what is the ratio of the sum of the diagonals?

Answer:

4.5

Step-by-step explanation:

beginning-     x+5=3x-4

combine like terms-     9=2x

divide-   x= 4.5

The solution of equation is 4.5

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have Equation

x +5 = 3x -4

Now, solving the equation for x we get

x+ 5 = 3x -4

x -3x = -4 -5

-2x = -9

x= -9/ (-2)

x= 9/2

x= 4.5

Thus, the solution of equation is 4.5

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Answer:

you cannot answer

Step-by-step explanation:

Answer:

cos 2.78 = 1

Step-by-step explanation:

Answer:

The answer is 4x^2-8x-2

Step-by-step explanation:

Distribute 3 to all the numbers on the other parenthesis and the answer would be: 3x^2-6x-3

Now distribute x to that same parenthesis which would be like distributing one so it will be kept the same: x^2-2x-1

Now combine like terms:

3x^2-6x-3

x^2-2x-1

= 4x^2-8x-2

(hope this helps, sorry if I'm wrong)

Answer:

Ellie should have made 253$ in 23 hours in time. If she worked for 22 hours, then she made 242$.

Step-by-step explanation:

253$ / 11$= 23 hours

22 hours X 11$= 242 hours

Answer:

isoceles is the answer as MLN= MNL

Answer:

a = 7; b = ⁷/2

Step-by-step explanation:

Recall the acronym, SOHCAHTOA

We would apply trigonometric ratio formula in finding a and b.

Reference angle [tex] (\theta) [/tex] = 60°

Opposite side to the reference angle = [tex] \frac{7\sqrt{3}}{2} [/tex]

Adjacent side = b

Hypotenuse = a

✔️To find a, we would apply SOH, which is:

[tex] sin (\theta) = \frac{opp}{hyp} [/tex]

Plug in the values

[tex] sin (60) = \frac{\frac{7\sqrt{3}{2}}{a} [/tex]

[tex] \frac{\sqrt{3}}{2} = \frac{\frac{7\sqrt{3}{2}}{a} [/tex] (sin 60 = √3/2)

[tex] \frac{\sqrt{3}}{2} = \frac{7\sqrt{3}{2}*\frac{1}{a} [/tex]

[tex] \frac{\sqrt{3}}{2} = \frac{7\sqrt{3}{2a} [/tex]

Cross multiply

[tex] \sqrt{3}*2a = 7\sqrt{3}*2 [/tex]

[tex] 2a\sqrt{3} = 14\sqrt{3} [/tex]

Side both sides by √3

[tex] 2a = 14 [/tex]

Divide both sides by 2

a = 14/2

a = 7

✔️To find b, apply TOA, which is:

[tex] tan (\theta) = \frac{opp}{adj} [/tex]

Plug in the values

[tex] tan (60) = \frac{\frac{7\sqrt{3}{2}}{b} [/tex]

[tex] \sqrt{3} = \frac{\frac{7\sqrt{3}{2}}{b} [/tex] (tan 60 = √3)

[tex] \sqrt{3} = \frac{7\sqrt{3}{2}*\frac{1}{a} [/tex]

[tex] \sqrt{3} = \frac{7\sqrt{3}{2b} [/tex]

Cross multiply

[tex] \sqrt{3}*2b = 7\sqrt{3} [/tex]

[tex] 2b\sqrt{3} = 7\sqrt{3} [/tex]

Divide both sides by √3

[tex] 2b = 7 [/tex]

Divide both sides by 2

b = 7/2

Answer:

(f◦​g)(−1​) = -14

Step-by-step explanation:

First solve for g(x). g(x) = -1 - 6 = -7. Then plug -7 into f(x). f(x) = (-7)(2) = -14

Answer:

Step-by-step explanation:

y = x

Slope of line = 1

Slope of perpendicular to line = -1

Point-slope equation for line of slope -1 through (2,2):

y-2 = -(x-2)

