The beginning balance in a person's checking account was -10 dollars. After writing three checks for 8, 10 and 17 dollars and making a deposit of 90 dollars, what was the new balance in the account?

Answer:

There is no answer

Because absolute value causes a positive answer and it is written here -13 !!!

it's impossible

Answer:

a = 13.24 m

Step-by-step explanation:

Finding ∠A :

Applying the Law of Sines :

Answer:

  13.2 m

Step-by-step explanation:

The Law of Sines can be used to solve a triangle when angles and one side are known.

__

The angles of a triangle total 180°, so the missing angle A is ...

  ∠A = 180° -48° -54° = 78°

The Law of Sines tells us ...

  a/sin(A) = b/sin(B)

  a/sin(78°) = (10.0 m)/sin(48°)

__

Multiplying by sin(78°), we find ...

  a = sin(78°)/sin(48°)×(10.0 m) ≈ 0.978148/0.743145×(10.0 m)

  a = 13.1623 m

The length of side 'a' is approximately 13.2 meters.

Since the isotope is initially 154 mg, the amount of radioactive isotope left after 64 hours is 9.625 mg

To answer the question, we need to know what radioactive decay is.

Radioactive decay is the spontaneous disintegration of a larger atom to a smaller one

Half-life of a radioactive isotope is the time it takes for the isotope to decay to half its initial value.

The amount left after n half lives is N = (1/2)ⁿN₀ where N₀ = initial mass of isotope.

Given that the half-life of the isotope is 16 hours, and we desire the amount present after 64 hours.

The number of half-lives after 64 hours is n = time/half-life

= 64 h/16 h

= 4

Since we have 154 mg of isotope present, N₀ = 154 mg

Given that

Substituting the values of the variables into N, we have

N = (1/2)ⁿN₀

N = (1/2)⁴ × 154 mg

N = 154 mg/16

N = 9.625 mg

So, the amount of radioactive isotope left after 64 hours is 9.625 mg

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Answer:

  H  x/10 = 18/8

Step-by-step explanation:

The fact that DE is parallel to CB means DE divides AC in the same proportion that it divides AB. This fact can be used to write a proportion to find x.

__

  [tex]\dfrac{\overline{DC}}{\overline{AD}}=\dfrac{\overline{EB}}{\overline{AE}}\\\\\boxed{\dfrac{x}{10}=\dfrac{18}{8}}\qquad\text{matches choice }\textbf{H}[/tex]

_____

Additional comment

The values used in the other answer ratios are not "corresponding."

Answer:

H

Step-by-step explanation:

∠ADE is a scaled version of ∠ ABC.

So,

18:8

and

10:x

Ratios can be expressed as fractions:

[tex]\frac{8}{18}[/tex] and [tex]\frac{x}{10}[/tex].

Since the scale factor is the same,8/18 has to be the same as 10/x.

Therefore,[tex]\frac{8}{18}[/tex]=[tex]\frac{x}{10}[/tex].

Hope this helps!!!

Please mark me as brainliest!!!

This took a lot of effort.

Answer:

C & D

Step-by-step explanation:

x^2+6x+7=0

Delta=b^2-4ac=6^2-(4*1*7)=36-28=8

X=((-b)+-(delta)^(1/2))/2

X=((-6)+-(2^(3/2)))/2

[tex]x1 = - 3 - \sqrt{2} \\ x2 = - 3 + \sqrt{2} [/tex]

Answer:

23:25

Step-by-step explanation:

Answer:

23/25 23 to 25   23:25

Step-by-step explanation:

Two boys  23 girls=25 children

girls=23

23/25

Answer:

x=5.11

Step-by-step explanation:

Hi there!

We are given a right triangle (notice the right angle), with one of the angles being equal to 64 degrees

We also know one of the sides is 42, another is x, and the other one is not marked

We want to find the value of x, which we can do using trigonometry

The 3 main trigonometric functions are:
Sine, which is opposite/hypotenuse

Cosine, which is adjacent/hypotenuse

Tangent, which is opposite/adjacent

First, let's find which side is which

The side opposite the 64 degree angle is the opposite; this side is the side marked as 42

The adjacent side would be the other leg (one of the sides creating the right angle); in this case, that would be the side marked as x

The hypotenuse in this case would be the side that hasn't been marked yet

Since we are given values for both the opposite and the adjacent, let's use tangent to find x

Since 64° was the angle we referenced to determine which side was which, we will also make the ratio with this angle.

Therefore, the ratio will be:

[tex]tan(64)=\frac{42}{x}[/tex]

Now we need to solve for x; start by multiplying both sides by x

x * tan(64) = 12

Now divide both sides by tan(64)

x = [tex]\frac{12}{tan(64)}[/tex]

Plug [tex]\frac{12}{tan(64)}[/tex] into your calculator; make sure the calculator is on degree, not radian mode

[tex]\frac{12}{tan(64)}[/tex] ≈ 5.11 (rounded to the nearest hundreth)

So x is about 5.11

Hope this helps!

Topic: trigonometry in right triangles

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Answer: 88 units²

Step-by-step explanation: Alright, this ones is easy. Ok, so we know we have a right triangle so, therefore, we can find the missing sides required using trigoneomeric functions. If you dont know what these are here, take a look:

sinФ= opposite/hypotenuese

cosФ= adjancent over hypotneuse

tanФ= opposite/adjecent.

angle is 34

In this case the opp (opposite would be the base of the trinagle, the adj would be 16 units, and the hyportneuse would be "we dont know"

From here, we can set up this equation to find the area->

Now we know the base and height of the triangle, so using the formula 1/2*B*H for the area we get 88 units². Thank you!

The Area of Triangle is 86.272 unit².

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

Perpendicular = 16

Using Trigonometry

tan 34 = P / B

0.674 = 16/ B

B= 10.784

So, Area of Triangle = 1/2 x b x h

                                 = 1/2 x 16 x 10.784

                                 = 86.272 unit²

Hence, the Area of Triangle is 86.272 unit².

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Step-by-step explanation:

1. y <= 0

2. all real numbers

3. y >= 0

4. y >= 2

5. y >= -2

6. y <= 2

Answer:

1) B. (6,-3)

2) D. (-8,-2)

Answer:

Down below

Step-by-step explanation:

First one:  Sixth root of B.  Second one:  Fourth root of X to the Z power.  Third one:  Square root of nine to the third power.  Fourth one:  M root of M to the P power.  Fifth one:  Square root of J to the two plus x power.

Sorry if this is wrong.  I'm almost positive this is correct.  The only one I'm not sure about is the third one and maybe the last one.  Since there's no two there I'm not sure if it would still be called the square root.

Answer:

1230.9

step by step explanation:

Answer:

A, D, E

Step-by-step explanation:

AREA OF SQUARE

[tex](x - 1)(x - 1) = x^2 - 2x + 1[/tex]

AREA OF RECTANGLE

[tex]x(x - 2) = x^2 - 2x[/tex]

Using this we know that the difference is 1, so B is incorrect. We also know that D and E are correct because we solved for the area. C is also wrong, by the same reasoning. Now, all we need to see is if A is right. Plug in x = 2.

[tex](2)^2 - 2(2) + 1 \\= 4 - 4 + 1 \\= 1[/tex]

Because the area of the square is a square unit larger than the rectangle, the rectangle would have an area of 0, which is impossible, so A is correct.

Answer:

400w + 10x

I have no idea what I'm doing

Answer:

864 ft^2

Step-by-step explanation:

Surface area equation is the same as the one used in the other problem; S=(1/2)lP + B

one side is 20 x 14 = 280

another side is 12x14 = 168

another side is 16x14 = 224

the triangle bases are A=(1/2)bh

(1/2)12 x 16 = 96

2(96) = 192

Add all sides together 192 + 224 + 280 + 168 = 864

The equation that can be used to determine the distance from school to his aunt's house is x = 29 miles / 10.What equation can be used to represent the total distance travelled? Total miles rode = 10(miles ridden to school) + (10 x miles rode to his aunt's house from school) 44 miles = (10 x 1.5) + (10 × x)44 miles = 15 miles +  10x What equation that can be used to determine distance rode from school to her aunt's house? Given this equation : 44 miles = 15 miles +  10x, take the following steps: Combine similar terms: 44 miles - 15 miles = 10x 29 miles = 10x Divide both sides by 10 x = 29 miles / 10 

The total amount of debt is $119,340.

The total debt to total assets ratio is a financial ratio. It is the ratio of total debt to total asset. It also known as the total debt ratio

Total debt ratio = total debt / total asset

total debt = value of the ratio x value of the assets

0.51 x $234,000 = $119,340

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Answer:

Your net pay is

[tex]$1410[/tex]

Step-by-step explanation:

All we have to do is add the deductions and then subtract them from what your earn.

