Answer:
Angle A = 49° Angle B = 41° Side AB = 30.5
Step-by-step explanation:
Let's work out Angle A and Angle B first. We are given AC and CB, therefore AB must be the hypotenuse as it is the longest side.
AC and CB must be the opposite and adjacent sides, therefore we can use tan(x) = Opposite/Adjacent for working out both Angle A and Angle B.
Angle A:
tan(A) = 23/20 For Angle A, CB (23) is the side opposite the angle and AC (20) is the side in between Angle A and the right angle, also the adjacent side.
A = [tex]tan^{-1}(\frac{23}{20})[/tex] We do the inverse of tan here.
A = 48.9909131
A = 49° Rounding to the nearest degree simply means to the nearest whole number.
Angle B:
tan(B) = 20/23 For Angle B, AC (20) is the side opposite the angle and CB (23) is the side in between Angle B and the right angle, also the adjacent side.
B = [tex]tan^{-1}(\frac{20}{23})[/tex]
B = 41.0090869
B = 41°
Side AB:
We can just use Pythagoras' Theorem here to work out AB, but I will also use trigonometry to show you how you can use both formulas. When I use trigonometry, I will only be using Angle A as an example.
Pythagoras' Theorem: [tex]a^{2} + b^{2} = c^{2}[/tex]
AC = 20 = a
CB = 23 = b
[tex]20^{2} + 23^{2} = c^{2}[/tex]
929 = [tex]c^{2}[/tex]
c = [tex]\sqrt{929}[/tex]
c = 30.47950131
c = 30.5 Rounding to the nearest 10th simply means rounding to 1 decimal place.
Trigonometry: SOHCAHTOA
Angle A = 49°
AC = 20 I will use AC as our adjacent side instead of CB. They will both give us the same answer anyways.
AB will always be the hypotenuse in the given right-angled triangle.
cos(x) = Adjacent/Hypotenuse
cos(49) = 20/AB
ABcos(49) = 20 Here we multiply by AB, our hypotenuse.
AB = 20/cos(49) Now we divide by cos(49)
AB = 30.48506173 As you can see here, this answer is different from the Pythagoras' Theorem one because we rounded our angle values, meaning out angle values aren't exact! Instead, use Pythagoras' Theorem here for more accurate results instead of Trigonometry.
AB = 30.5 They still give us the same answer in the end!
I hope this helps you!! ^-^
help out for these two questions please
Answer:
23 - A
24 - x = -3 and x = 1
Step-by-step explanation:
Hey There!
So if you didnt know the " zeroes" are the coordinates of where x=0
For the first one the zeroes would be 1 because that's where the line is at x=0
For the second one the zeroes would be x=-3 and x=1 because that's where x=0 if that makes sense
pls help Will give Brainliest
Answer: 15
Step-by-step explanation:
5x = 75
x = 15
Angles are the same since they are vertical angles
Is 121,031 divisible by 3?
help me pls thank u <3
John bought a crate of floor tiles $100. The crate had 5 boxes of floor tiles. Each box contained 40 floor tiles. Write an equation to determine the cost per tile, t.
Answer:
5x+40=100
Step-by-step explanation:
The equation to determine the cost per tile, t will be [tex]\rm 200 \times t =100[/tex] and the cost per tile, t = 1/2$.
The total cost of a crate of floor tiles was $100 which had 5 boxes of floor tiles and each box contained 40-floor tiles. we have to determine the equation for the cost per tile, t.
What is the cost per tile?Here, Cost per tile = $t
Per Box Contain 40 tiles.
So, Price for 1 box = [tex]\rm 40\times t[/tex]
and Total price of crate = [tex]\rm 40 \times t \times5[/tex]
Therefore, [tex]\rm 40 \times t \times5=100[/tex]
[tex]\rm 200 \times t =100[/tex]
[tex]\rm t = \frac{1}{2}[/tex]
Hence, the cost per tile, t = 1/2.
The equation to determine the cost per tile, t will be [tex]\rm 200 \times t =100[/tex] and the cost per tile, t = 1/2$.
Learn more about the linear equation here:
https://brainly.com/question/11897796
Can anybody help me?
Answer:
[see below]
Step-by-step explanation:
We are given the two points (0,3) and (2,0). We can use the slope formula to find the slope.
[tex]\frac{0-3}{2-0}=\frac{-3}{2}=-\frac{3}{2}[/tex]
The slope is negative three-halves.
Since the point passes the point (0,3), 3 would be the y-intercept.
Hope this helps.
Please does anyone know the answer to this question??
9514 1404 393
Answer:
126°
Step-by-step explanation:
To find the exterior angle, we need to know one of the acute angles. Those are found using the fact that they are complementary.
