All categories

3 years ago

Approximate the unknown side x in the diagram. A. 3.356 B. 5.222 C. 3.064 D. 4.737

Mathematics

2 answers:

Marianna [84]3 years ago

5 0

Answer:

The answer to your question is x = 3.356 cm

Step-by-step explanation:

This is a right triangle so we can use the Trigonometric functions to solve this problem.

Data

Ф = 40°

Adjacent side = 4 cm

Opposite side = x

Process

1.- We must know the lenght of the opposite side so we must use the tangent to solve it.

tangent Ф = $\frac{Opposite side}{Adjacent side}$

2.- Solve it for Opposite side

Opposite side = tanФ x Adjacent side

Opposite side = tan 40° x 4

Opposite side = 0.839 x 4

Opposite side = 3.356

Opposite side = x = 3.356 cm

Gelneren [198K]3 years ago

4 0

Answer:

= 3.356 cm

Step-by-step explanation:

i know because i took the test an got an 80

1. 9.46

2. given

3. i didn't get it right but it is NOT 20.47

4. 51.1

5. 38.7

some test are different an may ask different question but this is what i got hope it helps make this year count

You might be interested in

Help? 2+2-8+6-2+9+5-6+6-3+8-1+7-0+8-1+10-2+11+

SOVA2 [1]

Answer:

Step-by-step explanation:

2+2 = 4

4 - 8 = -4

-4 + 6 = 2

2 - 2 = 0

0 + 9 = 9

9 + 5 = 14

14 - 6 = 8

8 + 6 = 14

14 - 3 = 11

11 + 8 = 19

19 - 1 = 18

18 + 7 = 25

25 - 0 = 25

25 + 8 = 33

33 - 1 = 32

32 + 10 = 42

42 - 2 = 40

40 + 11 = 51

6 0

4 years ago

The access code for a car’s security system consists of five digits. The first digit cannot be zero. How many different codes ar

Leviafan [203]

Answer:

45,000 different codes

4 0

4 years ago

Simplify the expression using trigonometric identities (csc θ – csc θ · cos^2 θ).

Sedbober [7]

Answer:

Solution given:

cscθ -cscθcos²θ

taking common

cscθ(1-cos²θ)

we have

1-cos²θ=sin²θ and cscθ=1/sinθ

now

1/sinθ*sin²θ

=sinθ

sin θ is a required answer.

8 0

3 years ago

Read 2 more answers

Given the function how do I solve

BARSIC [14]

Answer: (a) -7 (b) $\bold{\dfrac{4}{25}}$ (c) $\bold{-\dfrac{5}{2}}$ (d) 4

Step-by-step explanation:

A) f(x) = 2x - 3 when x is between -5 and -2 (including -5 and -2)

B) f(x) = x² when x is between -2 and 2 (including 2)

C) $f(x)=-\dfrac{3}{2}x+\dfrac{7}{2}$ when x is between 2 and 5 (including 5)

a) Equation A includes x = -2

f(x) = 2x - 3

f(-2) = 2(-2) - 3

= -4 - 3

= -7

b) Equation B includes x = $-\dfrac{2}{5}$

f(x) = x²

$f\bigg(-\dfrac{2}{5}\bigg) = \bigg(-\dfrac{2}{5}\bigg)^2$

$=\dfrac{4}{25}$

c) Equation C includes x = 4

$f(x)=-\dfrac{3}{2}x+\dfrac{7}{2}$

$f(4)=-\dfrac{3}{2}(4)+\dfrac{7}{2}$

$=-\dfrac{12}{2}+\dfrac{7}{2}$

$=-\dfrac{5}{2}$

d) Try each equation to see if x falls within the values given.

A) f(x) = 2x - 3

-2.5 = 2x - 3

0.5 = 2x

0.25 = x NOT VALID since x should be between -5 and -2

B) f(x) = x²

-2.5 = x²

$\sqrt{-2.5}=x$ NOT VALID since x cannot be an imaginary number

C) $f(x)=-\dfrac{3}{2}x+\dfrac{7}{2}$

$-\dfrac{5}{2}=-\dfrac{3}{2}x+\dfrac{7}{2}$

$-\dfrac{12}{2}=-\dfrac{3}{2}x$

$-\dfrac{12}{2}\bigg(\dfrac{2}{3}\bigg)=x$

$4 = x$ VALID since x is between 2 and 5

5 0

4 years ago

A researcher plans to conduct an experiment to test whether a cup of hot milk at night helps people fall asleep faster than usua

Kitty [74]

Answer:

A cup of hot milk

Step-by-step explanation:

to be able to identify what is an independent or a dependent variable, one must understand the meaning. an independent variable is referred to as something/factors that the researcher can change or what changes on its own. while, dependent variable is what changes as a result of changes in the independent variable. in this situation, the dependent variable is the time it takes for fall asleep.

6 0

3 years ago