Answer:
x=5
Step-by-step explanation:
This is because the inscribed angle of the circle or angle EFG is equal to the twice of the degree of the arc EG. Therefore, we can create this equation:
12+40=2(8x+10)
12+40=16x+20
20=4x
x=5
find the area of rectangular ground of length 25 square root 3 and breadth 20 square root 6 meter
Answer:
500 square root and 18 metres
Can you help me or at least guide me through writing a proof on this?
I'm a bit stuck
Answer:basically if what they want you to prove is correct say it is correct and why is it correct
Step-by-step explanation:
a suit is on sale for 15% off. the sale price is $442. what is the regular price?
Answer:
520
Step-by-step explanation:
100% - 15% = 85%
85% of the original price is 442 dollars
100% = x
solve for x:
x * 0.85 = 442
x= 520 dollars
regular price is 520 dollars.
A salesman receives a salary of 250 a month. To this is added 5/4% of the sales that he makes. what is his pay for a month in which he makes 1500 in sales.
Answer: $268.75
Step-by-step explanation:
First, find the amount he earned from his sales:
5/4% = 1.25% =0.01251500(0.0125) = $18.75
Next, add that to his monthly salary:
$250 + $18.75 = $268.75
what is the product of the prime factors of 24
Answer:
So the prime factorization of 24 is 24 = 2 · 2 · 2 · 3 = 23 · 3. A good way to check the result is to multiply it out and make sure the product is 24.
Step-by-step explanation:
Let f(x) = 4x - 5 and g(x) = 3x + 7. Find f(x) + g(x) and state its domain.
7x - 12; all real numbers
7x + 2; all real numbers
x + 2; all real numbers
X - 12; all real numbers
Answer:
2nd option
Step-by-step explanation:
f(x) + g(x)
= 4x - 5 + 3x + 7 ← collect like terms
= 7x + 2
domain is all real numbers
Six liters of paint will cover 50 square meters. How many square meters will nine liters cover?
Answer:
75 m²Step-by-step explanation:
Six liters of paint will cover 50 square meters.
6L ⇒ 50m²
then,
1L ⇒ 50/6 m²
9L ⇒ 50 × [tex]\frac{9}{6}[/tex] m²
⇒ 75 m²
What is the length of each side of a square if its area is 121 ft??
11 feet
12 feet
10 feet
30 feet
Answer:
11 feet
Step-by-step explanation:
Given,
Area of square ( a^2 ) = 121 ft
To find : Length of each side ( a ) = ?
Formula : -
Area of square = a^2
a^2 = 121
a = √121
a = 11 feet
Answer:
11 ft = side length
Step-by-step explanation:
The area of a square is found by
A = s^2
121 = s^2
Taking the square root of each side
sqrt(121) = sqrt(s^2)
11 = s
Solve using suitable properties. Also mention the names of the property used. -3/4 × 4/5 - 1/2 × 1/4 +4/5 × 7/5
Answer:
0.395
Step-by-step explanation:
We need to solve the given expression.
[tex]-\dfrac{3}{4}\times \dfrac{4}{5}-\dfrac{1}{2}\times\dfrac{1}{4}+\dfrac{4}{5}\times \dfrac{7}{5}[/tex]
We can also write it as :
[tex]-\dfrac{3}{4}\times \dfrac{4}{5}+\dfrac{4}{5}\times \dfrac{7}{5}-\dfrac{1}{2}\times\dfrac{1}{4}\\\\=\dfrac{4}{5}(\dfrac{-3}{4}+\dfrac{7}{5})-\dfrac{1}{2}\times\dfrac{1}{4}[/tex](Distributive property is used)
So,
[tex]=\dfrac{4}{5}\times \dfrac{13}{20}-\dfrac{1}{2}\times\dfrac{1}{4}\\\\=\dfrac{4}{5}\times \dfrac{13}{20}-\dfrac{1}{8}\\\\=\dfrac{13}{25}-\dfrac{1}{8}\\\\=0.395[/tex]
So, the value of the given expression is equal to 0.395.
If an interviewer did not properly follow skip patterns specified in a questionnaire, the ______________ step in data analysis would reveal the problem.
