Triangles STU and S'T'U' are congruent.
S
A
T'
U
S'
U
Which sequences of transformations on triangle STU can be used to create triangle S'T' U'? Choose all the possible sequences.
T
Answer:
Rotations
Transformations
Reflections
Which of the following pairs of triangles can be proven congruent through HL?
The pairs of triangles can be proven congruent through HL is option A.
What is the slope and y-intercept of this line?
y = -3x+9
A. slope: 3, y-intercept: -9
B. slope: -3, y-intercept: 9
C. slope: 1. y-intercept: -3
D. slope: 9, y-intercept: -3
4. For v = -2i – 7j, find the unit vector in the direction of y, and write your answer as a linear combination of the standard unit vectors i and j
5. Find u•v if u = i + 2j and v = -i + 5j.
4. If v = -2i - 7j, then its magnitude is
||v|| = √((-2)² + (-7)²) = √53
and the unit vector in the direction of v is
[tex]\dfrac{v}{\|v\|} = \boxed{-\dfrac2{\sqrt{53}} \, \vec\imath - \dfrac7{\sqrt{53}} \, \vec\jmath}[/tex]
5. Given u = i + 2j and v = -i + 5j, we have
u • v = (i + 2j) • (-i + 5j) = -(i • i) - 2 (j • i) + 5 (i • j) + 10 (j • j)
Since i and j are orthogonal unit vectors, we have i • i = j • j = 1 and i • j = 0, so the product reduces to
u • v = -1 - 0 + 0 + 10 = 9
Define an axiom in geometry
Answer:
In mathematics or logic, an axiom is an unprovable rule or first principle accepted as true because it is self-evident or particularly useful.
two fair coins are thrown at the same time.The random variable X is the number of throws of the two coins required to obtain two tails at the same time.Find the probability that two tails are obtained for the first time on the 7th throw.
Step-by-step explanation:
when throwing 2 coins, there are 4 equally probable outcomes :
1 head 1 tail
1 tail 1 head
2 heads
2 tails
so, each outcome has a probability of 1/4.
the probability to not get 2 tails is the sum of the probabilities of 3 of these outcomes. so, it is
3/4.
to get 2 tails first at the xth attempt means that it did not happen at all x-1 attempts before.
that probability for that is
(3/4)^(x-1)
and then it happens. the probability for that is 1/4.
so, the total probability for that event is
(3/4)^(x-1) × 1/4 = (3^(x-1)) / (4^x)
so, for x = 7 that gives us a probability of
3⁶ / 4⁷ = 729 / 16384 = 0.044494629...
What is the distance between B to A
Please add the method.
The angle is 61 (a bit blurry)
Now
tan61=BH/OHtan61=BH/1980BH=1980tan61BH=3572(Rounded)AB
8+35723580Answer:
24.03 units (nearest hundredth)
Step-by-step explanation:
The distance between B and A is: AB = AH + HB
We have been given AH, so we just need to find the measure of HB.
First, find the angle AOH using tan trig ratio:
[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleGiven:
[tex]\theta[/tex] = ∠AOHO = AH = 8A = OH = 19.80[tex]\implies \sf \tan(\angle AOH)=\dfrac{8}{19.8}[/tex]
[tex]\implies \sf \angle AOH = 22.00069835^{\circ}[/tex]
∠BOA = ∠BOH + ∠AOH
⇒ ∠BOH = ∠BOA - ∠AOH
⇒ ∠BOH = 61° - 22.00069835°
= 38.99930165°
Now we can find HB by again using the tan trig ratio:
Given:
[tex]\theta[/tex] = ∠BOH = 38.99930165°O = HBA = OH = 19.80Substituting given values:
[tex]\implies \sf \tan(38.99930165^{\circ})=\dfrac{HB}{19.80}[/tex]
[tex]\implies \sf HB=19.80 \tan(38.99930165^{\circ})[/tex]
[tex]\implies \sf HB=16.03332427[/tex]
Therefore:
AB = AH + BH
⇒ AB = 8 + 16.03332427
= 24.03 units (nearest hundredth)
Can someone please help me with this ?
