Answers
Remember, the hypotenuse is the side opposite the right angle of the triangle.
Related Questions
How many 1.4 meter sections of rope can be cut from a length of rope 6 meters long?
Answers
We can cut a total of 4 sections of 1.4 meters through 6-meter long rope.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given,
Length of rope = 6 meter
Length of section = 1.4 meter
Number of sections = Length of rope ÷ Length of section
Number of sections = 6/1.4 = 4.28 since 0.28 part is not complete section so we will not consider it.
Hence "We can cut a total of 4 sections of 1.4 meters through 6-meter long rope".
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Sam Monte deposits $21,500 into Legal Bank which pays 6 percent interest that is compounded semiannually. What will Sam have in his account at the end of 6 years?
Answers
its A=P(1+/n)^nt
Please help! Find the value of C such that each expression is a perfect-square trinomial.
p^2-30p+c
k^2-5k+c
Answers
when a=1
take 1/2 of b and square it
that is what c should be ideally
p^2-30p=c
-30/2=-15
(-15)^2=225
c=225
(p-15)^2 is factored form
k^2-5k+c
-5/2
(-5/2)^2=25/4
c=25/4
factored form is (x-5/2)^2
Given that segments RS and RT are tangent to circle Q, find the length of RS.
Answers
As they both are tangents of the same circle, their lengths must be equal.
RS = RT
x/4 = x-6.3
x = 4x - 25.2
4x-x = 25.2
3x = 25.2
x = 8.4
As, RS = x/4, it will be equal to 8.4/4 = 2.1
SO, YOUR FINAL ANSWER IS RS = 2.1
To find the length of segment RS, we can use the tangent-radius theorem and the Pythagorean theorem. Segment RS is perpendicular to the radius of circle Q that passes through point S. By using the Pythagorean theorem, we can solve for the length of RS.
Explanation:The length of segment RS can be found using the tangent-radius theorem. According to this theorem, if a line is tangent to a circle at a certain point, then the line is perpendicular to the radius that passes through that point. Therefore, segment RS is perpendicular to the radius of circle Q that passes through point S.
Since RS is perpendicular to the radius, RS and the radius form a right triangle. The length of RS can be found using the Pythagorean theorem. Let's denote the length of the radius as r and the length of RS as x. The radius is the hypotenuse of the right triangle, so we have:
x^2 + RS^2 = r^2
Since RS is the only unknown, we can solve for it. Once we have the value of the radius, we can substitute it into the equation to find the length of RS.
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When a diagonal is drawn in a rectangle, what is true of the areas of the two triangles into which it divides the rectangle?
They are called?
Answers
Answer:
They would be Equal
Step-by-step explanation:
if we split a rectangle into two triangles it would be the same triangle just flipped!
The sum of two consecutive even integers is 234. What is the larger integer?
A. 114
B. 116
C. 118
D. 124
Answers
Answer: 118. I took the test
Step-by-step explanation:
The elimination method is useful when you can eliminate one of the variable terms from an equation by adding or subtracting another equation. True or False
Answers
What value of x is in the solution set of 3(x – 4) ≥ 5x + 2?
Answers
3x-12>5x+2
Subtract 2
3x -10 > 5x
Subtract 3x
2x -10
divide 2
x=-5
Answer:
Step-by-step explanation:
B) -5
What are some positive integer and a negative integer?
Answers
ex. -10+-2 would be a negative integer you just add them and keep the sign
Hopes this helps if you have more question just hmu and ask :)
Answer:
Positive Integers Negative Integers
Are to the Right of zero Are to the left of zero
Are valued greater than Zero Are valued less than zero
Express Ideas of up , a gain or Express Ideas of down or a
a profit loss
The "+" is not always needed The "-" is always needed
Step-by-step explanation:
Hope it Helps
Find the weighted average of these values
Value Weight
5.00 75.0 %
6.00 15.0 %
7.00 10.0 % ...?
Answers
To find the weighted average of given values, multiply each value by its weight, sum the results, yielding a weighted average of 5.35.
Explanation:The question is asking to find the weighted average of given values with their corresponding weights. To calculate a weighted average, each value is multiplied by its weight, and then the results are summed up. The formula used is \(Weighted\ Average = (Value_1 \times Weight_1) + (Value_2 \times Weight_2) + \cdots + (Value_n \times Weight_n)\).
Applying the given values and weights:
\(5.00 \times 75.0\% = 3.75\)\(6.00 \times 15.0\% = 0.90\)\(7.00 \times 10.0\% = 0.70\)Summing the results: \(3.75 + 0.90 + 0.70 = 5.35\).
Therefore, the weighted average of these values is 5.35.
