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2 years ago

Conver Mixed Number to an Improper Fraction 15 and 7/10

Mathematics

2 answers:

jeka942 years ago

7 0

Answer:

$\frac{157}{10}$

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

10 × 15 = 150

Step 2

Add the answer from Step 1 to the numerator

150 + 7 = 157

Step 3

Write answer from Step 2 over the denominator $\frac{157}{10}$

Readme [11.4K]2 years ago

4 0

Answer:157/10

Step-by-step explanation:

Make 15 into an improper fraction (every number is a fraction over 1) so multiply the numerator(15) and the denominator(1) by 10 to get 150/10 then add 150/10 to 7/10 to get 157/10

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Calculate the side lengths a and b to two decimal places.

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Answer:

$a=10.92 units$

$b=14.51 units$

Step-by-step explanation:

We are given that c=6 units

$\angle A=43^{\circ}$

$\angle B=115^{\circ}$

We have to find the side length a and b.

We know that sum of angles of a triangle =180 degrees

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Substitute the values then we get

$43+115+\angle C=180$

$158+\angle C=180$

$\angle C=180-158=22^{\circ}$

sine law: $\frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}$

$\frac{a}{sin 43^{\circ}}=\frac{6}{sin 22^{\circ}}$

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$\frac{b}{sin 115^{\circ}}=\frac{6}{sin 22^{\circ}}$

$b=\frac{6}{sin 22^{\circ}}\times sin 115^{\circ}=14.51$

$b=14.51 units$

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