Mathematics High School

36. GEOMETRY Write an algebraic expression to
represent the area of the triangle. Then evaluate it to
find the area when h = 12 inches.

36. GEOMETRY Write An Algebraic Expression Torepresent The Area Of The Triangle. Then Evaluate It Tofind

Answers

Answer 1

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

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

Company a:100pencils for $44.00

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

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.

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

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:

What is the range of the function? HELP!!

Answers

i don’t see a funtion. try editing your question so i can answer your question.

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'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

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

Please answer the question in the photo!

Answers

Answer:

I cant see the photo

Step-by-step explanation:

but the answer is 1

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

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✓✓✓

PLEASE HELP ME! AND THANK YOU!

Answers

Answer:

Real Numbers, Rational Numbers, Integers

Step-by-step explanation:

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:


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.


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.

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:

Given the function : f(x) = -3x + 2, what is f (2)?​

Answers

Answer:

-4

Step-by-step explanation:

f(2)=-3x+2

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 3/4

Step-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%

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.

What is an expression?

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

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:

3645

Step-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

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

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

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

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.

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

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!

the answer is 6 if i’m not mistaken

Help please! Any help is appreciated

Answers

Answer:

Wassup

Step-by-step explanation:

Wut do u need help on .o.

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

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