Help! I need help with finding the value of x.

Answer:

m<ABC = 71°

Step-by-step explanation:

Given:

m<BCA = 71°

x = 31 cm

y = 50 cm

Required:

m<ABC

Solution:

First, find AB, using Cosine Rule:

AB² = x² + y² - 2xy*Cos m<ABC

Plug in the values

AB² = 31² + 50² - 2(31)(50)*cos 71

AB² = 3,461 - 1,009.26128

AB² = 2,451.73872

AB = √2,451.73872

AB = 49.5150353 ≈ 50 cm

✔️Since AB ≈ 50 cm, and AC is also 50 cm, it means the triangle is an isosceles triangle.

Therefore, the base angles of ∆ABC, <ABC and <BCA, would be congruent.

Therefore,

m<BCA = m<ABC = 71°

m<ABC = 71°

Answer:

i gussing add them together

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

n + 9 = 14

=> n + 9 - 9 = 14 - 9. [For isolating the variable we subtract 9 from both sides]

=> n = 5 (Ans) [ Variable isolated]

I don't see a figure, but to find area use the formula:

A= W x H

(W= width H= height)

Answer:

His daughter received $ 1,271,760.

Step-by-step explanation:

Given that a man had $ 10,072,540 with him, and he gave $ 4,836,080 to his wife, $ 3,964,790 to his son and the rest to his daughter, to determine how much money was received by the daughter, the following calculation must be performed:

10,072,540 - 4,836,080 - 3,964,790 = X

5,236,460 - 3,964,790 = X

1,271,670 = X

Thus, his daughter received $ 1,271,760.

Answer:

1420

Step-by-step explanation:

delta math

The required length of n is 1419.5 cm which is determined by the Law of Cosines.

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.

In triangle ΔLMN,

l = 810 cm, m = 620 cm and ∠N=166°.

We have to determine the length of n

The Law of Cosines as it relates all three sides of a triangle with an angle of a triangle.

n² = l² + m² − 2lm cos(N)

Substitute the values in the above formula and solve for n

n² = 810² + 620² − 2 × 810 × 620 × cos(166°)

n² = 810² + 620² − 104400 × cos(166°)

n = ±1419.5

n = 1419.5, and n = - 1419.5

Neglected the value of n = - 1419.5 because length should not be negative.

n = 1419.5 cm

Learn more about the triangles here:

https://brainly.com/question/17997149

#SPJ2

Answer:

A. Sine Y = 20 / 29

B. Cos Y = 21 / 29

C. Tan Y = 20 / 21

D. Sine Z = 21 / 29

E. Cos Z = 20 / 29

F. Tan Z = 21 / 20

Step-by-step explanation:

A. Determination of Sine Y

Opposite = 20

Hypothenus = 29

Sine Y =?

Sine Y = Opposite / Hypothenus

Sine Y = 20 / 29

B. Determination of Cos Y

Adjacent = 21

Hypothenus = 29

Cos Y =?

Cos Y = Adjacent / Hypothenus

Cos Y = 21 / 29

C. Determination of Tan Y

Opposite = 20

Adjacent = 21

Tan Y =?

Tan Y = Opposite / Adjacent

Tan Y = 20 / 21

D. Determination of Sine Z

Opposite = 21

Hypothenus = 29

Sine Z =?

Sine Z = Opposite / Hypothenus

Sine Z = 21 / 29

E. Determination of Cos Z

Adjacent = 20

Hypothenus = 29

Cos Z =?

Cos Z = Adjacent / Hypothenus

Cos Z = 20 / 29

Determination of Tan Z

Opposite = 21

Adjacent = 20

Tan Z =?

Tan Z = Opposite / Adjacent

Tan Z = 21 / 20

Answer:

3x + 5 = 12 - 7x

⇒ 3x = 12 - 5 - 7x

⇒ 3x = 7 - 7x

⇒ 3x + 7x = 7

⇒ 10x = 7

⇒ x= 7 ÷ 10

⇒ x = 0.7

Answer:

Step-by-step explanation:

You can think of it like adding two regular numbers, but you have to keep the y so:

-5y + 2y = -3y

Step-by-step explanation:

let the no be x and y

x+y=15

y=15-x.......eqn i)

x-y=3..........eqn ii)

putting value of y from eqn i ) to eqn ii)

x-y=3

x-(15-x)=3

x-15+x=3

2x-15=3

2x=18

x=9

no,putting value of x in eqn i)

y=15-x

y=15-9

y= 6

So,the value of x is 9 and y is 6

Answer:

D

Step-by-step explanation:

Answer:

x intercept =(-5/3,0)

y intercept = (0,5)

Step-by-step explanation:

FOR THE X INTERCEPT:

-plug 0 in for the y value because the y value is 0 at the x intercept.

     * 3x-0=-5 ---> 3x=-5 -----> x=-5/3 while y = 0

FOR THE Y INTERCEPT

-do the same thing as the x intercept, but instead of making y 0, make x 0.

     * 3(0) -y=-5 ----> 0-y=-5 -----> -y=-5 ------->y=5 while x=0

Answer:

yes

Step-by-step explanation:

If you post a question I will help anyone.

Answer:

I would love to help anyone and I wouldn't judge the person's age. You can ask me any math question and I will have an answer for you

Answer:

22

Step-by-step explanation:

22.5 is more accurate

Answer:

0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507

Step-by-step explanation:

The probability of drawing each chip is the same, which means that the uniform distribution is used to solve this question.

Uniform distribution:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distribution has two bounds, a and b, and the probability of finding a value lower than x is given by:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

There are 797 identical plastic chips numbered 1 through 797 in a box.

This means that [tex]a = 1, b = 797[/tex]

What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 507?

[tex]P(X < 507) = \frac{507 - 1}{797 - 1} = 0.6357[/tex]

0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507

Answer:

G. 12

Step-by-step explanation:

5/10=(x+5)/(3x+3)

1/2=(x+5)/(3x+3)

Cross multiply

3x+3=2x+10

x=7

AC=x+5=12

Answer:

The 99% confidence interval for the true mean number of Banana Bombs in 10.40 ounce packages is between 689.3 and 703.86.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{12.33}{\sqrt{19}} = 7.28[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 696.58 - 7.28 = 689.3 pieces

The upper end of the interval is the sample mean added to M. So it is 696.58 + 7.28 = 703.86 pieces

The 99% confidence interval for the true mean number of Banana Bombs in 10.40 ounce packages is between 689.3 and 703.86.

Answer:

6 benches are needed

Step-by-step explanation:

3/4= 6/8

1/8 goes into 6/8, 6 times so,

6 benches are needed on the 3/4 mile trail

Answer:

Like terms are terms whose variables are the same. In other words, terms that are "like" each other. For example, 2x and 3x are like terms. Furthermore, 3y² and 4y² are also like terms. If two factors are like terms they can be combined.

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

Answer: x > 2/3

Step-by-step explanation:

-1 - x/2 < x

Simplify:

-1/2x + 1 < x

Subtract x from both sides:

-1/2x + 1 - x < x - x

-3/2x + 1 < 0

Subtract 1 from both sides:

-3/2x + 1 - 1 < 0 - 1

-3/2x < -1

Multiply both sides by 2/(-3):

2/(-3) (-3/2) < 2/(-3) (-1)

x > 2/3

Answer:

The average of these numbers will rise to 16.

Step-by-step explanation:

Given that the average of 5 consecutive number is 15, to determine what would be the effect on the average if the next two numbers were also included, the following logical reasoning must be performed:

13 + 14 + 15 + 16 + 17 = 75/5 = 15

Thus, if the numbers 18 and 19 are added, and then this result is divided by 7, the following average is obtained:

(75 + 18 + 19) / 7 = X

112/7 = X

16 = X

Thus, the average of these numbers will rise to 16.

Step-by-step explanation:

16 feet is equal to 192 inches.

Hope it helps :)❤

Answer:

192 inches is equal to 16 feet.

(Hope this helps! Btw, I answered first. Brainliest please! :D)

Answer:

Im pretty sure its 7.5 litres i might be wrong still.

Answer:

7,500 cm

Step-by-step explanation:

It would be 7,500 cm because if you do 50 X 10 you get 500 because the volume formula is L X W X H then you would multiply 500 times 15 and you get 7,500 cm.

Answer:

2557

Step-by-step explanation:

50x50+100-43

2500+100-43

2600-43

2557

Answer:

(2x + 40) - 2

(x ÷ 5) - 14

(x ÷ 2) - 18

(x + 3) + 9

3x + 12

(x ÷ 2 + 3) + 12

4 * 2x or 8x

(x ÷ 3) - 5

3x + 5

6x - 13

We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal. If we subtract the same number from both sides of an equation, both sides will remain equal. or

A two-step equation is an algebraic equation that takes you two steps to solve. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.

Answer:

1) (2x + 40) - 2

2) (x ÷ 5) - 14

3) (x ÷ 2) - 18

4) (x + 3) + 9

5) 3x + 12

6) (x ÷ 2 + 3) + 12

7) 4 * 2x or 8x

8) (x ÷ 3) - 5

9) 3x + 5

10) 6x - 13

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

2*3=6

6/12=1/2

Answer:

[tex]\frac{1}{2}[/tex]--> 1/2

Step-by-step explanation:

3x2=6. half of 12 is 6 and so you would make it 6/12 or aka 1/2