<em>312 ft²</em>
- Step-by-step explanation:
<em>3 rectangles
</em>
<em>2 triangles</em>
<em>4 yd = 12 ft</em>
<em>A = 4ft×12ft + 8ft×12ft + 10ft×12ft + 2×6ft×8ft/2</em>
<em>= 48ft² + 96ft² + 120ft² + 48ft²</em>
<em>= 312 ft²</em>
Answer:
The measure of angle θ is 7π/6. The measure of its reference angle is <u>210°</u>
and sin θ is <u>-1/2</u>.
Step-by-step explanation:
The correct question is:
<em>The measure of angle θ is 7π/6. The measure of its reference angle is ___</em>
<em>and sin θ is ___</em>
180° is equivalent to π radians. To transform 7π/6 radians to degrees, we have to use the following proportion:
180° / π radians = x° / (7π/6 radians)
x = (180/π) * (7π/6 radians)
x = 210°
And sin(210°) = -1/2
Answer:
11.25
Step-by-step explanation:
13.79-x
Let x= 2.54
13.79-2.54
11.25
Answer:
50 grams
Step-by-step explanation:
From the above question:
Chicken : Turkey
= 4:1
Sum Proportions = 4 + 1 = 5
We have to find the weight in grams of the entire pie
Let us represent the weight in grams of the entire pie = x.
The pie contains 200g of Chicken.
Hence:
4/5 × x = 200g
4x/5 = 200g
Cross Multiply
4x = 200g × 5
x = 200g × 5/4
x = 250g
The amount turkey that is in the pie is calculated as:
Total weight of pie - Amount of Chicken in the pie
= 250g - 200g
= 50 g
The equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
Based on the calculations, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5²
The equation of a circle.
Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center.
r is the radius of a circle.
The midpoint of the given points represents the center of this circle:
h = (4 + 4)/2 = 4
k = (5.5 + 10.5)/2 = 8
Next, we would determine the radius by using the distance formula for coordinates:
r = √[(x₂ - x₁)² + (y₂ - y₁)²]
r = √[(4 - 4)² + (10.5 - 5.5)²]
r = √[0² + 5²]
r = √25
r = 5 units.
Therefore, the equation of this circle in standard form is equal to (x - 4)² + (y - 8)² = 5².
Learn more about circle here: brainly.com/question/12823137
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