Answer: 147 Degrees
Step-by-step explanation
The size of the final unknown interior angle in a polygon is 147 degrees.
Given that,
The other interior angles are 162°, 115°, 120°, 148° and 85°.
We assume that there is an equation (2n - 4) 90.
Here n be 7.
Based on the above information, the calculation is as follows:
= (2n - 4) 90
= ((2) (7) - 4) 90
= 10 (90)
= 900
Now the size of the unknown interior angle is
= 900-(162+125+148+105+98+115)
= 900 - 753
= 147°
Therefore we can conclude that the size of the final unknown interior angle in a polygon is 147 degrees.
need help on this ratio question 4:8 in simplist form then into a fraction?
Answer:
4:8 in simplified form would be 1/2
Step-by-step explanation:
Think of 4:8 as a fraction, so 4/8. Now, you can reduce it to the lowest form, which is 1/2. How? 4 is the numerator, and 8 is our denominator. Now, we divide 4 by 8. 4 divided by 8 equals 0.5, where 0.5 is converted into 1/2!
PLS HELPpppppppppppp ;0
Answer:
reflection
Step-by-step explanation:
by examination
Answer:
A reflection off the x axis
Step-by-step explanation:
Hope this helps!!!
Use the law of sines to find the value of y. round to the nearest tenth. law of sines: startfraction sine (uppercase a) over a endfraction = startfraction sine (uppercase b) over b endfraction = startfraction sine (uppercase c) over c endfraction 1.4 units 1.6 units 2.5 units 2.6 units
Using the law of sine on the given triangle, we get the measure of y as given by: Option C: 2.5 units
What is law of sines?For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,
we have, by law of sines,
[tex]\dfrac{\sin\angle A}{a} = \dfrac{\sin\angle B}{b} = \dfrac{\sin\angle C}{c}[/tex]
Remember that we took
[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]
For this case, the missing image is attached below.
Applying the sine law, as we have:
The side opposite to angle Y is XZ of length y units,The side opposite to the angle Z is XY of length 2 units,The side opposite to the angle X is YZThe first two angles Y and Z are enough. (we use angle Z as the length of the side opposite to Z is known).
Using sine law, we get:
[tex]\dfrac{\sin(m\angle Y)}{y} = \dfrac{\sin(m\angle Z)}{2}\\\\y = \dfrac{\sin(75^\circ) \times 2}{\sin(50^\circ)} \approx 2.522 \approx 2.5 \: \rm units[/tex]
Thus, using the law of sine on the given triangle, we get the measure of y as given by: Option C: 2.5 units
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Adjacent --------------------- Vertical
DBC and ABC
ABC and DBE
CBD and EBA
EBA and ABC
put them where they're supposed to go
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Adjacent Angles are the angles that shares a common arm, where as the vertical angles are the ones that are exact opposite to each other.
Now, since we know the concept, let's dig in ~
DBC and ABC - Adjacent ABC and DBE - Vertical CBD and EBA - VerticalEBA and ABC - AdjacentI need help on this question
Answer:
ans: 4/729
Step-by-step explanation:
here,
-2 ^2 = 4
and
(3^3)^2 = 3^6 = 729
= 4/729
Help me pls
-3^3(-8n^3-3n^2)
The sales tax in your state is 5%. If a car cost 16,700 what is the total cost, including tax.
Answer:
17,535 dollars
Step-by-step explanation:
5% of 16,700 is 835, so add the two together and you get your answer.
which experssion is equivalent to 5(4x+3)-2x
Answer:
18x + 15
Step-by-step explanation:
First, deal with the first part of the question:
5(4x+3)
We multiply the outside of the brackets with the inside. So, we do
5 x 4x = 20x
and 5 x 3 = 15
then put them together:
20x+15
Now, the second part:
- 2x
We cannot simplify this further so we put the two parts together:
20x + 15 - 2x
Collect like terms (20x - 2x) =
18x + 15
I hope this helped. If you have any further questions, do ask.
- profparis
separate into real and imaginary parts and find the multiplicative inverse of √2+i/√2-i (only 2 is in the √
The multiplicative inverse for √2-i = 1/(√2+1) and The multiplicative inverse is √2+1 = 1/(√2-1)
Real and Imaginary Numbers/Complex NumbersGiven Data
First expression = √2+iSecond expression = √2-iFor√2+i
the real part is is √2 and the imaginary part is i
The multiplicative inverse is √2+1 = 1/(√2-1)
rationalising the denominator we have
= 1/√2-1 * √2-1/√2-1
= √2-1/(√2-1)*(√2-1)
= √2-1/(2-√2-√2+1)
= √2-1/(-2√2+3)
For√2-i
the real part is is √2 and the imaginary part is -i
The multiplicative inverse is √2-1 = 1/(√2+1)
Rationalising the denominator we have
= 1/√2+1 * √2+1/√2+1
= √2+1/(√2+1)*(√2+1)
= √2+1/(2+√2+√2+1)
= √2+1/(2√2+3)
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please just answer don’t explain
Answer:
13 C 14 D 15 A 16 B
Step-by-step explanation:
Sorry thats all i know hope you found this helpful
an architect is designibg a tapered office tower where rge ground floor us the largwst amd the floor space is reduced by 6.3% permifloor if the ground gloor has an arra pf 11,400,0ft2 ehat is tje area of the floor to the nearest tenth of a ft2?
