Answer: b
Step-by-step explanation:
By the alternate interior angles theorem, the angle of elevation and the angle of depression have the same measure.
The measure of angle A is 32 degrees or the measure of the angle of elevation is 32 degrees option (b) 32 degrees is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
It is given that:
The right-angle triangle is shown in the picture.
The right-angle triangle is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
As the two lines are parallel to each other and a transversal is intersect the parallel lines so the angle would be same as 32 degrees
The angle A = 32 degrees
Thus, the measure of the angle A is 32 degrees or the measure of the angle of elevation is 32 degrees option (b) 32 degrees is correct.
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Test test 123 123 12345678
Answer:
test test 9101112131415
Answer:
Answer answer 233 234 23456789
Step-by-step explanation:
is that right.......:)
Evaluate x1 - x1 + x0 for x = 2.
0
1/2
1 1/2
2 1/2
Answer:
the answer is 0
Step-by-step explanation:
hoped I helped:)
Answer: 2 1/2
Step-by-step explanation:
10. Andy is flying an airplane at an altitude of 12,000 feet over the ocean heading towards and island. His instruments show that the airplane will be directly over the island after flying horizontally 30,000 feet. To land the plane safely, Andy needs to calculate the angle of depression.
Answer:
I think is D
Step-by-step explanation: I don’t know :/
Help please if you know the answer
Answer:
180-140=a
180-90=b
180-a-b= your ans
What is the answer to 1/4y=7
Answer:
y = 28
Step-by-step explanation:
1/4y=7 | Given
y = 28 | Multiplicative property of equality (multiply 7 by the denominator of 1/4y)
Question 1 of 10
Which of the following is most likely the next step in the series?
Answer:
The second one.
Step-by-step explanation:
The pattern is red with 0 arrows, blue with 1 arrow, red with 2 arrows, so it would be blue with 3 arrows.
which inequality has the same solution set as 3(q + 6) > 11?
3q + 18 < 11
3q + 6 > 11
q + 18 > 11
q + 18 > 11
Given:
The inequality is
[tex]3(q+6)>11[/tex]
To find:
The inequality that has the same solution set as the given inequality.
Solution:
We have,
[tex]3(q+6)>11[/tex]
Using distributive property, we get
[tex]3(q)+3(6)>11[/tex]
[tex]3q+18>11[/tex]
Since the given inequality can be rewritten as [tex]3q+18>11[/tex], therefore the inequality [tex]3q+18>11[/tex] has the same solution set as [tex]3(q+6)>11[/tex].
Hence, all options are incorrect. The required inequality is [tex]3q+18>11[/tex].
Answer:
3q+18 > 11
Step-by-step explanation:
Landen has his daily video gaming time each day for 7 days. But one day he plays and extra 50 minutes. His total video playing time for the week was 540 minutes. How long is his daily video playing time? Choose the equation that describes this word problem.
Answer:
im thinking 25 or 24
Step-by-step explanation:
sorry if i made you get it wrong
Market researchers selected a random sample of people from region A and a random sample of people from region B. The researchers asked the people in the samples whether they had tried a new product. The difference between the sample proportions (B minus A) of people in the regions who indicated they had tried the new product was 0.15. Under the assumption that all conditions for inference were met, a hypothesis test was conducted with the alternative hypothesis being that the population proportion of B is greater than that of A. The p-value of the test was 0.34.Which of the following is the correct interpretation of the pp-value?If the difference in proportions of people who have tried the new product between the two populations is actually 0.15, the probability of observing that difference is 0.34.A. If the difference in proportions of people who have tried the new product between the two populations is actually 0.34, the probability of observing that difference is 0.15.B. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.C. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at most 0.15 is 0.34.D. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference equal to 0.15 is 0.34.
Answer:
B. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.
Step-by-step explanation:
Null hypothesis:
H0: The population proportion B = population proportion A
Alternative hypothesis:
H1: The population proportion of B > population proportion A
The P value, also called calculated probability, is that of getting test results which are at least as extreme as the results which were observed in a Statistical test. We assume the null hypothesis to be true.
Therefore if the population proportion of B = A (H0 is true), then we conclude that the probability of observing a difference of at least 0.15 is = 0.34.
A car depreciates at a rate of 15% of its value annually. Carl purchased a new car for $25,000 and wants to know how many years it
will take until the car is worth a specific amount.
a) Formulate a logarithmic function that would find the number of years t it will take for the car to be worth x dollars.
Then
b) How many years will Carl have until he new car is worth about $5000?
Answer:
(a) (log X - log 25000)/log 0.85 = t
(b) about 9.9 years
Step-by-step explanation:
(a) Let X = value and t = elapsed years since purchase; X in dollars
X = 25000 x 0.85 x 0.85 x 0.85 ... with a factor of 0.85 for every year
(If you lose 15% of value, you have 85% left, right?)
