Answer:
v = 6
u = 6×sqrt(2)
Step-by-step explanation:
since the "side angles" are the same, it is an isosceles triangle. that means both sides are equally long.
so, v = 6
for u (the baseline) we use Pythagoras :
c² = a² + b²
u² = 6² + 6² = 36 + 36 = 72
u = sqrt(72) = sqrt(36×2) = 6×sqrt(2)
Answer:
v = 6, u = 6[tex]\sqrt{2}[/tex]
Step-by-step explanation:
This is a 45- 45- 90 triangle with ratio of sides 1 : 1 : [tex]\sqrt{2}[/tex]
That is the legs are equal and the hypotenuse is [tex]\sqrt{2}[/tex] × leg
Then
v = 6 and u = 6[tex]\sqrt{2}[/tex]
Simplify 25/81 ……………
Answer:
25/81 is already in the simplest form. It can be written as 0.308642 in decimal form (rounded to 6 decimal places).
find x.
can someone work it out for me so i can try and figure out how to do problems like this on my own? please and thank you
Answer:
x = 7/2
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj side / hypotenuse
cos 45 = x / 7 sqrt(2) /2
7 sqrt(2)/2 cos 45 = x
7 sqrt(2)/2 (1/ sqrt(2))= x
7/2 = x
whats the volume the triangular prism?
Answer:
Step-by-step explanation:
B ----> Base Area
Base is triangle
base = b = 10 in
height = h = 6 in
Area of base B = [tex]\frac{1}{2}bh[/tex]
[tex]=\frac{1}{2}*10*6\\\\= 5* 6\\\\= 30 \ in^{2}[/tex]
B = 30 in²
H = 15 in
Volume of triangular prism = BH
= 30 * 15
= 450 in³
A wheel turns through 90 revolutions per minute how many degrees does it turn through in 1 second
Answer:
540°
Step-by-step explanation:
90 revolutions = 360°×90 = 32400°
32400° in 60 sec or 1 min
so, in 1 sec 32400/60 = 540°
Answer:
540°
Step-by-step explanation:
90 revolutions = 360°×90 = 32400°
=> 32400° in 60 sec or 1 min
=> In 1 sec,
=> 32400/60 = 540°
Is 3.739 rational or irrational
Answer:
It is a rational number.
Step-by-step explanation:
A rational number is a number that repeats with the same number, or terminates. An irrational number is a number that repeats, but not with a constant number, like pi for example. 3.739 terminates at the end, so it is a rational number.
Hope this helps :)
1&2&3 please……………………….
Answer:
The answer for no 2 is x = 3+y or y+3
Find an equation for the line with the given properties.
x-intercept = 2; y-intercept = -3. y =
Answer:
[tex]y=\displaystyle\frac{3}{2}x-3[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x=0)
We're given:
⇒ x-intercept = 2
⇒ y-intercept = -3
1) Determine the slope (m)
[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Given the x- and y-intercepts, we can rewrite them as points:
x-intercept = 2
⇒ (2,0)
y-intercept = -3
⇒ (0,-3)
Plug these points into the equation:
[tex]m=\displaystyle\frac{0-(-3)}{2-0}\\\\m=\displaystyle\frac{0+3}{2}\\\\m=\displaystyle\frac{3}{2}[/tex]
Therefore, the slope of the line is [tex]\displaystyle\frac{3}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\displaystyle\frac{3}{2}x+b[/tex]
2) Plug in the y-intercept (b)
[tex]y=\displaystyle\frac{3}{2}x+b[/tex]
We're given the y-intercept: -3. Plug this into [tex]y=\displaystyle\frac{3}{2}x+b[/tex]:
[tex]y=\displaystyle\frac{3}{2}x+(-3)\\\\y=\displaystyle\frac{3}{2}x-3[/tex]
I hope this helps!
