Answer:
D
Step-by-step explanation:
tan(theta) = y/x
tan(theta) = (sqrt(2)/2)/(sqrt(2)/2)=1
Right now Jack’s age is greater than twice Fred’s age by 4. After 8 years, the sum of their ages is 59. Find Fred’s age.
Fred's age is 13 years
Let
Fred's age = x
Jack's age = 2x + 4
After 8 years:
Fred's age = x + 8Jack's age = 2x + 4 + 8= 2x + 12
Sum of their ages = 59Sum of their ages = Fred's age + Jack's age
59 = (x + 8) + (2x + 12)
59 = x + 8 + 2x + 12
59 = 3x + 20
59 - 20 = 3x
39 = 3x
x = 39/3
x = 13 years
Therefore, Fred's age = 13 years
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If the second question is asking us to shade
37%, percent meaning per 100, how many boxes
should be shaded?
Answer:
We should shade 37 out of 100 boxes
Step-by-step explanation:
37%
Percent means out of 100
37/100
We should shade 37 out of 100 boxes
please help i've been stuck on this for a while
Answer:
SSS Postulate
Step-by-step explanation:
The first says 2 sides are the same
The second says 2 sides are the same
The last says 2 sides are the same
Side side side
SSS Postulate
Hence find the value of x that satisfies the two equations y =
5x/2-7 and y=4x/3
simultaneously.
Answer:
x=6
Step-by-step explanation:
since y=5x/2-7, and y=4x/3
so 5x/2-7=4x/3
5x/2-4x/3= 7
15x-8x/6=7
7x/6=7
x= 7*6/7= 6
Factor 4n4 + n3. find the factor
Answer:
n^3( 4n+1)
Step-by-step explanation:
4n^4 + n^3
2*2*n^3*n + 1*n^3
Factor out the common terms
n^3( 4n+1)
Is the collection of nice Nepali songs a set ? Why ?
Answer:
kun vannu vayeko hoo bujena ni saathi yo question complete xa ta.
Answer:
Is the collection of nice Nepali songs a set ? Why ?
=⟩ yes the collection of nice Nepali songs a set Because it can be collected on bracket .
an isosceles triangle is such that AC=BC and has vertices A=(3,4), B=(7,4) and C=(5,8) a) Calculate the length of AC B) the line of symmetry of the triangle meets the line AB at M what are the coordinates of M
Answer:
Step-by-step explanation:
A( 3 , 4) & C(5 , 8)
Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]AC = \sqrt{(5-3)^{2}+(8-4)^{2}}\\\\=\sqrt{(2)^{2}+(4)^{2}}\\\\=\sqrt{4+16}\\\\=\sqrt{20}\\\\= 4.47 units[/tex]
M is the midpoint of AB
A(3,4) &B(7,4)
[tex]M(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\M(\frac{3+7}{2},\frac{4+4}{2})\\\\M(\frac{10}{2},\frac{8}{2})[/tex]
M(5,4)
.
Use the table provided to find an exponential model ƒ(x) = ab^x, where ƒ is the population of Arizona, and the input is the number of years since 2004. Approximate to the thousandth’s place.
ƒ(x) = 5,939,292 • (1.035)x
ƒ(x) = 5,739,879 • (0.965)x
ƒ(x) = 5,739,879 • (1.035)x
ƒ(x) = 5,739,879 • (0.035)x
Answer:
this is the same quiestion i was doing if u get answer plz send me
Help me please. What is the answer?
Answer: q -> p
Step-by-step explanation: You've got it right! To find the converse, you switch the first and second halves of the statement and keep it positive.
Answer:
q→p
Step-by-step explanation:
The converse is a type of mathematical statement that changes the conditional statement. If the conditional statement is p→q then the converse is q→p. This is because the converse of a statement reverses any type of statement. For example, if the conditional statement is: if an angle has 90 degrees, then it is a right angle. Then, the converse would be: if an angle is a right angle, then it has 90 degrees.
simplify (5^0+4^-0•5)^2
Answer:
anything raised to the power of zero= 1
(1+1/4^½)²
(1 + 1/2)²
(3/2)²
9/4
=2.25
Use the drop-down menus to identify the values of the
parabola.
Vertex = (-3, -5), (-2, 0),
(0, 4), or (2, 0)
Domain = x < 0, x > 0, y > 0, or x is a real number
Range = {y| y < 0, 2, 4, or 6}
Answer:
Vertex= (0,4)
Domain= x: all real number
Range: ( - ∞, 4] or y ≤ 4
OAmalOHopeO
There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track. 19 people use the gym and the pool. 9 people use the pool and the track. 16 people use the gym and the track. 4 people use all three facilities. How many people didn't use any facilities?
Answer:
24 people
Step-by-step explanation:
((The numbers are up there, so I am not going to define each variable.))
For starters, there is no overlap between the double facilities groups, except the triple facility users, so:
19 + 9 + 16 - 4 = 40 people
Since there is overlap between single and double groups, you will need to subtract, so:
Gym: 73 - 19 - 16 = 38
Pool: 59 - 19 - 9 = 31
Track: 31 - 9 - 16 = 6
Total for 1 facility: 38 + 31 + 6 - 4 = 71 people
((Minus 4 because the 4 triple facility users overlap the double facility users (problem is in layers: layer 1 minus layer 2, then minus layer 3).))
Next, add the totals:
71 + 40 = 111 people (using facilities)
135 - 111 = 24 people (who didn't use any)
(((I'm not 100% sure on this answer, so if someone could check my work, that would be much appreciated.)))
