A triangular road sign has a height of 3 feet and a base of 2.5 feet. How much larger in area is this sign than one with a height of 2.5 feet and a base of 3 feet?

Answers

Answer 1

Answer:

Not larger or smaller; the areas are the same

Step-by-step explanation:

Recall that the formula for the area of a triangle of base b and height h is

A = (1/2)(b)(h).

In the first case, h = 3 ft and b = 2.5 ft.  This results in an area of 3.75 ft^2.

In the second case, h = 2.5 ft and b = 3 ft.  The area is the same:  3.75 ft^2.

This is because A = (1/2)(b)(h) has the same value regardless of the order in which b and h  are used as multipliers.

There is no difference in the areas of the two signs.  The areas are the same.


Related Questions

How many weeks is 36 days

Answers

Answer:

about 5 weeks

Step-by-step explanation:

divide 36 by 7

Answer:

5 weeks

Step-by-step explanation:

there is 5 weeks and some days

we know 7 days= 1 week

1 day =1/7 week

36 day= 1/7)*36

=5.14 weeks

..... hope you liked it.

3. Are these figures congruent?
A Yes, they are congruent.
B) No, they are not congruent.

Answers

Answer:

B) No, they are not congruent.

One is smaller than the other & hence they are not congruent.

Answer:

B

Step-by-step explanation:

If they were to be congruent, they would have to be the same size and look the same in all aspects including angles and side lengths, but they aren't as they are similar shapes, therefore B.

Hope this helps!!

Explain why the product of a non-0 rational number and an irrational number is irrational?

Answers

Answer:

An irrational number is a number that can not be written as the quotient of two integer numbers.

Then if we have:

A = a rational number

B = a irrational number.

Then we can write:

A = x/y

Then the product of A and B can be written as:

A*B = (x/y)*B

Now, let's assume that this product is a rational number, then the product can be written as the quotient between two integer numbers.

(x/y)*B = (m/n)

If we isolate B, we get:

B = (m/n)*(y/x)

We can rewrite this as:

B = (m*y)/(n*x)

Where m, n, y, and x are integer numbers, then:

m*y is an integer

n*x is an integer.

Then B can be written as the quotient of two integer numbers, but this contradicts the initial hypothesis where we assumed that B was an irrational number.

Then the product of an irrational number and a rational number different than zero is always an irrational number.

We need to add the fact that the rational number is different than zero because if:

B is an irrational number

And we multiply it by zero, we get:

B*0 = 0

Then the product of an irrational number and zero is zero, which is a rational number.

A type of fish for your aquarium costs ​$7 each. You can spend ​at most $56. How many of these fish can you​ buy? Write an inequality to model the problem. Then solve the inequality to find the number of fish.Over the next 13 months you have to read more than 65 books. You have to read x books per month. The inequality 13x>68represents this situation. Solve the inequality to find the number of books you have to read per month.

Answers

Answer:

x  <= 8 ... you can buy a max of 8 fishes

6 books or more per month.

Step-by-step explanation:

Given the information provided, we can create the following inequality which multiplies the cost per fish ($7) by the number of fish we can buy (x) and it has to be less than or equal to $56

7x <= 56

We can now solve this inequality by isolating x

7x <= 56  ... divide 7 on both sides

x  <= 8   ... you can buy a max of 8 fishes

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

13x > 68  ... divide both sides by 13

x > 5.23

Since the number of books needs to be a whole number then we round this decimal up to 6. Meaning that you must read 6 books or more per month.

HELPPPPPPPPPPPP PLEASE

Answers

Answer: <B is congruent to <E

Step-by-step explanation:

There is no “angle,angle,angle” theorem when proving triangles are congruent.

There are 5 however that do:

ASA (angle, included side, angle)

SSS (side, side, side)

SAS (side, included angle, side)

AAS (angle,angle, non included side)

HL (hypotenuse,leg)

what's the circumference of a circle with a diameter of 12 inches? Use 3.14 for pi

Answers

Answer:

37.68 inches

Step-by-step explanation:

Circumference = 12 x 3.14

Circumference = 37.68

Hope that helps!

this is a 10 point question i need help

Answers

It’s B because they both equal each other I would explain more but I’m in class but the answer is definitely B

Solve for X. Please solve all four. First person to do so will get brainliest.

