Answer:
Step-by-step explanation:
Simple interest is
I=Prt
I=11500(0.10)(60/360)
I=$191.67
What is the value of x4+0.5y3when x=2 and y=4?
Answer:
14
Step-by-step explanation:
Construct isosceles triangle ABC such that AB = AC = 10 cm and CB = 9 cm. Measure and write down the size of angle ABC.
Answer:
∠ABC = 63.26°
Step-by-step explanation:
cos ∠ABC = (9/2)/10
cos ∠ABC = 0.45
∠ABC = 63.26°
Find the measure of 46.
70*110°
46
o
66 = [?]
Answer:
angle 6 is equal to 70° vertically opposite angle on the same side of transeversal.
What is the equation of the blue line?
Answer:
y = (1/2)x + 2
Step-by-step explanation:
it is a straight line so it will be in the form of y = mx + c
m = gradient, c = y intercept
Reading from graph it cuts the y-axis at 2,
so c = 2
to find gradient we can pick any 2 points on the line,
e.g (0,2) and (10,7)
gradient = (y1 - y2) / (x1 - x2) = (7 - 2) / (10 - 0)
= 1/2
so the equation is y = (1/2)x + 2
Using slope intercept formula, the equation of the blue line
y = (1/2)x + 2.
What is slope intercept?The slope intercept form is one of the form to represent" equation of the straight iine".
According to the question,
The graph intercept the y-axis at 2.
Slope intercept formula, y = mx + c where m = slope of the line, c = y- intercept of the line, x, y as variable.
From given, y-intercept, c = 2.
To find slope of the line take any two points on the line (0,2) and (10,7).
Formula to find slope of the line m = (y₁ -y₂)/(x₁ - x₂).
m = (2-7)/(0-10)= [tex]\frac{1}{2}[/tex]
Hence, the equation of the blue line y = (1/2)x + 2.
Learn more about Slope intercept form here
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PLEASE HELP ME!!!! HOW DO I GRAPH THIS??????
Answer:
draw the picture then put a box around it and label the body parts and that fun stuff
if ABC is a straight line and angle CBD=119
Hello this is not question .
Sofia is 4 years younger than Mark. David is 7 years older than Mark. How old will Sofia be when David is 30 years old? please answer
Answer:
Sofia will be 19 years old
Step-by-step explanation:
First:
What know that David is 30 right now.
David=30
We also know that David is 7 years older than Mark, meaning that David-7=Mark
30-7=23 -Mark
And last we know that Mark is 4 years older than Sofia So we would do 23-4 to get Sofia age,
23-4=19 -Sofia
So in conclusion...
SOFIA: 19
MARK: 23
DAVID: 30
"Two planes leave the airport at the same time. Plane 1 travels just 9 miles east from
the airport while Plane 2 travels 40 miles north from the airport. What is the diagonal
distance from plane 1 and 2?"
A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 16% are pennies and 40% are dimes. There are 5 more nickels than pennies. How much money does the bag contain?
Answer:
$4.98
Step-by-step explanation:
50*16%=8 (pennies), 50*40%=20 (dimes)
8+5=13 (nickels), 50-(8+20+13)=9 (quarters)
So the money in total is 8*0.01+20*0.1+13*0.05+9*0.25=$4.98
ANSWER: $4.98
Steps for pennies:
1.) 50 * .16 = 8
8 pennies out of 50 coins
2.) 1 cent * 8 = 8 cents
Steps for dimes:
1.) 50 * .40 = 20
20 dimes out of 50 coins
2.) 10 cents * 20 = 200 cents = $2
Steps for nickels:
1.) 8 + 5 = 13
13 nickels out of 50 coins
2.) 5 cents * 13 = 65 cents
Steps for quarters:
1. 8 + 20 + 13 = 41
2. 50 - 41 = 9
3. 9 * .25 = $2.25
FINAL STEP:
8 cents + $2 + 65 cents + $2.25 = $4.98
ANSWER: the bag contained $4.98
*to change a percentage into a decimal move the decimal point 2 places to the left. Ex.) 50% > 50. > .50
50% = .50
12. 14.5% of 90 is n. The value of n is 15.
