Since Christi earns $21 per hour, to find how much she earns by working 19 hours per week we need to multiply the hourly wage by the number of hours she works in a week:

$21\times19=399$

Her weekly wage is $399

Answer: D) $399

7 0

7 months ago

A parallelogram has sides 10m and 12m and an angle of 45°. Find the distance between the 12m-sides.

stich3 [128]

Answer:

The distance between 12m-sides is $5\sqrt{2}m$ .

Step-by-step explanation:

It is given that the parallelogram has sides 10m and 12m and an angle of 45°.

Draw an altitude from one 12m side to another 12 m side as shown in below figure.

The opposite angles of parallelogram are same. Two angles are obtuse angles and two are acute angle.

Since angle C is acute angle therefore it must be 45 degree.

$\sin\theta=\frac{perpendicular}{hypotenuse}$

$\sin C=\frac{BE}{BC}$

$\sin(45^{\circ})=\frac{d}{10}$

$\frac{1}{\sqrt{2}}=\frac{d}{10}$

$\frac{10}{\sqrt{2}}=d$

$\frac{10}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}=d$

$\frac{10\sqrt{2}}{2}=d$

$5\sqrt{2}=d$

Therefore the distance between 12m-sides is $5\sqrt{2}m$ .

4 0

2 years ago

A chef prepared five chocolate tortes for a dinner party. The guests consumed 2 5⁄16 tortes. How many tortes are left? A. 3 11⁄1

Alona [7]

The answer is Letter b

If you subtracted 5 with 2 5/16 you will get answer

5 0

3 years ago

Read 2 more answers

HELP ME PLEASEEEEEE

mel-nik [20]

Answer:

Step-by-step explanation:

4(12)+2÷10

48+2÷10

50÷10

3 0

2 years ago

Read 2 more answers