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3 years ago

Find the missing side. Round to the nearest tenth. For all 4 pics

Mathematics

1 answer:

Firlakuza [10]3 years ago

4 0

Answer:

1st pic) 17.8

2nd pic) 16.8

3rd pic) 9.1

4th pic) 13.5

Step-by-step explanation:

1st pic: $cos = \frac{adjacent}{hypothenuse}$

(write equation) Cos 27 (cos 27 = 0.89) = $\frac{x}{20}$

(new equation) 0. 89 = $\frac{x}{20}$

(multiply 20 on both sides) 0.89 x 20 = $\frac{x}{20}$ x 20

(solve) 17.8 = x

2nd pic: $tan = \frac{adjacentx}{hypothenuse}$

(write equation) tan 40 (tan 40 = 0.84) = $\frac{32}{x}$

(new equation) 0.84 = $\frac{32}{x}$

(multiply 32 on both sides) 0.84 x 20 = $\frac{32}{x}$ x 20

(solve) 16.8 = x

3rd pic: $cos = \frac{adjacent}{hypothenuse}$

(write equation) cos 55 (cos 55 = 0.57) = $\frac{16}{x}$

(new equation) 0.57 = $\frac{16}{x}$

(multiply 16 on both sides) 0.57 x 16 = $\frac{16}{x}$ x 16

(solve) 9.1 = x

4th pic: $tan = \frac{adjacentx}{hypothenuse}$

(write eqaution) tan 42 (tan 42 = 0.90) = $\frac{x}{15}$

(new equation) 0.90 = $\frac{x}{15}$

(multiply 15 on both sides) 0.90 x 15 = $\frac{x}{15}$ x 15

(solve) 13.5 = x

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From this graph we should determine two points so we can work out the slope. Let's take points (3, -4) and (6, -2).

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Let's substitute in our values:

m = $\frac{-2 - -4}{6 - 3}$

Remember that two negatives make a positive, let's solve for m:

m = $\frac{2}{3}$

Okay, now we have the value of m. Now we need the value of b. We can determine this by looking at the graph and looking where the line passes through the y-axis. In this graph, we can see the line pass through the y-axis at point (0, -6).

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3 years ago

At the candy shop, Ameenah sells chocolate covered raisins, c, for $1.50 per pound, and peanuts, p, for $1.20 per pound. Ameenah

insens350 [35]

Answer:

10 pounds of raisins and 10 pounds of peanuts.

Step-by-step explanation:

Let c represent the pounds of chocolate covered raisins.

Let p represent the pounds of peanuts.

We know that the raisins cost $1.50 per pound and the peanuts cost $1.20 per pound.

Ameenah wants to make 20 pounds of a mixture of the raisins and peanuts that sells for 1.35 a pound. So, we can write the following expression:

$1.5c+1.2p$

This represents the cost given c pounds of raisins and p pounds of peanuts.

Ameenah wants to combine c and p to make them 1.35 per pound. In other words, the expression must equal:

$1.5c+1.2p=1.35(c+p)$

We also know that she wants to make 20 pounds. So, c plus p must total 20. Therefore:

$c+p=20$

We now have the system of equations:

$\left\{ \begin{array}{ll} 1.5c+1.2p=1.35(c+p) \\ c+p=20\end{array}$

First, since we know that c+p is 20, we can substitute that into the first equation.

Second, let's subtract p from both side for the second equation to isolate a variable. So:

$c=20-p$

Let's now substitute this into the first equation:

$1.5(20-p)+1.2p=1.35(20)$

Distribute:

$30-1.5p+1.2p=27$

Combine like terms:

$-0.3p+30=27$

Subtract 30 from both sides:

$-0.3p=-3$

Divide both sides by -0.3. So, the amount of peanuts needed is:

$p=10$

10 pounds of peanuts is needed.

This means that 20-10 or 10 pounds of raisins is needed.

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