find the area of isosceles triangle whose each side is 13cm and base 24cm.show by heron's formula!!
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Answer:

when you wrote question there will be pin sign then you will attach any image   easily

Step-by-step explanation:

Answer:

Its the triangle one

Step-by-step explanation:

Just count them and you will see there are only 7 not 8 :)    

Step-by-step explanation:

for each hour she works , her earnings go up by $10

The first one is the correct answer, because the slope of the line is

$(60-0)/(6.0 hours)

= 60/6 $/hour

=10 $/hour.

Answer:$10 .per hour

Step-by-step explanation:

Answer:

m = 5/8

Step-by-step explanation:

                                                2 - (-3)

The slope is m = rise / run = ------------- =  5/8

                                                 6 - (-2)

Answer:

The answer is 5/8

Step-by-step explanation.

The equation for slope is y2-y1/x2-x1. In this case, it would equal 2-(-3)/6-(-2). When you simplify this you get 5/8.

Answer:

D

Step-by-step explanation:

the scale factor will be the square of the fraction

7/4 =49/16

Answer:

D

Step-by-step explanation:

Answer:

5x + 10 = 10

Step-by-step explanation:

5x + 10 = 10

5x = 10 - 10

5x = 0

x = 0/5

x = 0

Only one solution.

Answer:

a

Step-by-step explanation:

====================================================

Work Shown:

F = first test data set

F = {1,3,5,5,7,7,7,8,8,8,8,9,9,9,9,9,9,9,9,10,10,10,10,10,10}

m = mean of set F

m = (sum of values in set F)/(number of values in set F)

m = (1+3+5+5+7+7+7+8+8+8+8+9+9+9+9+9+9+9+9+10+10+10+10+10+10)/25

m = 199/25

m = 7.96

----------

L = last test data set

L = {3,4,4,5,5,6,6,6,7,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10}

n = mean of set L

n = (sum of values in set L)/(number of values in set L)

n = (3+4+4+5+5+6+6+6+7+7+7+7+7+7+8+8+8+8+8+9+9+9+9+10+10)/25

n = 177/25

n = 7.08

----------

d = difference in means

d = m - n

d = 7.96 - 7.08

d = 0.88

Answer:

Area of a trapezium = 1/2(a+b)×h

where a and b are parallel sides of the trapezium

h is the height

First question

We must first find the height of the trapezium using Pythagoras theorem

That's

h² = 8² -3²

h =√ 64 - 9

h = √ 55m

a = 7m

b = 10+3 = 13m

Area of the trapezoid = 1/2(7+13)×√55

= 1/2×20×√55

= 74.16

= 74m² to the nearest tenth

Second question

We use sine to find the height

sin30° = h/12

h = 12 sin 30°

h = 6 in

Let the other half of the parallel side be x

To find the other half of the parallel side we use Pythagoras theorem

That's

x² = 12²- 6²

x = √144-36

x = √108

x = 6√3 in

So for this trapezoid

a = 9 in

b = (9 + 6√3) in

h = 6 in

Area of the trapezoid = 1/2(9 + 9+6√3) × 6

= 1/2(18+6√3)×6

= 85.176 in²

= 85 in² to the nearest tenth

Hope this helps you

Answer:

The first (left) trapezoid's area is [tex]10\sqrt{55}[/tex]m or ≈ 74.2m²

The second (right) trapezoid's area is [tex]54 +18\sqrt{3}[/tex] or ≈ 85.2 in²

Step-by-step explanation:

First trapezoid (left):

Because the first trapezoid is a normal trapezoid, we can use the equation [tex]A = \frac{a+ b}{2} * h[/tex] Where a is equal to one base length and b is equal to the other base length and h is the height of the trapezoid.

a = 7

b = 13

h = [tex]\sqrt{55}[/tex]   ([tex]3^{2}+h^{2} = 8^{2}[/tex])

Plug into the equation:

[tex]A = \frac{7+13}{2} *\sqrt{55}[/tex]

A = [tex]10\sqrt{55}[/tex] or ≈74.2m²

Second trapezoid (right):

Not a normal trapezoid (split into a triangle and a square)

Let's solve for the triangle first:

using [tex]sin(30) = \frac{x}{12}[/tex] to find the right-hand side of the triangle we get x = 6

because this is a 30 60 triangle, the last side has to be [tex]6\sqrt{3}[/tex]

Now we can calculate the area of the figure:

Triangle is [tex]\frac{1}{2} * 6 * 6\sqrt{3} = 18\sqrt{3}[/tex]

Rectangle is 6 * 9 = 54

Area = [tex]54 +18\sqrt{3}[/tex] or ≈ 85.2 in²

Answer:

idk

Step-by-step explanation:

I'm going to do some deep research to find the answer. One sec

Answer:

There are 5 groundhogs and 10 crows.

