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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Find the measure of the exterior angle.
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[tex] \huge{ \mathfrak{ Answer }}[/tex]
Exterior angle = sum of opposite interior angles,
so,
[tex] \boxed{(t + 10 )+( t )= 180-(t + 20)}[/tex]
[tex]2t + 10 = 180 - t - 20[/tex][tex]2t + t = 160 - 10[/tex][tex]3t = 150[/tex][tex]t = 50[/tex]value of t = 50°
[tex] \boxed{Exterior \: \: angle = 180 -(t + 20)}[/tex]
[tex]180 - (50 + 20)[/tex][tex]180 - 70[/tex][tex]110°[/tex]measure of exterior angle is 110°
[tex] \normalsize{ \#TeeNForeveR}[/tex]
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.
Answers
2x + 10x + 40 = 4
12x = -36
x= -3
So it’s B
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]
Hence:
[tex]A(t) = A(0)e^{-0.11552453009t}[/tex]
2.5 ml injection, hence [tex]A(0) = 2.5[/tex]
After 30 hours, we have to find A(30), hence:
[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
H(x)= ⎩ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎧ 8+6x x+4 10 4x−3 , , , x<−7 −7≤x<−5 x≥−5
Answers
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]
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
8 (x + 4) = 62.4 what does x represent
Answers
Answer:
8 (3.8 + 4)
Step-by-step explanation:
x=3.8
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
Answers
Answer:
841 kmh-1
Step-by-step explanation:
speed = distance / time
time = 810 x 24 = 19440
16,340,000 km / 19440 = 840.535
(WILL GIVE BRAINLIEST)What is the total surface area of a rectangular block whose
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Cate and Elena were playing a card game. The stack of cards in the middle had 27 cards in it to begin with.
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Step-by-step explanation:
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Answers
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1750
Step-by-step explanation:
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Answer:
1750
Step-by-step explanation:
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Answer:
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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
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ax+b=cx+d; a is not equal to c
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Answer:
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What is the equation for -19 = b - 6
Answers
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]