E
1)
AC = 9 cm
AB = 3 cm
DE = 20 cm
Angle ABC = angle CBD= angle BDE = 90°
20 cm
9 cm
Calculate the length of CD.
Give your answer to 3 significant figures.
50°
А
D
→B
3 cm

Please could you could give me a step by step.

Answer:

y = 1

x = -1

Step-by-step explanation:

x - 2y = -3, then x = 2y - 3

2x + y = -1

substitute for x:

2(2y - 3) + y = -1

4y - 6 + y = -1

5y = 5

y = 1

x = 2 - 3 = -1

Answer:

it can only be simp[lified

so it will be

(x+2x)+(y+2y)=-3-1

3x+3y=-4

cannot be solved further

Step-by-step explanation:

Answer:

AC ≈ 10.1 m

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos20° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{9.5}{AC}[/tex] ( multiply both sides by 9.5 )

AC × cos20° = 9.5 ( divide both sides by cos20° )

AC = [tex]\frac{9.5}{cos20}[/tex] ≈ 10.1 m ( to 3 sf )

Answer:

1/4

Step-by-step explanation:

Answer:

7/32

(btw thats the simplified version....look at the bottom for non-simplified if you didnt need it simplified)

Step-by-step explanation:

first count how many squares there are in total

its 8 by 8 so in total there are 64!

now there is the green triangle.....

count all the whole squares in it = 10

now count all the half squares (little triangles in it)= 8

Now if you put those little triangles together it would make one small unit square so it is 4 of all

10 + 4 = 14

So there is a Total of 14 unit squares in the green triangle

Fraction Time......

now lets take 14/64 and simplify it

that would be 7/32

We cant make it any more simplified now if you werent looking for the simplified version the your answser would be 14/64

Answer:

c

Step-by-step explanation:

(-5,-9) --> (-8,-2)

Answer:

D.) the amount in the account increase by 4% each year

Step-by-step explanation:

Compound interest formula: P*(1+r/n)^(nt)

P=initial principal balance

r=interest rate

n=times applied per [time (eg year)]

t=number of time periods gone by

The expression: 2500(1.04)^x

The expression: 2500(1+1/25)^(nt)

1.04=1+1/25=increases by 4% each year

Answer:

x=7.965784

Step-by-step explanation:

Answer:

6, 8, and 10

Step-by-step explanation:

For a set to represent the side lenghts of a right triangle, square value of hypotenus must be equal to sum of square value of other two side lenghts

the set that meet these requirment is

10^ = 6^2+8^2

100 = 36 + 64

Answer:

its 2,3 and 4 its the correct answer

#CARRY ON LEARNING

Answer:

1/10

Step-by-step explanation:

we already know skler has done 3/10s we make Rileys into 4/10 4/10 minus 3/10 is 1/10

0.4-0.3=0.1

The person does about 1/10, 0.1, and 10% more.

Answer:

B

Step-by-step explanation:

if you can see in the graph, the graph axes calculation is not the same with the one given.

Answer:

[tex]c= \sqrt{41}[/tex]

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2} \\4^{2} + 5^{2} = 16 + 25 = \sqrt{41} = c[/tex]

Answer:

6.4

Step-by-step explanation:

As we can see it is a right angled triangle so

perpendicular (p)= 5

base (b) = 4

hypotenuse (h) = c = ?

we know

by using Pythagoras theorem,

h² = p² + b²

or h = √(p² + b²)

c = √( 5² + 4 ² )

c = √41

c = 6.4

hope it helps :)

Answer:

x = 5

Step-by-step explanation:

If you input the y-value into the equation you get x = 5.

-6x-8(-2) = -14

-6x+16 = -14

-6x+16-16 = -14-16

-6x = -30

(-6x)/-6 = (-30)/-6

x = 5

Answer:

m= 188 and Angle 3 = 90-47 = 43

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

From the question given, angle 3 is a complement of angle 4, and angle 4 is 47 degrees.

Complementary angles add up to 90 degrees.

[tex]90 - 47 = 43[/tex]

Angle three should measure 43 degrees.

Hope this helps.

The square root of 49/900 is 7/30 according to the given question, it can be done through simplification process.

To find the square root of 49/900, we can simplify the fraction first:

The square root of a number is a mathematical operation that determines a value which, when multiplied by itself, yields the original number. In simpler terms, the square root of a number "x" is the value "y" such that y multiplied by y equals x. The square root is denoted by the radical symbol (√).

49/900 = [tex](7^2)/(30^2)[/tex]

Taking the square root of the numerator and denominator separately, we get:

√ [tex](7^2) /[/tex]√([tex]30^2[/tex])

Simplifying further, we have:

7/30

Therefore, the square root of 49/900 is 7/30.

