Answer:
60
Step-by-step explanation:
find the missing angle in triangle HAI =60.
VERTICALLY OPPOSITE ANGLES ARE EQUAL.=60
Angle x is alternating with the angle.
Answer:
\(x = 60 \: \: degrees\)
Step-by-step explanation:
Lets take LAH angle as 'y'\(61 + 59 + y = 180 \\ 120 + y = 180 \\ y = 180 - 120 \\ y = 60 \: \: degrees\)
\(y = x(corresponding \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: angles) \\ 60 = 60 \\ \\ \)
\(x = 60 \: \: degrees\)
Please explain this to me step by step. Thanks!
Answer:
Step-by-step explanation:
14) Amount in Harper's school lunch account = $ 75
Cos of one meal = $ 3.25
Cost of 'm' meals = 3.25 * m = 3.25m
Balance amount in Harper's account after getting 'm' meals = $ 19.75
Total amount - Cost of 'm' meals = 19.75
75 - 3.25m = 19.75
To find the value of 'm', isolate m. To isolare m subtract 75 from both sides
-3.25m = 19.75 - 75
-3.25m = -55.25
Now divide both sides by (-3.25)
m = -55.25/(-3.25)
m = 17
15) Starting height = 24 ft
Height after t seconds = 4.5*t = 4.5t
To see the river, the drone should reach the height atleast 330 ft above the ground. ⇒ It should be at the height greater than or equal to 330 ft
Initial height + height after 't' seconds ≥ 330
24 + 4.5t ≥ 330
Subtract 24 from both sides
4.5t ≥ 330 - 24
4.5t ≥ 306
Divide both sides by 4.5
t ≥ 306/4.5
t ≥ 68
He will be able to see the river from 68 seconds ( 1 minute 8 seconds) and above.
No, Imani will not be able to the river after the drone has been raising for one minute. At 1 minute 8 seconds Imani will start seeing the river. So at one minute, the drone will not have reached the required height .
Find the product. Equation is below.
Answer:
12x^3 + 19x^2 + x - 5
Step-by-step explanation:
To solve this, I set up the problem like this:
(3x^2 + x - 1)(4x + 5)
Now, just distribute everything from the first set of ( ) to the second set of ( ). Here's what you should have when you do that:
12x^3 + 15x^2 + 4x^2 + 5x - 4x - 5
Now, you would just combine like terms, which would get you to the final answer.
Hope this helps!
12x³ + 19x² + x -5
Step-by-step explanation:Polynomials are expressions that have multiple terms.
Breaking Apart Polynomials
When multiplying by a polynomial, we can break apart one of the polynomials, and multiply by each term individually. This means to multiply 3x² + x - 1 by 4x + 5, we can break apart the binomial into its separate terms. Instead of trying to multiply everything at once, we can multiply the trinomial by 4x and then multiply the trinomial by 5. Finally, add together the 2 products for the final answer.
Multiplying Polynomials
First, let's multiply the trinomial by 4x.
4x(3x² + x - 1)To find the product, multiply each term of the trinomial by 4x, then add them back together.
4x * 3x² = 12x³4x * x = 4x²4x * -1 = -4xSo, the first product is 12x³ + 4x²- 4x. Next, let's multiply 5(3x² + x - 1) the same way.
5 * 3x² = 15x²5 * x = 5x5 * -1 = -5This means that the second product is 15x² + 5x - 5. Finally, let's add the 2 products together.
(12x³ + 4x²- 4x) + (15x² + 5x - 5)Then, simplify the expression.
12x³ + 19x² + x - 5This gives us our final answer. The product of 3x² + x - 1 and 4x + 5 is 12x³ + 19x² + x - 5.
the question is in the picture :)
Answer:
Angle N= 5×18°=90°
Angle O=4×18°=72°
Angle M=1×18°=18°
Step-by-step explanation:
Let M be 1 unit
Angle N is 5 units
Angle O is 4 units
5+4+1 =10 unites
All angles in a triangle add up to 180°
180°÷10=18° per unit
Angle N= 5×18°=90°
Angle O=4×18°=72°
Angle M=1×18°=18°
The distance on a map between a student’s house and her job is 6 cm. On the same map, the distance between her house and her school 8 cm. The actual distance from her house to school is 12 km. If d represents the approximate distance in km between her house and her job, what is d? A. 4 km B. 9 km C. 48 km D. 16 k
The approximate distance in km between her house and her job is 9 km.
