A triangle has an angle that measures 111°. The other two angles are in a ratio of 6:17. What are the measures of those two angles?
Answer:
18 and 51
Step-by-step explanation:
the sum of the two other angles would be 69 degrees because there has to be 180 degrees in a triangle
given that we can create the equation 6x + 17x = 69 and solve for x
x = 3
so now we can plug in each part of that equation and find out the two angles
The graph of a line is shown. What is the equation of the line shown on the graph?
A. y=-1.25x+4
B. y = -0.8x +4
C. y 4x0.8 X
D. y = 4x 1.25
Answer:
The aswer is B
Step-by-step explanation:
You can find the equetion by calculating the X-intercept and Y-intercept of equetion but You simply find it by it's slop and by b ( y-intersept).
So we use the short cut method
Y= mx + b
The slop is down ward (Q2 to Q4) so it's slop is negative.
and the y-intersept is b which is 4 so these answer consistes in B .
33. DF bisects ZEDG. Find the value of x. The diagram is not to scale.
From the given diagram, we can identify two right-angled triangles. The triangles are shown below:
Using trigonometric ratios, we can find x as follows
\(\begin{gathered} \sin 28^0\text{ = }\frac{7x\text{ + 15}}{DF} \\ \sin 28^0\text{ = }\frac{10x}{DF} \end{gathered}\)We can equate the expressions for DF as follows:
\(\begin{gathered} DF\text{ = }\frac{7x\text{ + 15}}{\sin 28^0} \\ DF\text{ = }\frac{10x}{\sin 28^0} \end{gathered}\)\(\begin{gathered} \frac{7x\text{ + 15}}{\sin28^0}\text{ = }\frac{10x}{\sin 28^0} \\ \text{Cancelling out sin 28}^0 \\ 7x\text{ + 15 = 10x} \end{gathered}\)Solving for x:
\(\begin{gathered} 7x\text{ - 10x = -15} \\ -3x\text{ = -15} \\ \text{Divide both sides by -3} \\ \frac{-3x}{-3}\text{ = }\frac{-15}{-3} \\ x\text{ = 5} \end{gathered}\)Answer:
x = 5
2x+7=27 i need help nolie .
Answer:
x=10
Step-by-step explanation:
2 x 10 = 20+7=27 therefore x=10
Answer:
x=10
Step-by-step explanation:
2x+7=27
2x=27-7
2x=20
2x/2=20/2
x=10
A local cable tv company charges a base fee of $35 per month plus an additional
$12 per month for each additional premium channel. The monthly charges can be
represented with equation C = 35 + 12p, where p is the number of premium channels
and C is the total monthly charge.
A. What would be the monthly charge for the service if you are watching 5
premium channels? Show how you found your answer.
Answer:
95$
Step-by-step explanation:
Since there are 5 premium channels, we multiply the rate of charges by the number of premium channels to get the extra payment.
5 channels x 12$ per channel = 50$
Now we add this to 35 since C= 35 + 12 or 35 plus the premium channel costs
35$ + 50 = 95$
PLS HELP FAST
At a hockey game, a vender sold a combined total of 232 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Number of sodas sold:
Number of hot dogs sold:
The vendor sold 172 sodas and 58 hotdogs at the hockey game.
What is a linear equation?An equation of degree one is known as a linear equation.
A linear equation of two variables can be represented by ax + by = c.
let, the number of soda cans be 'x' and the number of hot dogs be 'y'.
So, From the given information x = 3y and the vendor sold a total of 232.
Therefore, x + y = 232.
3y + y = 232.
4y = 232.
y = 232/4.
y = 58.
So, He sold 58 hot dogs and 3×58 = 172 soda cans.
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Will give brain-list
Omar has a bag that contains pineapple chews, cherry chews, and peach chews. He performs an experiment. Omar randomly removes a chew from the bag, records the result, and returns the chew to the bag. Omar performs the experiment 51 times. The results are shown below:
A pineapple chew was selected 11 times.
A cherry chew was selected 28 times.
A peach chew was selected 12 times.
Based on these results, express the probability that the next chew Omar removes from the bag will be cherry chew as a fraction in simplest form.
Cherry was picked the most which was 28 times out of 51
The probability of picking cherry is 28/51
Which test statistic should be used when computing a confidence interval given only the number in a sample, the sample mean and sample standard deviation?.
