The length of the hypotenuse in a right triangle is 12 inches.
What is the Pythagoras theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
Given that, the lengths of the legs of a right triangle are 8 inches and 9 inches.
Let the length of the hypotenuse be x.
Here, x²=8²+9²
x²=64+81
x²=145
x=√145
x=12.04
x≈12 inches
Therefore, the length of the hypotenuse is 12 inches.
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For 1a-1b: At a book sale, all books cost less than $5
(1a) What is the highest price that a book could be?
Answer:
$4.99
Step-by-step explanation:
It is the largest amount under $5.
The current in a certain resistor is 0.50A when it is connected to a potential difference of 110V. If the operating potential is 130V, the current in the same resistor is
Answer:
0.59 A
Step-by-step explanation:
The current in a certain resistor is 0.50 A
The potential difference is 110v
The operating potential is 130v
The current in the same resistor can be calculated as follows
= 110/0.50
= 220
= 130/220
= 0.59
Hence the current is 0.59 A
In the morning, the temperature was – 10°C. By the afternoon, it had risen to – 2°C. What was the change in temperature from the morning to the afternoon?
Answer:
8 °C
Step-by-step explanation:
Step 1: Given data
Initial temperature value (T1): -10 °C
Final temperature value (T2): -2 °C
Step 2: Calculate the change in temperature from the morning to the afternoon
To calculate the change in the temperature, we have to perform the subtraction T2 - T1.
ΔT = T2 - T1 = (-2 °C) - (-10 °C) = -2 °C + 10 °C = 8 °C
The temperature change is positive, meaning that the temperature increased.
show all work. Write the equation of the line in slope intercept form (-5, -5) & (-1, 3)
Answer:
y = 2x + 5
Step-by-step explanation:
(-5 , -5) & (-1 , 3)
Slope =[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]=\frac{3-[-5]}{-1-[-5]}\\\\=\frac{3+5}{-1+5}\\\\=\frac{8}{4}\\\\= 2[/tex]
m = 2 & (-5 , -5)
Y -y1 = m(x -x1)
y - [-5] = 2(x - [-5] )
y + 5 = 2 (x + 5)
y+ 5 = 2x + 2*5
y = 2x + 10 - 5
y = 2x + 5
YOULL GET BRAINLEST JUST ANSWER THIS CORRECTLY!!!
Answer:
area of circle=π[tex]r^{2}[/tex]
452.1=3.14[tex]r^{2}[/tex]
452.1/3.14=[tex]r^{2}[/tex]
143.98=[tex]r^{2}[/tex]
[tex]\sqrt{143.98}[/tex]=r
11.99=r
now ,
diameter=2r
=2*11.99
=23.98
Step-by-step explanation:
If the length of qr is 8 cm and the length of qs is 12 cm, what is the length of rs?
Answer:
8.94
Step-by-step explanation:
Given that
qs = 12cm
qr = 8cm
Required
rs
Using the pythagoras theorem
Let us assume qs is the hypotenuse side
qs² = qr² + rs²
12² = 8² + rs²
144 = 64 +rs²
rs² = 144 - 64
rs² = 80
rs = √80
rs = 8.94
Hence the value of rs is 8.94
Which theorem us shown by the diagram above?
Answer:
it is option C
Step-by-step explanation:
using Pythagoras theorem
hyp^2=adj^2+opp^2
a^2+b^2=c^2
I need a answer for this
Answer:
6
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 8^2 = 10^2
a^2 +64=100
a^2 = 100-64
a^2 = 36
Take the square root of each side
sqrt(a^2) = sqrt(36)
a = 6
5x/6-x/3+1 =8/9
Find the LCD that would eliminate the fractions
Answer:
answer is in the picture
John deposited $2,100 into his bank account. The bank will pay 1.5% interest compounded annually on his account. He plans on leaving his money in there with no additional deposit for 5 years. Which formula would you use to determine how much money he has after 5 years?
