Answer:
23 m
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships between angle functions and side measures in a right triangle. The geometry of this problem can be modeled as a right triangle with one leg (h) equal to the height of the pole, and one leg (21 m) that is the shadow length on the ground. The angle of the sun's rays is the angle opposite the h leg, so we can use ...
Tan = Opposite/Adjacent
tan(48°) = h/(21 m)
h = (21 m)tan(48°) ≈ 23.32 m
The height of the flagpole is about 23 meters.
Giving BRAINLIEST for correct awnser! Factor the expression below.
36a^2-25b^2
Which of the following binomials is a factor of the expression?
A. 4a +25b
B. 4a +5b
C. 6a + 5b
D. 6a + 25b
Answer:
C. 6a + 5b
Step-by-step explanation:
36a^2-25b^2
Rewriting as
(6a)^2 - (5b)^2
We know this is the difference of squares
(x^2 -y^2) = (x-y)(x+y)
(6a - 5b) (6a+5b)
Answer:
C. 6a + 5b
Step-by-step explanation:
36 is a perfect square, meaning it has two factors that are identical, being 6. 25 is also a perfect square, with its factors being 5, however, in this case, 25 is negative, so we need to have a positive 5 and a negative 5. This gives us:
(6a + 5b) (6a - 5b)
But, the answer choices only have (6a + 5b), so choice, "C," is the answer.
5x + 8 = ______, when x = 4
Answer:
28
Step-by-step explanation:5 times 4 plus 8 is 28
what is 10x + 45 >120
Answer:
[tex]0.75 \: \: \: \: or \: \frac{15}{2} [/tex]
Step-by-step explanation:
[tex]10x > 120 - 45 |collect \: like \: terms| \\ 10x > 75 |simplify \: | \\ \frac{10x}{10} > \frac{75}{10} |divide \: both \: side \: by \: 10 | \\ x > 0.75 \: or \: \frac{15}{2} [/tex]
What is the median of the following numbers?
1, 2, 10, 6, 4, 4, 6, 3, 1,4
Answer:
4
Step-by-step explanation:
The median is the middle number after ordered into numberical order. If there's two and the numbers are different, you add them and divide the total by 2.
Answer: 4
Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.
So let's write our data set from least to greatest.
So we have 1, 1, 2, 3, 4, 4, 4, 6, 6, 10.
Now, notice that there are two numbers that appear in the middle.
I have underlined them above.
When two numbers appear in the middle that are the same number (4 and 4), the median will be the same number too.
So the median of the given data set is 4.
What is the area of a equilateral triangle with an apothem of 4.9 ft and side length of 17 ft
Answer:
16
Step-by-step explanation:
is the the associated
x^2 + 1/2x +____ = 2 + ____
Answer:
1/16, 1/16
Step-by-step explanation:
Perhaps you want to complete the square. You do that by adding the square of half the x-coefficient:
((1/2)/2)^2 = (1/4)^2 = 1/16
The number to complete the square is 1/16. It is added to both sides of the equation to give ...
x^2 +1/2x +1/16 = 2 +1/16
_____
Written as a square, the equation is ...
(x +1/4)^2 = 33/16
Just the 46×23 to the fourth power times 1000
Answer:1.2872686 x 10^10
Step-by-step explanation:
46 x 23^4 x 1000
46 x 23 x 23 x 23 x 23 x 1000
1.2872686 x 10^10
A bag contains four chips of different colors, including red, blue, green, and yellow. A chip is selected at random from the bag and then replaced in the bag. A second chip is then selected at random. Make a list of the possible outcomes (for example RB represents the outcome red chip followed by blue chip) and use your list to determine the probability that one blue chip and one yellow chip are selected.
Answer:
Check Explanation please.
Probability = 0.25.
Step-by-step explanation:
The Important thing to note here is that we have sixteen(16) different possible outcomes for this particular problem or question.
From the question above, we are given the following information or data: ''bag contains four chips of different colors, including red, blue, green, and yellow. A chip is selected at random from the bag and then replaced in the bag. A second chip is then selected at random"
Hence, the sixteen (16) different possible outcomes are; RR, RB, BB, BR, RG, GR, GG, RY, YR, YY, BG, GB, BY, YB, GY, YG.
