The area of a triangle is 30 cm and its base
is 10 cm. What is the perpendicular height,
in cm, of the triangle?

Answer:

23, - 46, 57, 10, 12

Step-by-step explanation:

(a)

2x + 5 = 2(9) + 5 = 18 + 5 = 23

(b)

4x - 2 = 4(- 11) - 2 = - 44 - 2 = - 46

(c)

x² + 21 = (- 6)² + 21 = 36 + 21 = 57

(d)

[tex]\sqrt{x}[/tex] - 1 = [tex]\sqrt{121}[/tex] - 1 = 11 - 1 = 10

(e)

[tex]\frac{x}{8}[/tex] + [tex]\sqrt[3]{x}[/tex] = [tex]\frac{64}{8}[/tex] + [tex]\sqrt[3]{64}[/tex] = 8 + 4 = 12

Answer:

3  ( x  +  29 )

Step-by-step explanation:

The best I can do is factor them, hope it helps!

Answer:

The pantograph is spring-loaded and pushes a contact shoe up against the underside of the contact wire to draw the current needed to run the train.    As the train moves, the contact shoe slides along the wire and can set up standing waves in the wires which break the contact and degrade current collection.

Step-by-step explanation:

Answer:

12 and 16

Step-by-step explanation:

Turn it into algebra.

Make one of the pieces x. So x+4 is the piece that is 4 feet longer and x is the piece that it is 4 feet longer than.

So x+4+x=28, which is the total length, and if you simplify it, it makes 2x+4=28.

Then you just solve it, so do 28-4=24, and then divide that by 2, which gets 12.

Then you substitute 12 where x has been substituted for the pieces.

One piece is x feet, so that just stays 12, and another piece is x+4, so 12+4 which is 16.

To make sure it's correct, you can check it by doing 16-12=4 and add 12 and 16 together which gets the correct total of 28.

Answer:

17

Step-by-step explanation:

20 divided by 5 + 19 - 6

20 divided by 5 = 4

4 + 19 = 23

23 - 6 = 17

Answer:

2

Step-by-step explanation:

Plug in 3 for the a's and -2 for the b's:

[tex]-2^{2} -(-2 + 3(3)) + 3 = ?[/tex]

Then simplify:

[tex]4 - (-2 + 9) + 3 = ?[/tex]

remember to add 1 as a placeholder if the sign before the parenthesis is a minus:

[tex]4 + 4 - 9 + 3 = ?[/tex]

Solve:

[tex]4 +4 -9+3=2[/tex]

Step-by-step explanation:

but the graph is not given here

Answer:

13

Step-by-step explanation:

k = 12

A= 3

H = 4

So 12-3+4 is 13

Answer:

13

Step-by-step explanation:

Plug in the numbers for the variables.

12-3+4

Then solve in order.

12- 3 = 9

9+4 = 13.

Answer:

The answer is C

Step-by-step explanation:

An arithmetic sequence with common difference 6

(-3)-(-9) = 6

3 - (-3) = 6

9 - 3 = 6

15 - 9 = 6

Answer:

-1

Step-by-step explanation:

We can use the slope formula to find the slope

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

Using the points on the line  (-2,0) and (0,-2)

m = ( -2-0)/(0- -2)

   = (-2-0)/(0+2)

   -2/2

   -1

Answer:

4

Step-by-step explanation:

[tex]\frac{10}{25}[/tex] × 10

[tex]\frac{100}{25}[/tex]

4

Answer:

1) YES

2)NO

3)YES

4)YES

5)YES

Step-by-step explanation:

HOPE IT CAN HELP YOU LOVELOTS

Answer:

length = x + 3

width = x + 2

Step-by-step explanation:

Hope it helps:)

Answer:

4

Step-by-step explanation:

These both angles are vertically opposite angles. And, vertically opposite angles are equal. So,

→ 5x ― 6 = 3x + 2

→ 5x ― 3x = 2 + 6

→ 2x = 8

→ x = 8/2

→ x = 4

Therefore, the value of x is 4.

Answer:

what is the imaginary part of 84-25i

Step-by-step explanation:

the result is -25i

I hope I've helped

Answer:

Letter b

Step-by-step explanation:

because it is

Answer:

[tex]106 yd^2[/tex]

Step-by-step explanation:

Answer is attached. Let me know if you would like another explanation that would yield the same solution.

Answer:

-3/7

Step-by-step explanation:

Hi,

First of all, we know that the slope is not undefine because both the x-coordinates are not the same.

To find the slope, do change in y/change in x. Here, it would be ((2/7)-(5/7))/(2-1) or (-3/7)/1. Hence, the slope is -3/7.

Step-by-step explanation:

sorry for my ugly handwriting, hope it helps

Answer:

wow

Step-by-step explanation:

Answer:Yes

Step-by-step explanation:You are multiplying the ratios by 4

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The equivalent expression is ~

[tex] \boxed{27 {x}^{2} }[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

Answer:

C) (12x-5)(2x-1)

Step-by-step explanation:

12x multiplies 2x to give 24x²

then 12x multiply -1 to give -12x

then -5 multiply 2x to give -10x

then -5 multiply -1 to give 5

that will be 24x²-12x-10x+5

our and =24x²-22x+5

Answer:

r≈93

Step-by-step explanation:

V=4/3πr³

3,367,575=4/3(3.14)r³

3,367,575=314/75r³

multiply both sides by 75/314

804357 27/314=r³

∛804357 27/314=∛r³

r≈93

A restricted lifestyle is not an advantage of renting.

Option D is the correct answer.

Renting a property has several advantages, such as ease of mobility, fewer responsibilities, and lower initial costs.

We have,

Ease of mobility is an advantage because it is easier for renters to move to a new location since they are not tied down to a specific property.

Fewer responsibilities are another advantage because the landlord is usually responsible for maintaining the property, making repairs, and paying for utilities.

This means that renters do not have to worry about these tasks or expenses.

Lower initial costs are also an advantage because renters do not have to pay for a down payment or closing costs, which can be a significant expense when purchasing a property.

A restricted lifestyle is not an advantage of renting.

This is because renters may be limited in terms of decorating, making changes to the property, or having pets.

Renters may also have to abide by certain rules set by the landlord or property management company.

This can limit their freedom and personalization of the space.

Thus,

A restricted lifestyle is not an advantage of renting.

Learn more about renting here:

https://brainly.com/question/26268428

#SPJ5

Answer:

Number of Spiders: 8

Number of Dragonflies: 7

Number of Houseflies: 5

Step-by-step explanation:

s= spider

d= dragonfly

h= housefly

Heads:

20= s+d+h

Legs:

136= 8s+6d+6h

Wings:

19= 0s+2d+1h

Solve with substitution.

Divide the second equation by 2.

136= 8s+6d+6h

68= 3d+3h+4s

Set the last equation in terms of d.

19= 0s+2d+1h

d= [tex]\frac{19}{2} -\frac{1}{2}h[/tex]

Substitute what we just found (d) into the first and our new second equation. Simplify.

20= s+d+h

20= s+[tex]\frac{19}{2} -\frac{1}{2}h[/tex]+h

h+2s=21

68= 3d+3h+4s

68= 3([tex]\frac{19}{2} -\frac{1}{2}h[/tex])+3h+4s

3h+8s=79

Take both simplified equations and solve with elimination. Do this by multiplying the top equation by negative 3.

h+2s=21

3h+8s=79

-3h-6s=-63

3h+8s=79

2s=16

s=8

Plug in s=8 into the other equation.

h+2s=21

h+2(8)=21

h=5

Plug in h=5 into the last equation we rewritten.

[tex]d= \frac{19}{2} -\frac{1}{2} h[/tex]

[tex]d=\frac{19}{2} -\frac{1}{2}(5)[/tex]

d=7

(d,h,s)= (7,5,8)

Answer:

7, 11, 39 OR -26, 1, 77;

Step-by-step explanation:

Mumble. Let's call the first number 13k, which is obviously a multiple of 13.

The factor of 77 are easy to find. It's either 77 and 1, or 11 and 7.

Now two cases. If we consider negative multiples of 13 (ie, -39 is -3 times 13) we can use the first pair (77 and 1, who sum up to 78, and start taking 13 from it as many times as we need to get to our interval.

1st pass: 78-13 = 65 out

2nd pass: 65-13 = 52 in

3rd pass : 52 - 13 = 39 out

So a possible triplet is 77, 1 and -26.

Case two: we aren't allowed to take negative numbers, and 77 and 1 will bring out of our range already. Let's stick to 11 and 7, who sum up to 18. Again, let's keep adding 13 as many times as we need

1st pass: 18+13 = 31, no good

2nd pass: 31+13 = 44, out again

3rd pass: 44+13= 57, we're good!

4th pass: 57+13 = 70, too far.

So another possible triplet is 7, 11, 39.

The moment you allow the product of the second and third number to be rationals will open a whole new can of worm that isn't any close to be interesting or fun to explore.

I believe it is 9681/10.

Answer:

the answer is 9681/10

Step-by-step explanation:

9681/10