Step-by-step explanation:
step 1. 2x + 50 and 7x are vertical angles
step 2. vertical angles are equal
step 3. 2x + 50 = 7x
step 4. 5x = 50, x= 10
step 5. <AEB = 2x + 50 = 2(10) + 50 = 70.
A path 5m wide is to be built along the border and inside a square garden of side 90m. Find the cost of cementing the path at the rate of Rs.10 per meter square.
Answer:
Total cost of cementing the path = Rs. 17,000.
Step-by-step explanation:
Let the square garden be ABCD
Let the region inside the garden (ABCD) be WXYZ.
Given the following data;
Length of sides of ABCD = 90m
Width of path = 5m
Cost = Rs. 10 per m²
Area of ABCD = 90 * 90
Area of ABCD = 8100m²
To find the area of WXYZ;
WX = WZ = 90 - (5 + 5)
WX = WZ = 90 - 10
WX = WZ = 80m
Area of WXYZ = WX * WZ
Substituting into the equation, we have;
Area of WXYZ = 80 * 80
Area of WXYZ = 6400 m²
Area of path = Area of ABCD - Area of WXYZ
Area of path = 8100 - 6400
Area of path = 1700 m²
Total cost of cementing the path = Area of path * cost
Total cost of cementing the path = 1700 * 10
Total cost of cementing the path = Rs. 17,000
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.7 years, and standard deviation of 1 years.
The 7% of items with the shortest lifespan will last less than how many years?
Answer:
Bobies
Step-by-step explanation:
Answer:
Step-by-step explanation:
PLS HELP I WILL BRAINLIEST 15 PTS
An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer. At the end of the night, the driver calculates his profits and makes a graph to analyze the data. What is the average rate of change for the data from the 2nd hour to the 6th hour? Be sure to include the correct units of measurement.
a scatter plot with x axis labeled Hour and y axis labeled Money Earned in Dollars per Hour with points at 1 comma 54 and 2 comma 58 and 3 comma 64 and 4 comma 78 and 5 comma 96 and 6 comma 126 and 7 comma 99 and 8 comma 75
17 hours
68 dollars
17 dollars per hour per hour
68 dollars per hour per hour
Answer:
17
Step-by-step explanation:
A slope is also known as the gradient of a line. The correct option is C, 17 dollars per hour.
What is Slope?A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
The average rate of change for the data from the 2nd hour to the 6th hour is,
Average rate = ($126 - $58)/(6 hour - 2 hour)
= 68/4 dollar per hour
= 17 dollars per hour
Hence, The average rate of change for the data from the 2nd hour to the 6th hour is 17 dollars per hour.
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Helllpppppp it’s due tomorrow plssss
Answer:
A-B= 1/4 inch
A-G= 3-3/4 inch
A-D= 3/4 inch
A-K= 4-3/4 inch
A-I= 1-3/4 inch
A-E 1 inch
A-J= 3 inch
A-L= 4-1/4 inch
A-F= 2-1/4 inch
A-H= 1-1/2 inch
A-C= 1/2 inch
A-M= 5-3/4 inch
Step-by-step explanation:
Need help with this question
Answer:
Yes
5 Mins
7 blocks from home
Step-by-step explanation:
6- 1 Minute = 5 mins
Slower speed = Return Speed (Speed that took more time)
If -4 ( 5x - 1) = 196, what is x?
Answer:
10
Step-by-step explanation:
divide each side by -4
5x-1=-49
5x=50
x=10
You select 6 cards randomly from a deck of 52 cards. What is the probability that all of the cards selected are face cards
Answer:
Step-by-step explanation:
There are two different techniques that I can think of for arriving at the answer. The first method utilizes combination, sometimes referred to as the “choose” operator. First, we need to know how many 6 cards hands are possible, which can be calculated using 52 choose 6, which in notation looks like (526) =20,358,520 . This is our denominator.
Now that we know how many total 6 cards hands there are in a normal deck, we need to find the numerator, which is how many 6-card hands can be made up of all hearts. Since there are 13 hearts in the deck, we can find that number with (136) =1,716 .
Completely written out in mathematical notation, the probability of drawing 6 cards that are all hearts, appears as follows:
(136)(526)=171620358520≈0.0000843≈0.00843%
__________________________________________________
The second method that results in the same value can be found by multiplying together the chances of drawing the individual cards at each step, for example, there is a 1352 chance of the first card drawn being a heart, 1251 for the second, and so on.
This second method looks like:
1352×1251×1150×1049×948×847≈0.0000843≈0.00843
Incidentally, 13!46!7!52! is another way to notate this second method.
Personally, I find the first method to be cleaner and easier to work with, but some may find the second more intuitive.
Answer: 11/51
Step-by-step explanation: After you've picked the first card, if it's a face card then there are only 11 faces cards left, out of a total of 51. So the probability of the next card also being a face card is 11/51.