[tex]1600 - (110 + 66 + 14) = \\ 1600 - 190 = 1410[/tex]

We have to double 5 and add 1 to get the same result.

5 + 5 + 1 = 11

We can also double 6 and subtract 1 to get the same result.

6 + 6 - 1 = 11

Hope this will helpful.

Answer:

They can use counters or their fingers, but they can also use doubles facts. If they know 5 + 5 = 10, they know that the sum of 5 + 6 will be one more. Thus, 5 + 6 = 11. Practice solving other doubles-plus-one facts together, such as 3 + 4, 7 + 8, and 9 + 8.

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

        what is the third angle of a triangle with angles of 45 and 45?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]

      Angles in a triangle always add up to [tex]\bold{180\textdegree}[/tex].

❖ Here we are given 2 angles:-

45 and 45, which add up to 90.

❖  Subtract 90 from 180:-

90

✶ So the angles are 45, 45 and 90.

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

Answer:

90 degrees.

Step-by-step explanation:

As there are 180 degrees in a triangle

third angle = 180 - 45 - 45 = 90 degrees.

Answer: 15

Step-by-step explanation:

Pythagorean theorem: c^2 = a^2 + b^2 where c is hypotenuse, a and b are legs.



In this problem:

a = 20

c = 25

b - ?

b^2 = c^2 - a^2

b^2 = 25^2 - 20^2

b^2 = 625 - 400

b^2 = 225

b = sqrt(225)

b = 15

If the measure of the angle is 2π/3 the correct option will be tan∅=-√3.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.

It is given in the question that:-

The measure of the angle is = [tex]\dfrac{2\pi}{3}[/tex]

We can also write the angle as = [tex]\dfrac{2\times 180}{3}=120[/tex]

Now from the options, the only value which satisfies this angle is tan∅=-√3.

 [tex]tan\dfrac{2\pi}{3}=tan \dfrac{2\times 180}{3}=tan(120)=-\sqrt{3}[/tex]

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Answer:

267.95 cubic yards

Explanation:

volume of sphere: 4/3 π(radius)³

Here given:

Volume:

insert values

simplify

final answer

Answer:AA , BB , and CC are parallel to MN.

Step-by-step explanation:

Answer:  Around 10 days.  The real answer is 10 2/3.

Answer:

10 and 2-third days.

Convert mixed number to improper fraction

Initial equation

[tex]\frac{176}{9} / \frac{11}{6}[/tex]

Next, multiply the numerators by the numerators, and do the same for the denominators. Flip the second number to 6/11

[tex]\frac{176 * 6}{9 * 11}[/tex]

[tex]= \frac{1056}{99}[/tex]

Simplify.

[tex]\frac{1056}{99} -- > 10\frac{2}{3}[/tex]

Answer: 9.3  

I calculated the area of the square, then I calculated the area of the circle.  Then I subtracted the two.

Answer:

5.3

Step-by-step explanation:

A square has equal sides

LXW=A

5x5= 25

diameter of the circle is 5 ft

D/2=R 5/2= 2.5

Area of a circle is [tex]\pi r^2[/tex]  (Pi=3.14)

[tex]3.14 X (2.5)^2[/tex]= 3.14 x 6.25=  19.625.

Area of yellow region

Area of square - Area of circle.

25-19.625 = 5.375 rounded to nearest 10th is 5.3

Answer:

$ 53,333.33

Step-by-step explanation:

The formula for simple interest is I = PRT. So, we are trying to solve for P(original investment). To do this, we get the formula P = I / RT. This is the formula we will be using.

Work:

First, converting R percent to r a decimalr = R/100 = 5%/100 = 0.05 per year,putting time into years for simplicity,18 months ÷ 12 months/year = 1.5 years,then, solving our equation

P = 4000 / ( 0.05 × 1.5 ) = 53333.333333333

P = $ 53,333.33

Answer:

n ≤ 4

Step-by-step explanation:

"The difference between a number and seven is less than or equal to -3" can be written as n-7 ≤ -3

n-7 ≤ -3

Add 7 to both sides

n ≤ 4

Answer is n ≤ 4

See picture attached for the math

Answer:

800 dollars

Step-by-step explanation:

The amount spent on equipment is 89% of the total

712÷89 = 8 x 100 = $800