Find the area of an isosceles triangle with perimeter of 40 feet and a base of 12 feet. Round to the nearest whole number.

Answers

Answer 1

Answer: 76 ft2

Step-by-step explanation:

Perimeter = 2 side length +base length

40 = 2s +12

Solving for s:

40-12 =2s

28 =2s

28/2=s

14ft =side

Since the line which bisects and isosceles triangles is at a right angle to the base we can use the Pythagorean Theorem to find the height (see attachment)  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case 14) and a and b are the other sides. (Base divided by 2 is one side, the other side is the height)

Replacing with the values given:  

14^2= 6^2 + x^2

196 = 36 + x^2

196-36 = x^2

160 = x^2

√160 = x

x = 12.64 (height)

Area of an isosceles triangle = 1/2 x base x height  

A = 1/2 x 12 x 12.64 = 76 ft2

Find The Area Of An Isosceles Triangle With Perimeter Of 40 Feet And A Base Of 12 Feet. Round To The

Related Questions

What is the approximate area of a sector of a circle with a radius of 8 cm, and a minor arc of 70 degrees?

Answers

Answer:

39.0953=39cm2

Step-by-step explanation:

Minor arc =70

Angle of arc=70

Then this sector =70/360=7/36 of the circle

Then area = 7/36x3.14x8x8=39cm2 approximatly

Two boxes have the same volume. One box has a base that is 222 inches by 222 inches. The other box has a base that is 444 inches by 444 inches.
How many times as tall is the box with the smaller base?

Answers

Answer:

2 times

Step-by-step explanation:

An American motor company is releasing a new car model. There will be 2 body styles (2 or 4 door) from which to choose. They also offer 3 interior packages (deluxe, luxury, or special edition) and an option of 2 drive trains (front-wheel or four-wheel drive). If a local dealer wanted one of each possible model on her sales lot, how many cars would she need to order?

Answers

Answer:

She needs to order 12 cars

Step-by-step explanation:

To find the total number of models, we just need to multiply the number of options for each choice:

body style: 2 options

interior package: 3 options

drive train: 2 options

So the number of different models is:

2 * 3 * 2 = 12 different models

So in order to have all the possible models, she needs to order 12 cars.

I’m tryna figure out how find the value of x

Answers

Step-by-step explanation:

tan(37) = x/3

x=tan(37)*3

If C(5,-5) and D(7,3) then what is the length of CD? Round to the nearest tenth

Answers

(x1-x2)^2+(y1-y2)^2开根号

the right answer is 68 units...

please see attached picture for full solution

hope it helps

good luck on your assignment

Stay safe

Find the perimeter and the area of the composite shape..

Answers

27.7 cm is the perimeter

Answer:

area- 36.07 cm^2

perimeter- 28cm

Step-by-step explanation:

1) we could break the composite shape into 2 seperate shapes:

1 shape- measuring 3.1 by 3.4 cm

2nd shape- measuring (3.1)+(3.8)cm by 3.7 cm

since both shapes are rectangles we can find area by multiplying length and width

so 3.1*3.4=10.54

and 3.1+3.8=6.9

6.9*3.7=25.53

we can add both areas up to get TOTAL area of figure:

25.53+10.54=36.07

area- 36.07 cm

to find perimeter: there are 2 unknown sides in this figure, the bottom side length can be found out by adding 3.1 and 3.8, which is 6.9 and the side adjacent to the bottom one can be found by adding 3.4 and 3.7, which is 7.1

now we add up all the numbers: 3.1+3.4+3.8+3.7+6.9+7.1= 28

28 cm

Which of the following can be used to evaluate the series 224)***,

Answers

Answer:

442

Step-by-step explanation:

10 points
Тур
Ricardo buys at least 8.5 but no more than 11
gallons of gas each week. The price of gas has
ranged from $2.40 to $2.65 per gallon each
week.

Answers

Answer:

Here we have two inequalities.

P is price of the gallon,we have that:

$2.40 ≤ P ≤ $2.65

C is the amount of gallons that Ricardo buys each week.

8,5 ≤ C ≤ 11

Now, with this you can find the maximum and minimum amount that he can spend on a week.

The minimum is when he buys only 8.5 gallons and the price per gallon is $2.40

Cost = 8.5*$2.40 = $20.4

The maximum cost is when he buys 11 gallons, and the price of the gallon is $2.65

Cost = 11*$2.65 = $29.15

So the amount that he spends per week in gas, S, is:

$20.4 ≤ S ≤  $29.15

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:-5-1 c

Step-by-step explanation:

The diagram shows the cross-section of a wall of a cinema. It has to be painted. Work out the area that needs to be painted.

Answers

Answer:

Area = 370 m²

Cost to paint = £105

Step-by-step explanation:

Area of the wall of a cinema hall = Area of a trapezoid (1)+ Area of a rectangle (2) + Area of a trapezoid (3)

Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

where [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel sides and h is the distance between these sides.

Area of trapezoid (1) = [tex]\frac{1}{2}(11+12)\times 6[/tex]

                                  = 69 m²

Area of the rectangle (2) = Length × Width

                                         = 12 × 15

                                         = 180 m²

Area of the trapezoid (3) = [tex]\frac{1}{2}(12+10)\times 11[/tex]

                                         = 121 m²

Now area of the wall = 69 + 180 + 121

                                   = 370 m²

One tin covers the area = 25 m²

Number of tins required to paint the wall = [tex]\frac{\text{Total area}}{\text{Area covered by one tin}}[/tex]

= [tex]\frac{370}{25}[/tex]

= 14.8

Therefore, number of tins to be purchased = 15

Cost to paint the complete wall = 15 × £7

                                                       = £105

Assignment
Active
Relating a Real-World Situation to a Table
Which table represents the relationship "A 747 jumbo jet has a cruising speed of 550 miles per hour"?
Hours
(h)
Miles
(m)
Hours
(h)
Miles
(m)
Hours
(h)
Miles
(m)
550
1
1
551
1
550
2
552
1,100
2
1.100
2.
1,650
3
3
3
553
1.650

Answers

Answer:

C.

Step-by-step explanation:edge2020

Answer:

i  said c yea it is

Step-by-step explanation:

Solve for b.

2b + 9 = b

b =

Answers

Answer:

-9

Step-by-step explanation:

9=b-2b

9=-b

divide both sides by -

b=-9

Answer:

[tex] \boxed{b = 9} [/tex]

Step-by-step explanation:

[tex] = > 2b + 9 = b \\ \\ = > 2b - b + 9 = 0 \\ \\ = > b + 9 = 0 \\ \\ = > b = - 9[/tex]

The slope of a line is
oni -
and the y-intercept is 5. What is the equation of the line written in general
5'
form?

Answers

Answer:

I don't know what general 5' form means, but I'm guessing that means slope-intercept form, the easiest form of a linear equation. So we can use the equation for this is y = mx+b. M being slope, and b is the y-intercept. So that means that we will get an answer of:

y = 1x+5, you spelled 1 wrong so I just correct it.

Answer: y = x+5

Ronald spent $123.45 on school clothes. He counted his money and discovered that he had $36.55 left. How much money did he originally have?

Answers

Answer: Ronald originally had $160

Step-by-step Explanation:

First, you take the amount of money he spent, and you then add it to the amount of money he has after her bought school clothes, finally you would find out how much money he originally had.

$123.45+$36.55
= $160

Answer:

$123.45+$36.55

= $160

Step-by-step explanation:

Suppose you are playing Rock, Paper, Scissors. Once you choose what you want to throw , you roll a 6 sided die. How many options exist in your sample space?

Answers

Answer:

18, if im correct...

Step-by-step explanation:

I'm pretty sure you would multiply the 6 options (for each die side) by the 3 options (rock, paper, or scissors) together.

so 6*3=18

27^x=1/9 find the value of x with steps

Answers

Answer:

x = -2/3

Step-by-step explanation:

27^x=1/9

writing 27 as 3^3  and 1/9 as 3 ^-2

3^3^x = 3^-2

We know that a^b^c =a^(b*c)

3^(3x) = 3^-2

Since the bases are the same the exponents need to be the same

3x = -2

x = -2/3

Please help this is past due

Answers

Answer:

See below.

Step-by-step explanation:

Alexi originally has $43 in his bank account and deposits $7 per week.

Week 1: $50

Week 2: $57

Week 3: $64

Week 4: $71

Week 5: $78

The pattern is that it increased $7 every week starting from $43.

A pattern rule would be: y = 7x + 43 where x represents the number of weeks.

Find the exact value of each expression. sin75 degrees and cos(-75 degrees).​

Answers

Answer:

0.965925826

0.258819045

Step-by-step explanation:

→If you were to calculate [tex]sin(75)[/tex], you would have a total of:

0.965925826

→If you were to calculate [tex]cos(-75)[/tex], you would have a total of:

0.258819045

In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer and 0 for answer not attempted. Ram gets 3 correct and 4 incorrect out of 7 questions he attempted. What is his score?​

Answers

Answer: He scored 7 marks

Step-by-step explanation:

Correct answer gets +5, so 5 * 3 = 15

Incorrect answer gets -2 so -2 * 4 = -8

So he scored 15 - 8 = 7

Triangle ABC is dilated to create triangle A’B’C’ using point O as the center of dilation. What is the scale factor of the dilation?
1/3
3
4
1/4

Answers

Answer: 4

Step-by-step explanation: a is three units away from o and a’ is 9 units away from o. you add 9+3 to get the total distance and divide that number by 3 to get the scale factor. 12/3=4

The scale factor for the given dilation is 3

What is Dilation?

Dilation is a transformation of an object which changes its size. if the dilated image is larger then it is called enlargement. If the dilated image is smaller it is called reduction.

If the dilation has the origin as the center of dilation, we can find points on the image formed by dilation by multiplying the coordinates of the original geometric object like triangle multiplying by the scale factor. For scale factor k, the transformation of the dilation is written as :  (x, y) (k x, k y).

The scale factor ,k  = coordinate of image / coordinate of original

Given that Triangle ABC is dilated to create triangle A’B’C’ using point O as the center of dilation as shown in the figure

Scale Factor = coordinate of image / coordinate of original

                    = OA' / OA = 9/3 = 3

Therefore, the scale factor for the given dilation is 3.

Also, Learn more about dilation from the link given below:

https://brainly.com/question/17062921

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the perimeter of a stop sign is 99.2 inches. Each side of the stop sign is equal.

Write and solve an equation to find the measurement of one side of the stop sign n.

Answers

Answer: The equation can be written as 8n = 99.2.

Step-by-step explanation:

In my answer, I used the variable n to distinguish itself as one side of the stop sign. 99.2 is the final perimeter in inches.

A stop sign is an octagonal shape (otherwise, it is made up of 8 equal sides). Therefore, with this information, you can interpret that the length of one side would be equal to the length of all of the other sides.

Hence, the answer can be represented as 8n = 99.2.

Irina wants to tile her floor using the translation shown
below. Which is the rule for this translation?
6
O T-3, 2(x, y)
O T2, -3(x, y)
O T3, 2(x, y)
OT-2,3(x, y)
B
5 6
X
-6
D
IB
B
C

Answers

The translation rule of the tile floor is T -3,2 (x,y)

How to determine the translation rule?

From the complete question, the tile floor is shifted left by 3 units, and shifted up by 2 units.

This is represented as:

(x,y) -> (x - 3, y + 2)

This can also be written as:

T -3,2 (x,y)

Hence, the translation rule is T -3,2 (x,y)

Read more about translation at:

https://brainly.com/question/4289712

Answer:

A: T-3, 2(x, y)

Step-by-step explanation:

Solve for c.
-64 ≥ -103 - C​

Answers

Answer:

-39 is less than or equal to C

Step-by-step explanation:

39 is greater or equal to -C

-39 is less than or equal to C

Use the
DULive
(7 x 9) - (7 x 2) = (x (9 - 2)

Answers

Answer:

X=7

Step-by-step explanation: I

63-14=7x

7x=49

x=7

the answer to your question is x=7

(Literal equations) The formula for the volume of a cylinder is V = πr^2h. Solve V = πr^2h for h, the height of the cylinder. A. h= π/Vr^2 B. h= πr^2/V C. h= V/πr^2 D. h= πV/r^2

Answers

Answer:

C

Step-by-step explanation:

Given

V = πr²h

Isolate h by dividing both sides by πr²

[tex]\frac{V}{\pi r^2}[/tex] = h → C

Which equation of a line has a slope of −2 and a y-intercept of (0,8)?

Answers

Answer:

y = -2x + 8

Step-by-step explanation:

what should be added to twice a rational Number -7/3to get 3/7

Answers

Answer:

107/21

Step-by-step explanation:

re - phrase the question algebraically:

-14/3 + y = 3/7

LCM of 3 and 7  = 21

-98/21 + y = 9/21

what should be added to -98 to make 9?

answer: 107

therefore answer: 107/21

Hope this helps.

Good Luck

Select the correct answer. Which economic indicator measures inflation? A. GDP B. CPI C. unemployment rate

Answers

Answer:

B

Step-by-step explanation:

The correct answer is CPI. It shows the average price over time paid by consumers.

Hope this helps! (Please consider giving brainliest)

P.S: This is not a mathematics question.

The economic indicator measures inflation among the options given is: C. unemployment rate

What is an economic indicator that measures inflation?

CPI (Consumer Price Index) is the appropriate economic indicator for assessing inflation as it monitors price fluctuations of a designated basket of goods and services, giving insights into average price changes.

Conversely, GDP (Gross Domestic Product) quantifies the total value of goods and services produced in an economy, while the unemployment rate measures the percentage of the labor force without jobs.

Therefore, the answer is: C. unemployment rate

Learn more about inflation on:

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10. A school is trying to schedule periods of Chemistry and Algebra II.
They find that a total of 386 students are taking either one or both of
the two courses. If 298 students signed up for Algebra II and 328 have
signed up for Chemistry, what would be the probability that a student
chosen at random from the 386 will be signed up for both of the
courses? Round your answer to the nearest whole number percent.

Answers

Answer:

~62%

Step-by-step explanation:

Let n(A) be the number of students signed up for Algebra II.

Given that n(A) = 298

Let n(B) be the number of students signed up for Chemistry.

Given that n(B) = 328

n(A [tex]\cup[/tex] B) will be the number of students who have signed up for either one or both of two subjects.

n(A [tex]\cup[/tex] B) = 386

Formula for n(A [tex]\cup[/tex] B):

n(A [tex]\cup[/tex] B) = n(A) + n(B) - n(A [tex]\cap[/tex] B)

Where n(A [tex]\cap[/tex] B) is the number of students signed up for both the courses.

Putting the values in the formula above:

386 = 298 + 328 - n(A [tex]\cap[/tex] B)

n(A [tex]\cap[/tex] B) = 240

Formula for Probability of an event E:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

[tex]P(A \cap B) = \dfrac{n(A \cup B) }{n(A \cap B)}[/tex]

[tex]\Rightarrow P(A \cap B) = \dfrac{240 }{386}\\\Rightarrow P(A \cap B) = 62.17\%[/tex]

Hence, the required probability is ~62%

The probability that a student chosen at random from the 386 will be signed up for both of the courses should be 62%.

Calculation of the probability:

Since total of 386 students are taking either one or both of the two courses. If 298 students signed up for Algebra II and 328 have signed up for Chemistry

So here the no of students that signed up for both subjects should be

= 298 + 328 - 386

= 240

Now the probability is

[tex]= 240\div 386[/tex]

= 62%

Hence, The probability that a student chosen at random from the 386 will be signed up for both of the courses should be 62%.

Learn more about probability here: https://brainly.com/question/16923992

Which polygon is a hexagon? A 5-sided figure. A 6-sided figure. An 8-sided figure. A 7-sided figure.

Answers

Answer:

6-Sided Figure.

Step-by-step explanation:

A 6 - sided figure is called a Hexagon.

What is Line segment?

A line segment is a part of line having two endpoints and it is bounded by two distinct end points and contain every point on the line that is between its endpoint.

Given that;

The polygon is a Hexagon.

Now,

Since, A hexagon is made up with 6 - sided.

And, A polygon is called a Hexagon when it has 6 sides, 6 angles and 6 vertices.

Thus, A 6 - sided figure is called a Hexagon.

Learn more about the hexagon visit:

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