The trigonometric ratio, cos E of the right triangle is 5 / 13.
How to find the angles of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
A right triangle is a triangle that has one of its angles as 90 degrees.
The sides and angles of a right triangle can be found using trigonometric ratios. The sides of a right triangle base on its sides are as follows;
opposite sideadjacent sidehypotenuse sideTherefore,
cos E = adjacent / hypotenuse
Hence,
let's find the hypotenuse side using Pythagoras theorem,
24² + 10² = c²
c = √576 + 100
c = √676
c = 26
cos E = 10 / 26
Therefore,
cos E = 5 / 13
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please help! i’ve been stuck on this question for the longest.
Answer:
57%
Step-by-step explanation:
Answer:
I think the first one 57%
Step-by-step explanation:
hope this helps sorry if it doesn't have a good rest of your afternoon/day :) ❤
Write the inequality: A number less than three is greater than five.
Thank You !!!!!
Answer:
n - 3 > 5
Number = "n"
Less than = (minus sign) -
Greater than = >
Which terminating decimal is equivalent to the fraction 5/8?
Answer:
.625
Step-by-step explanation:
The decimal .625 is equivalent to 5/8 because when you divide .50 by 8 you get .625 and it is terminating because it does not repeat.
Answer:
0.625
Step-by-step explanation:
Given zero body forces, determine whether the following stress distribution can exist for a body in equilibrium: sigma x = - 2c1xy, sigma y = c2z2, sigma z = 0 tau xy = c1(c2 - y2) + c3xz, tau xz = -c3y, tau yz = 0
Stress distribution can exist for a body in equilibrium if sigma x = - 2c1xy, sigma y = c2z2, sigma z = 0 tau xy = c1(c2 - y2) + c3xz, tau xz = -c3y, tau yz = 0.
Stress equilibrium specifies the pressure state of a body for a given external force field or body force distribution. The principle of stress equilibrium implies that the sum of the forces acting on the free body in equilibrium is zero, as well as the sum of the moments equal to zero.σx is the normal stress in the x direction that arises from the x-direction force acting on the plane. σy is the normal stress in the y direction that arises from the y-direction force acting on the plane.
σz is the normal stress in the z direction that arises from the z-direction force acting on the plane.τxy is the shear stress that arises from forces acting parallel to the xy plane. τxz is the shear stress that arises from forces acting parallel to the xz plane.τyz is the shear stress that arises from forces acting parallel to the yz plane.
Since there are no body forces acting on the object, it must be in equilibrium. The stress tensor is assumed to be symmetric, and the shear stresses must be equal. This is due to the plane orientation being perpendicular to the y-axis, which eliminates the need for a shear stress. As a result, we conclude that this stress distribution can exist for a body in equilibrium.
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Select all situations which involve finding the volume of a figure.
A- Stacking boxes of pencils in a cabinet.
B- Filling a cone with ice cream.
C - Painting a water tank.
D- Pouring water into a container.
E- Covering a pile of rocks with a tarp.
F- Selecting the correct pan to hold the cake batter.
(it’s a muti answer answer thing)
Answer:
Its a b d and f
Step-by-step explanation:
I hope I helped
The volume of this cylinder is 944.11008 cubic centimeters. What is the height?
Answer:
h = 5.80
\(V = \pi r^2h\)
\(h = \frac{V}{\pi r^2} = \frac{944.11}{\pi \cdot 7.2^2} = 5.79\) ≈ 5.80
Find the value of AB.
Step-by-step explanation:
Since all side lengths of smaller squares are equal, we have
\(3x+4=4x-1\)
\(x=5\)
Since length of AB is twice of the side length of smaller squares,
\(\bar{AB}=2(3x+4)=2(3\cdot5+4)=38\)
Answer:
AB=38
SEE THE IMAGE FOR SOLUTION
Write the equation of a line that passes the point (-6,9)and is perpendicular to a line that passes through the points (-2,1) and (6,7).
Answer:
hope you like my answer its-11
15x+23+6-8x ? what is the answer
Answer:
7x+29
Step-by-step explanation:
Six less than the product of a number n and
1
is no more than 97.
Answer:
n ≤103
Step-by-step explanation:
The product of a number n and 1 is expressed as n
Six less than the number is n - 6
If the result is no more than 97, then;
n - 6 ≤ 97
n ≤ 97 + 6
n ≤103
Hence the value of n is no more than 103
a line crosses 2 parellel linees creating angle a whhic measue 50 degrees how many degrees does angle b have?
Answer:
The other angles measure 50° or 130° depending on whether they are vertical or adjacent, respectively, to the 50° angle.
Step-by-step explanation:
A line crosses another line.
One angle created by the two lines measures 50°.
The other angle measure is 180° - 50° = 130°.
