A shape is made of 12 right triangles of equal size. Each right triangle has a base of 4 cm and a height of 5 cm. What is the total area, in square centimeters, of the shape?
Answers
Answer:
The total area of the shape is
Step-by-step explanation:
step 1
Find the area of one right triangle
The area of a triangle is equal to
we have
substitute
step 2
To find the total area of the shape multiply the area of one triangle by 12
so
Answer:
120 cm
Step-by-step explanation
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Alicia watched a drone take off from a bridge. The height of the drone (in meters above the ground) t minutesafter takeoff is modeled by h(t) = -3t2 + 12t +96 Alicia wants to know when the drone will land on the ground. 1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation h(t) = 2) How many minutes after takeoff does the drone land on the ground? minutes
33 1/3 percent of 600
The width of a rectangular pool is 5 meters longer than the length. The perimeter of the pool is 58 meters. Use and equation to find the pools length.
The question below refers to the selection “The Tyger from Songs of Experience” by William Blake.In “The Tyger” the stars probably symbolize —a. the tigerc. fellow poetsb. angelsd. humankind
Answers
Answers
y=1/4(x-1)²+4
the parabola y=1/4x2 with vertex at the point (1;4),the branches up,x=1 is the axis of symmetry intersects the axis of the OY at the point (0;4 1/4)
y - 4 = ¹/₄(x - 1)(x - 1)
y - 4 = ¹/₄(x² - x - x + 1)
y - 4 = ¹/₄(x² - 2x + 1)
y - 4 = ¹/₄(x²) - ¹/₄(2x) + ¹/₄(1)
y - 4 = ¹/₄x² - ¹/₂x + ¹/₄
+ 4 + 4
y = ¹/₄x² - ¹/₂x + 4¹/₄
¹/₄x² - ¹/₄x + 4¹/₄ = 0
x = -(-¹/₄) +/- √(-¹/₄)² - 4(¹/₄)(4¹/₄))
2(¹/₄)
x = ¹/₄ +/- √(¹/₁₆ - 4¹/₄)
¹/₂
x = ¹/₄ +/- √(4³/₁₆)
¹/₂
x = ¹/₄ +/- 2.046
¹/₂
x = ¹/₂ + 4.092
x = ¹/₂ + 4.092 x = ¹/₂ - 4.092
x = 4.592 x = 3.592
Answers
How much water does Andrew save each day with the change in showerheads if he uses the shower for 8 minutes each day?
5 gallons
16 gallons
24 gallons
40 gallons
Answers
D) 40 gallons
Answer:
40 gallons
Step-by-step explanation:
OLD SHOWERHEAD
y=8x
y=8(8)
y=64
NEW SHOWERHEAD
y=3x
y=3(8)
y=24
64-24=40
Hope it helps!!!!
BTW it was correct in the test!
Answers
Answer:
x=6
Step-by-step explanation:
3x=14+4
x=18/3
i.e x = 6
B: –3a^2 + 11a + 5
C: 3a^2 + 11a + 5
D: –3a^2 + 11a – 5
Answers
Answer: B = –3a^2 + 11a + 5
For difference, the answer is
-3a^2 -5a -5
Step-by-step explanation:
(3a – 3a^2) + (5 + 8a)
To find the sum or difference, we will open the brackets.
To look for l the sum, we add
3a – 3a^2 + 5 + 8a
Collecting like terms,
= -3a^2 +8a + 3a +5
= -3a^2 + 11a + 5
Option B is the right answer.
To look for the difference, we subtract.
(3a – 3a^2) - (5 + 8a)
Opening the brackets
3a – 3a^2 - 5 - 8a
Collecting like terms
-3a^2 + 3a -8a -5
= -3a^2 -5a -5
The options available corresponds only to what we got for the sum, so
-3a^2 + 11a + 5 is the answer
Answer: B. -3a^2 + 11a + 5
1.) Remove parentheses.
3a−3a^2 +5+8a
2.) Collect Like Terms.
(3a+8a) - 3a^2+5
3.) Simplify.
11a - 3a^2+5