Answer:
11x + 4d
Step-by-step explanation:
8x + 9d + 3x -5d
To simplify this we have to group them by their like terms i.e.
= 8x + 3x + 9d - 5d
= 11x + 4d
Mark brainliest
Answer: the y-coordinate that completes the point is 5.
Explanation:
An ordered pair (x, y) indicates the x-and-y coordinates of a general point, where x is the input value of a function and y is the output value.
The output value is y = f(x) and must be found applying the rule (function) to the given input value.
In this case the rulte is f(x) = - 3x + 2, and the input value, x, is - 1 (the first value of the ordered pair).
This is the mathematical procedure:
- x = - 1
- f(x) = f (-1) = -3 (-1) + 2 = 3 + 2 = 5.
Answer:
RS/VU=ST/UT and ∠S≅∠U
Step-by-step explanation:
we know that
The <u>Side-Angle-Side Similarity Theorem </u>states that: If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar
In this problem the included angle is
∠S≅∠U
therefore
side RS must be proportional to side VU and side ST must be proportional to side UT
so
RS/VU=ST/UT
<em>Verify</em>
substitute the given values
12/6=16/8
2=2 -----> is true
therefore
The two sides are proportional
Answer:
A = 0.785m²
B = 31400cm²
C = 7850cm²
D = 785,000mm²
Step-by-step explanation:
To solve this question, we'll have to find the area of a circle which is
Area of a circle = πr²
1. The diameter of the circle = 1m
Area of a circle = πr²
r = radius of the circle
π = 3.14
Radius = diameter / 2
Radius = 1 / 2 = 0.5m
Area = 3.14 × (0.5)²
Area = 3.14 × 0.25
Area = 0.785m²
2. Radius = 100cm
Area of a circle = πr²
Area = 3.14 × (100)²
Area = 3.14 × 10000
Area = 31400cm²
3. Diameter = 100cm
Area = πr²
Radius = diameter / 2
Radius = 100 / 2
Radius = 50cm
Area = πr²
Area = 3.14 × (50)²
Area = 3.14 × 2500
Area = 7850cm²
4. Radius = 500mm
Area = πr²
Area = 3.14 × (500)²
Area = 3.14 × 250,000
Area = 785,000mm²
Answer:
Hence,
The measure of ∠A is 60.065°
Step-by-step explanation:
Given:
ΔABC is a Right Angle Triangle at ∠ B = 90°
BC = Opposite side to ∠A = 13 unit
AC = Hypotenuse = 15 unit
To Find:
m∠A = ?
Solution:
In Right Angle Triangle ABC ,Sine Identity,
Substituting the values we get
Hence,
The measure of ∠A is 60.065°