What is the approximate distance?The map is a scale drawing of the places mentioned. A scale drawing is a smaller image of a larger place or diagram.
The scale of the map = 8cm : 12km
Distance between the house and the job = (12 x 6) / 8 = 9m
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a box contains 90 balls numbered from 1 to 90. if 8 balls are drawn with replacement, what is the probability that at least two of them have the same number?
The probability that at least two of the balls have the same number is 27.40%
What is probability?Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.
Probability requested is equivalent to:
P(at least 2 have same number) = 1 - P(no 2 have the same number)
P(no 2 have same number) = No. of ways to succeed / No. of possible outcomes
No. of ways to succeed = 90P8
No. of possible outcomes = 90^8
No. of ways to succeed =
nPr = n! / (n-r)!
90P8 = 90! / (90-8)!
90P8 = 90! / (82)!
90P8 = 90*89*88*87*86*85*84*83*82! / [(82)!
90P8 = 90*89*88*87*86*85*84*83
90P8 = 3.13x10^15
P(no 2 have same number) = 3.13x10^15 / 90^8
P(no 2 have same number) = 0.73
P(at least 2 have same number) = 1 - P(no 2 have the same number)
P(at least 2 have same number) = 1 - 0.73
P(at least 2 have same number) = 0.2740 = 27.40%
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Find the value of x for which ABCD must be a parallelogram.
Maya open a savings account that pays 3.5% annual interest compounded semiannually.If she deposited $2,000 into the account and made no other deposits or withdrawals, how much money did she have in the account after one year?
use the properties of operations to multiply (-2.7x + 4) (-0.2x)
Answer:
0.54x² - 0.8x
Step-by-step explanation:
(-2.7x + 4) (-0.2x)
we open the brackets by multiplication of the terms
0.54x² - 0.8x
if g(x)=2x-10 g(-1) is??
Answer:
-12
Step-by-step explanation:
g(-1) = 2(-1) - 10 = - 2 - 10 = -12
x-intercepts: (-2, 0), (3, 0)
y-intercept: (0, 4)
Answer: The x-intercepts of the line are points where the y-coordinate is equal to 0. The x-intercepts of this line are (-2, 0) and (3, 0). The y-intercept is the point where the x-coordinate is equal to 0, which in this case is (0, 4).
Step-by-step explanation:
Which property of equality is used to solve LaTeX: -15.75=2.5x− 15.75 = 2.5 x ?
Answer:
any want zo. om. id=2139350377
pass=7neBw6
Jack is 12 years older than Brian. Two years from now, Jack will be twice as old as Brian. How old is Brian?
Please don't add a link.
Answer:
Step-by-step explanation:
I would appreciate it if you can help me with this.
Answer:
\(450000 \leqslant 15000 + 4t\)
Which recursive sequence would produce the sequence 4 , − 6 , 4
The recursive sequence that produces the sequence 4, -6, 4 is:
4, -6, 4, -6, 4, ...
What is recursive sequence?A function that refers back to itself is referred to as a recursive sequence. Here are a few recursive sequence examples. Because f (x) defines itself using f, f (x) = f (x 1) + 2 is an illustration of a recursive sequence.
To generate the sequence 4, -6, 4 using a recursive sequence, we can use the following formula:
\(a_n = a_{n-1} + (-1)^{n+1} * 10\)
where \(a_n\) is the nth term of the sequence.
Using this formula, we get:
\(a_1 = 4\\a_2 = 4 + (-1)^{2+1} * 10 = -6\\a_3 = -6 + (-1)^{3+1} * 10 = 4\)
Therefore, the recursive sequence that produces the sequence 4, -6, 4 is:
4, -6, 4, -6, 4, ...
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The vertices of a rectangle are A(-2, 4), B(-2,6), C(3,6), and D(3, 4). Which expression
shows how to find the length of the diagonal?
Answer:
Third option correct
Step-by-step explanation:
The diagonal is the distance between 2 of the vertices, and to end.
So the option we shall choose will contain 2 of the vertices in a distance between points equation.
Mathematically, the distance between two points is given by;
D = √(x2-x1)^2 + (y2-y1)^2
The correct option is the third option.
