If 1 + 2 = 1, 2 + 3 = 2, 3 + 4 = 3, 4 + 5 = 4, … 50 + 51 = 50 and 51 +
1 = 51, then what is the sum of 1, 2, 3, … , 51?

rhombus opposite sides are equal.

So, CD = 15

Answer:

1,044

Step-by-step explanation:

Answer:

Step-by-step explanation:

1044

Hiii :))

Answer is in the attachment.

Identity used :-

1) cosec² α = 1 + cot² α

Trigonometric Ratio :-

1) cot 30° = √3

_____

Reddam is an expensive school, right?

RainbowSalt2222 ☔

Answer:

hello :-D

Step-by-step explanation:

If there initially 12 grams of the substance, 5.35 grams will remain after 3 hours

The initial amount, a = 12 grams

The amount after 2 hours, y = 7 grams

Time taken, x = 2 hours

First, let us calculate the decay constant, b

The formula for the final value of an exponential decay is:

[tex]y=a(1-b)^x[/tex]

Substitute y = 12, a = 7, and x = 2 into the equation to solve for b

[tex]7=12(1-b)^2\\\\\frac{7}{12} = (1-b)^2\\\\0.583=(1-b)^2\\\\\sqrt{0.583} = 1 - b\\\\0.764=1-b\\\\b=1-0.764\\\\b=0.236[/tex]

The decay constant, b = 0.236

After 3 hours:

Substitute x = 3, a = 12, and b = 0.236 to solve for y

[tex]y=a(1-b)^x\\\\y=12(1-0.236)^3\\\\y = 5.35[/tex]

Therefore, 5.35 grams will remain after 3 hours

Learn more here: https://brainly.com/question/25547758

Answer:

Both of the angles will add up to 180 degrees so let’s make an equation.

5x-5+2x+10=180

First we collect like terms

5x+2x-5+10=180

Add them up

7x+5=180

Move the constant to the right

7x=180-5

7x=175

7x/7=175/7

x=25

So yes it’s true x=25.

Now we find the respective angles,

5x-5

5(25)-5

125-5

120

So angle one is 120 degrees.

2x+10

2(25)+10

50+10

60

So angle two is 60 degrees.

Now to check,

120+60=180

Step-by-step explanation:

Answer:

7x

Step-by-step explanation:

(5.2 + 6.8)x - (25 ÷ 5)x

12x-(25divied by 5)x

12x-5x

7x

Answer is -9 litterly just take a postive and make it into a negative

1 ) 4 × 11 = 44 yd

____________________

2) 4 × 2 = 8 ft

____________________

3) 4 × 4 = 16 in

____________________

4) 4 × 6 = 24 ft

____________________

5) 4 × 18 = 72 in

____________________

6) 4 × 5 = 20 yd

____________________

7) 4 × 9 = 36 in

____________________

8) 4 × 13 = 52 yd

____________________

9) 4 × 10 = 40 ft

Answer:

I am good, but not for peremiter

Step-by-step explanation:

Answer: 4 1/4 hours

Explanation: 2.5 + 1.75 = 4.25

4.25 = 4 1/4

Answer:

➟ Two triangles are similar then ratio of their corresponding sides are equal.

(Option 3 is correct)

★ Criteria for similarity of two triangles

i.) Their corresponding angles are equal.

ii.) Their corresponding sides are proportional.

∆ABC ~ ∆DEF only if

∠A = ∠D

∠B = ∠E

∠C = ∠F

and

AB/DE

BC/EF

CA/FD

[ Some theorems ]

AAA - similarity

AA - similarity

SSS - similarity

SAS - similarity

Step-by-step explanation:

Answer:

Step-by-step explanation:

8^4  is the same as 8·8·8·8

The exponent 4 means that 8 will be multiply by itself four time.

Answer:

4096

Step-by-step explanation:

hope this helps=)

Answer:

1221

Step-by-step explanation:

here you go ...........

The box and whiskers plot visually presents the ages of the 12

Reasons:

The five number summary from the box and whiskers plot is presented as follows;

Minimum value = 7.5

Maximum value = 50

Lower quartile, Q₁ = 15

Upper quartile, Q₃ = 40

Median, Q₂ = 32.5

The first quartile is equivalent to the 25th percentile

Therefore, given that the age 15 is equivalent to the first quartile = 25th percentile, the percentage of the 12 people that are older than 15 are;

Percent older than 15 = 100% - 25% = 75%

The correct option is 75%

Learn more about box and whiskers plot here:

https://brainly.com/question/4449394

Answer:

.............................

