fill in teh blanks. 4356x3

Answer:

  8.5 ft

Step-by-step explanation:

We assume that Mr. Simpson can model his construction using a right triangle with leg 7 ft and hypotenuse 11 ft, as shown in the attachment. Then the other leg can be found using the Pythagorean theorem.

__

  a² +b² = c²

  x² +7² = 11²

  x² = 121 -49 = 72

  x = √72 = 6√2 ≈ 8.485 . . . . feet

The slide will be set about 8.5 feet away from the base.

By, Cross multiplying, we get

[tex]⇢2x(x - 1) = (2x - 1)(x + 2)[/tex]

[tex]⇢2 {x}^{2} - 2x = 2x(x + 2) - 1( x+ 2)[/tex]

[tex]⇢2 {x}^{2} - 2x = 2 {x}^{2} + 4x - x - 2[/tex]

Here, [tex]2 {x}^{2} [/tex] from both sides will get cancelled

[tex] ⇢- 2x = 3x - 2[/tex]

[tex]⇢ - 2x - 3x = - 2[/tex]

[tex] ⇢- 5x = - 2[/tex]

[tex] ⇢x = \frac{ - 2}{ - 5} [/tex]

[tex] ⇢ \underline { \boxed{ x = \frac{2}{5} }} [/tex]

Answer:

[tex]x=\frac{2}{5}[/tex]

Step-by-step explanation:

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

[tex]\begin{aligned} & \Leftrightarrow \frac{2 x(x-1)}{(x+2)(x-1)}-\frac{x(x+2)}{(x-1)(x+2)}=1 \\& \Leftrightarrow \frac{2 x^{2}-2 x}{(x+2)(x-1)}-\frac{\left(x^{2}+2 x\right)}{(x+2)(x-1)}=1 \\& \Leftrightarrow \frac{2 x^{2}-2 x-\left(x^{2}+2 x\right)}{(x+2)(x-1)}=1 \\& \Leftrightarrow \frac{2 x^{2}-2 x-x^{2}-2 x}{(x+2)(x-1)}=1 \\& \Leftrightarrow \frac{x^{2}-4 x}{(x+2)(x-1)}=1 \\\end{aligned}[/tex]

[tex]\begin{aligned}& \Leftrightarrow x^{2}-4 x=(x+2)(x-1) \\& \Leftrightarrow x^{2}-4 x=x^{2}-x+2 x-2 \\& \Leftrightarrow x^{2}-4 x=x^{2}+x-2 \\& \Leftrightarrow-4 x=x-2 \\& \Leftrightarrow 5 x=2\end{aligned}[/tex]

therefore,

[tex]x=\frac{2}{5}[/tex]

Answer:

A = (1,6)

B = (4,6)

C = (9,6)

D = (11,6)

Since it is a strait line on six, all the points should have 6 as y. For the x's, just count how much it is away from the y-axis.

Answer:

Tbh I am not sure but it's a semi-circle prism or like semi cylinder (I think) but usually semi-circles themselves will not tessellate bc circles have no angles and when u line them up next to each other there will be gaps between them and one of the tessellation rules is that no overlapping or gaps so yeah

I am sorry lol if that's all wrong but my answer is no, I don't think that this figure is a tessellate plane

Answer:

No, it is not.

Step-by-step explanation:

The line of best fit is a line that runs across a scatter plot of data points and best reflects the connection between them. It must pass through the points on the graph for it to be the line of best fit.

Answer:

Now, △DEF has interior angles with measures y°, 70°, and 20°.

By using angle sum property,

Now, we can say that,

"The two triangles are not similar because x≠y"

As one angle of measure 70 degree is common in both the triangles.

If 'x' would be equal to 'y' , then we could say that the triangles are similar by AA criteria.

Therefore, the two triangles are not similar because x is not equal to

Step-by-step explanation:

Answer:

the triangles are not similar. If they were, they would have the same angles.