T test is used to compute the confidence interval, when the mean and standard deviation is given.
What is Standard Deviation?
The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be very close to the set mean. The lower case Greek letter (sigma), again for population standard deviation, or even the Latin letter s, again for sample standard deviation, are most frequently used in mathematical texts and equations to represent standard deviation. Standard deviation may be abbreviated as SD. A random variable, specimen, statistical population, data set, as well as probability distribution's standard deviation is equal to the square root of its variance. When the number in a sample, sample mean and sample standard deviation is given, the test statistic that should be used when computing a confidence interval is t test
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I'LL GIVE BRAINLIST
Select all the rates that are unit rates.
Answer:
B and D
Step-by-step explanation:
1 of 3
?
↑
Enter the next 3 terms from the geometric sequence below.
3, 6, 12,...
T4= 0 T5 = 0 T6 = O
Answer:
24, 48, 96
Step-by-step explanation:
to find the next term in a geometric sequence, multiply the previous term by the common ratio r
r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{6}{3}\) = 2 , then
a₄ = a₃ × 2 = 12 × 2 = 24
a₅ = a₄ × 2 = 24 × 2 = 48
a₆ = a₅ × 2 = 48 × 2 = 96
the next 3 terms are 24, 48, 96
Ross says a $125.95 skateboard at 40% off is cheaper than a $169.95 skateboard at 60% off. Is he correct?
Answer:
Ross isn't right.
Step-by-step explanation:
Skateboard $125.95 at 40% off is $75.57
How I got the number:
125.95/100 = 1.2595
1.2595 x 40 = 50.38
125.95 - 50.38 = 75.57
Skateboard $169.95 at 60% off is $67.98
169.95/100 = 1.6995
1.6995 x 60 = 101.97
169.95 - 101.97 = 67.98
Therefore the skateboard that is 60% off is cheaper.
PLEASE HELP
This work is called systems of Linear Inequalities
The system of linear inequalities has an algebraic solution of 3 - x/2 ≤ y < x/2 + 4 and a graphical solution of (-4, 2) and (0, 2)
System of Linear InequalitiesA system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.
In the question given, the inequalities are;
y < 1/2x + 4 ....1
x + 2y ≥ 6 ...2
Solving for both inequalities;
The solution is given as 3 - x/2 ≤ y < x/2 + 4
This can be represented on a graph as and it has a solution of (-4, 2) and (0, 2) graphically.
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2a + 3b = 5
b = a - 5
Answer for A:
\(a = \frac{5 - 3b}{2} \)
Answer for B:
\(b = \frac{5 - 2b}{3} \)
2nd Equation:Answer:
\(a = b + 5\)
hope it helps.
Which of the following is the quotient of the rational expressions shown
below? Make sure your answer is in reduced form.
7x²
3x-5
2x+6 x+3
OA.
OB.
O C.
O D.
O E.
21x³-35x2
2x² +12x+18
7x²
6x-10
7x³ +21x²
6x² +8x-30
6x-10
7x²
6x² +8x-30
7x³+21x²
The quotient of the rational expressions shown above is given by, Answer: option (C) 7x²/6x-10
To simplify the expression 7x² / 3x-5 / 2x+6 / x+3
We need to perform the following steps:
Invert the divisor.
Change the division to multiplication.
Factor the numerator and denominator.
First, divide the first term in the numerator (7\(x^2\)) by the first term in the denominator (2x) to get 3.
Then multiply (2x + 6) by 3 to get 6x + 18 Subtract this from the numerator.
2x + 6 | 7\(x^2\) + 3x - 5
- (6x + 18)
_______
-3x - 23
Then subtract the following term from the numerator: -3x.
Dividing -3x by 2x gives -3/2.
Multiply (2x + 6) by -3/2. The result is -3x - 9.
Subtract this from the previous result.
3 - (3/2)x
_________
2x + 6 | - 14
The result of polynomial long division is -14.
Therefore, the quotient of the rational expression is (7\(x^2\) + 3x - 5) / (2x + 6) -14.
So the correct answer is option D: -14.
Cancel out any common factors.
Multiply the remaining terms to get the answer.
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How do I find the inverse transform?
H(z) = (z^2 - z) / (z^2 + 1)
The inverse transform of a signal H(z) can be found by solving for h(n). The inverse Z-transform can be obtained by;h(n) = [(-1/2) ^ (n-1) sin(n)] u(n - 1)
The inverse transform of a signal H(z) can be found by solving for h(n).
Here’s how to find the inverse transform of
H(z) = (z^2 - z) / (z^2 + 1)
1: Factorize the denominator to reveal the rootsz^2 + 1 = 0⇒ z = i or z = -iSo, the partial fraction expansion of H(z) is given by;H(z) = [A/(z-i)] + [B/(z+i)] where A and B are constants
2: Solve for A and B by equating the partial fraction expansion of H(z) to the original expression H(z) = [A/(z-i)] + [B/(z+i)] = (z^2 - z) / (z^2 + 1)
Multiplying both sides by (z^2 + 1)z^2 - z = A(z+i) + B(z-i)z^2 - z = Az + Ai + Bz - BiLet z = i in the above equation z^2 - z = Ai + Bii^2 - i = -1 + Ai + Bi2i = Ai + Bi
Hence A - Bi = 0⇒ A = Bi. Similarly, let z = -i in the above equation, thenz^2 - z = A(-i) - Bi + B(i)B + Ai - Bi = 0B = Ai
Similarly,A = Bi = -i/2
3: Perform partial fraction expansionH(z) = -i/2 [1/(z-i)] + i/2 [1/(z+i)]Using the time-domain expression of inverse Z-transform;h(n) = (1/2πj) ∫R [H(z) z^n-1 dz]
Where R is a counter-clockwise closed contour enclosing all poles of H(z) within.
The inverse Z-transform can be obtained by;h(n) = [(-1/2) ^ (n-1) sin(n)] u(n - 1)
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Q 42 - The proportion of salary of An and B is 5:3 and that of their use is 9:5. On the off chance that they spare Rs. 2600 and Rs. 1800, then their livelihoods are: A-9000, 5400 B-10000, 6000 C-6000, 3600
Answer: Let's solve this problem step by step.
First, let's assume the salaries of An and B to be 5x and 3x, respectively, where x is a common multiplier.
According to the given information, they save Rs. 2600 and Rs. 1800, respectively. Since savings come from the remaining portion of their incomes after spending, we can calculate their expenditures as follows:
For An:
Income of An = Salary of An + Savings of An
Income of An = 5x + 2600
For B:
Income of B = Salary of B + Savings of B
Income of B = 3x + 1800
Now, let's consider the proportion of their expenditures. It is given that the proportion of their expenditures is 9:5. So, we can write the following equation:
(Expenditure of An)/(Expenditure of B) = 9/5
Since expenditure is the complement of savings, we have:
[(Income of An - Savings of An)] / [(Income of B - Savings of B)] = 9/5
Substituting the previously derived expressions for income, we get:
[(5x + 2600 - 2600)] / [(3x + 1800 - 1800)] = 9/5
Simplifying the equation, we have:
5x / 3x = 9/5
Cross-multiplying, we get:
5 * 3x = 9 * 3x
15x = 27x
Subtracting 27x from both sides, we have:
0 = 12x
This implies that x = 0, which is not a valid solution. Therefore, there seems to be an error or inconsistency in the given information or equations. Please recheck the problem statement or provide additional information to help resolve the issue.
HELP ME PLSSSSSSSSSSSSSSSSSSSSSS;(
Answer:
a= 3/
Step-by-step explanation:
2/3a-1/6=1/3
2/3a=1/3+1/6
2/3a=1/2
a=1/2×3/
a=3/
What is the probability that a person who could give up her cell phone could also give up television
Answer: The probability that a person who could give up her cell phone could also give up television is 0.7 or 70%.
Probability is an essential branch of mathematics that helps individuals analyze the likelihood of events occurring. The probability of events is estimated using theoretical or experimental probability. The experimental probability of an event is based on actual outcomes or trials, while theoretical probability is based on a mathematical model. Additionally, a person is someone who is a biological entity capable of making decisions and responding to external stimuli. Hence, the probability that a person who could give up her cell phone could also give up television is estimated below.Suppose 70% of individuals who give up their cell phones can also give up their televisions. The probability that a person who could give up her cell phone could also give up television is estimated as follows:P(Give up television | Give up cell phone)
= P(Give up television and Give up cell phone) / P(Give up cell phone)
= 70% / 100%
= 0.7
The probability that a person who could give up her cell phone could also give up television is 0.7 or 70%. Thus, the chances of someone giving up their cell phone and television is 70%. Answer: The probability that a person who could give up her cell phone could also give up television is 0.7 or 70%.
