Answer: 5.32 × 10^12
Step-by-step explanation:
This is a question relating to indices. In indices, we add the power given for question relating to multiplication. Hence, this will be:
= (2.8•10^8)(1.9•10^4)
= (2.8 × 1.9) × 10^8+4
= 5.32 × 10^12
Therefore, the answer to the question will be 5.32 × 10^12.
In the coordinate plane, you are given JKL with J(2, 3), K(10,4), and L(6, 10). Using the distance formula, classify JKL
Answer:
Perimeter of JKL = 22.55 unit (Approx.)
Step-by-step explanation:
Given:
Coordinate of J = (2,3)
Coordinate of K = (10,4)
Coordinate of L = (6,10)
Find:
Perimeter of JKL
Computation:
Distance = √(x1 - x2)² + (y1 - y2)²
Distance between JK = √(2 - 10)² + (3 - 4)²
Distance between JK = √64 + 1
Distance between JK = √65
Distance between JK = 8.06 unit
Distance between KL = √(10 - 6)² + (4 - 10)²
Distance between KL = √16 + 36
Distance between KL = √52
Distance between KL = 7.21 unit
Distance between LJ = √(6 - 2)² + (10 - 3)²
Distance between LJ = √4 + 49
Distance between LJ = √53
Distance between LJ = 7.28 unit
Perimeter of JKL = Distance between JK + Distance between KL + Distance between LJ
Perimeter of JKL = 8.06 + 7.21 + 7.28
Perimeter of JKL = 22.55 unit (Approx.)
A tree is 73 inches tall. How tall is it in feet and inches?
Answer:
6 ft 1 inch
Step-by-step explanation:
We know that there are 12 inches in a foot. So we divide 73/12, which gives us 6 remainder 1. So there are 6 ft and 1 inch.
Answer:
6.08 feet
Step-by-step explanation:
converted it on a site and this was it
Please helpppppppppppp
Answer:
Maximum: 10
Minimum: 2
Q1: 3.5
Q2: 6
Q3: 8.5
Range: 8
Step-by-step explanation:
hope this helps and is right. p.s i really need brainliest :)
Kate thought she could only run for 12 minutes, but she actually ran for 25 minutes. What is the percent error?
Answer:
[tex]108\frac{1}{3}[/tex] %
Step-by-step explanation:
[tex]\frac{25}{12} :\frac{y}{100}[/tex]
12 · y = 25 · 100
12y = 2500
12y ÷ 12 = 2500 ÷ 12
[tex]y=208\frac{1}{3}[/tex]
[tex]208\frac{1}{3} - 100 = 108\frac{1}{3}[/tex]
What is the surface area of this pyramid?
Answer:
Surface area of the given pyramid = 386.16 cm²
Step-by-step explanation:
Surface area of the given pyramid = Area of the square base + Area of the lateral sides
Area of the square base = (Side)²
= (12)²
= 144 cm²
Area of the lateral side = [tex]\frac{1}{2}(\text{Base})(\text{Lateral height})[/tex]
Lateral height of the triangle = [tex]\sqrt{6^2+(9.1)^2}[/tex] [By applying Pythagoras theorem]
= [tex]\sqrt{82.81+36}[/tex]
= [tex]\sqrt{118.81}[/tex]
= 10.9 cm
Area of the lateral side = [tex]\frac{1}{2}(12)(10.9)[/tex]
= 60.54 cm²
Surface area of the given pyramid = Area of the base + 4(Area of one lateral side)
= 144 + 4(60.54)
= 144 + 242.16
= 386.16 cm²
math
15 points
please help
Answer:
48 m²
If AB is 4 m and BC is 12 m then AD 12 m and you multiply 4 × 12 in it is 48 m²
Plsss help I am falling
Answer:
that sucks
Step-by-step explanation:
srry man i got nothin
Which statement is given in the diagram?
Answer:
Both shapes ADE and ABC are the exact same thing because those dashes mean that they match up with another.
Step-by-step explanation:
A recent survey stated ''4 out of 5 dentists prefer Clean Toothpaste.'' There were 80 dentists in the survey. How many dentists preferred Clean Toothpaste
A: 36
B: 44
C: 64
D: 100
PEASE HELP ASAP!!! The sum of two numbers is 58.
The difference of those two numbers
is 28. Find both numbers.
Answer:
y=15
x=43
(any variable can be used, I used x and y to make it easier to show)
Step-by-step explanation:
x+y=58
x-y=28
get x by its self
x=58-y
then subsitute into the other equation
(58-y)-y=28
58-2y=28
-2y=-30
y=15
sub. again
x+15=58
x=43
Learn with an example
Isaac earns $16 for each hour of babysitting. How many hours in all will it take Isaac to
earn a total of $32?
