Find the area of this triangle.
Round to the nearest tenth.
57°
11 in
6 in
[?] in2
Enter
![Find The Area Of This Triangle.Round To The Nearest Tenth.5711 In6 In[?] In2Enter](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/pMdIIbfhmLND4CJuV0i4OviOyRBgUSyp.png)
Answers
Answer:
27.6 is the area
Step-by-step explanation:
Area of the given triangle is equals to [tex]27.6 in^{2}[/tex](round to nearest tenth).
What is triangle?" Triangle is defined as two dimensional geometrical shape with three vertices, three sides and three angles enclosed in it."
Formula used
Pythagoras theorem
(Hypotenuse)² = (Base)² + (Height)²
Area of a right triangle = [tex]\frac{1}{2} \times b\times h[/tex]
[tex]b[/tex] represents the base of the triangle
[tex]h[/tex] represents the height of the triangle
According to the question,
In a given triangle,
Hypotenuse [tex]= 11in[/tex]
Height [tex]= 6in[/tex]
Substitute the value in Pythagoras theorem to get the measure of base,
[tex](11)^{2} = b^{2} + 6^{2}\\\\\implies b^{2}= 121 -36\\\\\implies b =\sqrt{85}[/tex]
Substitute the value in the formula to find area of a triangle,
Area of a triangle [tex]= \frac{1}{2}\times \sqrt{85} \times 6[/tex]
[tex]= \frac{1}{2} \times 9.22 \times 6\\\\= 9.22 \times 3\\\\= 27.66[/tex]
≈ [tex]27.6in^{2}[/tex] ( round to nearest tenth)
Hence, area of the given triangle is equals to [tex]27.6 in^{2}[/tex](round to nearest tenth).
Learn more about triangles here
https://brainly.com/question/12538366
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Related Questions
Find the Value of x.
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Sydney currently earns 11.50 an hour working part time. What is the minimum increase per hour she needs to at least match the average annual rate of inflation at three percent
Answers
Answer:
The salary of Sydney to meet the loss due to inflation should be 11.85 per hour
Step-by-step explanation:
The inflation rate is 3%
This means that the alary amount will reduce by 3%.
3% of Sydney's hourly salary is
[tex]\frac{3}{100} *11.50[/tex] = 0.345
Hence, the new salary must increase by 0.345 dollar per hour
The salary of Sydney to meet the loss due to inflation should be 11.50 + 0.345 = 11.845 or 11.85
(WILL GIVE BRAINLIEST)What is the total surface area of a rectangular block whose
length, width, and height are 12, 10, and 4 respectively?
ANSWER CHOICES:
480
416
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Answer:
480
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AB is tangent to circle at B. Find x.
Answers
Answer:
x = 6
Step-by-step explanation:
using the Pythagorean theorem:
(4 + x)² = 8² + x²
16 + 8x + x² = 64 + x²
subtract x² and 16 from each side of the equation:
8x = 48
divide both sides by 8:
x = 6
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Answer:
Hello! answer: radius is 6
Step-by-step explanation:
It shows that the diameter is 12 the radius is half of that therefore the radius is 6 hope that helps!
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Example: 15 degrees Fahrenheit is presented first so you put a dot over 15 on the number line :)
Answer: 10 should have one dot, 14 should have one, 15 should have two, 16 should have one, 17 should have three, 18 should have one, and 20 should have one
Step-by-step explanation: count how many certain numbers there are and then place how ever many of the same number there are with dots on the graph
The starting salary for delivery driver is 35,000 per year with a yearly increase of 3% which type of function best models this situation
Answers
Answer:
Option B
Step-by-step explanation:
The complete question is
The starting salary for a delivery driver is $35,000 per year with a yearly increase of 3%. which type of function best models this situation? a) exponential b) linear c) quadratic d) radical
Solution
After 1 year the salary of delivery boy will be
[tex]35000 + 35000*0.03\\35000+1050\\36050[/tex]
Salary of delivery boy after 2nd year =
[tex]36050 + 36050*0.3 = 37131.5[/tex]
Salary after 3rd year
[tex]37131.5 + (37131.5*0.03) = 38245.45[/tex]
The growth in salary is linear as depicted from the values obtained.
Hence, option B is correct
The length of a planet's orbit around a star is approximately 16,340,000 km. It takes the planet about 810 Earth days to complete a full orbit. What is the planet's average speed in kmh-1 to 3sf? HELP
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Answer:
841 kmh-1
Step-by-step explanation:
speed = distance / time
time = 810 x 24 = 19440
16,340,000 km / 19440 = 840.535
8 (x + 4) = 62.4 what does x represent
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Answer:
8 (3.8 + 4)
Step-by-step explanation:
x=3.8
Amber wants to go to a university where the tuition is $7500 per year. She has a scholarship that pays for 50% of his tuition. Her parents have given her $2000 toward her first year's tuition. How much money does Amber need to save to be able pay for first year of her college?
Answers
Answer:
1750
Step-by-step explanation:
divide 7500 by 2 and you get 3750
3750-2000=answer
Answer:
1750
Step-by-step explanation:
7500/2=3750 (amount paid by scholarship). This leaves her owing 3750 but her parents are paying 2000.
3750-2000=1750 needed to save.
Identify any outliers of the data set. Then determine the effect that the outlier has on the mean.
