The lengths of the sides of a triangle are 3 , 4 , 5 Classify the triangle as acute, right, or obtuse.
please help me.. I don't understand what it is..
9514 1404 393
Answer:
22.6
Step-by-step explanation:
The diagonal of the square is they hypotenuse of an isosceles right triangle with sides of 16 inches. The Pythagorean theorem tells you its length (d) is ...
d^2 = 16^2 +16^2 = (16^2)(2)
Taking the square root, we have ...
d = 16√2 ≈ 22.6 . . . . inches
If sin (x + y) = 1 and cos (x - y) = √3/2, then x =
Answer:
reference attached
hope it helps you<3
For which value of x is this equation true?10 + x ÷ 3 = 12
Answer:
Hi
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Thanks
Step-by-step explanation:
10 + x / 3 = 12
Cross multiply
10 + x = 12× 3
10 + x = 36
Collect like terms
x= 36 - 10
x = 26
1.
Harriet has deposited $693 in a savings account that earns interest at a rate of 4.6% compounded monthly. What will the account balance be in thirteen years? (2 points)
$1,258.77
$1,243.50
$724.88
$3,187.80
Answer:
Future amount (A) = $1,258.77 (Approx)
Step-by-step explanation:
Given:
Amount deposit (p) = $693
Rate of interest monthly (r) = 4.9% / 12 = 0.003833
Number of month (n) = 13 × 12 = 156
Find:
Future amount (A)
Computation:
\(A = p [1+r]^n \\\\ A = 693 [1+0.003833]^{156}\\\\ A= 693[1.8163]\\\\ A = 1258.77\)
Future amount (A) = $1,258.77 (Approx)
hay 1230 personas, entre hombres y mujeres. Si se sabe que el número de mujeres, supera en 150 al número de hombres. ¿Cuántos hombres están habitando la mini ciudad?
There are 540 men living in the mini city.
x + (x + 150) = 1230
Simplifying this equation, we get:
2x + 150 = 1230
Subtracting 150 from both sides, we get:
2x = 1080
Dividing both sides by 2, we get:
x = 540
Therefore, there are 540 men living in the mini city.
To check our answer, we can substitute x = 540 into our original equation:
540 + (540 + 150) = 1230
690 = 1230
This is false, so there must be an error in our calculation. We can double-check our work by trying a different approach.
We know that the number of women exceeds the number of men by 150, so we can represent the number of women as (x + 150). We also know that the total number of people is 1230, so we can set up an equation:
x + (x + 150) = 1230
Simplifying this equation, we get:
2x + 150 = 1230
Subtracting 150 from both sides, we get:
2x = 1080
Dividing both sides by 2, we get:
x = 540
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a cinema seats 280 people. if 98 people are in the cinema what percentage of seats are filled?
Answer:
35%
Step-by-step explanation:
The total number of cinema seats can seat 280 people. Since 98 people take up 98 seats of the cinema, they are taking up 98 cinema seats out of the 280 cinema seats originally available.
As a fraction this would be written as \(\frac{98}{280}\) .
What you want to do is then divide 98 by 280 or 98/280, to get 0.35.
To get the percentage of seats filled, you must multiply the decimal you get by 100.
So it should look like this and your result should be 35%.
\(\frac{98}{280} = 0.35 *100=35\)%
can you please create a polynomial equivalent to this expression if\(n(not \: equal \: sign) - 1\)\( \frac{3 + n - 2 {n}^{2} }{1 + n} \)
Our polynomial is
\(\frac{3+n-2n^2}{n+1},n\ne-1\)This kind of polynomial is actually special, because create polynomials equivalent to it is very simple. For instance, the simplest equivalent polynomial we can create is generated by multiplying and dividing by "n". Doing that gives us
\(\frac{3+n-2n^2}{n+1}\cdot\frac{n}{n}\)\(\frac{(3+n-2n^2)n}{(n+1)n}\)\(\frac{3n+n\cdot n-(2n^2)n}{(n+1)n}\)\(\frac{3n+n^2-2n^3}{n\cdot n+n}\)\(\frac{3n+n^2-2n^3}{n^2+n},n\ne-1\)write an algebraic equation for the followingn problem and then solve for it. Hilltop dormitory just purchased a new soft drink machine on sale for $480. The sale price was 75% of the original price. What was the original price of the soft drink machine?
Answer:
Step-by-step explanation:480 x o.75=360
and now you add this amount on payed
360 + 480=840 was original price
Select the correct answer. Which function represents the inverse function of the function f(x)=x^2 +5
Answer:
f^(-1)(x) = ±√(x - 5).
