АBC is a right angled triangle. if B = 90°, AC= 96cm, C=30°. AB = cm​

Answer:

5(2x-1)=85

simplify

10x-5=85

add 5

10x=90

x=9

Hope This Helps!!!

\(\huge\text{Hey there!}\)

\(\mathsf{5(2x - 1) = 85}\\\\\large\textbf{DISTRIBUTE 5}\\\mathsf{5(2x) + 5(-1) = 85}\\\mathsf{10x - 5 = 85}\\\\\large\textbf{ADD 5 to BOTH SIDES}\\\\\mathsf{10x - 5 + 5 = 85 + 5}\\\\\large\textbf{SIMPLIFY IT!}\\\\\mathsf{10x = 85 + 5}\\\mathsf{10x = 90}\\\\\large\textbf{DIVIDE 10 to. BOTH SIDES}\\\mathsf{\dfrac{10x}{10} = \dfrac{90}{10}}\\\\\large\textbf{SIMPLIFY IT!}\\\\\mathsf{x = \dfrac{90}{10}}\\\mathsf{x = 9}\\\\\\\huge\text{Thus, your answer should be: \boxed{\mathsf{x = 9}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

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Answer:

u=20

Step-by-step explanation:

The  expression represents the total surface area of the prism is

2 (5 * 7) + 2 (4 * 7) +  2  (4 * 5)

The term "TSA" stands for "Total Surface Area" of a prism. The Total Surface Area represents the  sum of the areas of all the faces (including the bases) of the prism.

for the rectangular prism, the Total Surface Area can be calculated using the formula:

TSA = 2lw + 2lh + 2wh

where

l = 5

w = 4

h = 7

plugging in the values gives

TSA = 2 (5 * 7) + 2 (4 * 7) +  2  (4 * 5)

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Using the midpoint formula we will see that the coordinates of B are (-9, 1)

We know that for two points (x, y) and (a, b) the midpoint is at:

( (x  + a)/2,  (y + b)/2)

In this case if the coordinates of B are (x, y), we can write the equation:

(-2, 4) = ( (x + 5)/2, (7 + y)/2)

We can solve these two equations to find the coordinates of point B, we will get:

(x + 5)/2 = -2

x + 5 = -4

x = -4 - 5 = -9

And:

(7 + y)/2 = 4

7 + y = 4*2 = 8

y = 8 - 7 = 1

The coordinates of B are (-9, 1)

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An expression for given sequence of operations is: j + 3^9

In this question, we need to write an expression for the sequence of operations described below.

raise 3 to the 9th power, then add the result to j

Consider the part of given statement,

raise 3 to the 9th power

We write this as: 3^9

then we add this result to j.

So, we get an expression: 3^9 + j

Therefore, an expression for given sequence of operations is: j + 3^9

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Answer:

$6.84

Step-by-step explanation:

This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.

Answer:

okay information

Step-by-step explanation:

Answer:

13.27 cm

Step-by-step explanation:

I am using (xy) to mean the length of the side xy

7^2 + (xy)^2 = 15^2

49 + (xy)^2 = 225

(xy)^2 = 225-49

(xy)^2 = 176

Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm

Answer:

A quadrilateral is a shape that has four straight sides and four angles.

A triangle is a shape that has three straight sides and three angles.

A square is a special type of quadrilateral that has four straight sides of equal length and four right angles.

The amount that the taxpayer is owing in taxes is $2,691.05.

We have,

Income tax payable refers to a business organization's tax liability to the government in the jurisdiction in which it operates. The amount of liability will be determined by the company's profitability over a given time period and the applicable tax rates. Tax payable is considered a current liability rather than a long-term liability because it must be settled within the next 12 months.

Based on the table, we are using the tax rate of 15% for the taxable income of $11,757.

The tax payable will equals to:

= 15%*$11,757 + $927.50

= $1,763.55 + $927.50

= $2,691.05

Hence, The amount that the taxpayer is owing in taxes is $2,691.05.

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complete question:

Based on this table, if someone had a taxable income of $11,757, how much would they owe in taxes?

Answer:

436.42 m

Step-by-step explanation:

We are to determine the perimeter of the field

perimeter = perimeter of rectangle + perimeter of the two semicircles

Perimeter of a rectangle = 2 x (length + breadth)

2 x (82 + 53) = 270m

Perimeter of a semicircle = 1/2πD

perimeter of the 2 semicircles = 2 x (1/2 x 3.14 x 53) = 166.42

Perimeter = 270 + 166.42 = 436.42 m

Answer:

the first (top) answer option. ... = 129/100

Step-by-step explanation:

the for me qualifying or disqualifying term is the constant term as the product and sum of all the constant parts.

the general form has the constant parts

... + 1 = 0

so, all the constant terms from the squares on the left side minus the constant term on the right side must be 1.

let's start from the bottom : the 4th answer option.

the constant parts are

... + (-1/5)² + ... + (3/2)² = 121/100

... + 1/25 + ... + 9/4 = 121/100

... + 0.04 + ... + 2.25 = 1.21

... + 2.29 - 1.21 = ... + 1.08

and NOT 1. so, this is wrong.

the 3rd answer option.

