A rectangular heptagon is measuring 26 mm and is divided by 7 congruent triangles. Each triangle has a height of 27 mm. What is the area of the heptagon?

2,457 mm^2

Step-by-step explanation:

The dimensions of each of the triangles in terms of their bases and heights will be;

26 mm by 27 mm

Mathematically, the area of one of the triangles will be ;

1/2 * base * height

= 1/2 * 26 * 27 = 351 mm^2

So the area of the heptagon is the sum of the areas of all of the triangles

mathematically, that would be;

351 * 7 = 2,457 mm^2

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation:

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47