Answer:
9[tex]\sqrt{3}[/tex]
Step-by-step explanation:
divide the triangle in 2
this makes the height = 3
since it is a 30 60 90 triangle, 1/2 of the base would be 3[tex]\sqrt{3}[/tex]
multiply this by 2 to get 6[tex]\sqrt{3}[/tex] for the base
you can then find the area by multiplying (1/2)*(6[tex]\sqrt{3}[/tex])*3 = 9[tex]\sqrt{3}[/tex]
What is the slope?????
Answer:
Slope= 2/3
Step-by-step explanation:
Here are our coordinates:
x1= 20
y1= 60
x2= 50
y2= 80
Now we use the slope formula-- y2-y1/x2-x1.
Now we plug in the numbers!
80-60= 20
=20/30
50-20= 30
Now we simplify: 20/10= 2
30/10=3
Thus your answer: 2/3
A factory produces metal sheets that are 0.003 in thick. If a worker stacks 200 of the sheets in each pack,how thick is the pack?
Answer:
0.6
Step-by-step explanation:
WRITE AN EQUATION THE REPRESENT THE SITUATION AND THEN SOLVE IT!!!
one bag of trail mix has 7 ounces of raisins and some almonds. Lon buys 4 bags of trail mix and has 60 ounces of trail mix altogether. how many ounces of almonds are in each bag.
Calculate the unit rate for Machine A and Machine B. Determine which is the greater rate (Below).
Machine A covers 5/8 square feet in 1/4 hour or Machine B covers 2/3 square feet in 1/5 hour.
Answer:
Unit Rate of Machine A = 2.5 square feet per hour
Unit Rate of Machine B = 3.333 square feet per hour.
The unit rate of Machine B is greater than unit rate of machine A.
Step-by-step explanation:
The unit rates for both machines need to be calculated first.
The unit rate will be calculated as:
[tex]Unit\ rate = \frac{Area\ covered}{Time}[/tex]
For Machine A:
Area Covered = 5/8
Time = 1/4
The unit rate will be:
[tex]U_A = \frac{\frac{5}{8} }{\frac{1}{4} } \\Using\ rule => \frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a}{b} * \frac{d}{c}\\=\frac{5}{8} * 4 \\= \frac{5}{2} = 2.5\ square\ feet\ per\ hour[/tex]
For Machine B:
Area Covered = 2/3
Time = 1/5
[tex]U_B = \frac{\frac{2}{3}}{\frac{1}{5}}\\= \frac{2}{3} * \frac{5}\\= \frac{10}{3}\\= 3.33...\ square\ feet\ per\ hour[/tex]
As it can be seen that unit rate for Machine B is greater than Unit Rate of Machine A.
Hence,
Unit Rate of Machine A = 2.5 square feet per hour
Unit Rate of Machine B = 3.333 square feet per hour.
The unit rate of Machine B is greater than unit rate of machine A.
Alec mixes a juice solution that is made from 3 gallons of an 80% juice solution and 1 gallon of a 20% juice solution. What is the percent concentration of the final solution?
Answer:
i tink 88 percent
There are 60 chocolates in a box
1/6 of the chocolates are coconut flavour, 1/12 are plain chocolate and 1/6 are nutty. The rest are toffes. How many toffees are there in the box?
Find 5x-3y-z if x=-2, y=2, and z=-3
Answer:
The answer is -13
Step-by-step explanation:
Answer:
=-19
Step-by-step explanation:
5x-3y-z
if x=-2, y=2, and z=-3
Putting value of x,y,z in equation
5x-3y-z= 5X-2-3X2-3=
=-10-6-3 = -19 answer
Janet can plant nine feet of carrots in 15 minutes while her daughter Amy can plant 17 feet of carrots in half an hour.
Who plants carrots more quickly? Show work
Answer:
Step-by-step explanation:
In order to find who is more efficient at planting carrots, we want to put both ratios in terms of the same amount of time.
For simplicity, lets see how many carrots each can make in 1 hour.
[tex]Janet:\\9ft \: in \: 15 \:minutes[/tex]
[tex]\frac{9ft}{15min} = \frac{xft}{60min}\\x = \frac{60*9}{15} = 36[/tex]
Janet can plant 36 feet of carrots in one hour
[tex]Amy:\\\frac{17ft}{30min} = \frac{xft}{60min}\\x = \frac{17*60}{30} = 34[/tex]
Amy can plant 34 feet of carrots in one hour
So, Janet can plant carrots more quickly
what is 0.1 of 75%?????
