Answer:
The trapezoid has a height of 3 inches, a shorter base measuring 2.75 inches, and a longer base measuring 4.25 inches. The total area of the entire figure is 33 square inches.
Step-by-step explanation:
I took the iready diagnostic :)
I'm assuming that the full statement is ΔABC is congruent to ΔDEF.
Given:
m∠A = 70
m∠B = 47
m∠C = 63
Since both triangles are congruent, the corresponding angles in ΔDEF also has the same measure as those in ΔABC.
m∠D = 70
m∠E = 47
m∠F = 63
The measure of angle F is 63.
Answer:
0.536 is the required probability.
Step-by-step explanation:
We have been given the word the word "GEOMETRY"
we have to find the probability that two consonants and one vowel are chosen:
Number of consonants are: 5
Number of vowels are: 3
Hence, The required probability is: 
Using: 
Simplifying the above expression:
Further simplification after cancelling out the common terms we get:
Hence, Option 1 is correct.
Answer:
The least amount spent is £12.92
Step-by-step explanation:
Given
Number of Carton = 38
A carton = 45 pence
4 carton = £1.56
To spend the least amount of money, be needs to go for the least expensive option.
There are 100 pence in £1
So, there are x pence in £1.36
x * 1 =1.36 * 100
x = 136 pence for 4 carton.
To get the price of 1 carton, divide x by 4
x/4 = 136p/4
x/4 = 34 pence.
This means that he can get a carton of juice at the rate of 34p and at the rate of 45p.
The smallest of this is 34p.
Hence total amount spent =
34 * 38
amount = 1292p --- convert to £
Amount = 1292/100
Amount = £12.92
Hence, the least amount spent is £12.92
Answer:
Days- 9
Hours- 208
Minutes- 12,459
Step-by-step explanation:
For minutes,
747,533 ÷ 60 = 12,458.883 ≈ 12,459 minutes
For hours,
60 minutes to pass an hour so, 60 × 60 = 3600 minutes
747,533 ÷ 3600 = 207.648 ≈ 208 hours
For days,
1 day = 24 hours
1 hour = 3600 beats
24 × 3600 = 86400
747,533 ÷ 86400 = 8.652 ≈ 9 days