To calculate the probability we need to used the numbers of f different colors divided by the number big possible outcomes, that is; 4/16 = 0.25.
Probability that one blue chip and one yellow chip are selected is 1/8
Given that a bag contains four chips of different colors
The colors given are red , blue, green and yellow
A chip is selected at random from the bag and replaced in the bag
After that a second chip is selected at random.
In both the selections there is a equal probability of choosing any color chip at random
So for the first chip the color can be either blue , green red or yellow.
Similarly for the second chip the color of the chosen chip can be either blue , green , red or yellow
We can make set of possible outcomes for the colors of chips in the first and the second draw
The number of possible outcomes are 16 in numbers
{ RR, RB, RG, RY. BR, BB, BG, BY, GR,GB, GG, GY, YR, YB, YG, YY}
Probability that one blue chip and one yellow chip are selected is 1/8
Since there is only two such case.
For more information please refer to the link given below
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A person invested $880 in an account growing at a rate allowing the money to double every 6 years. How much money would be in the account after 13 years, to the nearest dollar?
Answer:
$3,951
Step-by-step explanation:
The growth factor for t years is given as 2^(t/6). Then in 13 years, the account will be multiplied by ...
2^(13/6) ≈ 4.489848
Its value will be ...
$880·4.489848 ≈ $3,951
Write the equation of a line that is parallel to {x=8}x=8x, equals, 8 and that passes through the point {(-3,-2)}(−3,−2)left parenthesis, minus, 3, comma, minus, 2, right parenthesis.
Answer:
x = -3
Step-by-step explanation:
The line parallel to x=8 is another vertical line:
x = constant
To make it go through a point with an x-coordinate of -3, the constant must be -3.
Your line is ...
x = -3
Answer:
x=-3
Step-by-step explanation:
khan
What is the answer to the following equation.9+10
Answer:
21
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
The circumference of a circle can be found using the formula c=2pie r. which is an equation solve for r?
Answer:Half of the diameter so d/2 or distance from the midpoint to the circle border
Step-by-step explanation:c=2pie•r^2
The distance between the origin and the point representing the real number.
Answer: I believe the answer you're looking for is absolute value
I hope this helps!!!
Order the steps needed to simplify this expression
(3+1)^2-17•2+24/3+5
Simplify inside parentheses
Perform addition and subtraction left to right
Perform multiplication and division
Evaluate exponents
Answer:
Step 1
Step 4
Step 3
Step 2
Hence, the order of steps needed to simplify this expression is
Step 1
Step4
Step3
Step2
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Here given expression is
[tex](3+1)^2-17(2)+\frac{24}{3}+5[/tex]
Step 1:-
Simplify the parenthesis
[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5[/tex]
Step 2:- Evaluate exponents
[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5\\\\=16-17(2)+\frac{24}{3}+5[/tex]
Step 3:-Perform multiplication and division
[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5\\\\=16-17(2)+\frac{24}{3}+5\\\\=16-24+8+5[/tex]
Step 4:- Perform addition and subtraction left to right
[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5\\\\=16-17(2)+\frac{24}{3}+5\\\\=16-24+8+5\\\\=29-24\\\\=5[/tex]
Hence, the order of steps needed to simplify this expression is
Step 1
Step4
Step3
Step2
To know more about the simplification
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#SPJ5
Year
2006
2008
2010
2015
2018
Value ($)
450
418
255
385
300
1. Using linear regression, write an equation for the line of best
fit to represent the value of the card, y, in years since 2006, r.
Round to the nearest hundredth where necessary. Use your
equation to find the value of the card in 2030.
Answer:
is there a picture
Step-by-step explanation:
Which set of numbers shows all the factors of 18?
1.2.3.6. 9.18
1.3.6.18
9.18. 27. 36
18. 36, 54, 72, 90
My Progress >
Answer:
the first set of numbers
Step-by-step explanation:
the first set if numbers shows all the factors of 18
The angle θ lies in Quadrant III . cosθ=−1/6 What is tanθ ?