Answer:
sorry I haven't learned this yet
Step-by-step explanation:
NO LINKS!!!
Erica is playing Target One Fractions. She has these cards: 1,2,3,4,6.
a. Which three cards should she choose to make a whole number and a fraction that have a product close to 1?
b. Write an expression for the problem Erica will solve.
c. Solve the problem.
d. What is Erica's score for this round?
Answer:
a. 2, 3, 6
b. a/b × c = 1
c. a = 2, b = 6, c = 3 or a = 3, b = 6, c = 2
Step-by-step explanation:
Apparently, Erica wants to multiply a fraction by a whole number to get a result of 1. That means the fraction is the multiplicative inverse of the whole number.
__
a.There is only one set of three unique numbers among those given such that one of them is a composite number with the other two as factors. Erica must choose 2, 3, and 6.
__
b.If the three numbers are represented by a, b, c, Erica wants ...
a/b × c = 1
__
c.Multiplying the equation by b gives ...
ac = b
Among the numbers 1–6, only 2×3 = 6 will satisfy this equation. Erica can choose either of ...
a = 2, b = 6, c = 3 ⇒ (2/6)×3 = 1
a = 3, b = 6, c = 2 ⇒ (3/6)×2 = 1
__
d.No scoring information is provided.
help me please i need it now
Answer:
1.75
Explanation:
Take two points: (0, -3), (4,4)
[tex]\sf rate \ of \ change: \dfrac{y_2- y_1}{x_2 - x_1} = \dfrac{rise}{run}[/tex]
Here rate of change:
[tex]\sf \rightarrow \dfrac{4-(-3)}{4-0}[/tex] (insert values)
[tex]\sf \rightarrow \dfrac{7}{4}[/tex] (in fraction)
[tex]\sf \rightarrow 1.75[/tex] (in decimals)
Answer:
1.75
Step-by-step explanation:
Rate of change = slope of the line
Taking two points (4,4) and (0, -3) :
slope (m) = 4 + 3 / 4 - 0slope (m) = 7/4slope (m) = 1.75URGENT PLEASE ANSWER. PHOTO OF PROBLEM ATTACHED. BRAINLIEST TO FIRST CORRECT ANSWER.
Answer:
27.23 inches
Step-by-step explanation:
question wants circumference over 2π/3 radians
2π/3 times 180/π = 120 degrees
120 is 1/3 of 360
so question wants 1/3 of the circumference
circumference is π times diameter
π times 26 = 81.6814089933
81.6814089933 divided by 3 =
27.2271363311 =
27.23
can someone please explain the process to me? this is from a final review i did so just ignore my wrong answer. Hoping to get a explanation so I can do my actual final in about an hour. thank you!
Answer:
The correct answer is supposed to be 3.36
Step-by-step explanation:
Add up all the numbers:
4 + 3.7 + 3.4 + 3 + 2.7 = 16.8
Divide by how many numbers there are:
16.8 ÷ 5 = 3.36
The graph below describes the dependence of the time traveled from point A to point B, on the speed at which the traveling occurs. With the help of the graph answer the following questions: 2 4 t, h 6 8 10 12 14 16 200 400 600 800 v, km/h How much time is necessary for traveling between points A and B, when the speed is 800 km/hour; 250 km/hour; 120 km/hour?
The time needed to travel between points A and B when the speed is 800 km/hour; 250 km/hour; 120 km/hour are 2.25 hours, 7.2 hours and 15 hours, respectively
How to determine the time taken to travel?Given the distance and speed, the time taken to move between points is calculated using:
Time = Distance/Speed
The required graph is not given.
