Answers
Answer:
v=3
u=6
x=2√2
y=2√2
Step-by-step explanation:
First triangle :
tanΦ=v/3√3
tan30=v/3√3
(√3)/3=v/(3√3)
Cross multiply
(√3)/3 x 3√3=v
(√3 x 3√3)/3=v
(3√9)/3=v
(3x3)/3=v
9/3=v
3=v
v=3
Sin30=v/u
0.5=3/u
Cross multiply
0.5xu=3
0.5u=3
Divide both sides by 0.5
0.5u/0.5=3/0.5
u=6
Second triangle :
sin45=x/4
Cross multiply
x=4 x sin45
x=4 x (√2)/2
x=2√2
Cos45=y/4
Cross multiply
4 x Cos45=y
4 x (√2)/2=y
(4√2)/2=y
2√2=y
y=2√2
Related Questions
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answers
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).
X/7 ≥ -6 solve for x
Answers
Answer:
x>=42
Step-by-step explanation:
multiply by 7 on both sides
What is the answer to the following equation.9+10
Answers
Answer:
21
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
A angle has late of 5 and 2 cm write the possible third number
Answers
Answer:
Maybe
Step-by-step explanation:
8 possibly could be a number
A sector with an area of 11/2*pi cm^2 has radius of 3 cm. What is the central angle measure of a sector in degrees?
190
200
210
220
Answers
Answer:
Step-by-step explanation:
Area of sector = angle/360 * pi * r^2
5.5pi = angle/360 * pi * 9
5.5 = angle/360 * 9
angle = (5.5 * 360)/9 = 40 * 5.5 = 220
what is 10x + 45 >120
Answers
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]
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
Answers
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
https://brainly.com/question/12795317
#SPJ5
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?
Answers
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!!!
Which equations represent the line that is perpendicular to the line 5x – 2y = -6 and passes through the point (5. -4)? Select
three options.
0y = 2 X-2
2x + 5y = -10
2x - 5y = -10
my+4=} (x - 5)
By -4 = (x + 5)
Answers
Answer:
work is shown and pictured
What is the area of a equilateral triangle with an apothem of 4.9 ft and side length of 17 ft
Answers
Answer:
16
Step-by-step explanation:
is the the associated
Find an
angle 0 coterminal to 701°, where 0°
Answers
Answer:
341°-19°Step-by-step explanation:
Subtracting 360°, you get ...
701° -360° = 341°
Subtracting 360° again, you get ...
341° -360° = -19°
Angles 341° and -19° are coterminal with 701°.
_____
Additional comment
You can find additional angles by adding or subtracting multiples of 360°. We presume you require an angle in a specific range. Hopefully this gives you enough information to help you find the angle you're looking for.
Find a whole number that, when added to the data set below, does not change the interquartile range.
18, 20, 22, 26, 27, 28, 30, 34
One possible whole number is__.
Answers
Answer: 25 can be an option.
Step-by-step explanation:
Interquartile range is defined as the difference between the third quartile and the first quartile.
we have 8 values, so the first quartile is the lower 25% of the data:
the 25% of 8 is:
0.25*8 = 2
So the first quartile is 18 + 20 = 38
the third quartile is 30 + 34 = 64.
So we can add any integer that does not affect the first or thid quartile and the interquartile range will remain unchanged, this is if we add a number right in the midle of our data set, for example, we could add a number between 22 and 26 (let's use 25) and the interquartile range will remain unchanged.
Today, high tide measured 7.5 ft and low tide measured 3 ft. What is the amplitude of a cosine function modeling the depth of the water in feet as a function of time in hours?
Answers
Answer:
The amplitude of wave is [tex]A = 2.25\,ft[/tex].
Step-by-step explanation:
The amplitude is computed by using the following expression:
[tex]A = \frac{7.5\,ft - 3\,ft}{2}[/tex]
[tex]A = 2.25\,ft[/tex]
Answer:
2.25 ft
Step-by-step explanation:
Convert the angle \theta=\dfrac{17\pi}{18}θ=
18
17π
theta, equals, start fraction, 17, pi, divided by, 18, end fraction radians to degrees.
Express your answer exactly.
\theta=θ=theta, equals
^\circ
Ф= ?
Answers
180º = π rad
So
(17π/18 rad) * (180/π º/rad) = (17π * 180)/(18 * π) º = 170º
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.
Answers
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
Which is the best estimate of the circumstances of this circles 2
Answers
Answer:
12 is the best estimate
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 >
Answers
Answer:
the first set of numbers
Step-by-step explanation:
the first set if numbers shows all the factors of 18
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?
Answers
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
solve for x. x+y = 14
Answers
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
5x + 8 = ______, when x = 4
Answers
Answer:
28
Step-by-step explanation:5 times 4 plus 8 is 28
Help asap! Giving brainliest!
Answers
Answer:
A D E
Step-by-step explanation:
Answer:e
Step-by-step explanation:
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
Answers
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.
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.
Answers
Answer:
b
Step-by-step explanation:
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.
Answers
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
https://brainly.com/question/795909
Identify the graph of y=2^x+3
Answers
could you show me a picture so maybe i can answer it please
Owners of a minor league baseball team believe that a Normal model is useful in projecting the number of fans who will attend home games. They use a mean of 8500 fans and a standard deviation of 1500 fans. Using this model, answer these questions. a. Sketch and clearly label this Normal model, based on the 68-95-99.7 Rule. b. What proportion of the home games will have fewer than 6000 fans in attendance
Answers
Answer:
a) [tex] \mu -\sigma = 8500 -1500 = 7000[/tex]
[tex] \mu +\sigma = 8500 +1500 =10000[/tex]
[tex] \mu -2*\sigma = 8500 -2*1500 = 5500[/tex]
[tex] \mu +2*\sigma = 8500 +2*1500 =11500[/tex]
[tex] \mu -3*\sigma = 8500 -3*1500 = 4000[/tex]
[tex] \mu +3*\sigma = 8500 +3*1500 =13000[/tex]
On the figure attached we have the illustration for required showing the percentages and the limits for each case
b) [tex] z= \frac{6000-8500}{1500}= -1.67[/tex]
And using the normal standard table or excel we got:
[tex] P(Z<-1.67) = 0.047[/tex]
Step-by-step explanation:
For this case we have the following properties:
[tex] \mu = 8500, \sigma = 1500[/tex]
Part a
And for this case from the empirical rule we know that within one deviation from the mean we have 68% of the values , within two deviation 95% and within 3 deviations 99.7%. So then we can find the limits like this:
[tex] \mu -\sigma = 8500 -1500 = 7000[/tex]
[tex] \mu +\sigma = 8500 +1500 =10000[/tex]
[tex] \mu -2*\sigma = 8500 -2*1500 = 5500[/tex]
[tex] \mu +2*\sigma = 8500 +2*1500 =11500[/tex]
[tex] \mu -3*\sigma = 8500 -3*1500 = 4000[/tex]
[tex] \mu +3*\sigma = 8500 +3*1500 =13000[/tex]
On the figure attached we have the illustration for required showing the percentages and the limits for each case
Part b
For this case we want to find this probability:
[tex] P(X<6000)[/tex]
We can calculate the number of deviation below the mean with the z score formula given by:
[tex] z = \frac{X -\mu}{\sigma}[/tex]
And replacing we got:
[tex] z= \frac{6000-8500}{1500}= -1.67[/tex]
And using the normal standard table or excel we got:
[tex] P(Z<-1.67) = 0.047[/tex]
what is the measure of angle A?
Answers
Answer:
A = 77.32
Step-by-step explanation:
sin theta = opp/ hypotenuse
sin A = 80/82
sin A = 40/41
Take the inverse sin of each side
A = sin ^-1 (40/41)
A =77.31961651
To the nearest hundredth
A = 77.32
A certain manufacturing company has the following data on quantities shipped and unit costs for each of its four products.
Products
Base-Period
Quantities (Year 1)
Mean Shipping Cost
per Unit ($)
Year 1
Year 5
A
1,500
10.50
15.90
B
5,000
16.25
33.00
C
6,500
12.20
18.40
D
2,500
20.00
35.50
Use the price data to compute a Paasche index for the shipping cost if year 5 quantities are 4,000, 3,000, 8,000, and 3,000 for products A, B, C, and D, respectively. (Round your answer to the nearest integer.)
I5 =
Answers
Answer:
Paasche's Index= 168.63= 169
Step-by-step explanation:
Products
Base-Period Current Period
Quantities Mean Shipping Quantities Mean Shipping
(Year 1) Cost per Unit ($) (Year 5) Cost per Unit ($)
A 1,500 10.50 4000 15.90
B 5,000 16.25 3000 33.00
C 6,500 12.20 8000 18.40
D 2,500 20.00 3000 35.50
Paasche's Index= ∑ pn.qn/∑po.qn* 100
Where pn is the price of the current year and qn is the quantity of the current year and po. is the price of the base year and qo. is the quantity of the base year.
Paasche's Index is the percentage ratio of the aggregate of given period prices weighted by the quantities sold or consumed in the given period to the aggregate of the base period prices weighted by the given period quantities.
Multiplying the current year prices with the current year quantities and the base year price with the current year quantities we get.
Product pn.qn po.qn
A 15.90* 4000 10.50* 4000
= 63600 =42000
B 33.00*3000 16.25 * 3000
= 99000 = 48750
C 18.40* 8000 12.20 *8000
=147200 =97600
D 35.50* 3000 20.00*3000
=106500 60,000
∑ 416300 248350
Paasche's Index= ∑ pn.qn/∑po.qn= 416300/ 248350 *100 = 1.676=1.68= 168.63= 169
solve the system of equations
Answers
Answer:
r=idk
y=idk
Step-by-step explanation:
Year
2006
2008
2010
2015
2018
Value ($)
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.
Answers
Answer:
is there a picture
Step-by-step explanation:
