For the right triangles below, find the exact values of the side lengths b and d.

If necessary, write your responses in simplified radical form.

60°

30°

5

b

=b

45°

45°

d

7

=d

Answer: If your doing the ratio of boys to girls, it would be 6:14. Simplified- 3:7

Step-by-step explanation:

The factors of 6-1,2,3,6

The factors of 14-1,2,12,14

The common factor of the two #’s is 2 so you would divide both of them by that number. 3 and 7 are prime numbers so you can’t simplify the ratio anymore.

Answer:

x= -36

Step-by-step explanation:

Hope this helps.

Answer:

[tex]x = -36[/tex]

Step-by-step explanation:

Solve for [tex]x[/tex] :

[tex]10x + 36 = 8x - 36[/tex]

-Subtract [tex]8x[/tex] from [tex]10x[/tex] :

[tex]10x - 8x + 36 = 8x - 8x - 36[/tex]

[tex]2x + 36 = -36[/tex]

-Subtract both sides of the equation by [tex]36[/tex] :

[tex]2x + 36 - 36 = -36 -36[/tex]

[tex]2x = -72[/tex]

-Take [tex]2x[/tex] divide it on both sides:

[tex]\frac{2x}{2} = \frac{-72}{2}[/tex]

[tex]x = -36[/tex]

So therefore, the value of [tex]x[/tex] is [tex]-36[/tex].

Answer:

$24.400

Step-by-step explanation:

it means you should round to hundredth place

$24.37

Answer:

Sqrt(7) is irrational because 7 is not a perfect square.

7.1234... is irrational because it is a nonterminating nonrepeating decimal.

Step-by-step explanation:

A rational number is a number that can be expressed in terms of fractions which result in terminating decimals, repeating decimals, or integer values.

An irrational number is a number that cannot be expressed in terms of fractions resulting in nonrepreating nonterminating decimals.

All options other than the two selected do not make sense.  Pi is irrational because it is a nonrepeating nonterminating decimal.

Cheers.

Answer:

2 quarts of 100% antifreeze.

Step-by-step explanation:

5 quarts/ .40 * x/ 1

.40x= 5

x=2

2 quarts of pure antifreeze must be added to 5 quarts of a 40​% antifreeze solution to obtain a 50​% antifreeze​ solution.

Looking at the concentrations.

100% of x quarts is x quarts of antifreeze.

30% of 5 quarts is .3(5) quarts antifreeze.

Adding that we have 5+x quarts and we want

50% of that to be antifreeze so the total is

.5(x + 5)

x + .3(5) = .5(5+x)

x + 1.5 = 2.5 + .5x

x - .5x = 2.5 - 1.5

.5x = 1

x = 1/.5 = 2 quarts pure antifreeze.

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Answer:

440 I think haven't done these questions in a while.

Answer:

7.5 cups pf rice

Step-by-step explanation:

45 divided by 6

It is 2.1 km from Mary's house to the nearest mailbox.

How far is it in metres.

1 km = 1,000 m

2 km = 2 × 1,000 = 2,000 m

2.1 km = ( 2,000 + 100 ) m = 2,100 m

2,100 m

Therefore, It is 2,100 metre far away from Mary's house.

Answer:

9.93g/cb cm

Step-by-step explanation:

Density = mass/volume

= 30g/3.02cb cm

= 9.93g/cb cm

Answer:

x=2

Step-by-step explanation:

use distributive property for the first part the solve like usual

hope this helped

6(2x -3) - 8 = -2 (remove the parantheses)

12x - 18 - 8 = -2 (calculate)

12x - 26 = -2 (move the constant to the right)

12x = -2 + 26 (calculate)

12x = 24 (divide both sides)

x = 2

Answer:

amount spend on groceries = 82.80

percent spend in groceries = 15%

let total paycheck be x

15%of x= 82.80

x=552

percent spend on bills = 132.48/552 = 24%

Step-by-step explanation:

Answer:

The first 3 is in the thousandths place. it is worth 3 thousand. The second 3 is in the tenths place. It is worth 30.

Answer: 3,435

Least place value to largest largest place value-

5-ones place

3-tens place

4-hundreds place

3-thousands place

I hope that worked!

Answer:

u can figure it out by using the formula 1/2 the base x height

Step-by-step explanation:

Answer:

to find the area of a triangle you will do A(area)=h(height)times b(base) over 2

Answer:

see below

Step-by-step explanation:

given:

LCM(a,b) = 20160, a=60

find:

smallest possible value of b

solution;

60, b = 20,160

b = 20,160 / 60

b = 336

60 x 336 = 20,160

= 2⁶ x 3² x 5 x 7

= (2² x 3 x 5) x (2⁴ x 3 x 7)

= (60) x (336)

LCM(60,336) = 1680

consider the 2² x 3 to get the prime number:

= 336 x 12

= 4032

therefore,

LCM(60,4032) = 20160

The smallest possible value of b is 336.

