HELP I WILL GIVE BRAINIEST!!!! Find the measure of the missing angles.

Answer:

d = 3

Step-by-step explanation:

4d+9=21

4d = 12

d = 3

Let's check

4(3) + 9 = 21

12 + 9 = 21

21 = 21

So, d = 3 is the correct answer.

Answer: 3 = d

Step-by-step explanation:

4d + 9 = 21

     - 9   - 9

4d = 12

—     —

4       4

d = 3

Kweku would save $180 in a year buying electricity for the Desla electric compared to buying gas for the Deswagon.

To make up for the higher sale price,

it will take him more than 66 years.

Subtraction is a mathematical operation. Which is used to remove terms or objects in the expression.

Given:

Deselectric costs $11900 more than the Deswagon.

Unit cost:

Deselectric: $0.11 per mile.

Deswagon: $0.12 per mile.

Kweku drives about 18,000 miles a year.

That means

the cost for each car;

Deselectric: 18000 x 0.11 = $1980

Deswagon: 18000 x 0.12 = $2160

The more cost is,

= $2160 - $1980

= $180 of savings in a year.

Now, the make-up for the higher sale price,

= 11900/180

= 66.11 in years.

Therefore, it will take him more than 66 years.

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Answer:

See below

Step-by-step explanation:

If we increase the sample size, we will decrease the margin of error, creating a smaller interval. This is why option C is the most appropriate answer!

Answer:

Step-by-step explanation:

Use SOH CAH TOA.

Using TOA or tangent = tan0 = opp/adj.

tan0 = 1500m/800m  ->  tan0 = 1.875

Use inverse tan or tan^-1.

0 = tan^-1(1.875)

0 = 61.93 degrees.

From the graph, the range in the viewing window is [-3,3]

What are domain and range of a function ?

The range of values that we are permitted to enter into our function is known as the domain of a function. In a function like f, this set represents the x values (x). The collection of values that a function can take on is known as its range. The values that the function outputs when we enter an x value are in this set.

f(x)= -100|x| + 75

Take few values for x and find corresponding f(x) values

The graph will be symmetrical in nature

It is absolute value function

Example:

when x=0.75

f(x) = -100(0.75)+75

     = -75+75

     = 0

Range is the y values

From the graph, the range in the viewing window  is [-3,3]

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Using the formula of Interest I = PRT and given values the value of P is $5250.

Interest is the sum over and above the original amount (the amount borrowed) that is paid to a lender or depositor by a borrower or deposit-taking financial institution at a set rate. Interest differs from profit, in that interest is received by a lender, whereas profit is received by the owner of an asset, investment or enterprise.

Given that, the formula is I = PRT

I = $7140, R = 0.17, T = 8

To find the value of P, from the formula

7140 = P * 0.17 * 8

⇒ 7140 = P * 1.36

divide both sides with 1.36 we get

⇒ 7140/1.36 = P

⇒ P = $5,250

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The system of linear equations that has an unique solution has this feature:

Different slopes.

Then we must replace into the equations the variables x = 2 and y = -1, and verify if the equations are satisfied.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The number of solutions for a system of two linear functions is defined as follows:

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The distance from point A to point B is 313.6 feet.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

From the given information AB = AC - BC.

We know, tan = opposite/adjacent.

tan12° = 150/AC.

AC = 150/0.213.

AC = 704.23.

Again,

tan21° = 150/BC.

BC = 150/0.384.

BC = 390.63.

Therefore, AB = 704.23 - 390.63 = 313.6 feet.

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The wave amplitude was A =  15849 Ao times stronger the wave amplitude of the earthquake was than Ao.

The formula to solve this is given as

K = log (A / Ao)

Where we have k to be the constant that is measured on the richter scale as 4.2

Then when we put this in the formula, we would have:

4.2 = log (A / Ao)

take the log of both sides of the equation

[tex]10^4^.^2 = \frac{A}{Ao}[/tex]

15848.9 approximately 15849

15849 = A / Ao

cross multiply to get the value of A

A =  15849 Ao

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Answer:

A. 12 TT

B. 6 TT

C. 9 TT

D. 18 TT

The correct answer is D. 18 TT. The formula for circumference is C = 2TT x radius, so with TT equal to 3.14, the circumference of the circle is 18.28 TT which is approximately equal to 18 TT.

Answer:

(f + g)(x)= -x + 6.

Step-by-step explanation:

The sum of two functions, f(x) and g(x), is given by (f + g)(x) = f(x) + g(x).

So, for f(x) = 4x + 6 and g(x) = -5x,

(f + g)(x) = f(x) + g(x) = (4x + 6) + (-5x) = -x + 6.

The result is a linear function and is already in the simplest form, so it cannot be further simplified.

The Length of wheel chair ramp should be 54.94 feet.  as we calculated this by given height of ramp is 5 feet and angle of elevation is 5.22 degree.

Here it is given that the height of ramp from ground is 5 feet and angle of elevation is 5.22 degree .Now we can see that this is a height and distance question. For that we have to use trigonometric ratio. And all trigonometric ratio are the angle of right angle triangle so here we have to find tangent of angle

so tanФ = perpendicular /base

and in this question the perpendicular is 5 feet and and the base we have to find and angle 5.22 degree.

let the length of ramp is  = y and then put the value on formula we have

tan 5.22 = 5/y

y = 5/(tan5.22) = 5/0.091 =54.94

The length of wheel chair ramp is  54.94 feet .

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Answer:

32cm

Step-by-step explanation:

Let x represent the width

if the width = x

therefore the length = x+8

The perimeter = 72cm

[tex]x + x + 8 = 72[/tex]

[tex]x + x + 8 - 8 = 72 - 8[/tex]

[tex]x + x = 64[/tex]

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

[tex]2x = 64[/tex]

[tex] \frac{2x}{2} = \frac{64}{2} [/tex]

[tex]x = 32[/tex]

Answer:

18cm

Step-by-step explanation:

wide = 8cm + length

perimeter = 2(L + B)

Answer:

4

Step-by-step explanation:

3*9=9(x-1)

x-1=3

x=4

Answer:

  (d)  6.3

Step-by-step explanation:

You want the measure of side CD in ∆CDE ~ ∆CFG with CG=6, GE=2.4, and FD=1.8.

The corresponding sides of the two triangles are proportional:

  CD/CE = FD/GE

  CD = CE×FD/GE = (6+2.4)×1.8/2.4

  CD = 6.3

__

Additional comment

Lengths on segment CD are 3/4 of those on segment CE, so CF = 4.5. CD is the sum of CF and FD: 4.5 +1.8 = 6.3.

Answer: 506,150

First we must divided 0.9 into 530,000 to find out how much of the population will decrease each year.

0.9% of 530,000 is 4770. Which means that each year, 4,770 people will move the District of Columbia. From 2010 to 2015, that is 5 years, which means that we have to multiply 4,770 by 5.

4770 x 5 is 23850.

Next we have to subtract the amount of people who moved.

530,000- 23,850 is 506,150

This means by 2015, the expected population will be 506,150 in the District of Columbia.

I hope this helped & Good Luck <3 !!!

The value of the expression is -5/6.

The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.

Given:

An expression,

7/5 × 1/3 + 3/5 × (- 2/9) + 7/5 × (- 5/6).

Solving further with the help of PEMDAS,

7/5 × 1/3 + 3/5 × (- 2/9) + 7/5 × (- 5/6)

= 7/15 - 6/45 - 35/30

= (42- 12 - 105)/90

=  -75/90

= -5/6

Therefore, the value is -5/6.

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Answer:

  See attached

Step-by-step explanation:

You want the numbers for quotient, dividend, and remainder in the area model of 49÷3.

The number in each rectangle is its area, which is the product of the divisor on the left and the quotient at the top. These can be considered the length and width of the rectangle. The rectangle area is their product.

The remainder is put in the box at upper right. It is a value that is smaller than the divisor on the left.

The line at the bottom summarizes the division. The quotient is the sum of the quotient values at the top of the model, and the remainder is what's left over: the number that is too small to divide further.

Answer:

The total number of counters in the bag is 150.

Step-by-step explanation:

There are 90 red counters and the ratio of red to blue is 3:5, which means that for every 3 red counters there are 5 blue counters. Thus, 90 red counters would mean that there are 5/3 times as many blue counters, or 150/3 = 50 blue counters. Therefore, 90 red counters + 50 blue counters = 150 counters in total.

The equation of the horizontal asymptote will be y = -2.

An asymptote is a line that constantly reaches a given curve but does not touch at any infinite distance.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

From the graph, the horizontal asymptote is parallel to the x-axis and the equation of the horizontal asymptote is given as,

y = - 2

The equation of the horizontal asymptote will be y = -2.

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[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \pounds 400\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\dotfill &2 \end{cases} \\\\\\ I = (400)(0.05)(2) \implies I = 40[/tex]

You would expect a total of 2560 extra credit points to be rewarded (rounded to the nearest integer).

You must multiply the total number of extra credit points awarded by the number of pupils in order to find the answer to this question.

The equation would be as follows, assuming that each student receives the same number of extra credit points:

Total Extra Credit Points = Amount of Extra Credit Points per Student * Total Amount of Students

Therefore, in this case, the total amount of extra credit points to be rewarded would be:

Total Extra Credit Points = 10 * 256 = 2560

Therefore, If all 256 students from the in-person and online STA 381 classrooms choose to participate in the game, you can anticipate receiving a total of 2560 extra credit points (rounded to the nearest integer).

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The area of the triangle is 11.55 square meters.

The correct option is B.

The polygon which has three sides and three vertices is called as triangle.

The sum of all the angles of the triangle is 180°.

A triangle is given.

The height of the triangle = 5.5 meters.

The base of the triangle = 4.2 meters.

The area of the triangle = 1/2 x base x height

The area of the triangle = 1/2 x 4.2 x 5.5

The area of the triangle = 11.55 square meters.

Therefore, area is  11.55 square meters.

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Answer:

18 Kg

Step-by-step explanation:

We can use algebra to solve for the mass, m, given the delivery price, $70.

Starting with the formula:

price ($) = 7 + 3.5m

We can substitute $70 for price ($) and solve for m:

$70 = 7 + 3.5m

Subtracting 7 from both sides:

$63 = 3.5m

Dividing both sides by 3.5:

m = 18

Therefore, the mass of the parcel is 18 kg.

Answer:

[tex]a^4b^{-5}\text{ or }\frac{a^4}{b^5}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{a^2b^{-3}}{a^{-2}b^2}=a^{2-(-2)}b^{-3-2}=a^4b^{-5}=\frac{a^4}{b^5}[/tex]

The juice is 27 and the tornadoes are 21.

An equation is a mathematical statement that shows that two expressions are equal by using an equal sign (=). Equations are used to find the value of an unknown variable or to show the relationship between variables.

We know that the number of the juice and the tornadoes can be x and y

We then have that;

5x + 3y = 24 ----- (1)

4x + 2y = 30 ----- (2)

Multiply equation 1 by 4 and equation 2 by 5 we have that;

20x + 12y = 96 ---- (3)

20x + 10y = 150 ----- (4)

Subtract (3) from (4)

-2y =54

y = -27

Then;

5x + 3(-27) = 24

x = 21

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Refer to the attached image.

The expanded form of the expression [tex]\frac{a^2 - (b + c)^2}{c^2 - (a - b)^2}[/tex] is [tex]\frac{a^2 - b^2 - 2bc - c^2}{c^2 - a^2 + 2ab - b^2}[/tex].

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression [tex]\frac{a^2 - (b + c)^2}{c^2 - (a - b)^2}[/tex].

We know, (a ± b)² = a² ± 2ab + b².

Therefore, [tex]\frac{a^2 - (b + c)^2}{c^2 - (a - b)^2}[/tex]

[tex]= \frac {a^2 - (b^2 + 2bc + c^2)}{c^2 - (a^2 - 2ab + b^2)}[/tex]

[tex]= \frac{a^2 - b^2 - 2bc - c^2}{c^2 - a^2 + 2ab - b^2}[/tex]

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The distance between the star from the Sun in astronomical units

is 28.6 AU.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecent/hypotenuse and

tan = opposite/adjacent.

From the reference angle of 2 degrees, d can be thought of as the adjacent side and the distance from the Sun and the Earth can be thought of as the opposite side.

Now, We know tan = opposite/adjacent.

tan2° = 1/d.

d = 1/0.035.

d = 28.6 AU.

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