Step-by-step explanation:
Replace f(x) with y: y = x^2 + 5.
Swap the x and y variables: x = y^2 + 5.
Solve the equation for y. To do this, we'll rearrange the equation:
x - 5 = y^2.
Take the square root of both sides (considering both positive and negative square roots):
±√(x - 5) = y.
Swap y and x again to express the inverse function:
f^(-1)(x) = ±√(x - 5).
given fx 6(1-x) what us tge value of f (8) positive
The value of function f (8) is, - 42 which is negative.
Since, A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The function is ,
⇒ f (x) = 6 (1 - x)
Now, WE can find the value of f (8) by substitute the value of x = 8 in above function,
⇒ f (x) = 6 (1 - x)
⇒ f (8) = 6 (1 - 8)
⇒ f (8) = 6 × - 7
⇒ f (8) = - 42
Thus, The value of function f (8) is, - 42 which is negative.
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What is the sum of the interior angles of the polygon below?
Answer:
540
Step-by-step explanation:
you can draw 5 triangles from the center...
5*180-360 = 540
which must be true in order for the relationship zyx~wvu to be correct
In order for the relationship zyx ~ wvu to be correct, the following conditions must be true:
Corresponding angles are congruent: The angles formed by matching vertices should have the same measures in both triangles. This ensures that the corresponding angles are equivalent.
Corresponding sides are proportional: The lengths of the sides that connect the corresponding vertices of the triangles should have a consistent ratio. This implies that the corresponding sides are proportional to each other.
These conditions are based on the definition of similarity between two triangles. If both the corresponding angles are congruent and the corresponding sides are proportional, then the triangles zyx and wvu are considered similar (denoted by ~).
Therefore, in order for zyx ~ wvu to be correct, the congruence of corresponding angles and the proportionality of corresponding sides must hold true.
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Please help if you can
1) The lower limit of the confidence Interval is: 1489.77.
The upper limit of the confidence Interval is: 1530.23
2) The lower limit of the confidence Interval is: 1478.32
The upper limit of the confidence Interval is: 15411.68
How to find the confidence Interval?The formula to find the confidence interval is:
CI = x' ± z(σ/√n)
where:
CI is confidence interval
x' is sample mean
z is z-score at confidence level
σ is standard deviation
n is sample size
1) The parameters are:
σ = $234
x' = $1510
n = 362
z at 90% CL = 1.645
Thus:
CI = 1510 ± 1.645((234/√362)
CI = 1510 ± 20.23
CI = (1489.77, 1530.23)
2) The parameters are:
σ = $234
x' = $1510
n = 362
z at 99% CL = 2.576
Thus:
CI = 1510 ± 2.576((234/√362)
CI = 1510 ± 31.68
CI = (1478.32, 15411.68)
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Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
Which is less: (-25) + 12 or 40 + (-63)? Show your work.
The first expression
(-25) + 12
open the parentheses
-25 +12
= - 13
for the second expression
40 + (-63)
in mathematics
- x + = -
40 - 63
= -23
from the two results
-13 and -23
-13 is greater than -23, therefore -23 is less or 40 + (-63)
answer: 40 + (-63) is less
How do you find x?(20x+5) + (24x-1) = 180
We have the following equation given:
\((20x+5)+(24x-1)=\text{ 180}\)We can aggrupate similar terms in the left of the equation and we got:
\((20x+24x)\text{ +(5}-1\text{)= 180}\)And solving we got:
\(44x\text{ = 180}-4=\text{ 176}\)And if we divide both sides by 44 we got:
\(x\text{= }\frac{176}{44}=\text{ 4}\)What is the value of x in the quadrilateral below?L3.rºM95°K(x+25)°80°N35404550
Given:
The figure shown is a trapezium.
By the property of angles of trapezium,
The sum of angles in the quadrilateral is 360 degrees.
Therefore,
\(\begin{gathered} 3x+(x+25)+95+80=360 \\ 4x+25=360-80-95 \\ 4x=160 \\ x=40 \end{gathered}\)Hence, x= 40
A book sold 34,500 copies in its first month of release. Suppose this represents 9.8% of the number of copies sold to date. How many copies have been sold to
date?
Round your answer to the nearest whole number.
Answer: If 34,500 copies sold in the first month of release represent 9.8% of the number of copies sold to date, we can use this information to find the total number of copies sold to date. We can set up the equation as:
(34,500 copies) / (9.8%) = (Total number of copies sold to date)
To solve for the total number of copies sold to date, we can cross-multiply and divide by 0.098:
(34,500 copies) * (100%) / (9.8%) = (Total number of copies sold to date)
(34,500 copies) * (100/9.8) = (Total number of copies sold to date)
This simplifies to:
(34,500 copies) * 10.20408163 = (Total number of copies sold to date)
Total number of copies sold to date = 353878.163.
Rounding the answer to the nearest whole number we get:
Total number of copies sold to date = 353878.
So the book has sold 353878 copies to date.
Step-by-step explanation:
352,041
Take 34,500 and divide it be 9.8.
Next, multiply it by 100.
not sure if this is the answer
the stemplot below to answer the following questions.
Stem Leaf
9.5 23556
9.6 689
9.7 246
9.8 001557
Your answers should be exact numerical values.
What is the minimum (smallest) data value?
What is the maximum (largest) data value?
What data value shows up twice for the stem 9.5?
The minimum (smallest) data value is 9.8.
The maximum (largest) data value is 9.89.
The data value that shows up twice for the stem 9.5 is 9.55.
To analyze the stemplot provided, we can identify the minimum and maximum data values, as well as determine which data value shows up twice for the stem 9.5.
Looking at the stemplot:
Stem | Leaf
9.5 | 23556
9.6 | 689
9.7 | 246
9.8 | 001557
To find the minimum data value, we look for the smallest leaf value. In this case, the smallest leaf value is 0. The stem for this leaf value is 9.8. Therefore, the minimum data value is 9.8.
To find the maximum data value, we look for the largest leaf value. In this case, the largest leaf value is 9. The stem for this leaf value is 9.8. Therefore, the maximum data value is 9.89.
To determine which data value shows up twice for the stem 9.5, we examine the corresponding leaves for that stem. In this case, the leaves for the stem 9.5 are 2, 3, 5, 5, and 6. We can see that the leaf value 5 appears twice. Therefore, the data value that shows up twice for the stem 9.5 is 9.55.
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What is an equation of the line that is parallel to y = 9 – 5x and passes through (0, 8)?
Answer:
y = 8 - 5x
Step-by-step explanation:
both equations shares the same gradient as they are parallel
from y= 9-5x, the gradient is -5
subst x = 0, y=8, and m= -5 into the y = mx + c to find the value of c
8 = (-5)(0) + c
c= 8
therefore the eqn is y = 8 - 5x
Somebody help me with this
20 points
Exac
Two
If BD = 2.8, what is CP? Round
your answer to the nearest tenth. Write NA if
there is not enough information given.
RN=
Con
Diac
The shape represents an isosceles trapezoid
The value of CP is 1.1 units
How to calculate the length of CPThe given parameters are:
Length BD =2.8Length AP = 1.7Angle ADB = 37 degreesAngle BDC = 34 degreesThe shape is an isosceles trapezoidThe diagonals of an isosceles trapezoid are congruent.
This means that:
\(CA = BD = 2.8\)
Also, we have:
\(CA = CP + AP\)
Substitute values for CA and AP
\(CP + 1.7 = 2.8\)
Subtract 1.7 from both sides
\(CP = 1.1\)
Hence, the value of CP is 1.1 units
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A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°. What is the angle between the ground and steepest slope on the real rollercoaster?
The angle between the ground and the steepest slope on the real rollercoaster is approximately 89.998°.
A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°.What is the angle between the ground and the steepest slope on the real rollercoaster?
To determine the angle between the ground and the steepest slope on the real rollercoaster, you need to consider the scale of the model rollercoaster.To find the real rollercoaster angle, you should use a scale factor that relates the model rollercoaster to the real one.
The scale factor should multiply the model angle to obtain the real one. Since the scale factor relates the model length to the real length, it should relate the horizontal distance and the vertical height.
The horizontal and vertical lengths are in a ratio of 32:1 for the model. This means that for every 32 units in the model, there is one unit in the real rollercoaster. Therefore, we can say that the horizontal length of the real rollercoaster is 32 times the horizontal length of the model rollercoaster.
That is:h(real) = 32h(model)Similarly, the vertical height of the real rollercoaster is 32 times the vertical height of the model rollercoaster. That is:v(real) = 32v(model)
The tangent of an angle equals the vertical height divided by the horizontal distance. Therefore, the tangent of the real angle equals the tangent of the model angle times the scale factor.
That is:tanθ(real) = 32tanθ(model)By substitution,θ(real) = arctan(32tanθ(model))For the given model angle of 110°,
the corresponding real angle is:θ(real) = arctan(32tan110°)θ(real) = arctan(32(-2.74747741945462))θ(real) = arctan(-87.91927694142864)θ(real) ≈ -89.998°
The negative sign indicates that the angle is measured below the horizontal line.
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This figure is made up of a rectangle and parallelogram. What is the area of this figure.
Answer:
area of the parallelogram=6
area of the rectangle=20
total area=26 square units
Charlin got 15 questions correct on her exam and scored a 75%. How many (total) questions were on the exam?
Answer:
There were 20 total questions.
Step-by-step explanation:
\(75\% = 0.75 = \frac{3}{4} \\ \frac{15}{ \frac{3}{4} } = \frac{15(4)}{3} = \frac{5 \times 3 \times 4}{3} = 5 \times 4 = 20\)
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Answer:
the anser is d
Step-by-step explanation:
Answer:
b) 7x² - 12x√14 + 72
Step-by-step explanation:
Let's solve the problem,
→ (x√7 - 3√8)(x√7 - 3√8)
→ (x√7 - 3√8)²
→ 7x² - 12x√14 + 72
Hence, option (b) is correct.
Translate each of the following English statements into logical expressions. The domain of discourse is the set of all real numbers.
(a) There are two numbers whose ratio is less than 1.
(b) The reciprocal of every positive number is also positive.
(c) There are two numbers whose sum is equal to their product.
(d) The ratio of every two positive numbers is also positive.
(e) The reciprocal of every positive number less than one is greater than one.
(f) There is no smallest number.
(g) Every number besides 0 has a multiplicative inverse.
(h) Every number besides 0 has a unique multiplicative inverse.
Answer:
A) З x,y : ( x/y < 1, y/x < 1 )
B) ∀ Y : ( Y > 0 = 1/Y > 0 )
C) з x,y : ( x+y = xy )
D) ∀ x,y : [ ( x>0 ) ∧( y > 0 ) = (( x/y > 0 ) ∧ ( y/x > 0 ))
E ) ∀ y : [ ( y > 0 ) ∧ ( y < 1) = ( 1 / y > 1 )
F) n ( ( з x ∀ y ( x <y ) )
G) ∀x (( x ≠ 0 ) = ( зy ( xy = 1 ) ))
H) ∀x ( (x≠0) = ( з! y (xy = 1))
Step-by-step explanation:
since the domain of discourse is a set of all real numbers the logical expressions of the English statements are expressed with respect to real number:
A) З x,y : ( x/y < 1, y/x < 1 )
B) ∀ Y : ( Y > 0 = 1/Y > 0 )
C) з x,y : ( x+y = xy )
D) ∀ x,y : [ ( x>0 ) ∧( y > 0 ) = (( x/y > 0 ) ∧ ( y/x > 0 ))
E ) ∀ y : [ ( y > 0 ) ∧ ( y < 1) = ( 1 / y > 1 )
F) n ( ( з x ∀ y ( x <y ) )
G) ∀x (( x ≠ 0 ) = ( зy ( xy = 1 ) ))
H) ∀x ( (x≠0) = ( з! y (xy = 1))
In translating English written expressions to logical expressions, we have to know the domain of the discourse. The domain of discourse can be said to be a set of all real numbers that the logical expressions of the English statements are expressed with respect to their real numbers. And as such, we arrive at each of this.
A) З x,y : ( x/y < 1, y/x < 1 )
B) ∀ Y : ( Y > 0 = 1/Y > 0 )
C) з x,y : ( x+y = xy )
D) ∀ x,y : [ ( x>0 ) ∧( y > 0 ) = (( x/y > 0 ) ∧ ( y/x > 0 ))
E ) ∀ y : [ ( y > 0 ) ∧ ( y < 1) = ( 1 / y > 1 )
F) n ( ( з x ∀ y ( x <y ) )
G) ∀x (( x ≠ 0 ) = ( зy ( xy = 1 ) ))
H) ∀x ( (x≠0) = ( з! y (xy = 1))
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Find f(0) for the
piece-wise function.
f(x) =
if x ≤ 0
x+1 if x>0
X
f(0) = [?]
\(f(x)=x\) for \(x\leq0\), therfore \(f(0)=0\).
the first domain is true for f(0) so we substitute value of x in the first function
\(f(x) = x \\ f(0) = 0\)
What is the value of x?
(5x - 5)°
8x
(6x - 5)
The value of x in the triangle is 10
What is sum of angle in a triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted by triangle ABC.
The sum of the three angles in a triangle is 180°.
Therefore
(5x - 5)° + 8x + (6x - 5) =180
5x-5+8x+6x-5 = 180
collect like terms
5x+8x+6x-5-5 = 180
19x = 180+10
19x = 190
divide both sides by 19
x = 190/19
x= 10
therefore the value of x is 10
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