Step-by-step explanation: He wants to make 4 portions, 4 is one fourth of 16. Therefore if you multiply all the ingredients by one fourth you will get the amounts required for the new recipe.

8 0

3 years ago

two towers labeled Tower A and Tower B some distance apart and a fire image at a certain distance from both towers Towers A and

astra-53 [7]

Answer:

7.0 mi

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$A+B+C=180^o$

substitute the given values

$42^o+64^o+C=180^o\\C=180^o-106^o=74^o$

step 2

Find the measure of a

Applying the law of sines

$\frac{c}{sin(C)}=\frac{a}{sin(A)}$

substitute the given values

$\frac{10}{sin(74^o)}=\frac{a}{sin(42^o)}$

solve for a

$a=\frac{10}{sin(74^o)}sin(42^o)\\a=7.0\ mi$

8 0

3 years ago

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