Answer:
Step-by-step explanation:
Total peanuts = 5/6pounds
They ate = 3/4 of the peanut
= 3/4 × 5/6 = 5/8pounds
They eat 5/8 pounds
Amount left = 5/6 - 5/8
= (20 - 15)/24
= 5/24pounds
Jesus had 5/24 pounds of peanuts left
-8-6f-3f = -8-9f
:) hope I helped
1. (3x-2)/4+1=5
2. (3x-2)/4+1-1=5-1
3. (3x-2)/4=4
4. (3x-2)/4+2=4+2
5. this is the mistake, wecan't just add them because the fractions aren't the same
(3x-2)/4 plus 2/1, the bottom numbers areen't the same
what should be done is go back to step 4 and mltiply both sides by 4, don't add 2
results in
5. 3x-2=16
6. 3x=18
7. x=6
Given that,
The area parameters are
A = 2.7 cm, B = 4.1 cm C = 4.5 cm
We want to find the angle extended by B.
Using cosine Rule
b² = a² + c² - 2ac•Cosθ
4.1² = 2.7² + 4.5² - 2 × 2.7 × 4.5• Cosθ
16.81 = 7.29 + 20.25 - 24.3•Cosθ
16.81 - 7.29 - 20.25 = -24.3•Cosθ
-10.73 = -24.3•Cosθ
Cosθ = -10.73 / -24.3
Cosθ = 0.4416
θ = Cos~1 (0.4416)
θ = 63.8°
The angle B is 63.8°
Answer:
31\frac{1}{2}ft^2
Step-by-step explanation:
From the information given each of the three rectangular countertops has dimension 4\frac{3}{8} by 2\frac{2}{5} feet.
The area of a rectangular shapes is the product of the dimensions.
Each rectangular countertop has area;
4\frac{3}{8}\times 2\frac{2}{5}=\frac{35}{8}\times \frac{12}{5} =10\frac{1}{2}ft^2
Therefore the number of square feet tiles needed to cover all the countertops is D.
