36. GEOMETRY Write an algebraic expression to
represent the area of the triangle. Then evaluate it to
find the area when h = 12 inches.
Answers
Answer:
108 in²
Step-by-step explanation:
Area of a triangle is given as ½*base*height
The base of the given triangle = h + 6
height = h
Algebraic expression for its area = [tex] \frac{1}{2}*(h + 6)*h = \frac{1}{2}(h^2 + 6h) = \frac{h^2 + 6h}{2} [/tex]
Evaluate the area if h is given as 12 inches.
Plug in the value of h into the algebraic expression:
[tex] \frac{h^2 + 6h}{2} = \frac{12^2 + 6(12)}{2} [/tex]
[tex] = \frac{144 + 72}{2} [/tex]
[tex] = \frac{216}{2} = 108 in^2 [/tex]
Related Questions
Write an absolute value expression to represent the distance between -2 and 4 on an number line. Then evaluate the expression.
Answers
Answer:
|-2| + |4|
= 6
Step-by-step explanation:
The absolute value is the distance from zero on the number line, so you would use the expression above to get the answer, 6
Hope this helps!
Solve the equation using the Properties of Equality.
Answers
Answer:
m = 11/36
Step-by-step explanation:
6/7 m - 1/7 = 5/ 42
Multiply each side by 42 to clear the fractions
42(6/7 m - 1/7) = 5/ 42 *42
36m - 6 = 5
Add 6 to each side
36m -6+6 = 5+6
36m = 11
Divide each side by 36
36m/36 = 11/36
m= 11/36
Evaluate the expression for y=17
y+15=
Answers
Answer: 32
Step-by-step explanation:
y = 17
and you are give the expression y + 15
so substitute the value of y into the expression and add them
17 + 15 = 32
Simplify 7(x + 3).
7x + 3
7x + 21
Ox+ 21
07x + 10
Answers
Answer:
The answer is 7x+21
Step-by-step explanation:
You just multiply 7 by both x and 3 but keep them separate
A gallon of gasoline costs$2.29. Your care has a 25-gallon has tank. Find the cost of the filling if your tank is already 3/8 full. PLEASE HELP ME
Answers
Answer:
$35,78125
Step-by-step explanation:
8/8 - 3/8 = 5/8
25*5/8 = 15.625
15.625*2.29 = 35.78125
What is the 7th term of this sequence? 5,15,45,135
Answers
Answer:
The 7th term of the geometric sequence 5, 15, 45, 135... is 3,645. a7 = 5 • 3^(7-1); a7 = 5 • 729; a7 = 3645
Step-by-step explanation:
sorry if it becomes wrong answer
Answer:
3645Step-by-step explanation:
the sequence has a rule of n*3
5*3=15
15*3=45
45*3=135
135*3=405
405*3=1215
1215*3=3645
A submarine is cruising at 25m below sea level. It descends 15m. What is the new depth?
Answers
Answer:
40m below sea level
Step-by-step explanation:
25m+15=40
Answer:
40 m below sea level
im assuming 25m+15m because the submarines decending
A Inertia Does the diagram below represent 18 Balanced or Unbalanced forces? 75 N 50 N 25 N
Answers
5Answer: It depends on which way the inertia is going. Adding the numbers/newtons aren't hard at all, ust add 75+50+25 which would give you 150N
Step-by-step explanation:
Identify the graph of y = 0.75x^2 -5 and identify the vertex and axis of symmetry
Answers
Answer:
The top right one
Step-by-step explanation:
If you plug a 0 in for x the answer is negative, so that's where the point of the V needs to be.
Someone help me please
A school is planning a fundraiser for a trip to
Washington D.C. The students plan to sell
pencils with the school logo for $1.50 each.
They compare three online companies that sell
personalized pencils in bulk. Which company
should they choose? How much profit will they
make on each pencil?
Click on each company to reveal the unit price.
Company A: 100 pencils for $44.00
Company B: 150 pencils for $60.00
Company C: 200 pencils for $76.00
Answers
16 of the 22 students in Mrs. Burnham's class passed a quiz. About what part of the students passed the quiz?
Answers
Answer: about 3/4
Step-by-step explanation:
Either guess it by looking at the two numbers, or do it mathematically:
( 100 / 22 ) x 16 = 72%
72% is about 75% or 3/4
What is the 5th term in the following sequence:
2, 5, 11, 23...
Helpppp
Answers
Answer:The first few Thabit numbers are: 2, 5, 11, 23, 47, 95, 191, 383, 767, 1535, 3071, 6143, 12287, 24575, 49151, 98303, 196607, 393215, 786431, 1572863, ...
...
Thabit number.
Named after Thābit ibn Qurra
First terms 2, 5, 11, 23, 47, 191, 383, 6143, 786431
Largest known term 3×211,895,718 − 1
OEIS index A007505
Step-by-step explanation:
Please answer the question in the photo!
Answers
Answer:
I cant see the photo
Step-by-step explanation:
but the answer is 1
is it true if a number contains decimal places, then it’s an integer?
Answers
Answer:The integers are ..., -4, -3, -2, -1, 0, 1, 2, 3, 4, ... -- all the whole numbers and their opposites (the positive whole numbers, the negative whole numbers, and zero). Fractions and decimals are not integers. ... For example, -5 is an integer but not a whole number or a natural number.
Step-by-step explanation:
Help please! Any help is appreciated
Answers
Answer:
Wassup
Step-by-step explanation:
Wut do u need help on .o.
Given the function : f(x) = -3x + 2, what is f (2)?
Answers
Answer:
-4
Step-by-step explanation:
f(2)=-3x+2
1/3(2x-8) =4
A. 2
B. 6
C.10
D. 10/3
Answers
Answer:
x = 10
Step-by-step explanation:
1/3(2x-8) =4
Multiply each side by 2
3*1/3(2x-8) =4*3
2x-8 = 12
Add 8 to each side
2x = 12+8
2x= 20
Divide by 4
2x/2 =20/2
x= 10
Answer:
x=10
Step-by-step explanation:
2x-8=12
2x=12+8
2x=20 divide by 2
x=10
2(x^2-7)+8=40 just answer pls
Answers
Answer:
x = +- sqrt 23
Step-by-step explanation:
positive and negative square root of 23.
Answer:
x=√ 23 and x=-√ 23
Step-by-step explanation:
2(x^2-7)+8=40
2x^2-6=40
2x^2=46
x^2=23
x=√ 23
x=-√23
PLEASE HELP ME! AND THANK YOU!
Answers
Answer:
Real Numbers, Rational Numbers, Integers
Step-by-step explanation:
What's (2×2)÷2=???????????????????????
Answers
Answer:
2
Step-by-step explanation:
2×2=4
4÷2=2
Answer:
2
Step-by-step explanation:
2 x 2 = 4
4 / 2 = 2
the answer is 2
A zoo is creating a new fenced living area for its tortoises. The zookeeper estimates that they will need a space that is about 40 feet by 50 feet to accommodate the animals. Which type of formula should the zoo use to determine how much fencing they will need to construct the pen? a.) Volume b.) Perimeter c.) Profit d.) Area
Answers
Answer:
I'd use perimeter. Will determine how much feet of materials will be needed.
Answer:
Perimeter
Step-by-step explanation:
You're finding the distance around a two-dimensional shape.
At the beginning of the day the stock market goes down 50 1/2 points and stays at this level for most of the day. At the end of the day the stock market goes up 80 1/4 points from the low at the beginning of the day. What is the total change in the stock market from the beginning of the day to the end of the day?
Answers
Answer:
The change for the day is 29 3/4Step-by-step explanation:
In this problem, we are expected to calculate the change in the price of a particular stock
Given that the days high is 80 1/4
and also that the days low is 50 1/2
we can calculate the change by subtracting the days low from the days high
i.e 80 1/4- 50 1/2= 321/4-101/2= (321-202)/4= 119/4 = 29 3/4
hence the change for the day is 29 3/4
Also we can calculate the percentage change as
%change = (high-low)/low*100
%change= 80 1/4- 50 1/2/50 1/2= 29 3/4/50 1/2 *100
%change= 119/4*2/101 *100= 119/202*100= 0.589*100= 58.9%
%change= 58.9%
Write the equation of a line with a slope of -2 and a y-intercept of 5. (2 points)
Answers
Answer:
-2x+y=5
Step-by-step explanation:
I got this answer on Desmos Graphing Calculator.
the other ones don't make sense with what you were asking for. sorry if this isn't adequate.
What is the range of the function? HELP!!
Answers
Each expression with the appropiate property:
Answers
Answer:
It is the Commutative property.
Step-by-step explanation: The word commutative comes from the word "move around" in this case all the numbers did was switch positions. Another example; 2+3=3+2 that is commutative property because the numbers were moved. Much similar to your problem
Samantha has $48 to spend on used video games. Single player games cost $6 each and multi player games cost $12 each. What equation, in standard form, determines the number of single player games (x) and the number of multi player games (y) Samantha can buy?
Answers
Answer:
The equation is
6x + 12y = 48
Step-by-step explanation:
Standard form another way of writing a linear equation. It is in the form
Ax + By = C
Total amount with Samantha = $48
Single player games = $6 each
Multi player games = $12 each
Let
Number of Single player games = x
Number of Multi player games = y
The number of single player games (x) and the number of multi player games (y) Samantha can buy is
6x + 12y = 48
That is price × quantity of single player games + price × quantity of multi player games = Total amount with Samantha
A security guard uses 20 minutes of every hour to walk outside the school, leaving the remaining
40 minutes for monitoring inside the school. Write the ratio that represents the time the
security guard spends outside to the time spent inside.
Answers
Answer:
40/20, 40:20, 40 to 20
Step-by-step explanation:
20min/1hr
40min/1hr
Question order asks ratio from outside time to inside time so the 40 would come first. also, all the above are correct. You can write a ratio as a fraction, with a colon, or with the word to.
A trail map has a scale of 3 inches to 2 miles. On the map, a trail is
5 1/4 inches long.
How long is the actual trail?
A. 1 and 3/4 miles
B. 2 and 5/8 miles
C. 3 and 1/2 miles
D. 7 and 7/8 miles
Answers
Answer:
it is not c. that is what I know
Step-by-step explanation:
The length of the actual trail will be 3 and 1/2 miles. The correct option is C.
The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that a trail map has a scale of 3 inches to 2 miles. The length of the actual trail will be calculated as:-
3 inches = 2 miles
1 inch = 2 / 3 miles
5¹/₂ inches = 5¹/₂ x ( 2 / 3 )miles
5¹/₂ inches = 5.2 x ( 2 / 3 )
5¹/₂ inches = 3.5 miles = ( 2¹/₂) miles
Therefore, the length of the actual trail will be 3 and 1/2 miles. The correct option is C.
To know more about an expression follow
https://brainly.com/question/10724285
#SPJ2
After taxes, Alexandra's take home pay is 7 10 of her salary before taxes. Enter and solve an equation to find Alexandra's salary before taxes for the pay period that resulted in $378 of take-home pay. Let s represent your variable.
Answers
Answer:
$540
Step-by-step explanation:
Let s be Alexandria's salary before taxes.
Let t be her take-home after taxes = $378
The question says her take-home is 7/10 of her salary before taxes
So to calculate what her salary was before taxes:
s x (7/10) = $378
We divide both sides by 7/10
S = 378 ÷ 7/10
S = 378x10/7
S = 3780/7
S = 540
Therefore from the calculations above, her salary before taxes was $540
[tex]2(x + 7) + 10[/tex]
A. Two times the sum of x and seven plus ten
B. Two times the difference of x and seven plus ten
C. Two times x minus seven plus ten
D. Two times x plus the sum of seven and ten
Answers
Answer:
2(x+7)+10
A. Two times the sum of x and seven plus ten
B. Two times the difference of x and seven plus ten
C. Two times x minus seven plus ten
D. Two times x plus the sum of seven and ten ✓
[tex] \huge \purple {\tt {2(x + 7) + 10}} [/tex]
A. Two times the sum of x and seven plus ten
B. Two times the difference of x and seven plus ten
C. Two times x minus seven plus ten
D. Two times x plus the sum of seven and ten✓✓✓