Answer:
It would take 2 hours for Isaac to earn $32
Step-by-step explanation:
16*2=32
A density graph for all the possible speeds between 0 mph and 160 mph is in
the shape of a triangle. What is the height of the triangle?
A. 0.00625
B. 0.025
C. 0.0125
D. 0.003125
Answer: .0125
Step-by-step explanation:
do it and I give 100 points
a^2 is correct
my past answer was incorrect but this 100 percent is correct
Find the area of the object.
Use the formula.
Show me how you substitute into the formula.
Give me the answer with the correct unit.
A store wants to have an end of year sale so they discount all prices by 35%. If you buy an item that originally sells for $80.00, how much are you paying for it after the discount?
Answer:
$52.00
Step-by-step explanation:
35% of $80
(35÷100) ×80
0.35× 80
$28.00
$80 -$28
$52.00
Find the value of x and the value of y
Answer:
look at the picture i have sent
express the sum of 2x and y is multiplied by 5 in an algebraic expressions
Answer:
(2x + y)*5
Step-by-step explanation:
Translating the word problem into an algebraic expression, we have;
(2x + y) * 5
Simplifying an expression simply means to collect like terms that are having the same variables or constants and combining them, so as to reduce the expression to the lowest possible value.
Simplifying further by opening the bracket, we have;
(2x + y)*5 = 10x + 5y
Can somebody please help me
Step-by-step explanation:
For y = 2^x:
f(-3) = 2^-3. f(-2) = 2^-2. f(-1) = 2^-1
= 1/8 = 1/4. =1/2
f(0) = 2^0 f(1) = 2^1. f(2) = 2^2
= 1 = 2. =4
f(3) = 2^3
=8
For 3y = 7x + 3, y= (7x+3)/3
f(-3) = [7(-3)+3] / 3. f(-2) = [7(-2)+3] / 3
= -6. = -11/3
f(-1) = [7(-1)+3] / 3. f(0) = [7(0)+3] / 3
= -4/3 = 1
f(1) = [7(1)+3] / 3. f(2) = [7(2)+3] / 3
= 10/3 = 17/3
f(3) = [7(3)+3] / 3.
= 8
point of intersection, where y=2^x and 3y = 7x + 3 has the same x and y coordinate
Answer: (0,1) and (3,8)
KHAN ACADEMY HELP pls
Answer:
image
Step-by-step explanation:
plzzz give me brainliest
Can someone help solve this, thanks.
Let a, β, y be the three interior angles of any triangle, try to prove that cos(a+β+y)= -1.
Given:
[tex]\alpha, \beta, \gamma[/tex] are three interior angles of any triangle.
To prove:
[tex]\cos (\alpha+\beta+\gamma)=-1[/tex]
Solution:
Angle sum property of a triangle: According to this theorem the sum of all three interior angle of a triangle is always 180 degrees.
It is given that, [tex]\alpha, \beta, \gamma[/tex] are three interior angles of any triangle.
By using the angle sum property of triangles, we get
[tex]\alpha+\beta+\gamma =180^\circ[/tex] ...(i)
We need to prove,
[tex]\cos (\alpha+\beta+\gamma)=-1[/tex]
Taking LHS, we get
[tex]LHS=\cos (\alpha+\beta+\gamma)[/tex]
[tex]LHS=\cos (180^\circ)[/tex] [Using (i)]
[tex]LHS=-1[/tex]
[tex]LHS=RHS[/tex]
Hence proved.
The measures of the interior angles of a pentagon are 2x + 15, 3x, 3x + 5, 4x + 10, and 5x. What is the measure of the largest angle for this pentagon?
130
140
160
150
Answer:
i think 140
Step-by-step explanation:
even tho this one old
A pentagon's largest internal angle is 150 degrees.
What is a pentagons?The geometric shape known as a pentagon has five sides and five angles. Penta here means five, and gon means angle. One of the different kinds of polygons is the pentagon. A regular pentagon's internal angles add up to 540 degrees.
Given, The measures of the interior angles of a pentagon are 2x + 15, 3x, 3x + 5, 4x + 10, and 5x. Since the sum of all the interior angles of the pentagon is 540 degrees. Hence
2x + 15 + 3x + 3x + 5 + 4x + 10 + 5x = 540
17x + 30 = 540
17x = 510
x = 30
All five angles of the pentagon are 75, 90, 95, 130, and 150.
Therefore, the biggest interior angle of a pentagon is 150 degrees.
