Answer:
-101
Step-by-step explanation:
5ac - 26
5 × -3 × 5 - 26 (since a = -3 & c = 5, you substitute them)
-15 × 5 - 26
- 75 - 26
- 101
I hope this is helpful.
Answer:
0.25
Step-by-step explanation:
complete question:
Bart found 20 quadrilaterals in his classroom. He made a Venn diagram using the properties of the quadrilaterals, comparing those with four equal side lengths (E) and those with four right angles (R).
See attachment for the figure.
SOLUTION:
At Venn diagram there are 4 parts (20 pieces):
-> blue colored - quadrilaterals having four equal side lengths (3 pieces)
-> orange colored - quadrilaterals with four right angles (6 pieces)
-> blue and orange colored - quadrilaterals with four right angles and with four equal side lengths (2 pieces)
-> white colored - quadrilaterals without previous two properties (9 pieces).
Considering events:
A -> a randomly chosen quadrilateral has four right angles;
B -> a randomly chosen quadrilateral has four equal side lengths;
By using formula :
in order to find probability that a randomly selected quadrilateral with 4 right angles also has four equal side lengths:

See the attached figure.
<span>ad is a diameter of the circle with center p
</span>
∵ pd = radius = 7 ⇒⇒⇒ ∴ ad = 2 * radius = 2 * 7 = 14
∵ ae = 4 ⇒⇒⇒ ∴ ed = ad - ae = 14 - 4 = 10
∵ ad is a diameter
Δ acd is a triangle drawn in a half circle
∴ Δ acd is a right triangle at c
∵ bc ⊥ ad at point e
By applying euclid's theorem inside Δ acd
∴ ce² = ae * ed
∴ ce² = 4 * 10 = 40
∴ ce = √40 = 2√10 ≈ 6.325
Approximately 0.67 of a cup of sugar is needed. Let me know if this isn't right.
Answer:
use two points given or use rise over run