Given a 45-45-90 triangle with the hypotenuse measuring 5√7 feet. Which is the exact measure of each leg?
Answers
Answer:
Step-by-step explanation:
First, we know a 45-45-90 triangle has two legs that are the same because two angles are the same, so we can say that:
[tex]$a^2+b^2=c^2=a^2+a^2=c^2$[/tex]
Remember that [tex]a^2[/tex] and [tex]a^2[/tex] are the legs, which are the same length, so we can do this. Now, we solve the equation.
[tex]a^2+a^2=c^2\\2a^2=5\sqrt{7}\\2a=(5\sqrt{7})^2\\2a=5\\a=\frac{5}{2}[/tex]
HOPE THIS HELPS :D
The Pythagoras is the sum of the square of two sides equal to the square of the longest side. Then the exact measure of each leg is 9.4 ft.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
A right-angle 45-45-90 triangle with the hypotenuse measuring 5√7 feet.
We know that if two angles of any triangle are the same then their opposite sides are also the same.
Let each side length of x ft. Then by the Pythagoras theorem. we have
[tex]\begin{aligned} x^2 + x^2 &= (5\sqrt7)^2\\\\2x^2 &= 25 \times 7\\\\x^2 &= \dfrac{175}{2}\\\\x^2 &= 87.5\\\\x &= 9.354 \approx 9.4 \ \rm ft \end{aligned}[/tex]
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
Related Questions
Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment
Answers
Answer:
See belowStep-by-step explanation:
Missing reasons are:
2. Vertical angles theorem3. Definition of vertical angles4. Third angle theorem5. Given6. Given7. Definition of bisect8. SSSAnswer:
2. Reason: Vertical angles theorem
3. Reason: Definition of vertical angles
4. Reason: Third angle theorem
5. Reason: Given
6. Reason: Given
7. Reason: Definition of bisect
8. Reason: SSS
Hoped this helped.
What is the least common denominator of 11/12 5/6 1/5
Answers
Answer:
11/12 = 132
5/6 = 30
1/5 = 5
All of the numbers after the equal sign, are LCDs of the fraction.
Have a great day friend! :D
Answer:
60
Step-by-step explanation:
Solve this for 50 points
Answers
3< -3x
-3x>3
3x> -3
X> -1
- BRAINLIEST answerer
what is this question 9 + x to the power of 10
Answers
Answer:
ok im not sure but here is what i think the answer is
Step-by-step explanation:
answer 60466185
please help and show your work please
Answers
Answer:
[tex]m=-8[/tex]
Step-by-step explanation:
[tex]2m+6=-10\\2m=-16\\m=-8[/tex]
Invisible Steps:
Subtract 6 on each side:
[tex]2m+6-6=2m[/tex]
[tex]-10-6=-16[/tex]
Divide by 2 on each side:
[tex]2m[/tex] ÷ [tex]2=m[/tex]
[tex]-16[/tex] ÷ [tex]2=-8[/tex]
What is the volume of a sphere with a surface area of 64 pi cm^2?
16 pi cm^3
21 1/3 pi cm^3
48pi cm^3
85 1/3 pi cm^3
Answers
Answer:
Hello, have a great day.
Answer:
85 1/3 pi cm3 I hope this helps.
785 to the nearest 10
Answers
If the last number is above 4 you round up :)
7⋅5+(4^2−2^3)÷4 answers: 49 41 34 9
Answers
On evaluating the given expression 7.5 + (4² − 2³) ÷ 4, we get 9.5 as the result.
What is Expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. For example -
5x + 7 = 6
7r + π = 4
Given is the following expression -
7.5 + (4² − 2³) ÷ 4
The given expression is -
7.5 + (4² − 2³) ÷ 4
Using the BODMAS rule, we can solve -
7.5 + (16 - 8) ÷ 4
7.5 + 8 ÷ 4
7.5 + 2
9.5
Therefore, on evaluating the given expression 7.5 + (4² − 2³) ÷ 4, we get 9.5 as the result.
To solve more questions on evaluating expressions, visit the link below-
https://brainly.com/question/13589173
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Han and Priya were making a kite. Han cut out a piece of fabric so
that there were 2 short sides of the same length on top and
2 long sides of the same length on the bottom. Priya cut 2 pieces
of wood to go across the diagonals of the kite. They attached the
wood like this:
Han asked Priya to measure the angle to make sure the pieces of
wood were perpendicular. Priya said, "If we were careful about
the lengths of the sides of the fabric, we don't need to measure
the angle. It has to be a right angle."