Answer:14.5% of 19 is 13.05, so the value of n would actually be 13.05
help me please, please
1 A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10
centimeters. Which measurement is closest to the total surface area of the can in
square centimeters?
Answer:
radius r = 3 cm
height h = 10 cm
volume V = 282.743339 cm^3
lateral surface area L = 188.495559 cm^2
top surface area T = 28.2743339 cm^2
base surface area B = 28.2743339 cm^2
total surface area A = 245.044227 cm^2
In Terms of Pi π
volume V = 90 π cm3
lateral surface area L = 60 π cm^2
top surface area T = 9 π cm^2
base surface area B = 9 π cm^2
total surface area A = 78 π cm^2
Step-by-step explanation:
Cylinder Formulas in terms of r and h:
Calculate volume of a cylinder:
V = πr2h
Calculate the lateral surface area of a cylinder (just the curved outside)**:
L = 2πrh
Calculate the top and bottom surface area of a cylinder (2 circles):
T = B = πr2
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)
Agenda: r = radius
h = height
V = volume
L = lateral surface area
T = top surface area
B = base surface area
A = total surface area
π = pi = 3.1415926535898
√ = square root
The value of Surface Area of the cylinder is 245.04 cm².
What is Surface Area of a shape ?Surface area is the amount of space covering the outside of a three-dimensional shape.
It is given that the cylinder has
radius r = 3 cm
height h = 10 cm
volume V of the cylinder = πr²h = 282.74 cm³
the lateral surface area of a cylinder
L = 2πrh
lateral surface area L = 188.495559 cm²
the top and bottom surface area of a cylinder (2 circles):
T = B = πr²
top surface area T = 28.2743339 cm²
base surface area B = 28.2743339 cm²
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)
total surface area A = 245.044227 cm²
total surface area A = 78 π cm²
Therefore the value of Surface Area of the cylinder is 245.04 cm².
To know more about Surface Area
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These tables show equivalent ratios. The value missing in each table is replaced with X. Choose ALL tables in which 12 replaces X.
(please answer)
POINT:15
Answer:
a
Step-by-step explanation:
Answer:a and b
Step-by-step explanation:
A rectangular prism has a width of x^2 inches, A length of xy^2 inches, and a height of y^2 inches. Which expression represents the volume in cubic inches of this rectangular prism
Answer:
[tex]Volume = x^3y^4[/tex]
Step-by-step explanation:
Given
[tex]Length = xy^2[/tex]
[tex]Height = y^2[/tex]
[tex]Width = x^2[/tex]
Required
Determine the volume
The volume is calculated as:
[tex]Volume = Length * Width * Height[/tex]
[tex]Volume = xy^2 * x^2 * y^2[/tex]
This gives:
[tex]Volume = x^3y^4[/tex]
plz help find the area asap i really need help with the math problems
for the third picture Copy the problem, mark the givens in the diagram, and write a Statement/Reason proof. Given: CN = WN, ∠C ≅ ∠W Prove: RN ≅ ON
Answer:
uh the area is 45 for the first one because 15*9 is 135 and 15*6 is 90 because you get 6 from 15-9 to get the length for the triangle. Then 135-90 is 45.
Step-by-step explanation:
The area for the second shape is 114 because you will take 14 multiplied by 12 and you get 168, then you will take 6*9 which is 54 and subtract that from 168, and you should get 114.
The area for the third shape is i dont even know because it doesnt give numbers unless your trying to find it with the letters but at least you got the first two
Answer:
45
Step-by-step explanation:
Use distributive property to remove the parenthesis for:
(1-y+x)(-6)
Answer:
Step-by-step explanation:
Multiply -6 to the first bracket so it would be
-6+6y-6x This is the answer
use the table to predict the number of times you spin 5 when you spin the spinner 100 times
Answer:
14
Step-by-step explanation:
Add all values in "Times spun".
9 + 11 + 7 + 9 + 7 + 7
= 50
The spinner was spun a total of 50 times in the table.
We are looking for information if the spinner is spun 100 times, which is double of 50.
To predict information for spinning 100 times, double the data given in the table.
# of times "5" was spun for 50 spins (in table): 7
Double 7:
7 * 2 = 14
# of times "5" will likely be spun for 100 spins: 14
Or, solve using proportions:
The proportions are given in: (times "5" was spun)/(total spins)
[tex]\frac{7}{50} = \frac{?}{100}[/tex]
Since you double 50 to make 100, double 7 to solve for "?"
[tex]\frac{7}{50} = \frac{14}{100}[/tex]
∴ if you spin the spinner 100 times, you will spin "5" 14 times.
Answer:
14
Step-by-step explanation:
7 * 2 = 14
(5,2) & (-3, 6)
questions said slope intercept form
write the equation of the line that passes through the two Points
Answer:
-1/2x + 4.5
Step-by-step explanation:
Find out the slope by substituting the values in the formulas.
y2 - y1 / x2 - x1 6 - 2 / -3 - 5
-1/2
Now find the y-intercept.
y = mx + b
6 = -1/2 (-3) + b
6 = 3/2 + b
9/2 = b
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ettings
cos(4x2) - 1
(1 point) Let f(x) =
Evaluate the 10th derivative of f at x = 0.
x2
Problems
f(10)(0) =
Hint: Build a Maclaurin series for f(x) from the series for cos(x).
1
2
3
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You have attempted this problem 5 times.
Your overall recorded score is 0%.
You have 1 attempt remaining.
11 times the sum of 8 and 14, divided by 5
Answer:
See below, please!
Step-by-step explanation:
[tex]\frac{11(8+14)}{5}[/tex]. Use PEMDAS. Sum of 8 and 14 is 22, multiply that by 11, and then divide by 5. Your answer is 48.4.
Hope this helped!
HELP please my friend needs help with his MATH homework, see picture for problem TY :)
[4 ×{ 3 - ( 2- 1/3 )}]
help with geometry question please
Answer:
23.5
Step-by-step explanation:
30.2-6.7=23.5
23.5+6.7=30.2
What is the image point of (7,0) after a translation right 2 units and up 1 unit?
Answer: (9,1)
Step-by-step explanation: This is because x (7) moves left and right, and y (0) moves up and down. the formula would be (x, y) --->(x+2, y+1)
The prism below is made of cubes which measure of a centimeter on one side. What is the volume?
Please answer this question and I will give you brainliest and 15 points
Answer:
45/8 cubic cm
Step-by-step explanation:
The volume of a prism can be determined using the formula below.
Volume = length × width × height
Since each cube measures of a centimeter on one side, then the dimensions of the prism are shown below.
Length = 5 x 1/2 cm
Width = 3 x 1/2 cm
Height = 3 x 1/2 cm
Answer:
5/3
Step-by-step explanation:
Find the volume of the cone that sits on top of the cylinder
Answer:
Vc = (π/3)✓17 ≈ 4.12 ft³
Step-by-step explanation:
h = ✓(4²+1²)
h = ✓17
V = πr²h/3
V = π(1)²✓17/3
V = (π/3)✓17 ≈ 4.12
10 points pls answer ASAP
Answer:
145
Step-by-step explanation:
Its the opposite angle of 145
What number should go into the blank so that the two expressions are equivalent to each other?
4(4b + 17c) = __b + 68c
The midpoints of the hexagon are connected to form another hexagon, this pattern continues indefinitely. If the area of the 99th hexagon formed by this pattern is 1, what is the area of the original hexagon?
Answer:
(4/3)⁹⁸ units²Step-by-step explanation:
Regular hexagons have a property that cutting off the triangles obtained by joining the midpoints of consecutive sides leaves a hexagon of 3/4 of the area.This means the area of each hexagon inside out starting from the one with unit area is 4/3 of the previous one.
99 ⇒ 198 ⇒ 1*4/397 ⇒ 1*(4/3)²...1 ⇒ (4/3)⁹⁹⁻¹The original hexagon has the area of:
(4/3)⁹⁸ units²Answer:
(4/3)^98units.
Step-by-step explanation:
By hexagonal property in which cut off the triangles obtained be the joining of m.p of adjacent sides which left 3/4 of total area.
Please answer this!!!!!!!!!!
Answer: Dylan
Step-by-step explanation:
Dylan because i it has 8 sides and if each student rolls it 200 times, then you should divide 200 by 8. Which would make the odds 1/25. And Dylan´s number is closest to 25.