Explanation

Acute angles measure less than 90 degrees.

Additional information:

Right angles measure 90 degrees.

Obtuse angles measure more than 90 degrees.

Last verified on 13-03-2026

Explanation

Explanation

• Sublimation is the transition of a substance from the solid to the gas phase without going through the liquid phase.
• Glucose and Sodium Chloride do not sublime, as they require a liquid phase transition before turning into a gas.

Here are the some solid sublime material:

• Iodine
• Camphor or Dry ice

Explanation

The angle sum of a triangle will always be equal to 180°.

The angle sum of a quadrilateral is equal to 360°

And a triangle can be created by slicing a quadrilateral in half from corner to corner. Since a triangle is essentially half of a quadrilateral

Its angle measures should be half as well. Half of 360° is 180°

Explanation

V = π × r² × L  

= π × 3² × 10  

= π × 9 × 10 = 90π cm³

Explanation

Explanation

This is an arithmetic sequence with:

• First term $a=1$

• Common difference $d=4-1=3$

General formula for the
$n$th term of an arithmetic sequence:

$$T_n = a + (n - 1)d$$

We need the 101st term:

$$$$
T_{101} = 1 + (101 - 1) times 3 = 1 + 100 times 3 = 1 + 300 = boxed{301}

Explanation

• Total amount = 129,000

• People involved:

  • 5 sons → each gets 5x

  • 4 daughters → each gets 4x

  • 3 nephews → each gets x

Let the amount each nephew gets be x

Now express the total amount in terms of x:

• Nephews: $3x$
  

• Daughters: $4\times 4x=16x$

• Sons: $\mathrm{<br>}$

• Total = $3x+16x+25x=44x$

Set up the equation:

$$44x = 129000 Rightarrow x = frac{129000}{44} = ₹2931.82overline{72}$$44​=2931.8272

Explanation

• Black part = 1​/8 of the total length

• White part = 1​ /4of the total length

• Grey part = 5.25 cm

• Total length =?

Let total length be $x$ cm.

Then:

$$text{Black} = frac{1}{8}x, quad text{White} = frac{1}{4}x, quad text{Grey} = 5.25 , text{cm}$$

Add them all:

1/8​x+1​/4x+5.25=x

Convert $frac{1}{4}x$ to same denominator:

$$frac{1}{8}x + frac{2}{8}x + 5.25 = x Rightarrow frac{3}{8}x + 5.25 = x$$

Now solve:

x−3/8​x=5.25⇒5/8​x=5.25

Multiply both sides by 8:

5x=42⇒x=42​/5=8.4cm

Explanation

Given:

• Radius of the circle$r=4$ meters

• Arc length (distance along the circumference), $s=14$ meters

We are to find the displacement, which is the straight-line distance between the starting and ending points of the arc.

Step 1: Find the angle subtended by the arc at the center (θ in radians):

$$theta = frac{s}{r} = frac{14}{4} = 3.5 , text{radians}$$

Step 2: Use the chord length formula to find displacement:

Displacement=2rsin(θ/2​)
=2×4×sin(3.5/2​)=8×sin(1.75)
sin(1.75radians)≈0.983
$$\text{Displacement}\approx 8\times 0.983\approx 7.864\text{meters}$$