Chapter 18 Review nswer the following problems. Daniel has 7 trophies he has won playing soccer. How many different ways can he arrar them in a row on his bookshelf?
g(m) = m3 - 10m² + 25m + 2 at m = 6.
Answer:
G(6) = -190
Step-by-step explanation:
G(6) = (6 *3) - [10*(6)^2] + 25(6) + 2
G(6) = 18 -360 + 150 + 2
G(6) = -190
Which of these sequences are arithmetic? Check all that apply.
–5, –3, 3, 13, 27, .
0, 1/4, 1/2, 3/4, 1, . . .
7, 14, 28, 56, 112, . . .
27, 40, 53, 66, 79, . . .
1, 2, 4, 8, . . .
Halla el MCM de 3 y 5 enumerando múltiplos.
A. 15
B. 35
C. 53
D. 8
E. Ninguno de los anteriores
Answer:
A. 15
Step-by-step explanation:
Mínimo Común Múltiplo (MCM)
El MCM entre dos o más enteros es el menor múltiplo común a todos ellos. Por ejemplo, el MCM de 20 y 30 es 60 porque es el menor múltiplo común a ambos números.
El MCM entre 3 y 5 se puede determinar listando los múltiplos de cada uno:
Múltiplos de 3: 3, 6, 9,12, 15, 18, 21, 24
Múltiplos de 5: 5, 10, 15, 20, 25, 30
Se puede observar que el primer múltiplo que aparece en ambas listas en 15, luego la respuesta es:
A. 15
Suppose a - b = 0Which one of these expressions equals ab?
A. 2a
B. 0
C. b^2
D. 2b
E. a/b
If a-b=0, a=b, so ab=bb=b^2
Answer:
b^2
Step-by-step explanation:
a - b = 0
Add b to each side
a-b+b = 0+b
a=b
We want to find ab
Replace a with b
b*b
b^2
You are purchasing Cotton swabs that come in 2 different sized containers. One box contains 300 swabs for 2.99 and the other box is specially marked at 30% more swabs for the same price. How much will you save per sawn by buying the larger box?
Answer:
Buying the larger box, I will be saving 23% compared to the original price.
Step-by-step explanation:
Given that a box contains 300 swabs for 2.99 and the other box is specially marked at 30% more swabs for the same price, to determine how much will I save per swab by buying the larger box the following calculation must be performed:
2.99 / 300 = X
0.0099 = X
2.99 / (300 x 1.3) = X
2.99 / 390 = X
0.0076 = X
0.0099 = 100
0.0076 = X
(0.0076 x 100) / 0.0099 = X
77 = X
100 - 77 = 23
Therefore, buying the larger box I will be saving 23% compared to the original price.
a truck just left the weigh station on interstate 40. it weighted 6 tons 500 pounds and had a load of 1,200 pounds. How much would the transfer truck alone weigh?
Answer:
The weight limit on the bridge is75,500 pounds. ... In pounds, how much cargo can the truck carry and still be ... Helllppp pleaseeee A rancher has a three sided plot of ..
What method can you use to find the area of the
composite figure? Check all that apply.
decompose the figure into one rectangle and one
triangle, and add the areas
decompose the figure into two trapezoids, and add
the areas
find the area of the larger rectangle, then subtract
the area of the square
find the area of the larger rectangle, then subtract
the area of the two small triangles
O find the area of the larger rectangle
To find the area of the composite figure:-
We can use following methods-
1. Decompose the figure into one rectangle and one triangle and add the area.
2. Decompose the figure into two trapezoids and add the area.
3. Find the area of the larger rectangle, then subtract the area of the two small triangle
What is composite figure?"It is shape that is made up of two or more geometric shapes"
What is area of triangle?A = 1/2 × b × h
where b is the base of the triangle and 'h' is the height of the triangle
What is the area of rectangle?A = l × w
where l = length of the rectangle
w = width of the rectangle
For given example,
We need to find the area of the composite figure.
To find the area of the composite figure:-
We can follow-
1. Decompose the figure into one rectangle and one triangle and add the area.
2. Decompose the figure into two trapezoids and add the area.
3. Find the area of the larger rectangle, then subtract the area of the two small triangle
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Answer: A, B, and D
Step-by-step explanation:
Emily made 20 basketball free throws and made 13 of them. What is the experimental probability of Emily making a basket?
What is the probability that Emily doesn’t make a basket?
number made / number attempted = 13/20
number missed / number attempted = (20-13)/20 = 7/20
A helicopter descended 145 m to observe the density of the population during the Centennial celebration
at the Luneta. It leveled off 230 m. what is the original altitude?
Answer:
Original altitude = 375 m
Step-by-step explanation:
Given:
Current height of helicopter = 145 m
New leveled off = 230 m
Find:
Original altitude
Computation:
Original altitude = Current height of helicopter + New leveled off
Original altitude = 145 m + 230 m
Original altitude = 375 m
Find the slope of the line that contains (4, 8) and (3, 1).
