Answer:
This other side of the triangle is equal to about 11.7 cm
Step-by-step explanation:
In order to find out the third side of the triangle we will just use the Pythagoras Theorem.
[tex]c^{2} =a^{2} + b^{2}[/tex]
Since we know the hypotenuse and we know one of the legs, in order to find the second leg we just substitute the values and solve the equation and so we get...
[tex]c^{2} =a^{2} + b^{2}\\19^{2} = 15^{2} + b^{2}\\361 = 225 + b^{2} \\[/tex]
[tex]b^{2} = 361 - 225\\b^{2} = 136\\b = \sqrt{136} \\[/tex]
And so b ≈ 11.66190
Graph the solution to this inequality 4x+5y<20
Answer:
Everything in red works
Step-by-step explanation:
Enter your answer and show all the steps that you use to solve this problem in
the space provided.
The two figures shown above are congruent. Identify the corresponding sides and
angles.
Answer:
Step-by-step explanation:
they're the same figure but turned 90 deg
congruent sides:
AD and RQ
BA and SR
BC and SP
PQ and CD
congruent angles:
D and Q
R and A
B and S
C and P
haven't done this in a minute sorry if this is wrong
Enter a value to balance the hanger
Answer:
Try 2.75 it should work
Step-by-step explanation:
prove me wrong
I WILL GIVE YOU BRAINLY PLSS
What is the solution of x + 6 11
C. x –1
PLSS SHOW YOUR WORK PLSS
Answer: x < -1
Step-by-step explanation:
x + 6 < 5
x + 6 = 5
x = -1
x < -1
Now try to prove its correct
A number less than -1 is -2 so we'll try that.
x + 6 < 5
(-2) + 6 < 5
4 < 5
We can tell after substituting -2 for x, that the answer is correct
Oh and I changed the less than sign to an equal sign so it's easier to solve.
Does that help?
Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of cookies sold, x, is given by the linear relationship x = −2000 p + 4000 .
Answer:
a. The maximum revenue Luci can make selling cookies in one day is $2,000.
b. The price she should sell the cookies for her to make the maximum revenue is $1.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of cookies sold, x, is given by the linear relationship x = −2000 p + 4000. Find the maximum revenue Luci can make selling cookies in one day. Find the price she should sell the cookies for to make the maximum revenue.
The explanation of the answer is now provided as follows:
Given;
x = −2000p + 4000 …………………………. (1)
The revenue function is obtained as follows:
R = px ……………………….. (2)
Substitute equation (1) into (2), we have:
R = p(−2000p + 4000)
R = −2000p^2 + 4000p ……………… (3)
Obtain the derivative of equation (3), set to zero and solve for p, we have:
−4000p + 4000 = 0
4000 = 4000p
p = 4000 / 4000
p = 1
From the above, p = 1 implies that the price that ensure maximum revenue is $1.
We can now answer as follows:
a. Find the maximum revenue Luci can make selling cookies in one day.
Since p = 1 implies that the price that ensure maximum revenue is $1, we then substitute p = 1 into equation (3) as follows:
R = (−2000 * 1^2) + (4000 * 1)
R = (−2000 * 1) + (4000 * 1)
R = −2000 + 4000
R = 2000
Therefore, the maximum revenue Luci can make selling cookies in one day is $2,000.
b. Find the price she should sell the cookies for to make the maximum revenue.
Since p = 1 implies that the price that ensure maximum revenue is $1 as obtained above, it therefore implies that the price she should sell the cookies for her to make the maximum revenue is $1.
Write the rule to describe the transformation.
C(4,-5), D(3,-1), E(5,-3)
C'(2,-2.5), D'(1.5, -0.5), E' (2.5,-1.5)
Answer:
(x, y) ----> (x - 2, y + 2.5)
This is the rule because a letter with an apostrophe is the image after. If it has no apostophre, it is the PRE-IMAGE. Let's look at C.