Belinda is thinking about buying a house for $179,000. The table below shows the projected value of two different houses for three years: Number of years 1 2 3 House 1 (value in dollars) 186,160 193,606.40 201,350.66 House 2 (value in dollars) 190,000 201,000 212,000 Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points) Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points) Part C: Belinda wants to purchase a house that would have the greatest value in 30 years. Will there be any significant difference in the value of either house after 30 years? Explain your answer, and show the value of each house after 30 years. (4 points)
Answer:
A) both functions are linear
B) f(x) = 7446.4x + 178713.6 and f(x) = 11000x + 179000
C) House 2 will value $106894.4 more than house 1.
Step-by-step explanation:
A) Value Increase from year 1 to year 2:
House 1: 193,606.40 - 186,160 = 7446.4
House 2: 201,000 - 190,000 = 11000
Value Increase from year 2 to year 3:
House 1: 201,350.66 - 193,606.40 = 7744.26
House 2: 212,000 - 201,000 = 11000
This means that a constant increament in x variable gives a constant increament in both houses vales. Then, both functions are linear.
B) The slope is the same as the value increment from one year to the next one.
slope (m) of House 1: 7446.4
slope (m) of House 2: 11000
General formula of a line:
f(x) = mx+b
Replacing with a known point:
House 1
186,160 = 7446.4(1) + b
b = 186,160 - 7446.4 = 178713.6
equation: f(x) = 7446.4x + 178713.6
House 2
190,000 = 11000(1) + b
b = 190,000 - 11000 = 179000
equation: f(x) = 11000x + 179000
C) Replacing x = 30 into each equaiton:
Value of House 1 after 30 years
f(x) = 7446.4(30) + 178713.6 = 402105.6
Value of House 2 after 30 years
f(30) = 11000(30) + 179000 = 509000
Then, house 2 will value 509000 - 402105.6 = $106894.4 more than house 1.
Find the value of x. Round to the nearest tenth
Answer: x= 42.3
Step-by-step explanation:
Sqrt a^2 + b^2 - (2ab)(cos 100)
Sqrt 25^2 + 30^2 - (2)(25)(30)(cos 100)
42.3
6.7 more than 5 times a number is 20
Answer:
the number is 2.66
Step-by-step explanation:
[tex]6.7+5x=20[/tex]
Step 1. Subtract 6.7 from both sides
[tex]5x=20-6.7[/tex]
[tex]5x=13.3[/tex]
Step 2. Isolate the variable
[tex]\frac{5x}{5} =\frac{13.3}{5}[/tex]
[tex]x=2.66[/tex]
The number is 2.66
Which value for the constant d makes x = -2 an extraneous solution in the following equation?
[tex]\sqrt{6-15x} =5x+d[/tex]
Answer:
Solution given:
[tex]\sqrt{6-15x} =5x+d[/tex]......(1)
d=?
and
x=-2
Substituting value of x in equation 1.
[tex]\sqrt{6-15*-2} =5*-2+d[/tex].
Solve the like terms
[tex]\sqrt{6+30} =-10+d[/tex].
solve the like terms
[tex]\sqrt{36} =-10+d[/tex].
we have square root of 36 is 6.
6=-10+d
d=16
the value of constant term is 16.
The value of d for the expression [tex]\sqrt{6-15x} = 5x+d[/tex] is 16.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The value of 'd' is calculated as,
[tex]\sqrt{6-15x} = 5x+d[/tex]
Put the value of x =-2,
[tex]\sqrt{6-(15\times -2)}=(5\times -2)+d[/tex]
√36 = -10 + d
6 = -10 + d
d = 16
To know more about Expression follow
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If Acot theta + Bcot theta =4 and
Bcot theta + Acot theta = q, then p^2-q^2=? .
(Please Answer Quickly!!! I will mark you as Brainliest)
Answer is: B
Step-by-step explanation: correct answer is B
b
2
−a
2
Given, acotθ+bcscθ=p
bcotθ+acscθ=q
⇒p
2
−q
2
=(p−q)(p+q)
=[acotθ+bcscθ−bcotθ−acscθ][acotθ+bcscθ+bcotθ+acscθ]
=[cotθ(a−b)−cscθ(a−b)][cotθ(a+b)+cscθ(a+b)]
=(a−b)(cotθ−cscθ)(a+b)(cotθ+cscθ)
=(a
2
−b
2
)(cot
2
θ−csc
2
θ)
=(−1)(a
2
−b
2
)[∵csc
2
θ−cot
2
θ=1]
=(b
2
−a
2
)
what is the intrest of rs2160 at the rate of 20% for 4years?in how many years will rs1800earn the same intrest at the rate of 12%
Answer:
considering it was simple interest,
We have the formula:
I = PRT ÷ 100
where,
I = InterestP = principalT = time (in years)R = ratefor the first part of the question,
P = Rs. 2160R = 20T = 4Thus, I = (2160 × 20 × 4)÷ 100
I = Rs. 1728
Now, for the second part,
P = Rs. 1800I = 1728R = 12T = 100×I÷PR
T = 100 × 1728÷(1800 × 12)
T = 8 Years
To win the annual read-a-thon at his school, Scott has to read more books than any of his classmates over winter break. He starts by reading a lot of sports books. Then, he reads 10 mystery books. In all, Scott reads 23 books for the read-a-thon.
Answer:
13 sports books and 10 unknown books is 23 books
Step-by-step explanation:
we already know scott read 23 books total, we also know that he read 10 mystery books.
subtracting 10 unknown books from 23 total books, we get 13 sports books as your answer
I need help with all the answers to 1 and 2
1a. 128
1b. 81
1c. 64
1d. 25
1e. 343
1f. 100000
1g. 64
1h. 0
1i. 13
1j. 1
2a. 243
2b. 64
2c. 36
2d. 625
2e. 1331
2f. 10000000
2g. 81
2h. 0
2i. 17
2j. 1
- What are the actual dimensions of the check-out area? Floor Plan of Library 2 cm + 3 cm - 4 cm Study Area Books 7 cm Check-out Area Scale: 1 cm: 5 m A 25m x 15m © 15m x 35m B 15m x 20m D 2m x 4m
The actual dimensions of the check out area is 25 m by 35 m.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Given the scale of:
1 cm = 5 m, hence:
Length = 5 cm = 5 cm * 5 m per cm = 25 m
Width = 7 cm = 7 cm * 5 m per cm = 35 m
The actual dimensions of the check out area is 25 m by 35 m.
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Can you give me same question like this..please
Q. Amina thinks of a number and subtracts 5/2
from it. She multiplies the result by 8. The result now obtained is 3 times the same number she thought of. What is the number?
Answer:
Three more than twice a number is equal to four less than the number. find the number.
A garden table and a bench cost 975 combined. The garden table costs 75 more than the bench. What is the cost of the bench
Answer:
$525
x+ y = 975
x - 75 = y
x + x - 75 = 975
2x = 1050
x = $525
Step-by-step explanation:
Answer:
Below!
Step-by-step explanation:
Let x represent the cost of the bench
The cost of the garden table can be represented by this equation:
x + 75
x + (x + 75) = 975
2x + 75 = 975
2x = 900
Divide both sides by 2
x = 450
The bench costs $450
The garden table costs 450 + 75 = $525
Hope this helps! Best of luck <3
I would really appreciate brainliest if possible :)
Ben's Bicycle Helmets makes bicycle helmets at a cost of 3000+ 12x dollars per month to produce x helmets. They sell the helmets for $21 each. 1. Determine the cost to produce 500 helmets. 5. Identify the break-even point. 6. Will Ben's Bicycle Helmets earn a profit by selling 500 helmets a month? Justify your response
Answer:
#1
The cost to produce 500 helmets:
3000 + 12*500 = 9000#5
The break-even point is the price when profit is zero:
$9000/500 = $18#6
There will be a profit as the selling price is greater than the break even point:
$21 > $18Find cost of x=500 helmets
y=3000+12(500)y=3000+6000y=$9000Break even point
9000/500=18So
There is profit as its less than 18
Will Mark Brainlest Help pls
Answer:
x=2,y=2
Step-by-step explanation:
3y-1 = 5
or, 3y = 5+1
or, y = 6/3
y = 2
2x+1 = 3y-1
or, 2x = 3×2-1-1
or, 2x = 4
or, x = 2
[tex]\\ \sf\longmapsto \left[{2x+1\atop 2x+x}\:\:\:{3y-1\atop 3}\right]=\left[{3y-1\atop 4}\:\:\;{5\atop 3}\right][/tex]
[tex]\\ \sf\longmapsto 3y-1=5[/tex]
[tex]\\ \sf\longmapsto 3y=5+1[/tex]
[tex]\\ \sf\longmapsto 3y=6[/tex]
[tex]\\ \sf\longmapsto y=2[/tex]
Put the value in 1st one
[tex]\\ \sf\longmapsto 2x+1=3y-1[/tex]
[tex]\\ \sf\longmapsto 2x+1=3(2)-1[/tex]
[tex]\\ \sf\longmapsto 2x+1=6-1[/tex]
[tex]\\ \sf\longmapsto 2x+1=5[/tex]
[tex]\\ \sf\longmapsto 2x=5-1[/tex]
[tex]\\ \sf\longmapsto 2x=4[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{4}{2}[/tex]
[tex]\\ \sf\longmapsto x=2[/tex]
Hello! I have an algebra 1 dba tomorrow (flvs). I am just a little nervous and want to be a little more prepared. Does anybody know what questions I will be asked? Btw this is for algebra 1 module 4. Thank you :)
Answer:
Im not sure what is in the algebra 1 module 4 but for algebra 1 you should study how to graph equations, solve system of equations with substitution and elimination. those topics, at least for e, have been a little tricky
Step-by-step explanation:
Which polynomial correctly combines the like terms and puts the given polynomial in standard form?
one-thirdx + 8x4 – two-thirdsx2 – x
8x4 – one-thirdx2 – x
8x4 + two-thirdsx2 + two-thirdsx
8x4 – two-thirdsx2 – two-thirdsx
8x4 – two-thirdsx2 – x
Answer:
C
Step-by-step explanation:
Will Mark Brainlest Help Please Please
[tex]\\ \sf\longmapsto \left[{3a+b\atop a-b}\:\:\:{3c-d\atop a+b+d}\right]=\left[{3\atop 5}\:\:\;{6\atop 2d-1}\right][/tex]
Now constructing equations
[tex]\\ \sf\longmapsto 3a+b=3\dots(1)[/tex]
[tex]\\ \sf\longmapsto a-b=5\dots(2)[/tex]
[tex]\\ \sf\longmapsto 3c-d=6\dots(3)[/tex]
[tex]\\ \sf\longmapsto a+b+d=2d-1\dots(4)[/tex]
Adding eq(1) and (2)
[tex]\\ \sf\longmapsto 4a=8[/tex]
[tex]\\ \sf\longmapsto a=\dfrac{8}{4}[/tex]
[tex]\\ \bf\longmapsto a=2[/tex]
Put the value in eq(2)
[tex]\\ \sf\longmapsto a-b=5[/tex]
[tex]\\ \sf\longmapsto b=a-5[/tex]
[tex]\\ \sf\longmapsto b=2-5[/tex]
[tex]\\ \bf\longmapsto b=-3[/tex]
put the values in eq(4)
[tex]\\ \sf\longmapsto a+b+d=2d-1[/tex]
[tex]\\ \sf\longmapsto 2+(-3)+d=2d-1[/tex]
[tex]\\ \sf\longmapsto d-1=2d-1[/tex]
[tex]\\ \sf\longmapsto d-2d=-1+1[/tex]
[tex]\\ \sf\longmapsto -d=0[/tex]
[tex]\\ \bf\longmapsto d=0[/tex]
Put the value in eq(3)
[tex]\\ \sf\longmapsto 3c-d=6[/tex]
[tex]\\ \sf\longmapsto 3c-0=6[/tex]
[tex]\\ \sf\longmapsto 3c=6+0[/tex]
[tex]\\ \sf\longmapsto 3c=6[/tex]
[tex]\\ \sf\longmapsto c=\dfrac{6}{3}[/tex]
[tex]\\ \sf\longmapsto c=2[/tex]
20 is 15% of what number?
PLEASE ANSWER ILL GIVE BRAINLIESTTTT
Answer:
133.33
Step-by-step explanation:
Answer:
133 1/3 or 133.33
Step-by-step explanation:
So first let's turn 15% into a decimal. For me personally, its less intimidating that way.
15%=0.15
now, let's say the number we are trying to find is x.
A trick I use for these questions is to look at the words. "Of" is used when something is multiplied. "Is" is used for equal signs. So if 20 is 0.15 of x, our formula is easy to figure out!
20=0.15x
x=133.33333...
x=133 1/3
Determine the interval(s) on which the given function is decreasing.
Polynomial going up from the left and passing through the point negative 1 comma 0 and going to a relative maximum at the point 0 comma 5 and then going down to a relative minimum at the point 1 comma 4 and then going up to the right
Answer Choices:
(–∞, –1) ∪ (1, ∞)
(–1, ∞)
(–∞, 0) ∪ (1, ∞)
(0, 1)
Analyzing the text, we find that the function is decreasing over the following intervals: (0, 1)
-------------------------
Polynomial going up from the left and passing through the point (-1,0), going to a relative maximum at the (0,5) and then going down to a relative minimum at the point (1,4).Going from maximum to minimum, meaning that between them the function decreases, thus, the first interval it is decreasing is between (0,1).
Going up to the right:Going up, increases.
-------------------------
Thus, the function decreases over the following interval: (0, 1)
A similar question is given at https://brainly.com/question/17875907
The diagonals of a square are 4 meters long. The side of this square is equal to the diagonal of the second square. Find the side of the second square.
Answer:
bro what is the diagonal of second square.
I need help asap!!
Solve for d and show your work:
16d- (4 -5d) =-67
Step-by-step explanation:
16d-4+5d= -67
21d-4= -67
21d= -67+4
d= -63/21
d = -3
hope it helps
Answer: d = -3
Step-by-step explanation:
⇒16d -(4-5d) = -67
⇒16d -4 +5d = -67
⇒21d = -67+4
⇒21d = -63
⇒d = -63/21
⇒d = -3
Therefore d = -3
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Best answer gets the brainliest!
Find $a/b$ when $2\log{(a -2b)} = \log{a} + \log{b}$.
By some properties of logarithms, rewrite the equation as
[tex]2\log(a-2b) = \log(a) + \log(b) \\\\ \log(a-2b)^2 = \log(ab)[/tex]
so that
(a - 2b)² = ab
Expand the left side:
a ² - 4ab + 4b ² = ab
Rearrange terms to get a quadratic equation in a/b :
a ² - 5ab + 4b ² = 0
b must be greater than 0, otherwise log(b) doesn't exist, and the same goes for a. So we can divide by b ² to get
a ²/b ² - 5a/b + 4 = 0
Factorize and solve for a/b :
(a/b - 4) (a/b - 1) = 0
==> a/b = 4 or a/b = 1
However, if a/b = 1, then a = b makes a - 2b = -b. But we must have b > 0, so we omit the second solution and end up with
a/b = 4
Megan has some cards. She gives away 8 cards. Now she has 41 cards.
How many cards did Megan start with? Enter the answer in the box.
Answer:
c = 49
Step-by-step explanation:
Let c = number of cards originally
give away 8 cards
c-8
Now she has 41
c-8 = 41
Add 8 to each side
c-8+8 = 41+8
c = 49
Answer:
49
Step-by-step explanation:
In the end, if she now has 41 cards you have to do inverse operation. Since you subtracted to take away those 8 cards she gave away, you have to add back in 8 cards to the 41 if you want to find what she had before. So, 8 + 41 = 49
Hope this helps! :)
If (3,b) is a point on the graph of y = 2x+9.
b =
Answer:
Step-by-step explanation:
In the coordinate given, x = 3 and y = b. If we plug those into the given equation, we can solve for b:
y = 2x + 9 ---> b = 2(3) + 9 so
b = 6 + 9 and
b = 15
Answer:
b = 15
Step-by-step explanation:
y = 2x+9
Let x = 3 and y=b
b = 2(3)+9
b = 6+9
b = 15