A right triangle with the leg lengths of 7ft and 10ft. Using this information, find the length of the hypotenuse. Then round your answer to the nearest hundredth.
Answers
Answer:
12.21
Step-by-step explanation:
Explanation:
This is a right triangle, so the Pythagorean Theorem applies.
The Pythagorean Theorem states that the sum of the squared legs of a triangle is equal to the squared hypotenuse.
The legs of a triangle are the sides that form the right angle.
The hypotenuse of a triangle is the longest side.
Formula/solve:
[tex]a^2+b^2=c^2[/tex]
[tex]a,b-legs[/tex]
[tex]c-hypotenuse[/tex]
Here, I am solving for the hypotenuse.
[tex]7^2+10^2=c^2[/tex]
[tex]49+100=c^2[/tex]
[tex]149=c^2[/tex]
Conclude:
The last step is the cancel out c² by finding the square root of 149.
149 is not a perfect square, so I must round the square root to the nearest hundredth.
[tex]12.2065556157[/tex] ≈ [tex]12.21[/tex]
I, therefore, believe the length of the hypotenuse is 12.21 feet.
Related Questions
Rotate the triangle 90° anti-clockwise about the cross.
Answers
Answer:
see below
Step-by-step explanation:
-90 degrees, the rule is (x, y) --------> (-y, x)
The leftmost point is at (1,1) so it will be at (-1, 1)
The top right point is at (4,1) so it will be at (-1,4)
The bottom right point is at (4,-1) so it will be at (1,4)
Please help my teacher will kill me
Answers
2nd image: since those angels are parrelled they’re the same number, so you just need to solve the equation.
6x+2=56
6x=54
6x/6 = 54/6
x=9
hope that helps!
Which is the graph of linear inequality 2y > x-2?
Answers
Answer:
top line third option with shaded above.
Step-by-step explanation:
it's the third option because it's a
dotted line because it's not included (since it doesn't say greater than or equal to). Also, greater than is shaded above the line.
The third graph is the correct representation of the given inequality.
What are linear inequalities?Linear inequalities are defined as a mathematical expression that compares two expressions using the inequality symbol.
The given inequality is 2y > x-2.
i.e y > (x-2)/2
Since the inequality sign does not contain an equals sign, the line is drawn as a dashed line.
The upper region satisfies the inequality.
Hence, the upper shaded portion with the dashed line is the correct graph for the given inequality.
To learn more about linear inequality, use the link given below:
https://brainly.com/question/11897796
#SPJ2
According to exponent rules, when we multiply two power with the same base we _______ the exponents. Example: c^6⋅ c^4
Answers
Answer:
Step-by-step explanation:
According to exponent rules, when we multiply two power with the same base we ADD the exponents.
[tex]c^{6}*c^{4} = c^{6+4} = c^{10}[/tex]
Select the correct answer. Which statement describes ? A. It is an irrational number. B. It is a rational number that has a repeating decimal expansion. C. It is a rational number that has a terminating decimal expansion. D. It is not a rational number because it is negative.
Answers
Answer:
the answer is c okay g;)
Step-by-step explanation:
hope this helps
A kite is staked to the ground and blowing in the wind. It currently has a string let out to a length of 45 meters. It has an altitude of 38 feet. To the nearest tenth of a degree, find the angle of elevation. ______°
Answers
Answer:
40.2
Step-by-step explanation:
To better analyze this problem, we can first draw a picture. Looking at the one attached, we can see that the stake is represented by the point in the bottom right of the screen, and the kite is 45 meters away from it, representing the 45. Then, the height is 38, and this is directly above the 45 meters away from the stake.
This forms a right triangle, and we can use sohcahtoa to help use. As we don't have the hypotenuse, we can use tan. Tan(θ) = opposite/adjacent, or 38/45. Thus, arctan(38/45) = θ, and plugging that into a calculator, we get 40.2 as our answer
140 divided by 8960 please I need to know.
Answers
The value will be 64 when the number 8960 is divided by 140.
What is division?A procedure of dividing anything into equal halves is called division. It is one of the four fundamental operations in math. Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given numbers are 8960 and 140. To calculate the quotient divide the number 8960 by 140.
The given number can be divided as below:-
140 ) 8960 ( 64
-840
___________
560
-560
___________
000
Therefore, the value will be 64 when the number 8960 is divided by 140.
To know more about division follow
https://brainly.com/question/25289437
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Can someone please help me with this. ANYONE!
Answers
Answer:
Step-by-step explanation:
1 OF 3OR5
O is the centre of the circle, EF is a tangent, angle BCE = 28°, angle ACD = 31°
Line AB = line AC
Write down the size of
a) angle BAC
b) angle ABC
c) angle ADC
d) angle COB
Answers
Answer
a. 28˚
b. 76˚
c. 104˚
d. 56˚
Step-by-step explanation
Given,
∠BCE=28° ∠ACD=31° & line AB=AC .
