Answer:
4.75 feet
Step-by-step explanation:
Let the height of the flagpole be x
Sin 53 = x/12
x = 12 × Sin 53
x = 12 × 0.3959
x = 4.75 feet
876080119... ;) hope this helps Feni
Answer:
x = 10
Step-by-step explanation:
Hey there!
To solve this question we will use PEMDAS (order of operations)
4x−7=8x+33
Subtract 8x from both sides.
4x−7−8x=33
Combine 4x and −8x to get −4x.
−4x−7=33
Add 7 to both sides.
−4x=33+7
Add 33 and 7 to get 40.
−4x=40
Divide both sides by −4.
x= 40/-4
Divide 40 by −4 to get −10.
x=−10
Answer:
There will be 8 cats in each group.
Step-by-step explanation:
You do 24 divided by 3, which is 8. So, there will be 8 cats in each group.
Answer:
133.33g
Step-by-step explanation:
Let the:
Mass of 1.2g/cm³ of liquid = x
Mass of 1.8g/cm³ of liquid = y
From our Question above, our system of equations is given as:
x + y = 400........ Equation 1
x = 400 - y
1.2 × x + 1.8 × y = 1.6 × 400
1.2x + 1.8y = 640..... Equation 2
We substitute, 400 - y for x in Equation 2
1.2(400 - y) + 1.8y = 640
480 - 1.2y + 1.8y = 640
- 1.2y + 1.8y = 640 - 480
0.6y = 160
y = 160/0.6y
y = 266.67 g
Solving for x
x = 400 - y
x = 400 - 266.67g
x = 133.33g
Therefore, the mass of the liquid of density 1.2g/cm³ is 133.33g
