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Zinaida [17]
3 years ago
6

In triangle ABC, a = 4, b = 6, and cos C = − 1/4. What is the length of side c?

Mathematics
1 answer:
shusha [124]3 years ago
7 0

The length of side c would be 8.

Step-by-step explanation:

Given that,

a = 4

b = 6

cosC = -1/4

If we are given two sides and angle, the law of Cosines can be used to find the third side:

c^{2} = a^{2} + b^{2} - 2ab (cos(c))

By inserting the values in the formula, we get

c^{2} = 4^{2} + 6^{2} - 2.4.6 (-\frac{1}{4} )

c^{2} = 16 + 36 + 12

c^{2} = 64

\sqrt{c^{2} } = \sqrt{64}

c = 8.

Therefore, the length of side c would be 8.

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3(1)+2(_)=6<br><br> plz help on filling in the blank
TEA [102]

Answer:

x = 3/2

Step-by-step explanation:

Let's solve your equation step-by-step.

(3)(1)+2x=6

Step 1: Simplify both sides of the equation.

(3)(1)+2x=6

3+2x=6

2x+3=6

Step 2: Subtract 3 from both sides.

2x+3−3=6−3

2x=3

Step 3: Divide both sides by 2.

2x/2  3/2

x = 3/2

Hope this helps :)

7 0
3 years ago
Which equation is a linear function?
Sonja [21]

Answer:

the equation in letter D is a linear function.

6 0
3 years ago
5 of 5
dexar [7]

Answer:

Number of people that can be served 7 ladles = 100 people

Step-by-step explanation:

We are told that;

Initial number of ladles proposed per person = 5

Number of persons to be fed based on 5 ladles = 140 persons

Thus, amount of ladles based on that data is;

140 people x 5 ladle/1 person = 700 ladles full of soup

Now, since the cook decides to give 7 ladles full of soup to each person, the number of people that can be fed will now be;

700 ladles ÷ 7 ladles/person = 100 persons

6 0
3 years ago
6. For a particular pickup truck, the percent markup is known to be 115% based on cost to the seller. If the seller paid $15,800
Neko [114]

Answer:

  • <u>53.5 %</u>

Explanation:

You can convert the percent markup into a multiplicative factor in this way:

Base price:                     15,800 . . . (cost to the seller)

Percent mark up:           115% . . .  (based on the cost to the seller)

Sale price:                      15,800 + 115% of x = 15,800 + 115 × 15,800 /100 =

                                        = 15,800 + 1.15 × 15,800 = 15,800 (2.15) = 33,970

The markup is:

  • Markup = price paid by the seller - cost to the seller = 33,970 - 15,800   = 18,170 (notice that this is 115% of 15,800)

And <em>the percent markup based on the sale price is</em>:

  • % = (markup / sale price) × 100 = (18,700 / 33,970) × 100 =

            = 53.49 %

Rounding to the nearest tenth percent that is 53.5 %.

4 0
3 years ago
Geoff earns 10% commission on his total sales at work..To pay for a concert ticket, Geoff needs to earn $135 in commission. What
statuscvo [17]

Answer:

$1350

Step-by-step explanation:

Percentage commision earned = 10%

Amount needed to pay for concert = $135

Hence, total sales for the week must be :

Let total sales = x

10% of total sales = $135

10/ 100 * x = $135

0.1x = $135

x = $135 / 0.1

x = $1350

6 0
3 years ago
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