With θ in quadrant III, we expect to have both cosθ and sinθ negative. Then from the Pythagorean identity, we get
[tex]\cos^2\theta+\sin^2\theta=1\implies\sin\theta=-\sqrt{1-\cos^2\theta}=-\dfrac{\sqrt{35}}6[/tex]
Then from the definition of tangent, that is
tanθ = sinθ / cosθ
we get
[tex]\tan\theta=\dfrac{-\frac{\sqrt{35}}6}{-\frac16}=\boxed{\sqrt{35}}[/tex]
The value of [tex]\tan \theta[/tex] is required.
The required value in quadrant three is [tex]\tan\theta=\sqrt{35}[/tex]
[tex]\cos \theta=-\dfrac{1}{6}[/tex]
We have the identity
[tex]\tan \theta=\dfrac{\sqrt{1-\cos^2\theta}}{\cos \theta}\\\Rightarrow \tan\theta=\dfrac{\sqrt{1-\left(-\dfrac{1}{6}\right)^2}}{-\dfrac{1}{6}}\\\Rightarrow \tan \theta=\dfrac{\sqrt{\dfrac{35}{36}}}{-\dfrac{1}{6}}\\\Rightarrow \tan\theta=\pm\sqrt{35}\times -1\\\Rightarrow \tan\theta=\pm\sqrt{35}[/tex]
The required value in quadrant three is [tex]\tan\theta=\sqrt{35}[/tex]
Learn more:
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A angle has late of 5 and 2 cm write the possible third number
Answer:
Maybe
Step-by-step explanation:
8 possibly could be a number
A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using all of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other.Which equation represents x, the side length of the greater square?
Answer:
8 is the side length of the greater square. 100=x^2+(x-2)^2
Step-by-step explanation:
64+36=100
8 squared plus 6 squared equals 10 squared
8 is 2 more than 6
100=x^2 +y^2
x-y=2
100=x^2+(x-2)^2
guys i really need your help i have this awesome friend who is cool sometimes but she calls me names and pretends to like me bottom line is: is she really my friend
#cryingmyeyesoutrn
If she calls you name it isn’t very nice and If she pretends to like you than she ain’t a very good friend
Answer:
No. If your being treated like trash and are constantly being called names, talk to your parents or someone, they can help. It's up to you to decide. There are many websites with great advice.
Step-by-step explanation:
Given the graph and the equation y= (x + 3) - 2, which one has the smaller minimum and by how mucha
A
The graph by one unit
B)
The graph by five units
The equation by one unit
D)
The equation by five units
Answer:
A
Step-by-step explanation:
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
A. p + q = b
D. p · q = c
Step-by-step explanation:
It's best to look at an example, such as this:
[tex]x^2 - 12x+ 35[/tex]
And it's factored form is:
(x - 5) (x - 7)
As you can see, if you add -5 (p) and -7 (q), you get -12 (b). Then, if you multiply -5 (p) and -7 (q), you get 35 (c).
I WILL GIVE BRAINLYIST IF CORRECT
A ladder that is 14 feet long is placed against a building. The bottom of the ladder is 6 feet from the base of the building.
A right triangle with side length 6 feet, hypotenuse 14 feet, and side h.
In feet, how high up the side of the building is the top of the ladder? Round to the nearest tenth of a foot.
Answer:
Perp≈12.6 ft
Step-by-step explanation:
Since this is a right angled triangle, so we'll use the formula
Hypotenuse ²=base²+ perp²
Where hyp=14 , base=6
14²=6²+perpendicular ²
196= 36 + perp²
Perp²=196-36
Perp ²= 160
Taking sq root on both sides
Perp=12.649
Perp≈12.6 ft
Answer:
The guy above me is right 12.6
Step-by-step explanation:
hope he gets brainlist
solve for x. x+y = 14
Answer:
There is not enough information to specifically tell you the amount for x
Answer:x=14-y
Step-by-step explanation:
x+y=14
x=14-y
i took too many pills counting up the bills
Molly in my cup i can't tell you how it feel
Answer:
errday i b countin up countin up da blues count away sometimes we always lose
Step-by-step explanation:
juice wrld
Answer:
juice wrld
Step-by-step explanation:
If you flip a coin 10 times, what is the best prediction possible for the number of times it will land on tails?
Answer:
5
Step-by-step explanation:
The probability of tails is 1/2, so the expected value is (1/2) (10) = 5.
Answer:
5
Step-by-step explanation:
Probability of land a tail when the coin is tossed once is 1/2 because a coin has two sides and contains one head
Then when it is tossed 10 times, the no of time a tail appears is. 1/2 * 10 =5
What are the Dursleys hoping will
happen this evening?
А
They will have a delicious
dinner.
B
They will impress the Masons.
C
They will run away to Spain.
They will start using magic.
Answer:
b
Step-by-step explanation:
The histogram shows the number of cell phone calls received by Medera, a middle school student, one Saturday from 10 a.m. to 10 p.m.
A histogram titled Cell Phone Calls has time of day on the x-axis and number of calls on the y-axis. From 10 to 12 pm there were 2 calls; from 12 to 2 pm there were 8 calls; from 2 to 4 pm there were 0 calls; from 4 to 6 pm there were 10 calls; from 6 to 8 pm there were 4 calls; from 8 to 10 pm there were 2 calls.
Which statement most reasonably explains the hours when zero calls were received?
Medera turned the phone off while playing in a soccer game.
Medera’s phone can only receive 22 calls a day.
Medera only receives calls in clusters.
Medera lost her phone for two hours.
Answer:
Its A. Medera turned the phone off while playing in the soccer game
Step-by-step explanation:
Answer:
It is A.Medera turned the phone off while playing in a soccer game.
Step-by-step explanation:
got a 100 on the test
Emina took out a 5/1 variable-rate mortgage for $120,000. The interest rate
for the first period was fixed at 5.25%, and the loan was amortized over 30
years. At the end of the initial loan period, the interest rate was 6.75%, plus a
1.5% margin. What will the unpaid balance on her mortgage be after her initial
period expires?
O
A. $102,164.09
B. $123,740.97
c. $110,579.39
D. $113,739.09
Answer:
$110,579.39 this is the right answer.
The police received a report about a body found in the woods behind the local shopping center. The forensic investigator collected 5 different types of living insects on the man’s body. It’s important to stress that investigators found all 5 insects alive on the body at the same time. The insects were sent to the forensic entomology lab, where they were raised under similar conditions to those found around the dead body. The following chart describes the life cycles of each of the five different types of insects found on the dead body. How long has the man been dead? Justify your answer.
Day
Insect 1 2 3 4 5 6 7 8 9 10
Blowfly 1 1 1 1 1 1 1 1 1 0
Species A 0 0 0 0 1 1 1 1 1 1
Species B 0 0 0 0 0 0 1 1 1 0
Species C 0 0 0 0 0 0 0 0 1 1
Species D 0 0 0 0 0 1 1 1 1 1
Update:
The police received a report about a body found in the woods behind the local shopping center.? Forensic science
Update 2:
The police received a report about a body found in the woods behind the local shopping center. Forensic science question?
Answer:
The man has been dead for 9 days. This is because this is the only day on the chart where all the types of insects coexist.
Step-by-step explanation:
5 species of insects were found at the same time alive on the dead man's body.
These 5 insects are then sent to the lab to be studied and larvae/eggs from them, raised under similar conditions to the conditions of the dead body.
The activity the eggs are them studied and presented in the chart provided
Insect/Day 1 2 3 4 5 6 7 8 9 10
Blowfly 1 1 1 1 1 1 1 1 1 0
Species A 0 0 0 0 1 1 1 1 1 1
Species B 0 0 0 0 0 0 1 1 1 0
Species C 0 0 0 0 0 0 0 0 1 1
Species D 0 0 0 0 0 1 1 1 1 1
Note that 0 represents a non-activity on the part of the egg of the insect specie.
From the chart, the first time all 5 insects coexist together at the same time just like they were found in the dead body is on the 9th day. Before the 9th day, all 5 insects do not coexist at the same time and even beyond the 9th day, on the 10th day, insect specie B stops existing.
So, it is evident that the man has been dead for 9 days as that's the only day on the chart where all the types of insects coexist.
Hope this Helps!!!