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

We have been given that

LCM(a,b) = 20160 and  a = 60

We have to determine the smallest possible value of b

Since the product of two numbers equals the product of their HCF and LCM.

⇒ 60 × b = 20,160

⇒ b = 20,160 / 60

⇒ b = 336

⇒ 60 × 336 = 20,160

We need to write 20160 as the product of its prime factors, which is 20160.

⇒ 2⁶ × 3² × 5 × 7

⇒ (2² × 3 × 5) x (2⁴ × 3 × 7)

⇒ (60) × (336)

⇒ LCM(60,336) = 1680

Therefore, the smallest possible value of b is 336.

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Answer:

c. 625.91

Step-by-step explanation:

took the quiz an got 100%

The starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.

The full name of APR is the annual percentage rate. It is defined as the percentage rate applied on the borrowing money in the form of interest, but APR has applied annually.

We have:

His card has a billing cycle of 30 days and an APR of 14.75%.

Here the list data is not mentioned, clearly. Transactions with the amount.

As we know, the APR is the annual percentage rate, which is 14.75%.

Monthly percentage rate = 14.75/12 = 1.22%

But we can calculate the new balance with the formula:

Previous Balance + Finance Charge + New Purchases - (Payments + Credits) = New Balance

Thus, the starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.

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Answer:

-5 > x

Step-by-step explanation:

-80>16x

Divide each side by 16

-80/16>16x/16

-5 > x

Answer:

61.37

Step-by-step explanation:

this is i believe the correct answer but i could still be wrong cause x times x is x square but i am not so sure how much that really matters

take x as the width

x plus 10 as the length

2x plus 10 equals 7544 squared

so square root 7544 minus 10 divided by 2

note that it must be done all at once u cant do it seperately

x is 61.37 dont forget to add 10

Answer:

27 - 50k

Simplify

1. Distribute

-5 ( 1 + 2k ) - 8 ( -4 + 5k )

-5 - 10k - 8 ( -4 + 5k )

2. Distribute

-5 - 10k - 8 ( -4 + 5k )

-5 - 10k + 32 - 40k

3. Add the numbers

-5 - 10k + 32 - 40k

27 - 10k - 40k

4. Add the same term to both sides of the equation

27 - 10k - 40k

27 - 50k

Answer:

-45.

Step-by-step explanation:

I am assuming you mean

√25 - 2(3 +4(-2))^2

= 5 - 2(3-8)^2

= 5 - 2 * (-5)^2

= 5 - 2*25

= -45.

Answer: True, False, False, True, False

Step-by-step explanation:

Since the two quadrilaterals are similar, for question A your answer of True is correct since EF would scale to be twice as long as AB. For the second question the reverse logic applies. For Question C EH is 16 units since 8x2 is 16. For the last question, since BCD does not corresponds to GFE, it is false. Angle BCD has a vertex at point C and GFE has a vertex at point F. Since C does not correspond to F, the angles are not the same.

Answer:

2,500

Step-by-step explanation:

Average Speed = Total Distance / Total Time

Total Distance = 150 m

Total Time = 160 - 120 = 40 s

Average Speed

Average Speed = 150/40

Average Speed = 3.75 m/s

3.75 m/s

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{height = 7.13 \: m}}}}}[/tex]

Step-by-step explanation:

Area of a triangle ( A ) = 9.45 m²

Base of a triangle ( b ) = 2.65

Height of a triangle ( h ) = ?

Finding the height of a triangle

[tex] \boxed{ \sf{area \: of \: a \: triangle = \frac{1}{2} bh}}[/tex]

[tex] \dashrightarrow{ \sf{9.45 = \frac{1}{2} \times 2.65 \times h}}[/tex]

[tex] \dashrightarrow{ \sf{9.45 = 1.325h}}[/tex]

[tex] \dashrightarrow{ \sf{1.325h = 9.45}}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{1.325 \: h}{1.325} = \frac{9.45}{1.325}}} [/tex]

[tex] \dashrightarrow{ \sf{h = 7.13 \: m}}[/tex]

Hope I helped!

Best regards! :D

Answer:

478 hours

Step-by-step explanation:

You would divide 239,000 by 500.

Answer:

272

Step-by-step explanation:

Do you need this?

Answer:

272

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-3 is greater than -4 on the number line but less than -2 on the number line. Therefore, the number is -3

hope I helped.

Answer:

6^-2 =0.02777777777

Step-by-step explanation:

Answer:

(3+2)²*4-10=x

Step-by-step explanation:

If it was a typo and is actually times 4, not divided by 4, then here is the answer:

(3+2)²*4-10=x

5²*4-10=x

25*4-10=x

100-10=x

90=x

If it actually was divided by 4, I don’t see any way it can be done.

Answer:

B

Step-by-step explanation:

(3+2)²*4-10=x