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3 years ago

A chef cooks rice using a 1: 2 ratio of dry rice to water. Her recipe calls for 9.5 cups of dry rice.

Mathematics

1 answer:

tigry1 [53]3 years ago

8 0

Answer:

19 cups of water.

Step-by-step explanation:

1:2 ratio

1=9.5

2=9.5*2= 19

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triangle abc has vertices at a(-2 3),B(0,3),c(-1,-1). Find the coordinates of the image after a reflection over the x-axis.

Crazy boy [7]

The new coordinates of the triangle after reflection from x-axis would be A(-2, -3) , B(0, -3) and C( -1, 1 )

Explanation:

The vertices of the triangle are A(-2 3), B(0,3), C(-1,-1)

The reflection is over the x-axis.

When the reflection is along the x-axis, the coordinates of x does not change. However, the coordinates of y does change.

The negative value of y becomes positive and the positive value of y becomes negative.

Similarly,

A(-2, 3) would become A(-2, -3)

B(0, 3) would become B(0, -3)

C(-1, -1) would become C( -1, 1 )

Therefore, the new coordinates of the triangle after reflection from x-axis would be A(-2, -3) , B(0, -3) and C( -1, 1 )

6 0

3 years ago

Find z1z2 if z1 = 2/5(cos63° + isin63°) and z2 = 10/3(cos117° + isin117°).

Airida [17]

Answer:

-10/3 is the answer

Step-by-step explanation:

Given are two complex numbers as

$z1=\frac{2}{5} (cos63 + isin63)\\z2=\frac{10}{3} (cos 117 + isin117})$

Recall Demoivre theorem as

(cosA+isinA)(cos A+isin B) = cos(A+B)+isin(A+B)

Hence here we have sum of angles as

A+B = 63+117 =180

$z1z2=\frac{2}{5} \frac{10}{3} (cos180+isin180)$

= $\frac{-10}{3}$

Since sin180=0 and cos 180=-1

7 0

4 years ago

6cos(20πt-π)+6√3cos(20πt-π\2)

juin [17]

Answer:

Answer is -6t

Step-by-step explanation:

${ \tt{ = (6 \cos(20\pi t) \cos(\pi) + 6\sin(20\pi t) \sin(\pi) ) + 6 \sqrt{3} ( \cos(20\pi t) \cos( \frac{\pi}{2} ) + \sin(20\pi t) \sin( \frac{\pi}{2} )) }} \\ = { \tt{ (- 6t + 0) + (0 + 0)}} \\ = { \tt{ - 6t}}$

Note that π is 180°

5 0

3 years ago

Need help!!!! Pleaseeeee

Amanda [17]

Answer:

for #2 I'm pretty sure he makes $10 per hour

6 0

3 years ago

Angel lives 3 3 4 blocks to the east of school. Tyrone lives 7 1 4 blocks to the west of Angel. Nadeem lives 8 blocks to the eas

Vladimir79 [104]

Answer:

3 1/2

Step-by-step explanation:

Given that:

Angel lives 3 3/4 blocks to the east of school

Tyrone lives 7 1/4 blocks to the west of Tyrone

Nadeem lives 8 blocks to the east of Tyrone.

Determining each of their homes in terms of distance from school :

Angel = 3 3/4 blocks from school

Tyrone = 7 1/4 blocks to the west of angel

Hence, distance from school will be :

7 1/4 - 3 3/4 = 3 1/2 blocks to the west of school

Nadeem = 8 blocks to the east of Tyrone :

Distance from school will be:

8 - 3 1/2 = 4 1/2 to the east of school.

Hence, 3 1/2 to the west of school is the closet distance of the three.

Hence, Tyrone lives closest to school

8 0

3 years ago