The area of the ground floor after it has been reduced to the nearest tenth is 10,681,800 square foot.
What is the area of the ground floor?In order to determine the area of the ground floor after it has been reduced, the area of the floor has to reduced by 6.3%.
Area that was reduced = 6.3% x 11,400,000 = 718,200
New area = 11,400,000 - 718,200 = 10,681,800 square foot
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What is the constant term in the expression 8xy + 9x2 y − 5x − 2?
−5
−2
8
9
Answer:
-2
Step-by-step explanation:
In the expression [tex]8xy + 9x^2y -5x -2[/tex]
[tex]x[/tex] and [tex]y[/tex] are the variablesThe numbers directly before the variables are the coefficientsThe number that it not attached to a variable is the constant termTherefore, the constant term is -2
Answer: -2 is the constant term in the expression 8xy + 9x2 y − 5x − 2
Step-by-step explanation:
A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
here, we have,
the expression 8xy + 9x2 y − 5x − 2
now, we know that,
constant is the number with no variable attached to it.
-2 is the constant term in the expression 8xy + 9x2 y − 5x − 2.
We want to find the zeros of this polynomial:
p(x) = (x+2) (2x^2 + 3x-9)
Answer:
x = - 2, x = - 3, x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
to find the zeros equate p(x) to zero , then
(x + 2)(2x² + 3x - 9) = 0 ← factor the quadratic
(x + 2)(x + 3)(2x - 3) = 0
equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x + 3 = 0 ⇒ x = - 3
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
express 59/2^4×5^4 in decimal form.
answer asap. Ill mark brainliest
Answer:
~Male Y/n here~ I think this would be your question in decimal form,
2304.6875
(Hope this helps!)
Scientists developed a maze for rats that has 555 compartments, and each compartment had a different food. In each trial, scientists would record which compartment the rat went to first. They were curious if the rats favored some compartments more than others. Here are the results from 1000 trials.
The expected count that can be deduced from the arrivals to the second compartment will be 200.
How to calculate the expected count?It should be noted that in order to perform a goodness of fit test, the expected number of rats that are in each compartment will be gotten.
Therefore, the expected number of rats that will be in the second compartment will be:
= 1/5 × 1000
= 200
In conclusion, the correct option is 200.
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Mrs. Orrie surveyed all classes that he teaches about the three different types of music thay students most listen to. His findings are displayed in the Venn diagram below.
Part A: Determine the probability that a student will like Top-Hits.
Part B: Determine the probability that a student will like country or R&B.
Part C: Determine the probability that a student will not like all three generes of music.
Using the probability concept, it is found that there is a:
A. 0.5116 = 51.16% probability that a student will like Top-Hits.
B. 0.7907 = 79.07% probability that a student will like country or R&B.
C. 0.9186 = 91.86% probability that a student will not like all three generes of music.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
According to the Venn diagram, there is a total of 18 + 8 + 11 + 7 + 24 + 1 + 17 = 86 students.
Item a:
18 + 11 + 7 + 8 = 44 like top hits, hence:
p = 44/86 = 0.5116.
0.5116 = 51.16% probability that a student will like Top-Hits.
item b:
24 + 11 + 7 + 1 + 17 + 8 = 68 like country of R&B, hence:
p = 68/86 = 0.7907.
0.7907 = 79.07% probability that a student will like country or R&B.
Item c:
Only 7 like all three, hence 86 - 7 = 79 do not.
p = 79/86 = 0.9186.
0.9186 = 91.86% probability that a student will not like all three generes of music.
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Which statement is true about the transformation?
It is isometric because not all side lengths and angle measures remained the same.
It is isometric because all side lengths and angle measures remained the same.
It is not isometric because not all side lengths and angle measures remained the same.
It is not isometric because all side lengths and angle measures remained the same.
Answer:
B. It is isometric because all side lengths and angle measures remained the same
Step-by-step explanation:
Answer:
B) It is isometric because all side lengths and angle measures remained the same.
Step-by-step explanation:
Got it right on edge <3
A store is open for business while it is being renovated. The noise from the renovation is increasingly driving
away customers. The daily revenue, r (d), the store has made d days since renovation began is modeled by the
function r (d) = 10,000 (0. 939)d. What is the factor of decay in this function?
A
1. 9539
B
10,000
с
0. 0461
D
0. 9539
The factor of decay in the function that represents the daily revenue of the store is 0.939.
What is the factor that represents decay?
The factor that represents decay is the factor that reduces the growth rate of revenue for this store. In the given function, the factor that represents decay would have a value that is less than one.
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You have a coupon for 35% off any purchase over $15 at a pizza shop. If your order totals $18, how
much do you have to pay?
Answer:
11.7
Step-by-step explanation:
I think that is right because you have to - 35%
Find f(2) if f(x)=2x+1
[tex]f(x) =2 x+1 \\\\ \text{If x = 2,}\\\\f(2) = 2(2) +1 = 4+1 = 5[/tex]
Answer:
5
Step-by-step explanation:
plug 2 in for x
f(2) = 2(2) + 1
f(2) = 5 [Asnwer]
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
A letter is randomly selected from the word “PINEAPPLE.” Which is
more likely, selecting "E” or selecting "P?" Explain your reasoning.
Answer:
e= 2/9
p= 3/9
Step-by-step explanation:
p is the answer
The more likely probability is selecting the letter P from the word “PINEAPPLE.”
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
To determine which letter is more likely to be selected, "E" or "P," we need to compare the number of occurrences of each letter in the word "PINEAPPLE."
In the word "PINEAPPLE," there is only one occurrence of the letter "E."
And , there are three occurrences of the letter "P" in the word "PINEAPPLE."
Therefore, the probability of selecting E = 2/9
And , the probability of selecting P = 3/9
Hence , it is more likely to select the letter P than E
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#SPJ2
6.005= as what percent
Answer:
[tex]\displaystyle 600\frac{1}{2}\%[/tex]
Explanation:
Just move the decimal mark twise to the right and you will arrive at your result.
I am joyous to assist you at any time.
Answer quick and show work!
Aj and his two friends went out to dinner and the meal's total was $100. They decided to give the server a 20% tip. How much money will the total bill be?
Answer:
$120
Step-by-step explanation:
A.
when are non-forfeiture provisions used?
when the insured names a beneficiary
b. when the insured stops making premium payments on a cash value policy
c. when the insured converts a term policy
d. when the insured dies and there is a settlement
Answer: should be B
Step-by-step explanation:
Dion is performing a hypothesis test in which the population mean is 92 and the standard deviation is 2. His sample size is 7 with a mean of 93. 5. Which of the following correctly depicts the z-statistic for this data? 0. 28 0. 36 1. 98 2. 63.
The value of the z statistic for the considered data is given by: Option C: 1.98 approximately.
How to find the z score (z statistic) for the sample mean?If we're given that:
Sample mean = [tex]\overline{x}[/tex] Sample size = n Population mean = [tex]\mu[/tex] Sample standard deviation = sThen, we get:
[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]
If the sample standard deviation is not given, then we can estimate (in some cases) it by:
[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]
where [tex]\sigma[/tex] = population standard deviation
For this case, we're specified that:
Sample mean = [tex]\overline{x}[/tex] = 93.5Sample size = n = 7Population mean = [tex]\mu[/tex] = 92Population standard deviation = [tex]\sigma[/tex] = 2Thus, the value of the z-statistic is evaluated as:
[tex]z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{93.5 - 92}{2/\sqrt{7}} \approx 1.98[/tex]
Thus, the value of the z statistic for the considered data is given by: Option C: 1.98 approximately.
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THIS IS MY LAST QUESTION PLEASE HELP ME
Zion Sun Chairs manufactures 3,575 beach chairs each month. Determine the minimum sales price
Zion Sun Chairs must sell each chair for to break even if the total annual fixed costs are $17,363.50
and the variable cost per chair is $52.17.
O $57.03
O $64.50
O $81.25
O $79.65
Answer:
81.25
Step-by-step explanation:
the temperature is currently 0°C and
has been falling at a constant rate of 3°C per hour.
If it continues fall at this rate, what will the temperature be:
• in 2 hours?
Answer:-6°
Step-by-step explanation:
-3° the first hour -6° the next
Cover the entire area except for today's date and year April, 1st, Monday
Answer:
It's friday for me so here u go
Step-by-step explanation:
A textile factory uses a 43 pound bucket of dye to color a roll of fabric that is
1,067 feet long. if the company has 4 buckets of dye, can it color 5 rolls of
fabric?
Answer:
No
Step-by-step explanation:
At one bucket per roll, four buckets will color four rolls, not 5.
__
The company cannot color 5 rolls of fabric with 4 buckets of dye.
Write x=2 in Slope intercept form
Answer:
y= 2/1 + 0
Step-by-step explanation:
If there's not a y-int. it'll be 0.