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3 years ago

MaFind the co-ordinate the image of a point 6,4). Rotate it than270de acee

Mathematics

1 answer:

telo118 [61]3 years ago

6 0

Answer:

(4, - 6 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 270°

a point (x, y ) → (y, - x ) , thus

(6, 4 ) → (4, - 6 )

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Joseph needs 6 1/2 cups of cooked rice for a recipe of nasi gorang. If 2 cups of uncooked rice with 2 1/2 cups of water make 4 1

liraira [26]

Answer:

The number of the cups of uncooked rice is 3 cups

The number of the cups of water is $3\frac{3}{4}$ cups

Step-by-step explanation:

* Let us read the recipe of Nasi Gorang

- 2 cups of uncooked rice need $2\frac{1}{2}$ cups of water to

make $4\frac{1}{3}$ cups of cooked rice

- Joseph needs $6\frac{1}{2}$ cups of cooked rice

- We need to know how many cups of uncooked rice Joshep needs

for this recipe and how much water should be added

* We can solve this problem by using the ratio method

⇒ uncooked cups : water cups : cooked cups

⇒ 2 : $2\frac{1}{2}$ : $4\frac{1}{3}$

⇒ x : y : $6\frac{1}{2}$

- By using cross multiplication

∵ x ( $4\frac{1}{3}$ ) = 2 ( $6\frac{1}{2}$ )

∵ $4\frac{1}{3}$ = $\frac{13}{3}$

∵ $6\frac{1}{2}$ = $\frac{13}{2}$

∴ x ( $\frac{13}{3}$ ) = 2 ( $\frac{13}{2}$ )

∴ $\frac{13}{3}$ x = 13

- Divide both sides by $\frac{13}{3}$

∴ x = 3

∴ The number of the cups of uncooked rice is 3 cups

- By using cross multiplication

∵ y ( $4\frac{1}{3}$ ) = ( $2\frac{1}{2}$ )( $6\frac{1}{2}$ )

∵ $2\frac{1}{2}$ = $\frac{5}{2}$

∵ $6\frac{1}{2}$ = $\frac{13}{2}$

∵ $4\frac{1}{3}$ = $\frac{13}{3}$

∴ $\frac{13}{3}$ y = ( $\frac{5}{2}$ )( $\frac{13}{2}$ )

∴ $\frac{13}{3}$ y = $\frac{65}{4}$

- Divide both sides by $\frac{13}{3}$

∴ y = $3\frac{3}{4}$

∴ The number of the cups of water is $3\frac{3}{4}$ cups

6 0

2 years ago

If you know please help me

MrRa [10]

Average rate of change of the function $=\frac{75}{2}$

Solution:

Given function: $f(x)=5(2)^{x}$ from x = 1 to x = 5

Substitute x = 1 and x = 5 in f(x).

$f(1)=5(2)^{1}=10$

$f(5)=5(2)^{5}=160$

Let us find the average rate of change of the function.

Average rate of change

$$=\frac{f(b)-f(a)}{b-a}$

Here a = 1 and b = 5.

$$=\frac{f(5)-f(1)}{5-1}$

Substitute f(5) and f(1).

$$=\frac{160-10}{4}$

$$=\frac{150}{4}$

$$=\frac{75}{2}$

Average rate of change of the function $=\frac{75}{2}$

4 0

3 years ago

Help please!

LiRa [457]

Step-by-step explanation:

The rectangle area is equal to LENGTH * WIDTH

then

t^2-16t+48 = L*W

L = [t^2-16t+48] / W

and

t^2-16t+48 = L*W

W = [t^2-16t+48] / L

Best regards

7 0

3 years ago

What is the volume of the prism?

serious [3.7K]

Answer: 48

Step-by-step explanation: Triangle base is 6 and multiply by the length (8) to get 48

7 0

3 years ago

How are rigid transformations used to justify the SAS congruence theorem?

Masja [62]

Answer:

When a shape is transformed by rigid transformation, the sides lengths and angles remain unchanged.

Rigid transformation justifies the SAS congruence theorem by keeping the side lengths and angle, after transformation.

Assume two sides of a triangle are:

And the angle between the two sides is:

When the triangle is transformed by a rigid transformation (such as translation, rotation or reflection), the corresponding side lengths and angle would be:

Notice that the sides and angles do not change.

Hence, rigid transformation justifies the SAS congruence theorem by keeping the side lengths and angle, after transformation.

Step-by-step explanation:

5 0

1 year ago

MaFind the co-ordinate the image of a point 6,4). Rotate it than270de acee​

MaFind the co-ordinate the image of a point 6,4). Rotate it than270de acee