Learn more about the pentagons here:
https://brainly.com/question/27476
#SPJ2
Question is in image
Answer:
4x + 8x = 180
12x = 180
x = 15
Hello Good morning can someone give me the answer of this operation?
39 + 1 - 24 / 6=
Also can you tell me the order? :> Thanks!!
Answer:
The answer is 36
Step-by-step explanation:
Because 39+1=40
So then 40-24=16
and then divided by 6 is 36 because when you divide you multiply
Cos (a + 60 ) + Cos (a-60)
Answer:
the answer is 0.9988747935
hope that works!!
Solve the right triangle. 34.5 Find the length of the side opposite to the given angle. (Round your answer to two decimal places.) Find the length of the side adjacent to the given angle. (Round your answer to two decimal places.) Find the other acute angle. rad
Answer:
a) 388.03
b) 148.49
c) π/8
Step-by-step explanation:
Find the diagram attached
Let the opposite side be y
Given
a) Hypotenuse = 420
theta = 3π/8 rad
theta = 3(180)/8
theta = 67.5degrees
Using the SOH CAH TOA identity
sin theta = opposite/hypotenuse
sin 67.5 = y/420
x = 420sin67.5
x = 420(0.9238)
x = 388.03
Hence the length of the side opposite to the given angle is 388.03
b) Hypotenuse = 420
theta = 3π/8 rad
theta = 3(180)/8
theta = 67.5degrees
Using the SOH CAH TOA identity
cos theta = adjacent/hypotenuse
cos 67.5 = x/420
x = 420cos67.5
x = 420(0.3827)
x = 148.49
Hence the length of the side adjacent to the given angle is 148.49
c) The sum of angle in the triangle is π
Let the measure of the unknown angle be z
z + 3π/8 + π/2 = π
z + 3π+4π/8 = π
z + 7π/8 = π
z = π - 7π/8
z = (8π-7π)/8
z = π/8
Hence the measure of the other acute angle is π/8
which decimal is equivalent to -9/4
Answer:
-2.25
Step-by-step explanation:
1/4=0.25
0.25 times -9= -2.25
the table below shows the distribution of students in Mrs. boxer 6th grade class what is the ratio of the number of girls to the total number of students ? * it is 15 boys and 12 girls. Write each ration as a fraction
Answer:
Ratio is 12:27 ratio as a fraction is 12 over 27
Step-by-step explanation:
no need for explaination lolz
What are 3 ways to add receipts to QuickBooks Online using the Receipt Capture feature?
Answer:
1.Scan the receipts directly through the QuickBooks mobile app – more on that below.
2.Drag and drop the image, or upload it into QuickBooks Online.
3.Forward the receipt by email.
If we want to fit 1000 people in our auditorium and have 25 seats in a row, how many rows do we need?
Answer:
40 rows
Step-by-step explanation:
Divide 1000 by 25, and you get 40.
Answer:
40
Step-by-step explanation:
We need 40 rows because 1000/25 = 40, therefore we need 40 rows.
Help.me its urgent
Find the total surface area and volum of given prism
Answer:
Total surface area = 434 cm²
Total volume = 470 cm³
Step-by-step explanation:
1. The prism can be decomposed into two rectangular prisms which are the bigger rectangular prism and the smaller rectangular prism
✔️Total surface area of the prism = (surface area of the bigger prism - area of the face joined to the smaller prism) + (surface area of the smaller prism - area of the face joined to the bigger prism)
Surface Area of bigger prism = 2(LW + LH + HW)
L = 10 cm
H = 8 cm
W = 9 - 5 = 4 cm
Area of bigger rectangular prism = 2(10*4 + 10*8 + 8*4)
= 304 cm²
Surface area of the smaller prism = 2(LW + LH + HW)
L = 10 cm
H = 3 cm
W = 5 cm
Area of bigger rectangular prism = 2(10*5 + 10*3 + 3*5)
= 190 cm²
Area of the face joining both rectangular prisms = L*W
L = 10 cm
W = 3 cm
Area = 10*3 = 30 cm²
✅total surface area of the prism = (304 - 30) + (190 - 30) = 274 + 160 = 434 cm²
2. Volume of the prism = volume of the bigger rectangular prism + volume of the smaller rectangular prism
✔️Volume of the bigger rectangular prism = L*W*H
L = 10 cm
H = 8 cm
W = 9 - 5 = 4 cm
Volume = 10*8*4 = 320 cm³
✔️✔️Volume of the bigger rectangular prism = L*W*H
L = 10 cm
H = 3 cm
W = 5 cm
Volume = 10*3*5 = 150 cm³
✅Total Volume of the prism = 320 + 150 = 470 cm³
