The area of a triangle is 7.5 . The base of the triangle is 5 cm .what is the height of this triangle.

Answer:

Acount is a great place to work for a loved ones like you a few months

Answer: [tex]b^{2}(1-21a^{3})[/tex]

Step-by-step explanation:

[tex]b^{2} - 21a^{3} b^{2} \\b^{2}(1-21a^{3})[/tex]

Answer:

80 feet

Step-by-step explanation:

Area = length x width

We need to find length

[tex]2280 = 28.5l[/tex]

divide both sides by 28.5

[tex]l = 80[/tex]

Answer:

x = 10

Step-by-step explanation:

I assume you mean

sqrt(x + 6) = x - 6

let's square the whole equation :

x + 6 = (x - 6)² = x² - 12x + 36

x² - 13x + 30 = 0

the general solution to a quadratic equation is

x = (-b ±sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -13

c = 30

x = (13 ±sqrt(13² - 4×1×30))/(2×1) =

= (13 ±sqrt(169 - 120))/2 = (13 ±sqrt(49))/2 =

= (13 ± 7)/2

x1 = (13 + 7)/2 = 20/2 = 10

x2 = (13 - 7)/2 = 6/2 = 3

for x = 10 we get for the original equation

sqrt(10+6) = 10-6 = 4

sqrt(16) = 4

4 = 4

so, x = 10 is a valid solution.

for x = 3 we get

sqrt(3 + 6) = 3 - 6 = -3

sqrt(9) = -3

3 = -3

so, this (x = 3) counts as an invalid solution, because most teachers nowadays expect the square root symbol operation to deliver only the positive solution.

although a square root is actually representing both : the positive AND the negative solution, because the negative number multiplied by itself is the same result as the positive number multiplied by itself.

so, actually

sqrt(9) = -3

± 3 = -3

is still correct and valid. but not what your teacher expects most likely.

in my younger days only the square root of a negative number counted as invalid operation (in the space of Real numbers, of course), and therefore only a solution leading to a square root of a negative number was an invalid solution.

Answer:

Step-by-step explanation:

National car rental equation is

C = 14d + 0.20m  

- where C= total cost, d = the number of days and m = the total number of miles driven.

Answer:

A polygon is a plane figure.

Step-by-step explanation:

This means it is a 2 dimensional shape that lies flat, it has length and width, it has area but no thickness.

There is no max number of sides, so the first answer is not right.

In math, saying it is solid means its 3-d, so that is not right (it's only 2-d)

Saying its open, means that somewhere on the shape, the sides don't meet up at a corner, like an animal corral with the gate left open. So that's not right. Part of the definition of a polygon is that it is closed.

It is a 2-d shape with straight sides and closed, it lies flat in a plane. The last answer is correct.

Answer:

A polygon is a plane figure.

Answer:

165 divided by 11 = 15

154 divided by 14 = 11

306 divided by 17 = 18

322 divided by 14 = 23

Answer:

-3/4

Step-by-step explanation:

Problem

-1 1/4 + 1/2

Comment

This combined with the number line is to help you visualize how fractions can be represented and how you find their sum.

The rule is move left when the number is minus. Move right when the number is plus.

so -1 1/4 = (4*-1   -1 )/4 = - 5/4

Start at 0 and move left. The number beside - 1 on the number  line is -5/4 Put an arrowhead on the line you just drew. The arrowhead should be just about -5/4.

Each mark on the number line is 1/4 away from the next quarter on the number line.

1/2 = 2/4

So since 1/2 is plus, you move right. You need 2 marks right of -5/4. You will find that is at -3/4

Answer:

A. x ≥ 5

Step-by-step explanation:

Given :

2x - 8 ≥ 22 - 4x

Add 8 to each side :

2x - 8 + 8 ≥ 22 - 4x + 8

2x ≥ 30 - 4x

Add 4x to each side :

2x + 4x ≥ 30 - 4x + 4x

6x ≥ 30

Divide both sides by 6 :

1/6 x 6x ≥ 1/6 x 30

x ≥ 5

A mean is an arithmetic average of a set of observations. The score of the student is equal to 63.4.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

Given the mean score was 75, while the standard deviation was 8. Therefore, the score of the student is,

Scre of the student = μ - 1.45σ = 75 - 1.45(8) = 63.4

Hence, the score of the student is equal to 63.4.

Learn more about Mean:

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Answer:

Pencil will poke out everytime, no matter if it lays diagonally, or strictly vertically, because pencil's length is greater than the height and diagonal of the beaker

[tex]\large{\boxed{ \ g(x) = -\dfrac{7}{4} | x -5| +0 \ }}[/tex]

Absolute value of a graph formula:

Identify the vertex : (h, k) = (5, 0)

Take two points : (5, 0), (9, -7)

[tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \dfrac{-7-0}{9-5} \ = \ -\dfrac{7}{4}[/tex]

Join the variables together:   [tex]\bf g(x) = - \dfrac{7}{4} | x -5| +0[/tex]

Answer:

[tex]f(x) = -\dfrac{7}{4}|x-5|+0 [/tex]

Step-by-step explanation:

The function in the coordinate Plane is an absolute value function . Consider the parent function

[tex]f(x) = |x| [/tex]

Recall the properties of transformation

From the inspection of the graph,It has moved to right by 5 units, Thus

[tex]f(x - 5) = |x - 5| [/tex]

Apparently, It has neither shifted up or down, hence

[tex]f(x - 5) +0= |x - 5|+0 [/tex]

Looking at the graph, we can see that it has been reflected vertically. It tells us we have to multiply it by a negative constant

[tex] -a f(x - 5) +0= -a |x - 5| +0[/tex]

take (9,7) to figure out a.

[tex] -a | 9- 5| =7[/tex]

Solving the equation yields:

[tex] \boxed{a = - \frac{7}{4} }[/tex]

hence, our function is [tex]\boxed{f(x) = -\dfrac{7}{4}|x-5|+0} [/tex]

Answer:

27.23 inches

Step-by-step explanation:

question wants circumference over 2π/3 radians

2π/3 times 180/π = 120 degrees

120 is 1/3 of 360

so question wants 1/3 of the circumference

circumference is π times diameter

π times 26 = 81.6814089933

81.6814089933 divided by 3 =

27.2271363311 =

27.23

The slope of the given linear equation is 1/3 and the y-intercept will be 5/6. Then the correct option is D.

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

Identify the slope and y-intercept of the line whose equation is given. Write the y-intercept as an ordered pair.

The linear equation is given below.

[tex]\rm y =\dfrac{5}{6} + \dfrac{x}{3}[/tex]

Then the slope of the equation will be 1/3.

And the y-intercept will be 5/6.

More about the slope link is given below.

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Answer:

d

Step-by-step explanation:

Answer:

39 yd²

Step-by-step explanation:

Two rectangles can be formed here.

One smaller of the dimensions 5 × 3 yd

And another of 8 × 3 yd.

Total area = 5×3 + 8×3 (area of rect. = l×b)

= 15 + 24

= 39 yd²

Answer:

C.

Step-by-step explanation:

7 7/8 rounds up to 8

2 1/10 rounds down to 2

8-3(2)=2

8 - 6 = 2

he would have about 2 pounds left

so the three pounds left is not reasonable

Answer:

$659 weekly

Step-by-step explanation:

John Dalton earns $34,268 annually (yearly)

We want to find his weekly rate if he is paid weekly.

To do so we divide his annual salary by the number of weeks in a year (52)

So weekly rate = 34,268 / 52 = 659

Answer:

D. 496

Step-by-step explanation:

Start by finding original number of pens:

15 boxes x 40 pens per box = 600 pens in all

find number of pens taken:

26 workers x 4 pens each = 104 pens taken

Find number of pens left:

600 original - 104 taken = 496 left

Answer: D. 496

Answer:

D

Step-by-step explanation:

15x40=600

26x4=104

600-104=496

Answer:

35.66

Step-by-step explanation:

Don't work with the mean given at first

1. Multiply the mean of class A by the number of students in class A

35 times 15=525

2. Multiply the mean of class B by the number of pupils in class B

36 times 29=1044

3. Add the answers you got

1044+525

4.Add the pupils of both classes

29+15=44

5.Then divide the total grades and pupils

1569/44 =35.659

6 Then round off

=35.66

Answer:

Step-by-step explanation:

We can see that

The angle formed by intersecting chords measures the half the sum of intercepted arcs.

Answer: 20,-13

Step-by-step explanation:

We can rewrite the problem as an equation. This equation is x(x-7)=260 (x being the mystery number). We can simply this into x^2 -7x=260. We can then rewrite this as x^2 -7x -260=0. We need to find the roots of this quadratic, which are -13 and 20. You can find this by factoring the quadratic.

Answer:

It would most likely be 65

Step-by-step explanation:

180 - 115 = 65

Answer:

115°

Step-by-step explanation:

The measure of an arc is the measure of its central angle.

Since the central angle is 115°, its intercepted arc (which is marked with the questionmark) is also going to be 115°.

Step-by-step explanation:

-10+7=-3 because 10 i greater and (-)(+)=-

-8-3=-11 because the greatest number is in negative form that's why its not in positive form

Hey there!

Guide:

Negative & negative = positive

Positive & positive = positive

Negative & positive = negative

Positive & negative = negative

For -10 + 7 = -3 it doesn’t give you a POSITIVE because you’re working with a negative (-10) and a positive (7), which it results out to be a negative number (-3)

Whereas, -8 - 3 = -11, it doesn’t also give you a positive because you’re working with a negative (-8) and a somewhat positive (3 or -3 it depends how you look at the equation), it gave you a negative result (-11).

KEEP THAT GUIDE IN MIND WHEN YOURE WORKING WITH INTEGERS, IT MAY HELP ON THE LONG WRONG! :)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

A population about which we want to get some information is called the sample.

This is a portion of a population that is known to contain several parts of the population. The information that is gotten from the sample would be used to draw conclusion about the entire information.

Therefore from the definition above the answer to the question is the population sample.

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Answer:

11. [tex]57^{6/8}[/tex]

12. [tex]Y^{14/2}[/tex]

13. [tex]m^{\frac{o+p}{n}}[/tex]

14. [tex]81^{\frac{3}{50+x}}[/tex]

15. [tex]5^{2/3}[/tex]

Step-by-step explanation:

When converting from radicals to rational exponents, there's a quick, easy rule to remember:

The "power" represents the exponent of the radical/radicand, while the "root" represents the index.

11. the eight root of fifty-seven to the sixth degree.

12. the square root of Y to the fourteenth power.

13. the nth root of m to the o plus p degree.

14. The fifth root plus x of eighty-one to the third power.

15. The cube root of five squared.

A - B is the complement of B in A; in other words, all the elements of A that do not belong to B.

Since A ∩ B = {4, 6}, we have

A - B = {2, 8, 10}

Then the complement of A - B, denoted (A - B)' is all the elements of the universal set U that do not belong to A - B.

(A - B)' = {1, 3, 4, 5, 6, 7, 9}