Please help me solve this

Mathematics

1 answer:

seropon [69]3 years ago

5 0

9514 1404 393

Answer:

103°

Step-by-step explanation:

The law of sines tells you ...

sin(C)/c = sin(A)/a

sin(C) = (c/a)sin(A)

C = arcsin(c/a·sin(A)) = arcsin(37/19·sin(30°)) ≈ 180° -76.8° ≈ 103°

Obtuse angle C is about 103°.

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alex41 [277]

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8 0

3 years ago

This is the question I am gonna write it here pls help Yum-Yum restaurant has just increased the wages they pay their employees.

stich3 [128]

Answer:

8.95

Step-by-step explanation:

Convert 12% into a decimal by dividing 12 by 100 to get 0.12. To find 12% of 7.99, multiply it by 0.12. However, since we want to know the total cost of the meal after the markup, an eaiser way is to multiply 7.99 x 1.12 (the 1 represents the original price of meal, since we are adding on to it). This is the more effective way to solve this, but another way would just be to take the result of 7.99 x 0.12 and add it to 7.99.

Note that the actual answer is 8.9488, but I rounded to the nearest hundreth.

5 0

3 years ago

PLEASE HELP!!! WILL GIVE BRANLIEST

Rus_ich [418]

Check the picture below, so the hyperbola looks more or less like that.

based on the provided vertices, its center is at the origin, as you see there, the "a" component or traverse axis is 4, the "c" distance is 5.

$\bf \textit{hyperbolas, vertical traverse axis }
\\\\
\cfrac{(y- k)^2}{ a^2}-\cfrac{(x- h)^2}{ b^2}=1
\qquad 
\begin{cases}
center\ ( h, k)\\
vertices\ ( h, k\pm a)\\
c=\textit{distance from}\\
\qquad \textit{center to foci}\\
\qquad \sqrt{ a ^2 + b ^2}
\end{cases}\\\\
-------------------------------$

$\bf \begin{cases}
h=0\\
k=0\\
c=5\\
a=4
\end{cases}\implies \cfrac{(y-0)^2}{4^2}-\cfrac{(x-0)^2}{b^2}=1
\\\\\\
\stackrel{c}{5}=\sqrt{4^2+b^2}\implies 5^2=16+b^2\implies 25=16+b^2
\\\\\\
9=b^2\implies \sqrt{9}=b\implies \boxed{3=b}
\\\\\\
\cfrac{(y-0)^2}{4^2}-\cfrac{(x-0)^2}{3^2}=1\implies \cfrac{y^2}{16}-\cfrac{x^2}{9}=1$