In geometry, complementary angles are two angles whose measures add up to 90 degrees. A pair of adjacent complementary angles could be 30 degrees and 60 degrees.
Explanation:In geometry, complementary angles are two angles whose measures add up to 90 degrees. For example, if one angle measures 30 degrees, the other angle measures 60 degrees because 30 + 60 = 90. So, a pair of adjacent complementary angles could be 30 degrees and 60 degrees.
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A restaurant charges an automatic gratuity of 18% on tables with more than 6 people. A party of 8 had a bill of p. Which expression can be used to find the total cost of the meal with the gratuity?
Answer: the answer is 1.18p
Step-by-step explanation:
It is trust me (;
The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of 3 cm/s. when the length is 20 cm and the width is 10cm, how fast is the area of the rectangle increasing
A right triangle has one angle that mesures 23. The adjacent leg measures 27.6 cm and the hypotenuse measures 30cm.
What is the approximate area of triangle? Round to the nearest tenth
Area of the triangle =1/2bh
A:68.7cm^2
B.161.7cm^2
c.381.3cm^2
D450.cm^2
One number is 4 less than a second number. twice the second number is 19 less than 5 times the first. find the two numbers.
write in graphing form please! A parabola that opens down with no stretch factor that has a vertex of (-6,5)
Simplify 4x2(2x2− 8x + 6). 8x2− 32x + 24 6x2− 32x + 24 6 − 32x + 24x2 8x4− 32x3+ 24x2
Sandy bought a soft drink for 2 dollars and 6 candy bars. she spent a total of 20 dollars. how much did each candy bar cost
Find f(x) and g(x) so that the function can be described as y = f(g(x)).
y = eight divided by x squared + 2
What is the best approximation for the measure of angle ABC?
A bouncing ball reaches a height of 27 feet at its first peak, 18 feet at its second peak, and 12 feet at its third peak. Describe how a sequence can be used to determine the height of the ball when it reaches its fourth peak.
Square tiles 9-inches on a side cover the floor of a rectangular room exactly. the border tiles are white and all other tiles are blue. the room measures 18 feet by 15 feet. how many tiles are white
How to write three times the difference of two times m and five is equal to eight times m to the second power increased by four in a problem?
Se implicit differentiation to find an equation of the tangent line to the curve at the given point.7x2 + xy + 7y2 = 15, (1, 1) (ellipse)
PLEASE HELP!!! Will give brainliest!
1) Which statement about 5y = 2x is true?
A) The equation represents a direction variation whose consent of variations is 5/2.
B) The equation represents a direct variation whose consent of variations is 2/5.
C) The equation does not represent a direction variation.
D) The equation does not represent a line through the origin.
2) What is the equation of the graph of y = |x| shifted 3 units up?
A) y = |x| – 3
B) y = |x| + 3
C) y = |x + 3|
D) y = |x – 3|
3) Two parallel lines form an inconsistent system of equations that has no solution.
True
or
False
Answer all and Show or Explain your answer :)
The exchange rate is £1 = €1.12 how many £ would I get for €336
What is the slope of this graph?
Consider the equation 2x-3(2x-1)=3-4x. solve the equation for x. for each step, identity the property used to write an equivalent equation.
What is the square root of 53 rounded to the nearest hundreth
A rectangular prism has a length of 3/4 cubic inch and a width of 1/2 inch. The volume is 21/32 cubic inch. Find the height of the prism. Write your answer as a mixed number in simplest form.
Answer:
[tex]\texttt{Height of the prism}=1\frac{3}{4}[/tex]
Step-by-step explanation:
Volume of rectangular prism = Length x Width x Height
[tex]\texttt{Volume of rectangular prism =}\frac{21}{32}\\\\\texttt{Length =}\frac{3}{4}\\\\\texttt{Breadth =}\frac{1}{2}[/tex]
Substituting
[tex]\frac{21}{32}=\frac{3}{4}\times \frac{1}{2}\times h\\\\h=\frac{7}{4}=\frac{4+3}{4}=1\frac{3}{4}[/tex]
[tex]\texttt{Height of the prism}=1\frac{3}{4}[/tex]
True or False: Is the number 2 a solution to 7≥−3k
I'm not sure about this. Please explain
If EG=25 and point F is 2/5 of the way between E and G, find the value FG. The drawing is not to scale.
a. 12.5
b. 10
c. 20
d. 15
d. 7
How many 1/3 pound paperback books together weigh 25 pounds?