Answer:

232.96$

Step-by-step explanation:

Answer:

a b

They both are a type of currency from different countries in order to purchase things

Answer:

Step-by-step explanation:

(fog)(x) = f[g(x)]

(fog)(x) = f[(4/x - 5)]

(fog)(x) = 1 / ((4/x - 5) - 9)

(fog)(x) = 1 / (4/x - 14)

(gof)(x) = g[f(x)]

(gof)(x) = g[1/(x - 9)]

(gof)(x) = (4/ 1/(x - 9)) - 5

(gof)(x) = (4•(x - 9)/1) - 5

(gof)(x) = (4x - 36) - 5

(gof)(x) = 4x - 41

Answer:

y=10x-2

Step-by-step explanation:

Its g is increasing

I guess you could just plug in 0, 1 and -1 and graph it.

Answer:

690

Step-by-step explanation:

(323+1715)-(1135+213)

(2038)-(1348)

=690

The value of the expression is 690

An expression is combination of variables, numbers and operators.

The given expression is (323+1715)−(1135+213)

We have to find the value of expression

By using PEMDAS rule we solve the expression

Let us find the value in parenthesis

2038 -1348

We get 690

Hence, the value of the expression is 690

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

Answer:

14=300X

X=14/300

X=.04667 OR 4.67%

Step-by-step explanation:

100*.08+200*.03=(100+200)X

8+6=300X

14=300X

X=14/300

X=.04667 OR 4.67% SOLUTION ANS.

If this process is wrong, let me know

Answer:

See down

Step-by-step explanation:

Mary served 22 orders, Jose served 16 orders and Aldo served 44 orders:

(Mary) 22 + (Jose) 16 + (Aldo) 44 = 82

Answer:

y = 1 + 2x

or

y = 2x + 1

Step-by-step explanation:

I hope this helps!

Let "x" represent the chicken's age.

"Y "demonstrates the ounces.

Answer:

L spedd

Step-by-step explanation:

Answer:

Both Prince and swallow were alike because both were kind, fully sympathy for the needy and suffering people. Both gave all which was there with them. the swallow gave his own life by carrying out all the errands commanded by the Prince.

Step-by-step explanation:

Answer:

A. and B.

Step-by-step explanation:

A. $34 - $10= $24 hourly fee divided by 3= $8 per hour.

B. $66 - $12= $54 hourly fee divided by 6= $9 per hour.

C.$92-$8= $84 hourly fee divided by 7= $12 per hour.

D. $52.5-$0= $52.5 hourly fee divided by 3.5= $15 per hour.

E. $112-$2=$110 hourly fee divided by 5.5= $20 per hour.

So Mia and Alex are the cheapest .

QUESTION :-

ANSWER :-

Take Lcm by the denominator ( check the pic )

Now subtract this

[tex] \frac{23}{15} [/tex]

=================================================

[tex] \large\rightarrow \tt 1 \frac{8}{15}[/tex]

=================================================

To solve the problem, let's find the LCM or Latest Common Multiple.

[tex]\tt5 \underline{ | \tt5, \: 3} \\ \tt3 \underline{ \tt |1, \: 3} \\ \: \: \: \: \tt1, \: 1[/tex]

[tex] \rightarrow [/tex] LCM = 5 x 3 = 15

[tex] \\ [/tex]

Since the LCM is already finished let's solve for the both numerator and denominator.

[tex]\rightarrow \: \tt3 \frac{1 \times 3}{5 \times 3} = 3 \frac{3}{15} \\ \\ \rightarrow \: \tt1 \frac{2 \times 5}{3 \times 5} = 1 \frac{10}{15} [/tex]

Since both of the fractions cannot be subtracted from each other, then let's make it to a improper fraction.

[tex] \rightarrow \: \tt3 \frac{3}{15} = 3 \times 15 + 3 = \frac{48}{15} \\ \\ \rightarrow \: \tt1 \frac{10}{15} = 1 \times 15 + 10 = \frac{25}{15} [/tex]

Now its time to subtract.

[tex]\rightarrow \: \tt \frac{48}{15} - \frac{25}{15} = \frac{23}{15} \: \: or \: \: 1 \frac{8}{15} [/tex]

Therefore, the answer is 1 8/15.

=================================================

[tex] \underline{{\sf \: \: \#CarryOnLearning! \: \:}} [/tex]

Answer:

60

Step-by-step explanation:

Perimeter = 2l + 2w

57x2 = 114

234 - 114 = 120

120 / 2 = 60