Answer:
Step-by-step explanation:
<u>Sides of the picture added margin:</u>
<u>Solution</u>:
- A(margin) = Total area - A(picture)
- (8 + 2x)(5 + 2x) - 5*8 = 30
- 4x² + 10x + 16x + 40 - 40 - 30 = 0
- 4x² + 26x - 30 = 0
- 2x² + 13x - 15 = 0
- x = (-13 + √(13² + 2*4*15))/4
- x = (-13 + 17)/4
- x = 1 cm
Note. The other root is ignored as negative.
Answer:
1,000
Step-by-step explanation:
47 to 0.047 moves 3 places
47, 4.7, 0.47, 0.047
this means that the power of then used should have 3 0's
making the power of ten 1,000
Answer:
D) y = 27 · (3)^x
Step-by-step explanation:
Replace x with the x values.
27 · (3)^-2 = 27 · 1/9 = 3
27 · (3)^-1 = 27 · 1/3 = 9
27 · (3)^0 = 27 · 1 = 27
27 · (3)^1 = 27 · 3 = 81
17 · (3)^2 = 27 · 9 = 243
D is your answer.
Hope this helps
Answer:
degree measure = 360° × percent of data
Step-by-step explanation:
The ratio of the degree measure of a sector of a circle graph to 360° is the same as the ratio of the represented data to the whole amount of data.
The idea of a circle graph is that the area of the sector is proportional to the data being represented. That is, if the data represented is 10% of the whole, then the sector area is 10% of the whole. Sector area is proportional to the degree measure of its central angle, so the example sector would have a central angle of 10% of 360°, or 36°.
The ratio of the central angle of the sector to 360° is the same as the percentage of data that sector represents.
Answer:
D. 50
Step-by-step explanation:
a = 90° (angle subtended in semicircle)
a + c + 40° = 180° (by angle sum postulate of a triangle)
90° + c + 40° = 180°
c + 130° = 180°
c = 180° - 130°
c = 50°
