A 28 foot ladder is leaning against a building. If the
base of the ladder is 7 feet from the wall, what is the
height of the building?

Answer:

15

Step-by-step explanation:

Pretend there is a triangle where the hypotenuse is MO

to find the bottom side, we need to find half of 14 (7) and half of 10 (5)

That tells us that the bottom of the triangle is 12.

To find the next side, you will need to use 14 and subtract 10, leaving us with 4. Half of 10 is 5 so 5+4 is 9, so the side facing up is 9.

Now using Pythagorus, the root of 12^2 and 9^2 is 15

Final answer, the distance from O to M is 15

The distance OM is 15 and this can be determined by using the Pythagorean theorem and the given data.

Given :

The following steps can be used in order to determine the distance OM:

Step 1 - Let the OEM be the triangle where the angle OEM is 90 degrees.

Step 2 - The distance OE is given by:

[tex]\rm OE = \dfrac{10}{2}+\dfrac{14}{2} = 12[/tex]

Step 3 - Now, the distance ME is given by:

[tex]\rm ME = 14-10+\dfrac{10}{2} = 5 + 4 = 9[/tex]

Step 4 - Apply Pythagorean theorem on triangle OEM in order to determine the distance OM.

[tex]\rm OM^2 = 12^2+9^2[/tex]

OM = 15

For more information, refer to the link given below:

https://brainly.com/question/11897796

Divide total distance by total liters used.

448 km / 112 liters = 4 km per liter.

Using 1 liter of gas the boat can travel 4 km.

Answer:

1 litre = 4 km

Step-by-step explanation:

448/112 = 4/1

Cross multiplication, 448 x 1 divided by 112 = 4

Answer:x=45.6

Step-by-step explanation:

Answer:

(x^2 - 5x^2 + 4x) / 2x + 8

Step-by-step explanation:

(x^2 - 16) / 2x + 8 * (x^3 - 2x^2 + x) / (x^2 + 3x -4)

(x^5 - 2x^4 - 15x^3 + 32x^2 -16x) / 2(x - 1)(x + 4)(x + 4)

x(x-1)(x-1)(x+4)(x-4) / 2(x - 1)(x + 4)(x + 4)

(x^3 -5x^2 +4x) / 2x + 8

Answer:

A line graph (also known as a line plot or line chart) is a graph which uses lines to connect individual data points that display quantitative values over a specified time interval. Line graphs use data point "markers" that are connected by straight lines to aid in visualization.

Answer:

36 in because the radius×2=diameter

Step-by-step explanation:

Answer:

Step-by-step explanation:

Iinear

Answer: The cost of one bag of chips is $1.5 and cost of one bag of pretzels is $1.05.

Step-by-step explanation:

Let x= Cost of one bag of chips

y= Cost of one bag of pretzels.

As per given, we have

5x+9y=16.95        ...(i)

x+y=2.55            ...(ii)

Multiply 5 to (ii), we get

5x+5y=12.75     ...(iii)

Eliminate (iii) from (i), we get

[tex]4y=4.2\\\\\Rightarrow\ y=1.05[/tex]

Put value of y in (ii), we get

[tex]x+1.05=2.55\\\\\Rightarrow\ x=2.55-1.05=1.5[/tex]

Hence, the cost of one bag of chips is $1.5 and cost of one bag of pretzels is $1.05.

Answer: D. 453 miles .

Step-by-step explanation:

Given: The function [tex]d(t)=458-60t[/tex] models the distance, in miles, that Jessica is from her house t hours after she began returning home.

At t = 5 minutes = [tex]\dfrac{5}{60}[/tex] hour     [1 hour = 60 minutes],

Distance covered by Jessica in 5 minutes = [tex]d(\dfrac{5}{60})=458-60(\dfrac{5}{60})[/tex]

[tex]=458-5=453\ miles[/tex]

Jessica is 453 miles from her home after 5 minutes she began returning home.

Hence, the correct option is D. 453 miles .

Answer: the answer I’m is 16,800

Step-by-step explanation:

To find the number of kg you multiply the number by 1,000.

