Answer:
A. √500
Step-by-step explanation:
Since 500 = 5·100 = 5·10² you can move the 10² out of the √ as 10.
Hence 10√5 = √500
So we're using these rules:
√a·b = √a·√b
and of course
√a² = a (a>0)
Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $1.85 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent.
Answer:
$80.48
Attached is the image of the entry way
Step-by-step explanation:
Given that each unit length represents 1 foot.
To find the area of the shape shown in the attached image, we need to divide the shape into two parts at about 4 ft from the bottom.
The top shape is a trapezoid of base length 4 ft, top length 7 ftand height 5 ft, while the bottom shape is a parallelogram with one side equal to 4 ft and height 4 ft
Area of a Trapezium = 1/2 × (a+b)h
a = 4ft, b= 7ft, h = 5ft
Substituting the values;
Area of trapezoid = 1/2 × (7 + 4)x 5
Area of trapezoid = 27.5 ft^2
Area of a parallelogram = length × height
Length = 4 ft, height = 4 ft
Substituting the values;
Area of parallelogram = 4 x 4
Area of parallelogram = 16 ft^2
Total area = area of trapezium + parallelogram
Total area = 27.5 + 16 = 43.5 ft^2
Cost per square foot = $ 1.85
Total cost = cost per square foot × area
Total cost = $1.85 per square foot × 43.5ft^2
Total Cost = $80.48
Answer:
Sal will pay $ 80.48 to tile his entryway.
Step-by-step explanation:
Separate the entryway into simpler shapes: a trapezoid and a parallelogram.
Find the area of the simpler figures. Count units to find the dimensions.
Trapezoid
A = 1/ 2
h(b₁ + b₂)
A = 1/ 2
(5)(4 + 7)
A = 1/ 2
(5)(11)
A = 27.5
The area of the trapezoid is 27.5 ft
2 .
Parallelogram
A = bh
A = 4 · 4
A = 16
The area of the parallelogram is 16 ft
2 .
Find the area of the entryway.
A = 27.5 + 16
A = 43.5
The area of the entryway is 43.5 ft
2 .
Calculate how much Sal will pay to tile his entryway.
Area · Cost per foot = Total Cost
43.5 · $1.95 = $84.83
Sal will pay $84.83 to tile his entryway.
Jake received a student loan for $12,000. He plans on paying off the loan in five years. At the end of five years, J. Cole have paid $3600 in interest. What is a simple interest rate on the student loan?
Answer:
The simple interest rate on the student loan is 6%.
Step-by-step explanation:
To solve for the simple interest rate, use the formula for total simple interest:
[tex]I = Prt[/tex]
[tex]I[/tex] = total interest paid
P = principal, or starting value
r = interest rate in decimal form
t = time in years
State known values
P = 12,000
t = 5
[tex]I[/tex] = 3,600
Substitute known values and isolate "r"
[tex]I = Prt[/tex]
3,600 = (12,000) (r) (5)
3,600 = (60,000) r
r = 0.06
Since "r" is given as a decimal, convert this to a percentage by multiplying by 100.
0.06 = 6%
∴ The simple interest rate on the student loan is 6%.
Answer=6%
Step-by-step explanation:
Principal(P)=12000
Time(T)=5 yrs
Interest(I)=3600
We have,
I=PTR/100
3600=(12000*5*R)/100
3600*100=60000*R
R=360000/60000
R=6%
what are the solutions to the system of equations graphed below?
Answer:
(-3,-3) and at (0,6)
Step-by-step explanation:
The solution to the system of equations is where the graphs intersect
The graphs intersect at (-3,-3) and at (0,6)
HELP ASAP FIRST CORRECT GETS BRAINLIEST
Answer:
Right
Step-by-step explanation:
Answer: the first one is x less than 468 and the second one is and open circle at 468 and the third one is go left
Step-by-step explanation:
it would be a open circle if it wasnt a line under it and it would move the oppisite which is the left
What is the product of 2x + y and 5x – y + 3?
Answer:10x^2+11xy-6y^2
Step-by-step explanation:
( 2 x + 3 y ) ( 5 x − 2 y ) = 2 x ( 5 x − 2 y ) + 3 y ( 5 x − 2 y )
= 10 x 2 − 4 x y + 15 x y − 6y 2
= 10 x 2 + 11 x y -6 y 2 .
Which number is divisible by 5
A 44
B 125
C 116
D 114
Answer:
B
Step-by-step explanation:
Write a linear equation from a slope and a point
What is the solution to the equation ^3sqrtX+4+ ^3sqrt2X+8=0?
x = –12
x = –4
x = 4
x = 12
Answer:
Cover 2
Step-by-step explanation:
Answer:
Uhh x is like -4 bruh
Step-by-step explanation:
So b on edge ye
Please Help Now Running out of time! In Sal’s sock drawer, there are 2 red, 2 blue, 2 yellow, 2 black, and 2 green socks. If he randomly picks one sock from the drawer, and then another, which fractions should Sal multiply to find the probability of choosing a pair of green socks?