According To the Question,
a. the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment.(Alternate Segment Theorem) Thus, ∠BAC=28°b. We Know The Sum Of All Angles in a triangle is 180˚, 180°-∠CAB(28°)=152° and ΔABC is an isosceles triangle, So 152°/2=76˚
thus , ∠ABC=76° .
c. We know the Sum of all angles in a triangle is 180° and opposite angles in a cyclic quadrilateral(ABCD) add up to 180˚,Thus, ∠ACD + ∠ACB = 31° + 76° ⇔ 107°
Now, ∠DCB + ∠DAB = 180°(Cyclic Quadrilateral opposite angle)
∠DAB = 180° - 107° ⇔ 73°
& We Know, ∠DAC+∠CAB=∠DAB ⇔ ∠DAC = 73° - 28° ⇔ 45°
Now, In Triangle ADC Sum of angles in a triangle is 180°
∠ADC = 180° - (31° + 45°) ⇔ 104˚
d. ∠COB = 28°×2 ⇔ 56˚ , because With the Same Arc(CB) The Angle at circumference are half of the angle at the centre
For Diagram, Please Find in Attachment
Quadrilateral MNQP has vertices as shown. If the figure is translated 4 units left and 3 units down, what are the coordinates of N'? *
Answers
Explanation:
Point N is at (1,3)
We apply the rule [tex](x,y) \to (x-4,y-3)[/tex] which will translate the point 4 units to the left and 3 units down.
The old x coordinate x = 1 becomes x-4 = 1-4 = -3
The old y coordinate y = 3 becomes y-3 = 3-3 = 0
The point N(1,3) moves to N ' (-3, 0)
Help please I’ll give you the brainliest I really got to get this done
Answers
Answer:
56
Step-by-step explanation:
Please, help. I need to prove this.
Answers
Answer:
2. angle BAD is equal to angle DCB?
3. angle CBA is equal to angle ADC, then
4.triangle BEA is equal to triangle DEC and triangle BEC is equal to DEA
Step-by-step explanation:
since line BCD is equal to line DAB
AND line CBA is equal to line ADC
and because BEA triangle equals DEC, angles BEA and DEC are congruent
and angle BEC is equal to DEA
and yeah your right, it would be supplementary.
What is the slope-intercept form of the equation representing this function?
Answers
Answer:
y = 3x - 7
Step-by-step explanation:
The line rises 3 in y for every run of 1 in x
slope = 3
The y-intercept
is -7
Therefor
y = 3x - 7
plzz helpppp.........
Answers
Answer:
B) Unequal
Step-by-step explanation:
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p follow po at pa rate at heart
The product of two rational numbers is 9⁄7 and one of them is 15⁄14. Then the other rational number is
Answers
Answer:
The other rational number in the operation given is:
6/5Step-by-step explanation:
To obtain the number in the operation given, we're gonna represent the operation:
r * 15/14 = 9/7Where:
r = the other rational number.Now we are going to solve r to identify its value in numbers:
r * 15/14 = 9/7[tex]r = \frac{\frac{9}{7} }{\frac{15}{14}}[/tex] (We pass a number that is multiplying to the left of the equal, to divide to the right of the equal symbol)[tex]r = \frac{6}{5}[/tex]As you can see, when we operate, the result is 6/5, and we can prove this multiplying as we had in the original equation, replacing r by 6/5:
r * 15/14 = 9/76/5 * 15/14 = 9/79/7 = 9/7In this form, we know the result is correct.
I will give brainliest if you add details:
A recent study asked the same 15 students their favorite subject at three different times: in elementary school, in middle school, and when getting ready to graduate from high school.
What percentage of students said that Math was their favorite subject in elementary school?
What is the percent of change for History being the favorite subject between elementary school and graduating from high school?
Answers
Answer:
53 1/3% for the first answer, and 33 1/3% increase for the second answer
Step-by-step explanation:
Ok, lets start up witht eh first question.
We need to find the percentage of studens that find math the be their favorite subject in elementary school.
We know that there are 15 kids in total.
We specificly see that 8 of those kids like math the most.
To find percentage, divide 8 by 15.
Using a calculator you should find 53 1/3% of the students found math to be their favorite subject.
Next we need to find the percentag eof change that history is over elementary school to high school.
This might sound confusing, but this is basically just a change of 3 students to 4 students.
To find percentage, just divide 3 by 4:
This gets you 33 1/3%
Hope this helps!
The product of a number, x, and 18 is 113.4.
Which equation and value of x represent this relationship
Answers
So 95.4+18=113.4
Hope that was useful and best of wishes!!
