Which equation can be used to solve for the measure of angle ABC? tan(x) = tan(x) = sin(x) = sin(x) =
Answers
Answer:
A. tan(x) = 2.4/10
Step-by-step explanation:
The question is incomplete and lacks the required diagram. Find the question and diagram attached below.
Which equation can be used to solve for the measure of angle ABC? tan(x) = 2.4/10 tan(x) =10/2.4 sin(x) =10/10.3 sin(x) =10.3/10
We will use the SOH CAH TOA identity to calculate the equation needed to solve for angle ABC.
In a right angled triangle, the side facing the acute angle ABC is the opposite, the longest side is the hypotenuse and the third side (base) is the adjacent.
From the diagram shown;
AB = hypotenuse = 10.3cm
AC = opposite = 2.4cm
BC = adjacent = 10cm
To get the angle x, we can use the SOH and TOA identity.
SOH means sin<ABC = opp/hyp
Sin(x) = AC/AB = 2.4/10.3
TOA ≈ Tan(x) = opp/adj
Tan(x) = 2.4/10
The equation that can be used to solve for the measure of angle ABC are therefore sin(x) = 2.4/10.3 OR tan(x) = 2.4/10
Based on the given option,
tan(x) = 2.4/10 is the only correct answer.
Answer:
in short its A.
Step-by-step explanation:
EDGE 2021
Related Questions
A
B
a
If c = 16 and B = 67, find a.
a. 4.5
b. 5.6
C. 6.3
d. 7.4
Please select the best answer from the choices provided
СА
ОВ
Answers
Answer:
a
Step-by-step explanation:
The measure of side a is 6.3 unit.
What is Sine law?The ratios of the length of a side to the sine of the angle opposite the side must all be the same if A, B, and C are the measurements of the angles of an oblique triangle and a, b, and c are the lengths of the corresponding sides.
Given:
c= 16 and B= 67 degree
<C= 90 degree
Using sine law
b / sin B = c / sin C
b / sin 67 = 16 / sin 90
b/ sin 67 = 16 / 1
b = 16 sin 67
b = 16 x 0.9205
b = 14. 728
Using sine law
c / sin C = a / sin A
16 / sin 90 = a / sin 23
16 = a / sin 23
a = 6.25
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14. An animal shelter has a ratio of dogs to cats that's 3:2. If there are 30 cats at the shelter, how many dogs are there?
A. 45
B. 90
C. 15
D. 20
Answers
Answer:
your answer would be 45 I hope this was helpful
Step-by-step explanation:
Answer:
The answer is A, 45.
Step-by-step explanation:
What is the new cost if a $2.75 toy is marked up by 29%?
Answers
Answer:
$3.55
Step-by-step explanation:
You need to add 29% of $2.75 to $2.75.
That means the price will be 129% of $2.75.
129% of $2.75 =
= 1.29 * $2.75
= $3.55
2.75 x .29 = 0.7975
2.75 + 0.7975 = 3.54
If abc=dec b=2x+31 and e=7x-24 x=?
Answers
Answer:
x = 11
Step-by-step explanation:
As it is stated the the both the triangle ABC and DEC are congruent, it means that all the angles forms in these triangles are also congruent. We can states that
<A = <D
<C = <C
<B = <E
As both angles B and E are equal to each other, we can equate them
<B = <E
Where <B = 2x+31 and <E= 7x-24, substitute both values in above expression:
2x + 31 = 7x - 24
Solve for x:
7x - 2x = 31 +24
5x = 55
x = 11
Answer:
11
Step-by-step explanation:
Here is a circle touching a square.
The area of the square is 36 cm2
Work out the area of the circle.
Give your answer in terms of pie .
Answers
Answer: 9πcm²
Step-by-step explanation: area of the square= 36cm²
Therefore, the area of one side= √area = √36 = 6cms
Since the circle is touching the sides of the square, the side of the square = the diameter of the circle
Therefore the radius of the circle= side/2 = 3cm
The formula for the ares of the circle is πr²
π*3*3 = 9πcm²
Hamish and hairy work as plumbers. Harry earns a dollar more than 5/4 The amount Hamish orange per hour. The amount Harry earns per hour is two dollars less than 7/5the amount Hamish and per hour. How much does each of them earn per hour?
