What is the perimeter of triangle ABC? Round answer to the nearest tenth.
A. 12 meters
B. 20.5 meters
C. 22.4 meters
D. 18 meters
Answers
Step-by-step explanation:
this is an isoceles, right-angled triangle.
but legs are equally long (6 m), and the baseline is per Pythagoras
baseline² = leg1² + leg2² = 6² + 6² = 36 + 36 = 72
baseline = sqrt(72) = 8.485281374... m
so, the perimeter is
6 + 6 + 8.485281374... = 20.485281374... ≈ 20.5 m
so, B is the right answer.
The Perimeter of Triangle is 6(2 + √2).
what is Trigonometry?A branch of mathematics called trigonometry examines connections between triangles' sides and angles. Due to the fact that every straight-sided form can be decomposed into a group of triangles, trigonometry may be found across all of geometry.
The area of mathematics known as trigonometry examines the link between the ratios of a right-angled triangle's sides to its angles. Trigonometric ratios, such as sine, cosine, tangent, cotangent, secant, and cosecant, are employed to analyse this relationship.
Given:
Perpendicular = 6 m
Using Trigonometry
sin 45 = P/H
1/√2 = 6/ H
H= 6√2
and, tan 45 = P/ B
1= 6/ B
B= 6
So, the perimeter of triangle
= 6 + 6 + 6√2
= 12 +6√2
= 6(2 + √2)
Learn more about Trigonometry here:
https://brainly.com/question/12068045
#SPJ2
Related Questions
Which equation has the solution x=4?
Answers
Answer: Option C is correct.
Part A
⇒ 4x = 20
⇒ x = 20/4
⇒ x = 5
Part B⇒ x/2 = 8
⇒ x = 8(2)
⇒ x = 16
Part C⇒ x + 8 = 3x
⇒ 3x - x = 8
⇒ 2x = 8
⇒ x = 4
Part D⇒ x = (x + 5)/2
⇒ 2x = x + 5
⇒ 2x - x = 5
⇒ x = 5
If f(x)=2(3x-5) when f(x) =74,what is the value of x??
Answers
Answer:
x = 14
Step-by-step explanation:
given f(x) = 2(3x - 5) and f(x) = 74 , then equating gives
2(3x - 5) = 74 ( divide both sides by 2 )
3x - 5 = 37 ( add 5 to both sides )
3x = 42 ( divide both sides by 3 )
x = 14
Hopefully this helps
Think about triangles that have
a perimeter of 15cm,
two or more equal sides,
and each side a whole number of centimetres.
Prove that there are only four of these triangles. i
Answers
In order to prove that there are only four of these triangles, we need to first restate the formula for the perimeter of a triangle which is given as: P = a + b + c. Hence, we must identify all the triangles that have two or more equal sides, and each side is a whole number.
What is the proof?
Step 1 - First, we state all the possible combination three whole numbers which when added together result in fifteen.
The numbers are given as:
1 1 132 2 113 3 94 4 75 5 56 6 37 7 1Step 2 - Eliminate options where a side is more than the sum of the other two sides
Hence,
are eliminated. The remaining triangles are four in number.
QED.
Learn more about triangles at:
https://brainly.com/question/17335144
#SPJ1
Indigo needs to order some new supplies for the restaurant where she works. The restaurant needs at least 430 knives. There are currently 269 knives. If each set on sale contains 18 knives, what is the minimum number of sets of knives Indigo should buy? (Help please)
Answers
Inequalities help us to compare two unequal expressions. The minimum number of sets of knives Indigo should buy is 8.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Let the number of sets of knives indigo should buy be represented by x.
Given Indigo needs to order some new supplies for the restaurant where she works and the restaurant needs at least 430 knives. Also, There are currently 269 knives. Now, If each set on sale contains 18 knives the inequality that can represent the minimum number of sets of knives Indigo should buy is,
269+18x≥430
18x≥430-289
18x≥141
x≥7.833
x≥8
Hence, the minimum number of sets of knives Indigo should buy is 8.
