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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the coefficient in the term 7xy is
Answer:
The coefficient is 7
Step-by-step explanation:
The coefficient of an algebraic expression is the number that is being multiplied by a variable or multiple variables. In this case, 7 is being multiplied by x and y, so 7 is the coefficient.
find the missing side
Answer:
x = 27.6907 units
Step-by-step explanation:
cos (62) = 13/x
x cos (62) =13
13 / cos(62)=x
x is 27.6907 units
Ninas car exponentially depreciate at a rate of 8% per year. If Nina bought the car when it was 6 years old for 12,045 , what was the original price
Answer: $19,864.60
Step-by-step explanation:
The future value formula could have been used to find the price in the 6th year. As we now know the price, the formula can now be used to find the original price.
Price at 6th year = Original price * ( 1 + rate) ^ number of years
12,045 = Og * ( 1 - 8%) ⁶
12,045 = Og * 0.606355001344
Og = 12,045 / 0.606355001344
Og = $19,864.60
Rate is subtracted because price was reducing.
WHich of the following has the steepest slope?
a. y = -4x + 1
b. y = 2x + 3
c. y = x+6
d. y = -3x - 4
Answer: Choice A)
y = -4x+1
=======================================
Explanation:
The general format of a linear equation can be written as y = mx+b
m = slope
b = y intercept
The steepest slope is the value of m that is furthest away from zero. If m > 0, then we're looking for the largest value of m or value to the right of 0. If m < 0, then we're trying to get as left as possible.
Of the choices we have, choice A has the m value furthest from 0. If you want, you can make each slope positive and then compare to see which slope is largest.
There is a square field of side 45m. There is a well in this field of area of 5 sq. Metre. In the remaining part, we plant coconut trees at the rate of one plant per sq.Metre . How many trees can be planted in the field? If the cost of planting one tree is Rs. 75. What is the total cost of planting the trees?
Answer:
Numbner of plant in field = 2,020
Cost of planting trees = R.s 151,500
Step-by-step explanation:
GIven:
Side of square field = 45 m
Area of well = 5 square meter
1 plant = 1 squre meter
Cost per tree = R.s 75
Find:
Numbner of plant in field
Cost of planting trees
Computtaion:
Area of planting trees = Area of filed - Area of well
Area of planting trees = [45 x 45] - 5
Area of planting trees = 2,025 - 5
Area of planting trees = 2,020 squre field
Numbner of plant in field = Area of planting trees / 1 squre meter
Numbner of plant in field = 2,020
Cost of planting trees = 75 x Numbner of plant in field
Cost of planting trees = 75 x 2,020
Cost of planting trees = R.s 151,500
Please help I'll love you forever pleasdeeee
Answer:
[tex]30[/tex]; Obtuse, isosceles triangle OR "[tex]B[/tex]"
Step-by-step explanation:
If you replace the [tex]z^o[/tex] variable with [tex]30^o[/tex] on both angles.
The angles will be:
[tex]30^o[/tex]
[tex]120^o[/tex] ([tex]4(30)=120^o[/tex])
[tex]30^o[/tex]
This angle is isosceles (two sides are equal). It is obtuse (there is one angle that is greater than [tex]90^o[/tex]).
Given triangle XYZ:
Angle X = 90°
Angle Y = 45°
Angle Z=
Answer:
Hello! answer: 45
Step-by-step explanation:
90 + 45 + 45 = 180 therefore z = 45 hope that helps!
Hi there!
»»————- ★ ————-««
I believe your answer is:
45°
»»————- ★ ————-««
Here’s why:
The three interior angles of a triangle will always have a sum of 180°.⸻⸻⸻⸻
[tex]\boxed{\text{Finding the Missing Angle:}}\\\\\rightarrow90 + 45 + x = 180\\\\\rightarrow 135 + x = 180\\\\\rightarrow 135-135 + x = 180 - 135\\\\\rightarrow \boxed{x = 45}\\\\\text{Therefore:}\\\\\measuredangle Z = 45$^{\circ}$[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Trying to find the surface area and can not get the answer.
