Answer:
C. 200.96 yd²
Step-by-step explanation:
diameter = 16 yd
radius = diameter/2 = 16 yd / 2 = 8 yd
area = πr²
area = 3.14 × (8 yd)²
area = 200.96 yd²
A shop sells school supplies. a) Pens are sold in boxes. Each box contains 12 pens. How many pens are there in 5 boxes? How many pens are there in 50 boxes? How many pens are there in 200 boxes?
Answer:
60,600,2400
Step-by-step explanation:
12 x 5=60, 50 x 12=600, 200 x 12=2400.
Ankur estimated the quotient of 15 and one-third divided by (negative 4 and two-thirds) to be 3. Which best describes his error? Ankur multiplied the compatible numbers 15 and –3. Ankur found that the quotient of a positive number and a negative number is negative. Ankur found that the quotient of a positive number and a negative number is positive. Ankur added the compatible numbers 15 and –3.
Answer:
C. Ankur found that the quotient of a positive number and a negative number is positive
Step-by-step explanation:
Given the expression that is solved by Ankur as shown;
[tex]15 \frac{1}{3} \div(-4\frac{2}{3} )[/tex]
We were told that Ankur got 3. Let us evaluate to see ankurs error.
change to improper fraction first
[tex]= 15 \frac{1}{3} \div(-4\frac{2}{3} )\\= \frac{46}{3} \div \frac{-14}{3} \\= \frac{46}{3} \times \frac{-3}{14} \\= \frac{-46}{14}\\ = -3.28[/tex]
Note that from the calculation the quotient of a positive number to a negative number returns a negative number. Based on Ankur's answer, he got a postive value which is one of his errors. He found out that the quotient of a positive number and a negative number is positive which is wrong.
Hence the correct option is C
Answer:
Step-by-stepAnkur found that the quotient of a positive number and a negative number is negative
Step-by-step explanation:
Given that:
Quotient of 15 and one-third divided by (negative 4 and two-thirds) = 3
Mathematically,
( 15 1/3) ÷ (-4 2/3) = 3
Here,
Dividend = 15 1/3 (positive)
Divisor = - 4 2/3 (negative)
Dividing a positive Dividend by a negative Divisor will always give a negative quotient
Hence,
15 1/3 = 46 / 3
-4 2/3 = - 14 / 3
46/3 ÷ - 14/3
= 46/3 * -3 / 14
Ankur must have either forgotten or neglected the negative sign in the divisor explanation:
so the answer is b
one leg of a right triangle is twice as long as the other leg, If the hypotenuse side is 5cm long then what is the measure of the shorter leg (you can leave your answer as a decimal or in radical form)
Step-by-step explanation:
Let the base be x and the perpendicular be y.
It is given that, one leg of a right triangle is twice as long as the other leg,
y = 2x ...(1)
Hypotenuse, H = 5 cm
We can use Pythagoras theorem as follows :
[tex]H^2=B^2+P^2[/tex]
Putting all the values,
[tex]5^2=x^2+(2x)^2\\\\25=x^2+4x^2\\\\25=5x^2\\\\x^2=5\\\\x=\sqrt{5}\ cm[/tex]
So, the base is [tex]\sqrt5\ cm[/tex]. No, to find the value of y put x in equation (1). So,
[tex]y=2x\\\\=2\sqrt{5} \ cm[/tex]
Hence, the measure of the shorter leg is [tex]\sqrt{5} \ cm[/tex]
Solve for X, round to the nearest tenth of a degree is necessary
Answer:
x= 35.2344 °
Step-by-step explanation:
Sides:
a = 2.6 m
b = 2.12368 m
c = 1.5 m
Angles:
A = 90 °
B = 54.7656 °
C = 35.2344 °
Other:
P = 6.22368 m
s = 3.11184 m
K = 1.59276 m2
r = 0.511838 m
R = 1.3 m
C = angle C
a = side a
b = side b
c = side c
P = perimeter
s = semi-perimeter
K = area
r = radius of inscribed circle
R = radius of circumscribed circle
AAS is Angle, Angle, Side
Given the size of 2 angles and 1 side opposite one of the given angles, you can calculate the sizes of the remaining 1 angle and 2 sides.
Use the Sum of Angles Rule to find the other angle, then
use The Law of Sines to solve for each of the other two sides.
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
12 kg to 28 kg
Answer:
28/12
Step-by-step explanation:
During math class last week, Terrence was asked to determine if the equation shown has no solution, one solution, or infinitely many solutions
101 - 6+ 2. = 4(3x - 1) - 2
Terrence concluded that the equation has infinitely many solutions
Determine if Terrence's conclusion is correct that the equation has infinitely many solutions
Show each step of your work and justity your thinking
Enter your answer work, and justification in the box provided
The equation can have no solution or as many solutions as possible
Terrence's conclusion that the equation has infinitely many solutions is false
How to determine the number of solutions?The equation is given as:
101 - 6+ 2 = 4(3x - 1) - 2
Open the bracket
101 - 6+ 2 = 12x - 4 - 2
Collect the like terms
12x = 101 - 6+ 2 + 4 + 2
Evaluate the like terms
12x = 103
Divide both sides by 12
x =103/12
The above shows that the equation has one solution
Hence, Terrence's conclusion that the equation has infinitely many solutions is false
Read more about equation solutions at:
https://brainly.com/question/7784687
a student believes...
Answer:
B
Step-by-step explanation:
This is correct because we already know that the two sides are congruent and that we have one more side we need to prove congruent. Well, it is congruent because it's just lined up next to each other, so they're equal which is BD=DB. This would make it so it would be SSS and the two triangles are congruent.
Please let me know if you need further explanation.
A soccer ball is kicked upward from a height of 2 feet with an initial vertical velocity of 30 feet per second. The function: h(t)=-16t^2+30t+2h(t)=−16t 2+30t+2 represents this situation.
To the nearest hundredth of a second, when will the soccer ball hit the ground?
It would take about 1.94 seconds for the soccer ball to hit the ground.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of the soccer ball after time t, hence:
h(t) = -16t² + 30t + 2
The soccerball hits the ground when h = 0, hence:
0 = -16t² + 30t + 2
t = 1.94 seconds
It would take about 1.94 seconds for the soccer ball to hit the ground.
Find out more on equation at: https://brainly.com/question/2972832
Do I need to show work can some help me no links
Answer:
Your answer is 100
Step-by-step explanation:
Big rectangle:
10 x 8 = 80
Small square:
4 x 4 = 16
Triangle:
to find base of triangle add 8 and 4, after subtract it from 14, you get 2, the height is 4.
1/2(2 x 4)
1/2(8)
8 / 2 = 4
Add all area:
80 + 16 + 4 = 100
What is the solution?
Answer:
MAYBE IF YOU STUDIED YOU'D KNOW THE ANSWER
Step-by-step explanation:
Why does a square root function not have a domain of all real numbers
Can somebody please help me with this
Answer:
Check the image
Step-by-step explanation:
Hope this helps!
A washing machine has the following cycle: soak for 15 minutes, wash for 30 minutes, and rinse for 10
minutes. If you approach the machine at a random during the cycle, what is the probability that the cycle will be
in the rinse phase when you arrive at the machine? Round your answer to the nearest hundredth.
Answer:
0.18
Step-by-step explanation:
Solve this equation:
3y-4=6 -2y
Answer:
y = 2
Step-by-step explanation:
[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]
[tex]3y-4+4=6-2y+4[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]3y=-2y+10[/tex]
[tex]\mathrm{Add\:}2y\mathrm{\:to\:both\:sides}[/tex]
[tex]3y+2y=-2y+10+2y[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]5y=10[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}5[/tex]
[tex]\frac{5y}{5}=\frac{10}{5}[/tex]
[tex]\mathrm{Simplify}[/tex]
y = 2
~Learn with Lenvy~
Answer:
y = 2
Step-by-step explanation:
Rearrange terms
3y -4 = -2y +6
Add 4 to both side
3y -4 +4 = -2y +6+4
Simplify
3y = -2y + 10
Add 2y to both sides
3y +2y = -2y + 10 +2y
Simplify
5y = 10
Divide both sides by the same factor
5y/5 = 10/5
Simplify
y = 2
[RevyBreeze]
Which of the following is a solution of the equation 6y + 8 = 20?
1 ) 2
2) 14/3
3) 1/2
It can be more than one
Answer:
y=2
Step-by-step explanation:
6y+8=20
6y=12
y=12÷6
y=2
Hope this helps! :)
need help to answer this question please
Answer:
width = 3 cm
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × width
given A = 27 and length = 9 , then
9 × width = 27 ( divide both sides by 9 )
width = 3 cm
❝ Area of a rectangle is ❞ = ❝ Length × Width ❞
✠ Given terms :
➺ Area = 27 cm²
➺ length = 9 cm
✠ Now, let's assume the width to be ❝ x cm ❞ and proceed to find its value using given relation ~
[tex]\qquad \: \twoheadrightarrow\sf Area = L × B [/tex]
[tex]\qquad \: \twoheadrightarrow\sf 27 = 9 × x [/tex]
[tex]\qquad \: \twoheadrightarrow \sf x = 27 ÷ 9[/tex]
[tex]\qquad \: \twoheadrightarrow \sf \: x = 3 \: cm[/tex]
✠ Therefore, The width of the rectangle = 3 cm
[tex]\qquad\qquad \qquad\huge \dag \normalsize\sf\boxed{\underline{ǤríʍɌεαƿєr}} \: \huge \dag[/tex]
╭─━━━━━─╯Thanks╰─━━━━━─╮
What is the coefficient in the expression 8−x/7
Answer:
8
Step-by-step explanation:
Answer:
1/7
Step-by-step explanation:
Vince has 19 cupcakes. He divides them evenly among 7 friends. How many cupcakes does
each friend get?
Answer:
Explain:
Pls help my teacher said to also turn it into a fraction something like that
Answer:
1
Step-by-step explanation:
You find a number that divides 7 to equal 19.
[tex]\tt \dfrac{19}{7}=2\dfrac{5}{7}[/tex]
A recipe calls for 375 g of flour for every 50 g of sugar. How much flour would you need if you used 125 g of sugar?
Answer:
Let's order the units because it can help us better;
Flour 375g x_______ _______ = ________ , next we solve for x;
Sugar 125g 50g375/125 = x/50
x = 150
Which of the following graphs represent a function?
Answer:
do u have a picture of it ?
Answer:
No graphs are visible to choose from...
Step-by-step explanation:
Given the sequence, 3, -9,27,-81 ...
What is the 15th term, assuming the pattern continues
Fist : 3
then
second : x (-3) = - 9
third : x (-3) = 27
x (-3) = - 81
the 15 term ?
first one = 3 x (-3)⁰
second one = 3 x (-3)¹
third one = 3 x (-3)²
so n one = 3 x (-3)ⁿ⁻¹
then the 15th one = 3 x (-3)¹⁴
I don’t have time to figure these one out for my own please help
Answer:
X=6
Step-by-step explanation:
5x+1=31
-1 from each side
5x=30
divide both sides by 5
x=6
m∠ ( 5x + 1 )° will be equal to m∠31° because they both are vertically opposite angles.
Which means :-
[tex]5x + 1 = 31[/tex]
[tex]5x = 31 - 1[/tex]
[tex]5x = 30[/tex]
[tex]x = \frac{30}{5} [/tex]
[tex]\color{red}x = 6[/tex]
Therefore , m∠ ( 5x + 1 )° = 31° and the value of x = 6 .
2. In square MISA, the diagonals intersect at point P. If m_MPA
= (2s + 3t)º, MZISP = (4r + s)° and m_MIS = (3s – 2t)º, find
the values of r, s, and t.
The diagonal of the square MISA bisect the angle at the vertices
The values of r, s and t are r = 2.6, s = 34.6 and t = 6.9
How to determine the values of r, s and t?The given parameters are:
MPA = (2s + 3t)º
ISP = (4r + s)°
MIS = (3s – 2t)º
The angle between the diagonal of a square is 90 degrees.
So, we have:
2s + 3t = 90
Multiply by 2
4s + 6t = 180
The angle at the vertices of the square is 90 degrees.
So, we have:
3s - 2t = 90
Multiply by 3
9s - 6t = 270
The diagonal bisect the angle at the vertex.
So, we have:
4r + s = 45
Rewrite the equations
4s + 6t = 180
9s - 6t = 270
4r + s = 45
Add the first and the second equations
4s + 9s + 6t - 6t = 180 + 270
13s= 450
Divide by 13
s = 34.6
Substitute s= 34.6 in 4r + s = 45 and 3s - 2t = 90
4r + 34.6 = 45
Solve for r
r = 2.6
3 * 34.6 - 2t = 90
Solve for t
t = 6.9
Hence, the values of r, s and t are r = 2.6, s = 34.6 and t = 6.9
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Y+5.6=8.28
So what does y = to ?
Answer:
Y = 2.68
Step-by-step explanation:
Y + 5.6 = 8.28
To find Y, you would need to subtract 5.6 from both sides:
Y + 5.6 - 5.6 = 8.28 - 5.6
So that would simplify to:
Y = 8.28 - 5.6
8.28 - 5.6 = 2.68
So Y = 2.68
Hope this helps :)
Does anyone know?????
Answer:
90 degrees, and 180 degrees
Step-by-step explanation:
it flips, turns a little so 90 and 180 degrees
help me plz idk why im very bad at mmath
Answer:
16.8
Step-by-step explanation:
Hope this helps
7 is what percent of 68
Answer:
10.30%
Step-by-step explanation:
7/68
x 100% = 10.2941176471%
Antwaun wants to purchase new photography equipment. He sees an advertisement on a store's website for a 35% sale on 85mm lenses this weekend . If the original price of the lens he wanted is $599, what is the new price of the lens once it goes on sale ?
The new price of the lens once it goes on sale is $389.35.
Given that,
He sees an advertisement on a store's website for a 35% sale on 85mm lenses this weekendcalculation:[tex]= \$599 - (35\% of \$599)\\\\[/tex]
= $389.35
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Find the equation of a line that has the same slope as y = 6 - 2x and the same y-intercept as y= "-10x" – 4.
Search instead for Find the equation of a line that has the same slope as y = 6 - 2x and the same y-intercept as y= -10x – 4.
Answer:
y = - 2x - 4
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 6 - 2x = - 2x + 6 ← is in slope- intercept form
with slope m = - 2
y = - 10x - 4 ← is in slope- intercept form
eith y- intercept c = - 4
then
y = - 2x - 4 ← is the equation of the required line
Step-by-step explanation:
slope of y=6-2x=> -2 as it is in the form (y=mx+c )
y intercept of y=-10x-4=-4(as it in the form y=mx+c ,c is intercept made by y-axis)
so equation of line having-4 as y intercept and slope as -2 will be given by (intercept slope form):
that is y=mx+c
=> y= -2x-4=> 2x+y+4=0 is equation of required line
BRAINLY AND POINTS
PLEASE HELP
Answer:
Further from
Step-by-step explanation:
GOOD LUCK