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3 years ago

8

A factory can work its employees no more than 5 days a week, and no less than 2 days per

1 answer:

ElenaW [278]3 years ago

4 0

Answer:

2≥d≤5

Step-by-step explanation:

Let d be days worked weekly.

You can't work more than 5, so 5 is the most you can work so d is less than or equal to 5

AND

You can't work less than 2 days, so 2 is the least you can work so d is greater than or equal to 2

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I really need help here, will u help me plz??

kvasek [131]

A and C are the only ones who could work...

Because 16+16=32 2+2=4 so 4 counselors to 32 campers

16+16+16=48 and 2+2+2=6 so 48 campers to 6 counselors could also work.

5 0

3 years ago

A point H is 20m away from the foot of a tower on the same horizontal ground. From the point H, the angle of elevation of the po

astra-53 [7]

Answer:

a. See Attachment 1

b. $PT = 12.3\ m$

c. $HT = 31.1\ m$

d. $OH = 28.4\ m$

Step-by-step explanation:

Calculating PT

To calculate PT, we need to get distance OT and OP

Calculating OT;

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

$tan50 = \frac{OT}{20}$

Multiply both sides by 20

$20 * tan50 = \frac{OT}{20} * 20$

$20 * tan50 = OT$

$20 * 1.1918 = OT$

$23.836 = OT$

$OT = 23.836$

Calculating OP;

We have to consider angle 30, distance OH and distance OP

The relationship between these parameters is;

$tan30 = \frac{OP}{20}$

Multiply both sides by 20

$20 * tan30 = \frac{OP}{20} * 20$

$20 * tan30 = OP$

$20 * 0.5774= OP$

$11.548 = OP$

$OP = 11.548$

$PT = OT - OP$

$PT = 23.836 - 11.548$

$PT = 12.288$

$PT = 12.3\ m$ (Approximated)

--------------------------------------------------------

Calculating the distance between H and the top of the tower

This is represented by HT

HT can be calculated using Pythagoras theorem

$HT^2 = OT^2 + OH^2$

Substitute 20 for OH and $OT = 23.836$

$HT^2 = 20^2 + 23.836^2$

$HT^2 = 400 + 568.154896$

$HT^2 = 968.154896$

Take Square Root of both sides

$HT = \sqrt{968.154896}$

$HT = 31.1\ m$ <em>(Approximated)</em>

--------------------------------------------------------

Calculating the position of H

This is represented by OH

See Attachment 2

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

$tan50 = \frac{OH}{OT}$

Multiply both sides by OT

$OT * tan50 = \frac{OH}{OT} * OT$

$OT * tan50 = {OH$

$OT * 1.1918 = OH$

Substitute $OT = 23.836$

$23.836 * 1.1918 = OH$

$28.4= OH$

$OH = 28.4\ m$ <em> (Approximated)</em>

5 0

3 years ago

Multiply: (6x - 1)(6x +1)

Salsk061 [2.6K]

I’m not positive but i think it’s 36x^2 -1

4 0

3 years ago

Read 2 more answers

an orange was divided into 10 equal section. lily ate 4 sections. manny and Emma ate the remaining section. what fraction of the

salantis [7]

Answer:

Emma and Manny ate 3/10ths of the orange

Step-by-step explanation:

Lily ate 4 sections so that means 6/10ths of the orange is left.

Emma and Manny want to share the rest of the orange equally. So divide 6 by 2 and get 3. So 3/10ths for each of them.

4 0

3 years ago

qwelly [4]

The answer is Infinate Solutions I believe we are working on these types of equations in school rn

5 0

3 years ago

Read 2 more answers