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Klio2033 [76]
2 years ago
13

The price of a cup of coffee was 2.40 yesterday. Today, the price rose to

Mathematics
1 answer:
harina [27]2 years ago
6 0

Answer:

≈ 14.6%

Step-by-step explanation:

percentage increase is calculated as

\frac{increase}{original} × 100%

increase = 2.75 - 2.40 = 0.35 , then

percentage increase = \frac{0.35}{2.40} × 100% ≈ 14.6% ( to the nearest tenth )

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What is the value of b
n200080 [17]

Angle = 68⁰ is an inscribed angles, this angle equal 68⁰,

so it intersect arc = 2*68⁰= 136⁰.

Arc of the whole circle (circumference) =360⁰,and it also =b+104+136.

b+104+136 =360

b=360-(104+136) = 120⁰

Answer A. b=120⁰.

7 0
4 years ago
find the equation of a straight line passing through the point(4,5) and equally inclined to the lines 3x = 4y +7 and 5y= 12x +6
galina1969 [7]
<span>First we have to determine the slope of each lines by transforming to the slope-intercept form:

y=(3x-7/)4; m2= ¾y=(12x+6)/5, m3 = 12/5

The formula to be used in the proceeding steps is    a=tan^-1(m1-m2)/1+m1m2=tan^-1(m1-m2)/1+m1m2
substituting,      a=tan^-1(m1-3/4)/1+3m1/4=tan^-1(m1-12/5)1+12m1/5)     =>(4m1-3)/(4+3m1)=(5m1-12)/(5+12m1)m1 = -1applying this slope 

y -y1 = m(x-x1)
when y1 = 5 and x1 = 4 then,
y - 5 = -1(x-4)
y = -x +4+ 5 ; y = -x +9</span>
3 0
4 years ago
Describe what happens when two intersecting lines form a linear pair of congruent angles. Explain how you can get eight congruen
Charra [1.4K]
The angles diagonally opposite each other are congruent while those adjacent to each other add up to 180 degrees. You can get eight congruent angles with a transversal if the two lines are parallel, because each angle would be 90.
6 0
3 years ago
The speed of light is approximately 299,000,000 meters per second.
jek_recluse [69]

Answer:

2.99 x 10⁸ meters per second

Step-by-step explanation:

Scientific notation (also called "Standard form") is written in the form of a \times 10^n, where  1\leq a < 10  and  n is any positive or negative whole number.

To <u>convert</u> a number into <u>scientific notation</u>, move the decimal point to the left or right until there is <u>one digit before the decimal point.</u>

The number of times you have moved the decimal point is the power of 10 (n).

If the decimal point has moved to the <u>left</u>, the power is <u>positive</u>.

If the decimal point has moved to the <u>right</u>, the power is <u>negative</u>.

<u>To convert the given number to scientific notation</u>

The decimal point for the given number 299000000 is after the last zero:

⇒  299000000.

Move the decimal point 8 places to the left:  

⇒ 2.99000000

Get rid of the redundant zeros:

⇒ 2.99

Multiply by 10 to the power of the number of decimal places moved:  

⇒ 2.99 x 10⁸

Therefore, the speed of light using scientific notation is:

  • 2.99 x 10⁸ meters per second
7 0
2 years ago
Tom is 45 and pays $2042 on his mortgage each month while his total take home pay is $5950 per month. The national average, for
Scrat [10]
Take the amount that he pays for his mortgage, so $2042, and divide that by his total pay, $5950. You’ll get .34016907. Then to make a decimal into a percentage, you multiply it by 100. This gives you 34%, meaning he spends less than the national average on housing.
6 0
3 years ago
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