I found an image that corresponds to the above question.
The shape was a rectangle. Its width is 7 units, its length is x.
The shaded area of the rectangle forms a trapezoid.
Area of a trapezoid = [(a+b)/2] * h
63 sq. units = (7+x)/2 * 7
63/7 = (7+x)/2
9 = (7+x)/2
9*2 = 7 + x
18 = 7 + x
18 - 7 = x
11 = x
The value of x is 11 units. It is the length of the rectangle.
Area of the trapezoid = (a+b)/2 * h
63 = (7+11)/2 * 7
63 = 18/2 * 7
63 = 9 * 7
63 = 63
answer is 25
Step-by-step explanation:
for something like this you need to use the law of sins. First identify all the angles. There is a 90 degree angle and a 59 degree angle and those are clear. the missing angle is = 59 + 90 = 149
since a triangle has 180 degrees in total you say 180 - 149 = 31. the missing angle is 31 degrees. so we give the angles names. angle with 59 degrees will be angle A, 90 will be B and 31 will be C. So now we just give the sides names. let's replace that x with an a since it's across angle A. the side along angle B will be named b and the side along angle C will be named c. so you say:
Sin A/ a (sin A over a) = Sin B/b = Sin C/c
Sin A is what we are looking for so we say
59 degrees over/ x = sin 31 degrees/ 13 (we leave out the 90 degrees since we don't know the side and also we are not interested in it)
now we do cross multiplying.
say x ×sin 31 degrees = 13× sin 59
now divide these by sin 31
x = 13 × sin 59 ÷ 31 = 25
Answer:
95 degrees.
Step-by-step explanation:
Their sum is 180. You will subtract 85 to get the other half of the whole.
180 - 85 = 95
The other angle is 95 degrees.
Answer:
it means that the roots of the quadratic equation is real and distinct and that means that 40 is a positive value
Answer:
She can make 1.6 batches
Step-by-step explanation:
24/15 = 1.6