The interior angles are not congruent. We can rule out choice B and C.

Just because they have one equal angle does not make them similar. We can rule out D.

A is the best answer.

Answer:

2

Step-by-step explanation:

Considering x the number of bags he can fill:

x[tex]\frac{3}{8} x = \frac{3}{4} \\x = \frac{3}{4} X \frac{8}{3}\\ x =\frac{24}{12}\\ x = 2[/tex]

I hope I made myself clear.

Answer:

12.56 in²

Step-by-step explanation:

Area = πr²

Substitute for pi.

A = 3.14 × r²

The diameter is 4. We divide the diameter by 2 to get the radius.

4 ÷ 2 = 2

Substitute for the radius.

A = 3.14 × 2²

Solve

A = 3.14 × 4 = 12.56 in²

I hope this helps and please mark me as brainliest!

Answer:

x = 44.3

Step-by-step explanation:

Knowing that the given figure shows a supplementary angle

⇒ Note that: Supplementary angle= 180 °

Since it already given the other two number

The equation is:

43 + 92.7 + x = 180

Adding both number together : 43 + 92.7

135.7 + x = 180

Subtract 135.7 from both sides

135.7 -135.7 +x = 180-135.7  

x = 44.3

Hence, the value in degrees of x = 44.3 °

~lenvy~

option B

hope it helps...!!!

Answer:

Option B!

Step-by-step explanation:

x = amount of months.

Each month = + 20 coins.

*Each month x amount of months = y*

so 20x + 75(Coins dad gave)

Answer:

3.14 is the brainliest answer of them all

Answer:

3.14 sq cm

Step-by-step explanation:

Diameter of the circle = 2 cm

-> radius of the circle (r) = 2/2 = 1 cm

Area of the circle

[tex] = \pi {r}^{2} \\ \\ = 3.14 {(1)}^{2} \\ \\ = 3.14 \times 1 \\ \\ = 3.14 \: {cm}^{2} [/tex]

Answer:

Step-by-step explanation:

it is option C because a positive number will always be bigger then a negative number

3yd is the diameter of this circle so

3yd × pi= 9.42yd

Answer:

Volume = length x width x height.

You only need to know one side to figure out the volume of a cube.

The units of measure for volume are cubic units.

Volume is in three dimensions.

You can multiply the sides in any order.

Which side you call length, width, or height doesn't matter.

Answer:    Volume = length x width x height.

You only need to know one side to figure out the volume of a cube.

The units of measure for volume are cubic units.

Volume is in three dimensions.

You can multiply the sides in any order.

Which side you call length, width, or height doesn't matter.

Step-by-step explanation:

Answer:

4). 3

5). 600

Step-by-step explanation:

formula of finding intrest earned is (p×r×t)/100

by putting this formulae____

( HERE p means principal , r means rate , t means time )

(p×r×t) /100= interest

(480×r×5) / 100=100.80

(336×r) / 100 = 100.80

336×r= 100.80×100

r= (100.80×100)/336

r=3

5). (p×r×t)/100=interest

(p×4×5) /100 = 120.00

p×4×5 = 120.00×100

p= 12000 / 4×5

P=12000/20

P=600

Answer:

C

Step-by-step explanation:

you can remove the brakets in C and it simplifies down to whats in B

Answer: 192 cubes

Step-by-step explanation:

You would divide 3 cubic units by 0.015625 cubic units

Answer:

The Area is: 84ft

Step-by-step explanation:

multiply "Y" and "X" and you get 78ft.

"W" + "?"= "Y" If "W"=7, what is 13 ("Y") - 7? 13 -7=6. so "?"=6.

"Z"-"X"="?" "Z"=8 and "X"=6. so 8-6=2

2x6=12 *but remember that to find the area of a triangle it is half of a square of rectangle so you have to divide it in half. 12/2=6.

78+6=84.

