Find the surface area of the square pyramid. A) 80 in2 B) 105 in2 C) 160 in2 D) 210 in2

Answer:

m∠3 = 119°

Step-by-step explanation:

All the angles must equal 360° when added together. You have two known angles that are right next to each other. If you add m∠1 and m∠2, 119 + 61, it is equal to 180°. This means that m∠3 and m∠4 must be equal to 180° as well and since there are only two lines, it is safe to assume that opposing angles are the same so m∠1 = m∠3 and m∠2 = m∠4.

Answer:

K12 answer

Step-by-step explanation:

Answer:

w = 1/4

Step-by-step explanation:

Distribute:

-3w + 9 - 9w -9 = 4w + 8 -12

Combine like terms:

-16w = -4

w = 1/4

Answer:

w=1/4

Step-by-step explanation:

-3w+9-9w-9=4w+8-12

-12w=4w+8-12

-12w=4w-4

-12w-4w=-4

-16w=-4

w=-4/-16

w=1/4

Answer:

coefficient

Step-by-step explanation:

it has three terms

         Rate of interest by which amount $181.25 becomes $1450 in 7 years by continuous compounding will be 29.71%.

         Final amount = [tex]Pe^{rt}[/tex]

         Here, P = Principal amount

                    r = Rate of interest

                    t = Duration of investment

Given in the question,

P = $181.25

t = 7 years

Final amount = $1450

Substitute these values in the expression,

[tex]1450=181.25e^{7r}[/tex]

[tex]e^{7r}=8[/tex]

[tex]\text{ln}(e)^{7r}=\text{ln}(8)[/tex]

[tex]7r=2.07944[/tex]

[tex]r=0.2971[/tex]

[tex]r=29.71\%[/tex]

       Therefore, rate of intereset for the investment is 29.71%.

Learn more about continuous compounding here,

https://brainly.com/question/13079114?referrer=searchResults

Answer:

24÷8=3

Step-by-step explanation:

because 24÷8=3

Answer:

x=-1

Step-by-step explanation:

1/4x+1/2=2/4x+3/4

1/4x+2/4=2/4x+3/4

2/4=(2/4x-1/4x)+3/4

2/4=1/4x+3/4

2/4-3/4=1/4x

-1/4=1/4x

-1=x

x=-1

Answer:

2 + 3 = 5

Step-by-step explanation:

ones Place Value

2 + 3 = 5

Put the 5 in Ones place

carry  

 2

+  3

= 5

Answer:

Step-by-step explanation:

This is a geometric sequence; we know that because of the words "common ratio."  The general formula for a geometric sequence is

a(n) = a(1)*r^(n - 1), where r is the common ratio.

Here, a(1) = 1, r = 1/3, and so

a(1) = 1 (given)

a(2) = 1/3 (this is a(1) multiplied by 1/3)

a(3) = 1/9 (this is a(2) multiplied by 1/3)

a(4) = 1/27

a(5) = 1/81

Answer:

Answer: The volume of the soup can is less that that of the pan, so the soup will fit in the pan.

Step-by-step explanation:

a. V = s3

V = (7 km)3

V = 7 km × 7 km × 7 km

V = 343 km3

b. V = s3

V = (11 yd.)3

V = 11 yd. × 11 yd. × 11 yd.

V = 1,331 km cu. yd.

a. V = l × w × h

V = 6 m × 2 m × 3 m

V = 36 m3

b. V = l × w × h

V = 5 ft. × 10 ft. × 8 ft.

V = 400 cu. ft.

a. V = πr2h

V = 3.14 × (3 in.)2 × 3 in.

V = 3.14 × 9 sq. in. × 3 in.

V = 84.78 cu. in.

b. V = πr2h

V = 3.14 × (1 m)2 × 4 m

V = 3.14 × 1 m2 × 4 m

V = 12.56 m3

V = s3

V = (2 ft.)3

V = 2 ft. × 2 ft. × 2 ft.

V = 8 cu. ft.

Answer: The capacity of the ice chest is 8 cubic feet.

V = πr2h

V = 3.14 × (1 ft.)2 × 3 ft.

V = 3.14 × 1 sq. ft. × 3 ft.

V = 9.42 cu. ft.

Answer: The volume of the trash can is 9.42 cubic feet.

Closet #1

V = l × w × h

V = 4 ft. × 5 ft. × 8 ft.

V = 160 cu. ft.

Closet #2

V = l × w × h

V = 6 ft. × 3 ft. × 8 ft.

V = 144 cu. ft.

Compare the size of the closets

160 cu. ft. > 144 cu. ft.

Answer: The first closet is larger.

Both the can and the pan are cylindrical shapes. Compare the volumes of the two objects.

Volume of Can

V = πr2h

V = 3.14 × (1.5 in.)2 × 5 in.

V = 3.14 × 2.25 sq. in. × 5 in.

V = 35.325 cu. in.

Volume of Pan

V = πr2h

V = 3.14 × (4 in.)2 × 3 in.

V = 3.14 × 16 sq. in.× 3 in.

V = 150.72 cu. in.

35.325 cu. in. soup can < 150.72 cu. in pan

Answer: The volume of the soup can is less that that of the pan, so the soup will fit in the pan.

Answer:

1.

a. V = s3

V = (7 km)3

V = 7 km × 7 km × 7 km

V = 343 km3

b. V = s3

V = (11 yd.)3

V = 11 yd. × 11 yd. × 11 yd.

