Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x + 1 ← is in slope- intercept form
with c = 1, thus
(0, 1) ← is the y- intercept
The required hours is 20 hours, where both companies cost the same.
Given that,
The painting company charges $250 base plus $16 per hour. Another painting company charges $210 base plus $18 per hour. How long is a job for which the two companies costs are the same is to be detrmined
Cost price is the price for the buyer pays to the seller for an object or product.
Here,
let the total cost for both the companies be y and the painting hour is x.
The painting company charges $250 base plus $16 per hour.
y = 250 + 16x - - - - - (1)
Another painting company charges $210 base plus $18 per hour.
y = 210 + 18x - - - -- - (2)
Solving equation 1 and equation 2.
250 + 16x = 210 + 18x
2x = 40
x = 20
Put this x in equation 1,
y = 250 + 16 * 20
y = 250 + 320
y = 570
Thus, the required hours is 20 hours, where both companies cost the same.
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The arrangement of the measurements from the shortest to longest is:
1 mm, 1 cm, 1 m, 1 km
The given measurements are:
1 cm, 1 m, 1 mm, and 1 km
Convert all the measurements to meters
1 cm = 1/100 m
1 cm = 0.01 m
1 mm = 1/1000 m
1 mm = 0.001 m
1 km = 1 x 1000 m
1 km = 1000 m
By considering the meter equivalents of the measurements given, the arrangement from shortest to longest is:
1 mm, 1 cm, 1 m, 1 km
Learn more on measurements here: brainly.com/question/24580414
Answer:
1mm, 1cm, 1m, 1km
Answer:
Angle A = 98.1°
Angle B = 59.5°
Angle C = 22.4°
Step-by-step explanation:
When given vertices (x1,y1) ,(x2,y2), we would be using the formula:
√(x2 - x1)² + (y2 - y1)²
ABC has vertices A(-1,6), B(2,10) and C(7,-2)
Side AB = A(-1,6), B(2,10)
√(x2 - x1)² + (y2 - y1)²
= √(2-(-1))² + (10 - 6)²
= √(3² + 4²)
= √9+16
= √25
= 5
Side BC = B(2,10), C(7,-2)
√(x2 - x1)² + (y2 - y1)²
√(7-2)² + (-2 - 10)²
= √5² +(-12)²
= √(25 + 144)
= √169
= 13
Side AC = A(-1,6), C(7,-2)
√(x2 - x1)² + (y2 - y1)²
√(7-(-1))² + (-2 - 6)²
= √6² +(-8)²
= √(64 + 64)
= √128
= 11.314
To find the measure of each angle we would be using the cosine rule
Where
a² = b² + c² - 2bc × Cos A
b² = a² + c² - 2ac × Cos B
c² = a² + b² - 2ab × Cos C
Sketching a triangle we find out that
Side AB = c = 5
Side AC = b = 11.314
Side BC = a = 13
Hence
1) for Side BC = a
a² = b² + c² - 2bc × Cos A
Cos A = b² + c² - a²/ 2bc
Cos A = 11.314² + 5² -13²/(2 × 11.313 × 5)
A = arc cos[(11.314² + 5² -13²)/(2 × 11.313 × 5)]
A = 98.13°
To the nearest tenth = 98.1°
2) for Side AC = b
b² = a² + c² - 2ac × Cos B
Cos B = a² + c² - b²/ 2ac
Cos B = 13² + 5² - 11.314/2 × 13 × 5
B = arc cos[ (13² + 5² - 11.314)/(2 × 13 × 5)]
B = 59.49°
To the nearest tenth = 59.5°
3) for Side AB = c
c² = a² + b² - 2ab × Cos C
Cos C = a² + b² - c²/ 2ab
Cos C = 13² + 11.314² - 5²/ 2 × 13 × 11.314
C = arc cos[(13² + 11.314² - 5²)/ (2 × 13 × 11.314)]
C = 22.38°
To the nearest tenth = 22.4°
Answer:
It's actually closest to 0