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3 years ago

If sin 42° =2/3, then cos 48°=

Mathematics

2 answers:

Delvig [45]3 years ago

7 0

Sinα=cos(90-α) is a basic identity.

if sin42=2/3 then cos(90-42)=2/3 as well (90-42=48)

borishaifa [10]3 years ago

5 0

We know that: sin Ф = cos(π/2 - Ф) ↔ sin Ф = cos(90° - Ф)
Then:

sin 42° = cos(90° - 42°) = cos 48°

IF sin 42° = 2/3, the cos 48° = 2/3

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Use the following function to find the value of each operation.

Murljashka [212]

<h2>Evaluating Composite Functions</h2><h3>Answer:</h3>

$w(f(m(2))) = 593$

<h3>Step-by-step explanation:</h3>

We can write how $w(f(m(x)))$ will be defined but that's too much work and it's only useful when we are evaluating $w(f(m(x)))$ with many inputs.

First let's solve for $m(2)$ first. As you read through this answer, you'll get the idea of what I'm doing.

Given:

$m(x) = -4x +1$

Solving for $m(2)$ :

$m(2) = -4(2) +1 \\ m(2) = -8 +1 \\ m(2) = -7$

Now we can solve for $f(m(2))$ , since $m(2) = -7$ , $f(m(2)) = f(-7)$ .

Given:

$f(x)=3x-1$

Solving for $f(-7)$ :

$f(-7)=3(-7)-1 \\ f(-7) = -21 -1 \\ f(-7) = -22$

Now we are can solve for $w(-22)$ . By now you should get the idea why $w(f(m(2))) = w(-22)$ .

Given:

$w(x) = x^2 -5x -1$

Solving for $w(-22)$ :

$w(-22) = (-22)^2 -5(-22) -1 \\ w(-22) = 484 -5(-22) -1 \\ w(-22) = 484 +110 -1 \\ w(-22) = 593$

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3 years ago

How can you order a ladder

NikAS [45]

An adult can go online and search for the kind of ladder needed. Then they can choose the store they prefer. After that, they would decide what payment method to use. Shipping information would be entered, or they would go pick it up.

3 0

3 years ago

Read 2 more answers

Complete ratio .. i’ll give brainlyist or sum like that .

Lelu [443]

Answer:

2:8

25:100

5:20

1.25:5

Step-by-step explanation:

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3 years ago

If logx (8x-3) -logx 4=2, the value of x is

Vaselesa [24]

Answer:

x = 1/2 and 3/2

Step-by-step explanation:

The given equation is logₓ (8x-3) - logₓ 4 = 2

Then we have to determine the value of x.

logₓ $[\frac{(8x-3)}{4}]$ = 2 [ since log a - log b = log $(\frac{a}{b})$ ]

Now $x^{2}=\frac{(8x-3)}{4}$ [if $log_{a}$ b = c then $a^{c}$ = b]

4x² = 8x -3

4x² - 8x + 3 = 0

(2x)² - 2(4x) + (4-4) + 3 = 0

[(2x)² - 2 (4x) + 4 ] - 1 = 0

(2x - 2)² = 1

(2x - 2)² = ± 1 ⇒

2x - 2 = 1 and 2x - 2 = -1

x = 3/2 2x = 1

x = 1/2

Therefore, x = 1/2 and 3/2 are the answers.

3 0

3 years ago

20, 17,16, 17, 18, 16, 18, 19<br><br>what is the mode of the data set?

pychu [463]

Answer:

16,17 and 18

Step-by-step explanation:

In statistics mode of a set of entries is the entry which is repeated maximum. There can be more than one mode in a set of entries. These are called mode,

Bimode ( two mode ) , trimode ( three mode ) and Multimode ( four or more ) .

Hence here our set of entries is,

20,17,16,17,18,16,18,19

arranging them in ascending order

16,16,17,17,18,18,19,20

hence in this case we see that 16,17and 18 all are getting repeated for two times, the maximum.

Hence we have a trimode here

16,17,18

7 0

3 years ago