Answer:
The radius of the pie is 6.17 in.
Step-by-step explanation:
The formula for arc length as a function of radius is
s = r·Ф, where Ф is the central angle in radians.
Here we know that the arc length is 7.85 in. Assuming that the whole pie has been cut into 8 equal pieces, the central angle of one such piece is
2π / 8, or π /4 (radians).
thus, s = r·Ф, solved for r, is r = s/Ф
and in this instance r = (7.85 in)/(π/4). Evaluating this, we get:
r = 6.17 in
The radius of the pie is 6.17 in.
Answer:14
Step-by-step explanation:
x+y=56
x:y=5:3
Sum of ratio=5+3
Sum of ratio=8
x=5/8x56
x=(5x56) ➗ 8
x=280 ➗ 8
x=35
y=3/8x56
y=(3x56) ➗ 8
y=168 ➗ 8
y=21
x-y
35-21=14
x-y=14
Answer: j=0.4
-j+0.8=-0.9j+0.76
-j+0.8+0.9j=-0.9+0.76+0.9j
-0.1j+0.8=0.76
-0.1+0.8-0.8=0.76-0.8
-0.1j=-0.04
-0.1j/-0.1=-0.04/-0.1
j=0.4
Ya have a good day.
Answer:
C
Step-by-step explanation:
Step 1: find BC
Given Triangles ABC and ADE are similar,
= 
BC = x DE
= 
x 9
= 6 cm
Step 2: use Pythagorean theorem to find AC and / or AE
Consider triangle ABC,
by Pythagorean theorem,
AB² + BC² = AC²
AC² = 6² + 8² = 100
AC = √100 = 10 (answer... we can see that C is the only one with AC=10.
Step 3: Verify.. even though we know that it is C because AC = 10, you can verify that the ansewer is correct by finding CE and confirming that CE=5
By using similar triangles ABC and ADE,
AC/AE = AB / AD
AE = AD/AB x AC = 12/8 x 10 = 15
CE = AE - AC = 15 - 10 = 5 (answer confirmed)
The appropriate measure of central tendency is one that shows
difference and is suitable for a scale that is nominal.
Response:
- The measure of central tendency to use is the <u>mode</u>.
<h3>How can the appropriate measure of central tendency be selected?</h3>
The mean is the sum of the measurements divided by the number count
of the plants.
The mode is the measurement that has the highest frequency.
The median is the measurement of the middle plant when arranged in a
given order according to size.
To argue that there is a difference between the plants, the measure of
central tendency to use is the mode, given that the data involves
measurements which can be expressed in a nominal scale.
Therefore;
- The measure of central tendency that will be best for Mrs. Hull to use is the<u> mode</u>
Learn more about the measures of central tendencies here:
brainly.com/question/1027437