So if you do it for t years, you have t as the exponent on the 0.85 factor.
[tex]X = 25000(0.85)^t[/tex] is a good equation, but not logarithmic like they ask.
[tex]log X = log 25000 + log [(0.85)^t][/tex] because the log of a product is the sum of the logs of the factors
log X = log 25000 + t*log 0.85 because the log of a power is power times log
log X - log 25000 = t* log 0.85 just algebra, subtracting from both sides
(log X - log 25000)/log 0.85 = t just algebra, dividing both sides
(b) If we let X = $5000
t = (log 5000 - log 25000)/log 0.85
= (3.69897 - 4.39794)/-0.07058
= 9.90
So t = 9.9 years is a good estimate
Carl will have approximately 5.06 years until his new car is worth about $5000.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let V(t) be the value of the car t years after it was purchased.
We know that the car depreciates at a rate of 15% annually, so the value of the car after t years can be expressed as:
[tex]V(t) = 25000 \times (1 - 0.15)^t[/tex]
Simplifying this equation, we get:
[tex]V(t) = 25000 \times 0.85^t[/tex]
Now suppose Carl wants to know how many years it will take for the car to be worth x dollars.
We can set V(t) equal to x and solve for t:
[tex]25000 \times 0.85^t = x[/tex]
log0.85(25000) +[tex]log0.85(0.85^t)[/tex] = log0.85(x)
Since log0.85(25000) is a constant, we can subtract it from both sides of the equation:
[tex]log0.85(0.85^t)[/tex]= log0.85(x) - log0.85(25000)
Divide both sides of the equation by log0.85(0.85) = 1:
t = [log0.85(x) - log0.85(25000)] / log0.85(0.85)
Therefore, the logarithmic function that would find the number of years t it will take for the car to be worth x dollars is:
t = [log0.85(x) - log0.85(25000)] / log0.85(0.85)
b) We want to find the number of years it will take for the car to be worth $5000.
Substituting x = 5000 into the formula derived in part (a), we get:
t = [log0.85(5000) - log0.85(25000)] / log0.85(0.85)
t = 5.06
Therefore, Carl will have approximately 5.06 years until his new car is worth about $5000.
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I need help, Please help me.
Answer:
Yes, SSS
Step-by-step explanation:
Well they are congruent since well the triangles are from a square which means that the sides will all be equal so therefore it is the SSS rule which stands for "side, side, side" meaning all of the sides are equal.
Find the Unit Rate
Amy can read 88 pages in 4 hours. What is the
unit rate? (How many pages can she read per
hour?)
Help plzzzz
Answer:
22
Step-by-step explanation:
give them brain, they're correct.
The Unit Rate for Amy will be 22 pages per hour.
What is Unit Rate?The Unit Rate is defined as means a rate for one of something.
We have,
Amy can read 88 pages in 4 hours.
So,
Now,
Number of pages Amy can read in 1 hour [tex]=\frac{88}{4}[/tex]
So,
Number of pages Amy can read in 1 hour = 22,
That means,
The Unit Rate for Amy is 22 pages per hour.
Hence, we can say that the Unit Rate for Amy will be 22 pages per hour.
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help me on my geometry homework? :/
Answer:
You could use a graphing calculator I just used Desmos. Origin is (0, 0). Rotate 90 degrees about the origin.
I used triangles
The rotated point would be at (1, 2)
ANSWER: the question mark = 1
Apply the distributive property to create an equivalent expression.
1/5 (15+10k) =
Answer:
1/5(15+10k)
=1/5.15+1/5.10k
=3+2k
Answer:
3+2k
Step-by-step explanation:
khan said so
What is the area of one trapezoidal face of the figure
write f(x)=(x-2)(x+2)(x+1)^2 as a polynomial function
Answer:
Step-by-step explanation:
[tex](x-2)(x+2)((x+1)^2\\ \\ (x^2-4)(x+1)^2\\ \\ (x^2-4)(x^2+2x+1)\\ \\ x^4+2x^3+x^2-4x^2-8x-4\\ \\ x^4+2x^3-3x^2-8x-4[/tex]
Stephanie had 0.75 to buy a treat at the store. She used 3 dimes to buy a popsicle. What fraction of her money
did Stephanie spend on the popsicle?
Answer:
30/75
Step-by-step explanation:
3 times 10 is 30. so 30 out of 75
Jeremy bought 3 pairs of pants for $68.25. Each pair of pants cost the same amount. How much will he pay for 5 pairs of pants at the same price per pair?