V = 1,331 km cu. yd.

2.

a. V = l × w × h

V = 6 m × 2 m × 3 m

V = 36 m3

b. V = l × w × h

V = 5 ft. × 10 ft. × 8 ft.

V = 400 cu. ft.

3.

a. V = πr2h

V = 3.14 × (3 in.)2 × 3 in.

V = 3.14 × 9 sq. in. × 3 in.

V = 84.78 cu. in.

b. V = πr2h

V = 3.14 × (1 m)2 × 4 m

V = 3.14 × 1 m2 × 4 m

V = 12.56 m3

5.

V = s3

V = (2 ft.)3

V = 2 ft. × 2 ft. × 2 ft.

V = 8 cu. ft.

Answer: The capacity of the ice chest is 8 cubic feet.

V = πr2h

V = 3.14 × (1 ft.)2 × 3 ft.

V = 3.14 × 1 sq. ft. × 3 ft.

V = 9.42 cu. ft.

Answer: The volume of the trash can is 9.42 cubic feet.

Closet #1

V = l × w × h

V = 4 ft. × 5 ft. × 8 ft.

V = 160 cu. ft.

Closet #2

V = l × w × h

V = 6 ft. × 3 ft. × 8 ft.

V = 144 cu. ft.

Compare the size of the closets

160 cu. ft. > 144 cu. ft.

Answer: The first closet is larger.

Both the can and the pan are cylindrical shapes. Compare the volumes of the two objects.

Volume of Can

6.

V = πr2h

V = 3.14 × (1.5 in.)2 × 5 in.

V = 3.14 × 2.25 sq. in. × 5 in.

V = 35.325 cu. in.

Volume of Pan

V = πr2h

V = 3.14 × (4 in.)2 × 3 in.

V = 3.14 × 16 sq. in.× 3 in.

V = 150.72 cu. in.

35.325 cu. in. soup can < 150.72 cu. in pan

Answer: The volume of the soup can is less that that of the pan, so the soup will fit in the pan.Step-by-step explanation:

Answer:

The area of this shape can not be solved using the information given

Step-by-step explanation:

There is no given side length of any of the shapes.

If one side is given then the whole shape could be solved.

Answer:

40

Step-by-step explanation:

solve for two squares. Square 1: 32. Square 2: 8. answer: 32 + 8

Step-by-step explanation:

rectangle

= 15.3 × (8.2 - 5.7 )

= 15.3 × 2.5

= 38.25

triangle

= 1/2 × (15.3 - 5.1+6.7) × 5.7

= 1/2 × 3.5 × 5.7

= 1/2 × 19.95

= 9, 97

total = 38.25+9.97 = 48.22 ft

Answer:

4   bc it is simple math

Step-by-step explanation:

pls give brainliest

Answer:

L²=(3-0)²+(4-0)²

L²=9+16

L²=25

L=5units

Answer:

C.)

Step-by-step explanation:

every other customer at all the convenience stores in Springville that stock both brand A and brand B

Answer:

regroup

Step-by-step explanation:

Answer:

im confused about the question too

Step-by-step explanation:

sorry ;(

Answer:

14.4

Step-by-step explanation:

Answer:

c=45 +679 =6y=8h

Step-by-step explanation:

Answer:

A because 6.75 - 5.25 is 1.5

Answer:

AC = 6.7

Step-by-step explanation:

If this is a 90 degree triangle which I am assuming it is you would the Pythagorean theorem c^2 = a^2 + b^2 since bc seems long I am using that as the hypotenuse.

9^2 = 6^2 + b^2

81 = 36 + b^2

81-36 = b^2

45 = b^2

6.7 = b

so AC = 6.7

Answer:

K=7

Step-by-step explanation:

hope it helps you

have a wonderful day!!!

Answer:

40

Step-by-step explanation:

I believe that should be right

Answer:

90°

Step-by-step explanation:

Answer:

c the ratio of shots made to shots taken if 7 out of 12 shots taken are made

E the ratio of small dogs to big dogs if there are 7 small dogs and 12 big dogs

Step-by-step explanation:

Ratio of a to b:

The ratio of a to b is given by a divided by b.

A the ratio of shells to rocks if there are 7 rocks and 12 shells

12 shells and 7 rocks, so this ratio is 12 to 7.

B the ratio of shoes to dresses if there are 7 dresses and 12 shoes

12 shoes and 7 dresses, so this ratio is 12 to 7.

c the ratio of shots made to shots taken if 7 out of 12 shots taken are made

7 shots made out of 12 taken, so this ratio is 7 to 12, and c is one of the correct options.

D the ratio of sick patients to total patients if there are 7 sick patients and 12 healthy patients

7 sick patients

7 + 12 = 19 total patients

So this ratio is 7 to 19

E the ratio of small dogs to big dogs if there are 7 small dogs and 12 big dogs

7 small dogs and 12 big dogs, so this ratio is 7 to 12, and e is the other correct option.

Answer:

3s+7.99= 71.83 .

Step-by-step explanation:

since there are 3 shirts you would multiply s by 3 so 3s. To me it looks like 7.99 is the constant and 71.83 is the total including this constant. so putting all of these together in  y=mx+b format you get the equation 71.83= 3s+7.99

hope this helps