Answer:
a) 94.2 cm
b) 78.5%
Step-by-step explanation:
a) since the square side = 30 cm
it means the diameter = 30 cm
then circumference of the largest circle that can be cut = 3.14×30 = 94.2 cm
b) the perimeter of the square = 30×4 = 120
94.2 for 120
x% for 100%
x = (100×94.2)/120 = 9420/120 = 942/12 = 78.5%
3.What is 25% written as a decimal? (Hint: Don't forget to take away the "%" sign or it will be marked wrong.)
Answer:
0.25
Step-by-step explanation:
Answer:0.25
25% = 25 / 100
= 0.25
If you help me u are the best ;)
Answer:
Area = (8 + 2x)² mi²
Step-by-step explanation:
Length of the side of a park = 8 mi
Width of the road around the park = x mi
Length of one side of the park with the road = (8 + 2x) mi
Area of the park with road = (side)²
= (8 + 2x)²
Therefore, combined area of the park and road is (8 + 2x)² square miles.
Nichole's rotating sprinkler waters her lawn up to a radius of 7 feet. What is the maximum number of square feet of lawn Nichole can expect the sprinkler to cover?
Answer:
153.9 ft²
Step-by-step explanation:
Given that:
Radius of circular lawn = 7 feets
To obtain the maximum number of square feet of lawn Nichole can expect the sprinkler to cover ; find the area of the lawn
Area of a circle, A = πr²
A = π * 7 * 7
A = 153.93804
A = 153.9 ft²
diagonals do not meet each other at right angles in a square true or false
False like a trapizoid they will touch sides a square wont but diagonal will square will I smart respectt
me
Determine whether this situation represents independent or dependent events. "Three green jelly bean, five red jelly beans and two orange jelly bean are in a bag. What is the probability of selecting an orange jelly bean, putting it back, and then selecting a green jelly bean?" Question 1 options: Independent Events Dependent Events
Answer:
Independent Events
Step-by-step explanation:
Given
[tex]Green = 3\\ Orange = 2\\ Red = 5[/tex]
Required
Dependent or independent event
The probability of selecting a green jelly remains unchanged before and after selecting the first orange jelly.
Before selecting the orange jelly:
[tex]P(Green) = \frac{Green}{Total}[/tex]
[tex]P(Green) = \frac{3}{10}[/tex]
After selecting the orange jelly:
[tex]P(Green) = \frac{Green}{Total}[/tex]
[tex]P(Green) = \frac{3}{10}[/tex]
Because the probabilities remain unchanged, the selection of a green jelly is independent of the selection of the first orange jelly.
Find the value of x that makes m\\n
Answer:
60
Step-by-step explanation:
m and n are parallel the 3x=180
180/3=60
Find the measure of each angle in the isosceles trapezoid.
(I found one already)
Answer:
∠A = 116°
∠B = 116°
∠C = 64°
Step-by-step explanation:
since it is an isosceles trapezoid, ∠C = ∠D = 64°
∠A would be same side interior to ∠D so it would be 180° - 64° = 116°
∠B = ∠A = 116°
The measure of each angle in the isosceles trapezoid are; ∠A = 116°
∠B = 116° and ∠C = 64°
What is isosceles trapezoid?Due to the figure being isosceles trapezoid, it is symmetric.
Isosceles trapezoid has its two rest sides(which aren't necessary parallel) are of equal length.
Since it is an isosceles trapezoid, ∠C = ∠D = 64°
Here we can use the symmetric property of the isosceles trapezoid and the fact that a triangle has sum of its angles as 180°
We have ∠A that would be same side interior to ∠D
Thus, it would be 180° - 64° = 116°
∠B = ∠A = 116°
Learn more about isosceles trapezoid here:
brainly.com/question/4084820
#SPJ2
PLEASE HELP I WILL MARK YOU BRAINLIEST determine the exact and approximat solutions for 4(x + 5)^2 = 21 show your steps
Answer:
x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21
Step-by-step explanation:
Let's solve your equation step-by-step.
4(x+5)^2=21
Step 1: Simplify both sides of the equation.
4x^2+40x+100=21
Step 2: Subtract 21 from both sides.
4x^2+40x+100−21 =21−21 4x^2+40x+79=0
For this equation: a=4, b=40, c=79
4x^2+40x+79=0
Step 3: Use quadratic formula with a=4, b=40, c=79.
x= −b±√ b^2−4ac/2ax
= −(40)+√ (40)^2−4(4)(79)/2(4)
x = 40^2±√ 336/8
x= −5+1/2 √ 21 or x = −5+ − 1/2√ 21
Answer: x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21
( I hope this was helpful) >;D
Type the missing number in this sequence: 1, 2, 4, 8,
Answer:
16
Explanation:
what comes next is 16
for the function: y=2^x
Solve a-3=13
What is Z
Answer:
a = 16 hope this helps
Step-by-step explanation:
Find the value of each variable. All figures are parallelograms.
PLS HELP!
Alexis has a rectangular backyard that is 50 yards by 55 yards. She wants to build a
fence that stretches diagonally from one corner to the opposite corner. About how
many yards of fencing will Alexis need? Round to the nearest tenth.
Given:
Alexis has a rectangular backyard that is 50 yards by 55 yards.
She wants to build a fence that stretches diagonally from one corner to the opposite corner.
To find:
The length of the fencing she needs.
Solution:
We have,
Length = 50 yards
Width = 55 yards
We know that, the diagonal of a rectangle is
[tex]Diagonal=\sqrt{length^2+width^2}[/tex]
[tex]Diagonal=\sqrt{(50)^2+(55)^2}[/tex]
[tex]Diagonal=\sqrt{2500+3025}[/tex]
[tex]Diagonal=\sqrt{5525 }[/tex]
On further simplification, we get
[tex]Diagonal=74.3303437[/tex]
[tex]Diagonal\approx 74.3[/tex]
Therefore, the length of the required fencing is 74.3 yards.
One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large bubble. Each small bubble has a radius of 5 centimeters. What is the radius of the large bubble?
Answer:
R = 10 cm
Step-by-step explanation:
The area of a spherical shape is given by :
[tex]A=4\pi r^2[/tex]
Where
r is the radius of the sphere
ATQ,
One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large bubble.
The radius of each small bubble is 5 cm
Using the given condition,
[tex]4\pi R^2=4\times (4\pi r^2)\\\\R^2=4r^2\\\\R=\sqrt{4r^2} \\\\R=2r\\\\R=2\times 5\\\\R=10\ cm[/tex]
So, the radius of the large bubble is equal to 10 cm.
Answer:
20cm
Step-by-step explanation:
5cm+5cm+5cm+5cm=20cm
3/5(a + 5.25) = 7.35 What does a equal
Answer:
a = 7
Step-by-step explanation:
Let's solve your equation step-by-step.
3/5(a+5.25)=7.35
Step 1: Simplify both sides of the equation.
3/5(a+5.25)=7.35
(3/5)(a)+(35)(5.25)=7.35 (Distribute)
3/5a+3.15=7.35
Step 2: Subtract 3.15 from both sides.
3/5a+3.15−3.15=7.35−3.15
3/5a=21/5
Step 3: Multiply both sides by 5/3.
(5/3)*(3/5a)=(5/3)*(21/5)
a=7
find the x intercept and the y intercept of the graph of the equation 5x+4y=40
Answer:
x intercept is 8, y intercept is 10
Step-by-step explanation:
x intercept is the x value for which the graph crosses the x-axis. Similar for y.
5x + 4y = 40 describes a straight line, so we should have no problem with finding those values
Let's find an x for which y = 0
5x + 4y = 40
substitute y=0
5x = 40
x = 8
Let's find a y for which x = 0
5x + 4y = 40
substitute x=0
4y = 40
y = 10
Kree works for a constant hourly wage of w dollars. Which choice shows the correct relationship between e, Kree's total earnings in a week, and h, the number of hours he worked during the week?
Omar is painting a 24-square-foot wall. The wall is divided into squares that each measure 14 square foot. How many squares is the wall divided into? Enter your answer in the box.
Complete question :
Omar is painting a 24-square-foot wall. The wall is divided into squares that each measure 1/4 square foot. How many squares is the wall divided into?
Answer:
96
Step-by-step explanation:
Given that:
Total area of wall = 24 ft²
Area of each division =. 1/4 ft²
Number of division = x
The number of divisions * area of each division = total area of wall
x * 1/4ft² = 24ft²
Divide both sides by 1/4 ft²
x = 24ft² ÷ 1/4 ft²
x = 24 * 4 /1
x = 96
Hence, wall is divided into 96 squares
If discount rate is 12%, the present value of Rs X recieved at the end of each year for the next five years is equal to
Answer:
Present Value = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]
Step-by-step explanation:
To find - If discount rate is 12%, the present value of Rs X received at the end of each year for the next five years is equal to .... ?
Solution -
We know that, formula for finding the Present vale is given by
Present value = Future value / (1 + r)ⁿ
where r is the rate of interest
and n is Number of periods
Now,
Here in the question, we have
r = 12% = 12/100 = 0.12
n = 5
Also, Given that, we have received Rs X at the end of each year
So,
Present Value = [tex]\frac{X}{(1 + 0.12)^{1} } + \frac{X}{(1 + 0.12)^{2} } + \frac{X}{(1 + 0.12)^{3} } + \frac{X}{(1 + 0.12)^{4} } + \frac{X}{(1 + 0.12)^{5} }[/tex]
= [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]
⇒Present Value = [tex]X [\frac{1}{(1 + 0.12)^{1} } + \frac{1}{(1 + 0.12)^{2} } + \frac{1}{(1 + 0.12)^{3} } + \frac{1}{(1 + 0.12)^{4} } + \frac{1}{(1 + 0.12)^{5} } ][/tex]
Eric and his two sister shared amount of money in ratio2:7 respectively. If Eric had 300.00 and the remaining amount shared equally among the sister.How much did each sister get.
Answer:
The equal amount is 525 .
Step-by-step explanation:
Given that,
Eric and his two sister shared amount of money in ratio2:7 respectively.
Amount with Eric = 300
It means,
2x = 300
x = 150
So,
7x = 7(150)
= 1050
As the remaining amount shared equally among the sister. So, the equal amount is 525 .
0.5+2x < 14.5 whats the answer
Answer:
x < 7
Step-by-step explanation:
0.5 + 2x < 14.5
2x < 14.5 - 0.5
2x < 14
x < 14 ÷ 2
x < 7
( To solve this is basically solving an equation. It's just that that instead of an equal sign, a greater than, less than, greater than or equal to or a less than or equal to sign is present. )
Together Jason and Judy have read 24 mystery novels. Judy has read less than three times as many as Jason. How many mystery novels have each of them read.
Omitted / Incomplete Question : Judy has read 4 Less than three times as many as Jason
Answer:Jason has read 7 mystery novels and Judy has read 17 mystery novels
Step-by-step explanation:
Total number of mystery books read by Jason and Judy =24
Let Number of mystery books read by Jason=x
and Number of mystery books read by Judy= 3x-4
So that the total number of book read by both of them will be expressed as
x +(3x-4) =24
x +3x-4 =24
4x=24+4
4x=28
x=28/4=7
There fore Jason has read 7 mystery novels
and Judy = 3x-4 = 3 X 7- 4 =21-4=17mystery novels
Write an equation for the line shown above:
y = x +
Answer:
the answer is y=4x+3
Step-by-step explanation:
Someone plz help me plz
Answer:
i woyld say 1/3 and 2/5
Step-by-step explanation:
they aer bigger parts then the other
Answer:
if you find both areas and compare them with a common denominator youll see that 8/15 and 1/6 is greater .
what is pi and what is its number
Answer:
pi is an irrational number and its value
is 22/7 in fraction and 3.14 in decimal
and 22/7 is rational number
hope it helps
Answer:
Pi is the ratio of a circle's circumference to its diameter.
The first 10 digits are 3.1415926535
Step-by-step explanation:
I need help ASAP
questions:
1. what is the measure of angle K?
2. What is the measure of angle M?
3. what is the value of "x"?
what's
[tex] \sqrt{56 \times 56} [/tex]
Answer:
That would be 56. :D
Nice drawing sir/ma'am/person. :D
Step-by-step explanation:
how is a corm different from a bulb?
Answer:
Corm and Bulb- Differences. Bulbs are structurally short stems with fleshy leaves or leaf bases. Corms are rounded, underground storage organs consisting of a swollen stem base covered with scale leaves. Bulbs are modified leaves that store nutrients.
Step-by-step explanation:
will give brainliest! please help quick
A can of soup is 12 cm tall and has a radius of 4 cm.
What is the volume of soup that the can will hold?
48π cm³
80π cm³
144π cm³
192π cm³
Answer:
192π cm³
Step-by-step explanation:
First, do π(4^2). Then, multiply that times the height. So, 50.24 x 12 = 602.88. But, the question is asking your answer in terms of π. So, do 4^2 x 12. So, 4^2 x 12, gives you the answer: 192. Now change that to make it in terms of π. So, your answer will be: 192π cm³
Answer:
give other brainliest
Step-by-step explanation:
Find the common
ratio of the geometric sequence 1, -3, 9, -27, 81, ...?
Which student has the greater median test score?
Answer:
amy, since the middle term is further up the graph
Step-by-step explanation:
median is the middle term, amy's middle term is further