Answer:
n = -3
Step-by-step explanation:
The difference of the square of a number and 24 is equal to 5 times that number. Find the negative solution.
I'm going to call the number "n."
n² - 24 = 5n subtract 5n from both sides to get the equation equal to zero
- 5n -5n
n² - 5n - 24 = 0 factor the trinomial into the multiplicatin of two binomials
we need factors (numbers that multiply) to -24 that add up to
-5. The only factors for -24 that will add up to -5 are -8 and 3.
(n-8)(n+3) = 0 set each binomial equal to zero and solve for n
n-8 = 0 or n+3 = 0
+8 +8 -3 -3
n = 8 or n = -3 n = -3 is the negative solution
Answer:
The volume of the regular tetrahedron is 283.5 m³
Step-by-step explanation:
The formula of the volume of the regular tetrahedron is V = 
A h, where
∵ The area of the base of a regular tetrahedron is 98.9 m²
∴ A = 98.9 m²
∵ The height of it is 8.6 m
∴ h = 8.6 m
→ Substitute them in the formula of the volume above
∵ V = (98.9)(8.6)
∴ V = 283.5133333 m³
→ Round it to the nearest tenth of a cubic meters
∴ V = 283.5 m³
∴ The volume of the regular tetrahedron is 283.5 m³
Answer:
<u>Tabatha needs 25 feet of additional feet of pink ribbon to complete all the hair bows.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Amount of pink ribbon Tabatha has = 3 1/3 yards
Amount of pink ribbon Tabatha needs to make all the hair bows = 35 feet
2. How many more feet of ribbon will Tabatha need to complete all the hair bows?
1 yard = 3 feet
3 1/3 yards = 10 feet
Additional feet of pink ribbon Tabatha needs = Amount of pink ribbon Tabatha needs to make all the hair bows - Amount of pink ribbon Tabatha has
Additional feet of pink ribbon Tabatha needs = 35 - 10
<u>Additional feet of pink ribbon Tabatha needs = 25 feet</u>
Answer:
1:5
Step-by-step explanation:
For this problem, you just have to evaluate the proportion of the length of the sides between triangles nmo and kml.
So LM = 12, which corresponds to OM = 60 (12 X 5 = 60)
KM = 10, which corresponds to NM = 50 (10 X 5 = 50)
Answer:
Step-by-step explanation:
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