What is the area of her figure? Use 3.14 for T. *
Nora draws a figure on a piece of paper as shown.
Answer:
nm,l
Step-by-step explanation:
The lot is 48 feet wide.
The dividers are each 2 feet wide.
What is the value of x?
Answer:
b. 17
Step-by-step explanation:
Answer:
x=17
Step-by-step explanation:
180=7x+28+33
180=7x+61
180-61=7x+61-61
119=7x
119÷7=7x÷7
17=x
As part of your exercise routine, you jog around the neighborhood block which is shaped like a right triangle. Your street, the hypotenuse of the triangle, is 850 feet long. If the total distance around your block is 2000 feet, what are the distances of the other two streets that enclose your block?
Answer:
The other distances are 400 ft and 750 ft.
Step-by-step explanation:
a + b + c = 2000
a + b + 850 = 2000
a + b = 1150 Equation 1
a^2 + b^2 = c^2
a^2 + b^2 = 850^2
a^2 + b^2 = 722,500 Equation 2
a + b = 1150
a^2 + b^2 = 722,500
a = 1150 - b
(1150 - b)^2 + b^2 = 722,500
1,322,500 - 2300b + b^2 + b^2 = 722,500
2b^2 - 2300b + 600,000 = 0
b^2 - 1150b + 300,000 = 0
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] x = \dfrac{-(-1150) \pm \sqrt{(-1150)^2 - 4(1)(300,000)}}{2(1)} [/tex]
[tex] x = \dfrac{1150 \pm \sqrt{1,322,500 - 1,200,000}}{2} [/tex]
[tex] x = \dfrac{1150 \pm \sqrt{122,500}}{2} [/tex]
[tex]x = \dfrac{1150 \pm 350}{2}[/tex]
[tex] x = \dfrac{1500}{2}~~~or~~~x = \dfrac{800}{2} [/tex]
x = 750 or x = 400
Answer: The other distances are 400 ft and 750 ft.
Find the values of a, b, and c for the equation in standard form (y=ax^2+bx+c) of the graph of the parabola shown below.
a =____________
b = ___________
c = ___________
Answer:
[tex] \boxed{ \boxed{ \mathfrak{a = - \frac{1}{2 } \: b = 2 \: c = 4}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:quadratic equationPEMDAStips and formulas:the parabola crosses f(x) at (4,0)the vertex of the parabola (2,6)vertex:(h,k)h=-b/2ak=f(x)vertex form:f(x)=a(x-h)²+kstandard form:ax²+bx+clet's solve:the vertex form of the equation is
[tex] \sf f(x) = a(x - 2 {)}^{2} + 6[/tex]let's figure out a
since the parabola crosses f(x) at (0,4)
therefore
[tex] \sf a(0 - {2)}^{2} + 6 = 4[/tex][tex] \sf simplify \: parentheses : \\ \sf a( - 2 {)}^{2} + 6 = 0[/tex][tex] \sf simplify \: squres : \\ \sf \: 4a + 6 = 4[/tex][tex] \sf cancel \: 6 \: from \: both \: sides : \\ \sf 4a + 6 - 6 = 4 - 6 \\ \sf 4a = - 2 [/tex][tex] \sf divide \: both \: sides \: by \: 4 : \\ \sf \frac{4a}{4} = - \frac{ 2}{4} \\ \sf a = - \frac{1}{2} [/tex]let's figure out b,c
we have to substitute the value of a into the vertex form and then simply it to get b and c[tex] \sf substitue \: the \: value \: of \: a \: into \: the \: vertex \: form \: of \: the \: equation : \\ \sf \frac{1}{2} (x - 2 {)}^{2} + 6[/tex][tex] \sf use \: (a - b {)}^{2} = {a}^{2} - 2ab + {b}^{2} \: to \: simplify \: the \: exponet : \\ \sf - \frac{1}{2} ( {x}^{2} - 2.x.2 + {2}^{2} ) + 6 \\ \sf - \frac{1}{2} ( {x}^{2} - 4x + 4) + 6[/tex][tex] \sf distribut e \: - \frac{1}{2} \: between \: the \: parentheses : \\ \sf - \frac{1}{2} x + 2x - 2 + 6[/tex][tex] \sf add : \\ \sf - \frac{1}{2} x + 2x + 4[/tex]therefore
[tex] \sf \: b = 2[/tex][tex] \sf \: c = 4[/tex2) What angle measurement will make the value of sine and cosine
equal?
A) 30°
B)
45°
C) 60°
D 90°
What is the GCF of 4x^ 2 +6x
Answer:
The GCF of 4x^2 + 6x
is. (2x )
hope it helps
2x
Please help. I need to show the work.
Show the fraction, decimal, and final percent for each. Round your percent to the
nearest whole.
66 out of 85 on a project
Answer:
66 to 70 and 85 to 90
Step-by-step explanation:
Lauren invests money in an accout paying simple interest.She invests $50 and no money is added or removed from investments.After one year she has $50.50.What is the simple percent of interest per year
Answer:
1%
Step-by-step explanation:
\text{\color{blue}{100\%} represents the \color{blue}{starting balance}: \color{blue}{\$50}.}
100% represents the starting balance: $50.
Method 1
Express the ending balance as a percentage of the starting balance:
\frac{\color{darkviolet}{\$50.50}}{\color{blue}{\$50}}=
$50
$50.50
=
\,\,1.01
1.01
1.01\times100=
1.01×100=
\,\,\color{darkviolet}{101\%}
101%
\text{Subtract the starting \color{blue}{100\%} to get the \color{green}{percent interest}:}
Subtract the starting 100% to get the percent interest:
\color{darkviolet}{101\%}-\color{blue}{100\%}=
101%−100%=
\,\,\boxed{\color{green}{1\%}}
1%
Help me on this plzzzz :((((((
Answer:
A. A
Step-by-step explanation:
A flower box measures 8 ft by 3 ft by 2 ft. Find the amount of soil that can fit in the box.
Answer: 48ft cubed (48ft^3)
Steps:
Volume- lwh
8 * 3 * 2
24 * 2 = 48
48ft^3 (48 feet cubed)
Please Help Will Give Brainlist
2a+2=6
Answer: 4a
Step-by-step explanation:
Answer:
a = 2
Step-by-step explanation:
2a + 2 = 6
2a + 2 - 2 = 6 - 2
2a = 4
2a / 2 = 4 / 2
a = 2
Hope this helps and I would appreciate if you give me the brainlist or not, thank you :) !!
sales of 10 000 increase by 65 each year
Answer:
Whats the question
Step-by-step explanation:
also if you are looking for the unit rate its 153.846...
or if you are looking for how many in 2 years then 650,000
Hope this helps
Have a nice day :)
A globe of the moon has a radius of 13 centimeters. Find the volume of the globe. Round your answer to the nearest whole number.
Answer:
9203 cm³
Step-by-step explanation:
A globe of the moon has a radius of 13 centimeters. Find the volume of the globe. Round your answer to the nearest whole number.
The shape of the moon is spherical
Hence:
The volume of a sphere
= 4/3 × π × r³
r = radius = 13 cm
= 4/3 × π × 13³
= 9202.77 cm³
Approximately to the nearest whole number = 9203 cm³
Therefore, the volume of the globe is 9203 cm³
a car travels a distance of 50 km in 30 minutes. what is the average speed
Answer:
100 km/hour, or 16.67 km/minute
Step-by-step explanation:
NEED HELP ASAP
evaluate each expression for the given value(s) of the valube(s)
c-:2 when c=26
5(9+d)-6 when d=3
g^(2)+23 when g=6
3h-j when 8 and j=11
(n-2)× m when n= 5 and m=9
r(s^(2))(t)=2,s=3, and t=5
Answer:
times 3
Step-by-step explanation:
add 8 and plus the 10
WILL MARK AS BRAINLIEST PLEASE HELP!!!
Step-by-step explanation:
2x = y-10
Rewrite as: 2x + 10 = y
Therefore:
2x+10 = y
2x +7 = 2y
Subtract the equations:
2x + 10 = y
- 2x + 7 = 2y
______________
3 = -y
Therefore y = -3
Substiture y = -3 into the second equation:
2x + 7 = 2(-3)
2x + 7 = -6
2x = -13
x= -6.5
Answer : (-6.5, -3)
Answer:
(-13/2,-3)
Step-by-step explanation:
First you want to isolate y from 2x=y-10 or 2x+7=2y. In this case, I picked 2x=y-10 so I added 10 on each side to make y=2x+10. Because we know what y is equal to, we have to plug that into the other equation which is 2x+7=2y so the equation will look like 2x+7=2(2x+10). Simplify this to get 2x+7=4x+20. Simplify this again to get 2x=-13. Divide 2 by each side to get x=-13/2. Then, you have to -13/2 back into one of the equations. In this case, I picked 2x+7=2y so the equation will look like this. 2(-13/2)+7=2y. Simplify this to get -13+7=2y. Simplify again to get -6=2y. Simplify this again to get y=-3. Therefore, x=-13/2 and y=-3. To put it in ordered pair form which is (x,y). Plug that in to get (-13/2,-3).
If this has helped you, please mark the is brainliest
If berry has 30 ounces of coke and sells each ounce for 8 bucks an ounce how many ounces do you get if you spend 13 dollars on coke.
6. Which is the solution to the system of equations
Answer:
Lets solve using elimination method
(x+y=-7)*-2
3x+2y=-17
-2x-2y=14
+
3x+2y=-17
x=-3
so lets substitute now
-3+y=-7
y=-7+3
y=-4
answer = (-3,-4)
mark me brainliest
HOPE IT HELPS :)
For brainiest:):):):):):)
Answer:
5 Feet per second.
f = feet s = seconds
Equation
f = 5s
geometry unit 5 homework 5
Answer:
Oh gosh- I'm learning geometry in school. IDEK WHATS HAPPENING! But where's the question? Is there supposed to be a file attached or something?
What is the area of the circle shown? Use 3.14 for pi.
Help me please I need to pass this test
if all the areas of the spinner are the same size, what is the probability the spinner will land on a spuare? WRITE AS A PERCENT
There are 100 calories in 8 fluid Ounces of orange juice and 140 calories in 8 fluid Ounces of pineapple juice. Tia mixed 4 fluid Ounces of each juice. Complete and solve the equation to find the number of calories in each fluid Ounce of Tia's juice mixture. 140 = 8x 2 X= There are calories in each fluid ounce of Tia's juice mixture.
Answer:
15 calories
Step-by-step explanation:
Number of calories in 8 ounces of orange juice = 100
Number of calories in 1 ounce of juice = 100/8
Number of calories in 4 ounces of juice = 100/8 x 4 = 50 calories
Number of calories in 8 ounces of pineapple juice = 140
Number of calories in 1 ounce of juice = 140/8
Number of calories in 4 ounces of pineapple juice= 140/8 x 4 = 70 calories
Now the mixture has 50 + 70 = 120 calories in 8 ounce.
So, 1 ounce of mixture has 120/8= 15 calories.
Martin got a haircut yesterday if he pad $27 and left an 18% tip, what was the total bill
======================================================
Work Shown:
x = total bill amount ignoring the tip
18% of x = 0.18x = tip amount
x+0.18x = 1.18x = amount Martin paid = 27
1.18x = 27
x = 27/1.18
x = 22.8813559322033 approximately
x = 22.88 dollars was the total bill.
----------
Checking the answer:
18% of 22.88 = 0.18*22.88 = 4.1184 = 4.12
Martin left a tip of $4.12
Add this on top of the bill to get 22.88+4.12 = 27
This matches with the fact he paid $27.
The answer is confirmed.
The surface area of this cube is 864 square yards. What is the value of q?
Answer:
Volume
=
512
cubic feet
Explanation:
A cube has
6
faces all with equal area.
If the total surface area of the cube is
384
sq.ft.
then each face has an area of
384
÷
6
=
64
sq.ft.
Each face of a cube is a square and if we denote the length of an edge as
E
then the area of a face (in this case
64
sq.ft.) is equal to
E
2
XXX
E
2
=
64
sq.ft.
XXX
→
E
=
8
sq.ft.
The volume of a cube with edges of length
E
is
E
3
In this case
Volume
=
E
3
=
8
3
=
512
sq.ft.
Hope i helped
If 1700 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Answer:
[tex]V = 6746.30cm^3[/tex]
Step-by-step explanation:
Given
[tex]Surface\ Area = 1700cm^2[/tex]
Required
Determine the largest possible volume
Represent the dimension with:
[tex]Height = h[/tex]
[tex]Sides = x[/tex]
Surface Area with an open top is:
[tex]Surface\ Area = x^2+ 4hx[/tex]
Substitute 1700 for Surface Area
[tex]1700 = x^2+ 4hx[/tex]
Make h the subject
[tex]4hx = 1700 - x^2[/tex]
[tex]h = \frac{1700 - x^2}{4x}[/tex]
The volume (V) is calculated as:
[tex]V = x^2h[/tex]
Substitute value for h in [tex]V = x^2h[/tex]
[tex]V = x^2*\frac{1700 - x^2}{4x}[/tex]
[tex]V = x*\frac{1700 - x^2}{4}[/tex]
[tex]V = \frac{1700x - x^3}{4}[/tex]
[tex]V = \frac{1700x}{4} - \frac{x^3}{4}[/tex]
[tex]V = 425x - \frac{x^3}{4}[/tex]
[tex]V = 425x - \frac{1}{4}x^3[/tex]
Differentiate and equate to 0, afterwards
[tex]V' =425 - \frac{3}{4}x^2[/tex]
[tex]425 - \frac{3}{4}x^2 = 0[/tex]
[tex]\frac{3}{4}x^2 = 425[/tex]
Solve for [tex]x^2[/tex]
[tex]x^2 = 425 * \frac{4}{3}[/tex]
[tex]x^2 = 566.67[/tex]
Take the square root of both sides
[tex]x = \sqrt{566.67[/tex]
[tex]x = 23.80[/tex]
Substitute 23.80 for x in [tex]h = \frac{1700 - x^2}{4x}[/tex]
[tex]h = \frac{1700 - 23.80^2}{4*23.80}[/tex]
[tex]h = \frac{1133.56}{95.20}[/tex]
[tex]h = 11.91[/tex]
So, the largest possible volume is:
[tex]V = x^2h[/tex]
[tex]V = 23.80^2 * 11.91[/tex]
[tex]V = 6746.30cm^3[/tex]
A company was able to increase its staff from 200 employees to 348
employees. What was the percentage increase in staff?
Answer:
The percent increase is 74%
Step-by-step explanation:
Copy and Paste
6x + 7b - 7x + 10x
What is the answer to this question?
Answer:7b+9x
Step-by-step explanation:hope I helped