Hey there!:
According to the Pythagorean theorem, the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse (H):
1² + 19² = x²
1 + 361 = x²
x² = 1 + 361
x² = 362
x = √ 362
x = 19.02
Hope this helps!
The measure of the other leg of the right triangle is calculated as: 18.97 cm
How to use Pythagoras Theorem?Pythagoras Theorem is defined as the way in which you can find the missing length of a right angled triangle.
The triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).
Pythagoras is in the form of;
a² + b² = c²
Thus, if the leg is x, then we have:
x = √(19² - 1²)
x = 18.97 cm
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Please help me!!
What is the value of x?
A single triangle is 180 degrees.
As you can see. Triangle A, as it is shown in the bad drawing. It is an isosceles triangle because two sides are equal to one another, indicated with the lines. Angle A is given as 57. By the isosceles triangle theorem, Angle A equals to Angle B. Calculating the missing angle: 180 - 57 (given) - 57 (because of the isosceles triangle theorem type of thing. I forgot) = 66
You can see it is a verticle angle so angle C is equal to angle D, therefore angle D is 66.
Again it is an isosceles triangle so Angle F is 66. 180 - 66(angle D) - 66(angle F) = 48 = angle x
Angle A = 57 degrees. Given
Angle A = Angle B. isosceles triangle theorem
Angle B = 57 degrees. Substitute
Angle A + Angle B + Angle C = 180. Definition of Triangle (I forgot what it was called)
57 + 57 + Angle C = 180. Substitution
Angle C = 66. Subtraction
Angle C = Angle D. Verticle angle theorem.
Angle D = 66. Substitution
Angle F = Angle D. isosceles triangle theorem
Angle F = 66. Substitution
Angle D + Angle F + Angle X = 180. Definition of Triangle?
66 + 66 + Angle X = 180. Substitution
Angle X = 48. Subtraction
The area of a rectangular room is given by the expression x2 + 9x – 36, where x is in feet. Assume the length of the room is longer than the width. Also, assume that the binomial factors of the expression are the length and width of the room. Part A Write the given quadratic expression in factored form
Answer:
(x + 12)(x - 3)
Step-by-step explanation:
a = x^2 + 9x – 36
Factor
a = (x + 12)(x - 3)
Givin P(X)=0.35, P(Y)=0.45, and P(Y|X)=0.25, what are P(X and Y) and P(X or Y)
Answer:
[tex]P(Y|X)=\frac{P(Y\cap X)}{P(Y)} \\ P(Y\cap X) = P(Y)P(Y|X) \\ = 0.45 \times 0.25 \\ \boxed{P(Y\cap X) =0.1125} \\ P(Y\cup X) = P(Y) + P( X) - P(Y\cap X) \\ = 0.45 + 0.35 - 0.1125 \\ \boxed{P(Y\cup X) =0.6875}[/tex]
If x= (5/8)^2 x (12/15)^2 then the value of x^3 is
#Explanation please
#No spam
Step-by-step explanation:
[tex]\sf \longmapsto \: x = \bigg( \dfrac{5}{8} \bigg ) ^{2} \times \bigg( \dfrac{12}{15} \bigg) ^2[/tex]
We need to Find:
value of x³[tex]\sf \longmapsto \: x = \cancel{ \frac{5 \times 5}{8 \times 8}} \times \cancel{ \frac{12 \times 12}{15 \times 15}} [/tex]
[tex]\sf \longmapsto 2 \times 2[/tex]
[tex]\sf \longmapsto \: x = 4[/tex]
[tex]\sf \longmapsto \: x {}^{3} [/tex]
Put 4 in the place of x[tex]\sf \longmapsto {4}^{3} [/tex]
[tex]\sf \longmapsto4 \times 4 \times 4[/tex]
[tex]\sf \longmapsto64 {}^{1} [/tex]
[tex]\boxed{\sf x^3≈64 {}^{}} [/tex]
Determine the rate of change between the points (-1,-1) and (1,-1).
Answer:
[tex]\displaystyle m = 0[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
*Note:
Rate of change is slope.
Step 1: Define
Identify.
Point (-1, -1)
Point (1, -1)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{-1 + 1}{1 + 1}[/tex][Order of Operations] Simplify: [tex]\displaystyle m = \frac{0}{2}[/tex]Simplify: [tex]\displaystyle m = 0[/tex]Find the slope of the line passing through the points (-9, -6) and (-4, 5)
Answer:
-1.4
Step-by-step explanation:
rise over run y2-y1 (top) and x2-x1 (bottom)
sue spent $8 on a shirt $39 on a jacket and $12 on a hat how much did she spend?
Answer:
$59 was spent
Step-by-step explanation:
8 + 39 + 12 = 59
Which means $59 was spent
Emily eats 4 bags of Takis in hours. How many bags of Takis can she eat in one
hour?
Answer:
There is not enough information.
Step-by-step explanation:
You said that she eats 4 bags of takis in hours. You didn't give how many hours she can eat 4 bags of Takis. So we do not know how many she can eat in one hour if we dont know how many hours she can eat 4 bags.
helpppppppppppppppppppppppppppp
Answer:a is 14, b is 70%, c is 250
Step-by-step explanation:
Which equation is the inverse of 2(x - 2)2 = 8(7 + y)?
O-2(x - 2)2 = -8(7 + y)
o y-2x2-x-6
O y=-2+28+4x
O y=2+28+4x
4.2692 ÷ 0.13 pls i need help
Answer:
32.84
Step-by-step explanation:
dont know why you came here instead of using a calculator but yea.