So, we assume that the distance between both points is:
Distance = 1800km
Using the assumed value above, we have:
When speed = 800km/hr
Time = 1800/800
Time = 2.25 hours
When speed = 250km/hr
Time = 1800/250
Time = 7.2 hours
When speed = 120km/hr
Time = 1800/120
Time = 15 hours
Hence, the time needed to travel between points A and B when the speed is 800 km/hour; 250 km/hour; 120 km/hour are 2.25 hours, 7.2 hours and 15 hours, respectively
Read more about speed and distance at:
https://brainly.com/question/4931057
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Please solve (high points)
Answer:
a = 13.24 m
Step-by-step explanation:
Finding ∠A :
∠A + ∠B + ∠C = 180° (Angle Sum Property)∠A = 180° - 48° - 54°∠A = 180° - 102°∠A = 78°Applying the Law of Sines :
a / sin78° = 10 / sin48°a / 0.98 = 10 / 0.74a = 13.51 x 0.98a = 13.24 mAnswer:
13.2 m
Step-by-step explanation:
The Law of Sines can be used to solve a triangle when angles and one side are known.
__
setupThe angles of a triangle total 180°, so the missing angle A is ...
∠A = 180° -48° -54° = 78°
The Law of Sines tells us ...
a/sin(A) = b/sin(B)
a/sin(78°) = (10.0 m)/sin(48°)
__
solutionMultiplying by sin(78°), we find ...
a = sin(78°)/sin(48°)×(10.0 m) ≈ 0.978148/0.743145×(10.0 m)
a = 13.1623 m
The length of side 'a' is approximately 13.2 meters.
What is the measure of angle 1?
Answer:
90 degree angle
Step-by-step explanation:
2 times a number is 62 less than 284 , find the number
Answer:
The number is 111
Step-by-step explanation:
284-62= 222
2x111=284
Answer:
x = 111.
Step-by-step explanation:
Based on the given conditions, formulate: 2 * x = 284 - 62 Calculate the sum or difference:2 x = 222
Which of the following is the most significant greenhouse gas due to its long lifespan in the environment?
A. Carbon dioxide
B. Argon dioxide
C. Oxygen
D. Nitrogen Oxide
Answer:
Carbon dioxide
Step-by-step explanation:
I think it’s carbon dioxide because, it is the most significant greenhouse gas. I also think it’s the carbon dioxide because the question is asking which one it is and I chose carbon dioxide.
A bookstore had 120 copies of a magazine. Yesterday the bookstore sold
of these copies. How many copies were sold yesterday?
Write your answer in simplest form.
Answer:
120
Step-by-step explanation:
120 copies sold yesterday
f(x) = 4x^2 - 3 find f(x + 2)
Answer:
f(x + 2) = 4x² + 16x + 13
Step-by-step explanation:
f(x) = 4x² - 3
Then
f(x + 2) = 4(x + 2)² - 3
= 4(x² + 4x + 2²) - 3
= 4(x² + 4x + 4) - 3
= 4x² + 16x + 16 - 3
= 4x² + 16x + 13
Which of the following equations defines a line that passes through the points begin ordered pair negative 2 comma 7 end ordered pair and begin ordered pair 6 comma negative 9 end ordered pair?
The linear equation that passes through points (-2,7) and (6,-9) is given by:
y = -2x + 3
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The line passes through points (-2,7) and (6,-9), hence the slope is given by:
m = (-9 - 7)/(6 - (-2)) = -2.
Hence, since when x = -2, y = 7, when x = 0, y = 7 - 2 x (0 - (-2)) = 3, which means that the y-intercept is of b = 3, and the equation is given by:
y = -2x + 3.
More can be learned about linear equations at https://brainly.com/question/24808124
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A raised gardening bed contains 24 cubic feet of dirt. The bed is 6 feet wide and 8 feet long. How deep is the dirt in inches?
Answer:
0.5 feet
Step-by-step explanation:
Volume = Length × Width × Depth
Here :
Volume = 24 ft³Width = 6 ft.Length = 8 ft.Solving :
24 = 8 x 6 x DepthDepth = 24/48Depth = 0.5 feet3X minus 2Y is equal to or greater than or equal to four
Answer:
3x- 2y
Step-by-step explanation:
its defintly not = to four because you cant subtract two diffrent varibles so it should be less then
3.
