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Answer:

Consider the trapezoid ABCD. In this trapezoid BC=a and AD=b.

Since triangles BOC and AOD are somilar, then

[tex] \dfrac{AO}{OC}=\dfrac{DO}{OB}=\dfrac{AD}{BC}=\dfrac{b}{a}. [\tex]

OC/AO = OB/DO = BC/AD=/ba

Triangles OAE and CAB are similar

EO/BC=b/(a+b)

EO=ab/(a+b)

again

OF=ba/(b+a)

and.

EF=2a/(a+b) is arequired length.

Answer:

5 2/10 miles or 5 1/5 miles, if you need to reduce fractions

Step-by-step explanation:

The way they wrote this is kind of confusing. Home to library = 1 3/10 miles. That's halfway to the park, so the distance to the park is 1 3/10 + 1 3/10 = 2 6/10 miles.

Then she had to ride that same distance home, so add

2 6/10 + 2 6/10 = 4 12/10 = 5 2/10

If your teacher has you reduce fractions, then it's 5 1/5 miles.

The number of miles did  marissa ride her bike in all should be 5 2/10 miles or 5 1/5 miles.

Since

She lives 1 3/10 miles from the library.

So here the distance to the park should be

= 1 3/10 + 1 3/10

= 2 6/10 miles.

Now we basically add it

= 2 6/10 + 2 6/10

= 4 12/10

= 5 2/10

hence, The number of miles did  marissa ride her bike in all should be 5 2/10 miles or 5 1/5 miles.

Learn more about miles here: https://brainly.com/question/20930272

Answer:

100 cubic cm

Step-by-step explanation:

5 x 2 = 10

10 x 10 = 100

Answer:

hope it helped have a good day mate

Answer:

4

Step-by-step explanation:

6*4=24

Base=6

Total=24

24/6=4         Height=4

*if iḿ wrong plz tell me

Answer:

Answers: 0.72 and 72%.

Step-by-step explanation:

144/200 and 72/100 and 36/50 and 18/25 are equivalent to 72%.

Step-by-step explanation:

According to pythagoras theorem the square length of hypotenuse is equal to sum of other two sides

n^2 + 19^2 = 15^2

n^2 + 361 = 225 if we subtract 361 from both sides

n^2 = -136 but the root of square cannot be negative

I believe there's a mistake in this question so you should ask your teacher.

Answer:

325

Step-by-step explanation:

i dont know

Answer:

If you substitute the number 2 for x in the problem, you’ll make it true.

6x + 8x = 10x

62 + 82 = 102

36 + 64 = 100

100 = 100

Insert two radical signs into the problem like this to make it true:

5 = 5 √4 + √4 + 4⁄4

5 = 2 + 2 + 1

5 = 5

a. 42 = 4 × 4 = 16

b. 62 = 6 × 6 = 36

c. 132 = 13 × 13 = 169

d. 102 = 10 × 10 = 100

a. 13 = 1 × 1 × 1 = 1

b. 23 = 2 × 2 × 2 = 8

c. 43 = 4 × 4 × 4 = 64

d. 83 = 8 × 8 × 8 = 512

a. 2 × 2

b. 8 × 8 × 8 × 8

c. 12 × 12 × 12

d. 20 × 20 × 20 × 20 × 20

a. 52

b. 74

c. 23

d. 95

a. 33 = 3 × 3 × 3 = 27

b. 142 = 14 × 14 = 196

c. 125 = 12 × 12 × 12 × 12 × 12 = 248,832

d. 90 = 1 (Any number to the zero power equals 1.)

e. 44 = 4 × 4 × 4 × 4 = 256

f. 171 = 17 (Any number to the first power equals itself.)

a. 7.6 × 103

(103 = 1,000 and 7.6 × 1,000 = 7,600)

b. 2.34 × 104

(104 = 10,000 and 2.34 × 10,000 = 23,400)

c. 1.67 × 105

(105 = 100,000 and 1.67 × 100,000 = 167,000)

d. 2 × 109

(109 = 1,000,000,000 and 2 × 1,000,000,000 = 2,000,000,000)

a. 97,000

(9.7 × 10 × 10 × 10 × 10 = 97,000)

b. 700,000

(7 × 10 × 10 × 10 × 10 × 10 = 700,000)

c. 89,700,000

(8.97 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 89,700,000)

d. 32,000,000,000

(3.2 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 32,000,000,000)

a. 4 (4 × 4 = 16)

b. 13 (13 × 13 = 169)

c. 8 (8 × 8 = 64)

d. 20 (20 × 20 = 400)

Step-by-step explanation:

pf

Answer:

1. If you substitute the number 2 for x in the problem, you’ll make it true.

6x + 8x = 10x

62 + 82 = 102

36 + 64 = 100

100 = 100

2. Insert two radical signs into the problem like this to make it true:

5 = 5 √4 + √4 + 4⁄4

5 = 2 + 2 + 1

5 = 5

3. a. 42 = 4 × 4 = 16

b. 62 = 6 × 6 = 36

c. 132 = 13 × 13 = 169

d. 102 = 10 × 10 = 100

4. a. 13 = 1 × 1 × 1 = 1

b. 23 = 2 × 2 × 2 = 8

c. 43 = 4 × 4 × 4 = 64

d. 83 = 8 × 8 × 8 = 512

5. a. 2 × 2

b. 8 × 8 × 8 × 8

c. 12 × 12 × 12

d. 20 × 20 × 20 × 20 × 20

6. a. 52

b. 74

c. 23

d. 95

7. a. 33 = 3 × 3 × 3 = 27

b. 142 = 14 × 14 = 196

c. 125 = 12 × 12 × 12 × 12 × 12 = 248,832

d. 90 = 1 (Any number to the zero power equals 1.)

e. 44 = 4 × 4 × 4 × 4 = 256

f. 171 = 17 (Any number to the first power equals itself.)

