Answer:
[tex]Area = \frac{1}{2} * AC * D[/tex]
Step-by-step explanation:
From the complete question, we have:
Length D to be perpendicular to side AC
So, the area of the triangle is:
[tex]Area = \frac{1}{2} * Base * Height[/tex]
Since:
Length D is perpendicular to side AC
Then:
[tex]Base = AC[/tex]
[tex]Heigjt =D[/tex]
So:
[tex]Area = \frac{1}{2} * AC * D[/tex]
I have a goal of getting exactly $100. But I have to pay a tax of 10%. How much money do I need to get in order to have exactly $100 after paying tax? Explain your answer please.
=======================================================
Explanation:
Let's say you earn x dollars.
You pay 10% tax on that, which means you pay 0.10x dollars.
This would drop to x-0.10x = 0.90x which is the amount earned after tax.
So you pay 10% of what you earn, and keep 90% of the rest.
Set this equal to the target $100 you want and solve for x.
0.90x = 100
x = 100/0.90
x = 111.11
Notice that 10% of this is 0.10*x = 0.10*111.11 = 1.11 when rounding to the nearest penny. So you'll pay $1.11 in tax. Therefore, you'd have x-0.10x = 111.11 - 1.11 = 100 left over. So the answer checks out.
PLEASE HELP, I WILL GIVE YOU BRAINLIEST!
Find the equation of a line that results in one real solution as part of a system with f(x)=x^2+2
Step-by-step explanation:
i hope this will help you
Answer:
give that person brainliest
Step-by-step explanation:
I am tired bestie. You are lucky we are friends. want sleep but homeworrkkk
the regular price of base ball cleats is 80 dollars if the cleats are on sale for 45% off, then what is the value of the discount in dollars?
Answer:
$36
Step-by-step explanation:
If the cleats were on sale for 45% off, that means they were 55% "on." Therefore, you have to multiply 80 by 0.55* to get how much they cost.
80 x 0.55 is 44.
To get the value of the discount, you subtract 44 from 80, which is 36.
The cleats sold for $44, and there was a $36 discount.
*you multiply by 0.55 because it is 55 percent. Percent means "per every hundred." That's why you have to divide 55 by 100 to get 0.55.
An alternate way to solve this is to multiply 80 by 55 and then divide the result by 100, but you'll still get 44.
Simplify
[tex]\frac{1}{1}+\frac{1}{1+2}+\frac{1}{1+2+3} +...+\frac{1}{1+2+3+...+99}[/tex]
Answer:
65/264 or 0.2462
Step-by-step explanation:
The given series is
(1/1.2.3) + (1/2.3.4) + (1/3.4.5) + ………………
If we denote the series by
u(1) + u(2) + u(3) + u(4) +……………..u(n),
where u(n) is the nth term, then
u(n) = 1/[n(n+1)(n+2)] , n = 1,2,3,4,………n.
which can be written as
u(n) = (1/2) [1/n(n+1) - 1/(n+1)(n+2)] ………………………(1)
In the question, the number of terms n =10, thereby restricting us only to first 10 terms of the series and we have to find the sum for this truncated series. Let S(10) denote the required sum. We have then from (1),
u(1) = (1/2) (1/1.2 - 1/2.3)
u(2) = (1/2) (1/2.3 - 1/3.4)
u(3) = (1/2) (1/3.4 - 1/4.5)
u(4) = (1/2) (1/4.5 - 1/5.6)
u(5) = (1/2) (1/5.6 - 1/6.7)
u(6) = (1/2) (1/6.7 - 1/7.8)
u(7) = (1/2) (1/7.8 - 1/8.9)
u(8) = (1/2) (1/8.9 - 1/9.10)
u(9) = (1/2) (1/9.10 - 1/10.11)
u(10) = (1/2) (1/10.11 - 1/11.12)
Let us now add the terms on LHS and the terms on RHS independently. The sum of LHS is nothing but the sum S(10) of the series up to 10 terms. On the RHS, alternate terms cancel and we are left with only the first and the last term. Therefore,
S(10) = (1/2) (1/1.2 - 1/11.12) = (1/2) (66–1)/132 = [65/(132.2)]
= 65/264
= 0.2462 (correct to four decimal places)
#carryonlearnig
Can someone help me please this is my last one
Answer:
Domain and range: [0, ∞)
Step-by-step explanation:
There is no limit to the number of concert tickets someone can buy, but there cannot be negative concert tickets. The domain, or what the input can be, is [0, ∞) as it can be greater than or equal to 0
The range is the total cost, or what the output can be. Since the total cost is the number of tickets multiplied by 55 (as it is $55 per ticket), this can be represented by 55 * number of tickets. The total cost cannot be negative, but it can be 0 if no one buys tickets. As there is no limit to the amount of tickets someone can buy, there is no limit to what the total cost could be, making the range [0, ∞)
Find the value of sin H rounded to the nearest hundredth, if necessary
Answer:
7/25 or .28
Step-by-step explanation:
sin=opp/hyp
7/25
Someone tell me where everyone is going right please !!
Answer:
1. 3rd option
2. 4th option
3. 1st option
4. 2nd option
5. 2nd option
Step-by-step explanation:
1.
on changing the signs of an equality the sign gets reveresd
-6 < -2x
6 > 2x
3 > x
2.
2x - 3 > 11 - 5x
adding 5x and 3 to both sides and combining like terms(2x + 5x) + (-3 + 3) > (11 + 3) + (-5x + 5x)
7x > 14
x > 2
put of all the options x = 4 is a value greater than 2 thus satisfying the condition.
3.
6k + 10. 5 = 3k + 12
subtracting 3k and 10.5 from both the sides while combining like terms(6k - 3k) + (10.5 - 10.5) = (3k - 3k) + (12 - 10.5)
3k = 1.5
k = 0.5
4.
y + 3 = -y + 9
adding y and subtracting 3 from both sides(y + y) + (3 - 3) = (-y + y) + (9 - 3)
2y = 6
y = 3
5.
-9x + 1 = -x + 17
adding x and subtracting 1 from both sides
(-9x + x) + (1 -1) = (-x +x) + (17 -1)
-8x = 16
multiplying the equation by -1
8x = -16
diving both sides by 8
x = -2
Answer:
[tex]1. \: \: x < 3[/tex]
[tex]2. \: \: 2[/tex]
[tex]3. \: \: k = 0.5[/tex]
[tex]4. \: \: y = 3[/tex]
[tex]5. \: \: x = 12[/tex]
Step-by-step explanation:
[tex]1. \: \: - 2(5 - 4x) < 6x - 4 \\ - 10 + 8x < 6x - 4 \\ - 10 + 2x < - 4 \\ 2x < 6 \\ x < 3[/tex]
[tex]2. \: \: 2x - 3 > 11 - 5x \\ 7x - 3 > 11 \\ 7x > 14 \\ x = 2[/tex]
[tex]3. \: \: 6k + 10.5 = 3k + 12 \\ 3k + 10.5 = 12 \\ 3k = 1.5 \\ k = 0.5[/tex]
[tex]4. \: \: y + 3 = - y + 9 \\ 2y + 3 = 9 \\ 2y = 6 \\ y = 3[/tex]
[tex]5. \: \: - 9x + 1 = - x + 17 \\ - 8x + 1 = 17 \\ - 8x = 16 \\ x = - 2[/tex]
Hope it is helpful....If U={a,b,c,d,e,f,g,h,} A={a,b,c,d} B={a,e,h}. Then verify the relation AUB
Answer:
U={a,b,c,d,e,f,g,h}
A={a,b,c,d}
now,
AUB= {a,b,c,d,e,f,g,h} U {a,b,c,d}
= {a,b,c,d,e,
ok,this question is wrong btw ,I think I stead of U(universal set) it is B
if the parent function is y=3^x, which is the function of the graph?
1) y=3^(x-4)-2
2) y=3^(x+4)+2
3) y=3^(x-4)+2
4) y=3^(x+4)-2
I NEED HELP SOMEONE HELP ME OUTTTT!!!
Answer:
Tan A = [tex]\frac{21}{35}[/tex] = [tex]\frac{3}{5}[/tex] = .6
Step-by-step explanation:
SOH CAH TOA
Sin Ф = [tex]\frac{O}{H}[/tex]
Cos Ф = [tex]\frac{A}{H}[/tex]
Tan Ф = [tex]\frac{O}{A}[/tex]
If Clare earns $75 the next week from delivering newspapers and deposits it in her account, What will her account balance be then?\
answer pls
Answer: $15
Step-by-step explanation:
-$50 + $75 = $15
Describe fully the transformation that maps triangle a onto triangle B
Answer:
The transformation that maps Triangle A onto Triangle B is a reflection of Triangle A across the axis "y=-1".
Step-by-step explanation:
The transformation that maps triangle A to triangle B is a reflection over the line y = -1.
Given are two triangles A, we need to determine the transformation performed to get the image of triangle A, i.e., triangle B.
The coordinates of the triangle A are:
(1, -5), (1, -2) and (3, -2)
The coordinates of the triangle B are:
(1, 3), (1, 0) and (3, 0)
By comparing the corresponding vertices, we can observe that the x-coordinates remain the same while the y-coordinates change.
The transformation that maps triangle A to triangle B is a reflection over the line y = -1.
This reflection flips the triangle across the line, resulting in the change of sign for the y-coordinates while leaving the x-coordinates unchanged.
Hence the transformation performed to obtain triangle B from triangle A is a reflection over the line y = -1.
Learn more about Reflection click;
https://brainly.com/question/15487308
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What are the coordinates of R?
Answer: y,0
Step-by-step explanation:
What is the constant of variation, k, of the direct variation, y = for, through (5,8)?
Answer:
[tex]\frac{8}{5}[/tex]
Step-by-step explanation:
The constant of direction variation givens a proportion that is maintained by both x and y values for all points of a line that it passes through.
Usually represented with the variable [tex]k[/tex], it is given by:
[tex]\frac{y}{x}=k[/tex] for coordinates (x, y).
This relationship can be written as [tex]y=kx[/tex] which is also the layout for a proportional relationship.
Since coordinates are written (x, y), for point (5, 8), substitute [tex]x=5, y=8[/tex] to get the constant of variation:
[tex]8=5k,\\k=\boxed{\frac{8}{5}}[/tex]
Answer:
8/5
Step-by-step explanation:
Given that y varies directly with x , therefore ,
[tex]\implies y \propto x[/tex]
Let k be the constant . Therefore ,
[tex]\implies y = k x[/tex]
When the point is (5,8) ,
[tex]\implies 8 = k * 5 \\\\\implies \underline{\underline{\boxed{ k =\dfrac{8}{5}}}}[/tex]
Hence the constant of variation is 8/5.
if a third plane could be drawn which contains both lines a and b .
Answer:
must be parallel
Step-by-step explanation:
They must be parallel.
help me please i need this right now !!
Answer:
The first choice.
Step-by-step explanation:
3(x + 2) is equal to 3 * x + 3 * 2.
Simplify that, and you would get 3x + 6.
Answer:
A. or 3(x+2) = 3x + 6
Step-by-step explanation:
A. 3(x+2) = 3(x) + 3(2)
= 3x + 6
Which is correct!.
B. x^2 is nowhere to be found.
C. Doesn't distribute the 3 into the 2 properly.
D. Doesn't distribute the -3 into the x properly.
Which fraction is the largest? 7/9 3/4 1/2 2/3
Rewrite the fractions as decimals by dividing:
7/8 = 0.7777
3/4 = 0.75
1/2 = 0.5
2/3 = 0.666
0.777 is the largest number so 7/9 is the largest fraction.
Answer: 7/9
Answer:
2/3
Step-by-step explanation:
L.C.M:36
7/9:28/36
3/4:27/36
1/2:1836
2/3:36/36
Given the points (-7, 9) and (5, 5) find the slope.
m=
what is the inverse function f f(x)=radical x +7
Step-by-step explanation:
by switching the places of x and y ans solving for y
For every quarter in his pocket, John also has 5 pennies in his pocket. If the total of the coins in John’s pocket is $ 5.40, how many quarters does John have in his pocket.
If a student receives a score of 80, how many questions did this student answer ... (5). Let x = the first number, and y = the second number ... If John only has 25 coins in his pocket, how many of the coins are quarters?
Find the coordinates of the
midpoint M. *
A(-4,-8) and B(-1,4)
Please provide an explanation
Answer:
M(-5/2, -2)
Step-by-step explanation:
Add the x-coordinates & divide by 2.
Add the y-coordinates and divide by 2.
x-coordinates: -4, -1
(-4 + (-1))/2 = -5/2
y-coordinates: -8, 4
(-8 + 4)/2 = -4/2 = -2
M(-5/2, -2)
PLEASE HELP PLEASE!!!!! NO LINKS!!!
Answer:
Step-by-step explanation:
a) profits = 30,000 + (30,000 * .05 * years)
P(y) = 30,000 + 1500y
b) P(15) = 30,000 + 1500*(15)
P(15) = 52,500
If x < 0 and y < 0, what guadrant is the point (x, y) located
Answer: Third quadrant
This can be written as Q3 or QIII
This quadrant is in the southwest.
===========================================
Explanation:
There are 4 quadrants on the xy plane. They are separated by the x and y axis. Think of it like 4 separate rooms.
The first quadrant Q1 is located in the northeast where x > 0 and y > 0. Both x and y are positive together. An example point from this region would be something like (5,2)The second quadrant, Q2 or QII, is in the northwest. An example point from here is (-5,2). We can see that x < 0 and y > 0.The third quadrant (Q3) is where both x and y are negative. So x < 0 and y < 0. An example point would be (-5,-2). This quadrant is in the southwest.Finally, if x > 0 and y < 0, then we're in the southeast quadrant Q4. An example point is (5,-2)As you can see, the quadrants move in a counterclockwise fashion when going from Q1 to Q2 to Q3 to Q4.
Quadrants 1 and 4 have x,y that are the same sign together. Either they're both positive together, or they're both negative together. Quadrants 2 and 3 have x,y as opposite signs (one is positive and the other is negative).
Which number line represents the solutions to -2x = -6?
Answer:
3
Step-by-step explanation:
-2x = -6
or, x = -6 / -2
or, x = 3
Ayudenme con esto porfavoor
Figura 1 = ⅓
Figura 2 = ½
Figura 3 = 4/7
Figura 4 = 4/9
↦ Count all the shaded regions (for numerator) & all the parts of the figure (for denominator).
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
which statement best describes a line in slope-intercept form when the coefficient of the x-trm is negative
Answer:
it's a negative slope
Step-by-step explanation:
**btw; not all slopes with a negative cefficient will look exactly like this, but as log as it has a negative coefficient, it will be negative and look somewhat similar**
What conclusion would be true given the hypothesis?
Answer:
4th option
Step-by-step explanation:
If ∠ 1 = ∠ 2 = ∠ 3
Then ∠ 1 = ∠ 3 is true
Answer:
The second one the measure of angle?1 is less then angle 3 is the correct answer.
If px-3+qx+1=2x+3,Find the value of p+q
How many numbers? How many numbers are there from 421 to 430? How many numbers are there from 567 to 573? How many numbers are there from 890 to 898?
what method you used to find out the numbers between one number and another
Answer:
9,6,8 but if you mean like all the numbers its infinite because you can add decimals and the number will never end
Show all work to solve 3x2 - 5x – 2 = 0.
Answer:
[tex]3x\cdot \:2-5x-2=0[/tex]
[tex]6x-5x-2=0[/tex]
[tex]6x-5x=x[/tex]
[tex]x-2=0[/tex]
[tex]x-2+2=0+2[/tex]
[tex]x=2[/tex]
[tex]-----------[/tex]
Hope it helps..
Have a great day!!
Answer:
2, -1/3
Step-by-step explanation:
3x^2 - 5x - 2 = 0
Find the factors of 3*-2 that are the same as the addends for -5:
3*-2 = -6
Factors of -6: -6*1
Addends: -6 + 1
3x^2 - 6x + x - 2 = 0
(3x^2 - 6x) + (x - 2) = 0
(factor in each parantheses)
3x(x - 2) + 1(x - 2) = 0
(3x + 1)(x - 2) = 0
(set each of the terms to 0 and solve)
3x + 1 = 0
3x = -1
x = -1/3
x - 2 = 0
x = 2
Hope it helps (●'◡'●)
