can someone please help with this!!

Answer:

Try this option, note: only calculation is performed, the last two question are missed.

Step-by-step explanation:

to calculate 'x':

the rule: m∠BAC+m∠ABC+m∠BCA=180°; if to substitute m∠BAC=4x+10,m∠ABC=12x-6,and m∠BCA=3x+5, then 4x+10+12x-6+3x+5=180°; ⇔ x=9.

to calculate m∠BAC; m∠ABC; m∠BCA:

m∠BAC=4x+10; ⇒ m∠BAC=36+10=46°;

m∠ABC=12x-6; ⇒ m∠ABC=108-6=102°;

and m∠BCA=3x+5; ⇒ m∠BCA=27+5=32°.

to calculate the angle 1 and 2:

the fule is: m∠1+m∠BAC=180° and m∠2+m∠ABC=180°.

Then m∠1=180-m∠BAC=180-46=134°;

m∠2=180-m∠ABC=180-102=78°.

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

The value of the angle x is 108 degrees

To determine the value, we need to note that the sum of the angles on a straight line is 180 degrees.

Also, parallel lines are lines that do not meet or intersect each other on any side of a plane

From the information given, we have that;

x + 72 = 180

now, collect the like terms in the equation, we have;

x = 180 - 72

subtract the values

x  = 108 degrees

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Algebraic expressions are useful for solving different and complex equations in mathematics, as well as for modelling real-life situations such as revenue, cost, inference, etc

The algebraic expression is: \(6x - 9\).

To represent the sentence as an algebraic expression, we can follow these steps: Identify the variable. In this case, “a number” is x. Identify the operation. In this case, “less than” means subtraction and “times” means multiplication.

An algebraic expression is an expression that contains variables, constants and mathematical operations. Algebraic expressions are useful because they can help us solve different and complex equations.

For example, if you want to calculate the area of a rectangle with length x and width y, you can use the algebraic expression xy to represent the area.

Write the expression using the order of operations. In this case, we need to multiply six by x first, then subtract nine from the result.

Therefore, The algebraic expression is: \(6x - 9\)

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Answer:

3528

100 x 36 = 3600

36 x 2 = 72

3600 - 72 = 3528

Answer:

The least common denominator would be 30.

Step-by-step explanation:

5- 5, 10, 15, 20, 25, 30, 35, 40

6- 6, 12, 18, 24, 30, 36 42, 48

Complete question is;

A. imagine that you are one of the people who left the luncheon with a contagious disease and interacted with an average of 9 different people each day. how many people could potentially be infected in 7 days?

b. imagine the other remaining persons who received the contagious disease at the end of the luncheon interacted with an average of 6 different people per day. how many people could potentially be infected in 7 days by these others who left the luncheon?

Answer:

A) 63

B) 294

Step-by-step explanation:

A) We are told that the person that has the disease comes in contact with an average of 9 persons each day. Thus, for 7 days, he would have infected;

Number of people infected for 7 days = 9 × 7 = 63 people

B) If patient zero is excluded, there will be seven other people in the experiment. Now, we are told that each of them interacted with 6 different people every day in 7 days.

Thus, number of people infected each day = 7 people infected x 6 new people = 42 infected people each day,

Them for 7 days;

= 42 infected people each day x 7 days = 294 infected persons.

Given:

6x^4 + 9x^3 - 11x^2 + 20 is divided by x + 2

a.)

To complete the given synthetic division table, we first carry down the leading coefficient and multiply the carry-down value by the zero of the denominator. We also carry the result up into the next column. The process is shown below:

Hence, the answer is shown above.

b)

We must note that the remainder is zero. Now, we write the answer in the form: quotient +remainder/(x+2)

So,

Answer:

Step-by-step explanation:

\(5=\frac{z}{4}-3\)

\(\frac{z}{4}-3=5\)

\(\frac{z}{4}=5+3\)

\(\frac{z}{4}=8\)

\(z=8\cdot \:4\)

\(z=32\)

Answer: x= -2

Step-by-step explanation:

Let's solve your equation step-by-step.

3−2x=x+9

Step 1: Simplify both sides of the equation.

3−2x=x+9

3+−2x=x+9

−2x+3=x+9

Step 2: Subtract x from both sides.

−2x+3−x=x+9−x

−3x+3=9

Step 3: Subtract 3 from both sides.

−3x+3−3=9−3

−3x=6

Step 4: Divide both sides by -3.

−3x/−3 = 6/−3

x=−2

The calculated areas are the same for regular polygon and equal to 43.5 units squared.

The area of polygon is given by the formula:

A = (1/2)ap,

where A is the area, an is the apothem (the distance from the centre of the polygon to the midpoint of any side), and p is the polygon's perimeter, is the formula for calculating the area of a regular polygon.

The apothem of the equilateral triangle can be found using the formula:

a = s / (2 tan(π/n))

Substituting the value of s = 10 we have, and n = 3 side.

a = 10/ / (2 tan(π/3))

a ≈ 2.9 units

The perimeter of the triangle is given as:

p = 3 x 10 = 30 units

Now, the area of the triangle is given as:

A = (1/2)ap

A = (1/2)(2.9)(30) = 43.5 sq. units.

Hence, the calculated areas are the same and equal to 43.5 units squared.

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Answer:

Step-by-step explanation:

Bianca’s answer.

The apothem, rounded to the nearest tenth, is

✔ 2.9 units.

The perimeter of the equilateral triangle is

✔ 30 units.

Therefore, the area of the equilateral triangle is

✔ 1/2(2.9)(30) , or approximately 43.5 units2.

The calculated areas are

✔ the same, despite using different formulas

.

Answer:

Given number = 0.44

Find how many times the value of the hundredths place digit to the value of the tenths place digit.

=> Since this is a decimal number, I believe, the value you mean is tenths and hundredths, not tens and hundreds.

Now, how many times is the value of each digit differs from each other:

The answer is 10 times

=> 4 hundredths x 10 = 4 tenths

=> 0.04 x 10 = 0.4, which is correct

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

the difference between them is ten laps

it will not change since they are equally fast

Answer:

200

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

Google told me that 20% of 1000 is 200

Use the properties of equalities to solve the equation and find the value of R.

First, subtract 37 from both members of the equation:

Next, multiply both members of the equation by 5 to get rid of the denominator on the left member:

Therefore, the value of R is 255.

The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.

Given points:

Point 1: (1, 0)

Point 2: (3, 6)

Step 1: Calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates:

m = (6 - 0) / (3 - 1)

m = 6 / 2

m = 3

Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).

Using Point 1 (1, 0):

0 = 3(1) + b

0 = 3 + b

b = -3

Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):

y = 3x - 3

Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.

Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.

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Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

Answer: each base angle in an isosceles right triangle measures 45 degrees.

Step-by-step explanation:

In an isosceles right triangle, two sides have equal lengths, and one angle is a right angle (90 degrees).

Since it is an isosceles triangle, the two base angles (the angles opposite the equal sides) must be congruent, meaning they have the same measure.

To find the measure of each base angle, we can use the fact that the sum of the angles in a triangle is 180 degrees.

Let's denote the measure of each base angle as "x". Then, the sum of the three angles in the triangle can be expressed as:

x + x + 90 = 180

Simplifying the equation:

2x + 90 = 180

Subtracting 90 from both sides:

2x = 90

Dividing both sides by 2:

x = 45

Answer: 76 degrees and 14 degrees

Step-by-step explanation:

Complimentary angles add up to 90 degrees. Let x represent the complementary angle.

x+x-62=90

2x-62=90

2x-62+62=90+62

2x=152

2x/2=152/2

x=76

76-62=14

Answer:

Let u represent the lesser angle

u+u-62= 90

2u-62 = 90

2u = 90-62

2u = 28

Divide both sides by 2

u =14 degrees

Then the other angle = 90-14

=> 76 degrees

The oil and coolant will be changed together after 15000 miles.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a car manual recommends changing the oil every 5000 miles and inspecting the engine coolant system every 15,000 miles.

The change for both together for the first time will be after 15000 miles.

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The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Solution

For this case we have the following:

2 1/2 = 5/2 ft

1 3/4 = 7/4 ft

the ratio is 20/14 = 10/7

The new dimensions are: 11 and 9 inches

So then we can create the following equation:

11/x = 10/7

Solving for x we got:

x = 11*7/10 = 77/10

Then the scaled notebook should be with the following dimensions:

11 in and 7.7 in

Final answer

Scale factor= 10/7

The dimensions of the fenced-in area is

either length = 35 yards and width = 80 yards ,  

or length = 40 yards and width = 70 yards .

In the question ,

it is given that

the total length of the fence = 150 yards

let L be the length of the area to be fenced

let B be the width of the house

Given that one side of the area is fenced using the back side of the house

So, the perimeter of the area to be fenced is 2L+B

equating both the perimeter we get

2L+B=150

B=150-2L       ....(i)

Given the area fenced-in portion = 2800 yards

also the fenced-in portion area = L×B

hence

L*B=2800

Substituting the values of B from equation(i) , we get

L*(150-2L)=2800

150L - 2L² = 2800

2L² - 150L + 2800 = 0

simplifying further , we get

L² - 75L + 1400 = 0

L² -40L -35L +1400 = 0

L(L-40) -35(L-40) = 0

(L-35)(L-40) = 0

So , L = 35 yards or L = 40 yards

Using L = 35 yards , we get B = 150-2(35) = 80 yards

and using L =40 yards , we get B = 150-2(40) = 70 yards .

Therefore , The dimensions of the fenced-in area is

either length = 35 yards and width = 80 yards   ,

or length = 40 yards and width = 70 yards   .

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Answer:

5%

Step-by-step explanation:

I = P × R × T

420 = 1400 × R/100 × 6

R = 420 / 84 = 5%

The unknown angle measures are d = 76, c = 53, a = 51 and b = 76

From the question, we have the following parameters that can be used in our computation:

The lines

The sum of angles on a line is 180

So, we have

b = 180 - 51 - 53

b = 76

By vertical angle theorems, we have

d = 76

c = 53

a = 51

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1) To find the distance between those points. We need to calculate it through the distance formula derived from the Pythagorean Theorem.

2)

Answer:

D. \(10^{\circ}\)

Step-by-step explanation:

Let the measure of minor arc \(AE\) be \(\alpha\) and the measure of minor arc \(BD\) be \(\beta\).

Using the secant-secant theorem, \(\frac{\alpha-\beta}{2}=32 \implies \alpha-\beta=64^{\circ}\).

By the inscribed angle theorem, \(\alpha=84^{\circ}\).

Thus, \(\beta=20^{\circ}\).

By the inscribed angle theorem, \(x=10^{\circ}\).

Answer:

147.0336

Step-by-step explanation:

Answer: 1/8

Step-by-step explanation:

First make the bottom half the same:

3/4*2/2=6/8

We don’t need to change the first portion since they have a common factor

7/8-6/8=1/8

The equation solved for the variable are;

h = S- 2B/p

b = S - hp/2

To determine the equation, we need to know that the subject of formula for  an equation is described as the variable that is made to stand on one end of the equality sign.

It is the variable that is being worked out.

From the information given, we have that;

S= hp + 2B.

To make the height with the variable 'h' the subject, we have;

collect the terms

hp = S - 2B

Divide by the coefficient

h = S- 2B/p

For b, we have;

S - hp = 2b

divide by the coefficient

b = S - hp/2

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