Find the measure of the indicated angle.
Answer:
Does the answer help you?
Find the surface area of each figure. Round your answers to the nearest tenth, if necessary
Answer:
268 in ^2
Step-by-step explanation:
SA=2lw+2lh+2hw
width = 4 lenth = 6 height = 11
2(6)(4) + 2(6)(11) + 2 (11)(4)
= 2 (24) + 2(66) + 2 (44)
= 48 + 132 + 88
= 268 in ^2
Answered by G a u t h m a t h
Câu 1: Cho tam giác MNP cân tại P thì:
A. MN = MP B. PM = NP C. PN = PN D. Không có cạnh nào bằng nhau.
Answer:
B. PM = NP
Step-by-step explanation:
what is the smallest number by which 6400 must be multiplied to make a perfect cube?
Answer:
10
Step-by-step explanation:
i looked it up to be sure but if wrong very sorry.
if 2x +y=-7 and 3x=6+4y are simultaneous equation, what is the value of x-y
Find the value of a.
a
52
Answer:
26
because a is gone in b than
three decreased by the product of a number and two
[tex] {3a}^3b -54b[/tex]
factorize it plz
Answer:
[tex]3b(a^{3} - 18)[/tex]
Step-by-step explanation:
[tex]3a^{2}b-54b[/tex] => [tex]3b(a^{3} - 18)[/tex]
Answer:
Step-by-step explanation:
[tex]\Large \boldsymbol{} 3a^3\underline b-54\underline b=b(3a^3-54)=\boxed{3b(a^3-18)}[/tex]
solve the following: If 7a – 4b = 3, then b =
Answer:
D (7a-3)/4
Step-by-step explanation:
7a – 4b = 3
Subtract 7a from each side
7a-7a – 4b = 3-7a
-4b = 3 -7a
Divide by -4
-4b/-4 = (3-7a)/-4
b = (7a-3)/4
Answer:
b = (7a - 3)/4
Step-by-step explanation:
7a - 4b = 3
=> -4b = 3 - 7a
=> b = (3 - 7a)/(-4)
=> b = -(3 - 7a)/4
=> b = (-3 + 7a)/4
=> b = (7a - 3)/4
Find the mean of the following 8, 12, 16, 10, 18, 15, 22, 16, 14, 17
[tex]mean = \frac{sum \: of \: all \: observations}{number \: of \: observations} \\ = > mean = \frac{8 + 12 + 16 + 10 + 18 + 15 + 22 + 16 + 14 + 17}{10} \\ = > mean = \frac{148}{10} \\ = > mean = 14.8[/tex]
This is the answer.
Complete the statements.
f(4) is
f(x) = 4 when x is
help me please!!! :)
Answer:
D
Step-by-step explanation:
f(x) = x^2+1 at x=-1, f(-1)=1+1=2
how do you solve this
Answer:
yo what concept is this
Step-by-step explanation:
Help me please and thank you
Answer:
Below
Step-by-step explanation:
The domain tells you if there are any restrictions on the x's
The -5 in the function tells us that it has moved 5 units RIGHT from the original parent function. Because of this, any x coordinates have to be bigger or equal to 5!
So, the domain of this function is x >/ 5
Hope this helps!
Given that sin 0 = 21/29, what is the value of cose, for 0° <0<90°? please help
Answer:
3rd option
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 ( subtract sin²x from both sides )
cos²x = 1 - sin²x ( take the square root of both sides )
cosx = ± [tex]\sqrt{1-sin^2x}[/tex]
Given
sinθ = [tex]\frac{21}{29}[/tex] and 0 < θ < 90 , then
cosθ
= [tex]\sqrt{1-(\frac{21}{29})^2 }[/tex]
= [tex]\sqrt{1-\frac{441}{841} }[/tex]
= [tex]\sqrt{\frac{400}{841} }[/tex] = [tex]\frac{\sqrt{400} }{841}[/tex] = [tex]\frac{20}{29}[/tex]
Suppose Cab Company A charges a flat fee of $4.50 plus an additional $0.25/mile. Cab Company B charges a flat fee of $1 plus an additional $0.75/mile.
First, define variables. Then write two equations: one equation will represent the cost of choosing Cab Company A, and the other equation will represent the cost of choosing Cab Company B.
2.) Find the measure of exterior angle X:
Answer:
x = 90
Step-by-step explanation:
Here 60 is angle B, 30 is Angle a, B is The third angle of the triangle, and x is the exterior angle measurement!
60 + 30 + b= 180
a + x = 180
60 + 30 + b= 180
90 + b = 180
b = 90
90 + x = 180
x = 90
Note:exterior angle equal to the sum of its two opposite non-adjacent interior angles.
Why is it useful to have different forms of linear equations?
Linear equation is the equation of a straight line.
Forms of a linear equation
The forms of a linear equation are:
Slope intercept form - [tex]\mathbf{y = mx + b}[/tex].Point slope form - [tex]\mathbf{y - y_1 = m (x - x_1)}[/tex].Standard form - [tex]\mathbf{Ax +Bx = C}[/tex].Slope intercept form
From the slope intercept form, one can easily deduce the slope and the y-intercept of the linear equation
Point slope form
From the point-slope form, one can easily deduce the slope and the points of the graph of the linear equation
Standard form
From the standard form, the values of x and y can be easily calculated.
Hence, the usefulness of having different forms of linear equation is that they all serve different purposes, even through they represent the same graph.
Read more about linear equations at:
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