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Answer:

it is 679

Step-by-step explanation:

Answer:

5: 40.6

6: 26.57

7: 22.21

8: 66.35

Step-by-step explanation:

I am going to assume that you know

SOH CAH TOA (if you don't just ask)

For 5: we have the adjacent and opposite side, we need the angle

I think here it's easiest to use TOA

so we have

tanx=60/70

take the arctan or tan^-1 and get

arctan(60/70)=x x= 40.6

For number 6 it's just the same deal

tanx=10/20

arctan(10/20) =x =26.57

For number 7 we have the adjacent side and we need to find the oppsoite side

for this I will once again use TOA

tan(48)=x/20

20tan(48)=x=22.21

For number 8 it's the same deal as 7

tan53=x/50

50tan53=x=66.35

Answer:

1)increase

2)50%

Explanation:

Use the formula↓

(y2 - y1) / y1)*100

(150 - 100) / 100) * 100 = 50 %

y1= first value

y2= second value

Answer:

24

Step-by-step explanation:

Answer:

Restaurant A: 31 grams of fat

Restaurant B: 25 grams of fat

Step-by-step explanation:

[tex]x + (x + 6) = 56\\2x + 6 = 56\\2x = 50\\x = 25[/tex]

Answer:

length of rope [tex](P+3) =12.167[/tex]

Step-by-step explanation:

From the question we are told that

Length of rope on Ground [tex]L_1=3 feet[/tex]

Length of rope from pole base when stretched [tex]L_2=8feet[/tex]

Given length of pole as P

length of the rope is therefore given by

[tex]P+3[/tex]

Generally the Pythagoras theorem is mathematically given by

[tex]P^2+8^2=(P+3)^2[/tex]

[tex]P^2+64=P^2+9[/tex]

[tex]P=9.167[/tex]

Therefore

length of rope [tex]P=9.167[/tex]

length of rope [tex](P+3) =9.167+3[/tex]

length of rope [tex](P+3) =12.167[/tex]

Answer:

area of rectangle =length ×width

area of rectangle=12yd×15yd

area of rectangle=180yd²

Answer:

12.7=x

Step-by-step explanation:

y=mx+b

10=.65x+1.75

-1.75       -1.75

8.25=.65x

.65     .65

12.69=x round up

12.7=x

Answer:

[tex]P(Pink) = \frac{1}{4}[/tex]

[tex]P(Both\ Black) = \frac{9}{16}[/tex]

[tex]Probability = \frac{3}{64}[/tex] --- Two pink and One black

Step-by-step explanation:

Represent the pink skin with P and the black skin with B.

Since black skin is dominant to pink skin, there will be more occurrence of B than P

The punnet square for the breeding of the two pigs is then represented as:

[tex]\begin{array}{cc} {B} & {B} \ \\ {B} & {P} \ \ \end{array}[/tex]

Solving (a): Probability of Pink

In the above square, there is only 1 occurrence of P out of a possible of 4.

So, the probability is:

[tex]P(Pink) = \frac{n(P)}{4}[/tex]

[tex]P(Pink) = \frac{1}{4}[/tex]

Solving (b): Probability that first and second are black

In the above square, there is only 3 occurrence of B out of a possible of 4.

[tex]P(Black) = \frac{n(B)}{4}[/tex]

[tex]P(Black) = \frac{3}{4}[/tex]

So, the probability that both are black is:

[tex]P(Both\ Black) = P(Black) * P(Black)[/tex]

[tex]P(Both\ Black) = \frac{3}{4} * \frac{3}{4}[/tex]

[tex]P(Both\ Black) = \frac{9}{16}[/tex]

Solving (c): Probability of two pink and 1 black

This is calculated as:

[tex]Probability = P(Pink) * P(Pink) * P(Black)[/tex]

[tex]Probability = \frac{1}{4} * \frac{1}{4} * \frac{3}{4}[/tex]

[tex]Probability = \frac{3}{64}[/tex]

A) The probability that their offspring will have pink skin is; ¹/₄

B) The probability that the first and second off- spring will have black skin is;

9/16  or 56.25%

C) The probability that two will be pink and one will be black  If the pigs produce a total of three piglets is; ³/₆₄ or 4.6875%

To answer this question, we need to first understand Mendel's law of dominance. This law states that in a heterozygote, one trait will conceal the presence of another trait for the same characteristic. This means that the dominant trait always conceal the recessive trait.

