Answer:
a = 15
Step-by-step explanation:
This is your given:

You are going to want to get a alone to get what a equals.

Multiply 3 on both sides to get the a alone

She has 45% of the original amount left
<h3>Ratio and proportions</h3>
Fractions are written as a ratio of two integers
Given the following
Initial amount. = ∈4000
Amount given to her sister = 1/4 * 4000 = 1000
Amount given to her brother = 40% of 3000 = 1200
Amount left = 4000 - (1000+1200)
Amount left = ∈1800
Determine the percentage left
x * 4000 = 1800
x = 1800/4000
x = 0.45
x = 45%
Hence she has 45% of the original amount left
Learn more proportion here: brainly.com/question/19994681
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Answer:
=4xy−4y2+16x−16y
Step-by-step explanation:
(2x−2y)(2y+8)
=(2x+−2y)(2y+8)
=(2x)(2y)+(2x)(8)+(−2y)(2y)+(−2y)(8)
=4xy+16x−4y2−16y
=4xy−4y2+16x−16y
Answer:
Its option C
Step-by-step explanation:
to find the volume you multiply the length, width and height together.
Answer:
1. ∠ABD = 20°.
2. Arc AB = 140°.
3. Arc AD = 40°.
Step-by-step explanation:
Given information: ∠ADB = 70°. BD is diameter.
According to Central angle theorem, the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points.
By Central angle theorem,

Using angle sum of property in triangle ADB we get,


.
Draw a line segment AO.
In triangle AOD, AO=OD, so

Using angle sum property in triangle AOD,



Therefore length of arc AD is 40°.
The angle AOD and AOB are supplementary angles.



Therefore length of arc AB is 140°.