Answer:
2400 words
Step-by-step explanation:
First choose the first letter. You have 5 choices of consonant for this.
Next choose the last letter. You have 4 remaining consonants for this.
Now you have 5 remaining letters which can be placed in any order.
So the answer will be:
5⋅4⋅5!
20⋅120
2400
expression equivlant (x+5)^2
Answer:
(x+5) (x+5)
Step-by-step explanation:
it's just (x+5)^2 twice
2. Find the value of x and y rounded to the nearest tenth.
x
34
45°
30°
a.
x = 24.0, y = 46.4
c.
x = 48.1, y = 139.3
d. x = 48.1, y = 46.4
b. x = 24.0, y = 139.3
Using relations in a right triangle, it is found that the values of x and y are given by: x = 24, y = 46.4, given by option a.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.First, we start with the vertical line h that divides y, that is opposite to an angle of 30º, with hypotenuse 34, hence:
sin(30º) = h/34
0.5 = h/34
h = 17.
Then, h is opposite to an angle of 45º, while the hypotenuse is x, hence:
[tex]\sin{45^\circ} = \frac{17}{x}[/tex]
[tex]x = \frac{17}{\sin{45^\circ}}[/tex]
x = 24.
y is divided into two segments.
The first is the adjacent to the angle of 30º, while the hypotenuse is 34.The second is adjacent to the angle of 45º, while the hypotenuse is 24.Then:
[tex]\cos{30^\circ} = \frac{y_1}{34}[/tex]
[tex]y_1 = 34\cos{30^\circ} = 29.4[/tex]
[tex]\cos{45^\circ} = \frac{y_2}{24}[/tex]
[tex]y_2 = 24\cos{45^\circ} = 17[/tex]
Then, the value of y is given by:
[tex]y = y_1 + y_2 = 29.4 + 17 = 46.4[/tex].
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K, L, and M are points on the circle. KS is a tangent to the circle at K. KM is a diameter and triangle KLM is isosceles. Find the value of z.
Using the circle theorems, the value of z is 45
Circle GeometryFrom the question, we are to determine the value of z
From the given information,
KM is a diameter
∴ ∠KLM = 90° (Angle in a semicircle)
Also, ΔKLM is isosceles
∴ ∠KML = ∠MKL (Base angles of an isosceles triangle)
Then,
∠KML + ∠MKL + ∠KLM = 180° (Sum of angles in a triangle)
2× ∠KML + 90° = 180°
2× ∠KML = 180° - 90°
2× ∠KML = 90°
∠KML = 90°/2
∠KML = 45°
Now, we can observe that
z° = ∠KML (Angles in alternate segment)
But,
∠KML = 45°
∴ z = 45
Hence, the value of z is 45
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During ‘Bob a job week’ a Boy Scout decided to earn money by cleaning shoes.It takes him 2 1/2 minutes to clean one pair.At one house he was given 12 pairs to clean.How long did it Take him to complete the task?
Simplify -b/2a where a =-8 and b =-1
The correct value of this algebraic expression is -1/16
Given the expression, [tex]\large \sf \dfrac{-b}{2a}[/tex], let's just: change the letters to the numbers and then perform the given operations.
According to the rules of signals, we will have to:*Equal signs will be positive ⇒ (-) (-)= + & (+) (+) = +
*Different signs will be negative ⇒ (-) (+) = - & (+) (-) = -
[tex]\\\large \sf \dfrac{-b}{2a} , \ a=-8 \ , \ b=-1[/tex]
[tex]\large \sf \dfrac{-(-1)}{2 \cdot (-8)}[/tex]
[tex]\large \sf \dfrac{1}{2 \cdot (-8)}[/tex]
[tex]\large \sf \dfrac{1}{-16}[/tex]
[tex]\blue{\boxed{\large \sf -\dfrac{1}{16} }}\\[/tex]
Therefore, the final answer to this simplification will be -1/16
The account balance on april 1st is $50.51. on april 15th a payment of $15.00 is made. on april 25th a purchase of $19.27 is made. the annual rate is 18%. what is the finance charge using the previous balance method? $ what is the new balance? $
The finance charge will be $ 0.76. Then the new balance will be $ 55.54.
What is a finance charge?Finance costs are paid to the provider in exchange for supplying cash or granting the loan.
The account balance on April 1st is $50.51.
On April 15th payment of $15.00 is made.
On April 25th a purchase of $19.27 is made.
The annual rate is 18%.