The angles created by the lines measure 50° or 130°.
10 POINTS!!
please help, I've been on this question for 2 days..
Determine the formula for the nth term of the following sequence: -6, -2, 12, 42, 94, 174, ...
Answer:
an=n^3-n^2-6
Step-by-step explanation:
What is the value of 43 ?
O 12
O 16
O 43
O 64
Answer:
64
Step-by-step explanation:
Answer: Your answer is 64 4 times 4 equals 16 then 16 times 4 equals 64 <3
Step-by-step explanation:
HEELPPPPPPPPPP AAAAAAAA
Answer:
X1= 3 pounds
2= 6 pounds
Step-by-step explanation:
Which of the following is a polynomial?
Ox2 + 2
01-1
7x7 - 2x-4 + 3
0 (x8–2)
(x-2+3)
Answer:
x^2 + 2
Step-by-step explanation:
can't have negative powers
Answer:
I think it's 7x7 - 2x-4 + 3
My question is in the picture
Answer:
1/2 of Ned = 20 + 10 + 1
1/2 of Ned = 30
1 Ned = 60
45/3 = 15, to check divide 45 by 3 to get 15.
48/4 = 12, to check divide 48 by 4 to get 12
Step-by-step explanation:
When looking at sides AC and CB, what is the included angle?
Options:
When looking at sides AC and CB, the included angle is angle ABC. The included angle is the angle between two given sides. In this particular question, we are given the sides AC and CB.
Here, we have a triangle ABC, and we are interested in the angle between sides AC and CB. This angle is opposite to the side AB. Therefore, this included angle is angle ABC. We can summarize this as follows: When we have two sides of a triangle, we can determine the included angle by finding the angle that lies between them. In the case of sides AC and CB, the included angle is the angle that is opposite to the third side of the triangle, AB.
Therefore, the included angle in this case is angle ABC.
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(Question is incomplete i answered what is included angle)
\sqrt{(1-(-1))^2(3-(-3))^2
thank you in advance
Answer:
Step-by-step explanation:
5-84854=^7463867^9% which leads to -2
Find the area of hexagon DEFGHI.
Step-by-step explanation:
Break it up into two trapezoids as shown
area = trap1 + trap2
= 2 * (7+3) / 2 + 3 * ( 7 + 3) / 2 = 10 + 15 = 25 units^2
PLEASE HELP
Which number best represents the slope of the graphed line?
Answer:
1/2
Step-by-step explanation:
pick a point on the graph where it hits the x and y line. Go up one unit and two units to the right. you hit another "point". you need to remember the formula rise over run (RISE/RUN). you rose 1 unit and ran 2 units. hence, the answer is 1/2
a polynomial p is given. p(x) = 2x3 − 15x2 24x 16, (a) Find all the real zeros of P. (Enter your answers as a repetitions.) X =
x = 4 and x = -1/2 are real zeros of the polynomial
To find all the real zeros of the polynomial p(x) = 2x³ - 15x² + 24x + 16, we can follow these steps:
Step 1: Identify potential rational zeros using the Rational Root Theorem.
The Rational Root Theorem states that any potential rational zeros will be of the form ±p/q, where p is a factor of the constant term (16) and q is a factor of the leading coefficient (2). In this case, the possible rational zeros are ±1, ±2, ±4, ±8, ±1/2, ±2/2 (±1), and ±4/2 (±2).
Step 2: Test each potential rational zero using synthetic division.
We can use synthetic division to test each potential rational zero. If the remainder is 0, the potential rational zero is a real zero of the polynomial.
Step 3: Check for any irrational zeros using the quadratic formula.
If we find a quadratic factor during synthetic division, we can use the quadratic formula to find any remaining irrational zeros.
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what sequence is 3,5,8,12
Answer:
+3,+2+3+4+2
Step-by-step explantion
so nowd it be 14
Which choice shows the coordinates of c’ if the trapezoid is reflected across the y-axis? on a coordinate plane, trapezoid a b c d has points (2, 1), (3, 5), (5, 3) and (3, 1). (â€"5, 3) (3, â€"5) (5, â€"3) (â€"3, 5)
The point (-5, 3) shows the coordinates of c(5, 3) if the trapezoid ABCD on a coordinate plane, with points (2, 1), (3, 5), (5, 3) and (3, 1), is reflected across the y-axis. So the option A is correct.
A graph will appear to be inverted or on the other side of an axis, such as the x axis, when it is mirrored along that axis.
If you look closer, you'll notice that it's symmetrical, meaning that each point is equally spaced from the axis of reflection and the axis of its reflection.
As a result, if you reflect a point (x, y) down the x axis, its x abscissa will remain the same while its y ordinates will negate.
So (x, y) becomes (x, -y).
