Answer:
98
i hope this helps! :)
Step-by-step explanation:
given 7 * 14 = ?
multiply 14 by 7 14 * 7 = 98
98
Cos60° = 0.5
Any angle less than 90° is an acute angle.
Therefore, 60° is the acute angle.
<h3>
Answer: 36 square units</h3>
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Explanation:
Draw a horizontal line to cut the figure into a rectangle on top and a triangle down below.
The rectangle has length and width of 6 and 4 (horizontal and vertical components respectively). The area of this rectangle is 6*4 = 24 square units.
The triangle has a base of 6 and a height of 4. The base and height of any triangle are always perpendicular.
The area of the triangle is base*height/2 = 6*4/2 = 24/2 = 12 square units. If you were to cut out half of the triangle and rearrange things, you'll find that a rectangle can be formed. This rectangle is half in area that of the first rectangle we found. This is why we divide by 2 when finding the area of the triangle.
Once you know the two sub-areas, we add them up to get the overall area: 24+12 = 36 square units.
Answer: The answer is ∠TUV.
Step-by-step explanation: Given in the question a quadrilateral SVUT with ∠SVU = 112°. We need to determine the angle whose measure will decide whether or not the quadrilateral SVUT is a trapezoid.
We know that for a quadrilateral to be a trapezoid, we need only one condition that one pair of opposite sides must be parallel.
So, in quadrilateral SVUT, since the measure of ∠SVU is given, so we can decide it is a trapezoid or not if we know the measure of ∠TUV. As ST and UV cannot be parallel, so its meaningless to determine ∠TSV.
For SV and TU to be parallel to each other, we need
∠SVU + ∠TUV = 180° (sum of interior alternate angles).
Therefore,
∠TUV = 180° - 112° = 68°.
Thus, we need to determine ∠TUV and its measure shoul be 68°.
Answer:
GCF(15a; 28b²) = 1