Answer
Step-by-step explanation:
yl grafica
Answer:
The slope would be -7
Step-by-step explanation:
To find the slope, you find two points on a line and find the difference between x-values and y-values. Then divide the difference of y-values by the difference of x-values to acquire the slope. [tex]\frac{8-1}{-4+3}[/tex] = [tex]\frac{7}{-1}[/tex] or -7, so that would be the slope.
Daniel wants to buy a used car to get back and forth to work
Answer:
thats good on daniel it will save him time.
Answer:
Yea it will save him time
Step-by-step explanation:
There's no question so...
y=10-13
what is the solution for y?
Answer:
-3
Step-by-step explanation:
10 minus 13 is negative 3.
An iPhone costs £799 in London, €850 in Paris and $970 in New York.
Using £1 = €1.17 and £1 = $1.42, state the lowest price of the iPhone in £.
Give your answer to 2 dp.
please answer for heart, comment, 5 star rating, and brainliest
Answer:
£683.10 in New York.
Step-by-step explanation:
Given the following data;
iPhone costs in London = £799
iPhone costs in Paris = €850
iPhone costs in New York = $970
£1 = €1.17 and £1 = $1.42
First of all, to find the cheapest (lowest) price for the three phones we would have to convert the prices to Pounds (£).
a. iPhone costs in London = £799
b. iPhone costs in Paris = €850
To find the price in Pounds (£);
£1 = €1.17
iPhone costs in Paris = €850/€1.17
iPhone costs in Paris = £726.50
c. iPhone costs in New York = $970
To find the price in Pounds (£);
£1 = $1.42
iPhone costs in New York = $970/$1.42
iPhone costs in New York = £683.10
Therefore, the lowest price for the iPhone is £683.10
What is the solution to
Multiply (Y-1)(y+8)
whats is y? I can't solve the problem without it
Find the volume of the Triangular Prism
Volume
Answer:
Volume = 144 m³
Step-by-step explanation:
Volume of triangular prism = ½*b*h*l
Where,
Base of triangular base (b) = 4 m
Height of triangular base (h) = 12 m
Length of prism (l) = 6 m
Volume = ½*4*12*6
Volume = 2*12*6 = 144 m³
Answer:
144cm3 is the right answer
Step-by-step explanation:
Oooooooooooooooooofffffffffffffffffffff
Suppose that out of 20% of all packages from Amazon are delivered by UPS. 15% of the packages that are delivered by UPS weighs 2 lbs or more. Also, 7% of the packages that are not delivered by UPS weighs less than 2 lbs. a. What is the probability that a package is delivered by UPS if it weighs 2 lbs or more
Answer:
0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: It weighs 2 lbs or more
Event B: Delivered by UPS
15% of the packages that are delivered by UPS weighs 2 lbs or more.
This means that [tex]P(A \cap B) = 0.15[/tex]
More than 2 lbs:
15% of 20%(UPS)
93% of 80%(Not delivered by UPS). So
[tex]P(A) = 0.15*0.2 + 0.93*0.8 = 0.774[/tex]
a. What is the probability that a package is delivered by UPS if it weighs 2 lbs or more
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.774} = 0.1938[/tex]
0.1938 = 19.38% probability that a package is delivered by UPS if it weighs 2 lbs or more
A parallelogram is formed by the supports that
attach a basketball backboard and rim to the wall.
The angles change as the basketball apparatus is
taken out and put away. Find mZBCD when
m ZDAB = 320
Answer:
[tex]m\angle BCD = 32^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]m\angle DAB = 32^{\circ}[/tex]
See attachment for basketball blackboard
Required
Find [tex]m\angle BCD[/tex]
In the attachment:
[tex]m\angle BCD[/tex] and [tex]m\angle DAB[/tex] are opposite angles
And in a parallelogram, opposite angles have the same measure.
This implies that:
[tex]m\angle BCD = m\angle DAB = 32^{\circ}[/tex]
So:
[tex]m\angle BCD = 32^{\circ}[/tex]
Find 47.5% of 690 (remember this is a non calculator question)
Answer:
327.75
Step-by-step explanation:
Please help Solve 3(x+3)=39
Answer:
x=10
Step-by-step explanation:
Answer:
Step-by-step explanation:
3(x+3)=39 first you distribute the the then you get 3x+9=39 then you subtract so then you have 3x=30 then divide 30 by 3 and you have 10! hoped it helped some. ( the answer is x=10)
Please help with my question
Answer:
Your answer is "C"
Step-by-step explanation:
Dont ask me how I know, I just know
No clue why but brainly said I had inappropriate words in my answer so here's a picture
A laptop is bought for $1380 VAT inclusive. If VAT was charged at 15%, what
is the price of the laptop exclusive of VAT?
Answer:
vat=15%
selling price with vat=$1380
selling price with out vat=?
we have
selling price with vat=$1380
selling price with out vat+vat%of selling price with out vat =$1380
selling price with out vat(1+15/100)=$1380
selling price with out vat=$1380/1.15=$1200
The area of a rectangle is 1260 square inches. Its length is 36 inches.
Find the width