Find the area of the given shape?

Given:

Box A has a surface area of 98 in².

Box B is 4 times the size of box A.

To find:

The surface area of box B.

Solution:

Let "a" be the side of box A , then "4a" be the side of box B because box B is 4 times the size of box A.

We know that the areas of similar figures are proportional to the square of their corresponding sides.

[tex]\dfrac{\text{Area of box A}}{\text{Area of box B}}=\dfrac{(\text{Side of box A})^2}{(\text{Side of box B})^2}[/tex]

[tex]\dfrac{98}{A_B}=\dfrac{(a)^2}{(4a)^2}[/tex]

[tex]\dfrac{98}{A_B}=\dfrac{(a)^2}{16a^2}[/tex]

[tex]\dfrac{98}{A_B}=\dfrac{1}{16}[/tex]

Using cross multiplication, we get

[tex]98\times 16=1\times A_B[/tex]

[tex]1568=A_B[/tex]

Therefore, the surface area of box B is 1568 in².

Answer:

6

Step-by-step explanation:

In a 45 · 45 · 90 triangle, the hypotenuse is √2 · legs, because a 45 · 45 · 90 triangle is isosceles, so the legs are the same length. So, we have 3√2 · √2 = 6, so the hypotenuse is 6.

x=6

Answer:

△ABCtriangle and △CDAtriangle, by side-angle-side

Step-by-step explanation:

The amount of money in the account after 18 years will be $449.5.  

Given is a parallelogram as shown in the image.

In order to prove ABCD as a parallelogram, we can prove ΔABE and ΔCDE congruent to each other by Angle - Angle - Side congruent property as -

∠BAE = ∠DCE     {Alt. int. angles}

∠ABE = ∠CDE     {Alt. int. angles}

AB = CD    {Given}

Therefore, she can prove ABCD as a parallelogram by proving -

ΔABE ≅ ΔCDE using AAS criteria.

To solve more questions on congruent triangles, visit the link below -

https://brainly.com/question/22062407

#SPJ2

Answer:

b

Step-by-step explanation:

An integer is a whole number

If the stock market gains by 10 basis points. It means that it increases by (0.0001 x 10) = 0.001% or 0.00001

this is a decimal and not an integer

Answer:

30=3x+6

Step-by-step explanation:

All the triangles have 180° total angle measurement.

First question:

114 + 37 + x = 180°

151 + x = 180

x = 180 - 151

x = 29°

Second question:

93 + 46 + x = 180

139 + x = 180

x = 180 - 139

x = 41°

Answer:

In the first question x=29 Because the interior of a triangle adds up to 180.So you will add 114+37=151 , 180-151=29

The second question 93+46=139

180-139=41

x=41

Answer:

60 cubic inches

Step-by-step explanation:

A = πr²(h/3) = 4(5)π

Answer: The closest one would be 3052.1

Step-by-step explanation:

Grasshoper and Rabbits is correct answer .

Answer:

the tank is 3 feet deep

Step-by-step explanation:

I got 15.65 then rounded up to 3

Answer:

A=[tex](4x-5)^{2}[/tex]

Step-by-step explanation:

The area of a square can be found by multipling two of the side lengths. And since all the sides of a sqaures are the same we just multiply (4x-5)(4x-5)=A or  [tex](4x-5)^{2}[/tex]=A.

Answer:

15 units^2

Step-by-step explanation:

Formula for area:

length × width or l × w

Count the length of BA or CD (they should equal the same):

Length (l) = 5 units

Count the width of AD or BC (they should equal the same):

Width (w) = 3 units

Plug these numbers into the formula:

5 units × 3 units

15 units^2

Answer:

A is 3.14

Step-by-step explanation:

. good day.hope it helps

Answer:

Step-by-step explanation:

circumference   =   2 * pi * radius

                                                            Plug in  4 meters  for radius  and  3.14  for  pi  .

circumference   ≈   2 * 3.14 * 4 m

                                                            Multiply these together.

circumference   ≈   25.1 m

area   =   pi * radius2

                                                            Plug in  4 meters  for radius  and  3.14  for  pi  .

area   ≈   3.14 * (4m)2

                                                            Square the  4m  .

area   ≈   3.14 * 16m2

                                                            Multiply.

area   ≈   50.2 m2

Answer:

[tex]30 + 0.05x < 60[/tex]

The number of texts she can have is less than 600.

Step-by-step explanation:

Total monthly charge

30 + 0.05 for each text.

So, for x tests, the charge is:

[tex]C(x) = 30 + 0.05x[/tex]

Write an inequality to represent the # of texts she can have?

It has to be under 60, so:

[tex]C(x) < 60[/tex]

[tex]30 + 0.05x < 60[/tex]

The solution is:

[tex]0.05x < 30[/tex]

[tex]x < \frac{30}{0.05}[/tex]

[tex]x < 600[/tex]

The number of texts she can have is less than 600.

Answer:

90 words

Step-by-step explanation:

Based on the information we have already, we can assume Alan types the same amount of words per minute meaning, all we have to do here is multiply.

30 words per minute x 3 minutes = 90 words

Answer:

Exterior = 22.5 degrees

Interior = 157.5 degrees

Step-by-step explanation:

Exterior angles = 360/16 = 22.5

Interior Angles = 180 - 22.5 = 157.5

Answer:

48 minutes

Step-by-step explanation:

take 40/100 and ?/120

we have to figure out what "?" equals

120*40= 4800

divide 4800 by 100 becuase that is the maximum percentage

4800/100= 48

40/100 = 48/120

Hope I helped

Answer:

Step-by-step explanation:

formula for surface area of a sphere is

A = 4πr^2

for a circle the area is

A = πr^2

notice they are the same except for the 4 in front of the sphere... so which do you think is bigger

3 circles or 1 sphere.. that all have the same  "r"  ???

it's the sphere.. if you're really not sure

Answer:

A. 370.58

Step-by-step explanation:

Hope that helps

Answer:

760 people in total

Step-by-step explanation:

Answer:

19.0064

Step-by-step explanation:

Answer:

-4x-1

Step-by-step explanation:

combine 4x and -8x to make -4x and combine -2 and 1 to make -1

Answer:

2x + 3

Step-by-step explanation:

two sides measure (x-1) which gives 2(x-1) or 2x - 2

subtract 2x - 2 from 6x + 4 to get 4x + 6

4x + 6 represents twice the length so divide it in half to get:

2x + 3

Answer:

The perimeter of a rectangle is represented by the expression 6x + 4. If the width of the rectangle is represented by the expression x – 1, which expression represents the length?

Step-by-step explanation:

EDGE 2021

Answer:

The perimeter of triangle MNP is 130 units

Step-by-step explanation:

By the mid segment theorem, we have it that the a side of the smaller inner triangle is 1/2 the measure of the parallel side of the bigger triangle that faces it

This mean RS is half MN, QS is half NP and QR is half MP

Using this, we have it that;

2(x + 4) = 5x - 34

2x + 8 = 5x -34

5x-2x = 34 + 8

3x = 42

x = 42/3

x = 14

So we have RS which is x + 4 as 14 + 4 = 18

The perimeter of the smaller triangle is the sum of its side lengths

We have this as;

22 + 25 + 18 = 65

Furthermore, by the mid segment theorem , the perimeter of the bigger triangle is twice that of the smaller

thus, we have the perimeter of MNP as 2(65) = 130 units

Answer: 5 : 8

Step-by-step explanation:

The ratio of seventh graders to sixth grader on the team is 5 : 3.

Assuming that only seventh and sixth graders are in the team, the total number of chess players at the most simple basis is:

= Number of seventh grade students in ratio + Number of sixth grade students in ratio

= 5 + 3

= 8 students

There are 5 seventh graders so the ratio will be:

= 5 : 8

Note: The chess team will most likely have more than 8 members but the  ratio of seventh graders to total chess players will still be 5 : 8.

Answer:

One hour and nine minutes

Step-by-step explanation:

Step-by-step explanation:

hope it is helpful to you

Answer:

(-1 , 7)

Step-by-step explanation:

To find the midpoint, the equation used is:-

[tex]\frac{x1 + x2}{2} , \frac{y1 + y2}{2}[/tex]

Here, the values are:-

x1 = 1

x2 = -3

y1 = 9

y2 = 5

Substituting these in the equation, we get:-

[tex]\frac{-3 + 1}{2} ,\frac{9+5}{2}[/tex]

[tex]\frac{-2}{2} ,\frac{14}{2}[/tex]

(-1, 7)