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2 years ago

In ΔBCD, the measure of ∠D=90°, CB = 37, BD = 12, and DC = 35. What is the value of the sine of ∠B to the nearest hundredth?

Mathematics

2 answers:

PilotLPTM [1.2K]2 years ago

3 0

Answer:

$Sine \ B\approx 0.95$

Step-by-step explanation:

-We use the Law of Sines to find the Sine of ∠B.

-We notice that ∠B corresponds to length DC=35.

#We therefore calculate the Sine of ∠B as follows:

$\frac{a}{Sin \ A}=\frac{b}{Sin \ B}\\\\\frac{37}{Sin \ 90\textdegree}=\frac{35}{Sin \ B}\\\\=>Sin \ 90\textdegree=1\\\\\therefore Sin \ B=\frac{35}{37}\\\\=0.9459\approx0.95$

Hence, the Sine of ∠B is approximately 0.95

nasty-shy [4]2 years ago

3 0

Answer: or it’s 0.34

Step-by-step explanation:

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ehidna [41]

Answer:

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Step-by-step explanation:

The volume V of the fountain is equal to:

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We already know that h is equal to x. On the other hand, if we cut a square with side of length x, L and W are calculated as:

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mixas84 [53]

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2 years ago

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A store sells a 33-pound bag of oranges for \$ 3.60$3.60 and a 55-pound bag of oranges for \$ 5.25$5.25. What is the difference

katrin [286]

Answer:

0.01364

Step-by-step explanation:

It is given that,

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Price per pound of 33 pound bag is 3.60/33 = 0.10909 price per pound

Price per pound of 55 pound bag of oranges is 5.25/55 = 0.09545 price per pound

Difference between price per pound for the 33-pound bag of oranges and the price per pound for the 55-pound bag of oranges is :

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2 years ago

Rammy has $9.60 to spend on some peaches and a gallon of milk. Peaches

sergeinik [125]

Answer:

$\large \boxed{\text{5.00 lb}}$

Step-by-step explanation:

$\begin{array}{rcl}1.20x + 3.60 & \leq & 9.60\\1.20x & \leq & 6.00\\x &\leq & \mathbf{5.00}\\\end{array}\\\text{Rammy can buy $\large \boxed{\textbf{5.00 lb}}$ of peaches.}$

Check:

$\begin{array}{rcl}1.20(5.00) + 3.60 & \leq & 9.60\\6.00 + 3.60 & \leq & 9.60\\9.60 & \leq & 9.60\\\end{array}$

OK.

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2 years ago

Suppose we want to choose 2 colors without replacement from the 3 colors

Rzqust [24]

Question:

Suppose we want to choose 3 colors, without replacement, from the red, blue, green, and purple.

(a)How many ways can this be done, if the order of the choices is taken into consideration?

(b)How many ways can this be done, if the order of the choices is not taken into consideration?

Answer:

(a) 6 choices

(b) 3 Choices

Step-by-step explanation:

Given:

3 Colors

Order of choice : Red, Blue, Green

(a) Order of the choices taken into consideration :

When we are picking the first colour there are 3 color choice.

When we are picking second colour there are 2 choice and so on.

Therefore, total choices are = 3*2 = 6 choices

(b) Order of the choices not taken into consideration :

When to take this option we choose as $3 \times 2$ and the remove the duplicates

Therefore, choices are = $\frac{(3 \times 2)}{(1 \times 2)}$ = $\frac{6}{2}$ = 3 Choices

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