Given: AC = 4x-29
A 19 B 2x-18
X=
AC =
BC=
C
For the following exercise, find the domain and range of the function below using interval notation.
1
2
3
4
5
6
7
8
9
10
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
1
2
3
4
5
6
7
8
9
10
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
Domain:
Incorrect no answer given
Range:
Incorrect
The domain of the linear equation y = -x will be a real number and the range of the linear equation y = -x will be a real number.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
For the following exercise.
Then the domain and range of the function below using interval notation.
The table is given below.
Then the linear equation that is passing through (1, -1) and (2, -2). Then we have
y + 1 = -x + 1
y = -x
Then the domain of the linear equation y = -x will be a real number and the range of the linear equation y = -x will be a real number.
More about the linear system link is given below.
https://brainly.com/question/20379472
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if a (+)(+) makes a positive, (-)(-) make a positive (+)(-) make a negative why is -10+7=-3 but -8-3=-11 shouldn't this positive? can someone explain when these terms apply?
Step-by-step explanation:
-10+7=-3 because 10 i greater and (-)(+)=-
-8-3=-11 because the greatest number is in negative form that's why its not in positive form
Hey there!
Guide:
Negative & negative = positive
Positive & positive = positive
Negative & positive = negative
Positive & negative = negative
For -10 + 7 = -3 it doesn’t give you a POSITIVE because you’re working with a negative (-10) and a positive (7), which it results out to be a negative number (-3)
Whereas, -8 - 3 = -11, it doesn’t also give you a positive because you’re working with a negative (-8) and a somewhat positive (3 or -3 it depends how you look at the equation), it gave you a negative result (-11).
KEEP THAT GUIDE IN MIND WHEN YOURE WORKING WITH INTEGERS, IT MAY HELP ON THE LONG WRONG! :)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
CHOOSE A MYSTERY FRACTION
THEN WRITE 3 TO 5 QLUES FOR
A CLASSMATE TO USE TO GUESS
YOUR FRACTION.
Answer:
Step-by-step explanation:
Guess My Mystery Fraction
1. My fraction has a denominator of 4*12
2. My fraction can be simplified to 5/8
3. My fraction has a numerator of 10*3
Which number is a solution of the inequality x <-4? Use the number line to help answer the question. Number line starts like and ends like “ -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1. “
whats mean and median of 11, 18, 5, 20, 8, 124, 17?
Answer:
The mean would be 29 and the median would be 17
Step-by-step explanation:
Hope this helps! :)
find the volume of a cone with a base radius of 6 cm and a height of 10 cm write in terms of pie
Answer:
Volume of the cone is 120 π cm³Step-by-step explanation:
Given that Base radius of cone is 6 cm and height is 10 cm and we need to find volume of the cone. Volume of cone is given by:
[tex] \\ \: \: \dashrightarrow \: \: \: \underline{\boxed{\pmb{\sf{Volume_{(cone)} = \dfrac{1}{3} \pi r^2 h }}}} \\ \\ [/tex]
On Substituting the required values, we get:
[tex] \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \frac{1}{3} \times \pi \times {(6)}^{2} \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \frac{1} {\cancel{3}} \times \pi \times \cancel{36} \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \pi \times 12 \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: \: { \purple{Volume_{(cone)} =120 \pi \: cm^3 }}\\ \\ [/tex]
Volume of a cone is 120 π cm³Csc2x=2. Please help me !!!
Answer:
[tex]x=\frac{\pi }{4}[/tex]
Step-by-step explanation:
csc(2x) = 2
is also the same as
sin(2x) = 1/2
so we have to solve for sin(x)=1/2
[tex]x=\frac{\pi }{2}[/tex]
but we want to sin(2x) = 1/2 so we make it.
[tex]\\2x=\frac{\pi }{2} \\x=\frac{\pi }{4}[/tex]