This is because it takes into consideration two of the vertices which are points A and point C
Answer: c the third one
Step-by-step explanation:
what is the scale factor of Triangle ABC to Triangle DEF?A. 3 B. 1/2C. 2D. 1/3
If we have the triangle ABC and we want to obtain the triangle DEF, we need to multiply every side of the triangle ABC by 3 as:
5 * 3 = 15
4 * 3 = 12
3 * 3 = 9
So, the scale factor of triangle ABC to triangle DEF is 3
Answer: 3
Exercise 3-23A (Algo) Using ratio analysis to assess financial risk LO 3-5
The following information was drawn from the balance sheets of two companies. Company Assets = Liabilities + Equity
East 206,000 91,000 115,000
West 603,000 169,000 434,000
Required
a. Compute the debt-to-assets ratio to measure the level of financial risk of both companies. B. Compare the two ratios computed in requirement a to identify which company has the higher level of financial risk
The answer based on debt to assets ratio for east and west company are,
East company debt to assets ratio is equal to 0.44.
West company debt to assets ratio is equal to 0.28.
After comparing both the company debt to assets ratio East company is at higher level of financial risk.
Assets = Liabilities + Equity
For East company,
206,000 = 91,000 + 115,000
Assets = 206,000
liabilities = 91,000
Equity = 115,000
For West company,
603,000 = 169,000 + 434,000
Assets = 603,000
liabilities = 169,000
Equity = 434,000
Debt-to-assets ratio = Total liabilities divided by the total assets.
Debt-to-assets ratio for East
= 91,000 / 206,000
= 0.44
Debt-to-assets ratio for West
= 169,000 / 603,000
= 0.28
Comparing the two ratios,
0.44 > 0.28
This implies,
Company East has a higher debt-to-assets ratio is greater than the compared to Company West.
This represents that Company East has a higher level of financial risk.
As larger proportion of their assets are financed through debt.
This shows it is difficult to repay if the company experiences financial difficulties.
Company West has a lower level of financial risk as smaller proportion of their assets are financed through debt.
Therefore, the answer of the following questions are,
Debt to asset ratio of east company = 0.44
Debt to asset ratio of west company = 0.28
Company east has a higher financial risk level .
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WILL GIVE BRAINLIEST
Select the graph of the solution. Click until the correct graph appears.
| x | = 2
Answer:
It is the second graph, the one with two filled in dots, but no line.
Step-by-step explanation:
The reason it is not the first one is because it has not filled in dots, AND no line, so it's basically saying there is no answer, which is not true.
The reason the third one (the one with a line) is wrong is because, for example, x cannot be 1, because 1 ≠ 2, and if there is a line, it should be true.
Answer:
its the awnser with the 2 not the -2
Step-by-step explanation:
Work out the area of this circle give your answer in terms of pi and state it’s unit
Answer:
what circle
Step-by-step explanation:
Pleaseee help me ASAP, I’m confused and if you are too please don’t just answer for the credits at least read carefully then try to help :(
Answer:
BBEFI or HLast one could be either "Prove" or "CPCTC"
Which best describes what the Central Limit Theorem states? The distribution of means of random samples pulled from a population will be normally distributed if the sample size is large enough. All distributions have the same mean. The distribution of standard deviations of random samples pulled from a population will be normally distributed if the sample size is large enough. All distributions are close enough to normally distributed to use the normal distribution as a approximation.
The statement that best describes the Central Limit Theorem is (a) The distribution of means of random samples pulled from a population will be normally distributed if the sample size is large enough.
The Central Limit Theorem (CLT) states that if repeated random samples is taken from a population with a finite mean and standard deviation, then the distribution of the sample means will approach a normal distribution, even if the original population is not normally distributed.
The larger the sample size, the more closely the sample means will approximate a normal distribution.
which means that, for example, if we take multiple samples of size 100 from a population and calculate the average of each sample, the distribution of those sample means will be approximately normally distributed, regardless of the original shape of the population.
The given question is incomplete , the complete question is
Which best describes what the Central Limit Theorem states ?
(a) The distribution of means of random samples pulled from a population will be normally distributed if the sample size is large enough.
(b) All distributions have the same mean.
(c) The distribution of standard deviations of random samples pulled from a population will be normally distributed if the sample size is large enough.
(d) All distributions are close enough to normally distributed to use the normal distribution as a approximation.
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At the start of the day, a painter rested a
3 m ladder against a vertical wall so that
the foot of the ladder was 50 cm away
from the base of the wall.
During the day, the ladder slipped down
the wall, causing the foot of the ladder to
move 70 cm further away from the base
of the wall.
How far down the wall, in centimetres, did
the ladder slip?
