Answer:
1. A = 40 units²
2. A = 72 units²
3. B) 45
Step-by-step explanation:
1. This shape comprises 4 congruent triangles with base of 5 units and height of 5 units.
Area of a triangle = 1/2 x base x height
Therefore, area of polygon = 4(1/2 x 5 x 4)
= 40 units²
2. This shape comprises two pairs of congruent triangles.
Area of a triangle = 1/2 x base x height
Therefore, area of polygon = 2(1/2 x 2 x 6) + 2(1/2 x 10 x 6)
= 72 units²
3. Count the number of shaded squares:
9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45 units²
Answer:
Colton.
Step-by-step explanation:
Amy: 220% is basically
which in decimal form, is 2.20.
Braden: 100% + 100% + 20% = 220%, so it is accurate.
Colton: 100% + 10% + 10% = 120%, not 220%.
Dainielle: 100% of 75 is 75. Dividing the 100% of 75 by 5 makes a 20%. Adding 100% of 75 twice makes 200%. 200% + 20% = 220%, so it is accurate.
Answer:
yes
Step-by-step explanation:
4:8 and 3:6 when simplified gives the same result which is 1:2
<h3>
Answer:</h3>
sin(Y) = 4/5
<h3>
Step-by-step explanation:</h3>
The sine of one of a pair of complementary angles is equal to the cosine of the other. Given that ∠X and ∠Y are complementary, sin(Y) = cos(X) = 4/5.
_____
You can figure this from SOH CAH TOA, the mnemonic that reminds you of the definitions of the trig functions. The adjacent leg for one of the acute angles in the right triangle is the opposite leg for the other angle.
... Sin = Opposite/Hypotenuse
... Cos = Adjacent/Hypotenuse
Algebra
Use the distributive property to make 5x+5.
5x+5<25
Subtract 5 from both sides.
5x<20
Divide both sides by five.
x<4