C (4, -5)
C'(2, -2.5)
4-2 = 2
-5+2.5 = -2.5
Since those are the coordinates of C', that is your rule.
The population of a town is 2500 and is decreasing at a rate of 3.5% per year. Use an exponent function to find the population of the town after 5 years
Answer:
2099
Step-by-step explanation:
The formula for Exponential Decrease is given as:
P(t) = Po × e ^-rt
Where
r = Decrease rate = 3.5% = 0.035
t = time in years = 5 years
Po = Initial population = 2500
P(t) = Current Population after t years
Hence:
P(t) = 2500 × e^ -(5 × 0.035)
P(t) = 2500 × e^-0.175
P(t) = 2098.6425519
Approximately = 2099
The population of the town after 5 years = 2099
NEED HELP FAST PLEASE!
Answer:
is c because i had that problem already
Evaluate d−7 when d=10.
d−7=
plsss i need an answer
Answer:
Its 3
Step-by-step explanation:
If we know that d is 10 we can substitute d for 10 thus giving us 10 - 7 which is 3
We are given,
d - 7 .....[eqⁿ (i)]and we are also given the value of d :
d = 10Now, just put the value of d = 10 in eqⁿ (i) we get :
10 - 73Hence your final answer is 3.Hannah has a chicken coop with 6 hens. Let X represent the total number of eggs the hens lay on a randomly chosen day. The distribution for X is given in the table.
A 2-column table with 7 rows. Column 1 is labeled number of eggs with entries 0, 1, 2, 3, 4, 5, 6. Column 2 is labeled probability with entries 0.02, 0.03, 0.07, 0.12, 0.30, 0.28, 0.18.
Which is the correct interpretation of the standard deviation?
The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.96 eggs.
The mean number of eggs laid on a randomly selected day would typically vary by 1.96 from the expected number of eggs.
The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.
The mean number of eggs laid on a randomly selected day would typically vary by 1.4 from the expected number of eggs.
Answer:
C
The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.
The correct interpretation of the standard deviation of the discrete distribution is:
The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.What is the standard deviation of a discrete distribution?To find the standard deviation, first we have to find the mean.The mean is given by the sum of each outcome multiplied by it's respective probability.The standard deviation is given by the square root of the sum of the difference squared of each outcome and the mean, multiplied by it's respective probability.It represents by how much the distribution varies from the expected value.In this problem, the distribution is:
[tex]P(X = 0) = 0.02[/tex]
[tex]P(X = 1) = 0.03[/tex]
[tex]P(X = 2) = 0.07[/tex]
[tex]P(X = 3) = 0.12[/tex]
[tex]P(X = 4) = 0.30[/tex]
[tex]P(X = 5) = 0.28[/tex]
[tex]P(X = 6) = 0.18[/tex]
Hence, the mean is:
[tex]E(X) = 0.02(0) + 0.03(1) + 0.07(2) + 0.12(3) + 0.3(4) + 0.28(5) + 0.18(6) = 4.21[/tex]
Then, the standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{0.02(0-4.21)^2 + 0.03(1-4.21)^2 + 0.07(2-4.21)^2 + 0.12(3-4.21)^2 + 0.3(4-4.21)^2 + 0.28(5-4.21)^2 + 0.18(6-4.21)^2} = 1.40[/tex]
Hence, the correct option is:
The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.As the measure is the number of eggs, not the mean number of eggs.
You can learn more about the standard deviation of a discrete distribution at brainly.com/question/21186607
At the sewing store, Pam bought a bag of mixed buttons. The bag included 100 buttons, of which 30% were large. How many large buttons did Pam get?