Learn more about Inequality:
https://brainly.com/question/19491153
#SPJ1
10 + (2 x 3)2 ÷ 4 × 1 over 2 to the power of 3
Answers
Answer:
1.4375
Step-by-step explanation:
[tex]\frac{10 + (2 x 3)^{2} / (4)(1)}{2^{3}} \\[/tex]
[tex]\frac{10 + (6)^{2} /4}{8} \\[/tex]
[tex]\frac{10 + 36 / 4}{8} \\[/tex]
[tex]\frac{46 /4}{8} \\[/tex] = [tex]\frac{11.5}{8} \\[/tex]
What is the time in 24 hour clock for 03:50 pm?
a.0350 hrs
b.1350 hrs
c.1550 hrs
d.1650 hrs
Answers
Answer:
Option C
Step-by-step explanation:
Any evening time on a 24 hour clock will be that hour add 12 :
3:50 pm =
3:50 + 12:00 = 15:50
Option C must be the answer
Hope this helped and brainliest please
Answer:
c.1550 hrs
Step-by-step explanation:
It Is military time to it stays going for 12:00 to 13:00 14:00 15:00 and so on
Hope This Helped
Please solve (30 points)
Answers
A real life example of an acute angle is the angle that's made in letter V.
What is a acute angle?It should be noted that an acute triangle simply means an angle that measures less than 90 degrees.
In this case, the real life example of an acute angle is the angle that's made in letter V. Other examples include slizing a pizza into different shapes.
Learn more about acute angles on:
brainly.com/question/17335144
#SPJ1
1. On a train ride cross-country, the trees, buildings, and people appear to be speeding by the window. This is because the train is our _____
2. Scientists use the ______
system for making measurements.
3. Physical science studies the relationships between ____,____,
and ______.
4. If 6.6 tyrannosaurs weigh 30,000 kg, then what does one tyrannosaur weigh?
5. For most activities, the ___
makes a handy frame of reference.
Answers
On a train ride cross-country, the trees, buildings, and people appear to be speeding by the window. While traveling in a train, it appears that the trees near the track are moving whereas co-passengers appear to be stationary.
How to explain the measurements?When measuring, scientists use a shared system of measurement, called the International System of Units (SI). Physical science is concerned with the study of natural but non-living objects.
If 6 tyrannosaurs weigh 30,000 kg, the weight of one tyrannosaur will be;
= 30000/6
= 5000kg
Learn more about measurements on:
https://brainly.com/question/25716982
#SPJ1
A bedroom measures 9 feet long and 11 feet wide. A scale drawing is made using a scale factor of 112.
What is the length of the bedroom in the scale drawing?
Drag and drop a number to correctly complete the statement.
Answers
Given the previous length of the bedroom and the current scale factor, the length of the bedroom in the current scale drawing is 1008ft.
What is the length of the bedroom in the scale drawing?Scale factor is simply a measure for similar figures, who look the same but have different scales or measures.
To get new dimension;
New dimension = scale factor × current dimension
Given that;
Current length of the bedroom = 9ftCurrent width of the bedroom = 11ftScale factor = 112New length of the bedroom = ?New dimension = scale factor × current dimension
New length of the bedroom = 112 × 9ft
New length of the bedroom = 1008ft
Therefore, given the previous length of the bedroom and the current scale factor, the length of the bedroom in the current scale drawing is 1008ft.
Learn more about scale factor here: https://brainly.com/question/22312172
#SPJ1
Are the equations 1/2x-8=9 and x-8=18 equivalent?
Answers
Answer:
not equivalent
Step-by-step explanation:
solve for x to see if they are equivalent
1/2x-8=9 and x-8=18
1/2x=17
x=34
x-8=18
x = 36
no they are not equivalent
1/2x=17
X=16 1/2
X-8=18
C=26
No
helppppppppppppppppp pleaseeeeeeeeeeee
Answers
What is the base in the expression 4^5
4
5
9
20
PLS ANSWER FAST !!
Answers
Answer:
The answer is 4
Step-by-step explanation:
The base of 4^5 is 4. The exponent is 5 and 9 & 20 do not work as we are not multiplying 4 and 5 to get 20.