Step-by-step explanation:

Ok, so there are 15 animals and 40 legs. So, groundhogs have 4 legs while crows have 2. Lets say x= our groundhog legs, and y= our crow legs. Our equations are 4x+2y=40 and x+y=15. Now that we have the equations needed we just have to solve them. Now we subtract the two equations from each other. So, this would get,

                                                                            4x+2y=40

                                                                           -   x+  y=15

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

                                                                               3x+y=25.

Now we need to subtract x to the other side. So, now we have y=25-3x. The only solution to this problem is (5,10). 25-3(5)=25-15=10. To check this lets put them into our original equations, 4x+2y=40 and x+y=15. So, 4(5) + 2(10)=20+20=40, and 5+10=15! So there's your answer.

Answer:

27x^6

Step-by-step explanation:

Answer:

Answer: Option A F(x)=

Explanation:

Quadratic function is the function which has degree two

Degree is the highest power of a polynomial

In option B we have |x| in which degree is one hence, discarded

In option C we have  in which degree is three hence, discarded

In option D we have x which is a linear function being of degree one. Hence, discarded.

Answer:

D

Step-by-step explanation:

Answer:

5x +3y>-15

5(0)+3(0)

0+0=   0 > -15

Step by step explanation

We have to create a scenario that leads to an inequality of the form ax + b > c.

Word problem: A family went to an park. Entry fee of the park for a family is $20 and the cost of a ride is $10 per person. The family spent more than $100 on that ride.

The required inequality is

Subtract 20 from both sides.

Divide both sides by 10.

It means the number of rides must be greater than 8.

Answer:

>

Step-by-step explanation:

On the left side, we divide first: 12/4=3

On the left side, we get 3+13, which equals 16.

On the right side, we also divide first: 22/2=11

On the right side, we get 11+2, which equals 13.

We know that 16 is larger than 13, so  

12 ÷ 4 + 13 > 2 + 22 ÷ 2

Hope this helps!

Answer:

>

Step-by-step explanation:

Answer & Step-by-step explanation:

Answer:

[tex]B - A = -6[/tex]

Step-by-step explanation:

Given

Point: (-7,2)

x + 3y = -5

Required

Find B- - A in Ax + By = 3

To start with; we need to calculate the slope of x + 3y = -5

[tex]x + 3y = -5[/tex]

Subtract x from both sides

[tex]x - x + 3y = -5 - x[/tex]

[tex]3y = -5 - x[/tex]

Divide both sides by 3

[tex]\frac{3y}{3} = -\frac{5}{3} - \frac{x}{3}[/tex]

[tex]y = -\frac{5}{3} - \frac{x}{3}[/tex]

The slope of the line is the coefficient of x

Slope = [tex]- \frac{1}{3}[/tex]

The question says line Ax + By = 3 is parallel to line x + 3y = -5; This means that they have the same slope of [tex]- \frac{1}{3}[/tex]

Having calculated the slope, next is to calculate the equation of the line using the following formula;

[tex]m = \frac{y - y_1}{x - x_1}[/tex]

Where m is the slope; m = [tex]- \frac{1}{3}[/tex]; [tex](x_1, y_1) = (-7,2)[/tex]

Substitute these values in the formula above; the formula becomes

[tex]-\frac{1}{3} = \frac{y - 2}{x - -7}[/tex]

[tex]-\frac{1}{3} = \frac{y - 2}{x +7}[/tex]

Cross Multiply

[tex]-1(x+7) = 3(y-2)[/tex]

Open brackets

[tex]-x - 7 = 3y - 6[/tex]

Add x to both sides

[tex]x - x - 7 = 3y - 6 + x[/tex]

[tex]-7 = 3y - 6 +x[/tex]

Add 6 to both sides

[tex]-7 + 6 = 3y -6 + 6 + x[/tex]

[tex]-1 = 3y + x[/tex]

Multipby both sides by -3

[tex]-3(-1) = -3(3y + x)[/tex]

[tex]3 = -9y - 3x[/tex]

[tex]-9y - 3x = 3[/tex]

[tex]-3x - 9y = 3[/tex]

Comparing the above to Ax + By = 3

[tex]Ax = -3x\\A = -3[/tex]

[tex]By = -9y\\B = -9[/tex]

[tex]B - A = -9 - (-3)[/tex]

[tex]B - A = -9 + 3[/tex]

[tex]B - A = -6[/tex]

Answer:

Explanation:

Let R be a relation from A to B.Then the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the range.

Hope this helps...

Good luck on your assignment..

Answer:

The answer is option A.

Step-by-step explanation:

-5x-10 <20

Group like terms

-5x < 20 + 10

-5x < 30

Divide both sides by -5

x > - 6

Hope this helps

Hope this helps

Answer:

Step-by-step explanation:

2x^2+10x+12  greatest common factor is 2

2(x^2+5x+6)=

2(x+2)(x+3)

Answer:

Let's denote:

The event of driving while using a cell phone: A

The event of having a traffic accident: B

The event of driving while using a cell phone and having a traffic accident:  A⋂B

P(A) = 11% = 0.11

P(B) = 5.26% = 0.526

P(A⋂B) = 28% = 0.28

If event A and event B are independent (it means the cause of a traffic accident is nothing related to driving while using a cell phone), then:

P(A) x P(B) = P(A⋂B)

Let's check:

P(A) x P(B) = 0.11 x 0.526 = 0.05786 and not equal to P(A⋂B) = 0.28

=> Event A and event B are not independent. In other words, they are related. (it means driving while using a cell phone is one of the reasons for having a traffic accident)

Answer:

this question is incorrect

Is this question incorrect ? Have u definitely put the correct question you have been asked ?

Answer:

The answer is A

Step-by-step explanation:

Process of elimination. None of the others make sense.

Answer:

x = 2 or x = -4

Step-by-step explanation:

Solve for x over the real numbers:

-x^2 - 2 x + 8 = 0

Multiply both sides by -1:

x^2 + 2 x - 8 = 0

Add 8 to both sides:

x^2 + 2 x = 8

Add 1 to both sides:

x^2 + 2 x + 1 = 9

Write the left hand side as a square:

(x + 1)^2 = 9

Take the square root of both sides:

x + 1 = 3 or x + 1 = -3

Subtract 1 from both sides:

x = 2 or x + 1 = -3

Subtract 1 from both sides:

Answer: x = 2 or x = -4

Answer:

Step-by-step explanation:

volume =πr²h=π×7²×17≈2616.9 cm³

The volume of a cylinder is 2616.95 cubic centimeters.

It is defined as a three-dimensional space enclosed by an object or thing.

We have:

The height of the cylinder h = 17 cm

Base radius of the cylinder r = 7 cm

We know the volume of a cylinder is given by:

[tex]\rm V = \pi r^2h[/tex]

[tex]\rm V = \pi\times 7^2\times17[/tex]

V = 833π cubic centimeters

V = 833×3.141592

V = 2616.94668 cubic centimeters or

V = 2616.95 cubic centimeters.

Thus, the volume of a cylinder is 2616.95 cubic centimeters.

Learn more about the volume here:

https://brainly.com/question/16788902

Answer: D. FL | GK

Step-by-step explanation:

Assuming that it's a cube made of up line segments, you know that line FL and line GK are parallel because they will never intersect or meet.

Answer:

Third option

Step-by-step explanation:

Plot the following (-20,5) , (1,5)

[tex]20 - 1 = 19[/tex]

Or you can just count the units from (-20,5) to (1,5) which is a 19 unit difference, remember that units is per square. The answer is the third option.

Hope this helps.

Answer:

It is the first option: (-14, 12) and (5, 12).

Step-by-step explanation:

Because the x-values are -14 and 5, and 5 - (-14) is 19, whereas the y-values stay the same. So the points (-14, 12) and (5, 12) are 19 units apart. You can also graph this and count the units from -14 to 5.

Answer:

The sum of any rational number and any irrational number will always be an irrational number. This allows us to quickly conclude that ½+√2 is irrational.

Step-by-step explanation:

Answer:

(-4,7)

Step-by-step explanation:

Given

A point on f(x) = (-1,7)

Required

Find the coordinates of f(x+3)

The given parameter can be rewritten as

[tex]f(-1) = 7[/tex]

We're to solve for [tex]f(x+3)[/tex]

By comparing [tex]f(-1) = 7[/tex] to [tex]f(x+3)[/tex];

The expressions in the bracket implies that

[tex]-1 = x + 3[/tex]

Subtract 3 from both sides

[tex]-1 - 3 = x + 3 - 3[/tex]

[tex]-1 - 3 = x[/tex]

[tex]-4 = x[/tex]

[tex]x = -4[/tex]

Stil comparing

[tex]f(-1) = 7[/tex] to [tex]f(x+3)[/tex];

If f(-1) = f(x + 3) then

[tex]f(x +3)= 7[/tex]

Hence, the coordinates of f(x+3) is (-4,7)

Answer:

7, with shaded dot (I hope this helps you)

Explanation:

Answer:

A (in $USD) = 5,000(1 + .04/4)^4(8)

A = 5000(1 + 0.01)^32

A = 5000(1.01)^32

A = 5000(1.37494068)

A ≈ 6874.7034

A = $6875 or $6875.7 (depending on rounding requirement)

Step-by-step explanation:

Compound Interest Formula

A = P(1+ r/n)^n(t)

*If the interest is compounded monthly n = 12, if quarterly n = 4, if daily n = 365.

Answer:

-12

Step-by-step explanation:

6 ÷ -1/2

Copy dot flip

6 * -2/1

-12