9514 1404 393
Answer:
106.6 cm²
Step-by-step explanation:
The area of a triangle is given by the formula ...
A = 1/2bh
A = 1/2(16.4 cm)(13 cm) = 106.6 cm²
The area of the triangle is 106.6 square centimeters.
1. x2 + 9x + 20
2. x2 + 7x + 12
3. x2 + 8x + 15
4. x2 + 7x + 12
5. x2 + 11x + 10
6. x2 + 7x + 6
7. x2 + 5x + 4
8. x2 + 10x + 21
9. x2 + 10x + 16
10. x2 + 10x + 9
11. x2 + 12x + 20
12. x2 + 15x + 14
13. x2 + 13x + 42
14. x2 + 9x + 18
15. x2 + 16x + 60
Answer:
1) (x+5)(x+4)
Step-by-step explanation:
A person is designing a new rectangular garden. Its area must be 344 square feet. List the length and width, in feet, of all the possible gardens with this area. Use whole-number dimensions. Which garden has the least perimeter?
Answer:
(1 x 344) ft
(344 x 1) ft
(2 x 172) ft
(172 x 1) ft
(4 x 86) ft
(86 x 4) ft
(8 x 43) ft
(43 x 8) ft
the garden with the least perimeter is the garden with dimensions 8 x 43
Step-by-step explanation:
area of a rectangle = length x width
given the area, we can determine the dimensions of the rectangle by calculating the factors of 344. the factors are then multiplied to determine the area
factors of a number are numbers that divide the original number evenly. they are numbers that when used to divide another number, we derive only only numbers
Factors of 344 = 1, 2,2,2,43 and 344
Possible dimensions and their areas
1 x 344 = =344 ft²
2 x 172 = 344 ft²
4 x 86 = 344 ft²
8 x 43 = 344 ft²
Perimeter of a rectangle = 2 x (length + width)
i would use the dimensions i calculated to determine all the possible perimeters
2 x ( 1 + 344) = 690 ft
2 x (2 + 172) = 348 ft
2 x (4 + 86) = 180 ft
2 x (8 + 43) = 102 ft
the garden with the least perimeter is the garden with dimensions 8 x 43
The product of two positive integers us 2005. F neither integer is 1, what is the sum of the two integers?
Answer:
406
Step-by-step explanation:
Given: product of two positive integers us 2005.
Let the two positive integers be a and b
Now prime factorization of 2005 = 401×5
where both 401 and 5 are prime number and non of them is 1.
So, and b will be 401 and 5 respectively.
Therefore, sum of the two integers a+b = 401+5 = 406
Whats the measure of angle M in the figure below
Answer:
73
Step-by-step explanation:
180-(39+68)
180-(107)
=73
M=73
Answer: 73 degree
Step-by-step explanation:
Every triangle the measurment
of the whole trinagle is 180 degree. So 180-39-68=73
So the measurment for angle M is 73 degree.
Helpppp plssssss: ))))
Answer:
C
Step-by-step explanation:
Since its a filled in circle it also includes people that are 48 inches tall to ride.
what is 5x – 9 + 2x – 4 = 9.4
Answer:
3.2
Step-by-step explanation:
7x -13 = 9.4
7x = 22.4
PLSSSSS HELP!!!!!!!!!
Answer:
x=30º
∠CAB=60°
∠ACB=80°
Step-by-step explanation:
Because the angles of every triangle add up to 180º, we know that:
[tex]2x+20+2x=180-40\\ 4x=180-40-20\\ 4x=180-60\\ 4x=120\\ x=\frac{120}{4}[/tex]
x=30º
Plug that in for x on both angles, and you will get
∠CAB=60°
∠ACB=80°
I NEED HELP WITH THIS MATH PROBLEM
Answer:
Step-by-step explanation:
9.8 divided by 100
Answer 0.098 km/liter
Suppouse you bought something that was priced at $6.95, and after sales tax the total bill was $7.61. What is the sale tax rate in the city?
Answer:
11% or 10.5%
Step-by-step explanation:
Stephany is inviting 3 friends to a party. If each friend will get 7 cookies and each box has 10 cookies, how many boxes does Stephany need to get?
Answer:
3 boxex hope that helps. yea. thats the answer
What is the measure of the given angle in degrees? A=pi/3
Answer:
A = pi/3 = 1.05°
Step-by-step explanation:
Hello Kitty has created a new system of conversion for the residents of Kitty Nation. The standard for measurement of length in Kitty Nation is that 8 lenthii = 30 inches and 4 gianthii = 478.8 lenthii. If a design to be sent to Kitty Nation is 294.3 feet long, how many gianthii long will it be? (Include units)
Answer:
yvcwඨ්ය්වුය්tubcccccccccccccuuuuuu,,,v ttttttttrhhhhhhhhh
The table shows the relationship y = kx.
what is the constant of proportionality, k?
A. 1/5
B. 3/5
C. 5/3
D. 1/3
Sammie cuts a piece of ribbon that is 2 feet long.
She needs only 18 inches of ribbon.
How much extra ribbon did she cut?
Answer:
the answer is 6 extra inches
Step-by-step explanation:
im assuming she cut off 2 feet of ribbon which is also known as 24 inches so the you just do 24 - 18 = 6
Determine whether the point (2, 0) is a solution to the system of equations. Explain
your reasoning in complete sentences.
Answer:
(2,0) IS NOT a solution to the system of equations because at that point the lines do not intersect. At (2,0) there's not even a line
Step-by-step explanation:
Which of the following statements are true about the given rational equation? Check all of the boxes that apply. 4 x + 6 + 1 x2 = x + 10 x3 + 6x2 x = 1 is a solution. x = 0 is an extraneous solution. x = –1 is a solution. x = –6 is an extraneous solution.
Answer:
A and C
Step-by-step explanation: Edge 2021
The statements which are true about the given rational equation is:
A. 4 x + 6 + 1 x2 = x + 10 x3 + 6x2 x = 1 is a solutionC. x = –1 is a solution.Rational EquationsThis refers to an equation which has fractions which contains polynomials and can be solved by reducing the fractions to solve the inequality.
With this in mind, we can see that options A and C are both solutions to a rational equation because of their equality of their solutions.
Read more about rational equation here:
https://brainly.com/question/714279
a loan of $10,000 was granted for 9 year at 8 percent simple interest .what is the amount of simple interest owed
Answer:
7200
Step-by-step explanation:
principle=10000
time=9
rate=8%
now
simple interesr=p*t*r/100
= 10000*9*8/100
=7200
Help please I need it
Answer:
okk
Step-by-step explanation:
Answer:
11.401754251
Step-by-step explanation:
I used the Pythagorean theorem to solve. 9 * 9 + 7 * 7 = 130 and the square unit of 130 is 11.401754251 but you should be fine by putting 11.4.
sorry if I'm wrong:(
If x = 2, y = 3 and z = 4, calculate the value of each of the following algebraic expression: 3x + 3y =
The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?
A) 14/13
B) 25/7
C) 4
Answer:
C) 4Step-by-step explanation:
The nth term of arithmetic sequence is [tex]a_n=a_1+d(n-1)[/tex]
So:
[tex]a_{15}=a_1+d(15-1)\\\\53=-3+14d\\\\56=14d\\\\d=\dfrac{56}{14}=4[/tex]
A deli is offering two specials. The roast beef special gives a profit of $2.30 per sandwich, and the turkey special gives a profit of $3.10 per sandwich. The roast beef special uses two slices of bread and three slices of cheese. The turkey special uses two slices of bread and four slices of cheese. The deli has 120 slices of bread and 160 slices of cheese available for the specials. The deli wants to maximize its profit selling specials. Let x represent the number of roast beef specials and y represent the number of turkey specials. What are the constraints for the problem?
Answer:
The constraints are as follows;
1) 2·x + 2·y ≤ 120
2) 3·x + 4·y ≤ 160
3) x = 2.30
4) y = 3.10
5) P = 2.3·x + 3.10
Step-by-step explanation:
The question is a word problem, with the analysis as follows;
The profit from the roast beef special per sandwich = $2.30
The profit from the turkey special per sandwich = $3.10
The number of slices of bread in the roast beef special = Two slices
The number of slices of cheese in the roast beef special = Three slices
The number of slices of bread in the turkey special = Two slices
The number of slices of cheese in the turkey special = Four slices
The number of slices of bread the deli has = 120 slices
The number of slices of cheese the deli has = 160 slices
Let 'x' and represent the number of roast beef special and 'y' represent the number of turkey special the deli makes, then we have the constraints as follows;
For the number of slices of bread used;
2·x + 2·y ≤ 120...(1)
For the number of slices of cheese used;
3·x + 4·y ≤ 160...(2)
x = 2.30
y = 3.10
The profit 'P' is given by the following equation
P = 2.3·x + 3.10.
Answer:
its a
Step-by-step explanation:
trust
Which algebraic expression is equivalent to the expression below?
A.24x +30
B.6x- 1
C.6x-9
D.24x -30 6(4x - 5)
Answer:
Step-by-step explanation:
4 What is the slope of the line represented by the
table of values below?
Answer:
(c) or 10 is the answer
Step-by-step explanation:
In order to find slope you have to follow the formula
(y2-y1) / (x2-x1)
That would give you the slope which in this case is 10.
1) Which of the numbers is NOT rational?
A) - 5
B)
- - - 중
733
D) 6.3
I need help with this i don’t understand this
Answer:
13.<CAF = 145
14.<ABC = 50
15.<KCJ = 95
16.<ABG = 130
17.<BCJ = 85
18.<CAB = 35
19.<x =60
20.<y =120
21.<z = 133
22.<w = 47
23.<m = 128
24.<p = 52
Step-by-step explanation:
It just looking at the vertically opposite angle to find the exact angle.
Ex. <CAF = <BAD
The amount of medication in a patient's bloodstream decreases exponentially from the time the medication is administered. A patient is administered a 300 mg dose of medication that decreases by 25% in the bloodstream each hour. Which function models this situation?
solve for x
[tex]\frac{1}{x-7}[/tex] =4
Answer:
x = 7.25
[tex]x = 7\frac{1}{4}[/tex]
[tex]x = \frac{29}{1}[/tex]
[tex]\frac{1}{7.25 - 7} = 4[/tex]
draw the grid of 3y- 4x=12
A number cube is rolled twice. What is the P (2 and then odd number)?
Answer:
P (2 and then odd number) = [tex]\frac{1}{12}[/tex]
Step-by-step explanation:
Probability refers to chances of occurrence of any event.
A number cube is rolled twice.
Possible outcomes are as follows:
[tex](1,1),(1,2),(1,3),(1,4),(1,5),(1,6)[/tex]
[tex](2,1),(2,2),(2,3),(2,4),(2,5),(2,6)[/tex]
[tex](3,1),(3,2),(3,3),(3,4),(3,5),(3,6)[/tex]
[tex](4,1),(4,2),(4,3),(4,4),(4,5),(4,6)[/tex]
[tex](5,1),(5,2),(5,3),(5,4),(5,5),(5,6)[/tex]
[tex](6,1),(6,2),(6,3),(6,4),(6,5),(6,6)[/tex]
Total number of outcomes = 36
Favorable outcomes include outcomes with 2 and then odd number.
So,
Favorable outcomes are [tex](2,1),(2,3),(2,5)[/tex]
Number of favorable outcomes = 3
Probability is equal to number of favorable outcomes divided by total number of outcomes.
Therefore,
P (2 and then odd number) = Number of favorable outcomes ÷ Total number of outcomes
[tex]=\frac{3}{36}[/tex]
[tex]=\frac{1}{12}[/tex]
Jamal and his family went to their favorite restaurant
for dinner. The cost of the dinner was $86.90. The
family used a $15.00 off coupon, which discounted from
the total cost of the dinner. Jamal left the waiter an
18% tip of the discounted bill. How much did the family
pay for dinner, including discount and tip?
