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ArbitrLikvidat [17]
2 years ago
14

Please help worth 15 points

Mathematics
2 answers:
Zarrin [17]2 years ago
6 0

Answer:

Hi! Answer: 1/256

Step-by-step explanation:

Apple exponent rule a^-b= 1/a^b

4^-4= 1/4^4

=1/4^4

4^4=256

so therefore, it is 1/256

Pie2 years ago
4 0

.00390625 is the answer I got

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What is the shaded portion of the circle
blagie [28]

Answer:

(5\pi-11.6)\ ft^{2}

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the sector minus the area of the triangle

step 1

Find the area of the circle

the area of the circle is equal to

A=\pi r^{2}

we have

r=5\ ft

substitute

A=\pi (5)^{2}

A=25\pi\ ft^{2}

step 2

Find the area of the sector

we know that

The area of the circle subtends a central angle of 360 degrees

so

by proportion find out the area of a sector by a central angle of 72 degrees

\frac{25\pi}{360}=\frac{x}{72}\\ \\x=72*25\pi /360\\ \\x=5\pi\ ft^{2}

step 3

Find the area of triangle

The area of the triangle is equal to

A=\frac{1}{2}(2.9+2.9)(4)= 11.6\ ft^{2}

step 4

Find the area of the shaded region

Subtract the area of the triangle from the area of the sector

(5\pi-11.6)\ ft^{2}

8 0
2 years ago
Help quick ❗️❗️ Which sequence of transformations will change did your PQRS to figure P’Q’R’S’?
babymother [125]

Answer:

Counterclockwise rotation about the origin by 90° followed by reflection over the Y-axis ⇒ answer (D)

Step-by-step explanation:

* Lets revise the reflection and the rotation of a point

- If point (x , y) reflected across the x-axis

∴ Its image is (x , -y)

- If point (x , y) reflected across the y-axis

∴ Its image is (-x , y)

- If point (x , y) rotated about the origin by angle 90° counter clockwise

∴ Its image is (-y , x)

- If point (x , y) rotated about the origin by angle 90° clockwise

∴ Its image is (y , -x)

- If point (x , y) rotated about the origin by angle 180°

∴ Its image is (-x , -y)

* There is no difference between rotating 180° clockwise or  

anti-clockwise around the origin

- In our problem

# The vertices of the original figure are:

  P(1 , -3) , Q (3 , -2) , R (3 ,-3) , S (2 , -4)

# The vertices of the image are:

  P' (-3 , 1) , Q' (-2 , 3) , R' (-3 , 3) , S' (-4 , 2)

∵ x and y are switched

∴ The figure is rotated about origin by 90°

∵ The signs of the x-coordinates and the y-coordinates

   didn't change

∴ The rotation is followed by reflection, to know about which

   axis we must to find the images after the rotation

∵ P (1 , -3) ⇒ after rotation 90° counter clockwise is (3 , 1)

∵ Q (3 , -2) ⇒ after rotation 90° counter clockwise is (2 , 3)

∵ R (3 , -3) ⇒ after rotation 90° counter clockwise is (3 , 3)

∵ S (2 , -4) ⇒ after rotation 90° counter clockwise is (4 , 2)

* The images are P' (-3 , 1) , Q' (-2 , 3) , R' (-3 , 3) , S' (-4 , 2)

- The sign of x-coordinates of all of them changed

∴ The rotation followed by reflection over the y-axis

* The answer is ⇒ Counterclockwise rotation about the origin

  by 90° followed by reflection over the Y-axis

7 0
3 years ago
The quotient of 254 and k is 94
Rashid [163]

Answer:

k is 23876

Step-by-step explanation:

you have to multiply 254 and 94 by eachothe then that's your answer!

8 0
2 years ago
What are 3 different factor strings for 840
Flauer [41]

840=2 times 2 times 2 times 3 times 5 times 7
6 0
3 years ago
Fill in the blank with the correct response.<br> If 3/4 = x/18 , then x is equal to
madam [21]

Answer: x = 13.5

3/4 = x/18

⇔ x = 3/4 .18 = 27/2 = 13.5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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