Then the finance charge will be
⇒ $ 50.51 x 0.18 / 12
⇒ $ 0.76
Then the new balance will be
New balance = $ 50.51 - $ 15 + $ 19.27 + $ 0.76
New balance = $ 55.54
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Identify the lateral area and surface area of a regular triangular pyramid with base edge length 6 cm and slant height 13 cm.
The lateral area is 117 square centimeters and the surface area is 292.72 square centimeters
How to determine the lateral area?The given parameters are:
Base length (b) = 6Slant height (l) = 13The lateral area is calculated using:
Lateral = 0.5 * (Perimeter of base) * Slant height
This gives
Lateral = 0.5 * (3 * 6) * 13
Evaluate
Lateral = 117
Hence, the lateral area is 117 square centimeters
How to determine the surface area?The surface area is calculated using:
Surface = l²√3
This gives
Surface = 13² * √3
Evaluate
Surface = 292.72
Hence, the surface area is 292.72 square centimeters
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Answer:
L = 117 cm2 ; S = 132.6 cm2
Step-by-step explanation:
Substitute the known value of the base edge length s=6 cm into the formula for the perimeter of the regular triangle, P=3s.
P=3(6)=18
Therefore, the perimeter of the regular triangle is 18 cm.
Substitute the known values of the perimeter P=18 cm and the slant height l=13 cm into the formula for the lateral area of a regular pyramid, L=1/2Pl.
L=1/2(18)(13)=117
Therefore, the lateral area of the pyramid is 117 cm2.
The surface area of a regular pyramid with lateral area L and base area B is S=L+B, or S=1/2Pl+B.
The base of the regular triangular pyramid is the equilateral triangle. The area of the triangle with the base b and the height h is B=1/2bh.
proving trigonometric identities
2(cosx sinx-sinx cos2x)/sin2x =secx
This is not an identity.
[tex]\dfrac{2(\cos(x)\sin(x) - \sin(x)\cos(2x))}{\sin(2x)} \neq \sec(x)[/tex]
Check x = π/4, for which we have cos(π/4) = sin(π/4) = 1/√2. Together with sin(2•π/4) = sin(π/2) = 1 and cos(2•π/4) = cos(π/2) = 0, the left side becomes 1, while sec(π/4) = 1/cos(π/4) = √2.
Keeping the left side unchanged, the correct identity would be
[tex]\dfrac{2(\cos(x)\sin(x) - \sin(x)\cos(2x))}{\sin(2x)} = -2\cos(x) + 1 + \sec(x)[/tex]
To show this, recall
• sin(2x) = 2 sin(x) cos(x)
• cos(2x) = cos²(x) - sin²(x)
• cos²(x) + sin²(x) = 1
Then we have
[tex]\dfrac{2(\cos(x)\sin(x) - \sin(x)\cos(2x))}{\sin(2x)} = \dfrac{2\cos(x)\sin(x) - 2\sin(x)\cos(2x)}{\sin(2x)} \\\\ = \dfrac{\sin(2x) - 2\sin(x)\cos(2x)}{\sin(2x)} \\\\ = 1 - \dfrac{2\sin(x)\cos(2x)}{\sin(2x)} \\\\ = 1 - \dfrac{2\sin(x)(\cos^2(x) - \sin^2(x))}{2 \sin(x)\cos(x)} \\\\ = 1 - \dfrac{\cos^2(x) - \sin^2(x)}{\cos(x)} \\\\ = 1 - \cos(x) + \dfrac{\sin^2(x)}{\cos(x)} \\\\ = 1 - \cos(x) + \dfrac{1 - \cos^2(x)}{\cos(x)} \\\\ = 1 - \cos(x) + \sec(x) - \cos(x) \\\\ = -2\cos(x) + 1 + \sec(x)[/tex]
A box contains 50 batteries, of which 10 are dead and 5 are weak. Suppose you select batteries at random from the box and set them aside for recycling if they are dead or weak. If the first battery you select is dead and the second one is weak, what is the probability that the next battery you select will be weak?
For his phone service, Chris pays a monthly fee of $25, and he pays an additional $0.06 per minute of use. The least he has been charged in a month is $86.74.
What are the possible numbers of minutes he has used his phone in a month?
Use M for the number of minutes, and solve your inequality for M.