375, 350, 400, 375, 375, 425, 350, 125, 400
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Answer:
125 is an outlier
125 changes the mean by 23 points (from 375 to 352)
Step-by-step explanation:
an outlier is 1.5 times the IQR
the InterQuartile Range of this set of data is 400-350 or 50
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the only data value that is 75 points from the IQR is 125
Miss McIntosh leaves a $6.75 tip for her waiter. If her tip was 20% of the cost of her meal, what was the cost of her meal?
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Answer: 72$
Step-by-step explanation:
because
H(x)= ⎩ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎧ 8+6x x+4 10 4x−3 , , , x<−7 −7≤x<−5 x≥−5
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Answer:
[tex]h(-6) = -\frac{1}{5}[/tex]
Step-by-step explanation:
Given
[tex]h(x) =\left[\begin{array}{cc}8 + 6x\ \ &x < -7\\\frac{x + 4}{10} &-7 \le x <-5 \\4x - 3\ &x \ge -5\end{array}\right[/tex]
Required
Determine h(-6)
To do this, we make use of:
[tex]h(x) = \frac{x + 4}{10}[/tex]
Because [tex]-7 \le -6 <-5[/tex]
So, we have:
[tex]h(x) = \frac{x + 4}{10}[/tex]
[tex]h(-6) = \frac{-6 + 4}{10}[/tex]
[tex]h(-6) = \frac{-2}{10}[/tex]
Simplify
[tex]h(-6) = -\frac{1}{5}[/tex]
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Answer:-13=b, b=-13
Step-by-step explanation: Move -6 to the other side, which turns it to positive. Now you subtract -19+6=-13
Answer:
[tex]b=-13[/tex]
Step-by-step explanation:
[tex]-19 = b - 6[/tex]
Switch sides
[tex]b-6=-19[/tex]
Add 6 to both sides
[tex]b-6+6=-19+6[/tex]
Simplify
[tex]b=-13[/tex]
Directions: Find the odds and the probability of the event(s) occuring.
You roll a fair six-sided die twice. The
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Radioactive technetium-99m is often used in diagnostic medicine because it has relatively short half-life but lasts long enough to get the needed testing done on the patient. If its half-life is 6 hours, how much of the radioactive material from a 2.5ml injection will be in the body in 30 hours? Write your answer rounded to nearest hundredth.
Answers
Using an exponential function, it is found that 0.08 ml of the will be in the body in 30 hours.
The amount of a decaying substance is modeled by an exponential function in the following format:
[tex]A(t) = A(0)e^{-kt}[/tex]
In which:
A(0) is the initial amount.k is the decay rate, as a decimal.In this problem, the half-life is 6 hours, which means that [tex]A(6) = 0.5A(0)[/tex], and this is used to find k.
[tex]A(t) = A(0)e^{-kt}[/tex]
[tex]0.5A(0) = A(0)e^{-6k}[/tex]
[tex]e^{-6k} = 0.5[/tex]
[tex]\ln{e^{-6k}} = \ln{0.5}[/tex]
[tex]-6k = \ln{0.5}[/tex]
[tex]k = -\frac{\ln{0.5}}{6}[/tex]
[tex]k = 0.11552453009[/tex]
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[tex]A(t) = A(0)e^{-0.11552453009t}[/tex]
2.5 ml injection, hence [tex]A(0) = 2.5[/tex]
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[tex]A(t) = 2.5e^{-0.11552453009t}[/tex]
[tex]A(30) = 2.5e^{-0.11552453009(30)}[/tex]
[tex]A(30) = 0.08[/tex]
0.08 ml of the will be in the body in 30 hours.
A similar problem is given at https://brainly.com/question/16984805
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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[tex] \huge{ \mathfrak{ Answer }}[/tex]
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what is the distance between (7, 8) and (-8, 0) on the coordinate grid?
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Answer: Are you asking for slope?
Step-by-step explanation:
8-0 = 8
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Use the system of two linear equations to answer the question. 2x+5y=4 y=2x+8 Which of the following statements is correct about the solution of the system? A The x-coordinate is 2. B The x-coordinate is -3. C The y-coordinate is -3. D The y-coordinate is 5.
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Answer:
13/50
Step-by-step explanation:
The probability is 13/50.
Answer:
9/25 on odyssey
Step-by-step explanation:
Cate and Elena were playing a card game. The stack of cards in the middle had 27 cards in it to begin with.
Cate added 7 cards to the stack. Elena then took 10 cards from the stack. Finally, Cate took 6 cards from
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There were
cards left in the stack.
Answers
Answer:
18
Step-by-step explanation:
You would have 27 then add 7 subtract 10 and subtract 6 to get 18.
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Answer:
The answer is D, sqrt(41)in.
Step-by-step explanation:
The question is asking about the hypotenuse L. You can get that by using the Pythagorean Theorem( a^2+B^2=C^2). You can get the bottom length of the triangle by dividing 8 by 2, because the triangle is made from the top point of the pyramid. You can there do 5^2+4^2, which is 41. You then need to take the square root of that, or [tex]\sqrt{41}[/tex].
Answer:
Hello! Your answer would be, D) [tex]\sqrt{41} in.[/tex]
Step-by-step explanation:
Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥
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Answer: wow
Step-by-step explanation:
ax+b=cx+d; a is not equal to c
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Answer:
[tex]x = \frac{d - b}{a - c} [/tex]