Hope this helps! :)

Answer:

125˚

Step-by-step explanation:

The angles given are supplementary. So we can set up the equation :

(3x+5)+(x+15)=180

Then we can solve for x.

Combine like terms:

4x+20=180

4x+20-20=180-20

4x=160

4x/4=160/4

x=40

Now we plug in 40 for x.

3(40)+5=<A

120+5=<A

<A=125

Answer:

A

Step-by-step explanation:

The distance he jogs in kilometers would go by 7 every hour making it proportional relationship

Answer:

The y intercept is -8, or (0, -8)

Step-by-step explanation:

p(x)=-3(x-2)²+4

p(x)=-3(x²-4x+4)+4

p(x)=-3x²+12x-12+4

p(x)=-3x²+12x-8

This is quadratic

In p(x)=ax²+bx+c

c is the y intercept

Therefore the y intercept is -8, or (0, -8)

Hope this helps! :D

<3

Answer:

(0,-8)

Step-by-step explanation:

The y intercept occurs when x = 0 , so put in x = 0

-3(0-2)^2 + 4   = -8  

so y-axis intercept is   ( 0, -8 )

Answer:

5x - 1

Find Factors:

Factors: (2x-3)(3x+2)

Their sum:

Factor the trinomial 6x²-5x-6, then find the sum of the factors .

This question belongs to factorising the trinomial with the help of different methods such as middle term splitting .

[tex] \longrightarrow \: 6x {}^{2} - 5x - 6[/tex]

Now , by splitting the middle term that is - 5 x :

[tex] \longrightarrow \: 6x {}^{2} - 9x + 4x - 6[/tex]

Now , taking 3x and -2 as common :

[tex] \longrightarrow \: 3x(2x - 3) + 2(2x - 3)[/tex]

So ,

[tex] \longrightarrow \: ( 3x + 2 ) ( 2x - 3 )[/tex]

Therefore , factors are ,

In the question we have ask to find the sum of their factors . So adding them ,

Therefore , 5x - 1 is the sum of the factors .

Answer:

√169 & 13

Step-by-step explanation:

the area of a square is = to one side squared

Because of this, the side should equal the square root of the area.

13 is the square root of 169, and the square root of the area, 169, are both options, and fulfill the area formula for squares

Answer:

B

Step-by-step explanation:

Since there is 10 lines separating -3 and -4, that means the space between 2 lines in 1 tenth, and b is 3.5 lines away from -3. Making it -3.35

have a nice day :)

Answer:

B

Step-by-step explanation:

Each section represents 0.1

You would count 3 sections to the left of -3 because -3.35 is less than -3. You would end up at -3.3. Move to the left half a section for 0.05 and you would end up at point B, which is equal to -3.35.

I hope this helps and please mark me as brainliest!

Answer:

[tex]beinggreat78 ~is ~here ~to~ help~ you![/tex]

Let's start with 5 squared. 5 squared, or just squared in general, represents the number behind it times itself.

[tex]5^2~or~ 5*5 = 25[/tex]

Now, add 3

[tex]25 + 3 = 28[/tex]

Next, subtract 1

[tex]28 - 1 = 27[/tex]

Now, you must divide, because the line under the first equation represents division, or a fraction. For this case, division. Before dividing your result, 27, by y, the second equation, you first want to solve equation 2, y.

[tex]\frac{18}{2} = 9[/tex]

Lastly, divide x by y, 27 divided by 9

[tex]\frac{27}{9} = 3[/tex]

The problem is solved! The final answer is 3

Step-by-step explanation Hope this help a'lot

Multiplication and division both need to have a common denominator or else you would get an incorrect answer. Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators."

Answer:

Max and Elena live 5764 miles away from each other.

Step-by-step explanation:

One mile is equivelant to 1.6 kilometers.

Answer:

5764.461 miles

Step-by-step explanation:

9,722 kilometers is approximately 5764.461 miles.