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3 years ago

What is the lcd of 1/3 and 3/7Help rn

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

3 0

Answer:

The least common denominator is 21.

Step-by-step explanation:

First, you must find the least common factor of the two:

3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70

Second, you must increase the fractions:

$\frac{1}{3}$ × $\frac{7}{7}$ = $\frac{7}{21}$ $\frac{3}{7}$ × $\frac{3}{3}$ = $\frac{9}{21}$

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A soup bowl is in the shape of a hemisphere with a diameter of 10 cm. What is the approximate maximum volume of soup that the bo

Oduvanchick [21]

Answer:

3.48cm³ (approximated)

Step-by-step explanation:

The maximum water that bowl can hold = The volume of the bowl

$\boxed{ \mathsf{volume \: of \: bowl = \frac{2}{3} \times \pi \: r {}^{3} }}$

Radius is half of diameter.

Given -

Diameter = 10cm .

From the given data we can derive that the radius of the hemispherical bowl is 5cm (10/2)

Putting the known values into the formula to get the value of the volume of bowl :

$\mathsf{volume = \frac{2}{3} \times \: 3.14 \: \times {5}^{3} }$

= 3.48888cm³

= 3.48cm³

5 0

3 years ago

Ethan is responsible to write the minutes for the meeting. During the meeting, he finished writing of the minutes. Before gettin

dolphi86 [110]

11/24
1. 3/8 = 9/24
2. 1/6 = 4/24
3. 9/24 + 4/24 = 13/24
4. 1- 13/24 = 11/24

And that’s if! Hoped this helped :)
These are all the correct steps to get the answer to this problem

7 0

3 years ago

In circle D, angle ADC measures (7x + 2)°. Arc AC

Akimi4 [234]

Answer:

The measure of angle ABC is 36° ⇒ 1st answer

Step-by-step explanation:

Let us revise some important facts in the circle

The measure of the center angle is equal to the measure of its subtended arc

The measure of the inscribed angle is equal to half the measure of the central angle subtended by the same arc

The vertex of a central angle is the center of the circle and its sides are radii in the circle

The vertex of an inscribed angle is a point on the circle, and its sides are chords in the circle

In circle D

∵ D is the center of the circle

∵ A and C lie on the circle

- DA and DC are radii

∴ ∠ADC is a central angle subtended by arc AC

∴ m∠ADC = m of arc AC

∵ m∠ADC = (7x + 2)°

∵ m of arc AC = (8x - 8)°

- Equate them to find x

∴ 8x - 8 = 7x + 2

- subtract 7x from both sides

∴ x - 8 = 2

- Add 8 to both sides

∴ x = 10

Substitute the value of x in the measure of ∠ADC

∵ m∠ADC = 7(10) + 2 = 70 + 2

∴ m∠ADC = 72°

∵ AB and BC are two chords in circle D

∴ ∠ABC is an inscribed angle subtended by arc AC

∵ ∠ADC is a central angle subtended by arc AC

- By using the 2nd fact above

∴ m∠ABC = m∠ADC

∴ m∠ABC = × 72

∴ m∠ABC = 36°

7 0

3 years ago

What is the solution to the inequality below x2>25

4vir4ik [10]

Answer:

Ans: (-5, 5)

-5 < x < 5

Step-by-step explanation:

Standard form: f(x) = x^2 - 25 < 0.

First solve x^2 - 25 = 0 --> x = +- 5

Use the algebraic method to solve f(x) < 0. Between the 2 real roots (-5) and (5), f(x) < 0, as opposite in sign to a = 1.

Answer by open interval: (-5, 5)

3 0

3 years ago

Read 2 more answers

Which of the following equations is the result after the first step in solving 3x + 6 = 12?

tensa zangetsu [6.8K]

3x=18 because you add the like terms 6 and 12

7 0

3 years ago

What is the lcd of 1/3 and 3/7Help rn​

What is the lcd of 1/3 and 3/7Help rn