the lengths of the sides of a triangle are consecutive odd integers.if the perimeter of the triangle is 27 what is are the lengths of all three sides?
what's the vertex and axis of symmetry of y=2x^2+8x+3 ?
Which expression represents the phrase, "one third the sum of 12 and a number"?
Finding the area shaded figure
complete square = 100 square yards
triangle = 1/2 x base x height = 1/2 x 10 x 5 = 25 square yards
100-25 = 75 square yards
shaded area = 75 square yards
rename the number.. 24 ten thousands
The gasoline gauge on a van initially read 1/3 full. When 10gallons were added to the tank, the gauge read 3/4 full. How many more gallons are needed to fill the tank?
Sage correctly found the following quotient. 1 1/2 divided by 1/3= 4 1/2 . (a) Create a model to show the quotient. (b) Explain what the half in the quotient refers to in your model
When dividing 1 1/2 by 1/3, the quotient 4 1/2 indicates that each person receives half of a whole unit, which in our model is half of a pizza.
(a) To model the quotient 1 1/2 ÷ 1/3, imagine you have 1 1/2 units of something, like 1 1/2 pizzas. Now, if you divide each pizza into thirds, you'd have 3 halves of pizza. So, 1 1/2 pizzas divided by 1/3 pizza per person equals 4 people, each getting 1/2 of a pizza.
(b) The half in the quotient represents the portion of each whole unit (in this case, pizza) that each person receives. In our model, it signifies that each of the 4 people receives half of a pizza.
If sinθ = 3/4 and is in the first quadrant, then cosθ = _____.
Answer: The answer is [tex]\cos \theta=\dfrac{\sqrt{7}}{4}.[/tex]
Step-by-step explanation: Given that
[tex]\sin \theta=\dfrac{3}{4}[/tex] and [tex]\theta[/tex] is in Quadrant I.
We are to find the value of [tex]\cos \theta.[/tex]
We have the following trigonometric identity :
[tex]\sin^2\theta+\cos^2\theta=1\\\\\Rightarrow \cos^2\theta=1-\sin^2\theta\\\\\Rightarrow \cos \theta=\pm\sqrt{1-\sin^2\theta}\\\\\Rightarrow \cos \theta=\pm\sqrt{1-\left(\dfrac{3}{4}\right)^2}\\\\\\\Rightarrow \cos \theta=\pm\sqrt{1-\dfrac{9}{16}}\\\\\\\Rightarrow \cos \theta=\pm\sqrt{\dfrac{7}{16}}\\\\\\\Rightarrow \cos \theta=\pm\dfrac{\sqrt{7}}{4}.[/tex]
Since [tex]\theta[/tex] lies in the first quadrant, so cosine of [tex]\theta[/tex] will be positive.
Thus,
[tex]\cos \theta=\dfrac{\sqrt{7}}{4}.[/tex]
Draw one card at random from a standard deck of cards. the sample space s is the collection of the 52 cards. assume that the probability set function assigns 1/52 to each of the 52 outcomes. let a = {x: x is a jack, queen, or king}, b = {x: x is a 9, 10, or jack and x is red}, c = {x: x is a club}, d = {x: x is a diamond, a heart, or a spade}.
what is2.1e-10 in standard form
The value of a professional basketball player's autograph rose 30% in the last year. It is now worth $338.00. What was it worth a year ago?
On a backpacking trip through Europe, Troy spent 20 Swiss francs to stay one night in a youth hostel. If the foreign exchange rate between the U.S. dollar and the Swiss franc is 1:2.2, how much did Troy spend in U.S. dollars?
Answer:
Troy spent $9.09.
Step-by-step explanation:
Troy spent 20 Swiss Francs to stay one night in a youth hostel.
1 U.S. Dollar = 2.2 Swiss franc
We have to convert 20 Swiss franc to U.S. dollars.
So we divide 20 by 2.2 to convert Swiss franc to U.S. dollars.
= [tex]\frac{20}{2.2}[/tex] = 9.09090909 ≈ $9.09
Troy spent $9.09 to stay one night in a youth hostel.
What is 1 ten thousand + 19 thousands+ 2 tens+ 9 ones in standard form
What is the value of x in the equation 2x + 3y = 36, when y = 6?
the answer is x=9
i'm not good at showing my work, but I'm positive in my answer I'm an honors student.
solve for t q=(s+t)(r/2)
A watermelon seed is 0.4cm long. How far would a line of 116 watermelon seeds stretch?
2.85 as a mixed number
I hope you got the idea
Casey has 8
1
2
yards of fabric. She uses 2
1
2
yards to make pillows and 3 yards to make curtains. How much fabric is remaining?
