Answer:
Voir ci-dessous.
Step-by-step explanation:
1.
OA/OD = 36/64 = 9/16
OB/OC = 27/48 = 9/16
m<AOB = m<COD
triangle AOB ~ trianlge DOC
m<BAO = m<CDO
AB || CD
2.
AB/CD = OA/OD
AB/80 = 36/64
AB/80 = 9/16
16AB = 9 × 80
AB = 9 × 5
AB = 45
AB = 45 cm
3.
AB = 45
BC = OC + OB = 48 + 27 = 75
AB² + AC² = BC²
45² + AC² = 75²
AC² = 5625 - 2025
AC = √3600
AC = 60 cm
hauteur = 5 × 2 cm + 4 × 60 cm
hauteur = 10 cm + 240 cm
hauteur = 250 cm
Answer:
the tax on a $90,000 salary is: $5175
Step-by-step explanation:
Given that the person earns a $90,000 annual salary, you need to use the last of the brackets , the one that reads "<em>17,001 and up</em>". That is, you need to find the 5.75% of the $90,000 in order to determine the taxes owed.
Recall that 5.75% in math terms is: 5.75/100 = 0.0575
Then the 5.75% of $90,000 is mathematically calculated as the product :
0.0575 x 90,000 = 5175
Therefore the tax on a $90,000 salary is: $5175
Answer:
Step-by-step explanation:
Formula: Simple interest = PRT
P= 5000
R= 9%
T= 17
So, 5000 x 9/100 x 17 = 7650
Answer:
8 boxes
Step-by-step explanation:
To solve this question you must find the prime factors of both numbers
Apples number: 64
Oranges number: 24
Then:
64| 2
32| 2
16| 2
8 | 2
4 | 2
2 | 2
1
24| 2
12| 2
6 | 2
3 | 3
1
Now we take the common factors in both terms with their lowest exponent.
2 is a common factor and its smallest exponent is 3:
So the largest number of boxes you can make is 8
The number of apples that each box contains is:
The number of oranges that each box contains is:
Answer:
(-3, 4)
Step-by-step explanation:
let the point P(x, y)
x = (5/7 × (-1+8)) + (-8)
= (5/7 × 7) -8 = 5-8 = -3
y = (5/7 × (8+6)) + (-6)
= (5/7 × 14) -6 = 10-6 = 4
so, P => (-3 , 4)