Answers

Answer:

x=-12

x=10

x=-8

x=-5

Step-by-step explanation:

Answer:

1.x=-12

2.x=10

3.x=-8

4.x=-5

Step-by-step explanation:

HELP ASAP !! I have trouble with this

Answers

Answer:

x= 0.7227 in radians

x= 41.4096 in degrees

Step-by-step explanation:

cos(x) = 6/8

What does m equal?please help me.

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the inequalities.

===> -7 + 45m - 35 < 9m - 11

===> 45m - 42 < 9m - 11

===> 45m - 9m < -11 + 42

==> 36m < 31

==> m < 31/36

hence the value of m < 31/36

Answer:

m = 31/36

Step-by-step explanation:

Hope this helps you.

Solve by subsititution:
X = - 3y + 1
-3x - 3y = -15

Answers

Answer:

y=-2   x=7

Step-by-step explanation:

James travels 147 metres in 2 seconds.
Find the average speed of James during that time.
Give your answer correct to 1 decimal place where appropriate.
m/s

Answers

Answer:

73.5m/s is the average speed

Step-by-step explanation:

147/2=73.5

Write the slope-intercept form of the equation of each line.

Answers

Step-by-step explanation:

you look at how the line intersects with an integer point.

on the y-axis, the line has a value of -2 so it has a y-intercept value of -2

so the slope formula is rise/run.

As we can see on the graph, there is no line on the graph that truly lines up with a point besides (0,-2)

if we look at all of the slopes

from A,B,C, and D, and there are not any slopes besides d that are on the graph.

y=mx+b

m=slope

b=y-intercept

If we expand the graph a little bit we can see that the point (0,-2) goes up 7 and goes to the left of 4 units.

so the answer is D    : y=-7/4x-2

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

and since we go up and to the left or we go down and to the right that determines that the slope is negative.

If we started on a point on the y-axis, and started and went up and to the right or down and to the left.

Hope that helps :)

Please give brainliest

How do i find this slope?!?!?!

Answers

The slope is 3/4 because it is 3 units up and then 4 units to the right.

Answer:

Step-by-step explanation:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Here are the equations you can use to find the slope;

Slope. y2 - y1 / x2 - x1 = slope.

Slope Intercept form. y = mx + b.

Point slope form. y - y1 = m ( x - x1)

Find the solution of the system of equations.
-3x + 10y = 2
- 3x + 3y = 9

Answers

Answer:

(-4,-1)

Step-by-step explanation:

Try plugging into Desmos Graphing Calculator

Can someone please help

Answers

Answer:

134.04 cm³ (rounded to tenths)

Step-by-step explanation:

The radius(r) is 4 cm

The height(h) is 8 cm

Using the equation and plugging in the values, you get

[tex]\frac{\pi *4^{2}*8 }{3} = 134.0412866[/tex]

Help me it’s timed!!!

Answers

The answer is 8*5*5=200

Estimate the sum by rounding each number to the nearest half or whole.
2 1/2 + 5 5/8=

O 8 1/2
O 8
O 7
O 7 1/2

Answers

If you add them together the sum is 8 1/8 and if you round it it’s 8

You and your friend complete video game levels at the same rate. You complete 5 levels in 45 hours. How many levels does your friend complete in 9 hours? please help!!!

Answers

Answer:

Your friend complete 1 level per 9 hours.

You complete 5 levels in 45h so you get 1 lv per 9h 45/9=5

Evaluate: 12 + 4 x (11 - 6) =

Answers

Answer:

it equals 32

Step-by-step explanation:

Hope this helps!

Answer:

doesn't really make sense

Step-by-step explanation:

if you were to do this problem according to PEMDAS it would be 12+20x

can someone plz help with this? geometry:)

Answers

Answer:

One property of rectangles is that the diagonals of rectangles bisect each other, meaning 2 of JN is equal to JL.

We can form an equation off of this, 2(x+3) = 3x + 1 and then solve for x    

               

2(x+3)= 3x + 1                     First, distribute the 2 to each term in x+3,

the result should be:

2x + 6 = 3x+ 1          then subtract 2x from both sides

-2x        -2x

the result should be :

 6 = x + 1             subtract 1 from both sides

-1         -1

the result should be x=5

plug that into the equations and JN= 5+3, JL=15+1

The two correct options are

NM = 8  ( both of the diagonals are equal to eachother )

JL = 16

Which graph has a slope of 4/5?

Answers

Answer: The second one

Step-by-step explanation:

Apply the distributive property to factor out the greatest common factor. 75+20=75+20=75, plus, 20, equals

Answers

Answer: 75+20=75 and 20+75=20

Step-by-step explanation:

Find the scale factor of a drawing if the scale is 1 inch = 1/8 inch
inch.

A. 1/8
B. 1
C. 1/4
D. 8

Answers

Answer:

A

Step-by-step explanation:

A mattress 39 inches wide×80 inches long× 11 inches high. How many will fit in a 30 yard dumpster at 8 feet wide × 22 feet long × 6 feet high. It holds 30 cubic yards of waste.

Answers

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What is the length in centimeters of the hypotenuse of the right triangle below?
2 cm
8 cm

Answers

Answer:

Step-by-step explanation:

WASSUP

I need help ASAP!!!!!!

Answers

Answer:

1. YES  2. NO

Step-by-step explanation:

1. Since x=0.121212... and the question is asking for 100x, we need to multiply each side by 100. 0.121212... multiplied by 100 is 12.1212... So YES, 100x is still a repeating decimal.

2. 12.121212... minus 0.121212... would just be 12. This is because if we know that all the numbers behind the decimal point is 0.121212 and so on, 12.121212... minus 0.121212... the numbers behind the decimal would cancel out. So we are left with 12. So NO, the answer for 99x is NOT a repeating decimal.

6.A = 23 × 3 × 5 B = 22 × 3 × 52
Write down the highest common factor (HCF) of A and B.Required to answer. Single line text.
(1 Point)

Answers

Given:

The two numbers are

[tex]A=23\times 3\times 5[/tex]

[tex]B=22\times 3\times 52[/tex]

To find:

The highest common factor (HCF) of A and B

Solution:

We have,

[tex]A=23\times 3\times 5[/tex]               ...(i)

[tex]B=22\times 3\times 52[/tex]

All the factors of A are prime but the factors of B are not prime. So, it can be written as

[tex]B=2\times 11\times 3\times 13\times 2\times 2[/tex]          ...(ii)

From (i) and (ii), it is clear that 3 is the only common factor of A and B. So,

[tex]HCF(A,B) = 3[/tex]

Therefore, the highest common factor (HCF) of A and B is 3.


A triangle was translated 4 units down.
In the graph, which figure is the pre-image and which
figure is the image?
O AFGH is the image and A ABC is the pre-image
AFGH is the pre-image and AABC is the image.
Both triangles are images.
The image cannot be determined from the graph.

Answers

Given:

A graph that contains image and preimage.

To find:

Which figure is the preimage and which figure is the image.

Solution:

Initial figure is known as preimage and translated figure is known as image.

It is given that a triangle was translated 4 units down. It means, the upper triangle is preimage and the lower triangle is the image.

So, ΔFGH is the pre-image and ΔABC is the image.

Therefore, the correct option is B.

the answer is B :0

i got it right on my assignment !!!!

Find the value of y. Round your answers to the nearest tenth

Answers

Answer:

y ≈ 4.3

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AB}{RS}[/tex] = [tex]\frac{ED}{VU}[/tex] , substitute values

[tex]\frac{6}{4}[/tex] = [tex]\frac{8}{y+1}[/tex] ( cross- multiply )

6(y + 1) = 32

6y + 6 = 32 ( subtract 6 from both sides )

6y = 26 ( divide both sides by 6 )

y ≈ 4.3 ( to the nearest tenth )

Answer:

4.3 Is the answer like the value of X in the nearest tenth.

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