Write a unit rate for the situation. 1080 miles on 15 gallons
Miles per gallon
Answer:
72 miles / gallon
Step-by-step explanation:
1080/15 = x/1
1080 / 15 = 72
72 miles on 1 gallon
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
y = 2x + 1 y = 3x - 1
Answer:
i think the answer is B
Step-by-step explanation:
5=6-1
5=5
just need to get the equations equal together then solve for x which will give u the x-coordinate of intersection then u need to put it in which equation u want to find the y-coordinate of intersection point :
2x + 1 = 3x - 1
Add both sides 1
2x + 1 + 1 = 3x - 1 + 1
2x + 2 = 3x
Subtract both sides 2x
2x - 2x + 2 = 3x - 2x
x = 2
( This is the x-coordinate of intersection point )
_________________________________
Now to find the y-coordinate of the intersection point we have to put the value of x we found in of the equations :
y = 2x + 1
y = 2(2) + 1
y = 4 + 1
y = 5
_________________________________
Thus :
intersection point = ( 2 , 5 )
So the correct answer is option B .
I NEED HELP PLEASE IT WOULD REALLY MEAN AOT !!!!
NO ZOOMS OR LINKS!!!!
Answer:
20.78
Step-by-step explanation:
sin a = perpendicular/ hypotenuse
where a is the base angle
here a = 60
sin 60 = 18/ x
since,
[tex] \sin(60) = \ \frac{ \sqrt{3} }{2}[/tex]
[tex] \frac{ \sqrt{3} }{2} = \frac{18}{x} [/tex]
√3 x = 36
x = 36/ √3
x = 36/ 1.732
x = 20.78
these triangles are congruent by which triangle congruence postulate ?
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
First, draw the diagram.
We have the variable, l.
Then, we have:
tan angle=opposite/adjacent
So plug it in, it will be:
tan 60=l/50m
So then l=tan60*50m.
tan60=1.732
l=1.732*50m
and so out answer ends up being 86.6m.
Note: I don't know if this is the best way but...that's how I did it.
If y =-3, than 4+y/4y=
Answer:
6.25
Step-by-step explanation:
4+3 ÷ 4×3 = 6.25
or
25/4
or
6 1/4
Find the area and perimeter please solve with explanation
Perimeter of the yellow shape:
27m
because
6.3+7.2+2.8+4.9=21.2
then to find the 2 other sides you need to
7.2-4.9=2.3
and
6.3-2.8=3.5
I NEED THIS ANSWER After simplifying, which expressions are equivalent? Select three options.
(3.4a – 1.7b) + (2.5a – 3.9b)
(2.5a + 1.6b) + (3.4a + 4b)
(–3.9b + a) + (–1.7b + 4.9a)
–0.4b + (6b – 5.9a)
5.9a – 5.6b
Answer:
1, 3, 5 are correct
Step-by-step explanation:
1. (3.4a – 1.7b) + (2.5a – 3.9b) = 5.9a - 5.6b
2. (2.5a + 1.6b) + (3.4a + 4b) = 5.9a + 5.6b
3. (–3.9b + a) + (–1.7b + 4.9a) = 5.9a - 5.6b
4. –0.4b + (6b – 5.9a) = 5.9b - 5.6a
5. 5.9a – 5.6b = 5.9a – 5.6b
On selling an article for Rs 2300, a shopkeeper made a profit of 15 %. find the cost price of the article.
Let the cost price of article be x :
x + x × ( 15/100 ) = 2300
x + x × ( 5 × 3 / 5 × 20 ) = 2300
x + x × ( 3 / 20 ) = 2300
x + ( 3 × x / 20 ) = 2300
x + ( 3x / 20 ) = 2300
( 20x / 20 ) + ( 3x / 20 ) = 2300
20x + 3x / 20 = 2300
23x / 20 = 2300
Multiply both sides by 20
( 23x / 20 ) × 20 = 2300 × 20
23x = 2300 × 20
23x = 23 × 2000
Divide both sides 23
23x ÷ 23 = ( 23 × 2000 ) ÷ 23
x = Rs 2000
9. For the function defined by the equation y = 2x^2 -10, which of the following represents the
output when the input is -3?
(1) 6
(3) -10
(2) 8
(4) -28
Answer:
8
Step-by-step explanation:
y = 2x^2 -10
Let x = -3
y = 2( -3)^2 -10
y = 2 (9) -10
y = 18-10
y = 8
mary walked 2.1 hours along part of the trans canada trail at a speed of 3.6 km. what distance did mary travel
Answer:
7.66 km
Step-by-step explanation:
2.1x3.6=
2.1x6=1.26
2.1x3=6.40
1.26+6.40=7.66
THIS IS URGENT PLEASE GAW DAMMIT ;-;
Using the graph, determine the coordinates of the x-intercepts of the parabola.
Answer:
i believe the answer would be -1 and 6
Answer:
Coordinates are (5,0) & (7,0)
Just refer to the point where the graph intersects the x-axis I think.
Solve using the quadratic formula. Approximate answers to the nearest tenth.
Answer:
x=2
Step-by-step explanation:
X^2+5x-14=0
x^2-2x+7x-14=0
7x-14=0
x=2
I need a answer for this
Answer:
148 i think i’m not sure
Step-by-step explanation:
Answer:
Hello! answer: b = 24
Step-by-step explanation:
25 × 25 = 625 7 × 7 = 49 625 - 49 = 576 24 × 24 = 576 therefore b = 24 hope that helps!
When she was born, Tabitha’s rich aunt put $10,000 in a bank account in Tabitha’s name to be saved for her college education. The account earns 6% annual interest.
Martin's family opened an account when he was born. They started by putting $15,000
in this account and then his family added $50 a month, which is $600 per year to his
account. The account did not earn interest over time.
a. Make a table showing the value of each account of each year for 5 years. Round
your answers to the nearest dollar. Explain what calculations you used to find
the missing entries.
Answer:
Step-by-step explanation:
subtract -2/15 from -3/5 and add the result to 5/6
Answer:
6/5
Step-by-step explanation:
-3/5-(-2/15)+5/6
-3/5+2/15+5/6
=-3+2×5/15 + 5/6. (taking lcm)
=-3+6/15+5/6
=3/15+5/6
=3+5×3/15 (taking lcm)
=18/15
=6/5
Answer:
Step-by-step explanation:
-3/5-(-2/15)+5/6
=-3/3+2/15(take lcm of 3 and 15)+5/6
=-3*3+2*1/15+5/6
=-9+2/15+5/6
=-7/15+5/6(take lcm of 15 and 6)
=-7*2+5*5/30
=-14+25/30
=11/30
=11/30
help me out please <3
Answer:
Step-by-step explanation:
67,68,69,69,69,71,71,72,73,75
median=(N+1)/2(N=no of data)
=(10+1)/2
=11/2
=5.5
(5 th +6 th) /2term
69+71/2
140/2
70
therefore median=70
maddyross91 ! i’ll give brainliest please help
Answer:
Symbol
Step-by-step explanation:
the object symbolizes something else
Answer:
C. Symbol
Step-by-step explanation:
Symbol-a mark or character used as a conventional representation of an object, function, or process, e.g. the letter or letters standing for a chemical element or a character in musical notation.
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Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
How many triangles can be drawn with one 90o angle, a 70° angle, and an included side measuring 3 inches? Explain. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Answer:
2
Step-by-step explanation:
This is because any of the sides can be the one measuring 3 inches. Since it is a triangle, the sum of angles is 180. Let the third angle be x.
So, x + 90° + 70° = 180°
x + 160° = 180°
x = 180° - 160°
x = 20°
So, the third angle is 20°.
If the included side is a side other than the hypotenuse side, we can find it by applying the sine rule.
The included side can be either side other than the hypotenuse.
Also, either of the third angle in each triangle can be 20°
So, we have two sides and two triangles.
If the included side is the hypotenuse side, we use Pythagoras' theorem to find the length of the other two sides (and they must be equal)since the angle between the two sides is a right-angle, that is, 90°.
Since the other two angles are not equal, we cannot have a triangle with two equal sides and an hypotenuse. That is, we cannot have an isosceles triangle. So, no third triangle.
So, the total number of triangles that can be drawn with one 90° angle, a 70° angle and an included side measuring 3 inches is 2.