8. a. 7.6 × 103

(103 = 1,000 and 7.6 × 1,000 = 7,600)

b. 2.34 × 104

(104 = 10,000 and 2.34 × 10,000 = 23,400)

c. 1.67 × 105

(105 = 100,000 and 1.67 × 100,000 = 167,000)

d. 2 × 109

(109 = 1,000,000,000 and 2 × 1,000,000,000 = 2,000,000,000)

9. a. 97,000

(9.7 × 10 × 10 × 10 × 10 = 97,000)

b. 700,000

(7 × 10 × 10 × 10 × 10 × 10 = 700,000)

c. 89,700,000

(8.97 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 89,700,000)

d. 32,000,000,000

(3.2 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 32,000,000,000)

10. a. 4 (4 × 4 = 16)

b. 13 (13 × 13 = 169)

c. 8 (8 × 8 = 64)

d. 20 (20 × 20 = 400)

Step-by-step explanation:

Answer:

The right answer is  neither

Step-by-step explanation:

I said because Exponential describes a very rapid increase. ... Exponential is also a mathematical term, meaning "involving an exponent." When you raise a number to the tenth power, for example, that's an exponential increase in that number. the part involves exponent is the y part same number multiple to it self to get the next answer  while the x part one specific number to get the next number which is linear but since theyre asking about the relationship it’s neither because both were supposed to have the same relationship linea for x and y or exponential for x and y but they both are different.

Answer:

y = 6

Step-by-step explanation:

3y/2 - 1 = 8

3y/2 = 8 + 1

3y/2 = 9

3y = 9 × 2

3y = 18

y = 18/3

y = 6

Answer:

y = 6

Step-by-step explanation:

[tex]\frac{3y}{2}[/tex] -1 =8

[tex]\frac{3y}{2}[/tex] -1 + 1 =8 +1

[tex]\frac{3y}{2}[/tex] = 9

[tex]\frac{3y}{2}[/tex] × 2 = 9 × 2

3y = 18

3y/3 = 18/3

y = 6

Double check:

[tex]\frac{3(6)}{2}[/tex] - 1 = 8

[tex]\frac{18}{2}[/tex] -1 =8

9 - 1 = 8

8 = 8

Answer: 10

Step-by-step explanation:

Answer:

45°, 45°, 90°

Step-by-step explanation:

the interior angles in a triangle must be 180° and two of the angles must be greater than our equal to the third

Answer:

5x + 7

Step-by-step explanation:

Distribute 3x + 15 + 2x - 8

Combine like-terms 5x + 7

Answer:

5x + 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

3(x + 5) + 2(x - 4)

Step 2: Simplify

Answer:

286.33

Step-by-step explanation:

Answer:

option C

Step-by-step explanation:

option C is the correct answer of this question.

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hey there .. here is ur answer ..

Option D is the right answer as you can see ..

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Answer:

A.

Step-by-step explanation:

Answer:

40800

Step-by-step explanation:

4 weeks = 1 month

So we use,

850 * 4 = 3400 (monthly)

12 months = 1 year

So we use,

3400 * 12 = 40800 (annually)

Answer:

sometimes

Step-by-step explanation:

if those are the options you have then that's the correct answer

Answer:

4,5,6

Step-by-step explanation:

square root of 4²+5²= approximately 6.4

Answer:

it is 69

Step-by-step explanation:

do calculations

Answer:

i believe b if not b im sorry

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

12=x+3

9=x

you set the sides equal to eachother bc they have the same angles!

Answer:

9

Step-by-step explanation:

x + 3 = 12 (both sides of triangle are equal, because angles are equal)

x= 12 - 3

x = 9

Answer:

3x = 24

x/8 = 11

x - 4 = 4

x + 2 = 10

The height and side of the box for the maximum volume are 20 feet and 10 feet respectively.

Area is the amount of space occupied by a two-dimensional figure.

The area of square is the product of the length of each side with itself.

[tex]A = a^{2}[/tex]

Where,

A is the area of square

a is the length of the side of square

Volume is the measure of the capacity that an object holds.

volume = length × breadth × height

According to the given question

We have

A box with the open top and square base.

Let x be the side of the box. And h be the height of the box

Also, the cost of material for the base is $8 and for side is $2 per square foot.

The total cost of material for the box is $2400

⇒[tex]8x^{2} + 4(2xh) = 2400[/tex]

⇒ [tex]8x^{2} + 8xh = 2400\\[/tex]

⇒[tex]x^{2} + xh = 300[/tex]

⇒ [tex]h = \frac{300-x^{2} }{x}[/tex]

Therefore,

volume of the box

[tex]= x^{2} h[/tex]

= [tex]x^{2} \frac{3000-x^{2} }{x}[/tex]

= [tex]x(300-x^{2} )[/tex]

= [tex]300x - x^{3}[/tex]

for the maximum volume,[tex]\frac{d}{dx}(v)=0[/tex]

⇒ [tex]300 - 3x^{2} =0[/tex]

⇒[tex]300 = 3x^{2}[/tex]

⇒ [tex]x^{2} =100[/tex]

⇒ x = ± 10

⇒ x= 10 feet  (x = -10 not possible)

So, h = [tex]\frac{300-100}{10} = 20feet[/tex]

Hence, the height and side of the box for the maximum volume are 20 feet and 10 feet respectively.

Learn more about volume here:

https://brainly.com/question/1578538

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Answer:

A. There are 8 seventh grade students

B. There are 14 total questions on the test

Step-by-step explanation: