Answer:
<em>There were 204 ladies and 136 gentlemen in the conference</em>
Step-by-step explanation:
Let's set the variables:
L = number of ladies in the conference
G = number of gentlemen in the conference
We know 340 people participated in the conference, thus:
L + G = 340 [1]
We are also given the ratio of ladies and gentleman as 3:2, thus:
L/G = 3/2
Cross-multiplying:
2L = 3G [2]
From [1]:
L = 340 - G
Substituting in [2]:
2(340 - G) = 3G
Operating:
680 - 2G = 3G
5G = 680
G = 680/5 = 136
G = 136
L = 340 - 136 = 204
L = 204
There were 204 ladies and 136 gentlemen in the conference
<h2>
Answer:</h2>
A) every diameter
<em>The center of a circle lies on </em><em>every diameter.</em>
<h2>
Explanation:</h2>
B) The circle: A circle is a two-dimensional shape where all points are the same distance from the center. So this definition doesn't match the definition of the center of the circle. The center is just a point not several ones.
C) A tangent line: obviously this definition is false. A tangent line is a line not a point.
D) Every chord: A chord is any line segment between two points on a circle. The only chord that passes through is the diameter. So this definition does not include all the chords of a circle
A) Every diameter: This is the correct option! A diameter is any chord that <em>passes through the center</em>.
Answer:
25
Step-by-step explanation:
3877 divided by 36 is 107.69. That means each person could get 107 masks (always round down in these problems)
36 time 107 is 3852, and 3877 minus 3852 is 25. This is how many will be left over.
Answer:
6 18/12 OR simplified 1 6/12
Step-by-step explanation:
1 1/4 + 5 5/6=
1 + 5 = 6
5/6 + 1/4
Mulitipy fraction by 3 and 2
15/12 + 3/12 = 18/12
18/12 = 1 6/12
Answer:
BC = 1.71
Step-by-step explanation:
well to start we have to know the relationship between angles, legs and the hypotenuse in a right triangle
α = 70°
a: adjacent = BC
h: hypotenuse = 5
sin α = o/h
cos α= a/h
tan α = o/a
we see that it has (angle, adjacent, hypotenuse)
we look at which meets those data between the sine, cosine and tangent
is the cosine
cos α = a/h
Now we replace the values and solve
cos 70 = a/5
0.34202 = a/5
0.34202 * 5 = a
1.7101 = a
round to the neares hundredth
a = 1.7101 = 1.71
BC = 1.71
