ABCD is a trapezium.
A
Diagram NOT
accurately drawn
10 cm
9 cm
3 cm
B.
AD = 10 cm
AB = 9 cm
D0= 6 cm
Angle ABC = angle BCD = 90°
Calculate the length of AC.
Give your answer correct to 3 significant figures.​

Answer:

Tiffany

Step-by-step explanation:

Ramon is 4 to 1 water to sugar

Tiffany is 3 to 1 water to sugar

The nectar that is more sugary is Tiffany's nectar.

A ratio shows us the number of times a number contains another number.

Given that Ramon makes nectar for a hummingbird feeder by mixing 8 cups of water with 2 cups of sugar. Therefore, the ratio of sugar to water can be written as,

Sugar / Water = 2 cups of sugar / 8 cups of water

Sugar / Water = 1/4

Sugar / Water = 0.25 cups of sugar per cup of water

Also, given that Tiffany makes nectar by mixing 9 cups of water with 3 cups of sugar. Therefore, the ratio of sugar to water can be written as,

Sugar / Water = 3 cups of sugar / 9 cups of water

Sugar / Water = 1/3

Sugar / Water = 0.33 cups of sugar per cup of water

Since the ratio of sugar to water is more in Tiffany's nectar (0.33 > 0.25). Therefore, Tiffany's nectar is more sugary.

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Answer:

Y=x+6

Step-by-step explanation:

Answer:

5/4

Step-by-step explanation:

m = y2-y2 / x2-x3

Answer:

The slope is undefined and the equation of the line is x = 9 ⇒ C

Step-by-step explanation:

Let us solve the question

∵ The line is parallel to the y-axis

∵ The y-axis is a vertical line

→ By using the second note above

∴ The slope of the y-axis is undefined

→ By using the first note above

∴ The slope of the line is undefined

→ By using the third note above

∵ The equation of the vertical line is x = a

∵ a is the x-coordinate of a point on the line

∵ The line passes through the point (9, -1)

∴ a = 9

∴ The equation of the line is x = 9

Answer:

There is no horizontal asymptote

Answer:

-1/2

Step-by-step explanation:

You find the change in the y coordinates. 6 -> 5 is -1. Now the same for the x. 2 -> 4 is +2. now place them in a fraction with the y/x -1/2. if both were negative then you would just cancel out the negatives.

Answer:

There is more than one but here are the options. 53, 59, 61, and 67

Step 1 Divide all terms by a (the coefficient of x2). Step 2 Move the number term (c/a) to the right side of the equation. Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

Answer:

to solve quadratic equations you need to first figure out how many terms you have and if you have more than 3, your in luck but the AZB formula will not include the terms 1 2 or 3

Step-by-step explanation:

Answer:

it is 169.56

Step-by-step explanation:

Answer:

89.78

Step-by-step explanation:

54 ÷ 2 = 27

27 x 3.14 = 89.78

hope it helps

Step-by-step explanation:

x°+y°=90°

mSquare =360°

z°= 360°-(90°+90°+51°)

z°=360°-231°

z°=129°

mTriangle=180°

angle in base of triangle is equal

because this is isosceles triangle

so 2y°+z°=180°

2y°+129=180°

2y°=180°-129°

2y°=51°

y°=51°/2

y°=25.5°

x°+y°=90°

so x°=90°-y°

x°=90°-25.5°

x°=64.5°

final

x=64.5°,y=25.5°,z=129°

Answer:

hello im good

Step-by-step explanation:

Accurate Explanation: Aloha! Basically, as I can see here, you're missing a slope. But you need at least 1 point and a slope in order to write an equation. Hope it helps.

Answer:

4 batches!!

Step-by-step explanation:

apples + blackberries = 16 cups

blackberries = 1 for one batch

apples = 3 for one batch

1 x 4 = 4

3 x 4 = 12

12 + 4 = 16

Answer:

The Correct Answer Is B.) 4 Batches

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

beacause there are 4 squares for every 6 circles.

Answer:

The 3rd one

Step-by-step explanation:

Answer:

m=28

Step-by-step explanation:

0.1(0.5m+6)=2

Distribute

.05m +.6 =2

Subtract .6 from each side  

.05m +.6-.6 = 2-.6

.05m = 1.4

Divide each side by .05

.05m/.05 = 1.4/.05

m = 28

Answer:

c=6

Step-by-step explanation:

In order to solve the original equation, we would have to square both sides of the equation:

\begin{aligned}\sqrt{29+4w}&=23-cw\\\\ \left(\sqrt{29+4w}\right)^2&=(23-cw)^2\\\\ 29+4w&=(23-cw)^2\end{aligned}  

29+4w

​  

(  

29+4w

​  

)  

2

29+4w

​  

=23−cw

=(23−cw)  

2

=(23−cw)  

2

​  

However, squaring both sides of an equation can create extraneous solutions! [Why?]

Hint #22 / 4

Let's plug \blueD w=\blueD{5}w=5start color #11accd, w, end color #11accd, equals, start color #11accd, 5, end color #11accd into the last equation we obtained:

\begin{aligned}29+4\blueD w&=(23-c\blueD{w})^2\\\\ 29+4(\blueD 5)&=(23-c(\blueD{5}))^2\\\\ 49&=(23-5c)^2\end{aligned}  

29+4w

29+4(5)

49

​  

=(23−cw)  

2

=(23−c(5))  

2

=(23−5c)  

2

​  

This equation is correct, both when 23-5c=723−5c=723, minus, 5, c, equals, 7 and when 23-5c=-723−5c=−723, minus, 5, c, equals, minus, 7.

