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Six eggs weigh 240 grams. What is the constant of proportionality of
grams per egg?

Answer: D.  5.3 m

Step-by-step explanation:

The ladder leaning against the wall causes it to forma  right angle.  

The right angle has two sides , which is  the two legs, and the hypotenuse.

Using the formula a^2 + b^2 = c^2 , a  and b are the two legs and c is the hypotenuse. In this case, a will be the wall, b will be 1.5 m  and the ladder which is 5.5 m will be the hypotenuse.  

Input the values for a and c to sole for b using the formula.

1.5^2 + b^2 = 5.5^2

2.25 + b^2 = 30.25

-2.25                 -2.25

   b^2 = 28

   b = [tex]\sqrt{28}[/tex]

  b = 5.2915   rounded to one decimal place is the same as rounding it to the nearest tenth, and 5.29 rounded to the nearest tenth is 5.3.

Height of top of ladder above the ground  that is resting on the wall, correct to one decimal place is 5.3 m

hence option D is correct.

According to Pythagoras theorem

In a right triangle

[tex]\rm H^2 = P^2 + B^2[/tex]

[tex]\rm P = \sqrt {H^2 - B^2 }.........(1)\\where \\H = Hypotenuse \; of \; right\; triangle\\B = Base\; of \; the \; right\; triangle \\P = Perpendicular \; of \; the\; right\; triangle[/tex]

In the given situation the the ladder forms the right triangle with the wall

Length of the ladder = 5.5 m

Length of the base of ladder from the wall = 1.5 m

Let K be the height of top of ladder above the ground  that is resting on the wall.

Hence  from equation (1) we can write

[tex]\rm K = \sqrt{5.5^2 - 1.5^2} = \sqrt{28} = 5.291 \approx \bold{5.3}[/tex]  m

Height of top of ladder above the ground  that is resting on the wall, correct to one decimal place is 5.3 m

hence option D is correct.

For more information please refer to the link given below

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Answer:

y= (-2/3)x+10/3  is a function

3y=18 is a function

Step-by-step explanations

in both cases for each input x there is exactly one output y

Answer:

for y=-8sin(3x)

Amplitude = 8

Answer:

8

Step-by-step explanation:

amplitude =8

|sin (3x)|≤1

so |-8 sin (3x)≤8

Answer: = 1

Step-by-step explanation: 6−4v=3−v

Step 1: Simplify both sides of the equation.

6−4v=3−v

6+−4v=3+−v

−4v+6=−v+3

Step 2: Add v to both sides.

−4v+6+v=−v+3+v

−3v+6=3

Step 3: Subtract 6 from both sides.

−3v+6−6=3−6

−3v=−3

Step 4: Divide both sides by -3.

−3v

−3

=

−3

−3

v=1

Answer:

v=1

Answer:

V=1

Step-by-step explanation:

6 - 4v = 3 - v

move the varible

6 - 4v + v = 3

collect like terms

-3v = 3 - 6

divide both sides by -3

V = 1

Answer:

No solution

Step-by-step explanation:

6x - 2(3x - 4)

Distribute;

6x - 6x + 8

0 ≠ 8

Step-by-step explanation:

could you please mark me as the brainliest answer

Step-by-step explanation:

The sides enclosing the right angle are the perpendicular and the base of the right angled triangle.

Then the area of the triangle will be

2

1

×150×200=15,000 m

2

.

Answer:

D.) 200ft²

Step-by-step explanation:

The formula for the area of a trapezoid:

[tex]A=\frac{1}{2} (b_{1}+b_{2})h[/tex]

where:

Insert the given values:

[tex]A=\frac{1}{2}(16+24)*10[/tex]

Simplify the equation using PEMDAS. Simplify parentheses:

[tex]A=\frac{1}{2}*40*10[/tex]

Simplify multiplication:

[tex]A=\frac{1}{2}* 400[/tex]

Simplify multiplication. Use the rule [tex]\frac{a}{b}*c=\frac{ac}{b}[/tex] :

[tex]A=\frac{1*400}{2}\\\\A=\frac{400}{2}[/tex]

Simplify division:

[tex]A=200[/tex]

The area is 200ft²

:Done

Answer:

C A person with an annual income of at least \$50{,}000$50,000dollar sign, 50, comma, 000 is more likely to be 454545 years old or above

A person in the 44 and under age group is more likely to have an annual income of at least $50,000​ is a correct statement.

We have given that,

A sociologist polled a random sample of people and asked them their age and annual income.

annual income is the amount of money you receive during the year into your bank account, before any deductions.

The two-way frequency table below shows the results.

Annual income vs. age group Less than $50,000 At least $50,000

Total Ages 44 and under 148 68 216 Ages 45 and above 38 94 132

Total 186 162 348

A person with an annual income of at least

[tex]=\$50000\\=$50,000dollar[/tex]

Therefore statement b is true.

A person in the 44 and under age group is more likely to have an annual income of at least $50,000​.

To learn more about the annual income visit:

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#SPJ2

Answer:

10,600 cookies will be made in 8 hours

Step-by-step explanation:

1325 × 8 = 10,600

Answer:

y + (-3) = -8

Step-by-step explanation:

i just know

pls mark branliest

Answer:

y= -x+9

Step-by-step explanation:

Answer:

257 kids

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

£12

Step-by-step explanation:

It's asking us to find the 30% of the 40 and to do this we multiply 40 by 30 then divide it by 100

40 × 30 ÷ 100 = 12

Answer and explanation:

A rectangle's width is longer than the length

And so given a rectangular lawn 4m by 10m,

the width of the lawn= 10m

the length of the lawn= 4m

If a garden of uniform width is added, then garden's width = 10m

The garden of uniform width is added to the width side of the rectangular lawn( since along the combined side length of the lawn and garden, another garden is added)

The garden added to the combined side length of the lawn and garden has width twice that of the garden = 2*10= 20m

Given that total area of the lawn and two gardens = 72m²

Total area of lawn and 2 gardens(Area of rectangle(lawn+2 garden's)) is length * width

= 4*10+ 10*x+ 20*y=72

Therefore equation for total area of lawn and both gardens is 40+10x+20y=72

Where x is length of second garden attached to the width side of the lawn and y is length of the garden attached to the combined length side of the lawn and first garden

x can be solved

40+10x+20y=72

10x+20y=72-40

10x+20y=32

10x=32-20y

x=32-20y/10

Y can be solved

40+10x+20y=72

10x+20y=72-40

10x+20y=32

20y=32-10x

y=32-10x/20

Answer:

x= kaylas age

older sister: 2x+1

younger sister: x-3

x+2x+1+x-3=26

4x-2=26

4x=28

x=7 years old

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

-3 = -2x + 1

minus 1 to the both sides

-3 -1 = -2x

-4 = -2x

divide both sides by -2

x = 2

Answer:

let t= the number of tacos sold

let b= the number of burritos sold

3.25t+7b=552

b=2t

Step-by-step explanation:

Since there were twice as many burrito sold as tacos sold, there were more burritos sold, so if we multiply by 2 the number of tacos sold, we will get the number of burritos sold, meaning b=2t.

The system of equation should be considered as the  3.25t+7b=552 and the value of b should be equivalent to 2t.

here we assume that

t= the number of tacos sold

And, b= the number of burritos sold

As per the situation, the equation be like

3.25t+7b=552

b=2t

So,

put b value in the first equation

3.25t + 14t = 552

t = 3.01

And, b = 1.51

Learn more about an equation here: https://brainly.com/question/24603753

Answer:

I say two.

Step-by-step explanation:

Answer:

b is your answer hope it helps

Answer:

Step-by-step explanation:

Substituting n with -2

Answer:

[tex]\frac{\sqrt{2} }{8}[/tex]

Step-by-step explanation:

Using the exact values of the given trig functions, then

sin45° × sin30° × cos60°

= [tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{\sqrt{2} }{8}[/tex]

Answer: Twice the length of 322 yards is 644. If I divide by 15 I get 42 r14. Alice needs to buy 43 rolls of ribbon. I like your cut G !

Step-by-step explanation:

Answer:

22 units.

Step-by-step explanation:

We want to find the perimeter of the polygon with vertices at: (-3, 1); (5, 1); (-3, 4); and (5, 4).

Let’s first plot the points and see what polygon we acquire. Please refer to the graph below.

As we can see, when plotting the points and connecting them, we get a rectangle.

So, we can use the perimeter formula for a rectangle, given by:

[tex]P=2(\ell+w)[/tex]

Where [tex]\ell[/tex] Is the length and [tex]w[/tex] is width.

Remember that the perimeter is simply the distance around the figure.

So, let’s find the length. We can do so by counting or by subtracting.

By counting, we can see that the length (longer side) is 8 units.

And by subtracting, we get the same length of |5-(-3)| or 8 units.

We use absolute value because distance is always positive.

Using the same process, we find the width to be 3 units.

Using subtract, we can see that this is indeed true as |1-4|=3.

So, we can now substitute the values into our formula:

[tex]P=2(8+3)[/tex]

Evaluate:

[tex]P=2(8+3)=2(11)=22\text{ units}[/tex]

So, the perimeter of the polygon is 22 units.

Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf \sqrt {(4-1)^2+(1-0)^2}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf \sqrt {(3)^2+(1)^2}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf \sqrt {9+1}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf AB=\sqrt {10}[/tex]

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]

They both have same height,

let the height of both triangles be = x

let the base one triangle = y

then the base of another trainlgle = 2y

Area of triangle = 1/2 X B X H

Area of Triangle 1

[tex] \frac{1}{2} \times y \times x \\ = > \frac{xy}{2} [/tex]

Area of Triangle 2

[tex] \frac{1}{2} \times 2y \times x \\ = > \frac{2xy}{2} \\ = > xy[/tex]

Difference in the area =

[tex]xy - \frac{xy}{2} \\ = > \frac{2xy - xy}{2} \\ = > \frac{xy}{2} [/tex]

Hence Area of Triangle 1 is half the area of Triangle 2

Difference of 1/2 area.

Answer:

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}∣ANSWER∣

They both have same height,

let the height of both triangles be = x

let the base one triangle = y

then the base of another trainlgle = 2y

Area of triangle = 1/2 X B X H

Area of Triangle 1

\begin{gathered} \frac{1}{2} \times y \times x \\ = > \frac{xy}{2} \end{gathered}21×y×x=>2xy

Area of Triangle 2

\begin{gathered} \frac{1}{2} \times 2y \times x \\ = > \frac{2xy}{2} \\ = > xy\end{gathered}21×2y×x=>22xy=>xy

Difference in the area =

\begin{gathered}xy - \frac{xy}{2} \\ = > \frac{2xy - xy}{2} \\ = > \frac{xy}{2} \end{gathered}xy−2xy=>22xy−xy=>2xy

Hence Area of Triangle 1 is half the area of Triangle 2

Difference of 1/2 area.

[/tex]

Step-by-step explanation:

side it

siso,;-):-(

Answer:

y=-2/3x+8

Step-by-step explanation:

first, find the y intercept, or b.

write your equation so far: y = -2/3x + b

Now substitute in your given point (6,4)

so now we got: 4 = -2/3(6) + b

which gives you: 4 = -4 + b

Now, we find b.

4 = -4 + b  

+4    +4      < isolating b...

8 = b

now put it back in..

y=-2/3x+b

hope this helped luv <3

Answer:

ABC is a right angled triangle

BCD is also a right angled triangle

ABD is a scalene triangle

9514 1404 393

Answer:

  ∆ABC ~ ∆BDC ~ ∆ADB

Step-by-step explanation:

The given triangle is named using the largest acute angle vertex (A) first, followed by the right angle vertex (B), then the remaining vertex (C). Using that same order, the triangles, largest-to-smallest are ...

  ∆ABC ~ ∆BDC ~ ∆ADB