How do you do number 24?
There is 2/5 cup of cream in a nelly cream pie.How much cream would you need if you were making 3/4 of a pie
To make [tex]\frac{3}{4}[/tex] of a nelly cream pie, you would need [tex]\frac{3}{10}[/tex] cup of cream. This calculation is done by multiplying [tex]\frac{2}{5}[/tex] cup (the amount required for a whole pie) by [tex]\frac{3}{4}[/tex].
To calculate the amount of cream needed for making [tex]\frac{3}{4}[/tex] of a nelly cream pie when the full pie requires [tex]\frac{2}{5}[/tex] cup of cream, we simply multiply these two fractions. To do this, first convert the mixed number [tex]\frac{3}{4}[/tex] to an improper fraction. We already have it in the proper format, so we can directly multiply:
([tex]\frac{2}{5}[/tex]) * ([tex]\frac{3}{4}[/tex]) = (2*3)÷(5*4) = [tex]\frac{3}{10}[/tex]
Therefore, for [tex]\frac{3}{4}[/tex] of a nelly cream pie, you would need [tex]\frac{3}{10}[/tex] cup of cream.
You deposit $3000 each year into an account earning 7% interest compounded annually. How much will you have in the account in 20 years?
How to do lond division 0.6÷0.0024
To divide 0.6 by 0.0024 using long division, adjust the numbers to remove the decimals, becoming 6000 divided by 24. The result of this division is 250.
Explanation:To solve the problem of long division, specifically for 0.6 ÷ 0.0024, you need to adjust both numbers to remove the decimal points before division. Start by shifting the decimal point in each number. In this case, shift the decimal for both numbers 4 places to the right, resulting in 6000 divided by 24.
So, it becomes a simpler division problem: 6000 ÷ 24. When you divide 6000 by 24, the result is 250.
Therefore, the result of 0.6 ÷ 0.0024 is 250.
Learn more about Long Division here:https://brainly.com/question/28824872
Felicia has a box of 16 cookies. if she divides all of the cookies up evenly among the 7 children she watches at the day care, how many cookies will each child get?
it is going to be 2 1/3
Please help answer this pre calc question
place the equation for g ( x^2-5) over the equation for f(4x+1)
so you get
x^2-5/4x+1
B is the answer
Which statement include two quantities in the real world that are additive inverses
A basketball player makes 175 out of 220 free throws. we would estimate the probability that the player makes the next free throw to be
The probability that the player will make next free throw is obtained as 0.795.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
The total number of free throws is 220.
And, the number of throws by the player is 175.
Now, the probability can be found as below,
P(free throws) = Throws by the Player ÷ Total throws
⇒ 175 ÷ 220 = 0.795
Hence, the probability for the next free throw can be estimated as 0.795.
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8 + 5y = 38 how to solve and check
Use the scale factor to find the area of the enlarged figure. Explain your steps.
The area of the enlarged figure will be 327.68 square units
The scale factor will be the ratio of the similar sides of a rectangle.
For the given triangles, the required scale factors will be expressed as:
[tex]\frac{4}{8} =\frac{a}{25.6}\\\frac{1}{2} =\frac{a}{25.6}\\2a = 25.6\\a=\frac{25.6}{2} \\a=12.8[/tex]
Next is to get the area of the bigger rectangle:
[tex]Area = Length \times Width\\Area=a\times 25.6\\Area=12.8\times 25.6\\Area=327.68 units^2[/tex]
Hence the area of the enlarged figure will be 327.68 square units
Learn more here: https://brainly.com/question/21067938
Janine is considering buying a water filter and a reusable water bottle rather than buying bottled water. Will doing so save her money?
First, determine what information you need to answer this question, then click here to display that info (along with other info).
How much water does Janine drink in a day? She normally drinks 4 bottles a day, each 16.9 ounces.
How much does a bottle of water cost? She buys 24-packs of 16.9 ounce bottles for $3.49.
How much does a reusable water bottle cost? About $10.
How long does a reusable water bottle last? Basically forever (or until you lose it).
How much does a water filter cost? How much water will they filter?
A faucet-mounted filter costs about $28 and includes one filter cartridge. Refill filters cost about $33 for a 3-pack. The box says each filter will filter up to 100 gallons (378 liters)
A water filter pitcher costs about $22 and includes one filter cartridge. Refill filters cost about $20 for a 4-pack. The box says each filter lasts for 40 gallons or 4 months
An under-sink filter costs $130 and includes one filter cartridge. Refill filters cost about $60 each. The filter lasts for 500 gallons.
The cheapest option saves her $________ over a year.
Help me please I forgot my notes at school