To know more about  square root here

https://brainly.com/question/428672

#SPJ2

Answer:

No they will no have the same strength. So what I did was find a common number between them so between 8 and 6 they both can be multiplied to 24. So 6 goes into 24 4 times so I multiplied 3 times 6 and then 8 goes into 24 3 times so I multiplied 3 and 5 and so the final answer is that bart has more strong fertilizer

Step-by-step explanation:

6*4=24 4*3=12

8*3=24  5*3=15

Answer:

True

Step-by-step explanation:

J(9 , 0) ;   K(-3 , -4)

Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]

               [tex]= (\frac{9+(-3)}{2},\frac{0+(-4)}{2}\\\\\\= (\frac{6}{2},\frac{-4}{2})\\\\=(3 , -2)[/tex]

(3 , -2) lies in quadrant IV

Answer:

first

2nd

_______________

Answer:

the y intercept

so up 1 from (0,0)

Answer:

1/676

Step-by-step explanation:

In a deck of cards there are 2 red 8's ( 8 of diamonds and 8 of hearts)

P( red 8)  = number of red 8's/ total

               = 2/52 = 1/26

Then we put the card back so there are still 52 cards

In a deck of cards there are 2 black 10's ( 10 of spades and 10 of clubs)

P( black)  = number of black 10's/ total

               = 2/52 = 1/26

Multiply the probabilities together

P( red 8, black 10) = 1/26 * 1/26 = 1 /676

Answer:

10

Step-by-step explanation:

The pattern is multiplication by 2,

5x2 is 10

10x2 is 20,

and so on

Answer:

your answer is 10

Step-by-step explanation:

5 ,10 ,20 ,40 ,80

Answer:

4 hours

Step-by-step explanation:

15 x 4 = 60

$60

Answer:

4 hours.

Step-by-step explanation:

We are looking for the amount of money Annie will need to earn 60.

Let the equation be 15+x=60.

The equation could be represented as 15+x=60, or 60-15=x.

The easier solution would be to subtract.

When we subtract 60-15 we get 45, therefore the value of x is 45 making the statements true.

15+45=60 and 60-15=45 as well.

We know she earns 15 an hour, so we have to see how many 15 we can add up to get to 60.

15+15+15+15=60, therefore she will need to work 4 hours.

Answer:

Sawyer had $50 in his account before his purchase.

Step-by-step explanation:

$10.25 + $39.75 = $50

So he had $50 before he bought the journal

                   Hope this helps! good luck :)

Answer:

8.3% probability

Step-by-step explanation:

(3) YELLOW  ⇒   [tex]\frac{3}{12}[/tex]   ⇒  25%

(5) BLUE       ⇒   [tex]\frac{5}{12}[/tex]   ⇒  41.6%

(4) RED         ⇒   [tex]\frac{4}{12}[/tex]   ⇒  33.3%

║(12) IN TOTAL

[tex]\frac{4}{12}[/tex] ⋅ [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{12}[/tex]

[tex]\frac{1}{12}[/tex] = 8.3%

PROBABILITY OF (1) RED, AND (1) YELLOW  ⇒ 8.3% probability

Answer:

x = -6

Step-by-step explanation:

3/2x + 8 = -1

3/2x = -9

x = -9 x 2/3

x = -6

Hope that helps! A Brainliest would be appreciated! :)

<3 Cin

Answer:

Singapore

Step-by-step explanation:

I did japan and I got it wrong and it told me the right one was Singapore.

Hope this helps!

BRAINLIEST PLEASE!!

FROM: AUG1E

Answer:

13.9

Step-by-step explanation:

13.85 feet far up the side of the house will the ladder reach now.

Given that, a 26 feet ladder is set against the side of a house so that it reaches up 24 feet.

In mathematics, you can calculate the height of an object using the distance and angles. Here distance is the horizontal distance between the object and the angle is the angle above the horizontal of the top of the object, which gives the height of the object.

Let the distance between base of house to foot of the ladder be x.

Using Pythagoras theorem 26²=24²+x²

⇒ 676 = 576 + x²

⇒ x² = 100

⇒ x =10 feet

Mila grabs the ladder at its base and pulls it 12 feet farther from the house.

Now, the distance between base of house to foot of the ladder = x+12

= 10+12 = 22 feet.

So, up the side of the house the ladder reach = 24-h

Then, 26² = (24-h)²+22²

⇒ 676 = (24-h)²+484

⇒ (24-h)² = 192

⇒ (24-h) = √192

⇒ (24-h) = 13.85

⇒ h = 24-13.85

⇒ h = 10.15 feet

Therefore, 13.85 feet far up the side of the house will the ladder reach now.

To learn more about the heights and distance in trigonometry visit:

https://brainly.com/question/27917190.

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Answer:

2

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer: The first graph

Step-by-step explanation: I used a graphing calculator