Complete Priya's explanation to Han.
Answers
A kite is a quadrilateral which has two equal adjacent sides. Therefore measuring the lengths accurately would make the pieces of wood perpendicular. Since the diagonals of a kite are at right angle to each other.
Quadrilaterals are shapes which has four straight sides. Examples are; square, trapezium, kite, rectangle etc.
A kite is a shape which has adjacent sides to have equal lengths. It has two diagonals, and one line of symmetry.
The lengths of the sides of the fabric being exact imply that the pieces of wood would be perpendicular as suggested by Priya when fixed appropriately to the piece of fabric. This is because the diagonals of a kite are always perpendicular. Thus measuring the angles as suggested by Han is not necessary.
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The 2 pieces of wood intersect at right angles if the length of sides of the fabric are measured correctly.
Since Priya said to Han that "If we were careful about the lengths of the sides of the fabric, we don't need to measure the angle. It has to be a right angle."
Priya used the properties of a kite.
Since from the properties of a kite, two pairs of sides are equal. Also, since thes two pairs of sides are equal, the diagonals from the vertices of the kite intersect at right-angles.
So, as Priya said to Han, the angle made by the 2 pieces of wood have to be right angles if the sides are measured correctly, since the diagonals intersect at right angles.
So, the 2 pieces of wood intersect at right angles if the length of sides of the fabric are measured correctly.
Learn more about kites here:
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if angle a is 10 degrees and angle b is 35 degrees what is angle AEB?
Answers
Answer:
135
Step-by-step explanation:
sum of interior angles of a triangle is 180
so
180-35-10
135
Which division problem is modeled
Answers
Answer:
The first one
Step-by-step explanation:
if you count, there are five full rows, and two extra, so 52/100. then you count the sections that the colored area is: 4. then count how many squares are in each colored section: 13.
Find x-intercept and y - intercepts of y = 6x – 1
Answers
Answer:
Look at photo
Step-by-step explanation:
$75 is shared between Amy and Mary in the ratio 2:3. Amy's share would be ?
Answers
amys share would be 45:30 so amys is 45 and marys 30
how would you answer 8 (4 + 2) im confused please help
Answers
Find the x - and y -intercepts of the graph of the linear equation -4x+8y=-16 .
Answers
Answer:
x: (4, 0)y: (0, -2)Step-by-step explanation:
To find the x-intercept, set y=0 and solve for x. That will mean dividing by the coefficient of x:
-4x +0 = -16
x = -16/-4 = 4 . . . . the x-intercept
__
To find the y-intercept, set x=0 and solve for y. That will mean dividing by the coefficient of y:
0 +8y = -16
y = -16/8 = -2 . . . . the y-intercept
__
The x- and y-intercepts are (4, 0) and (0, -2), respectively.
_____
Additional comment
The standard form equation of a line, ax+by=c, is especially nice for finding the intercepts, as they are always (c/a, 0) and (0, c/b). Once you see this, you can do a question like this in your head.
5. INDIRECT MEASUREMENT A lighthouse casts a 128-foot shadow. A nearby lamppost that
measures 5.25 feet casts an 8-foot shadow.
Write a proportion that can be used to determine the height of the lighthouse. What is the height of the lighthouse?
MGSE9-12.G.SRT 5
b. 5.25
a. 1285.25; 195 ft
X 128
8 ; 84 ft
128
c. 5.25" 8 ; 672 ft
X 128
d. 3 5.25; 195 ft
Answers
Using proportions, it is found that the height of the lighthouse is of 84 ft.
This question is solved by proportions, using a rule of three.For a height of 5.25 feet, the shadow is of 8 feet. What is the height when the shadow is of 128 feet?The rule of three is:
5.25 feet - 8 feet
x feet - 128 feet
Applying cross multiplication:
[tex]8x = 5.25(128)[/tex]
[tex]x = \frac{5.25(128)}{8}[/tex]
[tex]x = 84[/tex]
The height of the lighthouse is of 84 ft.
A similar problem, which also uses proportions, is given at https://brainly.com/question/24372153
CAN SOMEONE HELP ME PLEASE ASAP!
