<span>
<u><em>The correct answer is: </em></u>4.2 inches.
<u><em>Explanation</em></u><span>
<u><em>: </em></u>We use the size of the largest dimension of the reproduction to find the scale factor. The largest dimension of the original drawing was 5 inches.
The largest dimension of the reproduction is 11 inches.
<u>To find the scale factor, divide: </u>
</span></span>
<span><span>=2.1.
Since the scale factor is 2.1, to find the smallest dimension of the reproduction we <u>multiply the original by 2.1</u>:
2*2.1=4.2 inches.</span></span>
Answer:
<em>$7,196.42 </em>
Step-by-step explanation:
Using the compound interest formula to fins the amount after 10years;
A = P(1+r)^n
Principal P = $400,000
Rate r = 8% = 0.08
Time t = 10 years
Substitute
A = 400,000(1+0.08)^10
A = 400,000(1.08)^10
A = 400,000(2.1589)
A = 863,569.99
A ≈ 863,570
Hence the amount after 10 years is $863,570
Monthly deposit = $863,570/120 (10 years is equivalent to 120months)
Monthly deposit = 7,196.42
<em>Therefore he will have to deposit $7,196.42 into his account monthly</em>
Simplify both sides then isolate the variable and it gives you y=3.6
Answer:
56 people drink 3 cups daily
Step-by-step explanation:
What's the total number of people that drink 3 cups?
Total number of people = 400
7 / 10 were asked said yes
Number of people that said yes = (7 / 10) × 400 = 280
280 people drink tea.
20% of 280 people drink 3 cups daily, whats the number = ?
20% of 280 = ?
20 / 100 = x / 280
(20 × 280) = (100 × x)
5600 = 100x
X = 5600 / 100
X = 56 people
56 people drink 3 cups of tea daily.
Answer:
✔️2 sets of corresponding angles
<D and <S
<R and <L
✔️2 sets of corresponding sides
DR and SL
RM and LT
Step-by-step explanation:
When two polygons are congruent, it implies that they have the same shape and size. Therefore, their corresponding angles and sides are congruent to each other.
When naming congruent polygons, the arrangement of the vertices are kept in a definite order of arrangement.
Therefore, Given that polygon DRMF is congruent to SLTO, the following angles and sides correspond to each other:
<D corresponds to <S
<R corresponds to <L
<M corresponds to <T
<F corresponds to <O
For the sides, we have:
DR corresponds to SL
RM corresponds to LT
MF corresponds to TO
FD corresponds to OS.
We can select any two out of these sets of corresponding angles and sides as our answer. Thus:
✔️2 sets of corresponding angles
<D and <S
<R and <L
✔️2 sets of corresponding sides
DR and SL
RM and LT