Answer:
Step-by-step explanation:
C
Answer:
C
Step-by-step explanation:
2/10 1/9
Montel needs to determine the distance from -3 to zero. Which statement best desribes the process Montel should use?
F. Find the absolute value of negative three.
G. Find the opposite of positive three.
H. Find the absolute vaule of positive three.
J. Find the opposite of negative three.
Answer:
F
Step-by-step explanation:
Absolute value finds the distance between a number and 0, which is what the question is asking for -- the distance between -3 and 0.
Which of the following inequalities is correct?
Answer:
a < b < c
Step-by-step explanation:
a is -4, which is less than b, at 1, and c at 7.
If this answer is correct, please make me Brainliest!
Answer:
the answer is a it cant not be b,c
un unitățile de măsurat lungimea mai mici decât unitatea principală sunt.......................... ................. Și................. Și se numesc................ Metrului. Decametrul, hectometrul și............. sunt................... metrului.
Answer:
english plz !!!!!!!!!!
Step-by-step explanation:
A honey bee has a mass of 100 mg. How many bees would you need for a mass of 3 kg?
Answer:
you need 3000000 bees
Step-by-step explanation:
1kg=1000000mg.
1000000x3=3000000
hope this helps, have a good day :)
Simpson deposits $1,200 in a savings account that earns simple interest at the rate of 5%
per year. What interest does he earn at the end of 1 year?
Answer:
$60
Step-by-step explanation:
SI = (PRT)/100
SI = Simple Interest
P = Principal
R = Rate ( in decimal form)
T = Time
SI = (1200 x .5 x 1)/100
SI = 6000 / 100
SI = 60
many organize a classroom party. there are 20 of cold drinks at the party, 13 of which contain diet Pepsi, what is the probability that randomly selected drink will be a diet Pepsi? answer key
Answer:
so its either 13/20
Step-by-step explanation:
if you get this wrong sorry:(
PLEASE HELP!!
The figure is made up of a rectangle and 2 right triangles.
What is the area of the figure?
O 1259 units2
O 1292 units2
O 1413 units2
O 1566 units2
The rectangle is 28×34 and the two triangles are (1/2) 11 (28) and (1/2) (9)(34)
A = 28(34) + (1/2) 11 (28) + (1/2) (9)(34)
A = 1259
Answer: 1259 sq units
Which fraction is greater than 3/5
4/6
6/12
3/8
4/10
Answer:
a.) 4/6
Step-by-step explanation:
3/5 = .6
4/6 = .666666666667
6/12= 0.5
3/8= .375
4/10= .4
Answer: 4/6
Step-by-step explanation:
IT IS THE BIGGEST. :)
The cost of a shirt is $56. There is a markup of 18%
for the store. Wha t will be the cost of the shirt in the
store?
Answer:
66.08
Step-by-step explanation:
First find the markup
56 * 18%
56*.18 =10.08
Add this to the original price
56+10.08
66.08
This is the cost in the store
Answer:
$66.08
Step-by-step explanation:
18% of 56= 10.08
56+10.08=66.08
hope this helps :)
Olivia flips a two-sided counter and then spins a spinner with six equal-size sections labeled 1 through 6. One side of the counter is red. The other side is yellow. She performs this experiment 80 times. The relative frequency of tossing red and spinning a number greater than three was 25 . What is the difference between the number of expected outcomes and the number of actual outcomes?
Answer:
The difference between the number of expected outcomes and the number of actual outcomes = 5
Step-by-step explanation:
She tosses a two sided counter and spins a spinner with six equal sized sections numbered 1 to 6.
Probability of the counter landing on either of the two sides is exactly = (1/2)
Probability of the counter landing on the red side = (1/2)
Probability of the spinner landing in a region greater than 3 = Probability of the spinner landing in a region of 4, 5 or 6. = (3/6) = (1/2)
In one toss and spin, the probability of a toss landing on red and the spinner landing on a number greater than 3 = p = (1/2)×(1/2)
p = (1/4)
Expected number of times that a toss will land on a red and a spinner will land on a number greater than 3 in 80 trials
= np = 80 × (1/4) = 20
Number of actual times that the toss lands on a red and a spinner lands on a number greater than 3 in 80 trials = 25
The difference between the number of expected outcomes and the number of actual outcomes = 25 - 20 = 5
Hope this Helps!!!
write the equation of circle b with center B(-2,3) that passes through (1,2)
Answer:
[tex](x+2)^2 + (y-3)^2 = 10[/tex]
Step-by-step explanation:
The standard equation for circle is
[tex](x-a)^2 + (y-b)^2 = r^2[/tex]
where point (a,b) is coordinate of center of circle and r is the radius.