$170.63
$341.25
$113.75
$22.75
Answer:
113.75
Step-by-step explanation:
including zero) depending on your answer
The taco truck sells tacos for $3 and burritos for $4. The number of items sold on a Tuesday is 125 with a total income of $430. How
many tacos were sold?
The solution is
Answer: here b
Step-by-step explanation:
http://bigtrucktacos.com/menu/
Answer:
2
Step-by-step explanation:
A bowling alley has a one-time charge of $2.50 to rent a pair of shoes and a charge of $2.00 for each game bowled. The function f (x)
represents the total cost to bowl x games.
Which equation represents f (x)?
O A f(x) = 2.5x + 2
O B. f (x) = 2x + 2.5
O c f(x) = (2.5 + 2)x
OD. f (x) = (2.5 - 2)x
Answer:
B. f (x) = 2x + 2.5
Step-by-step explanation:
Linear function:
A linear function has the following format:
[tex]y = mx + b[/tex]
In which m is the value that y changes by when x increases by 1, and b is the flat fee.
A bowling alley has a one-time charge of $2.50 to rent a pair of shoes and a charge of $2.00 for each game bowled.
This means that [tex]m = 2, b = 2.50[/tex]
So
[tex]f(x) = 2x + 2.5[/tex]
And the correct answer is given by option b;
Given that 5x - 8y = 33 find x when y = 1
Answer:
x = ⁴¹⁄₅ or 8.2Explanation:
5x - 8y = 33
y = 1
Insert 1 for 'y' in the equation
5x - 8(1) = 33
Remove parenthesis: (a) = a
5x - 8 · 1 = 33
Multiply 8 · 1: 8
5x - 8 = 33
Add 8 to both sides
5x - 8 + 8 = 33 + 8
Simplify
5x = 41
Divide both sides by 5
5x / 5 = 41 / 5
x = ⁴¹⁄₅
Turn the fraction into a decimal
x = 8.2
Please help me, willing to pay! Drop gcash no.
Answer:
1. a+b
2. x+7
3. r^2
4. (a-12)
5. z-14
Is 16 a multiple of 8?
Answer:
have a good day!
Yes it is.
3x-2y=10. 4x-y=6. solve each of the pair of simultaneous linear equation by substitution method
Answer:
x = 2/5, y= -22/5
Step-by-step explanation:
4x−y=6;3x−2y=10
Step: Solve4x−y=6for y:
4x−y+−4x=6+−4x(Add -4x to both sides)
−y=−4x+6
-y/-1 = -4x +6 over -1 (Divide both sides by -1)
y=4x−6
Step: Substitute4x−6for y in 3x−2y=10:
3x−2y=10
3x−2(4x−6)=10
−5x+12=10(Simplify both sides of the equation)
−5x+12+−12=10+−12(Add -12 to both sides)
−5x=−2
-5x/-5 = -2/5 (Divide both sides by -5)
x= 2 /5
Step: Substitute 2/ 5 for x in y=4x−6:
y=4x−6
y=4 ( 2/ 5 ) −6
y= −22 /5
(Simplify both sides of the equation)
x = 2/5, y= -22/5
What is the value of 9.6 x 12.643?
Answer:
121.3728
Step-by-step explanation:
calcluated with calculater
What property is used to show that 3(4 – 6) = 12 – 18?
Distributive Property
Associative Property
Commutative Property
Subtraction Property
Answer:
Distributive Property
Step-by-step explanation:
Answer:
Distributive property
Step-by-step explanation:
a(b-c)= (a×b) - (a×c)
3(4-6)=(3×4) - (3×6)
= 12 - 18
How to figure out diameter
Answer:
If you are given the area of a circle, the diameter is equal to the square root of four times the area divided by pi (diameter = √ (4 x area) / pi).
Answer:
A diameter of a circle is twice its radius!
Hope that helps!
Step-by-step explanation:
Solve the equation by balancing 3n+2=17
Answer:
3n=17-2
3n=15
n=15/3
n=5
Step-by-step explanation:
therefore putting the value of n=5 the equation can be balance
[tex]\frac{28}{54} = \frac{2x+8}{5x-4}[/tex]
Step-by-step explanation:
step 1. what is the question? solve for x? okay.
step 2. 28/54 = (2x+ 8)/(5x - 4)
step 3. 28(5x - 4) = 54(2x + 8) (cross multiplication)
step 4. 14(5x - 4) = 27(2x + 8) (divide both sides by 2)
step 5. 70x - 56 = 54x + 216 (distributive property)
step 6. 16x = 272 (group x's and add 56 to both sides)
step 7. x = 17 (divide both sides by 16).
cause yo hair nappy........
Answer:
what do you mean?
Step-by-step explanation: