Based on the trigonometry ratios and the Pythagorean theorem both of them were incorrect.
Cos A = 4/5; Sin A = 3/5
What is the Trigonometry Ratios?The Trigonometry ratios relates the length of the sides of a right triangles. They are given as:
Sine ratio, sin ∅ = opp/hypCosine ratio, cos ∅ = adj/hypTangent ratio, tan ∅ = opp/adj.What is the Pythagroean Theorem?If two sides of a right triangle are known the third side can be determined using the Pythagorean theorem, which is given as, c² = a² + b², where and b are legs, and c is the hypotenuse of the right triangle.
1. Given that tan A = 3/4, it is not necessarily true that BC MUST have a length of 3 units, and AC MUST have a length of 4 units, because:
If BC = 9 units and AC = 12 units, the it will give us the same tangent ratio as:
tan A = 9/12 = 3/4.
Therefore, Angelica's mistake is stating that BC MUST be 3 units, and AC MUST be 4 units.
2. Knowing two length of the sides of a right triangle is enough information needed to find the length of the third side using the Pythagorean theorem, so Graceilla is incorrect.
3. Find AC using the Pythagorean theorem:
AB = √(3² + 4²)
AB = 5 units.
Cos A = adj/hyp = AC/AB
Cos A = 4/5
Sin A = opp/hyp = BC/AB
Sin A = 3/5
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If a and b are positive integers the system consists of which inequalities?
Answer:
D) y > -ax + b
E) y < ax - b
Step-by-step explanation:
The line with the negative slope (blue on attached diagram):
negative slope → -axshading above y → y >positive y-intercept → +bTherefore: y > -ax + b
The line with the positive slope (red on attached diagram):
positive slope → axshading under y → y <negative y-intercept → -bTherefore: y < ax - b
select the correct number from each list to complete the equation.
8
-)+?
8
2
2.
-2
-2
Mit
to it
-4
3
-3
4
lto complete the equation.
8
-)+?
8
2
2.
-2
-2
Mit
to it
-4
3
-3
4
6
write in logarithmic form 4^-3 = 1/64
Answer:
-3=log base 4 1/64
Step-by-step explanation:
This was hard to write because you cant do base on keyboard.
simplify 3(6a+3b)+5(2a-b).
Answer:
28a+4b
Step-by-step explanation:
Square PQRS is drawn inside rectangle ABCD such that side PQ is on side AB and side SR is on side DC, as shown below. Line segment PB is 17 inches long and line segment DR is 15 inches long. What is the perimeter of rectangle ABCD?
The perimeter of the rectangle ABCD is the sum of its side lengths, and the perimeter is 70 inches
How to determine the perimeter of ABCD?The question is incomplete, as the figure of the square and the rectangle are not given; so I will give a general explanation
The perimeter (P) of the rectangle ABCD is calculated using:
P = AB + BC + CD + DA
Since the opposite sides are equal, the formula becomes
P = 2 * (AB + BC)
Assume that the values of AB and BC are 20 and 15, respectively;
The equation becomes
P = 2 * (20 + 15)
Evaluate the product
P = 70
Hence, the perimeter of the rectangle ABCD is 70 inches (using the assumed values)
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Which expression is equivalent to 16^3? 2^7 2^11 2^12 2^64
2^12
Step-by-step explanation:
16^3 = 4096
2^7 =128
2^11 = 2048
2^12 = 4096
2^64 = really big (1.8x10^19 to 2 s.f)
Hope this helps!
can u guys please help me
Answer:
60.69cm^2
Step-by-step explanation:
5.1^2 = 26.01
5.1/2 = 2.55
2.55 × 5.95 = 15.1725
15.1725×4 = 60.69
60.69 + 26.01 = 60.69cm^2 nice
Determine the midpoint of each line segment with the given endpoints.