A ski resort claims that there is a 75% chance of snow on any given day in january and that snowfall happens independently from one day to the next. a family plans a four-day trip to this ski resort in january. let x represent the number of days it snows while the family is there. what are the mean and standard deviation of x? mu subscript x baseline = 1, sigma subscript x baseline = 1 mu subscript x baseline = 2, sigma subscript x baseline = 0.56 mu subscript x baseline = 3, sigma subscript x baseline = 0.75 mu subscript x baseline = 3, sigma subscript x baseline = 0.87
Answers
Using the binomial distribution, it is found that the mean and the standard deviation of variable x are given as follows:
[tex]\mu = 3, \sigma = 0.87[/tex]
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
In this problem, we have that the parameters are given as follows:
n = 4, p = 0.75.
Hence the mean and the standard deviation are given as follows:
E(X) = np = 4 x 0.75 = 3.[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{4 \times 0.75 \times 0.25} = 0.87[/tex]More can be learned about the binomial distribution at https://brainly.com/question/24863377
#SPJ1
The table below shows some inputs and outputs of the invertible function fff with domain all real numbers.
xxx 141414 -6−6minus, 6 -1−1minus, 1 101010 -10−10minus, 10 333
f(x)f(x)f, left parenthesis, x, right parenthesis 777 -10−10minus, 10 -15−15minus, 15 141414 -4−4minus, 4 -9−9minus, 9
Find the following values:
f^{-1}(f^{-1}(7))=f
−1
(f
−1
(7))=f, start superscript, minus, 1, end superscript, left parenthesis, f, start superscript, minus, 1, end superscript, left parenthesis, 7, right parenthesis, right parenthesis, equals
7
f^{-1}(-4)=f
−1
(−4)=f, start superscript, minus, 1, end superscript, left parenthesis, minus, 4, right parenthesis, equals
(thats for the people who copied and pasted it off Khan Academy.)
PS: I DONT KNOW IF IT IS CORRECT!!!!! please, someone check it.
Answers
The value of f⁻¹(f⁻¹(7)) is 10
How to determine the value of the expression?The expression is given as:
f⁻¹(f⁻¹(7))
We start by solving the inner expression f⁻¹(7).
The above means that we determine the x value when y = 7.
So, we have:
f⁻¹(7) = 14
Substitute f⁻¹(7) = 14 in f⁻¹(f⁻¹(7))
f⁻¹(14)
Next, we determine the x value when y = 14
f⁻¹(14) = 10
Hence, the value of f⁻¹(f⁻¹(7)) is 10
Read more about functions at:
https://brainly.com/question/4025726
#SPJ1
Answer:
20
10
Step-by-step explanation:
A caterer charges the same price for each wrap orderd.each bottle of water is also the same price. The cost of buying 50 wraps and 60 water bottles is $445. The cost of buying 60 wraps and 40 water bottles is $470 what is the price?
Answers
Answer:it’s in the explanation
Step-by-step explanation:
a. Each wrap costs $2.00, and each bottle of water costs $6.50.
b. Each wrap costs $4.70, and each bottle of water costs $4.70.
c.Each wrap costs $5.30, and each bottle of water costs $3.00.
d. Each wrap costs $6.50, and each bottle of water costs $2.00.
Answer:
The wraps are $6.50 and the water bottles are $2
Step-by-step explanation:
What is the equation of the function shown in the graph, given that the equation of the parent function is f(x)=(1/7)^x
Answers
The equation of the graphed function is given as follows:
g(x) = (1/7)^x - 4.
What is a translation?A translation happens when either a figure or a function are moved horizontally or vertically.
The four translation rules for functions are given as follows:
Left a units: f(x + a).Right a units: f(x - a).Up a units: f(x) + a.Down a units: f(x) - a.The parent function for this problem is given as follows:
f(x) = (1/7)^x.
(which has an asymptote at y = 0).
The function was shifted down 4 units, meaning that the translated function is given as follows:
g(x) = (1/7)^x - 4.