Now in this question, we are told that;

Let's denote the black color gene by ‘P’ and pink colour by ‘p’. Therefore, if cross is held between these two genes then according to mendel's law, the heterozygous pigs is specified as "Pp"

Now when the heterozygous pigs specified as "Pp" are crossed, we have;

Pp × Pp = PP, Pp, Pp, pp

where;

(a) From the 4 cross possibilities above;

Probability that their offspring will have pink skin = ¹/₄

(b) From the 4 cross possibilities gotten earlier;

Probability that their offspring will have black skin = ³/₄

Thus;

Probability that the first and second off- spring will have black skin is;

³/₄ × ³/₄ = 9/16  or 56.25%

(c) We are told that the pigs produced a total of three piglet. Thus, the probability that two will be pink and one black will be black is;

P(2 pink and 1 black) =   ¹/₄ × ¹/₄ × ³/₄ = ³/₆₄ or 4.6875%

Read more about Mendel's law of dominance at; https://brainly.com/question/14436268

Answer: 2430 bacteria.

Step-by-step explanation:

When we have a quantity A, and we have an increase of the X%, the new quantity can be written as:

A + (X%/100%)*A

In this case, we have A = 10 bacteria.

And X% = 200%.

Then if we start with 10 bacteria.

After one day, we will have:

10 bacteria  + (200%/100%)*10 bacteria

= 10 bacteria + 2*10 bacteria = 3*10 bacteria.

After another day, we will have:

3*10 bacteria + (200%/100%)*(3*10 bacteria)

3*10 bacteria  + 2*(3*10 bacteria)

3*(3*10 bacteria)

10 bacteria*(3)^2

We already can see the pattern here.

After t days, we will have:

10 bacteria*(3)^t.

This is the equation f(t) we wanted:

f(t) =10 bacteria*(3)^t

after 5 days, we will have:

f(5) = 10 bacteria*(3)^5 = 2430 bacteria.

Answer: 5/28 left to mow

Step-by-step explanation:

How much is left means we have to subtract the fractions.  The easiest to do is subtract using the larger fraction first which is 3/7.

3/7 - 1/4

Since you have unlike terms in your denominator, look for that one common factor that can divide into 7 and 4, the numbers in your denominator.  In this case there is no common factor, so you have to multiply the 2 numbers in your denominator to get the common factor that would be 7 x 4=28.  28 is new the common factor you will use for each denominator. Now we have to make adjustments to the numerator:

3/7 becomes 12/28 because you have to say to yourself how many times 7 in your oringinal denominator go into 28, your new denominator, which=4.  Now you multiply that 4 by the numerator 3 and that would =12 now you have 12/28.  For the 1/4, it becomes 7/28 because you have to say to yourself how many times 4 go into 28 which =7.  Now multiply 7 by the numerator 1 which =7.  Now you have 7/28. Now you can subtract and solve for your answer:

3/7 -1/4 converted to:

12/28 - 7/28  subtract numerators 12-7 and keep the same denominator

Ans: 5/28 left to mow

Answer:

Step-by-step explanation:

given function:

[tex] \quad \rm\: f(x) = - 2x +8[/tex]

when x is 0

[tex] \sf \:f(0) = - 2.0 + 8[/tex]

simplify multiplication:

[tex] \sf f(0) = 8[/tex]

when x is 3

[tex] \sf f(3) = - 2.3 + 8[/tex]

simplify multiplication:

[tex] \rm \: f(3) = - 8 + 8[/tex]

add:

[tex] \rm \: f(3) = 0[/tex]

when x is 6

[tex] \quad \rm\: f(6) = - 2.6 +8[/tex]

simplify multiplication:

[tex] \quad \rm\: f(6) = - 12 +8[/tex]

simplify addition:

[tex] \quad \rm\: f(6) = -4[/tex]

when x is 9:

[tex] \quad \rm\: f(9) = - 2.9 +8[/tex]

simplify multiplication:

[tex] \quad \rm\: f(9) = - 18 + 8[/tex]

simplify addition:

[tex] \quad \rm\: f(9) = - 10[/tex]

Answer:

when x =0

f(x)=-2×0+8=8

when x =3

f(x)=-2×3+8=2

when x =6

f(x)=-2×6+8=-4

when x =9

f(x)=-2×9+8=-10

Answer:

His school is 1.5 miles away :)

Step-by-step explanation:

6/4 = 1.5 miles

1.5 miles means his house is 1.5 miles from his school

Check the answer (1.5 times 3) = 4.5 miles so his job is 4.5 miles away.