16.8*1,000=16,800

Answer:

-20√7

Step-by-step explanation:

Here. we want to write this in the simpler form

we can have 112 as; 16 * 7

√112 = √(16*7)

√112 = 4 √7

so, we have

-5 * 4 √(7 = -20 √7

Answer:

$35

Step-by-step explanation: 200-165

Answer:

B,C,D

ONLY

Step-by-step explanation:

Answer:

(-2,-5)

(1,1)

(3,5)

for ed

Step-by-step explanation:

Answer:

It would be -4 for "x" and -6 for "y"

Step-by-step explanation:

x+z=-4+-6=-10

x-y=-4--6=2

Answer: 80 in

Step-by-step explanation:

Answer:

64 in

Step-by-step explanation:

Answer:

y = 5/6x + 8/3

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

x = 35.1 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos x = 27/33

Take the inverse cos of each side

cos ^-1 ( cos x) = cos ^-1(27/33)

x =35.09680123

To the nearest tenth

x = 35.1 degrees

Answer:

x=35.1

Step-by-step explanation:

cos(x)=[tex]\frac{27^{2}+33^{2}-360 }{2(27)(33)}[/tex]

x=35.1(correct to the nearest tenth)

Answer:

it basically means that the order in how you multiply doesnt matter. so wether u type 5 x 4 or 4 x 5 in ur calculator, you'll get the same answer either way. this works for when you want to multiply and divide, but not when you wanna subtract or divide.

Step-by-step explanation:

its basically a property that says that if you wanna swap the numbers/variables that are on one side of this specific type of equation (multiplication and addition), you can!

Answer:

yooo

Step-by-step explanation:

the communitive property  is when you have the same number or same equation but just reverse it. For example, (5x+67) with the communitive property could be (67+5x). Its just the equation you are given but reversed and since they are the same numbers, you will get the same answer either way you do the problem, hope this helps you lol.

Answer:

X=5 and X=5

Step-by-step explanation:

X²-10x+25=0

X²-5x-5x+25=0

X(x-5)-5(x-5)=0

(X-5) (x-5)=0

X-5=0. x-5=0

X=5. x=5

Answer:

1. -10

2. -11

Step-by-step explanation:

Answer:

25 miles per gallon 10 gallons is the UNIT RATE.

Answer:

Yes, it is possible for two numbers to have a difference of 8 and a sum of 1.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Using the general exponent rule, that

[tex]a^{0}[/tex] = 1, so

[tex]7^{0}[/tex] = 1

Answer: The numbers are 1 and 3.

Step-by-step explanation:

Let x = smaller number , y= larger number.

As per given,

[tex]x=\dfrac{y}{3}[/tex]   ...(i)

[tex]x+y=y^2-5[/tex]       ...(ii)

Put value of x from (i) in (ii)

[tex]\dfrac{y}{3}+y=y^2-5\\\\\Rightarrow\ \dfrac43y=y^2-5\\\\\Rightarrow\ 3y^2-4y-15=0\\\\\Rightarrow\ 3y^2-9y+5y-15=0\\\\\Rightarrow\ 3y(y-3)+5(y-3)=0\\\\\Rightarrow\ (y-3)(3y+5)=0\\\\\Rightarrow\ y=3 \ \ or\ y=\dfrac{-5}{3}[/tex]

Since numbers are positive , so y=3 is correct.

And x will be 1  [from (i)]

Hence, the numbers are 1 and 3.

Answer: t=0.7+1.5

Step-by-step explanation:

The equation that represents the distance from A = (a, b) and B = (c, d) is

√(c - a)² + (d - b)² = 1.5

The distance between two points of a line is given as:

Distance = √(c - a)² + (d - b)²

We have,

Let points A and B have the coordinates.

A = (a, b)

B = (c, d)

Now,

Distance = √(c - a)² + (d - b)²

√(c - a)² + (d - b)² = 1.5

Thus,

The equation is

√(c - a)² + (d - b)² = 1.5

Learn more about the distance of a line here:

https://brainly.com/question/14645718

#SPJ5

Answer:

T6 is already in exponential form.

Step-by-step explanation:

The reason why T6 is already written in exponential form is beacuse nothing further can be done with this equation.

Answer:

From the given figure we can see that :---

MN||PO, MN=PO and MP=NO

Therefore, angle M=angle N (adjacent sides of the trapezoid)

[tex](8x - 16) = (6x + 20) \\ 2x = 36 \\ \boxed{x = 18}[/tex]

angle M=angle N= (6×18)+20=108+20 =128°

angle O =(180°-128°)=52°

Answer:

doesnt c = 1

Step-by-step explanation:

I don't even know I'm just tryna get points