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step 1. (x∈a v x∈b) ∧ (x∈a v x∈c) step 2. = (x∈a) v ((x∈b) ∧ (x∈c)) step 3. = (x∈a) v (b ∩ c) step 4. = ¬((x∉a) ∧ (b ∪ c)) what law or definition is used between steps 3 and 4?
The law or definition used between steps 3 and 4 is the De Morgan's Law.
De Morgan's Law states that the complement of the union of two sets is equal to the intersection of their complements, and the complement of the intersection of two sets is equal to the union of their complements. In this case, the complement of the intersection of sets b and c is equal to the union of their complements, which is represented by the expression (x∉a) ∧ (b ∪ c).
Therefore, the De Morgan's Law is used to transform the expression (x∈a) v (b ∩ c) into ¬((x∉a) ∧ (b ∪ c)) between steps 3 and 4.
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Determine GCF
30x²y^5 and 24 x^3 y^3
4y^4 and 18x^2 y^3
The GCF of 30x²y^5 and 24x^3y^4y^4 and 18x^2y^3 is 6xy^3.
How to find the GCF of 30x²y^5 and 24x^3y^4y^4 and 18x^2y^31) To determine the GCF of 30x²y^5 and 24x^3y^4, we need to factor each expression.
30x²y^5 = 2 × 3 × 5 × x² × y^5
24x^3y^4 = 2 × 2 × 2 × 3 × x^3 × y^4
The common factor is:
GCF = 2 × 3 × x² × y^4
2) To determine the GCF of 4y^4 and 18x^2y^3, we again factor each expression.
4y^4 = 2 × 2 × y^4
18x^2y^3 = 2 × 3 × 3 × x^2 × y^3
The common factors are 2 and y^3.
The GCF is 2y^3.
Therefore, the GCF of 30x²y^5 and 24x^3y^4y^4 and 18x^2y^3 is 6xy^3.
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help please and thank you
Answer:
12
Step-by-step explanation:
25.2 / 2.1
The divisor should be a whole number. Multiply the dividend and the divisor by 10.
= 252 / 21
= 12
 How long would it take an ostrich to run from Halifax to Vancouver it did not have to stop it run 80 km an hour
Help please!
Gianna draws a rectangle on a piece of grid paper. She wants to know the side length of each grid square. Which equation can Gianna use to find the side length, s , of one square.
Answer: the answer is 213.4
Stepby-step explanation:
First you multiply 10.8 and 19.8 then your done
Answer:
10.8 ÷ 6
1.8
Step-by-step explanation:
Can someone plz help me?
Answer:
c
Step-by-step explanation:
\( \frac{1}{6} mile = 1hour \\ \frac{1}{5} mile = xhour \\ \frac{1}{6} x = \frac{1}{5} \\ x = \frac{1}{6} \div \frac{1}{5} \\ \frac{1 }{6} \times \frac{5}{1} = \frac{6}{5} \)
pls mark brainliest
20 points! Thanks for the help :)
Answer:
Step-by-step explanation:
a) (-2x³ + x - 5)(x³ - 3x - 4)
= (-2x³) (x³ - 3x - 4) + x(x³ - 3x - 4) - 5(x³ - 3x - 4)
= -2x³*x³ - (-2x³)*3x - (-2x³)*4 + x*x³ - x*3x - x*4 + x³ * (-5) - 3x*(-5) -4*(-5)
= -2x⁶ + 6x⁴ + 8x³ + x⁴ - 3x² -4x - 5x³ + 15x + 20 {add like terms}
= -2x⁶ + 6x⁴ + x⁴ + 8x³ - 5x³ - 3x² - 4x + 15x + 20
= -2x⁶ + 7x⁴ + 3x³ - 3x² + 11x + 20
Hint: When multiplying two terms, multiply the coefficient, and add the powers of the variables {\(a^{m}*a^{n}=a^{m+n}\) }
-2x³*x³ = (-2*1) * \(x^{3+3}\) = -2x⁶
b) Yes , same because of commutative property of multiplication
Answer:
\(-2x^6+7x^4+3x^3-3x^2+11x+20\)
Step-by-step explanation:
a) We can expand \((-2x^3 + x - 5) (x^3 - 3x - 4)\), getting \(-2x^6+6x^4+8x^3+x^4-3x^2-4x-5x^3+15x+20\). We can then combine like terms, getting \(-2x^6+7x^4+3x^3-3x^2+11x+20\).
