10. A ladder 6.5 metres long leans against a wall,
touching a window sill, and makes an angle of
62° with the ground. Find the height of the
window sill above the ground. How far is the
foot of the ladder from the foot of the wall?​

Given:

Total people = 132

Total students = 110

The ratio of shark bookmarks to seal bookmarks to the students is 3:2.

To find:

The number of students who receive shark bookmarks.

Solution:

Let the total number of students who receive shark bookmarks be 3x and number of students who receive seal bookmarks be 2x.

Total number of students is 110. So,

[tex]3x+2x=110[/tex]

[tex]5x=110[/tex]

Divide both sides by 5.

[tex]x=22[/tex]

Now,

Number of students who receive shark bookmarks [tex]=3x[/tex]

                                                                                   [tex]=3(22)[/tex]

                                                                                   [tex]=66[/tex]

Therefore, 66 students receive shark bookmarks.

Answer:

Step-by-step explanation:

x^2 – 12x + 11 = 0

(x-11)(x-1)

x= 11, 1 completing the square

Answer:

D. Every rational number is also an integer

Step-by-step explanation:

Some rational numbers are integers, but not all of them

Answer:

Karim will never have triple age as his brother, it has happened already 1 year ago, thus he won't give him a gift

Step-by-step explanation:

Equations

Let's make:

x = the number of years from now

Karim now is 22 and Ziad is 8. x years from now Karim will be

22 + x years old and Ziad will be

8 + x years old.

Karim will give Ziad a wonderful gift when:

22 + x = 3(8 + x)

22 + x = 24 + 3x

Solving:

x = -1

This means that Karim will never have triple age as his brother, it has happened already 1 year ago, thus he won't give him a gift

Answer: B.Side side side similarity theorem

Step-by-step explanation:

Hope this helps <3

^^^^ B.Side side side similarity theorem is correct

i just took the test and it was right!

Answer:

The smallest angle is 80 and the largest angle is 180.

Step-by-step explanation:

Hope this helps! :D

Plz mark me as brainliest!

Answer:

[tex]-2 \frac{1}{4}<-1 \frac{1}{4} < \frac{3}{4}< |1 \frac{1}{4}|< |-1 \frac{3}{4}| < |-2 \frac{1}{4}|[/tex]

Step-by-step explanation:

Given the numbers:

[tex]-1 \frac{1}{4} , |-1 \frac{3}{4}| , \frac{3}{4} , -2 \frac{1}{4} , |1 \frac{1}{4}| , and |-2 \frac{1}{4}|[/tex]

To find:

The ascending order of the given numbers.

Solution:

First of all, let us have a look at the definition of absolute value function i.e. Modulus function.

[tex]|y|=\left \{ {-{y}\ if\ y<0 \atop {y}\ if\ y>0} \right.[/tex]

i.e. if the numbers is negative, then a negative sign is added to make the number positive.

Now, let us have a look at the given numbers with modulus one by one.

[tex]|-1 \frac{3}{4}| = -(-1 \frac{3}{4})=1 \frac{3}{4}\\ |1 \frac{1}{4}| = 1 \frac{1}{4}\\|-2 \frac{1}{4}| = -(-2 \frac{1}{4})=2 \frac{1}{4}[/tex]

Smallest numbers are with negative signs.

And negative numbers with larger magnitude are smaller.

Therefore, the ascending order will be:

[tex]-2 \frac{1}{4}<-1 \frac{1}{4} < \frac{3}{4}< |1 \frac{1}{4}|< |-1 \frac{3}{4}| < |-2 \frac{1}{4}|[/tex]

Answer:

Step-by-step explanation:

- 2 1/4 - 1 1/4 3/4 | 1 1/4| | - 1 3/4 | - 2 1/4 |

For ΔKXD, x = 21

"The triangles that have corresponding sides in proportion to each other and corresponding angles are equal."

For given question,

ΔAGM is similar to ΔKXD

This means,

[tex]\frac{AG}{KX} = \frac{GM}{XD} = \frac{AM}{KD}[/tex]

Consider,

⇒ [tex]\frac{AG}{KX} = \frac{GM}{XD}[/tex]

⇒ [tex]\frac{32}{x+3} = \frac{36}{x+6}[/tex]

⇒ [tex]32\times (x+6) = 36\times (x+3)[/tex]

⇒ [tex]32x+192=36x+108[/tex]

⇒ [tex]4x = 84[/tex]

⇒ x = 21

Learn more about similar triangles here:

https://brainly.com/question/14965331

#SPJ2

Answer:

The third graph(left to right)

Step-by-step explanation:

the vertex would be (-1,-3) from the formula.

Answer:

$5214.29 or $5214

Step-by-step explanation:

Set up a ratio table:

[tex]\frac{1460}{x}[/tex]=[tex]\frac{28}{100}[/tex]

You need you multiply the monthly loan by 100, then divide by 28.

(1460 · 100) ÷ 28

146000 ÷ 28

5214.28571

Round to the nearest cent:

$5214.29

Unless by simplify it means to the nearest dollar:

$5214

Answer:

6

Step-by-step explanation:

30/90 is 1/3.   1/3 is equal to 6/18

Hope that helpsssss :DD

Answer:

6

Step-by-step explanation:

30/90 = 1/3

If you multiply 6 by 3, you get 18

Answer:

1/2 the length of the third side

Step-by-step explanation:

Umm maybe u forgot to attach the picture we got similar question here hope it helps

Answer:

.6

Step-by-step explanation:

Answer:

18/5, 3 3/5

Step-by-step explanation:

Answer: The answer is 24 :)

Give brainlest if I’m right

Answer:

The answer I think it will be 24 but not sure.

Step-by-step explanation:

The total amount of yellow paint she needs to mix with 18 ounces of red paint to maintain the same proportion is 45 ounces and this can be determined by using the unitary method.

Given :

An art teacher mixes 20 ounces of yellow paint with 8 ounces of red paint.

The following steps can be used in order to determine the total amount of yellow paint:

Step 1 - The unitary method can be used in order to determine the total amount of yellow paint she needs to mix with 18 ounces of red paint to maintain the same proportion.

Step 2 - Let the total amount of yellow paint she needs be 'x'.

Step 3 - So, the value of 'x' can be calculated as:

[tex]x = \dfrac{18}{8}\times 20[/tex]

Step 4 - Simplify the above expression.

[tex]x = 45\;{\rm ounces}[/tex]

The total amount of yellow paint she needs to mix with 18 ounces of red paint to maintain the same proportion is 45 ounces.

For more information, refer to the link given below:

https://brainly.com/question/25834626

Answer:

bc+ad=b

or,ad=b-bc

or,a=(b-bc)/d

Answer & Step-by-step explanation:

Ok, so to solve for a in this equation means that we need to write the equation from the point of view of a, instead of b, which is the way it is currently written.

bc + ad = b

The first thing to do is isolate a, we do this by dividing every term in this by a.

a = bc/a + ad/a + b/a

a = d(bc + b)

Now, we need to divide d from the equation.

Answer:

The type of relationship expressed below is an INEQUALITY

Step-by-step explanation:

To solve it (though it isn't asked for but may help in the future) you would have to combine like terms.

Add 3.0 and 2, you get 5.

5 isn't greater than 10 so this inequality would be incorrect.

Answer:

3

Step-by-step explanation:

Answer:

I dont know what does the long question requires.If is the question of 17 problem then i have explained and solved .If not then I dont know what to do.

Answer: All of the ones with a positive and negative. If it’s positive and positive or negative with a negative put in the equation, it’ll always equal a positive. Hope that helps!

Answer:

-6 * 7

-8 * 8

11 * (-2)

Step-by-step explanation:

Hope this helps :D

Answer:

dude your teacher is on crack

Answer:

option B (37)

Step-by-step explanation:

74÷2 (as it's half)= 37

XT= 37

Hope it helps!

Answer:

dx/dt = 5√5/2

Step-by-step explanation:

Given:

dx/dt = 25 feet per second

According to Pythagoras theorem:

x² + 90² = y²

We know that x = 30 ft

So,

x² + 90² = y²

30² + 90² = y²

y = 30√10

So,

x² + 90² = y²

By taking differentiate:

2x dx/dt = 2y dy/dt

[x/y][dx/dt] = dy/dt

dx/dt = 5√5/2

Answer:

8.68

Step-by-step explanation:

just multiply 124.00 times 0.07 and that's it

Answer:

The number of feet she will travel back is 1 or 7 feet

Step-by-step explanation:

Here, we need to solve the quadratic equation

That will be as follows;

0 = x^2 -8x + 7

x^2-x-7x+ 7 = 0

x(x-1)-7(x-1) = 0

(x-1)(x-7) = 0

x = 1 or 7

The number of feet she will travel before coming back to the surface of the water is 1 or 7 feet

Answer:

41/10

Step-by-step explanation:

Answer:

Based on what you asked i think the answer would be 4 1/10

Step-by-step explanation:

Answer:

11(t+r)+35

Step-by-step explanation:

they make 11 dollars an hour so you have to multiply 11 by t hour an r hours. then only one of them worked overtime so you add 35.

Answer:

See image

Step-by-step explanation:

Plato

Answer:

a) x=3

y=6*3+4

=22

b) x=4

y=6*4+4

=24

c) x=6

y=6*6+4

=40

d) x=7

y=6*7+4

=46