(5x -6) +(3x) = 90
8x = 96 . . . . . . . . . . . add 6, collect terms
x = 12 . . . . . . . . . . . . . divide by 8
3x° = 3·12° = 36° . . . . . . find the "remote" acute angle
exterior angle = 90° +36°
exterior angle = 126°
__
The exterior angle is the supplement of the one marked (5x-6)°. It is also the sum of the two remote interior angles, 90° and 3x°. Being lazy, we figure that 90 +3·12 is easier to compute than 180 - (5·12 -6). Either way, the exterior angle is 126°.
The center of a clock is at (0,0) in a coordinate system, and the minute hand is 10 inches long. Find the approximate coordinates of the tip of the minute hand at: 12:05 p.M.
Answer:
(5, 8.66)
Step-by-step explanation:
Let x represent the x coordinate of the clock tip and y represent the y coordinate of the clock tip.
At 12:05 pm, the clock tip forms an angle of 60° with the x axis. Therefore:
θ = 60°
[tex]tan\theta=\frac{y}{x} \\\\tan60=\frac{y}{x} \\\\y=1.732x\\\\y-1.732x=0\ \ \ (1)[/tex]
Since the minute hand is 10 inches long, hence:
[tex]\sqrt{x^2+y^2}=10\\\\x^2+y^2=100\\\\substituting\ y=1.732x, gives\\\\x^2+(1.732x) ^2=100\\\\x^2+3x^2=100\\\\4x^2=100\\\\x^2=25\\\\x=5[/tex]
To find y, substitute x = 5:
y = 1.732(5) = 8.66
This means that the coordinate of the tip of the minute hand at: 12:05 p.M. is (5, 8.66)
What is the slope of y = -4x – 3
Answer:
-4
Step-by-step explanation:
bc the equation is y=mx+b and m is y/x so -4
i really need help please
Answer:
Step-by-step explanation:
85/3
I need some help on this
Answer:
Step-by-step explanation:
Point of intersections of the graph with x-axis are not clear.
Let these points are x = -a, -b and c
Therefore, function representing the graph will be,
f(x) = p(x + a)(x + b)(x - c)
Since, this graph crosses y-axis at (0, -6),
f(0) = p(0 + a)(0 + b)(0 - c) = -6
-pabc = -6
p = [tex]\frac{6}{abc}[/tex]
Therefore, equation of the given function will be,
f(x) = [tex]\frac{6}{abc}(x+a)(x+b)(x-c)[/tex]
Please help !! I will give you brainliest!!
Explain each step you took to solve this question.
Given: Angle ^HMA is bisected by MT.
HT = MT
Find the measure of angle ^MAT.
Answer:
angle MAT=48
Step-by-step explanation:
angle H = 44
angle M = 88
angle A = 48
triangle HTM is an isosceles triangle which means its other two angles are congruent and to find those two measurements we do (180-92)/2=44MT bisects, meaning split equally in half, so we multiply 44 by 2 and now we have angle measures of H&M180-(H+M)= AMatch the reasons with the statements.
Answer:
top=3, middle=2, bottom= 1
Step-by-step explanation:
The graphs show the audience, in millions, of two TV shows as a function of the episode number. For the first show (top graph) pick two episode numbers between which the function has a negative average rate of change, if possible. Estimate the average rate of change, or explain why it is not possible.
Answer:
The slope between two points. The rate at which the dependent variable changes with the independent variable. Yes between episode 5 and episode 6
Step-by-step explanation:
someone 10 points...?
Answer:
Frequently consuming unusually large amounts of food in one sitting and feeling that eating behavior is out of control is a binge eating disorder and a binge eating is when you eat a lot of snacks but u know how to control how much to eat.
Step-by-step explanation:
i forgot to make it an answer my bad
Which statement about these triangles is true?
Pre-Image
Image
12 + 3
12
5
5+3
Answer:
The answer will be B
Step-by-step explanation:
Beach towels are on sale for $1.50 off of the regular price. Ms. Ortiz buys 4 beach towels on sale for a total of $33.96. Use equations to determine the regular price of a beach towel.
Answer: $9.99
Step-by-step explanation:
From the question, we are informed that beach towels are on sale for $1.50 off of the regular price and that Ms. Ortiz buys 4 beach towels on sale for a total of $33.96.
The amount for each beach towel bought will be:
= $33.96/4
= $8.49
Since there's $1.50 off the normal price, that means the normal price for each will have been:
= $8.49 + $1.50
= $9.99
-2x-y=0, where x≤0
Find the 6 trigonometric functions
Answer:
very hard, why don't you search on internet
On a map. 1 inch equals 15 miles. Two cities are 6 inches apart on the map. What is the actual distance between the cities?
Answer:
90 miles
Step-by-step explanation:
The person who answered first explained it well, so I dont have to.
have a nice day :)
The product of five times p and seven times q is
Answer:
Step-by-step explanation:
(5p)(7q)=35pq
Answer:
The product of five t imes p and 7 times q is just:
5p(7q), which is 42pq
Let me know if this helps!
Work out the surface area of this cylinder.
7 cm
12 cm
Answer:
Total surface of CYLINDER=2 pierh
=2*22\7**7*7*12=528cm2
volume of CYLINDER=pier2h
= 22\7*7*7*12=1848cm3
MARK ME AS A BRAINLIEST#keepstudying
#Brenier
simon is ironing shirts it takes him 15 minutes to iron 2 shirts how long would it take him to iron 26 shirts give your answer in hours and minutes
Answer:
3 hours 15 minutes
Step-by-step explanation:
Simon is ironing shirts it takes him 15 minutes to iron 2 shirts.
2 shirts = 15 minutes
1 shirt = (15/2) minutes
For 26 shirts,
[tex]26\ shirts = 26\times \dfrac{15}{2}\ min\\\\=195\ minutes[/tex]
or
Time = 3 hours 15 minutes
Hence, it will take 3 hours 15 minutes to iron 26 shirts.
factor 5x^3 - 2x^2 using the GCF
Answer:
x^2(5x-2)
Step-by-step explanation:
The gcf of the whole expression is x^2. You then factor out it from the expression to get x^2(5x-2)
given:2y-1/-3=-5 prove:y=8
Answer:
2y + 1/3 = 5
2y = -5 -1/3
2y = -16/3
Y = -8/3
Step-by-step explanation:
im pretty sure thats the answer but good luck!
An equilateral triangle with side length 9 cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.
Question:-
Find the area of an equilateral triangle with side length = 9cm correct upto one decimal place.
_______________________________________________
Solution:-
In an equilateral triangle all sides are equal.
Let s = side length = 9 cm
Then, area of equilateral triangle is given as:
A = (√3/4)s²
Putting the value of s here,
A = (√3/4) * (9 cm)²
=> A = (√3/4) * 81 cm²
=> A = √3 * 20.25 cm²
We know that, √3 = 1.732
=> A = 1.732 * 20.25 cm²
=> A = 35.073 cm²
Rounding to one decimal place,
=> A = 35.1 cm²
_______________________________________________
The answer is 35.1 cm².
Hope this helps; have a great day!
What is the area of this figure?
Answer:
[tex]\Huge\boxed {A =859ft^{2} }[/tex]
Step-by-step explanation:
Hello There!
To solve for the area of this figure we need to split the figure into 3 different parts:
A rectangle with a length of 9 ft and a width of 7 ft
a rectangle with a width of 9ft + 7ft and a length of 25 ft
a rectangle with a width of 18 ft and a length of 22 ft
To find the area of a rectangle we use the formula
[tex]A=w*l[/tex] where w = width and l = length
for the first one we plug in the values
A = 9 * 7
9 * 7 = 63 so the area of the smallest rectangle is 63ft²
Now lets find the area of the larger rectangle
The dimensions are l = 25 ft and w = 9 + 7 (16 ft)
Now we can plug in the values into the area formula
A = 16 * 25
16*25=400 so the area of the larger rectangle is 400 ft²
Now lets find the area of the last rectangle
The dimensions are l = 22 ft and w = 18 ft
now lets plug in the values to the formula
A = 22 * 18 =396
so the area of the last rectangle is 396 ft²
Finally we want to add all of the areas together
396 + 400 + 63 = 859
So the area of the figure is 859 ft²
Which of the following describes the roots of the polynomial function ix) = (x+2)?(x-4)(x+1)3?
Help fast
Step-by-step explanation:
2 with multiplicity 2, -4 with multiplicity 1, and 1 with multiplicity 3.
I need Help, Will give Brainliest to first person to answer
Answer:
- 26
Step-by-step explanation:
The volume (V) is calculated as
V = lwh ( l is length, w is width, h is height ), then
V = 2x(3x + 1)(5x - 6) ← expand the factors using FOIL
= 2x(15x² - 13x - 6) ← distribute parenthesis by 2x
= 30x³ - 26x² - 12x
The second term is - 26x² with coefficient - 26
Which equation represents a line which is parallel to the line 4x-5y=30
I'm doing my homework and I forgot how to do these
Answer:
9 - 15/2
10 - 9
11 - 16/3
12 - 5/6
Step-by-step explanation: