Answer:
180Step-by-step explanation:
let P represent the perimeter of the rectangle
P = 2×(12 + 18) = 2×(30) = 60 m
then
the number of shrubs = 3×(60) = 180
I require assistant one final time
Answer:
No, the expressions are NOT equivalent.
Step-by-step explanation:
Solve each:
11t - 4t
(11 × 2) - (4 × 2)
22 - 8
= 14
4t - 11t
(4 × 2) - (11 × 2)
8 - 22
= -14
14 is NOT equivalent to -14
Simplify the expression 54. (1 point)
A. 20
B. 1,024
C. 125
D. 625
To simplify the expression 54, divide it by 2 and 3 to get the simplified result of 9.
Explanation:To simplify the expression 54, you need to consider the properties of the number 54. First, note that 54 is divisible by 2. Next, check if it is also divisible by 3. If it is, continue dividing by 3 until you can no longer do so. In this case, 54 is divisible by both 2 and 3, so you can simplify it as follows:
Divide 54 by 2: 54 ÷ 2 = 27Divide 27 by 3: 27 ÷ 3 = 9Therefore, the simplified expression 54 is equal to 9. So, the correct answer is A. 20.
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A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. How many different combinations of 5 friends could
possibly receive the tickets?
OA 13
OB 40
Oc 56
There are 56 different combinations of 5 friends that can be selected from the group of 8 friends (option C)
To determine the number of different combinations of 5 friends that can be selected from a group of 8 friends, we use the concept of combinations in combinatorial mathematics.
The number of ways to choose [tex]\( k \)[/tex] elements from a set of [tex]\( n \)[/tex] elements is given by the binomial coefficient [tex]\(\binom{n}{k}\)[/tex], which is calculated as:
[tex]\[\binom{n}{k} = \frac{n!}{k!(n-k)!}\][/tex]
In this scenario:
[tex]\( n = 8 \)[/tex] (total number of friends)
[tex]\( k = 5 \)[/tex] (number of tickets available, hence number of friends to be chosen)
We need to calculate [tex]\(\binom{8}{5}\)[/tex]:
[tex]\[\binom{8}{5} = \frac{8!}{5!(8-5)!} = \frac{8!}{5! \cdot 3!}\][/tex]
First, we calculate the factorials involved:
[tex]\( 8! = 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 40320 \)[/tex]
[tex]\( 5! = 5 \times 4 \times 3 \times 2 \times 1 = 120 \)[/tex]
[tex]\( 3! = 3 \times 2 \times 1 = 6 \)[/tex]
Now, substitute these values into the binomial coefficient formula:
[tex]\[\binom{8}{5} = \frac{40320}{120 \times 6} = \frac{40320}{720} = 56\][/tex]
Therefore, there are [tex]\( 56 \)[/tex] different combinations of 5 friends that can be selected from the group of 8 friends.
simlify the the expression using bedmas. 3 over 2 of 9 over 7
Step-by-step explanation:
[tex] (\frac{3}{2} ) \frac{9}{7} = \frac{3}{2} \times \frac{9}{7} = \frac{27}{14} \\ [/tex]
Answer:
it means 3/2 of 9/7
Step-by-step explanation:
those are fractions
the measure of two supplementary angles have a ratio of 5:4 what is the measure of the large angle?
Answer:
100°
Step-by-step explanation:
The larger one is 5/(5+4) = 5/9 of the total, so is ...
5/9 × 180° = 100°
The measure of the larger angle is 100°.
Hey scientist has it the amount of rainfall during the afternoon is around 0.43 minutes and each hour what was the total amount of rain fall in three hours
Answer:
1.29 minutes
Step-by-step explanation:
The scientist has a record of the amount of rainfall during the afternoon as around 0.43 minutes in each hours.
Now, we have to calculate the total amount of rainfall in three hours.
As the each hour rainfall is of 0.43 minutes, so the total rainfall in three hours will be (0.43 × 3) = 1.29 minutes. (Answer)
i am after 70 i am before 90 you say me when count by tens. what number am i?
80
The question implies that you're counting by tens & the number comes after 70 and before 90. This is the only number that fits this description.
Using logical concept, the value of the number in question will be 80.
Let the number be n ;
Value before, n = 70Value after, n = 90Difference between n and the preceeding and succeeding values is 10Hence, we have ;
70, n, 90
n - 70 = 10 - - (1)
90 - n = 10 - - - (2)
Using either of the two expressions, we can obtain the value of n :
n - 70 = 10
n = 10 + 70
n = 80
Hence, the number is 80
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What is equivalent to 4.825+7/20
Answer:
5.175
Step-by-step explanation:
Answer:
5.175
Step-by-step explanation:
Seventy people attended a concert. A general admission ticket is $4.75 and a student is $3.25 . If the box office collected $272.50 ,how many general admissions and how many student tickets were sold.
Answer:
Step-by-step explanation:
Let g = amount of general admission tickets
Let s = amount of student tickets
Since seventy people attended the concert, this includes the people who bought general admission tickets and the people who bought the student tickets. As a result, g + s = 70. A student ticket is $3.25, so it would be 3.25s and a general admission ticket is $4.75, so it would be 4.75g. Since there was $272.50 collected in all, the second equation would be 3.25s + 4.75g = 272. 50.
g + s = 70
4.75g + 3.25s = 272.50
Multiply the first equation by 3.25 (or 4.75) so that you can use elimination to get rid of one variable.
3.25g + 3.25s = 227.50
4.75g + 3.25s = 272.50
Now, you subtract so that you can eliminate s.
-1.50g = -45
g = 30
This means that there are 30 general admission tickets. Now, you substitute 30 in for g to find s.
30 + s = 75
Subtract 30 from both sides.
s = 45
This means that there are 30 general admission tickets and 45 student tickets.
Choose all the graphs that show a proportional relationship
A, B, C, D
(Multiple choice)
Answer:
A and B
Step-by-step explanation:
A.
The points are (1,2) and (4,8)
(4,8)=4(1,2)
(4,8)∝(1,2)
B.
The points are(1,6)and (3,4)
We don't established any relation between them.
So , there is no relation between them.
C.
The points are (1,6) and (3,4)
We don't established any relation between them.
So , there is no relation between them.
D.
The points are (2,1) and (4,2)
(4,2) = 2(2,1)
(4,2)∝(2,1)
A cylinder has a radius of 14 m and a height of 6 m.
What is the exact volume of the cylinder?
841 m2
1687 m
5047 m
11767 m2
Volume of the cylinder is 3696 m²
Step-by-step explanation:
Step 1: Calculate volume of the cylinder using the formula V = πr²h⇒ V = 22/7 × 14² × 6 = 3696 m²
Write a program that accepts a whole number as Input multiplies that number by 12 the outputs the product
Answer:
Step-by-step explanation:
programs can be written in multiply languages. for this solution I'll be writing in C++.
#include<iostream> // this is called the preprocessor definition
using namespace std;
int main() //the main function
{
int num, product; //declaration of the variables
cout << "enter the whole number";
cin >> num;
product = num * 12;
cout << product; // displaying the final results
return 0;
}
A 13-foot ramp covers 12 feet of ground on the horizontal. How high does it rise?
Answer:
[tex]\large\boxed{\large\boxed{5ft}}[/tex]
Explanation:
A ramp is modeled by a right triangle with hypotenuse equal to the length of the ramp, horizontal leg equal to the ground length(horizontal run), and vertical leg equal to the rise.
Hence, you can use Pythagora's theorem:
[tex](13ft)^2=(12ft)^2+y^2[/tex]
Solve of the y, which represents the rise:
[tex]y^2=(13ft)^2-(12ft)^2=169ft^2-144ft^2=25ft^2\\\\y=5ft[/tex]
Final answer:
Using the Pythagorean theorem with the length of the ramp as the hypotenuse (13 feet) and the horizontal distance covered (12 feet), it is determined that the ramp rises 5 feet high.
Explanation:
To determine how high the ramp rises, we can use the Pythagorean theorem, which states that in a right-angled triangle the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides (adjacent and opposite).
Let's denote:
The length of the ramp (hypotenuse) as c = 13 feetThe horizontal distance covered (adjacent side) as a = 12 feetThe height of the ramp (opposite side) as b, which we want to findUsing the Pythagorean theorem:
a² + b² = c²
Substituting the known values:
12² + b² = 13²
144 + b² = 169
To find b, we subtract 144 from both sides of the equation:
b² = 169 - 144
b² = 25
Taking the square root of both sides gives us the height:
b = √25 = 5 feet
Therefore, the ramp rises 5 feet high.
If the temperature was 45°F at 9am, what was the temperature at 6pm
Answer: 35 F
Step-by-step explanation:
night time
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The correct answer is y=3/2x+4
The longest edge of the sail measured 16 yards and the bottom edge of the sail is 8 yards how y’all is the sail
Answer:
128 yards
Step-by-step explanation:
Final answer:
By applying the Pythagorean theorem to the right-angled triangle sail, with the longest edge being the hypotenuse (16 yards) and the bottom edge as one side (8 yards), the height of the sail is calculated to be approximately 13.856 yards.
Explanation:
To determine how tall the sail is, we can use the Pythagorean theorem if we assume that the sail is a right-angled triangle, which is common in sailboat sails. The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. If we let the longest edge (16 yards) be the hypotenuse (c) and the bottom edge (8 yards) be one of the other sides (a), we can find the height (b) of the sail using the equation:
c² = a² + b²
So,
16² = 8² + b²
256 = 64 + b²
b² = 256 - 64
b² = 192
b = √192
b ≈ 13.856 yards (rounding to three decimal places)
Therefore, the sail is approximately 13.856 yards tall.
A rectangular garden has an area of 52 square yards. If we multiply its length and width by 15, what is the area of the new rectangle?
Answer:
i think its 11,700
Step-by-step explanation:
Answer:
11,700
Step-by-step explanation:
When trying to find the new area, you take you 2 numbers, 52 and 15, square the 15, then multiply them
52 x 15^2 = 11,700
What is 23 % changed into a fraction
Answer:
23/100
Step-by-step explanation:
Any percent is out of 100, so you can just say 23/100. This works for any percentage but you can still simplify it. 23/100 is already in its simplest form so you can not simplify it any more. 23% in decimal form is 0.23.
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Set the two sets of parentheses in the denominator equal to zero and solve for the x’s. These would be the vertical asymptotes
(X+2) = 0
X = -2
(X-1)=0
X =1
The vertical asymptotes are -2 and 1
Find the y-intercept of the line: 5x + 7y +1 = 0
Answer:
Step-by-step explanation:
y−intercept=
−7
1
=−0.14286
If a 45 degree 45 degree 90 degree triangle has a hypotenuse length of 12 find the leg length
Answer:
Leg length = 8.5Step-by-step explanation:
let x represent the leg length
if we use the Pythagorean theorem we get:
x² + x² = 12²
then
2x² = 12²
Then
x² = 144/2 = 72
then
x = √(72)
=8,485281374239
Anna is trying to find the length of segment AC. Which equation could she use? A) AC = 2 + 7 B) AC2 = 42 + 12 C) AC2 = 22 + 72 D) AC2 = 72 − 22
Answer:
its A :)
Step-by-step explanation:
Help. I can’t figure this out.
Answer:
5
Step-by-step explanation:
The median is 5. Cross off the dots on both sides one by one until you reach the center.
given that tan^2 0=3/8, what is the value of sec 0?
The value of [tex]\sec\theta =\pm\sqrt{\frac{11}{8}}[/tex].
Solution:
Given data:
[tex]$\tan^2\theta=\frac{3}{8}[/tex]
To find the value of [tex]\sec\theta:[/tex]
Using trigonometric identity,
[tex]\sec^2\theta=1+\tan^2\theta[/tex]
Substitute [tex]\tan^2\theta=\frac{3}{8}[/tex] in the identity, we get
[tex]$\Rightarrow \sec^2\theta=1+\frac{3}{8}[/tex]
1 can be written as [tex]\frac{1}{1}[/tex].
[tex]$ =\frac{1}{1} +\frac{3}{8}[/tex]
Do cross multiplication.
[tex]$ =\frac{8}{8} +\frac{3}{8}[/tex]
Denominators are same, so you can add the fractions.
[tex]$ =\frac{8+3}{8}[/tex]
[tex]$\Rightarrow \sec^2\theta =\frac{11}{8}[/tex]
Taking square root on both sides, we get
[tex]$\Rightarrow \sec\theta =\pm\sqrt{\frac{11}{8}}[/tex]
Option B is the correct answer.
Hence the value of [tex]\sec\theta =\pm\sqrt{\frac{11}{8}}[/tex].
hi guys I am dumb so can you guys help
Answer:
study more that should help you out
Step-by-step explanation:
study more
Answer:
try to study
Step-by-step explanation:
Write the equation of the line that passes through the given points (0,-3) and (-15,-5)
Answer:
y=2/15x-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-5-(-3))/(-15-0)
m=(-5+3)/-15
m=-2/-15
m=2/15
y-y1=m(x-x1)
y-(-3)=2/15(x-0)
y+3=2/15(x)
y+3=2/15x
y=2/15x-3
Find the missing number:
it is not 10%, or 25%, or 5.5%
let's say the original number is "a".
[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5\% of "a"}}{\left( \cfrac{5}{100} \right)a}\implies \cfrac{5a}{100} \\\\\\ \stackrel{\textit{"a" increased by 5\%}}{a + \cfrac{5a}{100}\implies \cfrac{105a}{100}}~\hfill \stackrel{\textit{5\% of }\frac{105a}{100}}{\left( \cfrac{5}{100} \right)\cfrac{105a}{100}}\implies \cfrac{525a}{10000}\implies \cfrac{21a}{400}[/tex]
[tex]\bf \stackrel{\frac{105a}{100}\textit{ increased by 5\%}}{\cfrac{105a}{100}+\cfrac{21a}{400}}\implies \cfrac{21a}{20}+\cfrac{21a}{400}\implies \cfrac{420a+21a}{400}\implies \cfrac{441a}{400} \\\\\\ 1.1025a\implies 1a+0.1025a\implies \stackrel{\textit{original}}{a} + \stackrel{\textit{10.25\% added}}{\cfrac{10.25}{100}a}[/tex]
A cylinder with a radius of 12cm and a height of 20cm has the same volume as a cone with a radius of 8cm. What is the height of the cone
Answer: 135cm
Step-by-step explanation
Volume of a cylinder = πr²h
Volume of a cone. = 1/3πr²h
The two shapes are both solid shapes.
Since the have same volume, we can then equate the two together and solve for the height of the cone.
Now make H the height and R the radius of the cylinder and h the height and r the radius of the cylinder.
Now equating the two
πR²H = 1/3πr²h
Now substitute for the values now
Multiply through by 3
3πR²H = πr²h
But π is common so it could be obliterated from the equation
3R²H = r²h
3 x 12² x 20 = 8² x h
3 x 144 x 20 = 64 x h
60 x 144 = 64h
8640. = 64h
Therefore
h = 8640/64
= 135cm
what's 5 + 5 × 10 - 88 + 200 - 1
Answer:
=50x+116
Step-by-step explanation:
5+5x(10)−88+200−1
=5+50x+−88+200+−1
Combine Like Terms:
=5+50x+−88+200+−1
=(50x)+(5+−88+200+−1)
=50x+116
Answer:
166
Step-by-step explanation:
remember order of operations
PEMDAS
parentheses ( )
exponents x^2
multiply or divide (from left to right) * /
add or subtract (from left to right) + -
first step multiply 5*10=50
5+50-88+200-1
next 5+50=55
55-88+200-1
next 55-88= -33
-33+200-1
next -33+200= 167
167-1= 166
PLEASE HELP!!! WILL MARK BRAINLIEST AND THANK YOU!!! IM DESPERATE!!!!!
Find the total area of the given figure.
996 sq in
576 sq in
12 sq in
240 sq in
Answer:
996 in²
Step-by-step explanation:
The figure is composed of a square and a triangle.
Using Pythagoras' identity on one of the right triangles within the triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides
let the base of the right triangle be x, then
x² + 35² = 37², that is
x² + 1225 = 1369 ( subtract 1225 from both sides )
x² = 144 ( take the square root of both sides )
x = [tex]\sqrt{144}[/tex] = 12
Thus the base of the upper triangle = 2x = 2 × 12 = 24
Area of upper triangle = 0.5 bh ( b is the base and h the height )
Area = 0.5 × 24 × 35 = 12 × 35 = 420 in²
The length of the side of the square is therefore 24 in
Area = 24 × 24 = 576
Total area = 576 + 420 = 996 in²