1. (-2,5) and (0,2)
2. (0,3) and (0,-3)
3. (-2,0) and (-4,0)
4. (9,0) and (0,-7)
Answer:
(-1, 3.5)(0, 0)(-3, 0)(4.5, -3.5)Step-by-step explanation:
Midpoint Formula
M = (x₁ + x₂ / 2, y₁ + y₂ / 2)#1 : (-2,5) and (0. 2)
M = (-2 + 0 / 2, 5 + 2 / 2)M = (-2/2, 7/2)M = (-1, 7/2)M = (-1, 3.5)#2 : (0, 3) and (0, -3)
M = (0 + 0 / 2, 3 - 3 / 2)M = (0, 0)#3 : (-2, 0) and (-4, 0)
M = (-2 - 4 / 2, 0 + 0 / 2)M = (-6/2, 0)M = (-3, 0)#4 : (9, 0) and (0, -7)
M = (9 + 0 / 2, 0 - 7 / 2)M = (9/2, -7/2)M = (4.5, -3.5)find the area of the shape below giving your answer to the 1 decimal place. 10cm, 15 cm
Answer:
The area is : 189.27
Step-by-step explanation:
Rectangle: 10 x 15
Semicircle or half circle: A=πr2=π·52≈ 78.53982 = 78.54/2 = 39.27
Add Reactangle: 150 + 39.27
CAN SOMEONE PLEASE HELP ME WITH THIS.
Answer:
see below
Step-by-step explanation:
7a is a term
3 is a constant
8b and 5b are 'like' terms
If you need $25,000 eight years from now, what is the minimum amount of money you need to deposit
into a bank account that pays an annual percentage rate (APR) of 5% that is compounded-
a. once a year?
Please Help me on this ! ( don’t send links)
What is the length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees? (give the answer in decimal form rounded to the nearest tenth.)
The length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees is 9.42.
What is the length of the arc?The arc length is defined as the interspace between the two points along a section of a curve.
An arc of a circle is any part of the circumference.
The length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees is given by;
[tex]\rm ARC =2\pi r \times \dfrac{\theta}{360}\\\\ARC =2\pi \times 12 \times \dfrac{45}{360}\\\\ ARC =3\times 3.14\\\\ARC =9.42[/tex]
Hence, the length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees is 9.42.
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When multiplying 286 x 23 what is the first step?
Answer: the answer to your question is 6,578
Step-by-step explanation:
Answer:
first step multiple 286×23=578
Help please with this
Answer:
85 and 91
Step-by-step explanation:
In a round of mini-golf, Clare records the number of strokes it takes to hit the ball into the hole of each green.
2 3 1 4 5 2 3 4 3
She said that, if she redistributed the strokes on different greens, she could tell that her average number of strokes per hole is 3. Explain how Clare is correct.
Answer:
She is correct because 3 appears the most amount of times.
At a fudge shop, they cut a sheet of fudge into one-ounce pieces.
What would happen if they cut the sheet of fudge into one-pound pieces?
A.There would be more pieces.
B. There would be fewer pieces.
C. There would be no pieces.
D. There would be the same number of pieces.
Answer:
a
Step-by-step explanation:
Dan read 126 pages of his book. He has 68% of his book left to read. How many pages are
in his bool
Enter the number in the box.
Answer:
394
Step-by-step explanation:
If he has 68% left to read, then he read 100% - 68% = 32%.
32% of the number of pages, n, equals 126 pages.
0.32n = 126
n = 126/0.32
n = 393.75
Answer: 394
Number two and three please asap
Answer: h and d
Step-by-step explanation:
the answer is correct because it shows it please give this a like
Pythagorean Theorem
solve for the missing side round to the nearest 10th I will mark you BRAINLIEST IF ANSWEREE CORRECTLY NO LINKS IF YOU DO NOT KNOW THE ANSWER DONT COMMENT ON THIS THREAD
Answer 10
Step-by-step explanation:
its 8 when you round it to the nearest 10 its will give you 10
10.0% complete
Question
You are writing a book about a 3,030-mile bike race across the United States. You wonder about a title, and how many pedal strokes it takes to finish the race. Assuming a pedal stroke is about 16 feet on average, which of the following would be the best book title?
Answer:
Step-by-step explanation:
"One Billion Pedals to Finish " seems like a good title to me, but, if you want a math correct title, then,
3,030mi* 5280 ft. per mile = 15,998,400 ft.
now divide pedals into ft.
