Pythagorean theorem
in the right angle triangles there is a relationship that governs the length of the three sides. if we knows the length of any two sides, the third side may be calculated by the use of the Pythagorean theorem.
This theorem states that the square on the hypotenuse of a right angled triangle is equal to the sum of the squares on the remaining two sides.
we only use Pythagorean theorem to find the length of the missing side of a right angled triangle only.
Five friends are sharing 7 cups of lemonade. If they share the lemonade equally, how many cups will each friend get?
Answer:
1.4
Step-by-step explanation:
7 ÷ 5 = 1.4 or 7/5 as a fraction
203% of what number is 146.16
Answer:
72
Step-by-step explanation:
Since 203% is 2.03 in decimal form we can write an equation that looks like:
2.03x=146.16 (divide both sides by 2.03)
x=72
Answer:
72
Step-by-step explanation:
Call the unknown number (x), set up a proportion to model the situation;
[tex]\frac{value}{unknown}=\frac{percent}{100}[/tex]
Substitute
[tex]\frac{146.16}{x}=\frac{203}{100}[/tex]
Cross products,
[tex](146.16)(100)=(203)(x)\\\\14616=203x\\[/tex]
Inverse operations,
[tex]14616=203x\\/203\\\\72 = x[/tex]
What is the value of the expression 12.25 + (-17.75)?
Answer:
-5.5
Step-by-step explanation:
Volume of a cone is 48 pi and have a radius of 8 what is the height
Answer:
Step-by-step explanation:
the answer is in the pic open it
hope it help mark me as a brill please
in town 35% of 15 000 voters did not cast vote in election How many people cast their votes?
Let p = number of people that cast their vote.
p = 0.35(15, 000)
p = 5,250
convert 3 hrs 20 min
into fraction
Answer:
Step-by-step explanation:
0.050/0.333
Answer:
3 and 1/3 or 10/3
Step-by-step explanation:
mathhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
interior
Step-by-step explanation:
exterior would be located outside the triangle.(10)
vertex is the point of the connected lines (12)
Fill in the blanks for the expression
Answer:
Step-by-step explanation:
80
A 9-pack of popsicles costs $4.23. What is the unit price?
Answer:
Unit price is $0.47
Step-by-step explanation:
4.23÷9= .47
Solve the inequality:
8+4x≥12
Select one:
x≤1
x≥5
x≥1
x≤5
Answer:
x≥1
Step-by-step explanation:
The graph of f(x) = 2^x + 4 shifts five units to the right when it is replaced with the graph of f(x) = 2^x - k. what is the value of k?
A. 5
B. -1
C. 1
D. 4
==============================================================
Work Shown:
I'm assuming you meant to write [tex]f(x) = 2^{x+4}[/tex] where all of the "x+4" is the exponent.
If we shift f(x) 5 units to the right to end up with g(x), then,
[tex]g(x) = f(x-5)\\\\g(x) = 2^{x-5+4}\\\\g(x) = 2^{x-1}\\\\[/tex]
In the second step, I replaced every copy of x with x-5 so that I could apply the translation of 5 units to the right.
The exponent for g(x) is x-1, which matches up with x-k. We see that k = 1.
Can someone please give me step by step using pemdas I will give I brilliant
Answer: 24
Step-by-step explanation: so you calculate everything in the parenthesis fist so you do (5-1+3) to (4+3) then you do (4+3=7)
so this is how your equation is going to look 10+4÷2×7 then your going to do 4 divied by 2=2 then your going to do 2*7=14 and 14+10=24
STEP ONE- 10+4÷2(4+3)
STEP TWO- 10+4÷2×7
STEP THREE-10+2×7
STEP FOUR-10+14
ANSWER is 24
hope this helps :)
There are 160 adults and 285 children at a zoo. The zoo makes a total of $5,875 from the entrance fees, and the cost of an adult and a child to attend is $25, how much does it cost each for a parent and a child? Let a represent an adult. Let c represent a child. Enter a system of equations to represent the situation, then solve the system. The system of equations is . The adult tickets cost $ and the child tickets cost $ .
Answer:
cbzxnphfgzhohdxhlkvcdtbcdil to m kl nhi aaugi
You are choosing between two different cell phone plans. The first plan charges a rate of 24 cents per
minute. The second plan charges a monthly fee of $39.95 plus 11 cents per minute. How many minutes
would you have to use in a month in order for the second plan to be preferable? Round up to the nearest
whole minute.
minutes
Check Answer
Suppose f(x) = x^2 - 4. Find the graph of f(1/4x)
A triangle has vertices X(2, 1), Y(5, 4), and Z(5, 1). What is the area of the triangle?
Answer:
Step-by-step explanation:
They gave you an easy triangle. You can tell by the coordinates that X and Z are horizontally aligned, and Y and Z are vertically aligned, so Z is a right angle.
Area = 0.5(XZ)(YZ) = 0.5(3)(3) = 4.5 square units.
Match each statement (term) with its value in relation to 0 (definition)
Match
Term
Definition
A building is 35 feet tall.
A) -35
The scuba diver was 35 feet below sea level.
B) 2.3
The basement is 7.6 feet below ground.
C) -23
Oliver owes his sister $23.
D) 35
Erica jumped 2.3 feet above ground.
E) -7.6
Find the slope of the line.
Mr Watkins needs to buy some oil for his central heating, Mr
Watkins can put up to 1200 litres of oil in his oil tank. There is
already 650 litres of oil in the tank. Mr Watkins is going to fill the
tank with oil. The price of oil is 70p per litre. Mr Watkins gets 5%
off the price of the oil. How much does Mr Watkins pay for the oil
he needs to buy?
Answer:
Step-by-step explanation:
1500 - 850 litres = 650 litres
Cost = 650litres * 67.2p/litre *0.95 = 41496p = £41.50 to the nearest p (assuming the p represents pence Sterling)
The 0.95 is because he pays 95% of the basic price (i.e. 5% off)
What is the value of a?
Answer:
your answer will be option B
Step-by-step explanation:
[tex]\frac{10}{12} =\frac{a}{38} \\\\a=\frac{(10) (38)}{12} \\\\=31.6[/tex]
13. Don is running a race. He knows he can run 60 feet in 4 seconds. If he maintains this rate, how many miles will he run in 1 hour?
Answer:
10.23 miles
Step-by-step explanation:
1 hour = 3600 seconds
[tex]\frac{60}{4} =\frac{x}{3600} \\\\4x=216000\\x=54000[/tex]
54000 ft = 10.23 miles
...........................................................
Answer:
Top is A bottom is B. ........
can someone please find the slope intercept equation and explain ill give brainliest
Answer:
y= -1/4 x -1
Step-by-step explanation:
slope intercept equation= y=mx+b
m= slope
b= y-int.
y-int= -1 (seen on graph)
b= -1
y=mx-1
slope is rise over run
-1/4
m= -1/4
y=-1/4x-1
Answer: what she said lol
Step-by-step explanation:
outline three methods of sampling
Answer: See explanation
Step-by-step explanation:
The sampling methods include:
1. Simple random sampling: Here, the individuals in the population have an equal chance of being selected as the selection is done randomly and anyone can be picked from the population
2. Systematic sampling: This is when the selection of the individuals is done at regular intervals. For example from the population, every 10th person might be picked.
3. Stratified sampling: Here, the total population is first divided into a smaller group called the strata before the sampling is done.
4. Clustered sampling: Here, the sampling unit is the subgroups of the population and not the individuals.
If it could be explained, that would help alot
Hurry please!!!Assuming that each worker used the standard deduction and that none of the workers had any additional adjustments, which worker had the lowest taxable income last year?
Number of exemptions at $3650 each
Esther has 2
Frank has 2
Macy has 1
Penny has 3
Answer:
Frank
Step-by-step explanation:
The worker that had the lowest taxable income last year was Frank
What is Tax?This refers to the deductions that are made based on income and earnings where a certain percentage is remitted to the government.
Hence, we can see that based on the gross income and the standard deduction that was made between Esther, Frank, Macy, and Penny, and the exception of %$3,650, Frank had the lowest taxable income last year
Read more about taxable incomes here:
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A quadrilateral has angle measures of 50°, 72°, and 78°. What is the measure of the fourth angle?
160°
60°
50°
100°
Answer:
160°
Step-by-step explanation:
Quadrilateral's angles add up to 360 degrees.
So:
x = fourth angle measure (unknown currently)
50° + 72° + 78° + x = 360°
200° + x = 360°
x = 160°
This graph represents a reflections over what axis? *
Answer:
B
Step-by-step explanation:
Over the y axis (?)
A prism has a length of 8 meters, height of 14 meters, and width of 6 meters. What is the volume of the prism? m3
Answer:
672 m^3
Step-by-step explanation:
The formula to find the volume of a prism is V = l x w x h, where l is length, w is width, and h is height. You are given the length, width, and height in the problem so you just plug it into the formula.
V = 8 x 6 x 14
After multiplying all three numbers together, you should get the answer 672 m^3.
7
T
S
U
The triangle STU has been drawn on to a centimetre grid.
Calculate the area of triangle STU *
(2 Points)
Enter your answer
Answer:
12 square units
Step-by-step explanation:
The area of a given figure is the measure of space occupied by the figure on a 2 dimensional plane.
Area of a triangle = [tex]\frac{1}{2}[/tex] x base x height
From the given grid, the following can be observed for triangle STU.
base SU = 6 units
height = 4 units
Thus,
area of triangle STU = [tex]\frac{1}{2}[/tex] x base x height
= [tex]\frac{1}{2}[/tex] x 6 x 4
= 3 x 4
area of triangle STU = 12 square units
The required area of triangle STU is 12 square units.