Answers
Answer:
Harry earns 26 and Hamish earns 20
Step-by-step explanation:
The computation of the amount earned by each one of them is shown below:
Let us assume the hairy be Y
And, the Hamish be M
It is given that Harry earns a dollar i.e more than 5/4
And, it is $2 less than 7/5
So, the equation would be
y = 1.25m + 1 ...........................(i)
And,
y= 1.4m -2 .............................(ii)
Now equal both the equations
1.25m + 1 = 1.4m - 2
3 = 0.15m
So, m = 20
Now put the values of m in any of the above equation to find out the value of Y
Y = 1.25m + 1
= 1.25 (20) + 1
= 26
WILL GIVE BRAINIEST TO THE FIRST ANSWER
Answers
Answer:x − 3 y = − 36
Step-by-step explanation:
Answer: The initial form is called slope intercept form// and the equation in standard form is 3y=37
Step-by-step explanation:
standard form = ax+by=c so you basically just have to take that and put it into the formula
Hope this helps
A car begins to depreciate at a rate of 24.9% annually as soon as it is driven off the lot. If a car was purchased for 26,500; how much is it worth after the second year? The equation you used is? What is the value of the car after two years?
Answers
Answer:
13197
Step-by-step explanation:
You have to do 24.9*2 and then find that percent of 26500
A geometric sequence of positive integers is formed for which the first term is 2 and the fifth term is 162. What is the sixth term of the sequence?
Answers
Answer:486
Step-by-step explanation:
(Multiply by 3 each time ;))
Hope this helped!
<!> Brainliest is appreciated! <!>
Answer:
multipl each 3 times
Step-by-step explanation:
Trying to find the missing segment to the triangle in the attached image. Any help would be appreciated. Thanks.
Answers
Answer:
24 unit
Step-by-step explanation:
This question can be solved using concept of basic proportionality theorem,
according to this theorem, if a line is drawn parallel to one side of the triangle and intersect the other two sides then the two sides are divided in the same ratio.
Example:
let there be a triangle ABC
if DE is drawn parallel to BC such that D is a point on line AB and E is other point on AC, then
AD/DB = AE/EC (basic proportionality theorem)
_____________________________________
Similarly in this problem
15/5 = ?/8
3= ?/8
? = 8*3 = 24
Thus. missing segment value is 24 unit.
pls help i give brainliest
Answers
Answer: B no
Step-by-step explanation:
Plot in the x and y coordinates into the equation to solve it.
The x coordinate is 4 and the y coordinate is 1
-4(4) +3(1)= 2
-16 + 3 = 2
-13 ≠2
-13 does not equal 2 so (4,1) is not a solution.
Answer: NO
Step-by-step explanation:
[tex]Substitute \\\\-4(4)+3(1)=2\\\\Multiply\\\\-16+3=2\\\\Combine \\like \\terms\\-13=2[/tex]
-13 does NOT equal 2, so it is not a solution
Hope it helps <3
Find the area of ΔDEF to the nearest tenth. ANSWERS: A) 127.8 square units B) 46.5 square units C) 63.9 square units D) 23.3 square units
Answers
Answer:
C) 63.9 square units
Step-by-step explanation:
From the above diagram, we can see that the triangle has 2 sides and and angle
The formula for the area of a triangle that has 2 sides and an angle = 1/2absinθ
θ = 70°
a = DE = 8 units
b = EF = 17 units
Area of ΔDEF = 1/2 × 8 × 17 × sin 70°
Area of ΔDEF = 63.9 square units.
Answer:
63.9 square units
Step-by-step explanation:I took the test
Which of the following is equivalent to: -5 - 4?*
Answers
Answer:
-9
Step-by-step explanation:
-5 - 4 = -5 + (4)
You are adding two negative numbers, so add the absolute values of the numbers, and the sign of the answer is negative.
-5 - 4 = -(|-5| + |4|) = -(5 + 4) = -9
pllllllllzzzzzzz answer this!!!♥️♥️
Answers
9514 1404 393
Answer:
a) 7:24 pm
b) later than 7:24 pm
Step-by-step explanation:
The relationship between time, speed, and distance can be written as ...
time = distance/speed
So, Faris's travel time to London is predicted to be ...
time = (195 mi)/(50 mi/h) = 3.9 h = 3:54 hours
__
a) Faris's expected arrival time at a speed of 50 mph is ...
3:30 pm +3:54 = 6:84 pm = 7:24 pm
__
b) Time is inversely proportional to speed, so a lower speed will result in a longer time.
