Mathematics College

A pennant flag that is 2 inches high with a base of 1.5 inches has an area of 1.5 square inches. The
area of a triangle varies jointly with the base and height. Find the area of a flag whose base
measures 2 inches and height is 2.5 inches.

Answers

Answer 1

Answer:

2.5 sq. inches

Step-by-step explanation:

Explanation is given in the pic attached.

Area of triangle= 1/2* base* height

Hope this helps!

A Pennant Flag That Is 2 Inches High With A Base Of 1.5 Inches Has An Area Of 1.5 Square Inches. Thearea
Answer 2

The area of the flag when the base is 2 inches and the height is 2.5 inches is 2.5 square inches

From the question, we understand that the area (A) of the flag varies jointly with the base (B) and the height (H)

This variation is represented as:

[tex]\mathbf{A\ \alpha\ B \times H}[/tex]

So, we have:

[tex]\mathbf{A\ \alpha\ BH}[/tex]

Express as an equation

[tex]\mathbf{A\ =k BH}[/tex]

When the area is 1.5 square inches, the base is 1.5 inches and the height is 2 inches, we have:

[tex]\mathbf{A\ =k BH}[/tex]

This gives

[tex]\mathbf{1.5\ =k \times 1.5 \times 2}[/tex]

[tex]\mathbf{1.5\ =k \times 3}[/tex]

Divide both sides by 3

[tex]\mathbf{\frac 12 =k }[/tex]

Rewrite as:

[tex]\mathbf{k = \frac 12}[/tex]

When the base is 2 inches and the height is 2.5 inches, we have:

[tex]\mathbf{A\ =k BH}[/tex]

This gives

[tex]\mathbf{A = \frac 12 \times 2 \times 2.5}[/tex]

[tex]\mathbf{A = 2.5}[/tex]

Hence, the area of the flag is 2.5 square inches

Read more about variations at:

https://brainly.com/question/14251450

Related Questions

Hey, wassup its sofie dossi! I would like to ask you what 567865676545678+456789098765432347898789 is?

Answers

Answer:

828383627262827294688

Step-by-step explanation:

When you add 567865676545678 to 456789098765432347898789, the best way to do it is by placing the biggest number above the smallest number on a paper. Visual representation does help!

To be clear, I am meaning in a format such as this;

456789098765432347898789

+                  567865676545678

----------------------------------------------

Then, just as you would add any simple 2 number equation such as 3+5, etc. you will look at these numbers from right to left. Look at the bottom right one first, then add it to the one above it, if it adds up above 9, you will carry the leftover number above the row to the left of your current row. So currently you are in row 1, and you will add up to get 17. That means you will keep the 7 and write it down at the bottom and carry the one to the next row, and place it above the 8.

Hope this helps!

Which of these lenders will make a very short-term loan based on proof of
employment?
A. Title lender
B. Bank
C. Credit union
D. Payday lender

Answers

I believe the answer is D

Six less than the product of 8 and a number equals 2

Answers

Answer:

unknown number = 1

Step-by-step explanation:

Let the unknown number be x.

(8×x)-6=2

   8x-6=2

       8x=2+6

           =8

         x=8÷8

           =1

Hence, unknown number = 1.

Isaiah has a points card for a movie theater.
He receives 75 rewards points just for signing up.
He earns 6.5 points for each visit to the movie theater.
He needs at least 140 points for a free movie ticket.

Write and solve an inequality that can be used to determine xx, the number of visits Isaiah can make to earn his first free movie ticket.

Inequality =
x - and _

Answers

Answer:

654

Step-by-step explanation:

You need to times the first 2 numbers nad then after that that you divide and then walaa ANSWER: 654

בוoit

An interior designer hangs canvas paintings along a hallway. If the interior designer uses canvas paintings with length measuring
9
inches and places them side by side along the hallway that has a length of
24
feet, how many paintings does the designer hang?

Answers

The number of paintings the designer can hang is 32.

In order to determine how many paintings the painter can hang, the length of the hallway would be divided by the length of the paintings.

Number of paintings = length of hallway / length of paintings

The unit of measurement of the hallway and the paintings have to be the same length,

1 foot = 12 inches

24 feet x 12 = 288 inches

Number of paintings = 288 / 9 = 32 paintings

To learn more about division, please check: https://brainly.com/question/194007

Please not bots due in hour!

Answers

Answer:

Range is 7 to 42

Step-by-step explanation:

May i please have the answer to this question?

Answers

Answer:

Well in order to solve these you can convert them into improper fractions.

So 11/5 + 11/6

Now to find the CM or someone multiple

So 5 and 6 have a common multiple of 30

So

66/30 + 55/30= 121/30

Now in mixed form

4 1/30

Answer:

4 1/30

Step-by-step explanation:

6/30+25/30 --> 6+25=31 --> 31/30

2+1=3

3+31/30=3 31/30= 4 1/30

Translate 9 times the sum of n and 12 to symbols

Answers

(n+12) • 9

to simplify, use the distributive property

9 • 12 = 108
9 • n = 9n
9n • 108

please answer fully ?/'//////////////////////

Answers

Answer:

17.5

Step-by-step explanation:

i solved it and got that answer. hope this helps =)

Keshawn is planning to drive from City X to City Y. The scale drawing below shows the distance between the two cities with a scale of ¼ inch = 5 miles.

Answers

Answer:

14 m actural sif 124075n

Step-by-step explanation:

What decimal is 0.77 %

Answers

Answer:

0.0077

Step-by-step explanation:

PLS HELP
What is 3/4 of a penny in decimal form?

Answers

Answer:

0.75 cents or $0.0075

Step-by-step explanation:

3/4 = 75/100 = 0.75

0.75 of a penny or $0.0075 in dollars

pls mark brainliest if this helped :)

3/4 of a penny in decimal form is 0.75 of a penny or $0.0075 in dollars.

What is a penny?

The cent, the United States one-cent coin (symbol: ¢), usually named the "penny", exists as a unit of currency equaling one one-hundredth of a United States dollar.

During the colonial period, people utilized a variety of coins from other nations. A popular coin stood the British penny, which was the least amount of the British pound coin. That's why we call our cent a “penny.”

Given: 3/4 of a penny

3/4 = 75/100 = 0.75

0.75 of a penny or $0.0075 in dollars

To learn more about decimal points refer to:

brainly.com/question/15205491

#SPJ2

14 - (-10)
Perform the indicated operation

Answers

Answer:

14 - (-10) = 24Step-by-step explanation: 14 - (-10) (-10)= 10    14 + 10 = 4

Maria spends 9/10 hour on her art project. Juan spends 2/6 hour on his art project. Which answer is the most accurate estimate for how much more time Maria spends on her art project than Juan spends on his?

A. 0 hrs
B. 1/2 hrs
C. 3/4 hrs
D. 1 hr

Answers

Answer:

B. 1/2 hrs

Step-by-step explanation:

make the denominator the same

27/30         10/30

27-10= 13

13/30

a half is 15/30 and it's the closest answer since the question said estimate.


Logan is a great babysitter. He makes $9 an hour. Jeanette is an even better babysitter. She makes $16 an hour. Jeanette works 18 hours each week. How many
hours does Logan need to work in order to earn as much money as Jeanette earns in a week?

Answers

Answer:

18hx16money=288 dollars

Step-by-step explanation:

to ez and np

Answer:

32 hours a week

Step-by-step explanation:

First you have to find out how much Jeanette makes. You can do this by multiplying 16 x 18 since she makes $16 18 times a week. This gives you $288 that she makes each week.

Now to find how much Logan would have to work you take 288 and divide it by 9. You do this because you need to see how many times 9 goes into 288 to give you the amount of hours. When you divide you get 32.

Which triangles are similar?

Triangle A
34/
A
30
37
12
15
h
53
9
62
16
Triangle C
Triangle B
A. Triangles A and C
B. Triangles A, B, and C
C. Triangles A and B
D. Triangles B and C

Answers

Triangle A and C are same because the angles formed by all three sides are same in both triangles.

Hope it helps you....

Please mark as brainlliest!!!

Find x: 8^2^x=4

pls help!

Answers

Answer:

x = 1/3

Step-by-step explanation:

assuming this is saying (8^2)^x = 4

2^6x = 4

2^6x = 2^2

6x = 2

x = 1/3

Answer: yes X= 1/3.

Using 7 what is the angle measure represented by the expression (2x+45)°?
PLEASE HELP ITS URGENT

Answers

If you plug 7 as x into:

(2x+45)

then you get

(2(7)+45)

(14+45)

(59)

[tex]\int \frac{dx}{x^2\left(9+x^2\right)}[/tex][tex]\int \frac{dx}{x^2\left(9+x^2\right)}[/tex]

Answers

Answer:21 :)

Step-by-step explanation:

please help i am stuck

Answers

Explanation:

All of these are done the same way.

1. Set your compass to a distance slightly longer than the distance from the point to the line you want the perpendicular to.

2. Using the point as a center, draw an arc that intersects the line in 2 places. Consider those points to be "P" and "Q".

3. You can leave the compass as is, or set it to any other distance longer than half the distance between P and Q. Using this radius, and using P and Q as centers, draw intersecting arcs on the other side of the line from the original point. Consider the intersection of those arcs to be point "R".

4. A line through the original point and point R will be perpendicular to the line, as you want.

_____

In problem 1, the point and line are obvious.

In problem 2, the point is the vertex opposite the line of interest. (There will be 3 similar constructions.)

Factorise
x2 + 11x + 28

Answers

Answer:

[tex]\huge\boxed{(x+7)(x+4)}[/tex]

Step-by-step explanation:

To factor a polynomial expression with a degree of 2, simply look at the second and last term (11x and 28).  Discard the x and you are left with 11 and 28.  

To factor the equation, simply find two numbers that add to 11, and multiply to 28, 4 and 7.  Then, simply use those two numbers to make the terms.

Hope it helps :) and let me know if you want me to elaborate.

What will be the velocity of a when it travels 300 min 30 second?with explanation.​

Answers

you know that velocity and speed have the same equation right? so v= d/t
300/30= 10m/s
hope it helps

Mr. Wilhelm got a $2 discount on
the purchase of 5 bags of peat moss.
If he paid $7.40, what was the price
for a bag of peat moss before the
discount?

Answers

Answer:

9.40

Step-by-step explanation:

7.40+2.00=9.40

the length of a rectangle in (3+√7) and it's with is (1+2√7). what is the area of the rectangle? what is the perimeter of the rectangle​

Answers

Answer:

Area: (3+√7) x (1+2√7) = 17+7√7 = 35.52

Perimeter: 2(3+√7) + 2(1+2√7) = 8+6√7 = 23.87

A teacher selects 4 students from her class of 37 to work together on a project. How many ways are there for her to select the students

Answers

Answer:

The correct answer is 66,045

Complete the equation for the line shown in the graph. (-1,-2) (0,1) (1,4)

Answers

An equation for the given ordered pairs you gave me is: y=3x+1

Hope this helped you!! :)

what is the measure of line CD. explain​

Answers

So the answer will be 15-19 one of those numbers so 15 16 17 18 or 19

HELP WITH GEOMETRY HOMEWORK ASAP!!!

Answers

Answer:

26°

Step-by-step explanation:

90°+64°+x°=180° (Sum of all the angles in a right angled triangle=180°)

154°+x°=180°

x°=180-154°

x°=26°

Help help help help help pleases pelass thank you

Answers

Answer:

a' (-6,7) b' (-5,3) c'(-2,4)

Step-by-step explanation:

HELP PLS!! no links !!!

Answers

Answer:

the correct answer is b

Step-by-step explanation:

Like and give 5 star rating

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