1/8+c=4/5 jus need to answer

3⁵.2⁴.2¹.3⁶.(3²)⁴ and down (2³)².3⁶<br>

BARSIC [14]

Answer:

$\dfrac{3^{13}}{2}$

Step-by-step explanation:

Given expression:

$\dfrac{3^5 \cdot 2^4 \cdot 2^1 \cdot 3^6 \cdot (3^2)^4}{(2^3)^2 \cdot 3^6}$

$\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:$

$\implies \dfrac{3^5 \cdot 2^4 \cdot 2^1 \cdot 3^6 \cdot 3^8}{2^6 \cdot 3^6}$

$\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:$

$\implies \dfrac{3^{(5+6+8)} \cdot 2^{(4+1)}}{2^6 \cdot 3^6}$

$\implies \dfrac{3^{19} \cdot 2^{5}}{2^6 \cdot 3^6}$

$\implies \dfrac{3^{19} \cdot 2^{5}}{3^6 \cdot 2^6}$

$\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:$

$\implies 3^{(19-6)} \cdot 2^{(5-6)}$

$\implies 3^{13} \cdot 2^{-1}$

$\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:$

$\implies \dfrac{3^{13}}{2^1}$

$\textsf{Apply exponent rule} \quad a^1=a:$

$\implies \dfrac{3^{13}}{2}$

4 0

2 years ago

Error Analysis Allie says JKL ~ XYZ<br> What is Allie's error?

Alex Ar [27]

Similar triangles may or may not have equal measures

Allie's error is that Allie did not state the similarity theorem

<h3>How to determine Allie's error </h3>

The statement JKL ~ XYZ means that:

Triangles JKL and XYZ are similar triangles

From the complete question, we have the following highlights:

Angles J and X have equal measures of 55 degrees
The side lengths of triangle XYZ are 3 multiplied by the corresponding side lengths of triangle JKL

The above means that, both triangles are similar by SAS or SSS

In Allie's statement, the similarity theorem is not stated

Hence, Allie's error is that Allie did not state the similarity theorem

Read more about similar triangles at:

brainly.com/question/14285697

6 0

3 years ago

Sin 1 + sin 2 + sin3 .................+ sin 360 = ?

lesya [120]

Assuming that arcs are given in degrees, call S the following sum:

S = sin 1° + sin 2° + sin 3° + ... + sin 359° + sin 360°

Rearranging the terms, you can rewrite S as

S = [sin 1° + sin 359°] + [sin 2° + sin 358°] + ... + [sin 179° + sin 181°] + sin 180° +
+ sin 360°

S = [sin 1° + sin(360° – 1°)] + [sin 2° + sin(360° – 2°)] + ...+ [sin 179° + sin(360° – 179)°]
+ sin 180° + sin 360° (i)

But for any real k,

sin(360° – k) = – sin k

then,

S = [sin 1° – sin 1°] + [sin 2° – sin 2°] + ... + [sin 179° – sin 179°] + sin 180° + sin 360°

S = 0 + 0 + ... + 0 + 0 + 0 (... as sin 180° = sin 360° = 0)

S = 0

Each pair of terms in brackets cancel out themselves, so the sum equals zero.

∴ sin 1° + sin 2° + sin 3° + ... + sin 359° + sin 360° = 0 ✔

I hope this helps. =)

Tags: <em>sum summatory trigonometric trig function sine sin trigonometry</em>

4 0

3 years ago

You buy clothing at a sale you buy sneakers at 2/3 of their original price of $60 a sweater at 7/10 of its original price of $35

ozzi

Answer:

a. We spent all together 40.2+24.5+37.8=$102.50.

b. We saved 19.8+10.5+7.2=$37.50

c. $\frac{102.50}{140}$

Step-by-step explanation:

To find the amount we spend, we multiply the original price by the decimal conversion of each fraction. Then we add the amounts together.

Sneakers cost $60 and you bought them at 2/3=0.6666....

60(0.67)=$40.20 and saved $19.80

Sweater costs $35 and you bought it at 7/10=0.7

35(0.7)=$24.50 and saved $10.50

A jacket costs $45 and you bought it at 5/6=0.8333...

45(0.84)=$37.80 and saved $7.20

We spent all together 40.2+24.5+37.8=$102.50.

We saved 19.8+10.5+7.2=$37.50

We could of spent paying regular price 60+35+45=$140. To find the fraction we place the total we actually paid over the total regular price.

$\frac{102.50}{140}$

6 0

4 years ago

Read 2 more answers

Mr. Shively’s TV cabinet is 30 inches tall and 40 inches wide. Best Buy is selling 50 inch, 55 inch, 60 inch, and 65 inch TVs. O

Simora [160]

Answer:

He should buy a 50 inch TV

Step-by-step explanation:

Using Pythagorean theorem the TV cabinet has a diagonal of :

$\sqrt{30^{2} + 40^{2} } = 50$

4 0

3 years ago