An equilateral triangle has a side length of 7 cm. If a perpendicular is dropped from a corner, what is the length of the perpendicular?

Answer:

£55.25

Step-by-step explanation:

Cost after reduction

=Cost before sale - Reduction in cost

= 85 - 35% of 85

= 85 - 0.35*85

= 85 - 29.75

= £55.25

Answer:

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

20,000 is the length of the book with 20,000 pages.

Answer:

Against the way of life.

Step-by-step explanation:

The prefix anti means against so you would just combine it with biotic which means way of life in order to get against the way of life.

Answer:

if 8:00 is in the 24 hr clock then it is 08:00 am

Step-by-step explanation:

Answer:

Angle B = 51.06 degrees

Step-by-step explanation:

arcsin(7/9)=Angle B

Therefore, Angle B = 51.06 degrees

Answer:

The diameter of the floor is 6 yards

Step-by-step explanation:

Here, we are to calculate the diameter of a circular floor that has a circumference of 18.84 yards

Mathematically,

C = π * D

where C is the circumference

Plugging the values of the circumference , we have ;

18.84 = 22/7 * D

7 * 18.84 = 22D

D = (7* 18.84)/22 = 5.99 which is approximately 6 yards

Answer:

The cost of the carpet at Magic Carpet is: 90 + 9*(area of carpet)

The cost of carpet at Carpeteria is: 50 + 13*(area of carpet)

The algebraic expression for which the cost is the same is: 90 + 9*(area of carpet) = 50 + 13*(area of carpet)

The area of carpet for which the cost is the same is: 10 square yard

Step-by-step explanation:

6a) The cost for magic carpet:

This company charges a fixed fee and a price for each square yard of carpeting, therfore the expression for the cost is:

cost = 90 + 9*a

Where a is the area of carpet to be installed.

6)b) The cost for Capeteria:

This company also charges a fixed fee and a price for each square yard of carpeting, so the expression is:

cost = 50 + 13*a.

6) c) The algebraic expression for the cost to be the same in both stores:

90 + 9*a = 50 + 13*a

6) d) We need to solve the expression above for a:

50 + 13*a = 90 + 9*a

13*a - 9*a = 90 - 50

4*a = 40

a = 40/4 = 10

Answer:

8x-4

Step-by-step explanation:

3x-3+x+1+?=12x-6

4x-2+?=12x-6

4x+?=12x-4

?=8x-4

Therefore, 8x-4

Answer:

54%

Step-by-step explanation:

For this case you can solve the problem by applying a simple rule of three in which we have

 520 ---> 100%

 800 ---> x

 Clearing x we have

 x = (800/520) * 100 = 154%

 the percentage increase in cost was

 154-100 = 54%

 answer

 the percentage increase in cost was 54%

Answer:

12 and 7

Step-by-step explanation:

Answer:

|-3| - |6| = 9

| 6 - -3| = | 6+3| = 9

Step-by-step explanation:

The distance between points is given by

d = sqrt( (x2 -x1) ^2 + (y2-y1) ^2 )

Since the y coordinates are the same

d = sqrt( (x2 -x1) ^2  )

d = sqrt( x2-x1)^2)

Or the distance between the two points

The distance between them is 9 units

|-3| - |6| = 9

| 6 - -3| = | 6+3| = 9

Answer:

a= 55.5

b= 45

hope it is helpful for u

Answer:

$250 + $23x

Step-by-step explanation:

One time set-up fee for jerseys = $250

cost of one jersey = $23

therefore, cost x jersey = cost of one jersey*x = 23x

Total cost for this deal will be sum of  One time set-up fee for jerseys and cost x jersey

Total cost = One time set-up fee for jerseys + cost x jersey

Total cost =  $250 + $23x

Expression represents the total cost of x number of jerseys for the team is  $250 + $23x.

Answer:

The below is the first of paragraph in the question which is missing:

Suppose that 10 years ago you bought a home for $150,000, paying 10% as a down payment, and financing the rest at 8% interest for 30 years.

