Given:
The expression is
[tex]\dfrac{12\pi}{10\pi}\times \dfrac{5\pi}{6\pi}[/tex]
To find:
The value of the given expression closest to the whole number.
Solution:
We have,
[tex]\dfrac{12\pi}{10\pi}\times \dfrac{5\pi}{6\pi}[/tex]
Cancel out the common factors from each fraction.
[tex]=\dfrac{6}{5}\times \dfrac{5}{6}[/tex]
[tex]=\dfrac{6\times 5}{5\times 6}[/tex]
[tex]=\dfrac{30}{30}[/tex]
[tex]=1[/tex]
Therefore, the value of the given expression is 1.
1. Let the side length of each small square on the grid represent 1 unit. Draw two different triangles, e. Ach with base 5 1/2 units and area 19 1/4 units2. 2. Why does each of your triangles have area 1914 units2?
Answer:
Step-by-step explanation:
Given that:
Each small square on a grid represents 1 unit
Base of triangle = 5 1/2 units = 11/2
Area of triangle = 19 1/4 unit² = 77/4
The Area, A of a triangle is obtained thus :
77/4 = 1/2 * 11/2 * h
77/4 = 11/4 * h
h = 77/4 ÷ 11/4
h = 77/4 * 4 /11
h = 7 units
Answer: 20
Step-by-step explanation:
if given a set of ordered pairs how will you determine if it is a function?
Solve the simulateous equation 3x-4y=18 , 9x+2y=12
What is the equation of the line that passes through the point
(
7
,
2
)
(7,2) and has a slope of
1
1?
Answer:
(y+2)= -3(x-7)
Step-by-step explanation:
We can use the slope-intercept formula to write this equation. The slope-intercept form of a linear equation is:
y = m x + b
Where m is the slope and b is the y-intercept value.
We can substitute the slope into the formula giving:
y = − 3 x + b
Next, we can substitute the values from the points in the problem for x and y and solve for b :
− 2 = ( − 3x 7 ) + b
− 2 = − 21 + b
21 − 2 = 21 − 21 + b
19 = 0 + b
19 = b
We can now substitute the slope from the problem and the value for b we calculated into the formula to write the equation.
y = − 3 x + 19
Another process is to use the point-slope formula. The point-slope formula states:
( y − y 1 ) = m ( x − x 1 )
Where m is the slope and ( x 1 , y1 ) is a point the line passes through.
Substituting the slope and values from the points in the problem gives:
(y − − 2 ) = − 3 (x-7)
( y + 2 ) = − 3 ( x − 7 )
Mary was sitting on the ground flying a kite. She had 14 yards of line let out to fly her kite, and the kite was 13 feett in front of her. How high up was the kite? Round answer to the nearest ten-thousandths.
answer 10,000 Because if you round thirteen to the nearest ten thousand it's ten thousand
Explanation
because 10,000 is the first 10,000 you can ever get to
A spaceship to the moon covered the 386,400 km in 72 hours. What was the average speed?
Answer:
289300 miles/72 hours * 1.60934 km/mile* 1 hour/3600 seconds = 1.48 km/second. Answer 6: To get average speed, we divide the total distance by the total time it takes to travel that distance. If we assume the distance to the moon is 238,900 miles then we divide by 72 hours to get roughly 3318 mph.
Step-by-step explanation:
Hope this helps!!
please help me
Can the measure of an exterior angle of a triangle ever exceed 180°? Explain your reasoning.
Answer:
Yes I believe so because the interiors of a triangle always add up to 180 degrees meaning the outside mustn't follow this same rule hop this helps!
Step-by-step explanation:
Answer:
Lets assume you have a triangle ABC with a straight horizontal line at the bottom say line segment CD. In order for the exterior angle to be greater than 180 it must be a exceed rad Pi which mean it is impossible for an exterior angle to exceed the 180 rule
egan's flower bed has a length of 6 feet and a width of six eighths feet. Which of the following is true?
Question 13 options:
The area of the flower bed is equal to 8 square feet.
The area of the flower bed is larger than 8 square feet.
The area of the flower bed is equal to 6 square feet.