Answer:
.075
Step-by-step explanation:
0.1 of 75%
1/10×75/100
75/1000
.075
So the answer is .75
[ tan2 θ ] – [( sec θ – 1 )( sec θ + 1 )
Answer: tan(2θ)−sec2(θ)−sec(θ)
Step-by-step explanation: Simplify Each Term
ONLY 2 MIN LEFT HURRY BRAINLIST
Answer:
6x + 7
Step-by-step explanation:
2
Colin is 9 years older than Richard. David is 12 years younger than Richard. If the total of their ages is 93, how old is the eldest of them?
Answer: The eldest, Colin, is 41 years old
Step-by-step explanation:
is 7.2 a rational number
Step-by-step explanation:
A decimal is a number that represents a fractional part of a whole. For example, the decimal 0.25 represents 25/100. Numbers with decimals are not integers because an integer is defined as a whole number with no fractional part.
Each tire on your bicycle has a diameter of 26 inches. About how far will you travel when the tires make on complete revolution?
Answer:
one revolution will be the circumference of the tire, so multiply pi (3.1416) times the diameter (26 in.), to get 81.68 in.
Step-by-step explanation:
At the local pet store, Bloodfin Tetra cost $1.50 each and Angelfish cost $4.75 each. If Sarah bought 8 fish for a total cost of $21.75, not including tax, how many of each type of fish did she buy?
Answer: She bought 6 zebra fish and 5 neon tetras
Step-by-step explanation: you add up 1.85 6 times to get 11.10 then you add 2.10 till you get your total 21.60$
Find the slope of the ordered pair. A(4,6) B(5,8)
Answer:
The slope is 2Step-by-step explanation:
Step one:
we are required to find the slope of the given data points
A(4,6) B(5,8)
hence the x and y values correspond to
x1=4
y1=6
x2=5
y2=8
Step two:
Required is the slope which is
slope= y2-y1/x2-x1
Slope=8-6/5-4
Slope= 2/1
Hence the slope of the ordered pair is 2
help me!! grade due tonight :(
What is the answer
A video game is on sale at Amazon for 30% off the original price of $28.50. Both Pat and Henri want to purchase the game, but they only have $22 each. They each have to pay 10% sales tax. Pat and Henri have different strategies to calculate the price and decide if they have enough money to get the game. Pat takes 30% of $28.50 and subtracts that from the original price. She takes 10% of the sale price and adds it to the sale price to find the total amount she would have to pay. Henri finds 70% of the original price and then calculates 110% of the sale price. Will Pat's strategy calculate the correct total? Explain the calculations. Will Henri's strategy calculate the correct total? Explain the calculations. Do they each have enough to purchase the game?
Explain your answers using complete sentences and show your work. (10 points)
Your answer:
Answer:
Step-by-step explanation:
Explanation:
Step one:
The original price of the video game= $28.5
Cash at hand= $22
Discount= 30%
Tax= 10%
1. Pat's strategy
Amount discounted
=30/100*28.5
=0.3*28.5
=$8.55
28.5-8.55
=$19.95
Amount of tax added
=10/100*28.5
=0.01*28.5
=2.85
=17.15+2.85
=$22.8
Hence going by Pat's strategy, the total amount to be paid is
=$22.8
2. Henri's strategy
=70/100*28.5
=0.70*28.5
=$19.95
110% of $28.5
=110/100*28.5
=1.1*28.5
=$31.35
the tax is
31.35-28.5
=$2.85
i. Hence by Henri's strategy, the sales price with tax is
=19.95+2.85
=$22.8
ii. Yes Pat's strategy will compute the correct total,
30% of $28.5 is $8.55 which is the amount to be deducted as a discount
10% of $28.5 is $2.85 which is the amount to be added as tax
Hence the total amount to be paid is $22.8
iii Yes Henri's strategy also gave the correct total
70% of 28.5 is $19.95
110% of 28.5 of tax is the same as adding 10% of 28.5 to 28.5
= 31.35, substracting the original price we got the tax added
which is $2.85
iv. No, they both don't have enough money to purchase the video game,
because they only have $22and the game is to be sold for $22.8
Help please!!! Idk the answer.. if anyone knows then will u help me please!!! I will mark as BRAINLIEST
Answer:
which one?