$22,319.00

Step-by-step explanation:

In order to determine the portion of the original loan that has been paid off,we need to ascertain the original loan amount as below:

loan amount=purchase price of the home-down payment

purchase price  is $150,000

down-payment =10%*$150,000=$15,000

loan amount=$150,000-$15,000=$135,000

If the loan amount has reduced to $112,681,hence the loan amount paid off is the difference between the original loan amount and the balance now:

original loan paid off=$135,000-$112,681=$22,319.00  

Answer: 2.291

Step-by-step explanation:

Answer:

2.291

Step-by-step explanation:

The other guy awnser correct, checked through test

Answer:

t1 = 14  d= -2

Step-by-step explanation:

tn = t1 + d ( n-1)

t6 = t1 + d(6-1)

4 = t1+ 5d

t10 = t1 +d (10-1)

-4 = t1 +d9

Take the two equations and subtract to eliminate a1

4 = t1+ 5d

- (-4 = t1 +d9)

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

4 = t1+ 5d

+4 =- t1 -d9

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

8  =   -4d

Divide each side by -4

8/-4 = -4d/-4

-2 =d

Now we can find t1

4 = t1+ 5d

4 = t1 + 5(-2)

4 = t1 -10

Add 10 to each side

4+10 = t1

14 = t1

Answer:

A

Step-by-step explanation:

t1 = a

tn = a + (n-1)d

t6 = a + 5d = 4

a = 4 - 5d

t10 = a + 9d = -4

4 - 5d + 9d = -4

-8 = 4d

d = -2

a = 4 - 5(-2)

= 4 + 10

= 14

Answer:

The first graph

Step-by-step explanation:

-2a - 5 > 3

-2a > 8

a < -4 (when divided by a negative number, the inequality sign will be flipped)

Therefor the first graph shows the solutions

let's first convert this to number form.

3^6 / 3^3= what?

to divide a number with the same base but different exponent, we simply subtract the second exponent by the first exponent.

3^6 / 3^3 = 3^6-3=3^3

Answer:

 1.041.

Step-by-step explanation:

4.1 % = 4.1 / 100 = 0.041 as a decimal fraction.

So ehen we increase a quantity by 4.1% we multiply by  1.041.

Answer:

Step-by-step explanation:

(sin5-sin15+sin25-sin 35)/(cos 5-cos 15+cos 25 +cos 35)[tex]=\frac{-(sin 35-sin 5)+(sin 25-sin 15)}{(cos 35+cos 5)-(cos 25+cos 15)} \\[/tex]

[tex]=\frac{-2 cos \frac{35+5}{2}sin \frac{35-5}{2}+2 cos \frac{25+15}{2} sin \frac{25-15}{2} }{2cos \frac{35+5}{2}cos \frac{35-5}{2}-2cos \frac{25+15}{2} cos \frac{25-15}{2} }[/tex]

[tex]=\frac{-cos 20 sin 15+cos 20 sin 5}{cos 20 cos 15-cos 20 cos 5} \\[/tex]

[tex]=\frac{- cos 20(sin 15-sin 5)}{cos 20(cos 15-cos 5)}[/tex]

[tex]=\frac{-(sin 15-sin 5)}{cos 15-cos 5)} \\=\frac{-2cos \frac{15+5}{2}sin \frac{15-5}{2} }{-2 sin \frac{15+5}{2}sin \frac{15-5}{2} } } }[/tex]

[tex]=\frac{cos 10 sin 5}{sin 10 sin 5}[/tex]

[tex]=\frac{cos 10}{sin 10}[/tex]

=cot 10

Answer:

Think about a dice. When a dice is rolled there are 6 possible outcomes: 1, 2, 3, 4, 5 and 6. To find the probability of the event of rolling a 4, find the number of possible ways of rolling a 4 and divide it by the total number of possible outcomes.

There is one way of rolling a 4 and there are six possible outcomes, so the probability of rolling a 4 on a dice is . This is called the ‘theoretical probability’ - in theory, if you roll a dice six times then you should roll a 4 once.

I think this will help

Step-by-step explanation:

Answer: the answer is 5/8.

Step-by-step explanation:

Answer:

0 < x < 50

Step-by-step explanation:

We start out with a square (which IS a rhombus for all sides are equal in

length. That's when the diagonals are equal in length, which, by the

Pythagorean theorem equal to

5*√2

C^2=a^2+b^2

=25^2+25^2

Factorise

c^2=25^2 × 2

c=square root of 25^2 × 2

That is

c=√25^2 × 2

=5×√2

As we decrease the angle on the bottom left and increase the angle on

the bottom right, the green diagonal increases to 25+25 or 50, but never gets to 50. The red diagonal shrinks to 0 but never gets to 0.

the lengths of a diagonal can only be in the open interval from 0 to 50. In interval notation that is (0,50) or 0 < x < 50.

