Option 5, and Option 6.

4. 133°

Work for question 4:

180°-47° = 133°

Step-by-step explanation:

1.

Alternate means the angles are on different sides of the transversal (horizontal line in this case). Interior means they are between the parallel lines (lines a and b in this case). (∠2 and ∠6) and (∠3 and ∠7) are the alternate interior angles but only the first is an option.

2.

∠10 = ∠8+∠7 (corresponding angles so they are congruent)

∠10 is 140° and ∠8 is a right angle

140-90 = 50

∠7 = 50°

∠4 = 50° (∠7 and ∠4 are vertical angles so they are congruent)

3.

Sense all angles of a triangle add up to 180 and the ratio of angles is 3:3:6 the we can find the angle with the equation x+x+2x=180

Simplify.

4x=180

Solve by dividing 4 from both sides

x=45

so it is a 45, 45, 90 triangle. (right triangle because the 90 and icoceles because other 2 angles are congruent so option 5 is correct)

m∠J= 45°

m∠K= 45° (Option 1 is correct)

m∠L= 90° (Option 6 is correct)

4.

I honestly don't see how you can solve this without making assumptions so I will make assumptions.

Assuming the whole figure is symmetrical vertically ∠1 is congruent to the same spot on the right side of the shape. This angle would be supplementary to the angle of the angle outside of the shape adjacent on the right making the angle (which is corresponding, therefore congruent to ∠2) 133°.

8 0

2 years ago

Simplify the expression, 4/9z - 3/9z + 4 - 5/9z - 9 =