Slope-intercept equation:

y = -x + 4

Standard form:

x+y = 4

Answer:

so good

Step-by-step explanation:

so good

Depreciation formula: starting value x (1 - percent of decrease)^years

Change 0.9% to a fraction by dividing by 100:

0.9/100 = 0.009

750 x (1-0.009)^7

750 x 0.991^7 = $704.01

The answer is $704.01

Step-by-step explanation:

The answer is : Infinitely many solutions (because they lie in each other)

Answer:

Step-by-step explanation:

Answer:

50%of balnk is 30

the blank is 15 because

50x30/100 gives you what you don't have

so 50x30/100=15

The blank would be 15

Step-by-step explanation:

Answers:

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

Explanation:

We'll use the cosine ratio to find side AT

cos(angle) = adjacent/hypotenuse

cos(A) = AR/AT

cos(24) = 33/AT

AT*cos(24) = 33

AT = 33/cos(24)

AT = 36.1229971906996

AT = 36.122997  approximately

---------------------------------

We could use the sine or tangent ratio to find side TR, but let's use the pythagorean theorem instead.

a^2 + b^2 = c^2

(AR)^2 + (TR)^2 = (AT)^2

33^2 + (TR)^2 = (36.1229971906996)^2

1089 + (TR)^2 = 1304.8709260393

(TR)^2 = 1304.8709260393 - 1089

(TR)^2 = 215.8709260393

TR = sqrt(215.8709260393)

TR = 14.6925466151821

TR = 14.692547  also approximate

---------------------------------

We could use any of the trig ratios of sine, cosine, or tangent to solve for angle T.

However, it's easiest to take advantage of the fact that angles A and T are complementary.

So,

A+T = 90

T = 90-A

T = 90-24

T = 66 degrees

This value is exact.

Answer:

Form an equation:

let x be the price of a shirt

Then, the price of a sweater would be x - 5

So you would have:

4(x - 5) + 3x = 200

simplify

4x - 20 + 3x = 200

7x - 20 = 200

add 20 to both sides

7x = 220

divide both sides by 7

x = about 31.43

That means the cost of the sweater would be 31.43 - 5 = 26.43

Answer:

Got any Brillo Pads? If not, I suggest scrubbing hard with an abrasive sponge and dish soap, preferably Dawn. WHAT DID YOU DOOO? lol

Step-by-step explanation:

Answer:

hot water and use a butter knife and dig it off

Step-by-step explanation:

get really hot water pour it on the bottom of ur shoe and use the knife to dig it off

hope this works it works for me

have a great day :)

also use dish soap

Answer:

-50

Step-by-step explanation:

If the drink is descending by 50 feet, hypothetically I would say that the drinks at 0 ft. so it would be -50

Answer:

-50

Step-by-step explanation:

Drink descended 50 fifty feet, "descended" in this case means subtraction or negative

Answer:

Binomial with a degree of 3

Step-by-step explanation:

-8m^3 + 11m....notice that it has 2 terms....(-8m^3) and (11m). Having 2 terms makes it a binomial...if it would have had 3 terms, it would have been a trinomial. If it has only one variable, the degree is the highest exponent...so this has a degree of 3 since ^3 is the highest exponent.

so the answer is : binomial with a degree of 3

The correct answer is: "It is a binomial with a degree of 3."

Polynomial is an equation written with terms of the form kx^n.

where k and n are positive integers.

There are quadratic polynomials and cubic polynomials.

Example:

2x³ + 4x² + 4x + 9 is a cubic polynomial.

4x² + 7x + 8 is a quadratic polynomial.

We have,

The polynomial -8m³ + 11m is a binomial with a degree of 3.

A polynomial is an expression consisting of variables and coefficients, where the variables are raised to non-negative integer powers and the coefficients are constants.

The degree of a polynomial is the highest power of the variable in the polynomial.

In this case,

The polynomial has two terms, or it is a binomial.

The highest power of "m" in the polynomial is 3, which means that the degree of the polynomial is 3.