Answer:
approx. 33 large buttons
Step-by-step explanation:
30% of 100= 33.3, round down because the number in the tenth place is less than 5.
exact value of tan 5pi/12
Answer:
[tex]\displaystyle \tan\frac{5\pi}{12}=2+\sqrt{3}[/tex]
Step-by-step explanation:
Tangent Half Angle
Given an angle θ, then:
[tex]\displaystyle \tan {\frac {\theta }{2}}=\frac {\sin \theta }{1+\cos \theta}[/tex]
We are required to find:
[tex]\tan\frac{5\pi}{12}[/tex]
But it cannot be found in tables of main angles. We can use the angle
[tex]\theta = \frac{5\pi}{6}[/tex]
And use the formula above to find the required operation. Hence:
[tex]\displaystyle \tan\frac{5\pi}{12}=\tan\frac{\frac{5\pi}{6}}{2}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac {\sin \frac{5\pi}{6} }{1+\cos \frac{5\pi}{6}}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac {\frac{1}{2} }{1-\frac{\sqrt{3}}{2}}[/tex]
Operating:
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac {\frac{1}{2} }{\frac{2-\sqrt{3}}{2}}[/tex]
Simplifying:
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{1}{2-\sqrt{3}}[/tex]
Rationalizing:
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{1}{2-\sqrt{3}}\cdot \frac{2+\sqrt{3}}{2+\sqrt{3}}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{2+\sqrt{3}}{2^2-\sqrt{3}^2}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{2+\sqrt{3}}{4-3}[/tex]
Finally:
[tex]\boxed{\displaystyle \tan\frac{5\pi}{12}=2+\sqrt{3}}[/tex]
What is the value of 1 − 2sin2(105°)?
a Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction
b Negative one-half
c One-half
d StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Answer:
D. d StartFraction StartRoot 3 EndRoot Over 2 EndFractionStep-by-step explanation:
What is the value of 1 − 2sin^2(105°)?
Given the expression
1 − 2sin²(105°)
= 1 - 2(sin105)²
= 1 - 2(0.9659)²
= 1 - 2(0.9330)
= 1 - 1.8660
= 0.8660
0.8660 can also be expressed as √3/2
Hence 1 − 2sin²(105°) is √3/2
Answer: D
Step-by-step explanation:
It IS sqrt3/22
Explain why i^3 is equal to i^47? Why
Answer:
i is probably 1.
Step-by-step explanation:
1^3 is equal to 1
1^47 is equal to 1
Please help due tomorrow!
Answer:
DF=GI
Step-by-step explanation:
Follow the order
it is Given That
DEF=GHI
DF=GI
DE=GH
EF=HI
13 = -2 ( y - 4 ) + 3y
Answer:
Y= 5
Step-by-step explanation:
Answer:
y=5
Step-by-step explanation:
13= -2y+8+3y
13= y +8
-8 -8
5= y or y=5
I hope this helps!!
A painter leans a 30 foot ladder against one wall of a house. At what height
does the ladder touch the wall if the foot of the ladder is 10 feet from the base
of the wall?
Answer:
20ft
Step-by-step explanation:
The height at which the ladder touch the wall when the ladder is 30 feet long, and the ladder is 10 feet from the base of the wall is 20√2 feet.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Consider the diagram below.
We've got:
Length of the ladder = |AC| = 30 ftDistance between ladder's bottom and base of wall = |BC| = 10 ftHeight of wall from base to the point where ladder touches = |AB| is to be known.The wall is usually perpendicular to ground, therefore making 90° angle with it. Thus, ABC is a right angled triangle.
Using Pythagoras theorem in it, we get:
[tex]|AC|^2 = |AB|^2 + |BC|^2\\\\30^2 = |AB|^2 + 10^2\\|AB|^2 = 900 - 100\\\\|AB|^2 = 800\\\\\text{Taking sq. root of both the sides}\\\\|AB| = \sqrt{800} = \sqrt{ (\pm 20\sqrt{2})^2}\\\\|AB| = \pm 20\sqrt{2} \: \rm ft[/tex]
But as length cannot be a negative quantity, so we get:
[tex]|AB| = 20\sqrt{2} \: \rm ft[/tex]
Thus, the height at which the ladder touch the wall when the ladder is 30 feet long, and the ladder is 10 feet from the base of the wall is 20√2 feet.