And the correct option is given by the first option.
More can be learned about translations at brainly.com/question/28174785
#SPJ1
Astrid travels 130 km in 2 hours and then at 85 km/h for another 3 hours to reach her
destination. On the return journey home, she travels a total of 5 hours.
Determine the speed of the car that Astrid will travel to get home.
Answers
Answer:
[tex]\huge\boxed{\sf Speed = 77\ km/hr}[/tex]
Step-by-step explanation:
Formula to be used in the question:Speed = Distance / TimeDistance for the first 2 hours:= 130 km
Distance for the next 3 hours:Speed = 85 km/h
Time = 3 hours
So,
Distance = Speed × Time
Distance = 85 × 3
Distance = 255 km
So,
Total distance from home to destination:= 130 + 255
= 385 km
Speed on the return journey:Total distance = 385 km
Time = 5 hours
Speed = Distance / Time
Speed = 385 / 5
Speed = 77 km/hr
[tex]\rule[225]{225}{2}[/tex]
When Vince does 14 push-ups and 12 sit-ups, it takes a total of 52 seconds. In comparison, he needs 48 seconds to do 12 push-ups and 12 sit-ups. How long does it take Vince to do each kind of exercise?
Answers
Answer:
it takes 2 seconds to do one situp
it takes 2 seconds to do one pushup
to do 14 pushups, it takes 28 seconds.
to do 12 situps it takes 24 seconds
to do 12 pushups, it takes 24 seconds
BRAINLIEST PLEASE!
hope this helps :)
Step-by-step explanation:
14x + 12y = 52
12x + 12y = 48
^^^ this is an inequality that we can make.
x stands for pushups
y stands for situps
if we subtract the second equation from the first, we get
2x = 4
x = 2
now we can place x in one of the equations to solve for y
12(2)+12y=48
24 + 12y = 48
12y = 24
y = 2
30,098 in standard form
30,098 to four significant figures
Answers
Significant figures = 30100
help me please, i need an answer asap
Answers
Answer:
answer is A - library books by genre and by Adult or Child
Step-by-step explanation:
your column on the left will have different genre of books
your top column will have children or adults
Can anyone help me solve this?
Answers
Answer:9
Step-by-step explanation:
Use the pythagorean theorem. [tex]a^{2}+b^{2}=c^{2}[/tex]
We know both a and c, so it becomes
[tex]4^{2}+b^{2}=\sqrt{97}^{2}[/tex]=
16+b^2=97=
97-16=b^2=
81=b^2=
9=b
Tanya and tim clean the house in 3 hours their 3 children at the same 6 hours
how long would it take to clean the whole house if they did it together?
Answers
It will take them exactly 4hours 48 minutes.
what is rate?Rate is a measure of a given quantity against a known or standard quantity.
Analysis:
If Tanya and Tim cleaned the house in 3 hours. Then either of them would clean the house in 2 x 3 = 6 hours.
If their 3 children cleaned the house in 6 hours, then each child would clean the house in = 3 x 6 = 18 hours
Total time for cleaning the house = 18 hours + 6 hours = 24 hours
If the five people were to do it at once then time taken to clean the house = 24/5 = 4.8 hours = 4 hours 48 minutes
In conclusion, the time for 5 people to clean the house is 4 hours 48 minutes
Learn more about rate: brainly.com/question/24304697
#SPJ1
To play a board game, a player spins the pointer of a spinner with four equal sections numbered 1–4, and then flips a fair coin. Use a tree diagram to represent the sample space. What is the probability of spinning either a 3 or a 4 AND flipping a head?
Answers
Answer:
2/8
Step-by-step explanation:
there is the 4 sections of a spinner and 2 sides on the coin when you lay it out that leaves 2 opportunities to spin a 3 or a 4 and flipping heads
11-8(12+6)÷6²
pls answer right :)
Answers
Answer: The answer is 7
I did the math
Answer:
7
Step-by-step explanation:
11 - 8(12 + 6) / 6²
Rearrange using the order of operations.