... + (-1/3)² + ... + (-3/2)² = 221/100

... + 1/9 + ... + 9/4 = 221/100

... + 0.111111... + ... + 2.25 = 2.21

... + 0.111111... + ... + 2.25 - 2.21 = 0

... + 0.111111... + ... + 0.04 = 0

... + 0.111111 + 0.04 = 0.15111111...

and NOT 1. so, this is wrong.

the 2nd answer option.

... + (-1/5)² + ... + (3/2)² = 229/100

... + 1/25 + ... + 9/4 = 229/100

... + 0.04 + ... + 2.25 = 2.29

... + 2.29 - 2.28 = ... + 0

and NOT 1. so, this is wrong.

the first answer option.

... + (-1/5)² + ... + (3/2)² = 129/100

... + 1/25 + ... + 9/4 = 129/100

... + 0.04 + ... + 2.25 = 1.29

... + 2.29 - 1.29 = ... + 1

this IS 1. so, this is correct.

this corresponds now to the original

... + 1 = 0

Answer: Choice A (May vary from test to test)

Step-by-step explanation:

(x-1/5)^2 + (y+3/2)^2 = 129/100

Just an FYI:

The solution of the system of equations are  x = - 6 , y = 44 and z = 2

Given,

The system of equations;

3x + y - 2z = 22

x + 5y + z = 4

x = -3z

We have to solve the given equations;

Substitute x = -3z in both equations;

3x + y - 2z = 22

⇒ 3 × -3z + y - 2z = 22

⇒ - 9z + y - 2z = 22

⇒ - 11z + y = 22

And,

x + 5y + z = 4

⇒ - 3z + 5y + z = 4

⇒ 5y - 2z = 4  

Solve the equations  - 11z + y = 22  and 5y - 2z = 4  

We get,

⇒ y = 44 and z = 2

So, x = - 3z    

⇒ x = - 3 × 2

⇒ x = - 6

Thus, The solution of the system of equations are;

⇒ x = - 6 , y = 44 and z = 2

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What do we know so far:

  *we converted the number of laps into improper fractions

        \(2\frac{2}{3} = \frac{8}{3}\)

We want to know the number of laps in an hour

  ⇒ so we must find the rate which ⇒ lap/hour

   \(lap/hour =\frac{8/3laps}{4/15hours} =\frac{8}{3}*\frac{15}{4} =\frac{8}{4} *\frac{15}{3} =2*5=10laps/hour\)

So William can run ⇒ 10 laps in one hour

Hope that helps!

Answer:

6

Step-by-step explanation:

Given that 4 points lie in a plane so that no 3 points of them lie on a line.

Let A, B, C, and D are four points as shown in the figure.

One line to be drawn, only 2 points are needed.

As no 3 points are collinear, so the number of combination of 2 points among the total 4 points gives the number of lines can be drawn.

As the total number of combinations of \(r\) elements, taken at a time, among \(n\) elements are

.

So, the required number of lines

\(=\binom{4}{2}=\frac{4!}{2!\times(4-2)!}=\frac{4!}{2!\times2!}=\frac{4\times3\times2\times\1}{2\times1\times2\times1}=6\)

All the 6 possible lines can be verified from the figure.  

Answer:

nine

Step-by-step explanation:

Answer:

m<1=140

m<2= 40

m<3= 140

m<4= 40

m<5=140

m<6= 40

m<7= 140

Answer:

Step-by-step explanation:

m∠1 = 180-40= 140° (suplementary angles)

m∠2= 40° (vertical angles are ≅)

m∠3= 140° ( is ≅ to ∠1)

m∠4 = m∠6 = 40° ( same side corresponding ∠s, and vertical angles)

m∠5 = m∠7 = 140° ( same side corresponding ∠s, and vertical angles)

Answer:

$7.5

Step-by-step explanation:

3/.4

The interval of the function f(x) = 3 · x - eˣ such that the function shall be positive is x ∈ (0.6191, 1.5121).

In this question we have an expression that combines polynomic and exponential expression, whose variable x cannot be cleared by analytical approaches, but by numerical and graphical methods. Herein we decide to find the interval by graphical methods, using a graphing tool:

First, write the function in explicit form (f(x) = 3 · x - eˣ). Second, find the two points such that the function goes through the x-axis (horizontal axis). Third, define the set of possible x-values by interval notation such that y > 0.