Step-by-step explanation:
Answer:
q9:20cm q10:17 dice can fit in and you have 4cm3 space remaining
Step-by-step explanation:
1L= 1000cm3
base=50cm2
base=5x10
1000/50=20cm
height =20 cm
5x10x20=1000cm3=1L
Question 10:dice=2x2x2=8cm3
box=5x4x7=140cm3
answer=140/8
answer=17.5 meaning we can fit 17 full dice into the box
The space we have left is 4cm3
Grandpa Ernie is shrinking! Over the past 4 years, his height decreased by a total of 2.4 cm. It decreased by the same amount each year. The change in height each year was _____________________ cm.
Answer:2
Step-by-step explanation:
4/7 = ________ (decimal-round to hundredths)
Answer: It is .571
Step-by-step explanation:
Answer:0.57
Step-by-step explanation:
Due in 10 minutes
Find the area of the figure.
Use 3.14.
Answer:
First multiple 10 x 4. Then multiple 3.14 x 25 because the radius is 5 and the area of the circle would be 3.14 x 25 then add your answer from that to 40. so add 40 plus the answer from 3.14 x 25.
Which type of triangle, if any, has side lengths of 11, 15, and 25? A. equilateral triangle B. It's not a triangle. C. scalene triangle D. Isosceles triangle
Answer:
C. Scalene triangle
Step-by-step explanation:
A scalene has sides that aren't equal.
If I have two points on a graph, let's say (4,5) and (8,10) what is the slope between the points?
Answer:
12.6
Step-by-step explanation:
How many diagonals can be constructed from one vertex of an n-gon? State your answer in terms of n and, of course, justify your answer.
IM REPOSTING THIS QUESTION, BUT THIS TIME FOR 15 POINTS!!!!!!!!!!!!!!
PLEASE HELP :)
Answer:
[tex]The \ total \ number \ of \ distinct \ diagonals \ in \ a \ polygon \ with \ n \ sides= \dfrac{n \times (n - 3)}{2}[/tex]
Step-by-step explanation:
A diagonal is defined in geometry as a line connecting to two non adjacent vertices.
Therefore, the minimum number of sides a polygon must have in order to have a diagonal n - 3 sides as the 3 comes from the originating vertex and the other two adjacent vertices
Given that the polygon has n sides, the number of diagonals that can be drawn from each of those n sides gives the total number of diagonals as follows;
Total possible diagonals = n × (n - 3)
However, half of the diagonals drawn within the polygon are the same diagonals drawn in reverse. Therefore, the total number of distinct diagonals that can be drawn in a polygon is given as follows;
[tex]The \ total \ number \ of \ distinct \ diagonals \ in \ a \ polygon \ with \ n \ sides= \dfrac{n \times (n - 3)}{2}[/tex]
Find the whole number that satisfies all of the following conditions it is a whole number between 1 and 100 inclusive 10% of the number is greater than 1 but less than 7 1/3 of the number is a square number the number is not a multiple of 6
Answer:
Step-by-step explanation:
The question is a little unclear in this statement.
10% of the number is greater than 1 but less than 7 1/3 . Do you mean 7 1/3%
List all the perfect squares between 1 and 100
1 4 9 16 25 36 49 64 81 and 100
The number is not a multiple of 6 which lets out 36
The number is greater than one because 10% of the number is greater than 1.
7.33333% = 7.333 / 100 * N
That lets out 100 which 7.3333% = 7.3333
So what do we have left?
4 9 16 25 49 64 81
That's as far as I can get you. Perhaps if you clarify what is unclear, we might be able to take it further. Leave a statement, and I will revise my answer.
If x = 3.5, y = -2x + 4, what is y?
Answer:
x = 3.5
y = -2x + 4
y = ?
y = -2(3.5) + 4
y = -3
Step-by-step explanation:
11. Solve for c
a+c
/ = d
b
please help!!!!!
Answer:
34
Step-by-step explanation:
1+33=34
Answer:
a=-(c/b)/d
Step-by-step explanation:
a+c/b=d
d-a=c/b
-a=(c/b)/d
a=-(c/b)/d
You can use this graph to change between pints
and litres.
6
5
4
Litters
3
2
1
0 1 2 3 4 5 6 7 8
Pints
9 10
Work out the gradient of the line.
Answer:
s
Step-by-step explanation: