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3 years ago

In the triangle below, what is the tangent of 45°?

Mathematics

2 answers:

lana [24]3 years ago

7 0

Answer:

C. 1.

Step-by-step explanation:

Tan 45 = opposite / adjacent side

= 1/1

= 1.

Lana71 [14]3 years ago

6 0

Answer:

Step-by-step explanation:

tan45° = $\frac{opposite}{adjacent}$ = $\frac{1}{1}$ = 1

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How do i find a formula for "1+3+5+7+......+(2n-1)

nata0808 [166]

Answer:

Step-by-step explanation:

common difference d=3-1=2

first term a=1

an=a+(n-1)d

2n-1=1+(l-1)2

2n-1=1+2l-2

2n-1=2l-1

l=n

(i used l for number of terms)

number of terms=n

$S_{n}=\frac{n}{2} (first ~term+last~term)\\=\frac{n}{2} (1+2n-1)\\=n^2$

7 0

3 years ago

If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. Find the first term and the 20th term.

Reil [10]

The first term is 2 and the 20th term is 1048576 .

Step-by-step explanation:

Here we have , If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. We need to Find the first term and the 20th term. Let's find out:

We know that Sum of a GP is :

⇒ $S_n = \frac{a(r^n-1)}{r-1}$

So ,Sum of first 12 terms is :

⇒ $S_1_2 = \frac{a(2^{12}-1)}{2-1}$

⇒ $8190=a(2^{12}-1)$

⇒ $\frac{8190}{4095}=a$

⇒ $a=2$

Now , nth term of a GP is

⇒ $a_n = ar^{n-1}$

So , 20th term is :

⇒ $a_2_0 = 2(2)^{20-1}$

⇒ $a_2_0 = (2)^{20}$

⇒ $a_2_0 = 1048576$

Therefore , the first term is 2 and the 20th term is 1048576 .

8 0

3 years ago

During a clothing store’s Bargain Days, the regular price for T-shirts is discounted by $5. There is a state sales tax of 5%, an

ser-zykov [4K]

A) d = r - 5 where t is the full price
b) p = ( r - 5 ) * 1.05 
c) p = (15.5-5)*1.05 = 10.5 * 1.05 = $ 11.02

8 0

3 years ago

Read 2 more answers

How to find the value of x un the simplest radical form

Nonamiya [84]

An educated guess
In order to find this you need to use the right triangle formula and multiply the two.

Hope this helps!

8 0

3 years ago

(6) (Bonus) Determine the Cartesian equation of the surface with spherical coordinate equation rho = 2 cos θ sin φ − 2 sin θ sin

KonstantinChe [14]

Answer:

Hence, the sphere has a radius of $\sqrt{3}$ and is centered at the point (1,-1,1)

Step-by-step explanation:

We have the equation

$\rho=2cos\theta cos\phi-2sin\theta sin\phi+2cos\phi$

We have to take into account the relation between coordinates

$\rho=\sqrt{x^2+y^2+z^2}\\x=\rho cos\theta sin\phi\\y=\rho sin\theta sin\phi\\z= \rho cos\phi$

by substituting we have:

$\rho=2[\frac{x}{\rho}-\frac{y}{\rho}+\frac{z}{\rho}]\\\\\rho^2=2x-2y+2z\\\\x^2+y^2+z^2=2x-2y+2z$

We have to complete squares:

$(x^2-2x+1)+(y^2+2y+1)+(z^2-2z+1)-1-1-1=0\\\\(x-1)^2+(y+1)^2+(z-1)^2=3$

Hence, the sphere has a radius of $\sqrt{3}$ and is centered at the point (1,-1,1)

hope this helps!!

4 0

3 years ago