Answer:
validation
Step-by-step explanation:
A quantitative research can be defined as any research that is typically based on numerical values such as mathematical or statistical analysis of data gathered or collected from various sources e.g questionnaires, polls, surveys etc.
This ultimately implies that, a quantitative research uses closed-ended questions such as how many, how much, and the answers to these questions are mainly numerical in nature.
A questionnaire can be defined as a form that comprises of series of questions used as a means of gathering or obtaining data for a research or study.
Generally, if an interviewer fail to properly follow skip patterns specified in a questionnaire, the validation step in data analysis would reveal the problem.
During the validation stage, the data obtained are accessed to confirm whether or not they're authentic.
PLS HELP i just need the answer :,(((((
what is the equation of the quadratic graph with a focus of (5, −1) and a directrix of y = 1?
Answer:
check the picture below.
so the focus point is at 5, -1 and the directrix is above it, meaning is a vertical parabola, and is opening downwards, like in the picture.
keep in mind that the vertex is half-way between those two fellows, at a "p" distance from either, in this case 1 unit, since the parabola is opening downwards, "p" is negative then, or -1, and the vertex will be from 5, -1 up one unit, so 5,0.
let's write the whole numbers from 90 to 100 . Select the appropriate number to form the following sets . Then , write the type of sets .
A={ even number}
B={ odd number}
C={ X:X is a prime numbers}
D={ y:y is a composite number}
E={z:z is a square number}
F={ cube number}
G={ multiples of 7}
H={ X:X is divisible by 11}
A={ even number}
B={ odd number}
C={ X:X is a prime numbers}
D={ y:y is a composite number}
E={z:z is a square number}
F={ cube number}
G={ multiples of 7}
H={ X:X is divisible by 11}
꧁Aɴsᴡᴇʀ꧂AThe even numbers between 90 and 100 are: 90, 92, 94, 96, 98, 100B The odd numbers between 90 and 100 are: 91, 93, 95, 97, 99C The prime number between 90 and 100 is: 97DThe composite numbers between 90 and 100 are: 91, 92, 93, 94, 95, 96, 98 and 99.EThe square numbers between 90 and 100 are:90 = 8100
91 = 8281
92 = 8464
93 = 8649
94 = 8836
95 = 9025
96 = 9216
97 = 9409
98 = 9604
99 = 9801
100 = 10000
F The answer for this is on the attached picture above. Kindly look at it. The cube numbers between 90 and 100. GThe multiples of 7 between 90 and 100 are: 91 and 98HDivisible by 11 (between 90 and 100) is: 99
✩ ⁱ ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ✩
Answer:
A
The even numbers between 90 and 100 are: 90, 92, 94, 96, 98, 100
B
The odd numbers between 90 and 100 are: 91, 93, 95, 97, 99
C
The prime number between 90 and 100 is: 97
D
The composite numbers between 90 and 100 are: 91, 92, 93, 94, 95, 96, 98 and 99.
E
The square numbers between 90 and 100 are:
90 = 8100
91 = 8281
92 = 8464
93 = 8649
94 = 8836
95 = 9025
96 = 9216
97 = 9409
98 = 9604
99 = 9801
100 = 10000
F
The answer for this is on the attached picture above. Kindly look at it. The cube numbers between 90 and 100.
G
The multiples of 7 between 90 and 100 are: 91 and 98
H
Divisible by 11 (between 90 and 100) is: 99
Find the product. (Do not use spaces in your answer.)
d j · d k
Answer:
[tex]\displaystyle d^{j + k}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle d^j \cdot d^k[/tex]
Step 2: Find
Multiply [Exponential Rule - Multiplying]: [tex]\displaystyle d^j \cdot d^k = d^{j + k}[/tex]Answer:
[tex]\huge\boxed{d^j\cdot d^k=d^{j+k}}[/tex]
Step-by-step explanation:
Use the theorem:
[tex]a^n\cdot a^m=a^{n+m}[/tex]
Why? Look at this example:
[tex]2^3\cdot2^4=\underbrace{2\cdot2\cdot2}_{3}\cdot\underbrace{2\cdot2\cdot2\cdot2}_4=\underbrace{2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2}_{7}=2^7[/tex]
Therefore
[tex]d^j\cdot d^k=d^{j+k}[/tex]
The number 6 is a solution to which of the following inequalities?
X - 13 > 7
6x < -12
6x > 32
21 + x < 28
Answer:
21 + x < 28
Step-by-step explanation:
27 is in fact greater than 28 if you where to input 6 into the x spot, this is the only one that's a true expression.
At the time of her grandson's birth, a grandmother deposits $3000 in an account that pays 9.5% compounded monthly.
What will be the value of the account at the child's twenty-first birthday, assuming that no other deposits or withdrawals are made during this period?
Answer:
74820
Step-by-step explanation:
9.5% of 3000 is 285
there are 12 months in a year
so 12 times 21 equals 252
so 285 times 252 add 3000 equals 74820
Tamisha's shampoo bottle holds 1/2 bottle of shampoo.She used 5/6 of the bottle.How many gallons of shampoo has Tamisha used?
Answer:
5/12
Step-by-step explanation:
1/2 x 5/6 = 5/12
PLEASE SOMEONE HELP I need help ASAP!!!
Answer:
using the pythagoras theorem
Step-by-step explanation:
[tex] \sqrt{4 {}^{2} - ( \sqrt{7}) {}^{2} } = 3[/tex]
at pretend highschool there are 325 boys and 275 girls.
express the ratio of boys and girls
reduce to simplest form
Answer:
13:11
Step-by-step explanation:
325:275
If divided by 5 all through, you get 65:55, then by 5 again you get 13:11
Answer:
13/11 = 1.1818
Step-by-step explanation:
Boys/girls = 325/275 = 13/11 = 1 2/11 = 1.1818
I don't know what simplest form means.
10 y is directly proportional to the cube of x. Given that y = 1512 when x = 6, find the equation for the y in terms of x.
Answer:
[tex]{ \tt{y \: \alpha \: {x}^{3} }} \\ { \tt{y = k {x}^{3} }} \\ { \bf{k \: is \: a \: proportionality \: constant}} \\ { \tt{1512 = (k \times {6}^{3}) }} \\ { \tt{k = 7}} \\ { \boxed{ \bf{y = 7 {x}^{3} }}}[/tex]
Can someone help me with this math homework please!
Answer:
1. Both Egyptian and Chinese number systems use base 10.
3. All three cultures had unique symbolism to represent their numbers . (Earlier symbols were used to depict things)
4. There are two primary sources for ancient Egyptian mathematics
Step-by-step explanation:
I didn't know this question so I just searched on Brainly and someone already asked this question before, so I'm using their answers (just letting you know lol)
Credit: chisnau & metchelle
in the diagram below,RQ is parallel to ST. ST =4cm RP =10cm PT = 5cm a.find,. i.the scale factor. ii.|RQ|. b.if the area of ∆PRQ is 80 cm find the area of triangle ∆PST.
Answer:
us7e7eoeod8rr8r88rr8 fnddkdkiduduruScale factor is 1/2. and, Area of PST = 20cm^2
What is 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 \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
we get in the diagram below, RQ is parallel to ST.
ST =4cm
RP =10cm
PT = 5cm
Now, PRQ is larger than PTS
i.e. the scale factor = 5/10
=1/2
And, |RQ|= ST*2
=4*2
=8
Now, area of PRQ =80cm^2
so, area of PST = 80*1/2^2
=80*1/4
=20cm^2
Hence, Scale factor is 1/2., Area of PST = 20cm^2.
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Help me please if you don’t mind
Answer:
(7x + 2)(x - 2)(x + 2)
Step-by-step explanation:
Given
7x³ + 2x² - 28x - 8 ( factor the first/second and third/fourth terms )
= x²(7x + 2) - 4(7x + 2) ← factor out (7x + 2) from each term
= (7x + 2)(x² - 4) ← x² - 4 is a difference of squares
= (7x + 2)(x - 2)(x + 2)
Given statements:
If a shape is a rhombus, then the diagonals are perpendicular.
A square is a rhombus.
What is a logical conclusion from the given statements?
OA. The sides of a square are perpendicular.
OB. The diagonals of a square are perpendicular.
OC. A rhombus is a square.
OD. The diagonals of a square are not perpendicular.
Answer:
B
Step-by-step explanation:
subtract the following rational expressions
[tex] \frac{8k}{9k - 4} - \frac{3k^3}{2k + 7} [/tex]
please show all work
Answer:
-27k^4 +12k^3+16k^2+56k
---------------------
(9k-4)(2k+7)
Step-by-step explanation:
8k 3k^3
--------- - -----------
9k-4 2k+7
Get a common denominator
8k *(2k+7) 3k^3 *(9k-4)
--------- - -----------
(9k-4)(2k+7) (9k-4)(2k+7)
Combine
8k *(2k+7) -3k^3 *(9k-4)
---------------------
(9k-4)(2k+7)
Distribute
16k^2+56k -27k^4 +12k^3
---------------------
(9k-4)(2k+7)
-27k^4 +12k^3+16k^2+56k
---------------------
(9k-4)(2k+7)
Given line segment AB with endpoints A(-1,7) and B(11, -1)
Find the length of AB.
Step-by-step explanation:
some to check if it correct
The length of the line segment AB is 8.48 unit.
What does length mean?The term used for identifying the size of an object or the distance from one point to another is known as length.
The length of the line segment having endpoints A (x1, y1) and B (x2, y2) can be determined using the formula,
[tex]AB=\sqrt{(x_{2} ^{2} -x_{1} ^{2} )+(y_{2} ^{2} - y_{1} ^{2} )}[/tex]
Given that x1 = -1, x2= 11, y1= 7, and y2= -1.
Substituting the given values in the above equation
[tex]AB=\sqrt{(11^{2}-(-1)^2 )+((-1)^2-7^2)}[/tex]
[tex]AB=\sqrt{72} = 8.48[/tex]
Hence, 8.48 unit is the length of line segment AB.
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x/3 + 8 = 23 . Find the value of x
Answer:
45
Step-by-step explanation:
x/3 + 8 =23
=> x/3 = 23-8
=> x/3 = 15
=> x = 15 x 3
x = 45
Answer:
x=45
Step-by-step explanation:
To find x isolate the variables by using the properties of equality. First, subtract 8 from both sides, [tex]\frac{x}{3} = 15[/tex]. Then multiply both sides by 3, [tex]x=45[/tex]. Finally, to check you can plug 45 back into the equation, [tex]\frac{45}{3} +8=23[/tex]. Next, solve this equation and get 23=23, since this is a true statement 45 is correct.
write two such ratios number whose multplicativen inverse is same as they are
Answer:
1 and -1 are two rational numbers whose multiplicative inverse is same as they are.
Step-by-step explanation:
mark me brainlist
Find the circumference of this circle
using 3 for T.
C [?]
3
C = 27r
Use the formula shown C = 2PIr
r is the radius which is given as 3 and you are told to use 3 for pi:
C = 2(3)(3) = 18
The circumference = 18
1. Students were surveyed and asked if they play lacrosse and/or football. The results are shown below.
What percent of football players also play lacrosse?
36%
Step-by-step explanation:
28 + 16 = 44 Football players
Of those, 16 are on the lacrosse team.
16 / 44 × 100 = 36.36% (We round to 36%)
To verify:
44 × 36.36% = 15.84 (Which we can round to 16)
Pardon me if it's wrong
The solution is n = –2 verified as a solution to the equation 1.4n + 2 = 2n + 3.2. What is the last line of the justification?
0.8 = 0.8
–0.8 = –0.8
3 = 3
–3 = –3
Hello,
Answer B : -0.8=-0.8
[tex]n=-2\\1.4*n+2=2*n+3.2\\\\so:\\1.4*(-2)+2=?\ 2*(-2)+3.2\\\\-2.8+2=\ ? -4+3.2\\\\-0.8=-0.8\\[/tex]
The last line of the justification is –0.8 = –0.8
Solving equationsGiven the following equation
1.4n + 2 = 2n + 3.2.
Collect the like terms
1.4n - 2n = 3.2 - 2
Substitute n = -2 into the expression
1.4(-2) + 2 = 2(-2) + 3.2
-2.8 + 2 = -4 + 3.2
-0.8 = -0.8
Hence the last line of the justification is –0.8 = –0.8
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