find the value of x ​

Answer/Step-by-step explanation:

✔️Find EC using Cosine Rule:

EC² = DC² + DE² - 2*DC*DE*cos(D)

EC² = 27² + 14² - 2*27*14*cos(32)

EC² = 925 - 756*cos(32)

EC² = 283.875639

EC = √283.875639

EC = 16.85 cm

✔️Find the area of ∆DCE:

Area = ½*14*27*sin(32)

Area of ∆DCE = 100.15 cm²

✔️Since ∆DCE and ∆ABE are congruent, therefore,

Area of ∆ABE = 100.15 cm²

✔️Find the area of the sector:

Area of sector = 105/360*π*16.85²

Area = 260.16 cm² (nearest tenth)

✔️Therefore,

Area of the logo = 100.15 + 100.15 + 260.16 = 460.46 ≈ 460 cm² (to 2 S.F)

Answer:

C

Step-by-step explanation:

The LCD is 6

Answer:14 i think

Step-by-step explanation:

you have 2 possibilitys first one is 13 and the second one is 14 but im going to go with 14

=====================================================

Work Shown:

Draw a vertical line through point C. This vertical line crosses line segment ED to form point F. I've shown this point in blue. Refer to the diagram below.

Focus on the triangle CFD. This is a right triangle with the 90 degree angle at point F.

Triangle CFD has the vertical red portion equal to 12 units, since segment EB is 12 units (note how quadrilateral BCFE is a rectangle).

Segment FD is ED-BC = 17-10 = 7 units long.

Let's apply the pythagorean theorem to find the hypotenuse CD

a^2 + b^2 = c^2

(CF)^2 + (FD)^2 = (CD)^2

(12)^2 + (7)^2 = (CD)^2

144 + 49 = (CD)^2

193 = (CD)^2

(CD)^2 = 193

CD = sqrt(193)

CD = 13.8924439894499 approximately

CD = 14

When rounding to the nearest whole number, segment CD is approximately 14 units long.

Answer:

2x [tex]\sqrt[3]{2x}[/tex] - [tex]\sqrt[3]{2x}[/tex]

Step-by-step explanation:

you can take the cubed root of [tex]\sqrt{16x^4}[/tex] and make it become the cubed root of ∛(2)³ · 2 · x³ · x   which would equal 2x· ∛2x

I don't believe 2x· ∛2x - ∛2x can be simplified

Answer:

1cm:5km

Step-by-step explanation:

9514 1404 393

Answer:

  75

Step-by-step explanation:

Since there are twice as many chachalacas as flamingos, the ratio of flamingos to parrots to herons to chachalacas is 10:7:3:5. This is a total of 25 ratio units. Each ratio unit stands for 375/25 = 15 birds, so the number of chachalacas is 5·15 = 75.

There are 75 chachalacas at the sanctuary.

Answer:

b = 8

Step-by-step explanation:

The real part of the givens add correctly.

bi - 2i = 6i         Add 2i to both sides.

bi = 6i + 2i

bi = 8i               The i's will cancel

b = 8

Answer:

Aditi makes 25 dollars an hour

Step-by-step explanation:

I did that too :)

Answer:

30

Step-by-step explanation:

cos ^-¹ (20/23) = angle

angle = 29.59

round up = 30

hope it helps

Answer:

36 numbers

Step-by-step explanation:

Number of digits in a number between 4000 and 5000 = 4

_ _ _ _

First digit of the number will be filled by 4.

So, the number of ways to fill the first digit = 1

4 _ _ _

If the given number is divisible by 5 then the last digit should be 5.

4 _ _ 5

So, the number of ways that the last digit should be 5 is = 1

Remaining 2 digits between 4 and 5 can be filled by any number given.

Therefore, number of ways that second place can be filled = 6

Similarly, number of ways that the third place of the number can be filled = 6

Now total number of ways = 1 × 6 × 6 × 1

                                             = 36

Therefore, numbers between 4000 and 5000, divisible by 5 = 36

Answer:

A ITS A

because 9*9*9 and it divides by 2

Answer:

I think it's B.

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Younger Brother- 21

Camila- 24

Older Brother- 29

21+24+29 = 74

Answer:

47,04 miles

Step-by-step explanation:

you can clearly see something 20 feet away that you should be able to see from that distance. If a person can see 6 miles from a height of 25 feet, by dividing 196 by 25 we can get the following calculation

196 ÷ 25 = 7,84

Then you gan multiply

7,84 × 6 = 47,04 miles

Or equal to 75703,542 meters

9514 1404 393

Answer:

  L = 5√10

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.

  (10√3)² = L² + (5√2)²

  300 = L² + 50 . . . . . . . . . evaluate the squares

  L² = 300 -50 = 250 . . . . subtract 50

  L = √250 = (√25)(√10) . . . . take the square root and factor for simplification

  L = 5√10

Answer:

D. 2x2x3x3

Step-by-step explanation:

2x2 is equal to 4

4x3 is equal to 12

12x3 is equal to 36

Answer:=25

Step-by-step explanation:

Answer:

2 is B

3 is C

and i'm pretty sure 4 is B

Step-by-step explanation:

the calculator says otherwise -.-

Thats the correct answer.

Answer:6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

C) Divide both sides by 12; the solution is 45.

Step-by-step explanation:

Hope this helps got it right on Edge 2021

Answer:

The correct answer is C

Step-by-step explanation:

Serious Question That may give you 100% Verify right answer:

Do you have a Image since I already answer here the answer

Answer

5.0/5

7

oeerivona

Answer:

The value of x is 9°

Step-by-step explanation:

The given parameters are;

ΔUVW with side UW extended to X

m∠UVW = (3x + 4)°

m∠VWX = (8x -12)°

m∠WUV = (x + 20)°

We have that m∠UVW + m∠WUV  + m∠VWU = 180° (Sum of the interior angles of a triangle theorem)

∴ m∠VWU = 180° - (m∠UVW + m∠WUV)

Also we have that m∠VWX and m∠VWU are supplementary angles, (The sum of angles on a straight line)

∴  m∠VWX + m∠VWU = 180° (Definition of supplementary angles)

m∠VWU = 180° - m∠VWX

∴ m∠VWX = (m∠UVW + m∠WUV)

Substituting the values, gives;

(8x -12)° = (3x + 4)° + (x + 20)°

8x - 3x - x = 4 + 20 + 12

4x = 36

x = 36/4 = 9

x = 9°.

Answer:

2 cakes

Step-by-step explanation:

You need 2 cakes minimum for 6  people if she wants each person to get 1/5 of a cake.

Answer:

(√12,-π/6)

Step-by-step explanation:

r^2 = 9+3 = 12

tanθ = √3/-3 = -1/√3

Answer:

D

Step-by-step explanation:

Correct on edge

Answer/Step-by-step explanation:

If in the value of x into each given equation to find y:

✔️x = 3.5,

y = -2(3.5) + 4

y = -7 + 4

y = -3

✔️x = -1,

y = ½(-1) + 11 = -½ + 11

y = (-1 + 22)/2 = 21/2

y = 10.5

✔️x = 0

0 + y = 1

y = 1

✔️x = 4,

2(4) - y = 5

8 - y = 5

-y = 5 - 8

-y = -3

Divide both sides by -1

y = 3

Answer:

Step-by-step explanation:

Average growth rate is the difference in growth over the period of the time:

Answer:

its d 31 is 5 less than 36.....

Answer:

100 square centimeters

Step-by-step explanation:

Answer:

When we have a rectangle of length L and width W, the area is calculated as:

A = W*L

In this case, W = x, and the area is:

A = 2*x

Then we must have  L = 2.

We know that the area of the window and the frame (together) is:

a = 2*x^2 + 12*x + 16

The area of the frame alone, will be equal to the difference between the area of both objects (a) and the area of the window alone (A)

area of the frame = a - A

                             = (2*x^2 + 12*x + 16) - (2*x) = (2*x^2 + 10*x + 16)

This is the area of the frame

Answer:

bond $42,500

CD $37,500

Step-by-step explanation:

While x is investment in bond in k$

          y is investment in CD in k$

[tex]x+y=80\\.15x+.07y=9[/tex]

Solving gives

x=42,5

y=37,5