4.5 + 1.5 = 6 miles

The distance between Salvador's house and his school is 1.5 miles

Let :

Therefore;

Then ;

Since, house is in between job and school :

The distance from house to school = d ; hence, distance between his house and school is 1.5 miles.

Learn more : https://brainly.com/question/8018593?referrer=searchResults

Just see what even number 52 can go into

Answer:

A odd # is 3.5.7 and etc such that you have odd numbers

Answer:

x = 24 in

Step-by-step explanation:

The corresponding  sides of similar triangle will be in same proportion.

[tex]\frac{x}{8}=\frac{15}{5}\\\\\frac{x}{8}=3\\\\x = 3*8\\x = 24[/tex]

Step-by-step explanation:

x/15 = 8/5

x = 15 * 8 / 5

x = 24

answer

x = 24 in

Answer:

-4,-5

Step-by-step explanation:

Looking at the system of equations, I can't see any way to add the equations together to eliminate a variable. So, I decided to use substitution. First, I created 2 new equations, x = -24 - 4y and Y=2X+3 by rewriting each equation to solve for x and y. Now, I can take one of these equations and insert it in the opposite equation and solve for a variable.

4(-24 - 4y) - 2y = -6

-96 -16y -2y = -6

-18y = 90

y = -5

Now, I can just insert this in one of my equations and solve for x, and get my solution, which gets me x = -4

Answer:

$549

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 3050 × 0.06 × 3 = 549

I = $ 549.00

The simple interest accumulated

on a principal of $ 3,050.00

at a rate of 6% per year

for 3 years is $ 549.00.

Answer:

I’m pretty sure 549

Step-by-step explanation:

160 and 162 and 164

Step-by-step explanation:

To find the three even integers, use the equation

x + (x + 2) + (x + 4) = 486

Then solve:

Add the common terms (the xs and numbers)

3x + 6 = 486

Subtract the 6 from both sides

3x = 480

Then divide

x = 160

So 160 + (160 + 2) + (160 + 4) = 486

160 + 162 + 164 = 486

So your three consecutive even integers are

Answer:

28 and 32 or B And C

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

If:

a=15

b=20 then

c (hypotenuse)=25

Answer:

No

Step-by-step explanation:

A right angle is always 90°

u add up all the sides, if it doesn't equal 90 then it's not a right triangle.

so 15 + 20 + 24 = 59 so this is not a right triangle.  

Answer:

2) 25.48

The diameter of the circle     d = 25.48                

Step-by-step explanation:

Step(i):-

we know that the diameter of a circle  d = 2 r

The circumference of the circle = 2π r

Given that the circumference of the circle = 80 feet

Step(ii):-

 The circumference of the circle = 2π r = 80

                                ⇒ π (2r )= 80

                               ⇒  πd = 80

                               ⇒ [tex]d = \frac{80}{3.14}[/tex]

                                  d = 25.477

Final answer:-

The diameter of the circle     d = 25.477                                

Answer:

A rational number is any number that can be expressed as a ratio of two integers (hence the name "rational"). ... For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi (π) is irrational since it cannot be written as a fraction

Step-by-step explanation:

91, 49, 48, 8 are rational number

Answer:

The inequality f ≥ 4n +2 is true for all values of 'f'

Step-by-step explanation:

Explanation:-

Let 'f'  represents any number

The set of even integers greater than '4'

f = { 6, 8, 10,12, 14 ,.............}

we have to write the inequality equation

f ≥ 4n +2

Final answer:-

The inequality f ≥ 4n +2 is true for all values of 'f'

Answer:

Step-by-step explanation:

You would have to divide 34.5 and 5 to be able to find out what each pencil measurement the answer is 6.9.

Answer:

Step-by-step explanation:

Area:=45