15,998,400 / 16 =999,990 :D do you think they did that on purpose? made the answer 99999 :D I think so, soooo name the title "One million pedals to finish" or to be math accuate, but less "pop" , then "999,990 petals to finish"
I like "One million pedals" which do you like? :/ The very first answer? but totally wrong? :D, yeah, go with the " One Billion Pedals" sure, it's inaccuarate :DDD but very amazing :P
A function with an input of 1 has an output of 3. Which of the following could not be the function equation?
y = 3 x
y = - x + 4
y = x - 2
y = 2 x + 1
Answer:
y = x - 2
Step-by-step explanation:
The easiet method is to plug in both the x and y value. If the statement is true, that means that answer choice is wrong. Doing this, you find that answer Choice 3 is not correct. That is your answer.
Write the number in expanded NOTATION 14.95
he price of a laptop was marked 80 percent off because it had a cracked screen.
If this resulted in a savings of $600, what is the value of x in the table above?
Answer:
Total Price = $750
Price Payed = $150
Step-by-step explanation:
Let me know if you need an explanation
Hey whats 56x78 then divide it by 5.
Answer:
873.6
Step-by-step explanation:
Answer:
873.6
Step-by-step explanation:
56 x 78 is 4368
4268 / 5 is 873.6
Find a single expression that represents the area of the outer ring of the circle if the area of the whole circle is represented by the expression "25x2 − 12x − 9."
A) 18x2 − 12x − 6
B) 18x2 − 12x − 12
C) 32x2 − 12x − 6
D) 32x2 − 12x − 12
Answer:
18x2-12x-6
Step-by-step explanation:
I got it wrong and this was the answer. Take it or leave it
2. Choose the correct measurement of the paper clip to the nearest 1/8 inch.
Answer: 1 3/8 inches.
Answer: 1 3/8
The paper clip is 1.375 inches.
13. Miguel has two different cylindrical containers. The capacities of the two containers are
shown below.
30 pinto
4 gallons
Container X
Containery
not to soolo
Which statement correctly compares the capacities of the two containers?
A. Container X is 1 quart greater than Container Y.
B. Container X is 1 quart less than Container Y.
C. Container X is 26 quarts greater than Container Y.
D. Container X is 26 quarts less than Container Y.
M
The statement that correctly compares the capacities of the two containers is container X is 1 quart greater than Container Y.
How do we determine the correct statement?In order to correctly compare the capacities of the two containers, the capacities have to be converted to quarts.
1 pint = 0.5 quart
Capacity of container Y = 30 / 0.5 = 15 quarts
1 gallon = 4 quarts
Capacity of container X =4 x 4 = 16 quarts
Difference in capacity = 16 - 15 = 1
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What financial risk does training employees on a computerized accounting system represent?
Without suitable security access protocols in place, well-trained employees could figure out ways to use the accounting system to _________
from the company
Reset
Next
Without security access protocols in place, well-trained employees could find ways to use the accounting system to divert or steal companies funds (money).
What are security access protocols?A security protocol is known to be a kind of communication protocol that is said to be a well planned sequence of actions to be done by two or more firms so as to achieve their desired goal.
Conclusively, Note that when there is no good or suitable security access protocols that has been put in place by an organization or firm, well-trained employees could figure out ways to use the accounting system to divert or steal companies funds (money) from the company to their own personal account.
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Please help me solve this
Answer:
[tex]x - 6 > - 2 \\ x > - 2 + 6 \\ x > 4[/tex]
Step-by-step explanation:
So, the answer is the first one
Answer:
{x | x ∈ R, x > 4}
Step-by-step explanation:
Given:
x - 6 > -2
Add 6 to both sides:
⇒ x - 6 + 6 > -2 + 6
⇒ x > 4
Therefore, the solution set is:
{x | x ∈ R, x > 4}
Roderick works as an architectural draftsman for an engineering firm. His monthly salary is $3,204.17. After taxes and other deductions, he takes home $2,317.56. His wife works as an electronics technician and earns $25.07 per hour. She works 37.5 hours each week and is paid every other week.
Based on this information, what is their gross income for six months?
Taxes are not deducted for gross income.
Roderick's gross income for 6 months = $3,204.17 × 6 = $19,225.02
Wife's gross income for 6 months = $25.07 × 37.5 × 26 = $25,057.5
Total gross income = $44,282.52