AB=6CM AC= 12cm
calculate the length of CD

Answers

Answer 1

AB=6cm AC=12cm

AC² = AB + BC²

12² = 6² + CB²

CB² = 12² - 6²

CB² = 144 - 36

CB² = 108

CB = √ 108 cm.

sin 55° = CB / CD

0.81915 = √108 / CD

CD = 10.392 / 0.81915

CD = 12.686 cm

Answer 2

Answer:

Step-by-step explanation:

This was a question on mathswatch, so I’ve done this.

You need to round to 3 significant numbers

AB=6cm AC=12cm

AC² = AB + BC²

12² = 6² + CB²

CB² = 12² - 6²

CB² = 144 - 36

CB² = 108

CB = √ 108 cm.

sin 55° = CB / CD

0.81915 = √108 / CD

CD = 10.392 / 0.81915

CD = 12.686 cm

CD = 12.7 cm


Related Questions

What’s the correct answer for this?

Answers

Answer:

D = 23.4 units

Step-by-step explanation:

In the attached file


[tex] {2}^{5} [/tex]

Answers

Answer:

[tex]32[/tex]

Step-by-step explanation:

[tex] {2}^{5} \\ 2 \times 2 \times 2 \times 2 \times 2 \\ 4 \times 4 \times 2 \\ 16 \times 2 \\ = 32[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

The right answer is 32.

Look at the attached picture

hope it will help you

good luck on your assignment

A circle has a radius of 50 cm. Which of these is the closest to its area?
157 cm squared
314 cm squared
7,854 cm squared
15,708 cm squared

Answers

Answer:

  7,854 cm squared

Step-by-step explanation:

The formula for the area of a circle is ...

  A = πr^2

Filling in the given radius gives you ...

  A = π(50 cm)^2 = 2500π cm^2 ≈ 7854 cm^2

Which expression is equivalent to (3b + 2r)+(4b + r)

Answers

Answer:

7 b + 3 r

Step-by-step explanation:

What’s is the percentage difference between 26 and 14

Answers

the percent difference is 60%

Of the 34 cars in the parking lot, 12 are blue, 8 are red, 4are white, and 10 are silver. In simplest form, what are the odds in favor that the next car that leaves the lot will be red or white

Answers

Answer:

0.3529411765

Step-by-step explanation:

add red and white and divide it by the total

I really need help with this

Answers

Answer:

A  (-4, 1)B  (2, 5)

Step-by-step explanation:

The current endpoints are ...

  V = (-9, 2)

  W = (-3, 6)

Put each of these in the translation formula to see where the image points are.

  (x, y) ⇒ (x+5, y-1)

  (-9, 2) ⇒ (-9+5), 2-1) = (-4, 1) . . . . point V ⇒ V'

  (-3, 6) ⇒ (-3+5, 6-1) = (2, 5) . . . . . point W ⇒ W'

The new end points are (-4, 1) and (2, 5), matching choices A and B.

helpp me nowwwwwww dew Help Marshmello i wasn't born yesterday. xd

Answers

Answer: A) DE = 24 yd and EF = 10 yd

Step-by-step explanation:

Shape EFD is just a dilate of 2, meaning BCA x 2.

13 x 2 = 26

12 x 2 = 24

5 x 2 = 10

Therefore, DE = 24 yd and EF = 10 yd

I hope this helps!

Answer:

DE = 24, EF = 10

Step-by-step explanation:

We can use ratios to solve

13 ft           12 ft

---------- = -----------

26 ft          x ft

Using cross products

13x = 12*26

Divide each side by 13

13x/13 = 12*26/13

x = 24

13 ft           5 ft

---------- = -----------

26 ft          y ft

Using cross products

13y = 5*26

Divide each side by 13

13y/13 = 5*26/13

y = 10

What -13/5÷(2/3) in mixed numbers

Answers

Look at the attached picture

Hope it will help you

An initial investment of $200 is now valued at $350. The annual interest rate is 8% compounded continuously. The equation

2000007 350 represents the situation, where t is the number of years the money has been invested. About how long has the

money been invested? Use a calculator and round your answer to the nearest whole number

5 years

7 years

19 years

22 years

Answers

Answer:

  7 years

Step-by-step explanation:

We expect your equation is ...

  200e^(.08t) = 350

Dividing by 200 and taking the natural log, we have ...

  0.08t = ln(1.75)

  t = ln(1.75)/.08 ≈ 7.0

The money has been invested 7 years.

Is 0 a natural number?

Answers

Answer:

Yes 0 is a natural number

Step-by-step explanation:

I googled it

Step-by-step explanation:

Zero is not positive or negative Even though zero is not a positive number it is still considered a whole number yes it is a natural number because it is on the number line

Find the real solution(s) of the equation. Round your answer to two decimal places when appropriate. 5x^6=30

Answers

Answer:

The real solutions are

[tex]x=\sqrt[6]{6}\approx 1.35\\\\\:x=-\sqrt[6]{6}\approx -1.35[/tex]

Step-by-step explanation:

The solution, or root, of an equation is any value or set of values that can be substituted into the equation to make it a true statement.

To find the real solutions of the equation [tex]5x^6=30[/tex]:

[tex]\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5x^6}{5}=\frac{30}{5}\\\\\mathrm{Simplify}\\\\x^6=6\\\\\mathrm{For\:}x^n=f\left(a\right)\mathrm{,\:n\:is\:even,\:the\:solutions\:are\:}x=\sqrt[n]{f\left(a\right)},\:-\sqrt[n]{f\left(a\right)}\\\\x=\sqrt[6]{6}\approx 1.35\\\\\:x=-\sqrt[6]{6}\approx -1.35[/tex]

ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Show your work OR give an explaination.

Answers

Answer:

  B.  5x^2 -4

Step-by-step explanation:

(f+g)(x) = f(x) + g(x)

  = (4x^2 +1) +(x^2 -5) . . . . . . substitute for f(x) and g(x)

  = x^2(4 +1) +(1 -5) . . . . . . . . collect terms

(f+g)(x) = 5x^2 -4

Simplify to create an equivalent expression.
-3(2 + 4k) + 7(2k - 1)
Choose 1 answer:
2k - 13

Answers

Answer:2k-13

Step-by-step explanation:

Answer:

2k-13.

Step-by-step explanation:

We can simplify this equation using the Distributive Property:

-3(2 + 4k) + 7(2k-1) becomes

-6 - 12k + 14k -7

Combining like terms gets us:

2k-13.

How do you make a decimal into a fraction?

Answers

Answer:

Step 1: Write down the decimal divided by 1, like this: decimal 1.

Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

Step 3: Simplify (or reduce) the fraction.

The volume of the mold is 186 cubic feet concrete is sold by cubic yard how many cubic yards of concrete will I need to fill mold

Answers

Answer:

Volume of the mold is [tex]6.93\ \text{yards}^3[/tex].

Step-by-step explanation:

The volume of the mold is 186 cubic feet concrete. It is to be sold by cubic yard. It means that we need to convert cubic feet to cubic yard.

1 feet = 0.334 yards

[tex]186\ \text{feet}^3=186\times (0.334\ \text{yards})^3\\\\V=6.93\ \text{yards}^3[/tex]

So, the volume of the mold is [tex]6.93\ \text{yards}^3[/tex].

write an equation in point-slope form for the line that has a slope of 15 and contains the point (2,−9).

Answers

Answer:

  y +9 = 15(x -2)

Step-by-step explanation:

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . for slope m and point (h, k)

Here, you are given m=15 and (h, k) = (2, -9). Putting these values into the form gives the equation ...

  y +9 = 15(x -2)

2. 4x - 2y = -6
-6x + 2y = 2

Answers

Answer:

x = 2, y =7

Step-by-step explanation:

4x - 2y = -6

-6x + 2y = 2

Add the equations together

4x - 2y = -6

-6x + 2y = 2

-----------------------

-2x = -4

Divide each side by -2

-2x/-2 = -4/-2

x = 2

now find y

-6x+2y =2

-6(2) +2y =2

-12+2y =2

Add 12 to each side

-12+12+2y = 2+12

2y =14

Divide by 2

2y/2 =14/2

y =7

the circumference of a circle is 107.81 yards. Find the diameter of the circle to the nearest tenth

Answers

Answer:

68

Step-by-step explanation:

Divide the circumference by pi, approximately 3.14, to calculate the diameter of the circle. For example, if the circumference equals 56.52 inches, divide 56.52 by 3.14 to get a diameter of 18 inches. Multiply the radius by 2 to find the diameter.

Answer:

the answer is attached to the picture

division concepts
how many times can 9 go into .7632 ?

Answers

Answer:

None! .7632 is smaller than 9.

Step-by-step explanation:

None, did you mean how many times does .7632 go into 9? For that you can just divide 9 by the other number...

Find S9, the sum of the geometric series to the 9th term, in which a3=3.645 and a8=15

Answers

Answer:

The sum of the first nine terms of the sequence is 74.44.

Step-by-step explanation:

Geometric sequence concepts:

The nth term of a geometric sequence is given by the following equation.

[tex]a_{n+1} = ra_{n}[/tex]

In which r is the common ratio.

This can be expanded for the nth term in the following way:

[tex]a_{n} = a_{1}r^{n-1}[/tex]

In which [tex]a_{1}[/tex] is the first term.

Or even:

[tex]a_{n} = a_{m}r^{n-m}[/tex]

The sum of the first n terms of a geometric sequence is given by:

[tex]S_{n} = \frac{a_{1}(1 - r^{n})}{1 - r}[/tex]

Finding the common ratio:

[tex]a_{3} = 3.645, a_{8} = 15[/tex]

[tex]a_{n} = a_{m}r^{n-m}[/tex]

[tex]a_{8} = a_{3}r^{8-3}[/tex]

[tex]a_{3}r^{5} = a_{8}[/tex]

[tex]3.645r^{5} = 15[/tex]

[tex]r^{5} = \frac{15}{3.645}[/tex]

[tex]r = \sqrt[5]{\frac{15}{3.645}}[/tex]

[tex]r = 1.327[/tex]

Finding the first term:

[tex]a_{3} = a_{1}r^{2}[/tex]

[tex]a_{1} = \frac{a_{3}}{r^{2}}[/tex]

[tex]a_{1} = \frac{3.645}{(1.327)^{2}}[/tex]

[tex]a_{1} = 2.07[/tex]

Sum of the first nine terms:

[tex]S_{9} = \frac{2.07*(1 - (1.327)^{9})}{1 - 1.327} = 74.44[/tex]

The sum of the first nine terms of the sequence is 74.44.

Answer:

S₉ = 9.84

Step-by-step explanation:

In a geometric series, the general formula for nth term is:

an = a₁rⁿ⁻¹

where,

an = nth term

a₁ = first term

r = common ratio

From this formula, we have:

a₃ = a₁r² = 3.645   --------- equation (1)

a₈ = a₁r⁷ = 15    ----------- equation (2)

dividing both of these equations, we get:

a₁r⁷/a₁r² = 15/3.645

r⁵ = 4.115

r = (4.115)^1/5

r = 1.33

Now, put this value in equation (1), we get:

a₁(1.33)² = 3.645

a₁ = 0.27

Now, the formula for the sum of geometric series upto nth term is:

Sn = a₁(rⁿ - 1)/(r - 1)

therefore,

S₉ = (0.27)(1.33⁹ - 1)/(1.33 - 1)

S₉ = 9.84

What’s the range of 39, 41, 5, 43, 26, 7, 43, 24, 41

Answers

Answer:

38

Step-by-step explanation:

Range= highest number - lowest number

Range= 43-5

=38

Step-by-step explanation:

Step 1:  Find the highest number and the lowest number

Highest Number → 43

Lowest Number → 5

Step 2:  Find the range by subtract the lowest number from the highest number

Highest Number - Lowest Number

43 - 5

38

Answer:  The range is 38

Multiply and write in standard form.
(3x − 2)(5x2 – 3x + 4)​

Answers

Step-by-step explanation:

[tex](3x-2)(5x^2-3x+4)[/tex]

[tex]15x^3-9x^2+12x-10x^2+6x-8[/tex]

Now, combine like terms.

[tex]15x^3-19x^2+18x-8[/tex]

Carl earned grades of 62, 78, 59, and 89 on four math tests.
What is the mean of his grades?
A. 68.5
B. 70
C. 72
D. 74
E. 75.5

Answers

Answer:

Mean, m = 72

Step-by-step explanation:

It is given that, Carl earned grades of 62, 78, 59, and 89 on four math tests.

It is required to find the mean of his grades.

Mean of a data is given by :

[tex]m=\dfrac{\text{sum of observations}}{\text{total no of observations}}[/tex]

Sum of observations is 62 + 78 + 59 + 89 = 288

Total no of observations are 4

So, mean of his grades is :

[tex]m=\dfrac{288}{4}\\\\m=72[/tex]

So, the mean of his grades is 72.

Option C is correct. If Carl earned grades of 62, 78, 59, and 89 on four math tests, the mean of his grades is 72

Mean is the average of the given data. It is expressed mathematically as:

[tex]\overlibe x=\frac{\sum x}{N}[/tex]

[tex]\sum x[/tex] is the sum of the variables

N is the total test taken

[tex]\sum x = 62 + 78 + 59 + 89\\\sum x = 288\\\\N = 4[/tex]

Substitute the resulting values into the mean formula:

[tex]\overline x = \frac{288}{4}\\ \overline x =72[/tex]

This shows that the mean of his grades is 72

Learn more here:https://brainly.in/question/2401311

plzzzzzzzz i need help

Michael is cutting a 100-yard ribbon into pieces 3.4 yards long. He says that an inequality that represents his project is 3.4x < 100. Explain what this statement means, in words, and what each part of the inequality represents.

Answers

Answer:

Okay well the 3.4 yard pieces are the constant in which Michael will be cuttings that number stays the same an will not change. The (X) represents the unknown number of how many times the ribbon will be cut. As the whole inequality states the unknown number of pieces that are 3.4 yards long are less than 100 yards.

Answer:

The variable, x, is the number of pieces of ribbon Michael cuts. Since each piece is 3.4 yards long, 3.4x is the total length of all the pieces together. This total length cannot be more than the 100 yards of ribbon he has, so 3.4x must be less than or equal to 100.

Determine the intercepts of the line.
9x-7y=14

Answers

Answer:

The intercepts of the line: 9x - 7y = 14

For x-intercept, in this case: y = 0, => 9x = 14 => x = 14/9

=> x-intercept (14/9, 0)

For y-intercept, in this case: x = 0, => -7y = 14 => y = -2

=> y-intercept (0, -2)

Hope this helps!

:)

What is the length of Line segment A C? Round to the nearest tenth.

Answers

Answer:

wheres the info

Step-by-step explanation:

Answer:

A: 10.5 m

Step-by-step explanation:

i think it's A, i may be wrong! hope this helps!!~

Hello my daughter needs help on her homework Thi is her question
Can you work out the diameter of these new planets using the clues below?
Vesta is 10 times bigger than Athena.
Athena has half the diameter of Vulcan.
Juno is 10 times bigger than Athena.
Ceres is 100 times bigger than Vulcan.
Vulcan is 20 530km in diameter.
Apollo is 100 times bigger than Athena
I hope you all can help my daughter as me and her father is confused as well

Answers

Answer:

Athena = 10,265 km

Vesta = 102,650 km

Juno = 102,650 km

Ceres = 2,053,000 km

Apollo = 1,026,500 km

Step-by-step explanation:

Athena = 20,530 / 2 = 10,256

From there, you can work out the rest by multiplying accordingly.

Hope this helps and made sense! :)

A 3-pack of popsicles costs $0.23. What is the unit price, rounded to the nearest cent?

Answers

Answer:

$0.08

Step-by-step explanation:

Take 0.23 and divide it by 3 to get an individual cost and round to the nearest tenth.

Answer:

Step-by-step explanation:

.23 ÷3=.076

Rounded up .08

Which of the following measures of variability can be used to compare two data sets?
a. mean

b. median
c. mode
d. range

Answers

Answer:

The answer is D. Range Hopefully this helps!

Answer:

D

Step-by-step explanation:

Hope this helps

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