Faris's arrival time will be later than 7:24 pm.
PLLLLLLLLLLZZZZZZZZZ
Answers
Answer: 4m + 3
Step-by-step explanation:
4m references the 4 bags of marbles and the m marbles in each bag. + 3 references the extra 3 marbles.
I NEED HELP CAN SOMEONE PLEASE ANSWER THIS ASAP PLEASE!!!
Answers
Answer:
y = 5x - 3
Step-by-step explanation:
ok so perpendicular just means the opposite reciprocal of the slope of the normal equation. It just means that they form a 90 degree angel when they intersect.
Suppose a cube is given. How many different triangles can be formed by connecting 3 of the vertices of the cube?
Answers
I think the answer might be 10
You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost? Include a let statement in your answer.
Answers
Answer:
5$??.
Step-by-step explanation:
If a magazine was 5$, 25-5= 20. So then, 20÷4= 5. There fore an eraser costs 5$.
Answer:
5 dollars
Step-by-step explanation:
Let x be the price of each eraser
We bought a magazine and 4 erasers with 25 dollars
so : 5+4x = 25⇒ 4x= 20⇒x= 20/4⇒ x=5
The eraser costs 5 dollars
Answer all please number 2
Answers
Answer:
(a) 26.43%
(b) 189 seconds
Step-by-step explanation:
(a) Data
mean: 3 minutes and 48 seconds = 3*60 + 48 = 228 s standard deviation, sd: 19 svalue of interest, x: 4 minutes = 4*60 = 240 sZ-score is calculated as follows:
z = (x - mean)/sd
z = (240 - 228)/19
z = 0.63
We want to find the next probability P(Z>0.63), which is equivalent to 1 - P(Z≤0.63)
From table, 1 - P(Z≤0.63) = 1 - 0.7357 = 0.2643 or 0.2643*100 = 26.43%
(b) We want to find z1 at which P(Z≤z1) = 0.2. From the second table, z1 is between -2.05 and -2.06.
z = (x - mean)/sd
-2.055 = (x - 228)/19
(-2.055)*19 + 228 = x
x = 189 s
The sum of three consecutive integers is greater than 66. What is the smallest possible product of the largest and smallest of these integers?
Please help me on this
Answers
Answer:
528
Step-by-step explanation:
So naturally at first sight for this question we would think -->
Oh 3 consecutive integers = 66 --> 66/3 = 22 (n-1), (n+1) so --> 21, 22, and 23.
But no. At second look it is the sum of 3 consecutive integers is greater than 66. So we find the next possible pair since it says smallest possible product.
We get the set (22, 23, 24). => Multiply the least and greatest integers together respectively 22 and 24 which amounts to => 528
And thus, we have out answer of 528
Hope this helps!
⚠ PLEASE HELP ⚠ Calculate the product. (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/225) will award BRAINLIEST.
Answers
Answer:
5/8
Step-by-step explanation:
The value of the expression is 8/15
What is expression?An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.
Given an expression, (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/225)
The expression is in the form of (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/n²)
We know, (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/n²) = (n+1)/2n
Here, n = 15.
So, (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/225) = (15+1)/(2.15) = 16/30
= 8/15
Hence, The value of the expression is 8/15
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Express as a product: 1+2cosα
Answers
Answer:
Step-by-step explanation:
1+2 cos α
[tex]=1+2(2 cos^{2} \frac{\alpha }{2} -1)\\=1+4 ~cos^2\frac{\alpha }{2} -2\\=4 ~cos^2\frac{\alpha }{2} -1\\=(2cos \frac{\alpha }{2} +1)(2 cos \frac{\alpha }{2} -1)[/tex]
Consider functions f and g below. [tex]g(x) = -x^2 + 2x + 4[/tex] Which of the following statements is true? A. As x approaches infinity, the values of f(x) and g(x) both approach infinity. B. As x approaches infinity, the values of f(x) and g(x) both approach negative infinity. C. As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. D. As x approaches infinity, the value of f(x) approaches negative infinity and the value of g(x) approaches infinity.
Answers
Answer:
Step-by-step explanation:
Where is f(x)? My answers pertains only to g(x) = -x^2 + 2x + 4.
Part of B is true: As x approaches infinity in either direction, g(x) approaches negative infinity. The graph of g(x) is an inverted parabola.
1.