We can find the quantity of 1/3 pound paperback books that weigh a total of 25 pounds by performing the calculation, 25 ÷ 1/3 or equivalently, 25 x 3, which equals 75. Therefore, we would need 75 of these books to total 25 pounds.
Explanation:To find out how many 1/3
pound
paperback
books weigh a total of 25 pounds, we use division. Since each book weighs 1/3 of a pound, we divide the total weight we want (25 pounds) by the weight of each individual book (1/3 pound). So, our calculation would look like this:
25 ÷ 1/3
. In mathematics, dividing by a fraction is equivalent to multiplying by its reciprocal. The reciprocal of 1/3 is 3/1, or just 3. So, our calculation is now:
25 x 3
. Multiplying 25 by 3 gives us 75. So, we would need
75
of these paperback books to
weigh
a total of 25 pounds.
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A warehouse is packing materials to ship out to a customer. A small box has the dimensions of x inches, (x+ 2) inches and (2x) inches. Where x is the length in inches of width. A large box has the dimensions of (x+5) inches, (x + 7) inches and (3x) inches.
*Recall that Volume = (Length)(Width)(Height)
Part 1: Write an expression that represents the dimensions of the small box.
Part 2: Write an expression that represents the dimensions of the large box.
Part 3: What is the difference in the volumes of the two boxes? Show or explain or work.
1. The expression that represents the dimensions of the small box is (2x³ + 4x²).
2. The expression that represents the dimensions of the large box is (3x³ + 36x² + 105x).
3. The difference in the volumes of the two boxes is (x³ + 32x² + 105x)
What is the volume of the box?1.
Small box:
x inches,
(x+ 2) inches and
(2x) inches
Volume = length × width × height
= x × (x + 2) × (2x)
= (x² + 2x) × 2x
= 2x³ + 4x²
2.
Large box:
(x+5) inches,
(x + 7) inches and
(3x) inches.
Volume = length × width × height
= (x + 5) × (x + 7) × (3x)
= 3x³ + 36x² + 105x
4.
Difference in volume = Large box - Small box
= (3x³ + 36x² + 105x) - (2x³ + 4x²)
= 3x³ + 36x² + 105x - 2x³ - 4x²
= x³ + 32x² + 105x
Therefore, x³ + 32x² + 105x is the expression which represents the volume of the box.
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Thomas paid $5 for a multicolor file folders. There were 100 folders in the box .what was the cost of each folder?
What is 334.54 + 198 grams
Solve for x: −3 |x + 7| = −12
Leena knits 10 rows in 12 min. At this pace, how long will it take her to knit the next 25 rows? Enter your answer in the box. min
When matter changes state, what two things are always conserved?
In a change of state, mass and energy are the two things that are always conserved, in accordance with the law of conservation of matter and the first law of thermodynamics, respectively.
When matter changes state, the two things that are always conserved are mass and energy. This is explained by the law of conservation of matter, which states that the total mass of the products must equal the total mass of the reactants in a chemical reaction, and the law of conservation of energy, often referred to as the first law of thermodynamics.
In any given closed system, neither mass nor energy is created or destroyed, but can be transformed from one form to another. For example, when a substance burns, its matter is not lost but is instead transformed into other substances with the same total mass. Likewise, energy can be moved or transformed, but the total amount of energy remains constant. These principles apply to both living and non-living systems, keeping the total quantity of matter and energy fixed in the universe.
If 3^2x+1=81, what is the value of x?
x=1/4
x=1/2
x=3/2
x=2/3