b) Yes it is the same, as it doesn't matter the order if you multiply two polynomials. It will always be the same.
si en panama habitan 105 mil de murcielagos del mundo, Por que cientos de las especies del mundo habitan en Panama
Many bat species can be found in Panama because they thrive in the tropical rain forests that cover much of Panama
How to illustrate the information?It should be noted that Panama is the only place in the world where one can see the sun rise on the Pacific and then set on the Atlantic. It is the country in the world where you can see the sun rise in in the Pacific Ocean from the top of the highest point in the country, whihc is the Volcan Baru.
Few animals inspire the fascination of vampire bats. They are divided than in Panama, which has about 120 bat species. It should be noted that bats are found everywhere in the world except the Antarctica.
In this case, they thrive in the tropical rain forests which cover much of Panama because of a plenitude of animal and plant foods, and a lack of seasons to inhibit regeneration.
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be sure to answer all parts.a small hole in the wing of a space shuttle requires a 24.7 cm2 patch.(a) what is the patch's area in square kilometers (km2)? enter your answer in scientific notation.× 10km2(b) if the patching material costs nasa $3.82/in2, what is the cost of the patch to the nearest cent?$
The patch's area is 2.47 × 10^(-6) km².
The cost of the patch is $14.61.
(a) The area of the patch in square kilometers (km²) can be found by converting the given area in square centimeters (cm²) to square kilometers.
1. Convert cm² to m²: Divide the given area by 10,000 since 1 m² is equal to 10,000 cm².
24.7 cm² ÷ 10,000 = 0.00247 m²
2. Convert m² to km²: Divide the area in m² by 1,000,000 since 1 km² is equal to 1,000,000 m².
0.00247 m² ÷ 1,000,000 = 2.47 × 10^(-6) km² (scientific notation)
The patch's area is 2.47 × 10^(-6) km².
(b) To find the cost of the patch, we need to multiply the area of the patch by the cost of the patching material.
1. Convert the cost of the patching material to cost per cm²: Divide the given cost by 1 square inch since 1 square inch is approximately equal to 6.4516 cm².
$3.82/in² ÷ 6.4516 cm²/in² = $0.592/cm² (rounded to the nearest cent)
2. Multiply the cost per cm² by the area of the patch in cm² to find the total cost of the patch.
$0.592/cm² × 24.7 cm² = $14.61 (rounded to the nearest cent)
The cost of the patch is $14.61.
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Which phrase matches the algebraic expression below?
2(x - 7) + 10
A) two times the sum of x and see plus ten
B) two times the difference of x end seven-plus ten
C) two times x minus seven plus 10
D) two times x minus the sum of seven and ten
(9th-grade Algebra 1)
Answer:
i think it is c
Step-by-step explanation:
the virus that causes bird flu is being spreading through your community quickly. you and your roommate received a flu shot over two months ago. your roommate gets sick and then the doctor confirms it is the bird flu. explain if you have a high, average or low probability of getting the bird flu and why you selected your answer. the virus that causes bird flu is being spreading through your community quickly. you and your roommate received a flu shot over two months ago. your roommate gets sick and then the doctor confirms it is the bird flu. explain if you have a high, average orlow probability of getting the bird flu and why you selected your answer.
It is possible for humans to contract bird flu viruses. There have been outbreaks of two strains, H5N1 and H7N9, that have affected some populations in Asia, Africa, the Pacific, the Middle East, and portions of Europe. Other unusual forms of avian flu that have affected humans in the US have also been reported. The majority of humans who contract bird flu have had direct contact with diseased birds or surfaces that have been contaminated by the saliva, mucus, or droppings of infected birds.
By what means is the avian flu spread?Through their saliva, mucus, and excrement, infected birds spread the bird flu virus. Inhaling the virus or getting it in one's eyes, nose, or mouth can result in human infection with bird flu viruses.
How might we stop the spread of the avian flu?After contacting birds or surfaces that could be contaminated with their saliva, mucus, or feces, whether they are wild or domesticated, avoid touching your mouth, nose, or eyes.
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8.4n p when n= 2 and p = 4