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3 years ago

Find the measure of the following angles. m < LPM: m m HELP ASAP‼️

Mathematics

2 answers:

Elena-2011 [213]3 years ago

8 0

Answer:

kpl- 90°

jpk-52°

npm-142°

lpm-38°

Step-by-step explanation:

Margaret [11]3 years ago

8 0

Answer:

m < LPM = 38 degrees

Step-by-step explanation:

For this, you need to use the lines given!

JPN = 38 degrees

Therefore LPM = 38 degrees since it is equal!

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A solid right circular cone of diameter 14cm and height 8cm is melted to form a hollow sphere. If the external diameter of the s

Pani-rosa [81]

Answer:

The internal diameter of the sphere is 6 cm.

Step-by-step explanation:

Given that, a solid right circular cone of diameter 14 cm and height 8 cm.

The radius of the cone is $=\frac{diameter}{2}$

$=\frac{14}{2} \ cm$

= 7 cm.

The volume of the cone is $= \frac13 \pi r^2 h$

$=(\frac1 3\times \pi \times 7^2\times 8) \ cm^3$

$=\frac{392}{3}\pi \ cm^3$

Let the internal radius of the sphere be r.

The external diameter of the sphere is = 10 cm

The external radius of the sphere is(R) = 5 cm

The volume of the sphere is $= \frac43 \pi(R^3-r^3)$

$=\frac43 \pi (5^3-r^3) \ cm^3$

The sphere is formed by the solid right circular cone.

∴The volume of the sphere = The volume of the cone

According to the problem,

$\frac43 \pi (5^3-r^3) =\frac{392}{3}\pi$

$\Rightarrow 4(5^3-r^3)= 392$

$\Rightarrow 5^3-r^3=\frac{392}{4}$

$\Rightarrow 5^3-r^3=98$

$\Rightarrow -r^3=98-125$

$\Rightarrow-r^3= -27$

⇒r= 3

The internal radius of the sphere is = 3 cm.

The internal diameter of the given sphere is = (2×3) cm =6 cm.

7 0

4 years ago

There are 12 red and blue pencils on a desk.There are twice as many red pencils as blue pencils.How many read pencils are there

Mrac [35]

r+b =12

r =2b (twice as many red as blue)

substitute r = 2b into r+b=12

2b + b = 12

3b =12

divide by 3

b=4

r = 2b

r=2(4)

r=8

There are 4 blue pencils and 8 red pencils

3 0

3 years ago

Read 2 more answers

Help me plzzzz<br><br> (x+1)^2 -3(x+2)<br><br> If you could give an explanation that would be great!

Margarita [4]

Answer:

x^2-x-5

Step-by-step explanation:

1. expand the square

(+1)(+1)−3(+2)

2. distribute

(+1)+1(+1)−3(+2)

3. distribute

^2++1(+1)−3(+2)

4. multiply by 1

^2+++1−3(+2)

5. combine like terms

^2+2+1−3(+2)

6. distribute

^2+2+1−3−6

7. subtract the numbers

^2+2−5−3

8. combine like terms

^2−−5

9. gg you are done

^2−−5

4 0

3 years ago

Drag the correct steps into order to solve the equation 6x+6=−12 for x.

Fantom [35]

You need to substitute x with a #

6 (-3)+6=-12

7 0

3 years ago

Read 2 more answers

Please give a good explanation and show your work as well

Vadim26 [7]

Answer:

A) down

B) x intercept (5, 0)

y intercept (0, 80)

C) 144 ft

Step-by-step explanation:

y = Ax² + Bx + C

y = -16x² + 64x + 80

Parabola opens down because A is negative

x intercept (5, 0)

x = (-64 ±√(64² - 4(-16)(80))) / (2(-16))

x = -1 which means if the profile is continuous, the balloon launched one hour ago.

x = 5 which means the balloon will be on the ground in 5 hours.

(assuming level ground or no wind at all.

y intercept

y = -16(0)² + 64(0) + 80

y = 80 ft

meaning the balloon is already 80 feet above the ground when we start looking at t = 0

Maximum altitude will occur when the vertical velocity is zero. Velocity is the derivative of position.

x' = -32x + 64

0 = -32x + 64

32x = 64

x = 2 hrs

y = -16(2)² + 64(2) + 80

y = 144 ft

4 0

3 years ago