Answer:
32.84
Step-by-step explanation:
Please help ASAP! Only answer if you know the correct answer! Thanks :)
Answer:
29 minutes
Step-by-step explanation:
10 1/10 = 101/10
4 9/10 = 49/10
(49/10)/(101/10) = 49/101 hr
49/101 hr = 2940/101 mins = 29 mins
Solve for
98=.71
i need asap
Answer:
There's no solution for this. Are you sure you wrote the problem correctly?
Step-by-step explanation:
Answer:
?????????????????
Step-by-step explanation:
???????????????
A $53 tennis racquet is on sale for 20% off the regular price. What is the discount? What is the sale price?
Answer:
hope it helps you...............
Answer:
Discount: $10.60 Price: $42.40
Step-by-step explanation:
Since 20% just means 1/5, you can divide the original price by 5 to find the discount and then just subtract the discount from the original price to find the discounted price.
Select the correct answer.
What is ?
A.
B.
C.
D.
Answer:
b
Step-by-step explanation:
Answer:
b4/3
Step-by-step explanation:
Here is a linear equation: y = 1/4x + 5/4 Are (1. 1.5) and (12.4) solutions to the equation? Select the correct choice
A. Neither (1,1.5) and (12,4) are solutions to the equation.
B. (1,1.5) is a solution to the equation, but (12,4) is not.
C. (12,4) is a solution to the equation, but (1,1.5) is not.
D. Bath (1,1.5) and (12,4) are solutions to the equation.
Answer:
Step-by-step explanation:
It’s D
-1/4 divided by (-9/16)
Answer:
4/9
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
4
----
9
Decimal Form:
-
0.4
A two digit number is four times the sum and three times the product of its digit. Find the number.
Can you help me on this question Plss??
the area of the base of a rectangular prism is 12.7 sq in and the height is 7.6 in. What is the volume?
Answer:
96.52
Step-by-step explanation:
The equation for the volume of a rectangular prism is V=LxWxH and since you already gave me the area which is LxW , then all you have to do is the area times height which is 12.7 x 7.6 which equals 96.52help me please !!!!
Answer:
graph X only
Step-by-step explanation:
because with the rate of change it makes a straight line
The temperature which is 5 ° C below -2 ° C is
Answer:
-7 celsius degrees
Answer:
-7 ° C
Step-by-step explanation:
The temperature -2 ° C is your starting or reference point. Subtracting 5 ° C results in a new temperature which is 5 ° C below -2 ° C:
-2 ° C
- ( 5 ° C)
--------------
-7 ° C (answer)
Type the integer that makes the following addition sentence true:
___ + 9 = 4
Answer:
answer is -5
Step-by-step explanation:
-5+9=4
Answer:-5
Step-by-step explanation: -5 -4 -3 -2 -1 1 2 3 4 = 9]
Now that you’ve calculated all the missing values, complete the table.
Missing Blank for:
Raul and his friends: (3/4) / (1/20) = 15
Items: 15
Cars: (7/8) / 2 = 7/16
Weight per item: 7/16
Baby elephants: (3/4) / (3/8) = 2
Items: 2
Goats: (1/2) / 4 = 1/8
Weight per item: 1/8
Desks: (3/8) / (1/32) = 12
Items: 12
In mathematics we like to write expressions concisely. For example, we will often
write the expression 5 × 5 × 5 × 5 as 54. The lower number 5 is called the base,
the raised 4 is called the exponent, and the whole expression 54 is called a power.
So 53 means 5 × 5 × 5 and is equal to 125.
What are the last three digits in the integer equal to 5 to the power of 2020?
25
Step-by-step explanation:
because 5^6=78125
Please help me with my math homework
Answer:
not arithmetic
not arithmetic
arithmetic - common difference= -4
Step-by-step explanation:
in an arithmetic sequence you get to the next number by adding or subtracting the same number each time.
The vertices of a triangle are A(-1,1), B(-1,4), and C(-5,4). What are the
vertices of the image reflected across the line y=x? *
1
O A(-1,-1), B(-1,-4), and C(-5,-4)
O A(1,1), B(1,4), and C(5,4)
O A(1,-1), B(4,-1), and C(4-5)
O A(-1,1), B(-4,1), and C(-4,5)
Answer:
A(1,-1), B(4,-1) and C(4, -5)
Step-by-step explanation:
What is the quotient of 1/2 divided by 2/3
Answer:
quotient=3/4
Step-by-step explanation:
Flip the 2nd fraction
1/2 divided by 2/3
2/3=3/2
Now multiply!
1/2x3/2=
3/4
what is the radical simplified expression of 16^5/4
Radical form → [tex]\sqrt[4]{16^{5} }[/tex]
The actual value:
Write as [tex](\sqrt[4]{16} )^{5} =2^{5} =32[/tex]
sqrt(4)((16)^{5))
Step-by-step explanation:
Value
(4,16))^5 = 2^5 = 32
can you scale up to 1,120 from 2? or, can you determine how many moose per one person?
The scaling up of 1,120 from 2 requires that we have; 560 moose per one person.
Scaling up 1,120 from 2 requires determining the conversion factor of 2 to 1,120
Conversion factor, c.f = 1,120/2
c.f = 560In essence, the scaling up of 1,120 from 2 requires that we have; 560 moose per one person.
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