Then, the points of the function that are on the x-axis are (x₁, y₁) = (0.6191, 0) and (x₂, y₂) = (1.5121, 0). Then, the interval of the function f(x) = 3 · x - eˣ such that the function shall be positive is x ∈ (0.6191, 1.5121).

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Answer:

50

Step-by-step explanation:

you dont want blue or yellow but you want red or green which means it is 2 agast 2 and 2+2 is 4 and 4 divided by 2 is 50%

There are 6 teachers and 15 students to choose from

To form a committee of 5 teachers and 4 students

The combination rule will be applied

From 6 teachers, The number of ways 5 teachers can be selected is

From 15 students, the number of ways 4 students can be selected is

Therefore, the total number of ways a committee of 5 teachers and 4 students can be formed from 6 teachers and 15 students is

Simplifying this gives

This further gives

Cancel out common factors

Therefore, the number of ways the committee can be formed is 8190 ways

Answer:

60 copies

Step-by-step explanation:

$15/150 = 0.1 each copy costs 1 cent

$6/$0.1 = 60 copies

Answer:

60 copies

Step-by-step explanation:

After using Unitary Method, We find that one copy costs 0.1 dollar. So divide 6.00 dollars by 0.1 and we find 60

For checking, we can multiply 60 by 0.1 and we get the same answer

Answer:

Step-by-step explanation:

The perimeter of the wire picture frame will be 62.8 inches.

What is the circumference of a circle?

Let d be the radius of the circle.

The circumference of the circle will be

C = 2πr units

Kiran bent some wire around a rectangle to make a picture frame. The rectangle is 8 inches by 10 inches.

From the figure, the radius of each semi-circle is 1 inch.

The number of the semi-circle is 14 and the number of the three-fourth circle is 4. Then the perimeter of the wire will be

I HOPE THIS IS FINE!!!!

Answer:

a = 3

b = 2

Step-by-step explanation:

The ratio of the corresponding sides of two similar triangles are always equal. Therefore,

9/a = 18/6 = 6/b

✔️Let's solve for a:

9/a = 18/6

9/a = 3

Cross multiply

a*3 = 9

Divide both sides by 3

a = 9/3

a = 3

✔️Let's find b:

18/6 = 6/b

3 = 6/b

3*b = 6

b = 6/3

b = 2

Before we can answer this question, it is important to understand the difference between the rate of change and the initial value.

The rate of change is the slope of a function. It describes the increase in y in response to an increase in x. In this problem, the y-axis represents the number of lawns mowed, and the x represents the months. So, the rate of change would be the number of lawns mowed per month.

The initial value in this problem describes how many lawns were mowed initially. It does not depend on x, which is what differentiates it from the rate of change. If we were thinking about a random function, it would be the y-intercept.

We are told that Homer mowed 5 lawns in the first month. This means that the initial value would be 5 lawns. We are also told that he increased the number of lawns he mowed by 2 each month. This means that each month, Homer mowed two more lawns than he did in the previous month. The rate of change is 2 lawns per month.

If we were to put these together, only the second choice accurately interprets the rate of change and the initial value. Initial value: 5 lawns, Rate of change: 2 lawns per month

(9) The slope of a line perpendicular to the line, f(x) = 0.75x + 6 is - 4/3.

(10) The slope of a line parallel to this line, y = 10 -8x is -8.

The slope of a line perpendicular to the line is the negative reciprocal of the slope of the line equation.

Question 9.

f(x) = 0.75x + 6

where;

The slope of a line perpendicular to this line = -1/0.75 = -100/75 = -4/3

Question 10.

For the equation of another line, y = 10 - 8x

The slope of a line parallel to this line is equal to the slope of this line and it is calculated as follows;

y = 10 - 8x

where;

slope of a line parallel to the line = -8

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Answer:

B.) 3x=15

Step-by-step explanation:

This is because you multiply 3 by x and if x=5 then it would be 3x5 thus resulting in 15

1) Plug 5 into all the spots for x. See if it makes the equation true.

A. 2+5 = 3  Nope

B. 3(5) = 15 Yep

C. 5/2 = 10 Nuh-uh

D. 5-7 = 12  Nah

B is the answer :)

I'm not sure if you need the answer to #2 but I'll answer it anyway. :)

2) An equation has to have a solution. This means it has an equal sign. C is the only one that has an equal sign.

C is the answer :)

Answer:

first blank is "rhombus"

second blank is "rectangle"

third blank is "are congruent"

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Let's call the missing side x

This is a right triangle and in right triangles the square length of hypotenuse is equal to sum of square length of base and side lengths

53^2 = 28^2 + x^2

x = 45

Answer:

T = 5n + 7

Step-by-step explanation:

Bonnie : n

Clara : 3n

Danesh : 7 + n

T = n + 3n + 7 + n

T = 5n + 7