Sarah, Natasha and Richard share some sweets in the ratio 4:2:3. Sarah gets 13 more sweets than Richard. How many sweets are the
re altogether?
2 answers:
Answer:
<h2>117 sweets</h2>Solution,
Given ratio= 4 : 2 : 3
Sarah has 4x sweets.
Natasha has 2x sweets.
Richard has 3x sweets.
Given,
Now,
Total sweets:
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Answer:
117 sweets
Step-by-step explanation:
Please see attached picture for full solution. (model method)
S, N and R represents the number of sweets Sarah, Natasha and Richard have respectively.
Alternatively,
Let the number of sweets Sarah have be 4x.
Number of sweets Natasha have= 2x
Number of sweets Richard have= 3x
<em>Sarah gets 13 more sweets than Richard</em>
4x= 3x +13
4x -3x= 13
x= 13
Total number of sweets
= 4x +2x +3x
= 9x <em>(</em><em>simplify</em><em>)</em>
= 9(13) <em>(</em><em>subst</em><em>.</em><em> </em><em>x</em><em>=</em><em>1</em><em>3</em><em>)</em>
= 117 sweets
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A rigid transformation preserves the dimensions of the image
The option that gives the sequence of transformation that takes ΔB to ΔB is the option B.
<u>(B) Reflection across y-axis and a translation 2 units down </u>
Reason:
Question: The sequence of transformation that takes ΔA to image ΔB
<em>From a similar question, we have, ;</em>
<em>The vertices of triangle ΔA are; (-8, 9), (-9, 4), (-3, 4)</em>
<em>The vertices of triangle ΔB are; (8, 7), (3, 2), (9, 2)</em>
<em>The options are; </em>
<em>(A) Reflection over the x-axis and 2 units translation down</em>
<em>(B) Reflection over the y-axis and 2 units translation down</em>
<em>(C) 90° rotation after a translation of 2 units down</em>
<em>(D) 90° rotation after a translation of 12units right</em>
Solution;
The length of the base of ΔA = -3 - (-9) = 6
The length of the base of ΔB = 9 - 3 = 6
Therefore, the length s of triangle A and triangle B are equal
The orientation of the base of ΔA and ΔB are both horizontal
The location of the the side that traverses four cells are both furthest from the y-axis, or the vertical
Therefore, ΔB is a reflection of ΔA across the y-axis
We also have;
The base of ΔB is 2 units lower than the base ΔA
Therefore, the correct option is option B, reflection across y-axis and a translation 2 units down
Learn more here;
Answer:
C
Step-by-step explanation:
Area = π
r means radius
radius = d/2
d = diameter
8 /2 = 4
4 is radius
= 16
^ ( its 4 x 4 ) ^
so then,
Area = 16π