Learn more about Pythagoras theorem here:
https://brainly.com/question/12105522
#SPJ2
8/9+4/7
.........................................
Answer:
1.46 or 1 ²³/₅₀
Step-by-step explanation:
Just plug it into a calculator!!
Brainliest Please??
4.
One-third of Olivia's age, increased by 12, is equal to twice her age, decreased by 3. How old is Olivia?
Answer:
19?
Step-by-step explanation:
maybe i got it right
On a map of the United States, the distance between New York City and Nashville, TN is 2.5 inches. In real life, the distance is 880 miles. What is the scale on the map? (miles/inch) *
Answer: Rounded: 350 miles/inch
Exactly 352 miles per inch.
Step-by-step explanation: Divide the miles by the inches to find miles per inch.
880/2.5 = 352.
It would make sense to round that to say the scale is 350 miles per inch.
One inch represents 350 miles
Last week at the farmers' market, Cameron bought nectarines and apples to take for snacks at school. He paid the same amount for apples as he did for nectarines, but he bought more apples. This week, he wants to buy the same number of apples as nectarines. Will he likely spend more money on nectarines or on apples?
Answer:
Nectarines
Step-by-step
A car travels 2 5/8 miles in 3 1/2 minutes at a constant speed. How far did the car travel in 5 minutes?
Answer:
3.75 as a decimal
Step-by-step explanation:
Someone please answer this for me ASAP
Solve for x, rounding to the nearest hundredth.
10^3x = 98
Answer:
see explanation
Step-by-step explanation:
10^3x=98
1000x=98
x=98/1000
x=49/500
x=0.98
if it is rounded to the nearest hundredth then x=0
Which number line and equation show how to find the distance from 2 to 5?
Can some one really help me!
Answer:
That's not what I'm learning sorry
Step-by-step explanation:
Answer:
82 units
Step-by-step explanation:
There are multiple ways to go about solving this problem (solving by calculating the areas of the individual, smaller shapes), but I recommend solving it by first calculating the area of the entire figure (96 units - 12 * 8 - length * width ((formula for the area of a rectangle)) and then subtracting the area of the missing part from this value.Assume the opposite sides are equal in value (see picture for work) and subtract the given values (4 and 5) from 8 and 12 to get the measurements to find the triangle (the missing part).You get 7 and 4 and now you use the formula for the area of a triangle to get the area. (7*4)/2, which gives you 14 units.Subtract 14 (area of missing value) from 96 (area of total value) to get your final answer, 82 units!Which is the better deal?
Cheerios
12 oz. for $ 1.99
36 oz. for $2.59
48 oz. for $3.99
60 oz. $4.59
Answer:
36 oz
Step-by-step explanation:
Get the other options down to 12oz units for their price and then you can compare which one is the cheapest for 12oz.
12oz = $1.99
36oz/3 = 12oz so $2.59/3 = $ .86
48oz/4= 12oz so $3.99/4 = $1.00
60oz/5= 12oz so $4.59/5 = $ .92
So looking at the breakdown, the 36oz one is the cheapest because for that price for a third of it comes out to .86 cents.
write 103 as a series of products
Answer:
10*10*10
Step-by-step explanation:
Given the expression 10^3
We are to write this as a series of products as as shown;
10^3 means the product of 10 in 3 places. Multiplying 10 in 3 places will give the required series of product.
10^3 = 10 * 10 * 10
Hence the series of product of 10^3 is 10*10*10
HELP ME PLEASE!!! Asap
Solve for the proportion 42/21 = 6/d
!!!URGENT!!! ANSWER QUICK I WILL GIVE BAINLIEST TO RIGHT ANSWER
Answer:
25/9 = 2 7/9 = 2.7777777778
Step-by-step explanation:
