Answer:
A line in geometry is a straight line that goes on infinitely in two directions. To draw a line, you would draw a straight line and add two small arrows on both ends to indicate that they stretch infinitely. To label a line, you would either label two points on the line, or you can assign a letter to the line. (Example: ↔AB or line A)
A line segment is similar to a line, but it doesn't go infinitely in either direction. To draw a line segment, you would draw two points and connect them. To label a line segment, you would label the two endpoints. (Example: ¯AB)
A ray is a line with one side that extends infinitely. To draw a ray, you would draw a point, draw a line from the point going in any direction, and add an arrow on the other end to indicate that it extends forever. To label a ray, you would label the endpoint and some other point on the ray. (Example: →AB)
An angle is the shape formed by two rays that have a common endpoint. To draw an angle, you would draw an endpoint and make two separate rays coming off of it. Then you would draw a short arc in the space between the rays to indicate that it is an angle. There are three ways to label an angle:
1. Label the vertex (∠A)
2. Label a point on one ray, the endpoint, then a point on the other ray (∠BAC)
3. Label the angle with a number or letter (∠1, ∠A)
Use trigonometry to solve the triangle shown. Round all side lengths to one decimal place and
all angle measures to the nearest whole degree.
Answer/Step-by-step explanation:
Recall: SOH CAH TOA
✔️Find <A:
Reference angle (θ) = A
Opposite side = 14 cm
Hypotenuse = 20 cm
Apply SOH:
Sin θ = Opp/Hyp
Substitute
Sin A = 14/20
A = [tex] sin^{-1}(\frac{14}{20}) [/tex]
m<A = 44° (nearest whole number)
✔️Find <C:
Reference angle (θ) = C
Adjacent side = 14 cm
Hypotenuse = 20 cm
Apply CAH:
Cos θ = Adj/Hyp
Substitute
Cos C = 14/20
C = [tex] cos^{-1}(\frac{14}{20}) [/tex]
m<C = 46° (nearest whole number)
✔️Find AB:
Reference angle (θ) = C = 46°
Opposite side = AB
Hypotenuse = 20 cm
Apply SOH:
Sin θ = Opp/Hyp
Sin 46° = AB/20
20*Sin 46° = AB
AB = 14.4 cm (one decimal place)
Round 5.233 to the nearest tenth.
Answer:
5.2
Step-by-step explanation:
The tenth is the first decimal place to the right of the decimal point
Someone please help me ASAP!!
Answer:
B' = (-6,6)
Step-by-step explanation:
The coordinates of B are (-2,2)
If the figure is to become 3 times as large, B' would be 3(-2,2) = (-6,6)
hey again can u help me with this
Answer:
option C
Step-by-step explanation:
We will take 2 coordinates from the graph and Find the equation of the line.
Let the coordinates be : ( 0, 1) and (1, 3)
step 1 : find slope
[tex]slope , m = \frac{y_2 - y_ 1}{x_2 - x_1} = \frac{3-1}{1-0} = 2[/tex]
Step 2 : equation of the line :
[tex]( y - y_1) = m (x- x_1)[/tex]
[tex](y -1) = 2 ( x -0)\\y - 1 = 2x \\y = 2x + 1[/tex]
Therefore, y = 2x + 1 represent the equation of the line.
Answer:
C
Step-by-step explanation:
You need to solve for y = mx + b
You can solve for b right away. It is clear that the line crosses the y axis at (0,1) so you have
y = mx + 1 so far.
Normally you would need two clear points to solve for m, but since you know the y intercept, you need only 1 point.
The clearest point I can see is (-2,-3) which means that
x = -2
y = - 3
Put that into the equation and solve for m.
-3 = m(-2) + 1 Subtract 1 from both sides
-3-1 = m(-2) Combine
-4 = -2 m Divide both sides by - 2
-4/-2 = m
m = 2
Answer
only a and c are real choices. That's because m = 2 in both cases.
The equation we got is y = 2x + 1 which is c
Semi easy-which boxplot represent the 5 number summary
The low temperatures for four nights in December for a city are recorded below.
−4°, 1°, 3°, −2° Which lists the temperatures in the correct order from coldest to warmest?
A) −4°, −2°, 1°, 3°
B) 1°, −2°, 3°, −4°
C) −2°, −4°, 1°, 3°
D) −4°, 3°, −2°, 1°
Answer:
the answer is A
Step-by-step explanation:
its because -4 is the coldest and 3 is the warmest out of the rest
Which represents the solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)?
Answer:
the answer is the second number line
10 Points + Brainliest this is half of my points please will mark brainliest
let f(x) = x + 2 and g(x) = 2^x + 1
Graph the functions on the same coordinate plane. What are the solutions to the equation f(x) = g(x)?
Enter your answers in the boxes. *X* *=* _____ *or* *x* *=* _____
Step-by-step explanation:
the answer is in the above image
use the app DESMOS it really helps
circuference and area of a circle PLEASE HELP
Answer:
Area=12.56
Circumference= 12.56
Step-by-step explanation:
Area formula is [tex]\pi r^{2}[/tex]
Circumference is [tex]2\pi r[/tex]
Answer:
radius=diameter/2
=4/2=2
circumference of a circle= 2πr
=2*3.14*2
=12.56ft
area of a circle=πr2
=3.14*2*2
=12.56ft
Ron’s class donated d dollars to a local charity. Danny’s class donated 21% more than Ron’s class. Which expression shows the amount Danny’s class donated in terms of the amount donated by Ron’s class?
A. 1.21d
B. 0.79d
C. d + 0.79d
D. d + 0.21
Answer:
It is A
Step-by-step explanation:
Your welcome
Let me know if you ever need help! :)
Plz help , due in 5 mins
Answer:
option a) 30 : 19
Step-by-step explanation:
[tex]Length = 7 \frac{1}{2} = \frac{15}{2}\\\\Width = 4\frac{3}{4} = \frac{19}{4}[/tex]
Ratio of length to width:
[tex]\frac{15}{2} : \frac{19}{4}[/tex]
[tex]=\frac{\frac{15}{2}}{\frac{19}{4}}\\\\=\frac{15}{2 } \times \frac{4}{19}\\\\=15\times \frac{2}{19}\\\\=\frac{30}{19}\\\\30 : 19[/tex]
need help ASAP thank you :)
Find the gradient of the line y= -4x + 5
Answer:
m = -4
Step-by-step explanation:
The given y= -4x + 5 exactly matches the format of the slope-intercept equation y = mx + b.
Thus, the gradient (slope) of the given line is -4.
Please help me !!!!
Answer:
2(x+3)
Hope u get it correct!!!
Step-by-step explanation:
I WILL MARK BRAINLIEST FOR THE FIRST ANSWER AND 15 POINTS! There are 3 gifts to be wrapped and decorated with blue ribbons. one gift requires 25.75 cm of ribbons. I want to tie the ribbon twice around each gift. what length of ribbon will be needed ro wrap 3 gifts?
Answer:
154.5 cm of ribbon
Step-by-step explanation:
I'm assuming all 3 boxes are the same.
if so do 25.75×2 then do 51.5×3.
hope this is right and what you were asking for.
Answer:
okay then I have written it check it out
In the graph above, what's the distance between (0, 2) and (5, 2)? Question 16 options: A) 2 units B) 5 units C) –5 units D) 4 units
Answer:
B) 5 units
Step-by-step explanation:
The distance between these points (0, 2) and (5, 2) will be 5 units. Then the correct option is B.
What is the distance between two points?It is the measure of distance between the two points and is known as length. The length is measured in meters generally.
Let one point be (x, y) and another point be (h, k).
Then the distance between the points will be
D² = (x - h)² + (y - k)²
The two pints are given below.
(0, 2) and (5, 2)
Then the distance between these points (0, 2) and (5, 2) will be given as,
D² = (5 - 0)² + (2 - 2)²
D² = 5²
D = 5 units
The distance between these points (0, 2) and (5, 2) will be 5 units. Then the correct option is B.
Learn more about the distance between two points here:
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if h(x) =5 for the function h(x) =2x+1 what is the value of x
Answer:
h (x) = 5
h (x) = 2x + 1
h (x) = 2 x 2 + 1 = 5
x = 2
Answer:
x = 2
Step-by-step explanation:
Its given that h(x) = 2x + 1
But its also given that h(x) = 5
[tex]=> h(x) = 2x + 1 = 5[/tex]
[tex]=> 2x + 1 = 5[/tex]
Solve the equation.
Substract 1 from both the sides.[tex]=> 2x + 1 - 1 = 5 - 1[/tex]
[tex]=> 2x = 4[/tex]
Divide both the sides by 2.[tex]=> \frac{2x}{2} = \frac{4}{2}[/tex]
[tex]=> x = 2[/tex]
ANSWERR ASAP PLSSS PLLSSS I BEGGG YOUUU
Answer:
(5/1)(4-0)-(-5)(-4-3)
Step-by-step explanation:
You could also get an undefined number by putting any number divided by 0.
Select the correct answer.
A triangle with vertices at A(0, 0), BIO, 4), and C16, 0) is dilated to yield a triangle with vertices at Ato, O), BIO, 10), and C[15, 0). The origin is the center of dilation. What is the
scale factor of the dilation?
OA 1.5
OB.
2
OC. 2.5
OD. 3
Answer:
c. 2.5
Step-by-step explanation:
4×2.5 => 10
6×2.5 => 15
so scale factor = 2.5
PLZZZ HELLPPPPP!!!!!!!! Simplify: 5!
120 is the correct answer
Answer:
120
Step-by-step explanation:
The ! denotes a factorial, 5! is simply:
5 * 4 * 3 * 2 * 1 = 120
HI I NEED THE ANSWER TO THESE ASAP! I have 5 minutes...
Find the measure of each missing angle
Answer:
Step-by-step explanation:
m3= 29%
m6= 35%
m7= 90%
What is the factorization of the trinomial below?
2x2 + 11x + 12
O A. (2x + 1)(x+12)
O B. (2x+3)(x + 4)
O C. (2x + 4)(x+3)
O D. (2x+6)(x + 2)
Answer:
O B. (2x+3)(x + 4)
Step-by-step explanation:
[tex]2x^{2} +11x+12[/tex]
[tex]2x^{2} +8x+3x+12[/tex]
[tex]2x(x+4)+3(x+4)[/tex]
[tex](2x+3)(x+4)[/tex]
98 x 63 – 32 x 69 =
Answer:
3966
Step-by-step explanation:
Use order of operations to solve this problem:
ParenthesesExponentsMultiply (Left to right)Divide (Left to right)AdditionSubractionIn your case, there are no parentheses or exponents, so we can skip right the the multiply and divide step. The first multiplication is 98*63=6174. The next step is to do 32*69=2208. Then you minus 6174-2208=3966.
Hope this helps!
A student wants to check six websites. Four of the websites are social and two are school-related. After checking just two sites, she has to leave for school.
What is the approximate probability that she checked a social website first, then a school-related website?
0.042
0.267
0.533
0.667
Answer:
The approximate probability that she checked a social website first and then a school-related website is 0.267.
Step-by-step explanation:
Given that a student wants to check six websites, and four of the websites are social and two are school-related, and after checking just two sites, she has to leave for school, to determine what is the approximate probability that she checked a social website first, then a school-related website, the following calculation should be performed:
4/6 x 2/5 = X
0.26666666 = X
Therefore, the approximate probability that she checked a social website first and then a school-related website is 0.267.
Answer:
B. 0.267 The guy above me is correct!
Step-by-step explanation:
Edge 2021 Got a 100% on the test
What is the area of the sector that is not shaded?
0 12 tt units
O 24 tt units?
0 120rt units
O 144rt units?
The area of the sector that is not shaded is 120π units²
Option C is the correct answer
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is pir^2.
We have,
The circle has 360°.
This can be written as,
Area = πr² x 360/360
Now,
The area of the not-shaded part has (360 - 60)°
So,
Area = πr² x 300/360
Now,
r = 12 units
Area = π x 12 x 12 x 300/360
Area = 120π units²
Thus,
The area of the sector that is not shaded is 120π units²
Learn more about circle here:
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I need your help friends please last time you all helped me get a 70% which is passing
The answer would be $53
assssssssssssssssssssssssssssssssss
Answer:
15, 9, 3n
Step-by-step explanation:
Just multiply the number of red balls by 3 to get total number, and divide the total number by three to get the number of red balls
Answer:
What math game is this?
Oh and this guy is correct.
Step-by-step explanation:
Nicole has 2/3 of the butter needed to make a cake. The same amount of butter is needed to make 1 cake as it does to make 14 mini cakes. What is the largest number of mini cakes Nicole can make with the butter she has?
Answer:
The largest number of mini cakes Nicole can make with the butter she has is 9.
Step-by-step explanation:
Given that Nicole has 2/3 of the butter needed to make a cake, and the same amount of butter is needed to make 1 cake as it does to make 14 mini cakes, to determine what is the largest number of mini cakes Nicole can make with the butter she has, the following calculation must be performed:
2/3 = 0.666
1 = 14
0.666 = X
0.666 x 14/1 = X
9.333 = X
Therefore, the largest number of mini cakes Nicole can make with the butter she has is 9.
WILL MARK BRAINLIEST!!!!!find the length of AC
Answer:
20
Step-by-step explanation:
a²+b²=c²
25²-15²=b²
625-225=b²
400=b²
√400=√b²
20=b
Lin decides to solve the equation using the quadratic formula. Here is her work: xxx=−b±b2−4ac−−−−−−−√2a=−(−6)±(−6)2−4(1)(10)−−−−−−−−−−−−−√2(1)=6±36−40−−−−−−√2 Lin knows 36−40 is a negative number and isn't sure what to do next. Show how Lin can write her solution using i.
Answer:
[tex]x = 3 + i\ or\ x = 3 - i[/tex]
Step-by-step explanation:
Given
[tex]x = \frac{-(-6) \± \sqrt{(-6)^2 - 4(1)(10)}}{2*1}[/tex]
Required
Solve, in terms of i
We have:
[tex]x = \frac{-(-6) \± \sqrt{(-6)^2 - 4(1)(10)}}{2*1}[/tex]
Solve the expressions in bracket
[tex]x = \frac{-(-6) \± \sqrt{36 - 40}}{2*1}[/tex]
[tex]x = \frac{-(-6) \± \sqrt{-4}}{2}[/tex]
Express -4 as 4 * -1
[tex]x = \frac{-(-6) \± \sqrt{-4*1}}{2}[/tex]
Split
[tex]x = \frac{-(-6) \± \sqrt{4}*\sqrt{-1}}{2}[/tex]
In complex numbers;
[tex]i = \sqrt{-1[/tex]
So, we have:
[tex]x = \frac{-(-6) \± 2*i}{2}[/tex]
[tex]x = \frac{6 \± 2i}{2}[/tex]
Factorize
[tex]x = \frac{2(3 \± i)}{2}[/tex]
[tex]x = 3 \± i[/tex]
Split
[tex]x = 3 + i\ or\ x = 3 - i[/tex]