However, the original equation is not correct for 23-5c=-723−5c=−723, minus, 5, c, equals, minus, 7, since this way we obtain \sqrt{49}=-7  

49

​  

=−7square root of, 49, end square root, equals, minus, 7.

Hint #33 / 4

Therefore, an extraneous solution is obtained for the ccc-value that makes 23-5c23−5c23, minus, 5, c equal -7−7minus, 7, which is c=6c=6c, equals, 6.

Substituting this back into the original equation gives \sqrt{29+4w}=23-6w  

29+4w

​  

=23−6wsquare root of, 29, plus, 4, w, end square root, equals, 23, minus, 6, w. You can now solve this for www and see for yourselves that w=5w=5w, equals, 5 is indeed extraneous.

Hint #44 / 4

The answer is:

c=6c=6

c = 6, makes w = 5 an extraneous solution of the equation √(29 + 4w) = 23 - cw.

A root of a transformed equation that is not a root of the original equation because it was omitted from the domain of the original equation is referred to as an extraneous solution.

In the question, we are asked to find the value for the constant c, that makes w = 5, an extraneous solution in the equation:

√(29 + 4w) = 23 - cw.

We first try to solve this equation, by squaring both sides,

29 + 4w = (23 - cw)²,

or, 29 + 4w = 23² - 2(23)(cw) + (cw)²,

or, 29 + 4w = 529 - 46cw + c²w²,

Now, we substitute w = 5, in the above equation to get:

29 + 4(5) = 529 - 46c(5) + c²(5)²,

or, 29 + 20 = 529 - 230c + 25c²,

or, 25c² - 230c + 480 = 0.

Solving this by the quadratic formula, we get:

[tex]c = \frac{-(-230)\pm \sqrt{(-230)^{2}-4(25)(480)}}{2(25)}[/tex] ,

or, [tex]c = \frac{230\pm \sqrt{52900-48000}}{50}[/tex] ,

or, [tex]c = \frac{230\pm \sqrt{4900}}{50}[/tex] ,

or, [tex]c = \frac{230\pm 70}{50}[/tex] ,

or, c = 300/50 or 160/50,

or, c = 6 or c = 3.2.

Now, we will check these values in the original equation by keeping w = 5.

When c = 6:

√(29 + 4w) = 23 - cw,

or, √(29 + 4(5)) = 23 - (6)(5),

or, √(29 + 20) = 23 - 30,

or, √49 = -7,

or, 7 = -7, which is not true.

Hence, c = 6 makes w = 5 an extraneous solution.

When c = 3.2,

√(29 + 4w) = 23 - cw,

or, √(29 + 4(5)) = 23 - (3.2)(5),

or, √(29 + 20) = 23 - 16,

or, √49 = 7,

or, 7 = 7, which is true.

Hence, c = 3.2 makes w = 5 a proper solution.

Therefore, c = 6, makes w = 5 an extraneous solution of the equation √(29 + 4w) = 23 - cw.

The question mentioned is not understandable. For proper question, refer to the attachment.

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Answer: 4,608

Step-by-step explanation:

9 x 16 = 144 x 32 = 4, 608

Answer:28 inches

Step-by-step explanation:

Answer:

If im correct the value of n should be 3

Step-by-step explanation:

Answer:

2 feet

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

what #1 said

Step-by-step explanation:

Answer:

We conclude that:

[tex]b=a-cd;\quad \:c\ne \:0[/tex]

Hence, option A is true.

Step-by-step explanation:

Given the expression

[tex]\frac{a-b}{c}=d[/tex]

Solving for b

[tex]\frac{a-b}{c}=d[/tex]

Multiply both sides by c

[tex]\frac{\left(a-b\right)c}{c}=dc;\quad \:c\ne \:0[/tex]

simplify

[tex]a-b=dc;\quad \:c\ne \:0[/tex]

Subtract a from both sides

[tex]a-b-a=dc-a;\quad \:c\ne \:0[/tex]

Simplify

[tex]-b=dc-a;\quad \:c\ne \:0[/tex]

Divide both sides by -1;  c≠0

[tex]\frac{-b}{-1}=\frac{dc}{-1}-\frac{a}{-1};\quad \:c\ne \:0[/tex]

simplify

[tex]b=a-cd;\quad \:c\ne \:0[/tex]

Therefore, we conclude that:

[tex]b=a-cd;\quad \:c\ne \:0[/tex]

Hence, option A is true.

Answer:

yes this is a function

Step-by-step explanation:

simple method to find if something is a function

if you can draw a vertical line at any point on the graph and get two intersections, it is not a function

Answer:

ratio is a constant since all circles are geometrically similar and linear proportions between any similar geometric figures are constant.

Step-by-step explanation:

Answer:

Answer is 18 degree as per the question

Answer: A. 18°

Step-by-step explanation:

Your formula is 108°+54°+X=180°
To find X, add 108° & 54°. The sum is 162°.
Next you need to subtract your sum from 180°.
180°-162°=18°
X=18°

Answer:

someone is in trouble

Step-by-step explanation:

I did that answer because it was help in capitalized letters so i thought someone was in trouble