______________________________________________________
Given
center of circle =((-2,3)
let r be the radius of circle
Plugging in this value of center in standard equation for circle given above we have
[tex](x-a)^2 + (y-b)^2 = r^2 \ substitute (a,b) \ with (-2,3) \\=>(x-(-2))^2 + (y-3)^2 = r^2 \\=>(x+2)^2 + (y-3)^2 = r^2 (1)[/tex]
Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.
Plugging in the point (1,2 ) in equation 1 we have
[tex]\\=>(x+2)^2 + (y-3)^2 = r^2 \\=> (1+2)^2 + (2-3)^2 = r^2\\=> 3^2 + (-1)^2 = r^2\\=> 9 + 1 = r^2\\=> 10 = r^2\\=> r^2 = 10\\[/tex]
now we have value of r^2 = 10, substituting this in equation 1 we have
Thus complete equation of circle is [tex]=>(x+2)^2 + (y-3)^2 = r^2\\=>(x+2)^2 + (y-3)^2 = 10[/tex]
i need your help please asap
Step-by-step explanation:
First we will calculate the total amount spent on each website so
Website A = 49.95 + 4.39 = 54.34
Website B = 47.68 + 6.95 = 54. 63
So website A is cheaper by €0.29
1. A space figure with two parallel and congruent bases can be any of these except a
A cone
B prism
c cylinder
Dcube
Answer:
C. cylinder
Step-by-step explanation:
i hope this help
What number should both sides of the following equation be multiplied by to solve for x?
x/7.25 = 4
4
7.25
7
29
Answer:
[tex] \frac{x}{7.25} = 4 \\ x = 4 \times 7.25 \\ x = 29[/tex]
17. Which of the following forces is not a
long-range force?
A) gravitational force
B) friction
() electric force
D) magnetic force
Answer: D. Magnetic Force
Step-by-step explanation:
The range isn't compatible from a long distance. Only when close to contact.
Answer:
the answer is magnetic force
hope this helps u
An equilateral triangle has perimeter 57cm, what is the length of one of the sides?
Answer:
19 cm
Step-by-step explanation:
An equilateral triangle has all 3 sides the same length
P = 3s where s is the side length
57 = 3s
Divide each side by 3
57/3 = 3s/3
19 =s
A snack company makes three batches of a nut mix using the recipe shown.
Each batch contains a different total amount of mix.
Drag numbers to show how much of each type of nut should be used in each batch.
1 of the mix is pistachios.
of the mix is almonds
of the mix is cashews
PLEASE HELP!!!
Answer:
batch 1
3 cups cashews
batch 2
2/6 or 1/3 cups (simplified) of pistachios
batch 3
1 1/3 cups of almonds
2 cups of cashews
What is the correct answer..
Answer:
64 feet
Step-by-step explanation:
To find the height of the kite we use sin trigonometric ratio.
Let the height of the kite from the ground be x feet.
[tex] \therefore \: \sin 40 \degree = \frac{x}{100} \\ \\ \therefore \: 0.6427876097= \frac{x}{100} \\ \\ \therefore \: 0.6427876097 \times 100= x \\ \\ \therefore \:x = 64.29 \\ \\ \therefore \:x = 64 \: feet[/tex]
What if the diameter of the inner sphere is 1.8 meters. What is the volume of the inflated space?
Answer:
Volume is 3.05m³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, sphere
Step one
The formula for the volume of a sphere is expressed as
V=4/3πr³
Step two
Given data
Diameter d = 1.8m
Radius r = d/2= 1.8/2= 0.9m
Step three
Substituting our given data we have
V= 4/3*3.142*0.9³
V= 4/3*3.142*0.729
V= 9.162/3
V=3.05m³
A painter pays $15 per can of paint. How many cans of paint can she buy with $1052
Answer:
70 cans
Step-by-step explanation:
1052/15=70.1333333
but you have to round down to 70
ANSWER: 70
EXPLANATION:
What is the volume of the composite figure? Express the answer in terms of pie.
1443 mm3
1687 mm3
3127 mm3
456 mm3
Answer:
3127
Step-by-step explanation:
YES
The volume of the given composite figure is 312π mm³
Given is a composite figure, having two solids, a cone and a hemisphere,
We need to find the volume of the solid, so for the same, we simply need to add the volumes of the cone and the hemisphere,
= 1/3 π r² h + 2/3 π r³
= 1/3 π r²[h+2r]
= 1/3 π 36[12+14]
= 312 π
Hence, the volume of the given composite figure is 312π mm³
Learn more about the volumes, click;
https://brainly.com/question/13338592
#SPJ7