Therefore,

The correct answer is: "It is a binomial with a degree of 3."

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Step-by-step explanation:

Simplifying

g = cst

Solving

g = cst

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Simplifying

g = cst

Answer:

207400%

Step-by-step explanation:

Look at the decimal number 2074 as 2074 out of one. Furthermore, percent means per hundred. So the task is to convert 2074 out of one to 2074 out of one hundred.

The equation to solve the problem is displayed below where x is the 2074 as a percentage.

2074

/1

   =  

x

/100

Please mark brainliest if correct and have a blessed day!

We solve the equation for x above by first multiplying each side by one and then multiplying each side by one hundred. Thus, the answer to 2074 as a percentage is:

207400%

Answer:

the answer is 207400% I do believe

Answer:

50% or 75 times

Step-by-step explanation:

Answer:

8 and -4

Step-by-step explanation:

8*-4=-32

8+(-4)=4

Answer:

5 minutes

Explanation:

.5x + 2 = y

.2x + 3.8 = y

.5x + 2 = .2x + 3.8

-.2x         -.2x          

.3x + 2 = 3.8

      -2      -2          

.3x = 1.8

.3     .3

x = 5

After 5 minutes, both bikes will be at the same price.

Answer: 5.79

Step-by-step explanation:

From the question,

3 people ordered the 4.75 chicken dinner. The cost will be:

= 4.75 × 3

= 14.25

2 people ordered the 4.95 fish dinner. The cost will be:

= 4.95 × 2

= 9.9

5 had beef dinner at cost of 6.75 each. This cost will be:

= 6.75 × 5

= 33.75

Total cost will be:

= 14.25 + 9.9 + 33.75

= 57.9

Therefore, the average cost of each dinner at Mary's party will be:

= Total cost / Number or people

= 57.9 / 10

= 5.79

Answer:

The probability of rolling a 3 in a 6 number dice is 1/6. Thereafter, p of rolling a non 3 is 5/6.

Alternatively, A number cube (dice) has six sides labelled 1 through 6. Hence, a fair dice has a probability of 1/6 to land on any predetermined number 1 through 6. Therefore, to land on 3 the probability is 1/6

Explaination:

Rolling two six-sided dice: Each dice has 6 equally likely outcomes, so the sample space is 6×6 or 36 equally likely outcomes. Flipping three coins: Each coin has 2 equally likely outcomes, so the sample space is 2×2×2 or 8 equally likely outcomes.

Answer:

See below.

Step-by-step explanation:

STEP 1:  If you write the given terms all with denominators of 16, they are 28/16, 25/16, 22/16, 19/16, __, ____, ____, 7/16, 4/16.

STEP 2: The terms decrease by 3/16 for each step.

RULE: Term 1 = 7/4 and term (n + 1) = term 'n' - 3/16

The operation for increasing by the same amount every step is addition.

The operation for decreasing by the same amount every step is subtraction.

STEP 3: The rule is that the terms decrease by 3/16 at each step.

So the next 3 terms after 19/16 will be 16/16, 13/16, and 10/16.

Reformat them and you have 1, 13/16, 5/8.

So now the completed sequence is 1&3/4, 1&9/16, 1&3/8, 1&3/16, 1, 13/16, 5/8, 7/16, 1/4.

Answer:

a) the product of slopes of segment jk and segment j prime k is -1 therefore line f and g are perpendicular

Answer:

The product of the slopes of segment JK and segment J prime K is −1; therefore, lines f and g are perpendicular.

Step-by-step explanation:

Just took the test and its correct!! :)

Answer:

the answer is 2

Step-by-step explanation:

0=4x-8

-4x=-8

x=2

Answer:

x=2

Step-by-step explanation:

the x intercept is where the graph intersects the x axis also called the root of the equation.

y=0 if the graph intersects the x-axis

0= 4x-8; add 8 to both sides

8 = 4x ; divide both sides by 4

2=x