Answer:
Hi there user! I'll help you!
96 should be the correct answer!
Step-by-step explanation:
4 x 3 = 12
4 x 7 = 28
5 x 7 = 35
3 x 7 = 21
12 + 28 + 35 + 21 = 96
Find the missing length of the triangle. 3.4 and 3.0
Answer:
4
Step-by-step explanation:
3 + 3.4 = 6.4
which is greater than 4
the sum of the 2 smallest sides have to be greater than the largest side
Where do the parabola defined by y=-22 + 4x + 1 and the line defined by y=-x+ 5 intersect? O (4,1) and (-1,6) O (-4,9) and (-1,6) (-4, 9) and (-1,-6) O (4,1) and (1, 4)
Answer:
(4,1);(1,4)
Step-by-step explanation:
The point on the parabolic equation y = -x² + 4x + 1 and line y = -x + 5 intersect is P ( 4 , 1 ) and Q ( 6 , -1)
What is a Parabola?A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
y = a ( x - h )² + k
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
Let the parabolic equation be y = -x² + 4x + 1
Let the equation of line be y = -x + 5
Now , To find the points of intersection between the parabola y = -x² + 4x + 1 and the line y = -x + 5, we need to set the two equations equal to each other and solve for x and y simultaneously.
Setting y = -x² + 4x + 1 equal to y = -x + 5, we get:
-x² + 4x + 1 = -x + 5
Rearranging the equation, we get a quadratic equation in standard form:
-x² + 4x + x - 1 - 5 = 0
-x² + 5x - 6 = 0
Factoring the quadratic equation, we get:
-(x - 1)(x - 6) = 0
Setting each factor equal to zero and solving for x, we get two potential values for x:
x - 1 = 0 or x - 6 = 0
x = 1 or x = 6
Now, substituting the values of x back into the equation y = -x + 5 to find the corresponding y-values, we get:
For x = 1:
y = -1 + 5
y = 4
So, one point of intersection is (1, 4)
For x = 6:
y = -6 + 5
y = -1
So, the other point of intersection is (6, -1).
Hence , the point of intersection is P ( 4 , 1 ) and Q ( 6 , -1)
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please help!! 40 points . if you guess or just comment to take points i will make sure your account gets banned, thanks! i want a small simple explanation.
Answer:
1) m<DBE= 140
2)m<EBD= 30
Step-by-step explanation:
1) 5x-60= x+20
4x= 80
x= 20
plug in the x into the equation: (x+20)---> (20+20)=40
180-40= 140
2) 4x-2+20x-10= 180
24x= 192
x=8
plug in the x into the equation: (4x-2)----> 4(8)-2----> 32-2= 30
3) im not sure
4) im not sure
Answer: did you see my answer on the second page?
Step-by-step explanation: IM SORRY PLEASE DONT BAN ME
Please help!!!! Giving brainliest and extra points!!!! (Click on the photo)
Answer:
i dont understand the question much cuz its only told berries so i think is both rasberry and strawberry
Step-by-step explanation:
if so here my solve: Both berries are 38% of the graph, we have equation 38%×290 = 110,2
hmmmm maybe the ans is D. 110
I am in need for help please
Answer:
x = 12
Step-by-step explanation:
Exterior angles thm:
8x - 10 + 5x - 12 = 134
13x - 22 = 134
13x = 134 + 22
13x = 156
x = 12
10.
Which explanation provides the best real-world scenario of the graph?
A. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 – 38 gives the height of the object after t seconds.
B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.
C. If an object is dropped from a height of –16 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.
Answer:
B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.
Step-by-step explanation:
The equation that models the movement of the object is:
Where,
t: time
a: acceleration due to gravity
v0: initial speed
h0: initial height
Suppose that the object falls with zero initial velocity and from a height of 38 feet.
The equation that models the problem is:
Answer:
If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
Answer: If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
Step-by-step explanation:
A number is multiplied by 4. That result is added to 12. The final number is 40. What is the original number.
Answer:
3
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
(40-12)/4
28/4
7
Given f(x) = x^2 + 2 and g(x) = 2 – x, find a simplified expression for f(2x) + g(3x).
Answer:
f(2)+g(3) = 5
Step-by-step explanation:
Given that,
f(x) = x² + 2
g(x) = 2-x
We need to find the value of f(2)+g(3).
f(2) = 2² + 2 = 6
g(3) = 2 – 3 = -1
So,
f(2)+g(3) = 6+(-1)
= 5
Hence, the value of the given expression is 5.
what will the remainder over the divisor?
description of turning effects
Answer:
The turning effect of a force is known as the moment. It is the product of the force multiplied by the perpendicular distance from the line of action of the force to the pivot or point where the object will turn.
Can someone help me the four options would be 34 degrees btw
Answer:
Angle NKQ is 68 Degrees.
Step-by-step explanation:
With this, consider the arc that Angle NPQ is making. It is making an arc of 112 degrees since the Angle is coming out from the radius of the circle.
Now, there is also the arc 248 degrees for the remainder of the circle that is not within this angle's reach.
Since Angle NKQ shares these arcs, we can use the equation:
Big Arc + Small Arc / 2
to get the measure of this angle
(248 - 112) / 2
With this, Angle NKQ is 68 degrees.
I need to find this angle please help i know it is adjacent but i need the angle.
Answer:
148 degrees!
Step-by-step explanation:
They are 180 degrees together so just subtract 32. 180- 32 = 148.
Answer:
148°
Step-by-step explanation:
A flat angle measures 180°
180° - 32° = 148°
Please help me on this problem
Answer:
The answer would be 20 mi
Step-by-step explanation:
a^2+b^2=c^2
a^2=144
b^2=256
C^2=400
Then you find the square root of ABC to find that C is 20
Which equation should you solve to find x?
Answer:
C
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos24° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] → C
Note
sin24° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{10}[/tex] ( which does not include x )
tan24° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4}{x}[/tex] ≠ [tex]\frac{x}{4}[/tex]
.Answer only the second question and show steps
Answer:
Step-by-step explanation:
Perimeter is found by adding all the sides of a figure together. We have 2 lengths that are 10.5 long, and 2 widths that are 8.75 wide. Adding these together:
10.5 + 10.5 + 8.75 + 8.75 = 38.5 cm
this answer for # 2 question
what is the sum of 2/3+ 1/5 ?
Answer:
13/15
Step-by-step explanation:
Answer:
[tex] \frac{13}{15} [/tex]Step-by-step explanation:
HOPE IT HELPS MUCH
how much would you need to pay?
Answer:
a
Step-by-step explanation:
Jack and Jill collect coins. Jack has 56 coins, and Jill has 80 coins. Both recently joined a coin-collecting club. Jack's club will send him 12 new coins per month, and Jill's club will send her 8 new coins per month. After how many months will Jack and Jill have the same number of coins?
Answer:
So, after 6 months, they both have the same number of coins.
Step-by-step explanation:
Jack has 56 coins
Jill has 80 coins
Jack collect 12 coins per month
Jill collect 8 coins per month
Let after m months, they both have the same coin.
56 + 12 m = 80 + 8 m
12 m - 8 m = 80 - 56
4 m = 24
m = 6
So, after 6 months, they both have the same number of coins.
help help help help need to pass this
Answer:
0.25
Step-by-step explanation:
t/4+16=17
t=(17-16)/4
=0.25
Which equation best describes the situation below?
5 less than a number is 15.
Let the number is X
So the equation will be X-5 = 15
What is the length of QR?
Answer:
B
Step-by-step explanation:
which of the following statements are true about solving equations
Answer:
u need to provide the statement
Step-by-step explanation: