Answer and Step-by-step explanation:
To find the length of PQ, we need to set the length of PQ equal to the length of QR (since in the question it tells us that PQ is equal to QR).
PQ = QR
x + 1 = 12
Solve for x.
Subtract 1 from both sides of the equation.
x + 1 - 1 = 12 - 1
x = 11
Now plug this number into the expression length for PQ.
11 + 1 = 12
The length of PQ is 12.
(you can also see that QR has a length of 12, so we can just say that PQ 12).
#teamtrees #PAW (Plant And Water)
I hope this helps!
what is 174 dived by 6 and how u solved it
Answer:
Step-by-step explanation:
187 divided by 7 is 6.5
Answer: 29
Step-by-step explanation:
174 = dividend
6 = divisor
The divisor (6) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend. Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
Move down the 2nd digit of the dividend (7) like this:
0
6 ⟌ 1 7 4
- 0
1 7
Multiply the divisor by the result in the previous step (6 x 2 = 12) and write that answer at the bottom:
0 2
6 ⟌ 1 7 4
- 0
1 7
1 2
Subtract the result in the previous step from the number written above it. (17 - 12 = 5) and write the answer at the bottom.
0 2
6 ⟌ 1 7 4
- 0
1 7
- 1 2
5
Move down the last digit of the dividend (4) like this:
0 2
6 ⟌ 1 7 4
- 0
1 7
- 1 2
5 4
Multiply the divisor by the result in the previous step (6 x 9 = 54) and write the answer at the bottom:
0 2 9
6 ⟌ 1 7 4
- 0
1 7
- 1 2
5 4
5 4
Subtract the result in the previous step from the number written above it. (54 - 54 = 0) and write the answer at the bottom.
0 2 9
6 ⟌ 1 7 4
- 0
1 7
- 1 2
5 4
- 5 4
0
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 174 divided by 6 calculated using Long Division is:
29
0 Remainder
Its long but your welcome :)
Please someone help
[tex]\begin{array}{l}\begin{cases} \begin{array}{l}\sin \alpha =\frac{x}{12} \Leftrightarrow x=12\sin \alpha \end{array}\\\cos \alpha =\frac{y}{12} \Leftrightarrow y=12\cos \alpha \end{cases}\\\\\text{Thus,\ the\ area\ is}\\\\A=\frac{xy}{2} =\frac{12\sin \alpha \cdotp 12\cos \alpha }{2}\\\\\Longrightarrow A=72\sin \alpha \cos \alpha \end{array}[/tex]
D
A population of rabbits at time t increases at a rate of 40-12t+3t^2 rabbits per year where t is measured in years. Find the population after eight years if there are 10 rabbits at t=0?
We have to find derivative of t
[tex]\\ \sf\longmapsto \dfrac{d}{dx}3t^2-12t+4[/tex]
[tex]\boxed{\sf \dfrac{d(x^n)}{dx}=nx^{n-1}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{d}{dx}3t^2-\dfrac{d}{dx}12t+\dfrac{d}{dx}40[/tex]
[tex]\\ \sf\longmapsto 6t-12[/tex]
Now
t=8..[tex]\\ \sf\longmapsto 6(8)-12[/tex]
[tex]\\ \sf\longmapsto 48-12[/tex]
[tex]\\ \sf\longmapsto 36[/tex]
Jessica, an experienced bungee jumper, leaps from a tall bridge and falls toward the river below. The bridge is 200 feet above the water and Jessica's bungee cord is 130
feet long unstretched. When will Jessica's cord begin to stretch? Round your answer to two decimal places
Answer:
70 feet above the water will it begin to stretch.
Step-by-step explanation:
200 - 130 = 70
The relative frequency table below displays the proportion of 40 residents in an apartment complex who prefer certain social media sites.
Upstart, 0.10; Aster, 0.25; Babble, 0.35; Techy, 0.30.
Which of the following is the corresponding frequency table?
Upstart, 10; Aster, 25; Babble, 35; Techy, 30.
Upstart, 8; Aster, 12; Babble, 10; Techy, 10.
Upstart, 4; Aster, 14; Babble, 10; Techy, 12.
Upstart, 4; Aster, 10; Babble, 14; Techy, 12.
Answer:
D
Step-by-step explanation:
multiply each number by 40
ex:
.10x40=40
Answer:d
Step-by-step explanation:
At the 2010 Olympics in Vancouver, Yu-Na Kim scored 226.56 points in woman's figure skating. Akiko Suzuki scored 181.44 points in the event. About how many more points did Yu-Na Kim score than Akiko Suzuki?
Answer:
5 more matches was won by yu-na kim
Someone please help me.
This pool has a deep end and a shallow end.The pools perimeter is 70 ft.Hiw wide is the deep end,d?
Work Shown:
L = d+9 = length along the horizontal
W = 10 feet = width along the vertical
P = 2(L+W) = perimeter of rectangle = 70 feet
70 = 2(d+9+10)
70/2 = d+19
35 = d+19
d+19 = 35
d = 35-19
d = 16
The deep end is 16 feet wide
is 2π greater than √44
9514 1404 393
Answer:
no
Step-by-step explanation:
2π ≈ 6.28
√44 ≈ 6.63
2π < √44
What is 8(9h - 6) simplifyed
a window is 9ft long. It is x feet longer than it is high. What is the height of the window.
The height of the window is 9-x feet.
Given that, a window is 9 ft long. It is x feet longer than it is high.
We need to find what is the height of the window.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Here, the length of the window = 9 ft
Then, the height of the window = x feet smaller than the length = 9-x feet
Therefore, the height of the window is 9-x feet.
To learn more about an expression visit:
https://brainly.com/question/28170201.
#SPJ2
-31+(-42)=
38+(-43)=
Answer:
-31+(-42)= -31-42 = -73
38+(-43)= 38-43 = -5
(-) - (-) = +
(-)+(-) = +
(-)+(+) = -
What is the value of 2x^2+5y-8 when x=2 and y=4
Answer:
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.
Step-by-step explanation:
express 8% as a decimal fraction
Hello :D
The answer is 0.08
I hope this helps :)
step by step explaining
how to multiply 2 digit number to 2 digit number..
15/45 turned into a decimal
15/16 turned into a decimal
1/8 turned into a decimal
.875 turned into a fraction
.4375 turned into a fraction
.625 turned into a fraction
.03 turned into a fraction
40% turned into a fraction
Answer:
0.33333333
0.9375
0.125
7/8
7/16
5/8
3/100
4/10 or 40/100
Step-by-step explanation:
What is the next term in the geometric sequence? 1,4,-16,64
Answer:
256
Step-by-step explanation:
1,4,16,64,256
As 4 is being multiplied in each case.
Find an ordered pair (x, y) that is a solution to the equation. 4x-y=4 (x, y) = 00 X Х ?
How do you get 2.5 out of 20/8
9514 1404 393
Explanation:
If you can't operate a calculator, perhaps you can do long division. The attachment shows the work for that.
__
[tex]\dfrac{20}{8}=\dfrac{5\cdot4}{2\cdot4}=\dfrac{5}{2}\\\\=\dfrac{5\cdot5}{2\cdot5}=\dfrac{25}{10}=2.5[/tex]
We assume that you know dividing by 10 moves the decimal point one place left.
a community center is trying to raise $1680 to purchase exercise equipment. the center is hoping to receive equal contributions from members of the community. write and algebraic expression to determine how much will be needed from each person if n people contribute. Then evaluate the expression for 10, 12, 14, or 16 people.
Lets find f(n) formula
[tex]\boxed{\sf f(n)=\dfrac{1680}{n}}[/tex]
Now
[tex]\\ \sf\longmapsto f(10)=\dfrac{1680}{10}=168[/tex]
[tex]\\ \sf\longmapsto f(12)=\dfrac{1680}{12}=140[/tex]
[tex]\\ \sf\longmapsto f(16)=\dfrac{1680}{16}=105[/tex]
[tex]\\ \sf\longmapsto f(14)=\dfrac{1680}{14}=120[/tex]
2. The equation of a circle is x2 + y2 – 4x + 6y – 77 = 0.
a) Find the x-coordinates of the points A and B where the circle intersects the x-axis.
b) Find point of intersection of the tangents to the circle at A and B.
a) The x-coordinates of the points A and B are [tex]x_{A} = 11[/tex] and [tex]x_{B} = -7[/tex].
b) The point of intersection of the tangents to the circle at A and B is [tex](x,y) = (2, 27)[/tex].
a) In this part we simplify the equation of the circle and solve for [tex]x[/tex] to determine the coordinates associated to the required points:
The coordinates of the two points so that circle intersects the x-axis, occurs when the following condition is met:
[tex]f(x, 0) = 0[/tex] (1)
Where [tex]f(x,y)[/tex] is in implicit form.
If we know that the equation of the circle is [tex]x^{2} + y^{2} - 4\cdot x + 6\cdot y - 77 = 0[/tex] and [tex]y = 0[/tex], then the reduced equation is:
[tex]x^{2} - 4\cdot x - 77 = 0[/tex] (2)
And we obtain the x-coordinates of the points by factoring (2):
[tex](x-11) \cdot (x + 7) = 0[/tex]
The x-coordinates of the points A and B are [tex]x_{A} = 11[/tex] and [tex]x_{B} = -7[/tex].
b) Lines are defined by both slope and intercept. Slope is defined by implicit differentiation and intercept is found by equation of the line.
Given that [tex]A(x,y) = (11, 0)[/tex] and [tex]B(x,y) = (-7, 0)[/tex], we determine line equations corresponding to each tangent line:
Slope
[tex]2\cdot x + 2\cdot y \cdot \dot y - 4 + 6\cdot \dot y = 0[/tex]
[tex](2\cdot y + 6)\cdot \dot y = 4 - 2\cdot x[/tex]
[tex]\dot y = \frac{2 - x}{y + 3}[/tex]
Point A
[tex]\dot y = \frac{2-11}{0 + 3}[/tex]
[tex]\dot y = -3[/tex]
Point B
[tex]\dot y = \frac{2-(-7)}{0 + 3}[/tex]
[tex]\dot y = 3[/tex]
Intercept
Point A ([tex]A(x,y) = (11, 0)[/tex], [tex]\dot y = -3[/tex])
[tex]b = y - m\cdot x[/tex]
[tex]b = 0 - (-3)\cdot (11)[/tex]
[tex]b = 33[/tex]
Point B ([tex]B(x,y) = (-7, 0)[/tex], [tex]\dot y = 3[/tex])
[tex]b = y - m\cdot x[/tex]
[tex]b = 0 - 3\cdot (-7)[/tex]
[tex]b = 21[/tex]
The equations of the lines tangent to the circle are:
[tex]y = -3\cdot x +33[/tex] (3)
[tex]y = 3\cdot x +21[/tex] (4)
The point of intersection is the solution of this system of linear equations:
[tex](x,y) = (2, 27)[/tex]
The point of intersection of the tangents to the circle at A and B is [tex](x,y) = (2, 27)[/tex].
We kindly invite you to see this question on circles: https://brainly.com/question/23988015
6 + [-25 = (-3 + 2. 1)]
Answer:
6+[25=(-0.9)]
6+[-22.5]
-16.5
Step-by-step explanation:
the answe of this question will be -16.5
Simplify the expression. 10 (n^2+ n) - 6 (n^2 - 2)
please mark this answer as brainlist
What is the 8th number in the arithmetic sequence 26, 31, 36, 41, 46...
Answer 61
Step-by-step explanation:
The answer is 61 bc the pattern is +5
Answer:
26, 31, 36, 41, 46, 51, 56, 61
the eighth number is 61.
Step-by-step expanation:
10. The product of two integers is -18. The difference between the integers is 9. The sum of the
integers are 3. What are the two integers?
Answer:
x = 6
y = - 3
Step-by-step explanation:
x * y = - 18
x - y = 9. 3-y-y = 9. 3 -2y = 9.
-2y = 9-3
y = 6/-2
y = -3
x + y = 3. x = 3-y
x * -3 = - 18
x = -18/-3
x = 6
20 points help quick
Answer:
6s-36 is the answer . Hope this helps you.
Answer:
6(x-6) = 6x-36
Step-by-step explanation:
Answer the question please
To find the perimeter of a rectangle, you add up 2 times the length and 2 times the width. Here's the expression: [tex]2l+2w[/tex]. In this case l=22 or l=27.7 and w=27.7 or w=22. In the end, you get: [tex]2l+2w=99.4[/tex]. [tex]22*2=44. \\27.7*2=55.4[/tex].
Area:To find the area of a rectangle, you multiply the length by the width. Here's the expression: [tex]lw[/tex]. In this case l=22 or l=27.7 and w=27.7 or w=22. In the end, you get: [tex]22*27.7=609.4[/tex].
Side note:
It doesn't matter what l or w equal because There's a property in addition that says it doesn't matter which order the values go in. There's also a property in multiplication that it doesn't matter which order the values go in (same as addition).
Will give brainliest!
Answer:
the area!!!
Step-by-step explanation:
2(a+b)h
to find b you have to know the base of the triangle. you may use pythagoras' theorem for that. you will then get 5ft as the base.
5ft + 48ft = 53ft.
put in the formula, the area is then
2(48+53)*13
am not with a calculator.... so sort it out....
I think you can get the rest with this...
CAN SOMEONE PLZ HELP ME
Answer:
Slope intercept is y = mx+b.
SLOPE is m
and Y-INTERCEPt, where the thing touches the y axis is b.
The line touches the y axis at -6.
The slope is 2/3
y=2/3x-6
Step-by-step explanation:
Solve the following system of equations, using any method. Express your answers in one decimal place.
Answers:
x = 0y = 6.9The value of x is exact. The y value is approximate.
==================================================
Explanation:
Let's subtract the equations straight down.
The x terms subtract to -22x since 9x-31x = 22xThe y terms go away because 7y-7y = 0The terms on the right hand side subtract to 0After doing those three sets of subtractions, we have the new equation -22x = 0. This solves to x = 0 after dividing both sides by -22.
Plug this x value into any of the two original equations to solve for y
9x + 7y = 48
9(0) + 7y = 48
7y = 48
y = 48/7
y = 6.857 approximately
y = 6.9
Ana sold $234,654 in sales. She earns a 14.5% commission on all sales. Find her commission.
Step-by-step explanation:
$334,654 ×14,5% = $34,024.83
therefore that is your answer