Answer:
Step-by-step explanation:
x * 18 = 113.4
x = 6.3
the quotient of 4 divided by 7 is a decimal number. how many digits in the quotient are overlined?
Answers
Answer:
6 digits.
Step-by-step explanation:
The repeating numbers after the decimal is 571428.
Jason and Donny painted a house and received $1.200. To complete the painting job Jason painted 4 hours 25 minutes and Donny spent 2 hours and 15 minutes. If they split the $1.200 in proportion to the amount of time each spent painting, how much did Donny receive?
Answers
Answer:
$405
Step-by-step explanation:
Total hours = 4 hrs 25 min + 2 hrs 15 min = 6 hrs 40 min = 400 min
4 hrs 25 min = 265 minutes
2 hrs 15 min = 135 min
Donny's share = [tex]\frac{135}{400} of 1200[/tex]
[tex]=\frac{135}{400}*1200=135*3\\\\= 405[/tex]
An article bought for $125 was sold %175. The percentage profit
Answers
Answer:
40% profit
Step-by-step explanation:
There is a profit of $50.
If you were to find the percentage, you would divide 50 by 125. This would give you 0.4
A school bus is transporting athletes home from an athletics meeting. Of these athletes, 15% took part in hurdles, 20% took part in the long jump event, 35% took part in the relay races, 30% ran the 100m sprint and 25% took part in the high jump event.
Explain how this is possible.
Answers
Because some of the athletes participated in more than one event.
Determinar el valor de las siguientes progresiones:
1)4, 12, 36, 108,…
2)4, 20, 100, 500,…
3)5, 10, 20, 40,…
Answers
Answer:
Step-by-step explanation:
1) . .324, 972, 2916
2) ...2500, 12500, 62500
3). . 80, 160, 320
Please help if you know how to solve it
Thank you!
Answers
Answer:
opsihsjijjakih
Step-by-step explanation:
jiompzjksuik
A petrol can is a rectangular prism with base measurements 15 cm by 30 cm. If the can has capacity 18 liters, find its height.
Answers
Answer:
40
Step-by-step explanation:
The first step is to calculate the base area of the prism
= 15×30
= 450
The volume is then calculated as follows
= 450×h
= 450h
The capacity is 18 liters
= 18×1000
= 18,000
Therefore the height of the rectangular prism can be calculated as follows
450h= 18,000
h= 18,000/450
= 40
Hence the height is 40 cm
If the area of a circle is 36 pi, what is it's circumference?
Answers
Answer:
C = 12π or 37.7
Step-by-step explanation:
A = πr²
36π = πr²
π's get divided out and you are left with:
r² = 36
if you take the square root of 'r' it will equal the square root of 36, which is 6
C = 2πr
C = 2π(6)
C = 12π or 37.7
Answer
the answer is 12*sqrt pi
Pls answer both Pls pls
Answers
Answer:
bjkfkvdvdejij
Step-by-step explanation:
22333444 ijdcijsivjdivdvndk snciscicicnlvjavjadvj
If you get paid 30.00 per hour and you worked 8.5 hours how much do you get paid
Answers
$30.00 x 8.5 =$255
Answer:
About 255
Step-by-step explanation:
$30 x 8.5= $225
How many solutions exist for the system of equations in the graph?
Answers
Answer:
Two solutions
Step-by-step explanation:
The number of points of intersections represents the number of solutions to the system of equations. Since the parabola intersects the circle at two points, there are two solutions to the circle.
Furthermore, these two points of intersection are exactly the solutions to the system of equations. Finding the coordinates of the points of intersection will give you the solutions to the system of equations.
if a number is divided by three and then two is added,the answer is twenty-nine.what is the number
Answers
Answer:
81
Step-by-step explanation:
the answer is 81, just out this in the solution
Answer:
81
Step-by-step explanation:
29-2=27
27*3=81
if we divide 81 by 3 we get 27 and 27 plus 2 is 29 so it is 81
in a class of 37 students,the number of students who like martial art only is double than the number of students who like athletics only .if students like both 4 like none of the games . find how many students like
Answers
Answer:
number of students who like Athletics only = x = 10 students
number of students who like marshal arts only = 2x = 20 students
Step-by-step explanation:
In a class of 37 students, the number of students who like marshal arts only is
double than the number of students who like athletics only. If 3 students like both
and 4 like none of the games, find out how many students like:
i. Marshal arts
ii. Athletics
Total students in the class = 37
number of students who like Athletics only = x
number of students who like marshal arts only = 2x
Number of students who like both = 3
Number of students who like none = 4
Total = athletics + marshal art + both + none
37 = x + 2x + 3 + 4
37 = 3x + 7
37 - 7 = 3x
30 = 3x
x = 30/3
x = 10
number of students who like Athletics only = x = 10 students
number of students who like marshal arts only = 2x
= 2(10)
= 20 students
