Answer: The average of the first two test scores is 97.
Step-by-step explanation: Given that Kristie has taken five tests in science class. The average of all five of Kristie's test scores is 94 and the average of her last three test scores is 92.
We are to find the average score of her first two tests.
Let a1, a2, a3, a4 and a5 be teh scores of Kristle in first , second, third, fourth and fifth tests respectively.
Then, according to the given information, we have
and
Subtracting equation (ii) from equation (i), we get
Thus, the average of the first two test scores is 97.
Answer:
The length of the model is 6 inches.
Step-by-step explanation:
The wingspan of the airplane and length of the airplane are a ratio of 4:3
The model is also supposed to be 4:3.
4:3 x 2 = 8:6
Or, 20x12=240
240/8=30
15x12=180
180/30=6.
ANSWER
The length of a Diameter is 3.714
EXPLANATION
The circumscribed triangle is shown in the attachment.
We use the cosine ratio to find the altitude of the isosceles triangle.
Altitude =8cos(60°)
Altitude=4cm
Let the upper half of the altitude be y cm.
Then the radius of the circle is (y-4)cm
The upper radius meets the tangent at right angles.
From the smaller right triangle,
y=1.857
The diameter is 2y
=2(1.875)
The length of a Diameter is 3.714
Two 2 1/3 + 2 1/3 = 4 2/3
8/1 - 4 2/3 =
14/3 - 8/1 = 6/2
Answer:
1)An angle bisector is basically the division of an angle into two equal parts, so you should just draw a line in the middle after you found the angles using the compass
2) parallel lines is a pair of lines that never intersect, and are always the same distance apart. you should use the compass to draw a 90-degree angle at the end of the line XY, and use the straightedge to draw a line that is parallel to the line XY.
