1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
VLD [36.1K]
1 year ago
13

What is tan 45°? 1 45° 90° A. 1/2 B. 1 C. 1/√2 D. √2 √₂ 2 45°​

Mathematics
1 answer:
polet [3.4K]1 year ago
5 0

Answer:

1

Step-by-step explanation:

tan 45 = cos 45 / sin 45.

Since sin(x)=cos(90-x), cos 45 = sin 45, so tan 45 = 1

You might be interested in
Since BC is parallel to DE, triangles ABC and ADE are similar. What are the lengths of the unknown sides?
NikAS [45]

Answer:

C

Step-by-step explanation:

Step 1: find BC

Given Triangles ABC and ADE are similar,

\frac{AB}{AD} = \frac{BC}{DE}

BC = \frac{AB}{AD} x DE

= \frac{8}{8 + 4} x 9

= 6 cm

Step 2: use Pythagorean theorem to find AC and / or AE

Consider triangle ABC,

by Pythagorean theorem,

AB² + BC² = AC²

AC² = 6² + 8² = 100

AC = √100 = 10 (answer... we can see that C is the only one with AC=10.

Step 3: Verify.. even though we know that it is C because AC  = 10,  you can verify that the ansewer is correct by finding CE and confirming that CE=5

By using similar triangles ABC and ADE,

AC/AE = AB / AD

AE = AD/AB x AC = 12/8 x 10 = 15

CE = AE - AC = 15 - 10 = 5 (answer confirmed)

5 0
2 years ago
If X²⁰¹³ + 1/X²⁰¹³ = 2, then find the value of X²⁰²² + 1/X²⁰²² = ?​
enyata [817]

Step-by-step explanation:

\bf➤ \underline{Given-} \\

\sf{x^{2013} + \frac{1}{x^{2013}} = 2}\\

\bf➤ \underline{To\: find-} \\

\sf {the\: value \: of \: x^{2022} + \frac{1}{x^{2022}}= ?}\\

\bf ➤\underline{Solution-} \\

<u>Let us assume that:</u>

\rm: \longmapsto u =  {x}^{2013}

<u>Therefore, the equation becomes:</u>

\rm: \longmapsto u +  \dfrac{1}{u}  = 2

\rm: \longmapsto \dfrac{  {u}^{2} + 1}{u}  = 2

\rm: \longmapsto{u}^{2} + 1 = 2u

\rm: \longmapsto{u}^{2} - 2u + 1 =0

\rm: \longmapsto  {(u - 1)}^{2} =0

\rm: \longmapsto u = 1

<u>Now substitute the value of u. We get:</u>

\rm: \longmapsto {x}^{2013}  = 1

\rm: \longmapsto x = 1

<u>Therefore:</u>

\rm: \longmapsto {x}^{2022}  +  \dfrac{1}{ {x}^{2022} }  = 1 + 1

\rm: \longmapsto {x}^{2022}  +  \dfrac{1}{ {x}^{2022} }  = 2

★ <u>Which is our required answer.</u>

\textsf{\large{\underline{More To Know}:}}

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

a² - b² = (a + b)(a - b)

(a + b)³ = a³ + 3ab(a + b) + b³

(a - b)³ = a³ - 3ab(a - b) - b³

a³ + b³ = (a + b)(a² - ab + b²)

a³ - b³ = (a - b)(a² + ab + b²)

(x + a)(x + b) = x² + (a + b)x + ab

(x + a)(x - b) = x² + (a - b)x - ab

(x - a)(x + b) = x² - (a - b)x - ab

(x - a)(x - b) = x² - (a + b)x + ab

6 0
3 years ago
Help me asap please
lapo4ka [179]

6^4

.......

.......

.......

.......

.......

.......

8 0
3 years ago
Read 2 more answers
Find a polynomial function p of lowest​ degree, having rational​ coefficients, with the given zero. 5i
weqwewe [10]
If we have one zero of +5i, we also have to have its conjugate which is -5i.  Therefore, the factors that we will FOIL to get that polynomial are (x+5i)(x-5i).  That distribution results in x^{2} -25 i^{2}.  I'm sure by now you know that i squared is equal to -1, so -25(-1) = 25.  So our polynomial is x^{2} +25=y
7 0
3 years ago
How many times do 7 go into4
Bond [772]
7 dosent go into 4 at all but 4 goes into 7 once
3 0
3 years ago
Other questions:
  • Deon worked 16 hours last week at the grocery store and earned $124.00. If he continues to earn the same hourly pay, how many ad
    13·2 answers
  • What is the value of x? 6 8 10 12
    9·2 answers
  • One term of a geometric sequence is a6 = 224. The common ratio is r = 2. What is the rule fo the nth term?
    11·1 answer
  • If two angles of one triangle are congruent to two angles of another triangle, then the _____ are congruent.
    13·1 answer
  • What is the qoutient?
    9·1 answer
  • With y-intercept of −3 and an x-intercept of −4.5. What's the slope-intercept form?
    7·1 answer
  • There are 598,500 employees in USA. Round the numbers to give place value and explane why two ansvers are same?
    15·2 answers
  • The cost of a pencil box is $2.50. The function f(x) = 2.5x gives the cost of x pencil boxes. Identify the domain, range, and gr
    9·1 answer
  • ........................answer
    10·2 answers
  • PLEASE HELP IM STUCK
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!