Convert the following common fractions to decimals. round to three decimal places if necessary. you may use a calculator.3/5 =

Helppp look at photo will mark brainliest

liberstina [14]

Answer:

C) 12.5

The length of BC = 12.5cm

Step-by-step explanation:

Step(i):-

Given that ΔABC

Given that AB = 15cm and ∠A = 40°

we will use trigonometric function

$tan x = \frac{oppositeside}{adjacentside}$

$tan 40^{0} = \frac{BC}{AB} = \frac{BC}{15}$

Step(ii):-

we know that tan40° = 0.83909

$tan 40^{0} = \frac{BC}{15}$

BC = 15 × tan 40°

BC = 12.58649

BC = 12.5cm

Final answer:-

The length of BC = 12.5cm

5 0

3 years ago

It is always helpful to rewrite a quadratic equation in standard form as a first step in solving it.

kotykmax [81]

THE ANSWER IS (B) true

5 0

2 years ago

Read 2 more answers

HELP ME Write and solve a proportion to find y.

Phoenix [80]

Given:

A figure of dilation and the center of dilation is O.

To find:

The value of y.

Solution:

The distance between center and vertex of image (d') is proportional to the distance between center and the corresponding vertex of original figure (d).

$d'\propto d$

$d'=kd$

$\dfrac{d'}{d}=k$

Where, k is the scale factor or constant of proportionality.

So, the scale factor for the given dilation is

$k=\dfrac{OB'}{OB}$

$k=\dfrac{36}{16}$

$k=\dfrac{9}{4}$

We know that,

$k=\dfrac{\text{Side length of image}}{\text{Corresponding side length of original figure}}$

$\dfrac{9}{4}=\dfrac{A'C'}{AC}$

$\dfrac{9}{4}=\dfrac{27}{y}$

$9\times y=27\times 4$

Divide both sides by 9.

$y=\dfrac{27\times 4}{9}$

$y=3\times 4$

$y=12$

Therefore, the value of y is 12.

6 0

3 years ago

Analyze the following categorical proposition by doing the following: (1) Identify the subject and predicate of each proposition

spayn [35]

Answer:

(1) Subject term: Bats and Predicate term: Mammals.

(2) A- Proposition

Step-by-step explanation:

Categorical proposition is a tool of deductive reasoning that involves two classes of objects. Coined by Ancient Greeks, categorical proposition asserts or denies whether one group contain all or some of the members of another group.

In the standard form of categorical proposition, the subject term comes first an the predicate term comes second. Hence, for the given sentence

"All bats are mammals"

The subject term is "bats" and the predicate term is "mammals". Furthermore, it is stated that all bats belong to the category of mammals. Thus, it is an example of proposition A(All S are P).

7 0

4 years ago

6. A cylindrical oatmeal canister has a diameter of 4 inches and a hight of 10 inches. The manufac-

Arlecino [84]

B. 8 inches, hope this was right and helped:)

6 0

3 years ago