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3 years ago

State whether the given measurements determine zero, one, or two triangles.

1 answer:

5 0

The Cosine Law:
c² = a² + b² - 2 a b cos C
14² = 28² + b² - 56 · b · √3/2
196 = 784 + b² - 28√3 b
b² - 28√3 b + 588 = 0
b 1/2 = (28√3 +/- √(2352 - 2352 )) / 2 = 28√3 / 2 = 14√3
Answer:
The given measurements determine one triangle.

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The Jackson family went out to dinner

vovikov84 [41]

Answer: Amount that the Smith family need to pay for the meal including tax and tip = 53.47.

Step-by-step explanation:

Since we have given that

Price of the meal = 43.45

Rate of sales tax = 7%

Amount becomes after the sales tax is given by

$\frac{7}{100}\times 43.45\\\\\frac{304.15}{100}\\\\=3.0415\\\\\text{Amount}=43.45+3.0415=46.4915$

Rate of tips over meal and sales = 15%

Amount of tips is given by

$\frac{15}{100}\times 46.4915\\\\=0.15\times 46.4915\\\\=6.974$

So, Amount becomes

$46.4915+6.974\\\\=53.465\\\\=53.47$

Hence, Amount that the Smith family need to pay for the meal including tax and tip = 53.47.

3 0

2 years ago

Parvinis older than Jan, who is

MatroZZZ [7]

Using the arrangements formula, it is found that there are 24 ways for them to stand in line so that the youngest person is always first, and the oldest person is always last.

<h3>What is the arrangements formula?</h3>

The number of possible arrangements of n elements is given by the factorial of n, that is:

$A_n = n!$

In this problem, we have that there are 6 people. The youngest person(Leslie) has to be first, while the oldest(Parvinis) has to be last, while the remaining 4 can be arranged, hence the number of ways for them to stand in line is given by:

$A_4 = 4! = 24$

More can be learned about the arrangements formula at brainly.com/question/24648661

#SPJ1

8 0

1 year ago

At a book sale, all books cost less than $5.

Arada [10]

Answer: b<5

Step-by-step explanation:

B Represnts the books and 5 is the 5 dollars so then 5 is greater than b and since 5 dollars is greater than the books price then you should be b<5.

this should be right.

Hoped this helped

6 0

2 years ago

Write the expression 12 × 42 in words.

liq [111]

First you rewrite the multiplication problem up and down and then you multiply 2 x2 then 2 x1 then drop a zero then multiply 4 x2 then 4 x 1 and then add it together and get your answer which is 504

3 0

2 years ago

Read 2 more answers

Solve the inequality for V.<br><br> -8.3 _>_ V - 1.9

Arada [10]

First keep in mind that the given value is negative and that it is greater than or equal to whatever '<em>v</em>' is.

$-8.3 \geq v - 1.9$

When solving for a variable in any equation, you do something to both sides in order to keep it equal. Here, <em>v</em> is being subtracted by 1.9; therefore we can add 1.9 to both sides in order to isolate <em />the variable.

$-8.3 + 1.9 \geq v - 1.9 + 1.9$
$-6.4 \geq v$

Despite not needing a value for the question, it is worth noting that since this is an inequality, <em>v </em>can be any value from -6.4 to ∞ in order to make it true.

6 0

2 years ago