Give your answer to the nearest 1 cm.
The difference of ladder slip is, 4 cm.
What is sliding down ladder?
A ladder can be quickly lowered by sliding down it. This function can keep the action going while descending a ladder and is present in many contemporary video games. Typically, a figure descends a ladder by placing their hands and feet on the exterior of the structure and letting themselves slide down it effortlessly.
Given: At the start of the day, a painter rested a 3 m ladder against a vertical wall so that the foot of the ladder was 50 cm away from the base of the wall.
During the day, the ladder slipped down the wall, causing the foot of the ladder to move 70 cm further away from the base of the wall.
Here 3m = 300 cm
So,
\(CE = \sqrt{BE^2-BC^2}= \sqrt{(300)^2-(50)^2} = 295 cm\)
\(DC = \sqrt{AD^2 - AC^2} = \sqrt{(300)^2-(70)^2}= 291cm\\\)
Hence, the difference of ladder slip is,
295 cm - 291 cm = 4 cm.
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What is the volume of this sphere?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
The answer is 4186. 67
Step-by-step explanation:
\(v = \frac{4}{3} \times 3.14 \times {(10)}^{3} \\ v = 4186.66666 \\ v = 4186.67\)
I am a math teacher If you need any explanation you can communicate with me on Whats on this number 01557831028
find the value of x.
Answer:
x = 116
Step-by-step explanation:
The sum of the angles of a 4 sided polygon is 360
96+x+64+84 = 360
Combine like terms
x+244=360
Subtract 244 from each side
x+244-244=360-244
x = 116
Sum of all angles of a quadrilateral = 360°
So, 96° + 84° + 64° + x° = 360°
=> 244° + x° = 360°
=> x° = 360° - 244°
=> x° = 116°
=> x = 116
what is the slope of (-4,-9) and (4,-9)
Answer: m (slope) = 0
Step-by-step explanation:
The slope can be found through the equation (y2-y1)/(x2-x1)
(-4, -9) and (4, -9) can be: (x1, y1) and (x2, y2)
We can plug the variables into the formula above:
(-9-(-9))/(4-(-4) = 0/8
The slope is 0.
Answer: slope=0
Step-by-step explanation:
usually slopes are found by taking
change in y
-----------------
change in x
but in all horizontal lines (matching y values, -9 in this case) the line has no slope as it doesn't go up or down.
Which expression is equivalent to h + 7 + 2h + 8?
3h + 15
8h + 10
18
18h
A book seller gains 30% on the cost price by selling a book for $130.Calculate the cost price of the book.
Answer:
Let the cost price be x
Selling price, S.P. = 130Gain % = 30%\(\rm{C.P. = \dfrac{S.P. \times 100}{100+ gain \% }}\)
\(\rm{C.P. = \dfrac{130 \times 100}{100+30}}\)
\(\rm{ C.P. = \dfrac{130}{30} }\)
\(\large{\boxed{\rm{ C.P. = \dfrac{13}{3}}}}\)
The diagram shows a prism …,
Answer:
See figure below.
Step-by-step explanation:
See the figure below.
I need help ASAP!!! I don't understand how to do this please show the work too
Find the phasor representation of the following current: i=[300cos(200t+45∘)−100sin(200t−30∘)]A
The phasor representation of the given current expression is i = 150√2e²(j200t) + 50je²(j200t)
To find the phasor representation of the given current:
i = [300cos(200t + 45°) - 100sin(200t - 30°)]A
the current expression in terms of a phasor notation using Euler's formula:
i = Icos(ωt + θ) + jsin(ωt + θ)
Where:
I is the amplitude of the current,
ω is the angular frequency,
t is time,
θ is the phase angle,
j is the imaginary unit (j² = -1).
Comparing this form to the given expression,
Icos(ωt + θ) = 300cos(200t + 45°)
jsin(ωt + θ) = -100sin(200t - 30°)
From the first equation identify:
I = 300
θ = 45°
ωt = 200t
From the second equation identify:
I = 100
θ = -30°
ωt = 200t
To convert the given expressions into the phasor notation combine the real and imaginary parts:
i = (Icosθ + jIsinθ)e²(jωt)
For the first term:
Icosθ = 300cos(45°) = 300 × (√2/2) = 150√2
For the second term:
jsinθ = -100sin(-30°) = -100 ×(-1/2) = 50
Combining the real and imaginary parts,
i = (150√2 + 50j)e²(j200t)
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