Answer:
1029 minutes or 17.15 hours
Step-by-step explanation:
25+0.06M=86.74
0.06M=61.74
M=61.74/0.06=1029
Choose the correct alternative.
the earnings of ahmed and bekhit are in the ratio 3:7 and that of bekhit and saeed is 4:9 and that of mohammed and saeed is 7:6. if the sum of the earnings of ahmed, bekhit, saeed, and mohammed is aed 52,950, then what are the earnings of mohammed?
aed 21,050
aed23,050
aed 24,050
aed33,050
Using a system of equations, it is found that the earnings of Mohammed are given by: 18,212 aed.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
Variable x: Earnings of Ahmed.Variable y: Earnings of Bekhit.Variable z: Earnings of Saeed.Variable w: Earnings of Mohammed.The earnings of ahmed and bekhit are in the ratio 3:7, hence:
[tex]\frac{x}{y} = \frac{3}{7}[/tex]
[tex]3y = 7x[/tex]
[tex]y = \frac{7x}{3}[/tex]
That of bekhit and saeed is 4:9, hence:
[tex]\frac{y}{z} = \frac{4}{9}[/tex]
[tex]4z = 9y[/tex]
[tex]z = \frac{9y}{4}[/tex]
[tex]z = \frac{63x}{12}[/tex]
The ratio of mohammed and saeed is 7:6, hence:
[tex]\frac{z}{w} = \frac{7}{6}[/tex]
[tex]7w = 6z[/tex]
[tex]w = \frac{6z}{7}[/tex]
[tex]w = \frac{378x}{84}[/tex]
The sum is of 52950, hence:
[tex]x + y + z + w = 52950[/tex]
[tex]x + \frac{7x}{3} + \frac{63x}{12} + \frac{378x}{84} = 52950[/tex]
[tex]1099x = 52950 \times 84[/tex]
[tex]x = \frac{52950 \times 84}{1099}[/tex]
[tex]x = 4047[/tex]
Hence, Mohammed earnings in aed are given as follows:
[tex]w = \frac{378 \times 4047}{84} = 18212[/tex]
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A sequence has a second term of 1 and a common difference of -3.
The fifth term of the sequence is
10
-5
-11
-8
Answer:
-11
Step-by-step explanation:
I don't know how to type Numerical using a cellphone
Which equation represents an inverse variation?
O y = 2x
O y= f
0 y=
4
5
O y = -5x
Answer:
its y=2x so yaa thats ittt
Write down the next term in each of these sequences. a) 19, 15, 11, 7, 3,
Answer:
-1
Step-by-step explanation:
Find the difference of each sequence
19 - 15 = 4
15 - 11 = 4
11 - 7 = 4
7- 3 = 4
3 - ? = 4
Subtract 4 from the 3
3 - 4 = -1
Therefore, the next term is -1
which of the following is true for the relation f(x)-x^2+8
Answer: A
Step-By-Step Explanation: if n is greater than or equal to 2 is an add integer then the domain of: f(x)-x^2+8 is the solution to the inequality 2+8 greater than or equal to 0. which of the following statements is true?
HELP THIS IS URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :((((((((((((((((
Answer:
1)acute triangle
2) right angle
3) obtuse triangle
Step-by-step explanation:
please mark me as brainlest
Answer:
1. Acute 2. Obtuse 3. Right
Step-by-step explanation:
Obtuse Triangle Definition
An obtuse triangle is one that has an angle greater than 90°. Because all the angles in a triangle add up to 180°, the other two angles have to be acute (less than 90°). It's impossible for a triangle to have more than one obtuse angle.
Acute Triangle Definition
An acute triangle is defined as a triangle in which all of the angles are less than 90°. In other words, all of the angles in an acute triangle are acute.
A Right Triangle has a right angle
Hope this helps.
Question 2(Multiple Choice Worth 2 points)
(04.03 MC)
4x-7
Given f(x) =
8x+8
what is the end behavior of the function?
The end behavior is that as x approaches positive infinity, f(x) approaches positive infinity and as x approaches negative infinity, f(x) approaches negative infinity
How to determine the end behavior?The function is given as:
f(x) = 8x+8
The above function is a linear function.
A linear function is represented as:
f(x) = mx + b
This means that the slope of f(x) is 8 (a positive number)
For a linear function with a positive slope, the end behavior is that:
As x approaches positive infinity, f(x) approaches positive infinity and as x approaches negative infinity, f(x) approaches negative infinity
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To properly use the Addition Property of Equality what number would have to be added in the equation, 14 = x - 6?
A -14
B 14
C -6
D 6
Addition Property of Equality is basically a complex way of saying add the same number to both sides. In this problem we are trying to isolate x for it to be by itself so we must deal with -6. Since we have -6 on one side we must use the "Addition Property of Equality" to add 6 to both sides which would cancel out the -6 and add 6 to 14.
