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2 years ago

Use base ten blocks to solve 53/4

Mathematics

1 answer:

Crazy boy [7]2 years ago

6 0

if you have base ten blocks you can figure out the answer

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Given that the measure of angle 6 is 1/8 of measure of angle 4. Find the measures of these two angles if a∥b.

vredina [299]

Answer:

see explanation

Step-by-step explanation:

Let ∠4 be x then ∠6 is $\frac{1}{8}$ x

∠4 and ∠6 are same side interior angles and are supplementary, thus

x + $\frac{1}{8}$ x = 180

Multiply through by 8 to clear the fraction

8x + x = 1440, that is

9x = 1440 ( divide both sides by 9 )

x = 160

Hence ∠4 = 160° and ∠6 = 160° ÷ 8 = 20°

8 0

2 years ago

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If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

6 0

2 years ago

Plss show explanation! what is 1/4 + 1/3 + 11/12

maks197457 [2]

6 1/2

First you find a common denominator. 1/4 = 3/12 and 1/3 = 4/12.

3/12 + 4/12 + 11/12 = 18/12.

18/12 = 6 6/12 = 6 1/2

3 0

2 years ago

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Can y’all plz help thx

astraxan [27]

The answer: 17 degrees

7 0

2 years ago

Help plss. due tomorrow

Dima020 [189]

Answer:

Step-by-step explanation:

Length times with times height

7 0

2 years ago

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