Answers
Answer:
2 and 3
Step-by-step explanation:
20/12 = 1.6666666
15/9 = 1.6666666
Can someone please help me with this? I'm so lost :(((
An octahedral die is thrown. The faces are numbered 1 to 8. What is the probability that the number is thrown is:
An even number:
A multiple of 3:
A multiple of 4:
No a multiple of 4:
Less than 4:
Answers
Answer:
An even number: 1/2, A multiple of 3: 1/4, A multiple of 4: 1/4, Not a multiple of 4: 3/4, Less then 4: 3/8
Step-by-step explanation:
Since there are eight faces all you have to do is take the number that answers the question and put it over eight.
x=1
y=−3x+10
What is the answer?
Answers
Answer:
7
Step-by-step explanation:
as x is 1
3x added 10 -3*1 add 10 -3 add 10 = 7 as it is is sign - and add the ans will be 7
Select the correct answer from each drop-down menu.
What is the distance and midpoint between points D and E on the number line?
Invention of the distance options
6.2, 2.6, 4.2, 0.6
Midpoint options 0.6, 0.3, 1.2, and 0.1
Answers
Answer:
4.2
0.6
Step-by-step explanation:
The distance and midpoint between points D and E on the number line 4.2 and 0.6
What does a midpoint mean?Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment.
We need to find the distance and midpoint between points D and E on the number line.
Invention of the distance options; 6.2, 2.6, 4.2, 0.6
Midpoint options 0.6, 0.3, 1.2, and 0.1
Here the distance between points D and E on the number line
= 4.2
Thus, the midpoint between points D and E on the number line = 0.6
Hence, the distance and midpoint between points D and E on the number line 4.2 and 0.6
Learn more about midpoint here;
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What are the coordinates of the point on the line 6x-5y=8 that is closest to the origin.
Answers
Answer:
(0,-1.6) and (1.3,0)
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE ASAP!
Answers
Answer:
880 feet per hour.
Step-by-step explanation:
26 inches to foot = 2.2
9 seconds to hour = 0.0025
2.2/0.0025 = 880 feet per hour.
If you need any more help please let me know and i will make a video for you.
Pls hurry Accurate Answer= Brainlist
Answers
Step-by-step explanation:
it would have to be practically the same equation.
because only then do you end up with 1 equation for 2 variables (the second equation does not create any additional information).
the only one being exactly the same as the original equation is the fourth option
y = 2(x + 5)
because that is
y = 2x + 10
Use intercepts to graph the equation -x+5y=5
Answers
Sarah fenced in her backyard. The perimeter of the yard is 18 feet, and the width of the yard is 4 feet. Use the perimeter formula to find the length of the rectangular yard in inches: P = 2L + 2W.
Answers
Answer:
42
Step-by-step explanation:
Find the length of side x to the nearest tenth.
х
600
30°
17
Answers
Answer:
5.3
Step-by-step explanation:
Stare at the triangle for a bit. And try to add another one sharing the unmarked angle. You end up with an equilateral triangle. It means [tex]\sqrt7[/tex] is half the hypotenuse, At this point,
HELP?!?!!! pleaseeee
Answers
Answer:
option 1. 3 juniors and 5 seniors
option 2. 4 juniors and 2 seniors
Step-by-step explanation:
3 + 5 = 8
8 is less than 9 and more than 4
4 + 2 = 6
6 is less than 9 and more than 4
Solve the word problems below: When I woke up today morning, the temperature was 24 o C. Every two hours, it gets warmer by 1o C. Write an equation to represent this linear relationship.
Answers
Answer:
n + 23
24,25,26,27,28,29,30,...
NEED ASAP PLEASE SHOW WORK! Follow the directions and solve this sequence for the first 10 terms:-3,-12,-48,-192
A.
CR: 4
10th term: -262,144
B.
CR:-4
10th term: 786,432
C.
CR:4
10th term: - 786,4323
Answers
Answer: B (786,432)
Geometric sequence follows by multiplying by 4.
-3
-12
-48
-192
-768
-3072
-12288
-49152
-196,608
-786,432
r(2)=120 and r(4)=378 divide the difference in the r(x) values by the difference in the x-value
Answers
Answer:
im not sure ask siri
Step-by-step explanation:
she knows everything