Therefore, the option that best fits the description on what number we would have to use to get added in the equation would be option D, 6.
when the positive integer x is divided by 5, the remainder is 3. what is the remainder when X +19 is divided by five
Answer:
_4
Step-by-step explanation:
x+19/5=3 cross multiply
x+19=3*5
x+19=15
x=15-19
x=-4
The remainder when (x + 19) is divided by 5 is 2.
If the positive integer x has a remainder of 3 when divided by 5, it can be represented as:
x = 5a + 3, where "a" is a non-negative integer.
Now, let's consider the expression (x + 19) and determine the remainder when it is divided by 5:
x + 19 = (5a + 3) + 19
= 5a + 22
When we divide 5a + 22 by 5, we find:
(5a + 22) = 5(a + 4) + 2
Therefore, the remainder when (x + 19) is divided by 5 is 2.
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John travelled 450km using 31 litres of petrol. (km/litre)
Answer:
its SUMMER wth
Step-by-step explanation:
Its time too TURN UPPP!
Answer:
450/31=14.51km/litre
Fwam surveyed 540 of the students in his school about their favorite color. students could choose between red and blue. 55% said their favorite color was blue. how many students' favorite color was red?
Answer:
243 students' favorite color is red
Step-by-step explanation:
if 55% of the students said their favorite color was blue, then 45% chose that red was their favorite color
we can get 45% of 540 using a cross-multiplication equation
45% is 45/100
45/100 is to ?/540
the (?) represents the value of students who chose red as their favorite color (we do not know this but we can figure it out using cross-multiplication)
45 times 540 is 24300
24300/100 = 243.
Give brainliest, please!
hope this helps :)
The measure of angle CDE is
degrees.
CDE = CDB + BDA + ADE
CDE = 42° + 37° + 20°
CDE = 99°
hope it helps...!!!
Answer:99 degrees
Step-by-step explanation:
Angle CDB + Angle BDA + Angle ADE= Angle CDE
42+37+20=99
What is negative 8 times 9 times negative 5 minus negative 14
(-8 * 9 * -5 )- -14
360 - - 14 = 360 + 14 = 374
Use the distributive property to write an equivalent expression to:
3 over 4 minus 1 half left parenthesis 4 x minus 1 half right parenthesis
Answer:
11/4
Step-by-step explanation:
The question in math symbols 3/4 - 1/2(4*-1)
By Pemdas (order of operations) we start with the parenthesis
3/4 - 1/2(4*-1) = 3/4 - 1/2(-4)
Because there are parenthesis next to a number, this is a multiplication
3/4 - 1/2(-4) = 3/4 - (-2)
The double negative can be converted into a positive
3/4 - (-2) = 3/4 + 2
Then we can convert the 2 into a fraction of fourths
3/4 + 2 = 3/4 + 8/4
Now we just add the numerators and keep the denominator
3/4 + 8/4 = 11/4
Which of the following is the formula for the volume of a cube? a. s3 b. s2 c. π r2 d. π r3
Answer:
s³Step-by-step explanation:
Which of the following is the formula for the volume of a cube?
a. s³
b. s²
c. π r²
d. π r³
V = s³
Find the indicated conditional probability
using the following two-way table:
Grade
Drive to school Take the bus
Walk
Sophomore
2
25
3
Junior
13
20
2
Senior
25
5
5
P(Take the bus | Junior) = [?]
Round to the nearest hundredth.
Using it's concept, it is found that the desired probability is given by:
P(Take the bus | Junior) = 0.5714 = 57.14%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that out of the 13 + 20 + 2 = 35 Junior students, 20 take the bus, hence the probability is given by:
P(Take the bus | Junior) = 20/35 = 0.5714 = 57.14%.
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i need the answer asap
Answer:
It b(4) because if you time 3 times 4 it equals 15.
Step-by-step explanation:
What is Parabola?
What is the transformation of parabolas?
Answer:
What is Parabola:
a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape.
What is the transformation of parabolas?
The function y=x2+b has a graph which simply looks like the standard parabola with the vertex shifted b units along the y-axis. Thus the vertex is located at (0,b). If b is positive, then the parabola moves upwards and, if b is negative, it moves downwards. Similarly, we can translate the parabola horizontally
Step-by-step explanation:
i need help on this may you help
Answer:
should be 63
Step-by-step explanation:
HELP ASAP ILL MAKE YOU THE BRAINIEST
fInd the value of x
Step-by-step explanation:
cos x = 2/6.5 = 0.3
arccos 0.3 = 72.54 degree