The area of the flower bed is smaller than 6 square feet.
27-[18+(16÷(2×3-4))]
Answer:
1
Step-by-step explanation:
27 - {18 + (16 ÷ (2 x 3 - 4))}
27 - {18 + (16 ÷ (6 - 4))}
27 - {18 + (16 ÷ 2)}
27 - {18 + 8}
27 - 26 = 1
Pls help me I will mark no need explanation ❤️❤️
Answer:
-1/3
Step-by-step explanation:
It's going 1 down and 3 across
June was thinking of a number. June subtracts 5.6 from the number and gets an answer of 76.9. Form an equation with x from the information.
Answer: x - 5.6 = 76.9
Step-by-step explanation:
The number June thought of would give a result of 76.9 if 5.6 were subtracted from it.
Assume that number is x.
If you subtract 5.6 from x, you would get 76.9.
Equation is therefore:
x - 5.6 = 76.9
Solving for x would make x:
x - 5.6 = 76.9
x = 76.9 + 5.6
x = 82.5
Find the height of a cuboid whose volume is 540 cu.cm and base area is 90 sq.cm .
Answer:
540/90=6
and is 6 cm
height is 6 cm
Please help me out with this problem
Answer:
KR
Step-by-step explanation:
First, you can see the right angle and the 30 degrees. Those are the same, so we can flip the triangle on the right to match the one on the left. The line that is similar is KR.
tres amigos. se van de viaje y quieren. alquilar un coche durante un fin de semana.
Han calculado que cada uno tendra que pagar en total 600 pesos por el alquiler del coche.
Antes de reservar se apuntan dos amigos mas
cuanto tendrian que pagar cada hora?
Answer:
operaciones : 600×3= 1800÷5=360.
Step-by-step explanation:
y entonces cada amigo tendra que pagar 360 ya que eran 3 amigos y iban a pagar 600 cada uno pero ahora son 5 asi que deben de pagar 360
3) Calculate the area of the entire triangle below. Show your work *
22
31
8
Answer:
a = 1/2 (b) (h)
Step-by-step explanation:
Use Pythagorean theorem for sub triangle on the left: 8^2 + h^2 = 22^2
Use Pythagorean again for sub triangle on the right: x^2 + h^2= 31^2
Find your base: 8+x=b
Find entire area: a = 1/2 (b) (h)
solve the right triangle (45-45-90)
Answer:
[tex]HI=HJ=\sqrt{30}[/tex]units
[tex]\angle I=45^{\circ}[/tex]
Step-by-step explanation:
We are given that
[tex]\angle J=45^{\circ}[/tex]
[tex]JI=2\sqrt{15}[/tex]units
We know that
[tex]sin\theta=\frac{Perpendicular\;side}{hypotenuse}[/tex]
Using the formula
[tex]sin45=\frac{HI}{2\sqrt{15}}[/tex]
[tex]\frac{1}{\sqrt{2}}\times 2\sqrt{15}=HI[/tex]
Where [tex]sin45^{\circ}=\frac{1}{\sqrt{2}}[/tex]
[tex]\frac{2\sqrt{15}\times \sqrt{2}}{\sqrt{2}\times \sqrt{2}}=HI[/tex]
By using rationalization
[tex]HI=\sqrt{30}[/tex] units
[tex]Cos45=\frac{HJ}{2\sqrt{15}}[/tex]
Using the formula
[tex]cos\theta=\frac{base}{hypotenuse}[/tex]
[tex]\frac{1}{\sqrt{2}}\times 2\sqrt{15}=HJ[/tex]
[tex]\frac{2\sqrt{15}\times \sqrt{2}}{\sqrt{2}\times \sqrt{2}}=HJ[/tex]
[tex]HJ=\sqrt{30}[/tex] units
When two sides are equal then angle made by two equal sides are equal
Therefore,
[tex]\angle J=\angle I=45^{\circ}[/tex]
4y + 4 = 2y - 10
can somebody break this down to solve it ? please
Answer:
y=-7
Step-by-step explanation:
first, you want variables on one side, numbers on the other side of the equation.
4y+4=2y-10
*plus ten on both side to get rid of -10*
4y+14=2y
*minus 4y on each side to get rid of 4y*
14=-2y
*divide by -2 on each side to get the value of just one y itself*
y=-7
abdel purchased a candy bar for $1.47 and ice cream for $3.48. How much change did he receive if he paid a ten-dollar bill.
A postcard has a perimeter of 20 inches. Its area is 21 square inches. What are the dimensions of the postcard?
Answer:
Length = 3 inches
Width = 7 Inches
Step-by-step explanation:
The shape of a postcard = Rectangle
L = Length
W = Width
A postcard has a perimeter of 20 inches.
Formula for perimeter of a rectangle = 2L + 2W
Hence:
2L + 2W = 20.... Equation 1
Its area is 21 square inches.
The formula for Area of a rectangle = LW
Hence:
LW = 21
L = 21/W
We substitute 21/W for L in Equation 1
2L + 2W = 20.... Equation 1
2(21/W) + 2W = 20
42/W + 2W = 20
Multiply both sides by W
42 + 2W² = 20W
2W² - 20W + 42 = 0
2W - 14W - 6W + 42 = 0
(2W - 6)( W - 7) = 0
2W - 6 = 0
2W = 6
W = 6/2 = 3
W - 7 = 0
W = 7 inches
Solving for L
L = 21/W
W = 7
L = 21/7
L = 3 inches
The dimensions of the postcard are:
Length = 3 inches
Width = 7 Inches
__+7=2?
(Postive 7^)
I think the answer is,
[tex] - 5[/tex]
sorry if I'm wrong :(
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
Step-by-step explanation:
x=180-59-41
x=80
Answer: 80°
Step-by-step explanation:
The sum of all angles in a triangle is always 180°
so 59° + 41° + x ° = 180°
or x = 180 - 41 - 59 = 80
A b and c are positive integers A:B = 3:8 and B:C = is 6:11 What is the smallest possible value of a + b + c
If you can help me with Slope Intercept plz help me
Answer:
y = 6/5x - 2 (or y = 1.2x - 2)
Step-by-step explanation:
To find the slope-intercept form ( = mx + b) you need to rearrange the equation of the line:
Step 1 - Add 18x to both sides
15y = 18x - 30
Step 2 - Divide both sides by 15.
y = 6/5x - 2
Kyle has 105 baseball cards and must give 2/5 of his cards away.
1.How many cards will Kyle give away?
2. What fraction of his cards does he have left?
Decide if the following statement is valid or invalid.
If it is sunny this week, then we will go to the park. We went to the park today, so it is sunny .
True or False
Answer:
the answer is false
Step-by-step explanation:
just cause it is
WILL MARK BRAINLIEST
A green number cube and a red number cube are rolled. An outcome is the pair of numbers rolled on the two different cubes. Which of the following are true? Select all that apply.
Each result is equally likely.
The sample space has 36 different outcomes.
The sample space has 11 different outcomes.
A total roll of 7 is very likely.
Answer:
Each result is equally likely.
The sample space has 36 different outcomes.
Explanation:
A number cube has 6 sides, and there are 2 number cubes so there are 36 possible outcomes because 6² = 36
Answer:
Each result is equally likely.
The sample space has 36 different outcomes.
Step-by-step explanation:
Solve this please with steps b^4-3b^3-10b^2
Answer:
Step-by-step explanation:
There's no "solving" to be done because its an expression, but im assuming the question wants you to factor.
[tex]b^4-3b^3-10b^2[/tex]
First, factor out a b^2
[tex]b^2(b^2-3b-10)[/tex]
Factor the trinomial. What two numbers multiply to equal -10 but add to equal -3? They are -5 and +2
[tex]b^2((b-5)(b+2))[/tex]
8 x = 56 x =____ help
Answer:
7
Step-by-step explanation:
Divide each term by 8 and simplify
describe and correct the error
-1/4 ÷ 3/2 = - 4/1 × 3/2 = -12/2 = -6
Answer:
-1/6
Step-by-step explanation:
(-1/4)/(3/2)=(-1/4)(2/3)=-2/12=-1/6
How do I solve 2/3x-1=-3