Answer:

Minimum value: 0, Maximum value: 50

Step-by-step explanation:

A rhombus is a quadrilateral with side of same length but different angle pairs. Let consider the following rhombus (See attachment). It is known that sum of all angles in quadrilateral is equal to 360°. The length of each diagonal is, respectively:

[tex]d_{1} = 2\cdot l\cdot \sin 0.5\alpha[/tex]

[tex]d_{2} = 2\cdot l \cdot \sin (90-0.5\alpha)[/tex]

[tex]d_{2} = 2\cdot l \cdot (\sin 90^{\circ}\cdot \cos 0.5\alpha - \cos 90 \cdot \sin 0.5\alpha)[/tex]

[tex]d_{2} = 2\cdot l \cdot \cos 0.5\alpha[/tex]

Each expression shows that value of a diagonal changes at the expense of the other one inasmuch angle changes. The minimum and maximum values of any of the diagonal occur when trigonometric functions are equal to 0 and 1, respectively.

Minimum value: [tex]d_{min} = 0[/tex], Maximum value: [tex]d_{max} = 2\cdot l = 2 \cdot (25) = 50[/tex]

Answer: Choice B.

Step-by-step explanation:

Censuses are complete data collections of every member of a population.

For example, the U.S. Census occurs every 10 years and documents every member of the American population.

Choice A only surveys the first ten students; this is not a complete census.

Choice B surveys all the students in the targeted data group. This is a census.

Choice C only surveys the male students, even though there are female students in his data group. This is not a census.

Choice D only surveys the girls on the soccer team, even though there may be boys on the team as well. This is not a census.

Choice E only surveys his friends in the chorus, even though there may have been people that were not his close friends. This is not a census.

Only choice B is a complete census.

Answer:

choice B

Step-by-step explanation:

because choice b is the only complete census  

Answer:

Axis of symmetry: x = 1

Vertex = [tex](1,-4)[/tex]

Step-by-step explanation:

Given: graph indicating quadratic function

To find: Vertex (ordered pair), axis of symmetry

Solution:

A vertical line that divides the parabola into two congruent halves is known as  the axis of symmetry.

The point where the parabola crosses its axis of symmetry is known as the vertex of a parabola.

From the graph,

axis of symmetry: x = 1

Vertex = [tex](1,-4)[/tex]

Answer:

[tex]-\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given two points (-9,-6) and (3,-9). The slope of the line through the points is determined by the formula:

[tex]Slope, m=\dfrac{y_2-y_1}{x_2-x_1} ,$ where (x_1,y_1)=(-9,-6), (x_2,y_2)=(3,-9)\\$Therefore:\\ m=\dfrac{-9-(-6)}{3-(-9)}\\=\dfrac{-9+6}{3+9}\\=\dfrac{-3}{12}\\\\m=-\dfrac{1}{4}\\[/tex]

The slope of the line through the points (-9,-6) and (3,-9) is [tex]-\dfrac{1}{4}[/tex]

Answer:

the slope of the line through the points (-9,-6) and (3,-9) is [tex]-\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given that,

Points (x₁ , y₁) is (-9,-6) respectively and

( x₂ , y₂) is (3,-9) respectively.

The slope of the line through the points is determined by the formula:

[tex]Slope, m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

where x₁ = -9

y₁ = -6

x₂ = 3

y₂ = -9

Therefore:

[tex]\\ m=\dfrac{-9-(-6)}{3-(-9)}\\=\dfrac{-9+6}{3+9}\\=\dfrac{-3}{12}\\\\m=-\dfrac{1}{4}\\[/tex]

Therefore, the slope of the line through the points (-9,-6) and (3,-9) is [tex]-\dfrac{1}{4}[/tex]

Answer:3,969[tex]^{2}[/tex](squared) or 63

Step-by-step explanation:

First you must plug the answers into the equation A[tex]^{2}[/tex] + B[tex]^{2}[/tex]=C[tex]^{2}[/tex]

Then you square the numbers. example: 2[tex]^{2}[/tex]=2 x 2=4

After that you subtract from both sides of the equation to get the variable by itself.     Example:   4+b[tex]^{2}[/tex]=10    

                              -4       -4

                                 b[tex]^{2}[/tex]=10

After that you square both sides or you could say answer[tex]^{2}[/tex]

Answer:

cosθ= [tex] \frac{ \sqrt{15} }{8} [/tex]

Step-by-step explanation:

Please see attached picture for full solution.

In the 4th quadrant, the cosine of an angle is positive.

The opposite side takes the negative sign in -⅞ since it is below the x-axis. Likewise, we reject [tex]x = - \sqrt{15} [/tex] since x lies on the right side of the y axis.