Similar to this, the picture of a point at coordinates (x, y) along the y axis will be (-x, y)
Trapezium A B C D on a coordinate plane has points (2, 1), (3, 5), (5, 3), and (3, 1).
The following rule applies when a point is reflected across the y-axis:
(x, y) → (-x, y)
C(5, 3) = C'(-5, 3)
So the option A is correct.
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The complete question is:
Which choice shows the coordinates of c if the trapezoid ABCD on a coordinate plane, with points (2, 1), (3, 5), (5, 3) and (3, 1), is reflected across the y-axis?
A. (-5, 3)
B. (3, -5)
C. (5, -3)
D. (-3, 5)
Find the area of the surface generated when the given curve is revolved about the given axis. y=1/16(e^8x+e^−8x),
for
−3≤x≤3;
about the x-axis The surface area is
square units.
In this problem, the lower limit of integral is -3 and the upper limit of integration is 3.
We can use the formula for the surface area of a solid of revolution generated by a curve revolving around a given axis. The formula is S = 2π ∫ a b y dx, where a and b are the lower and upper limits of integration, and y is the height of the curve at x. In this problem, the lower limit of integration is -3 and the upper limit of integration is 3. Substituting y = 1/16(e^8x + e^-8x) into the equation gives S = 2π ∫ -3 3 (1/16(e^8x+e^-8x)) dx. Integral this expression gives S = 10512π.
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Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 20. Use the empirical rule to determine the followinWhat percentage of people has an IQ score greater than 120?
Answer:
Percentage of people with IQ greater than 120 is 84.134%
Step-by-step explanation:
First thing we do here is to calculate the
z-score
Mathematically;
z-score = (x-mean)/SD
here, x = 120, mean = 100 while SD = standard deviation = 20
z-score = (120-100)/20 = 20/20 = 1
The probability we want to calculate is;
P(x > 120) or P(z >1)
we proceed to use the standard score table to get this;
From the standard score table ;
P(z >1) = 0.84134
which is in percentage = 84.134%
Find b value
3(1.2b − 1) + 3.6 = 4.2
Answer: B = 1
Step-by-step explanation:
You want to get b alone, first, you will subtract 3.6. What you do on one side you do to the other
3(1.2b - 1) + 3.6 = 4.2
3(1.2b - 1) + 3.6 - 3.6 = 4.2 - 3.6
Since the 3 is multiplied, we will do the opposite to eliminate it, Divison. So divide each side by 3.
3(1.2b - 1) = 0.6
3(1.2b - 1)/3 = 0.6/3
Then we will add one to each side.
1.2b - 1 = 0.2
1.2b - 1 + 1 = 0.2 + 1
The last step is to divide each side by 1.2 to find b.
1.2b = 1.2
1.2b/1.2 = 1.2/1.2
b = 1
Which expression is equivalent to -14x + 28?
Answer:
B. 2x-3
Step-by-step explanation:
14 and 21 have a common factor which is 7 so divide both by 7 to get 2x-3.
On a spinner I have a 0.1% chance of getting a 5. How many times do I need to spin to get 5?
Answer:
\(\frac{1}{10} * \frac{1}{100} = \frac{1}{1000}\)
1000 times
Step-by-step explanation:
Answer:
0.1% = 1 spin then
100% = ( 100×1) ÷0.1 = 1000
we are using 100% because its a sure bet it will happen but not logically
the answer is 1000
Complete the formula to find the area of the triangle.
3 cm
4 cm
5 cm
Area = x base x height
= 1/2 (²) ue
Answer:
1/2(4)(3)Step-by-step explanation:
assuming = 1/2 (²) ue it means nothing, just put the base and height in the brackets
=1/2(4)(3)
solution:
1/2 × 4 × 3 =
2 × 3 = 6 cm²
Suppose Q and R are independent events. Find P(Q and R). P(Q)=0.37,P(R)=0.24
To find P(Q and R), we can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P(R) = 0.24P(Q and R) = P(Q) × P(R) = 0.37 × 0.24 = 0.0888.
Therefore, the probability of both Q and R occurring together is 0.0888. Long Answer:Independent events:In probability theory, two events are independent if the occurrence of one does not affect the probability of the occurrence of the other. Two events A and B are independent if the probability of A and B occurring together is equal to the product of the probabilities of A and B occurring separately. Mathematically,P(A and B) = P(A) × P(B) Suppose Q and R are independent events. Find P(Q and R).
We can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P
(R) = 0.24
P(Q and R) = P(Q) × P(R)
= 0.37 × 0.24
= 0.0888
Therefore, the probability of both Q and R occurring together is 0.0888. Hence, P(Q and R) = 0.0888. In probability theory, independent events are the events that are not dependent on each other. It means the probability of one event occurring does not affect the probability of the other event occurring.
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