The weighted average of the item is 5.35 weight units
The steps used to find the weighted average are as follows;
The weighted average is a technique or method used to find the average of a list of items, where the contribution of each item to the sum of the measurements are different or proportional to a specified measurement of the quantity
The mass and percentage by weight of the items indicates that we get;
The contribution of the item with a value of 5.00 is; 5 × 75% = 3.75
The contribution of the item with a value of 6.00 is; 6 × 15% = 0.9
The contribution of the item with a value of 7 is; 7 × 10% = 0.7
The weighted average of the substance is therefore; 3.75 + 0.9 + 0.7 = 5.35
How much of the circle is shaded? Write your answer as a fraction in simplest form.
Answers
7\14+6\14=13\14
1-13\14=1\14
Choose the function that is a “parent function”.
ƒ(x) = x + 3
ƒ(x) = (x - 3)2
ƒ(x) =
ƒ(x) = |x - 3|
Answers
Answer:
F(x)=x+3
Step-by-step explanation:
Use the three steps to solve the problem.
A "Local" train leaves a station and runs at an average rate of 35 mph. An hour and a half later an "Express" train leaves the station and travels at an average rate of 56 mph on a parallel track. How many hours after it starts will the Express overtake the Local?
Answers
35x+52.5
The rate that train 2 is going plus the distance:
56x+0
X=number of hours
Solve for X to find where the 2 trains have gone the same distance:
35x+52.5=56x
52.5=21x
2.5=x
The express train will overtake the local train 2 and a half hours after it leaves
Answer:
It will take 2.5 hours
Step-by-step explanation:
Choose 2 axioms that allows 22 + (m + 8) to be written as m + 30
a) commutative - addition
b) distributive
c) associative - multiplication
d) symmetric
e) commutative - multiplication
f) associative - addition
g) identity - addition
Answers
commutative for addition
22+(m+8)=(m+8)+22 then associative (m+8)+22=m+(8+22) =m+30Answer:
commutative - addition
associative - addition
Step-by-step explanation:
Earl pours 1/3 of a bottle of juice into his glass. Roberto pours 1/3 of the remainder into his glass. What fraction of the bottle of juice is left?
Answers
only 1/3 left...
An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle? Round your answer to the nearest tenth.
Answers
Arc A = 8 inches
We need formula that connects lenght of arc with central angle. That one is fallowing one:
A = 2*r*pi*α/360 where α is central angle. we can see that if α=360, A = 2*r*pi which is exactly the formula for parimeter of circle.
Further more we can express 360 in radians which is 2* pi and get
A = r*α as simpler formula
α = A/r = 8/3 = 2.66666667 ≈ 2.7
Drag each equation to show if it could be a correct first step to solving the equation 2(x+7)=362(x+7)=36.
Answers
x + 7 = 362/2
Step 2- Simplify 362/2 to 181
x + 7 = 181
Step 3- Subtract 7 from both sides
x = 181 - 7
Step 4- Simplify 181 - 7 to 174.
Answer: x = 174
The period of f(x)=cos (2pi/3)x is ...?
Answers
Hope this can help you
Calculate the length of the circumference of a circle with diameter 6.2cm use pi = 3
Answers
The circumference of the circle with diameter 6.2 cm, using (pi) equal to 3, is calculated as 18.6 cm using the formula C = (pi)d.
The question asks to calculate the length of the circumference of a circle with a diameter of 6.2 cm, using an approximate value for (pi) as 3. To find the circumference of a circle, the formula C = (pi)d is used, where C is the circumference and d is the diameter. Since we are provided with the diameter (6.2 cm) and an approximate value for
(pi) as 3, the calculation is straightforward.
Using the formula,
C = (pi)dC = 3 * 6.2 cmC = 18.6 cmThus, the circumference of the circle is 18.6 cm.
how do you write (negative Infinity, 8)or (10, Infinity) as inequality?
Answers
Alex wants to have $3000 in his bank account after 4 years. If the account earns 6% interest compounded 2 times per year, how much should he put in?
Answers
What is the area of this face ?
Answers
Answer: The area of the face is 15 sq. in.
Step-by-step explanation: We are given to find the area of the yellow-coloured face in the figure.
The area of the coloured face is equal to the area of one face of a cube of side 4 in MINUS the area of one face of a cube of side 1 inch.
The area of one face of a cube of side 4 in is given by
[tex]A=\textup{area of a square of side length 4 in.}=4\times 4=16\textup{ sq. in.}[/tex]
and the area one face of a cube of side 1 in is given by
[tex]a=\textup{area of a square of side length 1 in.}=1\times 1=1\textup{ sq. in.}[/tex]
Therefore, the area of the coloured face will be
[tex]Area=A-a=16-1=15\textup{ sq. in.}[/tex]
Thus, the area of the face is 15 sq. in.
The area of the face which is indicated in the figure is 15 in².
Use the concept of quadrilateral defined as:
Convex and concave are the two main forms. Convex quadrilaterals can also be divided into a number of subgroups, including trapezoids, parallelograms, rectangles, rhombus, and squares.
For big cube:
length of sides = 4 in
Area of one face = 4x4 in²
Area of one face = 16 in²
For small cube:
length of sides = 1 in
Area of one face = 1x1 in²
Area of one face = 1 in²
Since we can see that
The area of one face of a small cube coincides with the face of the big cube.
Therefore,
We have to remove the area of one face of the small cube from the big cube,
So, the area of the face indicated in the figure is,
(16 - 1) in² = 15 in²
Hence,
The area of the required face is 15 in²
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a square with a side length of x+6 has the same perimeter as an equilateral triangle with a side length of 4x. what is the area of the square
Answers
4(x+6) = 3(4x)
Distribute:
4x +24 = 12x
Solve for x:
8x = 24
x = 3
Sub in x=3 into x+6 to find length of side:
3+6 = 9
Find Area of square:
Area = 9*9 = 81
Two Tibetan monks are having a race along a straight path. They both start at the same time, and the race ends in a tie. Prove that at some time during the race the two monks have exactly the same speed.
Answers
Velocity (v) is the derivative of displacement (x) :
v = dx/dt
Monk 1 arrives after a time t* and Monk 2 too.
Name v1(t) and v2(t) their respective velocities throughout the trajectory.
Then we know that both average velocities were equal :
avg1 = avg2
and avg = integral ( v(t) , t:0->t*) / t*
so
integral (v1(t), t:0->t*) = integral (v2(t), t:0->t*)
which is the same of saying that the covered distances after t* seconds are the same
=> integral (v1(t) - v2(t) , t:0->t*) = 0
Thus, name v#(t) = v1(t) - v2(t) , then we obtain
=> integral ( v#(t) , t:0->t*) = 0
Name the analytical integral of v#(t) = V(t) , then we have
=> V(t*) - V(0) = 0
=> V(t*) = V(0)
So there exist a c in [0, t*] so that
V'(c) = (V(t*) - V(0)) / (t* - 0) (mean value theorem)
We know that V(0) = V(t*) = 0 (covered distances equal at the start and finish), so we get
V'(c) = v#(c) = v1(c) - v2(c) = 0
=> v1(c) = v2(c)
So there exist a point c in [0, t*] so that the velocity of monk 1 equals that of monk 2.
what are the steps to solve
7x − 1/2 (8x + 4) = 6
Answers
7x-1/2(8x+4)=6
Simplifying:
7x-0.5*(8x+4)=6
Reorder the terms
7x+(-4x-2)=6
Remove unnecessary parentheses
+7x-4x-2=+6
We move all terms containing x to the left and all other terms to the right.
+7x-4x=+6+2
We simplify left and right side of the equation.
+3x=+8
We divide both sides of the equation by 3 to get x.
x=2.66666666667
7x - 4x -2 = 6
2) combine like terms
3x - 2 = 6
3) use the addition properties of equality
3x = 8
4) use the division properties of equality
x = 8/3
Round 37.82 to the nearest tenths place.
Answers
Answer: 37.8
A farmer grows two types of grain in his fields. He has a seed budget of $15,000.00 and has spent $5,800.00 to plant wheat seed so far. If barley seed costs $53.00 per acre to plant, what is the maximum number of acres of barley the farmer can plant and still be under budget?
A.283 acres
B.109 acres
C.173 acres
D.174 acres
Answers
Answer:
The answer is option D.
Step-by-step explanation:
Total seed budget is = $15000
Amount paid for wheat seeds = $5800
So, amount left is = [tex]15000-5800=9200[/tex]
Now, lets suppose the number of acre of land to be planted by barley seeds be = x
Barley seed costs = $53 per acre.
This means for 53x acres $9200 will be used.
Therefore, [tex]x=\frac{9200}{53}[/tex] = 173.58 acres ≈ 174 acres
solve |x + 7| = 12
a. {-19, -5}
b. {-5,19}
c. {-19,5}
d.{5,19}
Answers
|a|=b
assume
a=b and a=-b
|x+7|=12
assume
x+7=12 and x+7=-12
minus 7 both sides
x=5 and x=-19
C is answer
x+7 = 12 AND x+7 = -12
x = 5 x = -19
Which answer describes the type of sequence?
−99, −88, −66, −55, ...
A. arithmetic
B. neither arithmetic nor geometric
C. geometric
Answers
Now, Arithmetic difference, d = -88-(-99) or -66-(-88) which is 11 or 22. As they are not equal, it is not a Arithmetic.
So, it's neither an Arithmetic nor a Geometric.
Option B is your answer!
Hope this helps!
Answer:
b
Step-by-step explanation:
took the test thx to the other answer thought it deserved 5 starts good luck
What is the value of x in the following equation:6x+2x=24 ?
A.2
B.3
C.9
D.7
Answers
First you add 6x+2x which is 8x.
Then you divide 8 to both sides.
Your answer is x=3.