Answer:
AB = BC = AC = 15
Step-by-step explanation:
Since the triangle is equilateral then the 3 sides are congruent.
Equate any 2 sides and solve for x , that is
AC = AB , so
11x - 7 = 6x + 3 ( subtract 6x from both sides )
5x - 7 = 3 ( add 7 to both sides )
5x = 10 ( divide both sides by 5 )
x = 2
Then
AC = 11x - 7 = 11(2) - 7 = 22 - 7 = 15 , thus
AB = BC = AC = 15
Answer:
1. 17.8 cm
2. 32.0 cm
3. 15.9 m
Step-by-step explanation:
1. Determination of the length of the arc.
Radius (r) = 6 cm
Angle at the centre (θ) = 170°
Pi (π) = 3.14
Length of arc (L) = ?
L = θ/360 × 2πr
L = 170/360 × 2 × 3.14 × 6
L = 17/36 × 37.68
L = 17.8 cm
2. Determination of the length of the arc.
Diameter (d) = 13 cm
Angle at the centre (θ) = 282°
Pi (π) = 3.14
Length of arc (L) = ?
Next, we shall determine the radius. This can be obtained as follow:
Diameter (d) = 13 cm
Radius (r) =?
r = d/2
r = 13/2
r = 6.5 cm
Finally, we shall determine the length of the arc. This can be obtained as follow:
Radius (r) = 6.5 cm
Angle at the centre (θ) = 282°
Pi (π) = 3.14
Length of arc (L) = ?
L = θ/360 × 2πr
L = 282/360 × 2 × 3.14 × 6.5
L = 282/360 × 40.82
L = 32.0 cm
3. Determination of the length of the arc.
Radius (r) = 11 m
Angle at the centre (θ) = 83°
Pi (π) = 3.14
Length of arc (L) = ?
L = θ/360 × 2πr
L = 83/360 × 2 × 3.14 × 11
L = 83/360 × 69.08
L = 15.9 m
By rewriting the linear function we will see that the correct option is A.
"an increasing line that passes through (0, 4)"
<h3>
</h3><h3>
Which statement describes the graph?</h3>
Here we have the linear function:
2y = 4x + 8
We can rewrite it to get the function in the slope-intercept form:
y = (4x + 8)/2
y = 2x + 4.
So, the slope is positive, this implies that we will have an increasing line.
We also can see that the y-intecept is 4, this means that the line passes through the point (0, 4).
From that, we can conclude that the correct option is A.
If you want to learn more about linear functions, you can read:
brainly.com/question/4025726
Answer:
x = - 11
Step-by-step explanation:
Given
5x + 2 = 4x - 9 ( subtract 4x from both sides )
x + 2 = - 9 ( subtract 2 from both sides )
x = - 11
Answer:
a) 0.997 is the probability that the breaking strength is at least 772 newtons.
b) 0.974 is the probability that this material has a breaking strength of at least 772 but not more than 820
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 800 newtons
Standard Deviation, σ = 10 newtons
We are given that the distribution of breaking strength is a bell shaped distribution that is a normal distribution.
Formula:
a) P( breaking strength of at least 772 newtons)
Calculation the value from standard normal z table, we have,
0.997 is the probability that the breaking strength is at least 772 newtons.
b) P( breaking strength of at least 772 but not more than 820)
0.974 is the probability that this material has a breaking strength of at least 772 but not more than 820.