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3 years ago

Find the quotient.5 over 7 divided by 7 over 10

Mathematics

1 answer:

raketka [301]3 years ago

3 0

Answer:

$\frac{5}{7}\div \frac{7}{10}=\frac{50}{49}$

Step-by-step explanation:

$\frac{5}{7}\div \frac{7}{10}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$

$=\frac{5}{7}\times \frac{10}{7}$

$\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}$

$=\frac{5\times \:10}{7\times \:7}$

$\mathrm{Multiply\:the\:numbers:}\:5\times \:10=50$

$=\frac{50}{7\times \:7}$

$\mathrm{Multiply\:the\:numbers:}\:7\times \:7=49$

$=\frac{50}{49}$

Therefore,

$\frac{5}{7}\div \frac{7}{10}=\frac{50}{49}$

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Question 7

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Answer:

A. √16

Step-by-step explanation:

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From the options given, the only radical expression that has two perfect square is √16.

√16 consists of two perfect squares, which are 4 and 4.

4 can be expressed as 2 × 2.

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3 years ago

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3 years ago

Consider it this cone with a diameter of 19 cm use the drop-down menus to describe the con measurements

MAVERICK [17]

Answer:

1) Radius of the cone = 9.5 cm

2) BA = 90.25 π cm²

3) SA = 384.7 π cm²

Step-by-step explanation:

1) Radius of the cone = 9.5 cm

2) Base Area of the cone = $\pi r^2$

BA = (π)(9.5)²

BA = 90.25 π cm²

3) Surface Area of Cone = $\pi r(r+\sqrt{h^2+r^2)}$

SA = π(9.5)(9.5 + √(29.5)²+(9.5)²)

SA = 9.5π(9.5 + 31)

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4 years ago

Richard simplified an expression in three steps, as shown:

soldi70 [24.7K]

Answer:

Step 2 because Richard multiply the powers of same base in denominator instead adding powers of same base.

Step-by-step explanation:

We are given that Richard simplified an expression in threes steps

We have to find the incorrect step in simplification of Richard

Step 1: all the exponent are multiplied by 3

$\frac{x^{-4}y^2}{yx^2\cdot x^2y^{-4}}^{3}=\frac{x^{-12}y^6}{y^3x^6\cdot x^6y^{-12}}$

Step 2:The exponents in the denominator are multiplied

$\frac{x^{-12}y^6}{y^3x^6\cdot x^6 y^{-12}}=\frac{x^{-12}y^6}{x^{12}y^{-9}}$

Step 3:The exponents of the same base are subtracted during division

$\frac{x^{-12}y^6}{x^{12}y^{-9}}=x^{-12-12}y^{6+9}$

$=x^{-24}y^{15}$

Richard makes mistake in step 2 when we multiply then power of same base should be added but Richard multiply the powers of same base in denominator.

4 0

4 years ago

Maria skates 40 feet due south in a skating rink. Then she skates 60 feet due east. Maria then skates diagonally across the ring

Viktor [21]

Answer:

172 ft

Step-by-step explanation:

Due south and due east form a 90-degree angle.

Her path is a right triangle. The 60 ft and 40 ft distances are the legs of the right triangle. We can use the Pythagorean theorem to find the hypotenuse. Then we add the lengths of the three sides to find the total distance she traveled which is the perimeter of the right triangle.

a^2 + b^2 = c^2

(40 ft)^2 + (60 ft)^2 = c^2

1600 ft^2 + 3600 ft^2 = c^2

c^2 = 5200 ft^2

c = 72 ft

perimeter = a + b + c = 40 ft + 60 ft + 72 ft = 172 ft

3 0

3 years ago

Read 2 more answers