Answer:
52
Step-by-step explanation:
We can write this out as an equation. Let's say that the teacher's age is x. Triple the teachers age plus the students age is 163, which can be written out as:
We want to isolate the variable, so subtract 7 from both sides. This gives us:
Finally, we divide both sides by 3, giving:
So the teacher is 52 years old.
Hope this helps!
Answer:
216 cm^2
Step-by-step explanation:
A cube has 6 congruent, square faces.
Each face has side length of 6 cm.
The total surface area is the sum of the surface areas of the 6 faces, but since all faces are congruent, the total surface area is
SA = 6s^2
where s = side length
SA = 6 * (6 cm)^2
SA = 6 * 36 cm^2
SA = 216 cm^2
Answer:
P=3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−2=5p+3p−8−6p
−2=5p+3p+−8+−6p
−2=(5p+3p+−6p)+(−8)(Combine Like Terms)
−2=2p+−8
−2=2p−8
Step 2: Flip the equation.
2p−8=−2
Step 3: Add 8 to both sides.
2p−8+8=−2+8
2p=6
Step 4: Divide both sides by 2.
2p2=62
p=3
Step-by-step explanation:
In triangle,
<u> XYZ</u> <u>PYZ</u>
XZ = PZ = 12cm
XY = PY = 5cm
YZ = YZ (Common side)
<em><u>Hence</u></em><em><u>,</u></em>
As three sides of the two triangles are equal so,
<em><u>Triangle XYZ is congruent to Triangle PYZ by SAS congruence condition </u></em>
We know that the ocean floor has a depth of 247 ft, and we also know that the diver is<span> underwater at depth of 138 ft, so its distance from the ocean floor will be:
</span>
ft
<span>
Now, the </span>rock formations rises to a peak 171 to above the ocean floor, so to find <span>how many feet below the top of the rock formations is the diver, we are going to subtract the distance to the driver form the ocean floor from the rock formations height:
</span>
ft
<span>
We can conclude that the diver is 62 feet </span><span>
below the top of the rock formations.</span>
