Do the following conditions make a unique triangle, more than one triangle or no triangle possible

Answer:

Amount after 9 year = 8,310 (Approx.)

Step-by-step explanation:

Given:

Amount invested = 12,000

Rate on decline = 4% per year = 0.04

Number of year = 9

Find:

Amount after 9 year

Computation:

A = P[1+r]ⁿ

A = 12,000[1-0.04]⁹

A = 12,000[0.96]⁹

A = 12,000[0.6925]

Amount after 9 year = 8,310 (Approx.)

Answer:

∠ B = 50°

Step-by-step explanation:

complementary angles add to 90° , then

∠ A + ∠ B = 90° , that is

40° + ∠ B = 90° ( subtract 40° from both sides )

∠ B = 50°

Answer:

0.9192 = 91.92% probability that the weight will be less than 4473 grams.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean weight of 3950 grams and a standard deviation of 374 grams.

This means that [tex]\mu = 3950, \sigma = 374[/tex]

Find the probability that the weight will be less than 4473 grams.

This is the pvalue of Z when X = 4473. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{4473 - 3950}{374}[/tex]

[tex]Z = 1.4[/tex]

[tex]Z = 1.4[/tex] has a pvalue of 0.9192

0.9192 = 91.92% probability that the weight will be less than 4473 grams.

The solution of the equation 8b = 56 is 7. And the solution of Harmony is 448. So, Harmony is incorrect.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given below.

8b = 56

Simplify the equation, then we have

8b = 56

b = 56 / 8

b = 7

The solution of the equation 8b = 56 is 7. And the solution of Harmony is 448. So, Harmony is incorrect.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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Answer:

1.

1 1/15

2.

1 7/15

3.

I think that the sister rode farther by 2/5

reason:

(the sister) 2/3 mile+4/5 mile=1 7/15

(you) 2/3 mile+2/5=1 1/15

1 7/15-1 1/15= 2/5(according to a website I used)

Answer:

When used as a diacritic mark, the term dot is usually reserved for the interpunct, or to the glyphs 'combining dot above' and 'combining dot below' which may be combined with some letters of the extended Latin alphabets in use in Central European languages and Vietnamese.

Step-by-step explanation:

C - 29 Inch as if you go up of 7.

[tex]n + 4 = 12[/tex]

Subtract sides minus 4

[tex]n + 4 - 4 = 12 - 4[/tex]

[tex]n = 8[/tex]

Answer:

yes ‐1/16 is rational number

solution ‐1/16=‐16

and every integer is a rational number

Answer:

here you go! i couldnt write it but Goodluck! :)

Step-by-step explanation:

Answer:

216

Step-by-step explanation:

6*6*6= 216

btw i am not using the formula for volume. 6*6 because you need the area of one side. then multiply that by 6 because there are 6 sides of a cube so 6*6*6=216

Answer: I think it’s 1/8 = 7/56

The value of an equivalent fraction is,

⇒ 1/8 = 7/56

We have to given that,

A fraction to solve,

⇒ 1/8 = x/56

Now, We can simplify as,

⇒ 1/8 = x/56

Cross multiplication,

⇒ 56 = 8x

⇒ x = 56/8

⇒ x = 7

Therefore, The value of an equivalent fraction is,

⇒ 1/8 = 7/56

Learn more about the fraction visit:

https://brainly.com/question/5454147

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Answer:

x=28

Step-by-step explanation:

i hope my answer is correct. it's been a while since i've done this.

Answer:1 2 DNE

Step-by-step explanation:

Answer:

1

2

DNE

Step-by-step explanation:

Answer:

0.2

Step-by-step explanation:

14/10÷x=7

14/10=7x

1.4±7=x

x=0.2

Answer:

1

Step-by-step explanation:

ordered pairs with both positive numbers are in Q1

Answer:

That would be the first quadrant, also known as the I quadrant and the top right quadrant.

Answer:

ok I would give answer that is 85.5mi^2

Answer: The length of each side of the tiles is 7.2 in

Step-by-step explanation:

Answer:

The value of B is 0 because going down from the middle is all negative and going up from point B is all positive so the answer is 0 degrees

Step-by-step explanation:

Answer:

in linear pair

90+a+24=180

a=180-90-24=66°

B°=90+a=90+66=156°

the value of B°=156°

Answer:

(6y+1)(6y-1)

Step-by-step explanation:

Difference of square (You may want to search it up if you want to learn more)

Answer:

two angles on the same position on different lines :)

Answer:

For shape B to make shape A all numbers in shape B would have to be divided by 1.5

Step-by-step explanation:

Answer:

(10-4)*4+8

=6*4+8

=24+8

=32

Answer:

32

Step-by-step explanation:

Following PEMDAS we first do the stuff in the parentheses and we get [tex]6x4+8[/tex]

Then since there are no exponents, we go straight to doing the multiplication and division, which leaves us with [tex]24+8[/tex].

Finally when we add the last 2 terms together we get our answer of 32.

Hope this helps!

Answer:

5x-8=90

Step-by-step explanation:

Thale’s Theorem

5x-8=90

Answer:

10

Step-by-step explanation:

(9 + 6) + 4 = (5 + x) + 4

15 + 4 = 5 + x + 4

19 = x + 9

19 - 9 = x

10 = x

Answer:

0.2

Step-by-step explanation:

[tex]\frac{6}{30} =\frac{x}{1} \\\\30x=6\\\\x=\frac{6}{30} \\\\x=\frac{1}{5}[/tex]

1/5 = 0.2

Answer:

the temperature increase is 0.2 degrees per minute

Step-by-step explanation:

Answer:

$6,911.92

Step-by-step explanation:

Given the following

Amount A = $12,100

Time t = 8yrs

Rate r = 7.25%

Required

Principal P

Using the compound interest formula;

A = P(1+r)^n

12,100 = P(1+0.0725)^8

12,100 = P(1.0725)^8

12100 = 1.7506P

P = 12,100/1.7506

P = 6,911.92

Hence the amount invested would have been $6,911.92