Complete question :
Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m3 of fluffy material, with base 0.5 m and height 1m
What is the length of the pillow?
Answer:
1.4 m
Step-by-step explanation:
The volume of wedge is given by:
V = Area of triangle * length
Area of triangle = 1/2 * base * height
Volume of wedge = 1/2 * base * height * length
Volume of wedge = 0.35m³
0.35 = 0.5 * 0.5 * 1 * length
0.35 = 0.25 * length
Length = 0.35 / 0.25
Length = 1.4 m
Answer:
<h2><em>
38°, 66° and 76°</em></h2>
Step-by-step explanation:
A triangle consists of 3 angles and sides. The sum of the angles in a triangle is 180°. Let the angle be <A, <B and <C.
<A + <B + <C = 180° ...... 1
If the measure of one angle is twice the measure of a second angle then
<A = 2<B ...... 2
Also if the third angle measures 3 times the second angle decreased by 48, this is expressed as <C = 3<B-48............ 3
Substituting equations 2 and 3 into 1 will give;
(2<B) + <B + (3<B-48) = 180°
6<B- 48 = 180°
add 48 to both sides
6<B-48+48 = 180+48
6<B = 228
<B = 228/6
<B =38°
To get the other angles of the triangle;
Since <A = 2<B from equation 2;
<A = 2(38)
<A = 76°
Also <C = 3<B-48 from equation 3;
<C = 3(38)-48
<C = 114-48
<C = 66°
<em>Hence the measures of the angles of the triangle are 38°, 66° and 76°</em>
In a triangle, the midsegment is parallel to and half of non-intersecting side.
Answer:
(6, 6)
Step-by-step explanation:
Each grid square is 2 units. 10 units up from point P is 5 grid squares up, or 3 grid squares above the x-axis. The x-coordinate remains the same (6), and the y-coordinate is the one labeling the 3rd line above the x-axis: 6.
The coordinates of point S are (6, 6).
Answer:
(2+3)
Step-by-step explanation:
