Answer:
Area of rectangle = 65/8 yd²
Step-by-step explanation:
The area of the rectangle is the length multiplied by the width. In this case, we are given the length 3 1/4 yd and the width 2 1/2 yd wide. Therefore,
⇒ Area of rectangle = (L × B) = (3 1/4 × 2 1/2) yd²
It is suggested to convert the terms in the expression (3 1/4 × 2 1/2) to improper fraction. Therefore,
⇒ Area of rectangle = [(3 × 4) + 1]/4 × [(2 × 2) + 1]/2 yd²
⇒ Area of rectangle = [(12) + 1]/4 × [(4) + 1]/2 yd²
⇒ Area of rectangle = [13]/4 × [5]/2 yd²
⇒ Area of rectangle = 13/4 × 5/2 yd²
Simplify the expression on the right hand side to determine the area.
⇒ Area of rectangle = 65/8 yd²
Thus, the area of the rectangle is 65/8 yd².
Solve the quadratic equation by completing the square and applying the square root property.
u2 + 20u + 101 = 0
Answer: u = -10 + i or u = -10 - i
Step-by-step explanation:
[tex]\begin{aligned}&u^{2}+20 u+101=0 \\&u^{2}+10^{2}+2 \times 10 \times 6 u+101-1000=0 \\&(u+10)^{2}=-1\end{aligned}[/tex]
[tex]\begin{aligned}&u+10=\pm \sqrt{-1} \\&u+10=\pm i \\&u=-10 \pm i \\&\bold{u=-10+i \quad \text { or } u=-10-i}\end{aligned}[/tex]
Answer:
[tex]u = - 10 + i, \: \: - (10 + i)[/tex]
Step-by-step explanation:
[tex] {u}^{2} + 20u + 101 = 0 \\ \\ \implies \: {u}^{2} + 20u + 100 + 1 = 0 \\ \\ \implies \: {u}^{2} + 20u + {(10)}^{2} + 1 = 0 \\ \\ \implies \: {(u + 10)}^{2} = - 1 \\ \\ \implies \: {u + 10} = \pm\sqrt{ - 1} \\ \\ \implies \: {u} = \pm \: i - 10\\ \\ u = i - 10 \: \: or \: \: u = - i - 10 \\ \\ u = i - 10 \: \: or \: \: u = - (10 + i) \\ \\ u = - 10 + i, \: \: - (10 + i)[/tex]
Find the perimeter of the figure below. Show all work for each step. Work should include explanations in words detailing how you simplify each specific radical. Take your time and be thorough. Include units in final answer.
Applying the knowledge of radicals, the perimeter of the given triangle is calculated as: 63√6 cm
What is the Perimeter of a Triangle?To find the perimeter of a triangle, add up the length of all its three sides.
Given the trangle in the image:
Perimeter = 12√54 + 15√6 + 6√24
Simplify each radicals
12√(9 × 6) + 15√6 + 6√(4 × 6)
12 × 3√6 + 15√6 + 6 × 2√6
36√6 + 15√6 + 12√6
Add like radicals together
Perimeter = 63√6 cm
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A shelf is 3/4 yard long. How many boxes that are each 1/8 yard wide can be put side by side on the shelf?
Answer:
6
Step-by-step explanation:
3/4=6/8 which means 6 1/8's can fit
Answer:
(3 1/2 ft.) / 5/8 in.
Step-by-step explanation:
both values must be in same increments; change feet to inches
3 1/2 ft = 7/2 ft
(7/2) 12/1 = 42 in.
Then: 42 / (5/8)
42 (8/5)
336/5
67 1/5
you can stack 67 books
A right square pyramid is shown. The height of the pyramid is 40 units. The distance from the center of the base of the pyramid to vertex D is 30units, as shown.
Enter the length of segment AD, in units
Answer:
c=a2+b2
use the Pythagorean Theorem
Your invest $88,000 a CD that is locked into a 1.75% interest rate compounded monthly for seven years how much will Urich have an account with the CD matures
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$88000\\ r=rate\to 1.75\%\to \frac{1.75}{100}\dotfill &0.0175\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &7 \end{cases}[/tex]
[tex]A=88000\left(1+\frac{0.0175}{12}\right)^{12\cdot 7}\implies A=88000\left( \frac{4807}{4800}\right)^{84}\implies A\approx 99459.21[/tex]
I need help with number three please someday help it’s stats
Answer:
I don't really know but I'm curious haha
pls answer me thus question
Answer:
iii is the correct answer (the third one)
Step-by-step explanation:
additive inverse is the same as the reciprocal
It is when the denominator and numerator are swapped around
So the inverse of 3/9 is 9/3
Brainliest would be appreciated
Order these numbers from least to greatest.
7.773, 157/20, 7.77, 7 9/11
Answer:
7.77, 7.773, 7 9/11, 157/20
Step-by-step explanation:
First, convert any fractions to decimals to make it a bit easier to order.
7.773, 157/20, 7.77, 7 9/11
157/20 = 7.857 9/11 => 86/11 => 7.82Now we have:
7.773, 7.85, 7.77, 7.82
Order from least to greatest:
7.77, 7.773, 7.82, 7.85
Rewrite using the original numbers in the question:
7.77, 7.773, 7 9/11, 157/20
Hope this helps!
Which is a step in the process of calculating successive discounts of 8% and 10% on a $50 item?
a. take 2% of $50
b. take 8% of $46
c. take 10% of $46
d. take 18% of $50
Answer:
C. take 10% of $46
Step-by-step explanation:
Hope this helps you! :)
Which object would have a measurable volume? A bunch of polaroid pictures. A beach ball. A sheet of loose leaf paper. A checker board.
Help!!
Answer:
its ethier the photo or the beach ball but i dont know which is
Step-by-step explanation:
Answer:A beach ball.
Step-by-step explanation:
Give the equation of the circle centered at the origin with radius 3.
Here are the results of a survey of 525 people in a town.
• 135 females speak Welsh.
• 163 males do not speak Welsh.
• 238 people do not speak Welsh.
Use the results of the survey to work out the ratio
males in town who speak Welsh : males in town
please help find x and mDE
Answer:
x = 16
measure of Arc(DE) = 167°
Step-by-step explanation:
Since the arc EFG make a straight angle, we can infer;
180° = Arc(EF) + Arc(FG)
180° = (x-3)° + (12x - 25)°
180° = 13x - 28
208 = 13x
16 = x
Arc GF and DE are vertical angles so if you find the measure of Arc GF then it's the same as measure of Arc DE
mDE = mGF
mDE = 12x - 25
mDE = 12(16) - 25
mDE = 192 - 25
mDE = 167°
Hope this helps!
x/50=40/64 solve for x
X/50 = 40/64
To find x cross multiply:
64 * x = 50 * 40
Simplify:
64x = 2000
Divide both sides by 64:
X = 31.25
Answer:
x = [tex]\frac{125}{4}[/tex]
Step-by-step explanation:
[tex]\frac{X}{50}[/tex] = [tex]\frac{40}{64}[/tex]
Divide both sides of the equation by the coefficient of variable
X = [tex]\frac{40}{64}[/tex] x 50
Simplify the fractions:
x = [tex]\frac{5}{4}[/tex] x 25
Write as a single fraction
x = [tex]\frac{5*25}{4}[/tex]
Calculate the product:
x = [tex]\frac{125}{4}[/tex]
How many cups of mashed potatoes were four people get if they equally shared 3/4 cup of potato
Answer:
3/4 x 2 = 6/8 6/8 ÷ 4 = 2/8
so each person would get 2/8 cups of potatoes
HELP PLS
BRAINLEIST
10 POINTS
Answer:
26 is the answers for the question
which weight is greater than 5,000 lbs.
Answer:
6000 lbs is greater then 5000!
Step-by-step explanation:
"Describe the domain and range of y=5(2)"
Answer:
Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.
Domain: (−∞,∞), {x|x∈R}
Range: {y|y=10}
(I apologize if this doesnt help)
BRAINLIEST+STARS!!
Which transformation below causes Figure A to transform into Figure A’?
A. a reflection across the y-axis
B.a reflection across the x-axis
C.a clockwise rotation of 90 degrees about the origin D.a translation 12 units right and 2 units down
Answer:
D.a translation 12 units right and 2 units down
Answer:
D
Step-by-step explanation:
If you take one of the point and compare it to the corresponding one on the second triangle, you can see that it is a translation of 12 right 2 down.
Joyce paid $38.50 for an item at the store that was 65 percent off the original price. What was the original price?
Answer:
25.025
Step-by-step explanation:
x/38.50=65\100 cross multiply and divide by the 100 so now x=Original price=25.025
Reemplaza los valores en las expresiones y resuelve
Substitute values into expressions and solve??
Given that some normally distributed data has a mean of 857.518 and a standard
deviation of 113.181. What is the probability that a randomly sampled datapoint wil
be greater than 1007.174?
Answer:
10%
Step-by-step explanation:
(1007.174 - 857.518) / (113.181) means that
1007.174 is 1.32 standard dev ABOVE the mean
z-score = .9066 from z-score chart
means 90% are less and ~~ 10% are this value or more
Find the values of x,y, and x in a circle
Answer: x=20, y=z=160
Step-by-step explanation:
Help help math math math
Answer:
1) 13
2) 9
3) 5
4) 1
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
Answer:
13, 9, 5, 1
Step-by-step explanation:
all you have to do is plug in the x to find the y
Given that
log 2= X
log 3= y
log 7= z
Express the following expressions in terms of x, y, and z
(1) log (14/3)
(2) log 0.3
(3) log 10.5
Answer: See below
Step-by-step explanation:
Answer (1)
We must break down the expressions into factors. That is:
[tex]\begin{align} \log 12&=\log 4\times 3=\log 2^2\times 3\\ \log 12&=\log 2^2+\log 3=2\log 2+\log 3=2x+y\\ \end{align}[/tex][tex]\log \frac{14}{3}&=\log 14-\log 3 \\ =\log 2\times 7-\log 3\\ \\\log \frac{14}{3}& =\log 2+\log 7-\log 3 \\ =x+z-y\\[/tex]
Answer (2)
[tex]\log 0.3 &=\log \frac{3}{10} \\ \\ =\log 3-\log 10 \\=y-1[/tex]
Answer (3)
[tex]\log 10.5& \\ =\log \frac{21}{2} \\=\log 21-\log 2\\ \\ \log 10.5& \\ =\log 3\times 7-\log 2\\=\log 3+\log 7-\log 2\\=y+z-x[/tex]
Construct the indicated confidence interval for the population mean using the t-distribution. Assume the population is normally distributed.
picture of question below
by first rounding each number to 1 significant figure, estimate the answer to 427+941
Answer:
1300
Step-by-step explanation:
Kenzie bought 12 belts for $54 write an equation that shows the relationship between the numbers of belt B and C the total cost for the belts
Answer:
$4.50B = C
Step-by-step explanation:
Kenzie bought 12 belts for $54, which means that each belt costs $4.50.
If b=number of belts, c=the total cost, and x=the cost of one belt, the equation would be:
b(x)=c,
so:
12*$4.50=$54
OR
$4.50B=C
hope that helps! good luck!
Answer:
C = 4.50B
Step-by-step explanation:
Finding the cost of a belt
Total cost / Number of belts$54 / 12$4.50Therefore, the relation between B, the number of belts, and C, the total cost, will be :
C = 4.50BPlease help! Area of part of a circle!!!
James and his family spend a morning picking peaches. They fill several bags. This line plot shows the weight of each bag.
How many more pounds does one of the heaviest bags weigh than one of the lightest bags?
The number of pounds that one of the heaviest bag weighs more than one of the lightest bag in the given line plot is: 1½
What is a Line Plot?In a line plot, frequency of a data point is either represented by a dot or a mark.
In the line plot given:
Heaviest bag weighs 5¾
Lightest bag weighs 4¼
The difference between the heaviest and lightest bag = 5¾ - 4¼
= 23/4 - 17/4
= (23 - 17)/4 = 6/4 = 3/2
= 1½
The heaviest bag weighs 1½ pounds than the lightest bag.
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