A 3000Lb Car traveling uphill has a grade resistance of -110 pounds. Use a tangent function to estimate the angle of the grade. Give your answer to the nearest tenth of a degree.

Answer:

No solution.

Step-by-step explanation:

2x + y = 7

-2x - y = 6

From the first equation:

y = 7 - 2x

Plug this into the second equation:

-2x - (7 - 2x) = 6

-2x  + 2x = 6 + 7

0 = 13

this doesn't make sense so theer is:

No solution.

Answer:

The range is 59

Answer:  x = -3/2

Step-by-step explanation:

Answer: B

Step-by-step explanation: A=πr2

The formula for calculating the area of a circle is A = π​r​2 where pi (π) equals 3.14 and the radius (​r​) is half the diameter.

You must times 5 by 5 because of exponents and then times it by pie

5 times 5 = 25

25 times pie is 78.5

The value of To from the t table will be 2.131

The following can be deduced from the information:

P(-t0 < t < t0) = 0.95

2*P(t < t0) - 1 = 0.95

P(t < t0) = 0.975

df = 15

From t-table (column 1-0.975 = 0.025) in the row 15. Therefore, t0 = 2.131.

In conclusion, the answer is 2.131.

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Answer:

8:6

32:24

20:15

hope this helps

mark 5 stars and brainlliest please.

Step-by-step explanation:

Answer:

The 3 ratios that are equivalent to 4:3 is 8:6,20:15,and 32:24

Step-by-step explanation:

4:3

4 x 2 = 8

3 x 2 = 6 =

8:6

4 x 5 = 20

3 x 5 = 15 =

20:15

4 x 8 = 32

3 x 8 = 24 =

32:24

Answer:

The answer is below

Step-by-step explanation:

Speed is the ratio of distance covered to the time taken. Speed is given by the formula:

speed = distance / time.

Let us assume the spider walking speed is x and its running speed is y.

If the spider walks for 10 seconds and runs for 9  seconds, she travels 85m. distance = speed * time, hence:

Total distance = distance covered walking + distance covered running

10x + 9y = 85     (1)

Also if she walks for 30 seconds and  runs for 2 seconds, she travels 130m. Hence:

30x + 2y = 130   (2)

Solving equation 1 and 2 simultaneously by mutiplying equation 1 by 3 and subtracting equation 2 from the result:

25y = 125

y =5 m/s

Put  y = 5 in eqn. 2

30x + 2(5) = 130

30x = 120

x = 4 m/s

The spider walks at 4 m/s and runs at 5 m/s

Answer: 400

Step-by-step explanation:

Answer:

1 3/7 hours    exact answer

1.43 hours    decimal approximation

Step-by-step explanation:

1 brake/2hrs + 1brake/5hrs = x

to find how much they can do in the same amount of time

use common denominator of 10 hours

5brakes/10hrs + 2brakes/10 hrs = 7brakes/10 hrs

10 hrs for 7brakes = 10/7 hours for 1 brakes

1 3/7 hours to do the brakes working together

or as a decimal  about 1.4285714286 hours

Answer:

   \((\frac{8^4}{10^4} )^{-\frac{1}{4} }\)  = \(\frac{5}{4}\)

Step-by-step explanation:

Explanation

Given  

       \((\frac{8^4}{10^4} )^{-\frac{1}{4} }\)

By using algebra formulas

  \((\frac{a}{b} )^{m} = \frac{a^m}{b^n}\)

\((\frac{8^4}{10^4} )^{-\frac{1}{4} } = \frac{(8^{4})^{\frac{-1}{4} } }{(10^{4} )^{\frac{-1}{4} } }\)

\((a^{m} )^{n} = a^{mn}\)

\(\frac{(8^{4})^{\frac{-1}{4} } }{(10^{4} )^{\frac{-1}{4} } } = \frac{8^{4X\frac{-1}{4} } }{10^{4 X\frac{-1}{4} } }\)

          = \(\frac{8^{-1} }{10^{-1} }\)

           \(= \frac{10}{8} \\= \frac{5}{4}\)

Final answer:-

 \((\frac{8^4}{10^4} )^{-\frac{1}{4} }\)  = \(\frac{5}{4}\)

The  total surface area of this triangular prism is 976 square cm.

Here, we have,

Total surface area of a figure

The total surface area is the sum of the area of the faces of a figure.

The given shape is made up of three rectangles and 2 triangles.

Surface area = 2[25*10] + (14 * 10) + (24 * 14)

Surface area = 2(250) + 140 + 336

Surface area = 976 square cm

Hence the total surface area of this triangular prism is 976 square cm

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Answer:

19

Step-by-step explanation:

First, You want to add all of the data below and you get 133 and with that data you divide 133 by 7 because you have 7 values. I hope i'm right and have a great day :)

Answer: A

In looking for solutions in the graph of y=f(x) where f(x) = 0, you're looking for the x-intercepts.  The catch is that you only want the x-value of the intercepts.

The intercepts are (-4,0) and (7,0), so the solutions are -4 and 7.

Answer:

A

Step-by-step explanation:

The two equations are similar, because if you multiply the first one by 3 it will be equal to the second one, so when that happens we say that there are infinite solutions.

Answer:

To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.

Given:

Length = 36 inches

Width = 24 inches

Height = 18 inches

Converting the dimensions to feet:

Length = 36 inches / 12 inches/foot = 3 feet

Width = 24 inches / 12 inches/foot = 2 feet

Height = 18 inches / 12 inches/foot = 1.5 feet

Now, we can calculate the volume of the box by multiplying the length, width, and height:

Volume = Length * Width * Height

Volume = 3 feet * 2 feet * 1.5 feet

Volume = 9 cubic feet

Therefore, the shipping box can hold 9 cubic feet.

Step-by-step explanation:

First convert the units because it's asking for the cubic feet but they give us the measurements in inches.

To convert inches to feet we divide the number by 12.

36 ÷  12 = 3

24 ÷  12 = 2

18 ÷ 12 = 1.5

Now to find the volume, we multiply it all together.

3 × 2 × 1.5 = 9

It can hold 9 cubic feet.

Hope this helped!

Triangle ABC and ADE are similar triangles

Similar triangles have the same corresponding angle measures and proportional side lengths.

This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.

It has been shown that angles in ABC and ADE are equal.

To show that the ratio of corresponding sides are equal

6/12 = 8/16 = 10/20

The ratios all give a value of 1/2

Therefore we can say that the triangles ABC and ADE are similar.

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Answer:

A = (1/4)√(4 + 11 + 14)√(-4 + 11 + 14)√(4 - 11 + 14)√(4 + 11 - 14)

A = (1/4)√29√21√7

= about 16.32 mm²

Answer:

  16.27 mm²  (see comment)

Step-by-step explanation:

You want the area of a triangle with side lengths 11 mm and 14 mm, and the angle between them 12.2°.

The area is given by the formula ...

  A = 1/2ab·sin(C)

  A = 1/2(11 mm)(14 mm)·sin(12.2°) ≈ 16.27 mm²

The area of the triangle is about 16.27 square millimeters.

__

Additional comment

If you use Heron's formula for the area from the three side lengths, you find it is about 16.32 mm². That's the trouble with over-specified geometrical figures. The result you get depends on which of the given values you use. (To get the area accurate to 4 sf, the angle needs to be specified to 4 sf: 12.24°.)

  s = (4 +11 +14)/2 = 14.5

  A = √(s(s -a)(s -b)(s -c))

  A = √(14.5(14.5 -4)(14.5 -11)(14.5 -14)) = √(14.5·10.5·3.5·0.5) = √266.4375

  A ≈ 16.32

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Step-by-step explanation:

hey there....I only knew the last question

Answer:

a^4+3a^2-3b^2

Step-by-step explanation:

\( \hookrightarrow \: (2 {a}^{2} - b)(3 {a}^{2} + 3b) \\ \hookrightarrow \:2 {a}^{2} (3 {a}^{2} + 3b) - b(3 {a}^{2} + 3b) \\ \hookrightarrow \:6 {a}^{4} + 6 {a}^{2} b - 3 {a}^{2} b - 3 {b}^{2} \\ \hookrightarrow \:{a}^{4} + 3 {a}^{2} b- 3 {b}^{2}\)

The measures of the angles 1 to 7 are ∠1 = ∠2 = 35 degrees, ∠3 = ∠5 = 55 degrees, ∠4 = ∠6 = 43 degrees, and ∠7 = 47 degrees

Given that

BCD = 98 degrees

ADE = 47 degrees

By the bisection of congruent angles, we have

∠7 = 47 degrees

The sum of angles in a triangle is 180 degrees

So, we have

∠1 = ∠2 = 180 - 98 - 47 degrees

∠1 = ∠2 = 35 degrees

The sum of angles in a triangle is 180 degrees

So, we have

∠3 = 180 - 35 - 90 degrees

∠3 = 55 degrees

Similarly, we have

∠5 = 180 - 35 - 90 degrees

∠5 = 55 degrees

Next, we have

∠6 = 180 - 47 - 90 degrees

∠6 = 43 degrees

Finally, we have

∠4 = ∠6 = 43 degrees

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First rearrange and solve for sqrt of 25(which is 5)

ƒ(x)= -x^2-5

range: y\(\le\)5

domain: x x=can be anything because all values are defined

Multiplying 8 by 2 equals 16 , so multiply the top number (5) by 2:

5 x 2 = 10

5/8 = 10/16

The answer is 10

By solving a system of equations, we will see that the scientist needs to use:

First, we need to define the variables, we will use:

We know that the scientist needs 5.4 liters, then we will have that:

x + y = 5.4

We also know that the end concentration for these 5.4 liters must be 28%, then the concentration in the left side must be the same as the one in the right side, this gives the equation:

0.12*x + 0.30*y = 0.28*(5.4)

0.12*x + 0.30*y = 1.512

Then the system of equations is:

x + y = 5.4

0.12*x + 0.30*y = 1.512

To solve it, we first need to isolate one of the variables in one of the equations, I will isolate x in the first one.

x = 5.4 - y

Now we can replace this in the other equation to get:

0.12*(5.4 - y) + 0.30*y = 1.512

0.81 - 0.12*y + 0.30*y = 1.512

(0.30 - 0.12)*y = 1.512 - 0.81

0.18*y = 0.712

y = (0.712)/0.18 = 3.956

And to find the value of x, we use:

x = 5.4 - y = 5.4 - 3.956 = 1.444

So the scientist needs to use:

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Answer:

108 plzz mark me brainliest

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

112.5*96/100=108

Answer:

When an obect has rotational symmetry, that means the object will look the same after a certain amount of rotating. When an object has reflection symmetry, it means the object mirrors itself at the midpoint.

Step-by-step explanation:

Answer:x=35

Step-by-step explanation:

Answer:

3.6?

Step-by-step explanation:

I didn't understand stand but I just divided 9 and 2.5 and got 3.6

Answer:

Step-by-step explanation:

Number of 4 generated is 7 and number of 7 generated is 5.

Total of 7 + 5 = 12 outcomes out of 50:

The experimental probability of the computer generating a 4 or a 7 is D. 24%.

Experimental probability calculates the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event

\(P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}\)

where P_e(E) is denoting the experimental probability of occurrence of E.

A computer generates 50 integers from 1 to 8 at random. The results are recorded in this table.

Outcome 1 2 3 4 5 6 7 8

Number of times outcome occurred

5 8 9 7 4 6 5 6

The Total of 7 + 5 = 12 outcomes out of 50:

The experimental probability of the computer generating a 4 or a 7

P(4 or 7) = 12/50

= 24/100

= 24%

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