Identify the translation of the parent function for y = [xl - 6.
6 units left
6 units up
6 unit right
6 units down
Answers
Answer:
6 units down
Step-by-step explanation:
Transformation is the movement of a point from its original position to a new position. If an object is transformed, all the point making the object is also transformed. There are four different transformations: Reflection, dilation, translation and rotation.
If y = f(x), y = f(x) + k is a translation k units up if k > 0 and is a translation k units down if k < 0
Given that the parent function is an absolute value represented by:
y = |x|
Therefore comparing y = |xl - 6 with y = f(x) + k, k < 0, therefore this is a translation of 6 units down
250 people went to a "couples only" party at 9pm.70 people left at 11pm, how many couples stayed at the party?
Answers
Answer:
90
Step-by-step explanation:
Total People = 250
Left the party at 11 pm = 70
Stayed = 250-70
=> 180
Couples that stayed = 180/2
=> 90
Answer:
90 Couples
Step-by-step explanation:
There were 250 total people at the beginning at the party. 70 people left at 11pm.
Subtract 70 from 250:
[tex]250-70=180[/tex]
There were 180 people that stayed.
A couple consists of two people. The question asks how many couples stayed at the party, not people.
Divide 180 by 2:
[tex]\frac{180}{2}= 90[/tex]
There would be 90 couples that stayed at the party.
What is the distance to the earth’s horizon from point P? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. x = mi
Answers
Answer:
[Distance to the Horizon]^2 =Height of the skydiver x Diameter of the Earth
D^2 = 1.4 x 7918
D^2 = 11,085.2
D = Sqrt(11,085.2)
D = ~ 105.28628......miles - Distance to Horizon.
Step-by-step explanation:
Answer:
284.4 I took the test ;)
what is the volume of a right triangle with the dimesions 24 20 12
Answers
Answer:
Assuming you mean area the answer is 120
Step-by-step explanation:
a right triangle has too shorter sides who are perpendicular and one longer side that you can't use. the longer side is 24 since 24>20>12
so 24 is the hypontenuse (longer side)
the two perpendicular sides are 20 and 12
the area for a triangle is b*h*1/2
the base (20) times the height (12) is 240. 240 times 1/2 is 120.
Meaning
V=(1/2(24)(20))*(12)
The base is 240.
You multiply the base times the material height which is 12
Therefore, the answer is 2880
PLEASE MARK BRAINLIEST
9. Annie works as a school tutor and a baker. As a tutor, she earns $18 per hour. Last
week she worked x hours as a tutor and her friend paid her $25 to bake a cake.
Write an expression to represent the total amount Annie earned last week.
Type your answer below:
Answers
she earned $18 an hour and worked for x hours so to find the total, you multiply the two. (18x) but she earned some extra cash which is $25 so you need to add that to.
The total amount Annie earned last week 18x+25.
What is work in math ?In conclusion, when a force acts on an object to induce a displacement, labor is done.To determine the amount of work, three quantities must be known. The force, the displacement, and the angle between the force and the displacement are the three variables.Annie earns $18 per hour. and she worked x hours .
So, total work = 18 * x = 18x
but she earned some extra cash = 25$
now Annie's total amount with extra cash = 18x + 25
Therefore, The total amount Annie earned last week 18x+25.
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MULTIPLE CHOICE
What is 14+2(3x +9) - 5 when simplified?
A
20x +4
B
6x+27
С
X+27
Answers
Answer:
B: 6x+27
Step-by-step explanation:
14+2(3x+9)-5
14+6x+18-5
14+6x+13
6x+27 is the final answer
The Answer is: B
Step-by-step explanation:
Lines m and n are parallel. Lines m and n are parallel. Lines s and t intersect lines m and n to form a triangle. The top angle of the triangle is (2 x) degrees. At the intersection of lines s and n, the top left angle is 100 degrees. At the intersection of lines n and 7, the bottom left angle is 70 degrees. What is the value of x? 10 15 30 35
Answers
Answer:
B: 15
Step-by-step explanation:
I got it right on Edge
The value of 'x' in the top angle is 5 degrees.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
Given, The angle formed at the top of the triangle is 2x° and the angle formed at the intersection of s and n is 70° and at t and n is 100°.
We know the sum of all the interior angles in a triangle is 180°.
Therefor, 2x + 100° + 70° = 180°.
2x = 10°.
x = 5°.
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