11 - ((8 * (12 + 6)) / (6²))
((8 * (12 + 6)) = 144
(6²) = 36
(6²) / 144 = 4
(11 - 4)
= 7
4. At which point does the function y = -x² + 6x - 5 reach its maximum value?
Answers
Answer:
(3,4)
Step-by-step explanation:
Hello!
To find the maximum value, we can find the vertex of the graph.
Since the coefficient of x² is negative, the graph opens downwards, meaning that the vertex would be the highest point.
To solve for the vertex, we can convert it to vertex form.
Converty = -x² + 6x - 5y = -1(x² - 6x) - 5y = -1(x² - 6x + 9) - 5 + 9y = -1(x - 3)² + 4The vertex is (3,4)
[100 POINTS] Find the values of x, y, and z.
Answers
Y-90
Z-90
Hope this help I’m not sure if I’m right but hopefully
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
x and y are values that represent the angle made by respective arcs on centre of the circle
that is :
x = 20°Here, Angle x + Angle z = 180°
[ because they form linear pair ]
z + x = 180z = 180 - xz = 180 - 20z = 160°Now, we can observe that angle made by Arc Y is equal to :
y = z + x = 160° + 20° = 180°What are the coordinates of the vertices of the image?
Translate the shape A four squares right and two squares down.
Answers
Answer:
see explanation
Step-by-step explanation:
a translation of 4 squares right means add 4 to the x- coordinate
a translation of 2 squares down means subtract 2 from the y- coordinate
then
(1, 1 ) → (1 + 4, 1 - 2 ) → (5, - 1 )
(3, 1 ) → (3 + 4, 1 - 2 ) → (7, - 1 )
(1, 4 ) → (1 + 4, 4 - 2 ) → (5, 2 )
A trellis consists of overlapping wooden slats.
1.What is the position of the indicated angles?
2.What should the value of x be in order for the two slats to be parallel?
3. Which theorem or postulate will you use to prove the parallel slats?
4. Find the measure of the indicated angle.
Answers
The value of x in order for the two slats to be parallel is 6.
The measure of the indicated angle is 42°
What is an angle?
The angle is the measure of how inclined are the two surfaces, or lines with respect to each other.
For the slats to be parallel. both the given angles must be equal
So,
(3x +24)° = 7x°
Solving this expression, we get
7x -3x = 24
4x =24
x = 6°
The measure of the indicated angle is
(3x +24)° = 3x6 +24
(3x +24)° = 18+24
(3x +24)° =42°
and 7x = 7x6 =42°
Thus, the measure of the angle is 42°
Learn more about angle.
https://brainly.com/question/13954458
#SPJ1
Please someone help me with this
Answers
0.75355=x/1000
X=753.55
Answer is C
Answer:
Option c
Step-by-step explanation:
Since tangent = op/adj, in this case the tan37 would be x/1000.
Then, set it up as an algebra problem.
tan37 = x/1000
Multiply both sides by 1000, so 1000tan37=x
that simplifies to x = 753.6
nth term of this quadratic sequence -1,2,7,14,23
Answers
Since we know it's quadratic, the n-th term will follow the pattern
[tex]x_n = an^2 + bn + c[/tex]
for some unknown coefficients a, b, and c.
Given that [tex]x_1=-1[/tex], [tex]x_2=2[/tex], and [tex]x_3=7[/tex], we have the following conditions on these coefficients:
[tex]\begin{cases} a + b + c = -1 \\ 4a + 2b + c = 2 \\ 9a + 3b + c = 7 \end{cases}[/tex]
Solve this system to get a = 1, b = 0, and c = -2. Then
[tex]\boxed{x_n = n^2 - 2}[/tex]
To solve the system, use elimination.
[tex](4a + 2b + c) - (a + b + c) = 2 - (-1) \implies 3a + b = 3[/tex]
[tex](9a + 3b + c) - (a + b + c) = 7 - (-1) \implies 8a + 2b = 8 \implies 4a + b = 4[/tex]
[tex](4a + b) - (3a + b) = 4 - 3 \implies a = 1 \implies b = 0 \implies c = -2[/tex]