In which quadrant is the point (-5, -4) in?

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Answers:

[tex]x = 5\sqrt{3}[/tex]

[tex]y = 10[/tex]

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Explanation:

This is a 30-60-90 triangle. The short leg 5 is opposite the smallest angle 30 degrees.

The long leg is sqrt(3) times that of the short leg, which explains why x = 5*sqrt(3).

The hypotenuse is twice as long compared the short leg, so y = 2*5 = 10.

You could use trig ratios and the unit circle as another way to find x and y.

Answer:

20023002

Step-by-step explanation:

becease i nee d answers please ignore

Answer:

x=√30

Step-by-step explanation:

Because the triangle is equilateral and is cut by the bisector, both triangles are 30-60-90 triangles. Therefore, to find side x, you multiply the short side by √3. This means that side x is √10*√3=√30 units.

Lines parallel to each others only occur when two slopes of equations are same. The definition of parallel lines is:

[tex] \large \boxed{m_1 = m_2}[/tex]

We are given the equation of a line which is x = -2. For x = a, the equation forms a verical line and has an undefined slope. These below are basic that you may need to learn when learning about the line graph:

Back to the question. We want to find the equation of a line that is parallel to the line x = -2 and passes through (5,4) point. Recall the definition of parallel line that both slopes of equations must equal. Since x = a for any a-values would give an undefined slope. That means our parallel would be x = b.

Because the line passes through (5,4) - for any a-values from x = a would give out the set of all real numbers for range. Therefore the equation of a line is x = 5.

Answer

I hope this helps! If you have any doubts or questions, don't hestitate to ask in comment! Good luck on your assignment and have a great day!

Answer:

Mistakes:

Used addition

Didn't flip inequality form

Corrections:

Divide each term

Instead of a positive value it should be negative

flip the direction of the inequality form

Step-by-step explanation:

[tex] - 9x \div - 9 \leqslant 90 \div – 9 [/tex]

cancel the common factor

[tex] \times \leqslant 90 \div - 9[/tex]

Divide 90 by – 9

Answer is:

[tex] \times \leqslant - 10[/tex]

Hope this helps!

Answer:

642 miles

Step-by-step explanation:

Distance of Midville from their home = 214 miles

Walesburg is 3 times as far.

How far is Walesburg from their home?

Distance of Walesburg from their home = 3 × Distance of Midville from their home

= 3 × 214 miles

= 642 miles

Distance of Walesburg from their home = 642 miles

Answer:

24radios

Step-by-step explanation:

Given that the dollar cost of producing x ratios is c(x)=800+40x-0.2x^2. Find

Average cost is expressed as dC(x)/dx

dC(x)/dx = 40-0.4x

C'(x) = 40 - 0.4x

If x = 40

C'(40) = 40 - 0.4(40)

C'(40) = 40 - 16

C'(40) = 24

Hence the average cost per radio of producing the first 40 radios is 24radios

Use calculator for the solving:

12 / 24 - 3/216 +5600 -5554 = ?

Answer: 46.4861111111

Hopefully it's correct :)

Answer:

1200 Containers

Step-by-step explanation:

According To The Question, We Have

By All this Data We Found That, Basically A Big Size Cuboid is Formed Here.

Now, For The Total Numbers Of Containers = 10×15×8 = 1200 Containers

Answer:

b=57° (vertically opposite angles)

Step-by-step explanation:

57°+a+b+c=360° (angles around a point)

57°+57°+a+c=360°

114°+a+c=360°

a+c=360°-114°=246°

a=c (vertically opposite angles)

therefore 2a=246°

a=123°

b=123°

Answer:

16.7 miles

Step-by-step explanation:

6.7+10=16.7

The two of them ran 16.7 miles.

Answer:

h = 9.6 ft

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

h² + 7.2² = 12² ( h is the height of the building )

h² + 51.84 = 144 ( subtract 51.84 from both sides )

h² = 92.16 ( take the square root of both sides )

h = [tex]\sqrt{92.16}[/tex] = 9.6 ft

Answer:

1.48 m

Step-by-step explanation:

mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Then the sum for the 14 boys is

[tex]\frac{sum}{14}[/tex] = 1.56 ( multiply both sides by 14 )

sum = 21.84 m

The sum for the class of 32 is

[tex]\frac{sum}{32}[/tex] = 1.515 ( multiply both sides by 32 )

sum = 48.48 m

Thus the sum for the 18 girls is

sum = 48.48 - 21.84 = 26.64 m

Then mean height of girls is

mean = [tex]\frac{26.64}{18}[/tex] = 1.48 m

Answer:

b. 3(8.35) ^x

Step-by-step explanation:

3(1.7) ^4x = 3 • [(1.7)⁴]^x

= 3 (8.35) ^x

Answer:

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.

Hope that answered your question.

Answer:

Uuy

Step-by-step explanation:

Answer:

Earth's Rotation

Earth spins around its axis, just as a top spins around its spindle. This spinning movement is called Earth's rotation. At the same time that the Earth spins on its axis, it also orbits, or revolves around the Sun. This movement is called revolution.

Answer:

30 cubic feet

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Height of cone (h) = 10 feet

Base surface area = π[tex]r^{2}[/tex] =  9 sq. feet

So we can calculate the volume of cone by using following formula,

volume of cone = (1/3)π[tex]r^{2}[/tex]h

By putting the value in the formula, we get

Volume of cone = (1/3) 9 × 10

= 3 × 10

= 30 cubic feet

Answer:

Step-by-step explanation:

[tex]Equation \ of \ a \ line, (y-y_1)=slope(x-x_1)[/tex]

[tex](x_1, y_1) = (2,3)[/tex]

                                [tex]y-3=\frac{1}{2}(x-2)\\\\y -3= \frac{1}{2}x-1\\\\y = \frac{1}{2}x-1+3\\\\y = \frac{1}{2}x+2[/tex]

Answer:

36 green apples

Step-by-step explanation:

Number of red apples = percentage of red apples x total number of apples in the box

percentage of red apples = 100 - 40 = 60%

0.6  x 60 = 36

Answer:

D. y=70x

Step-by-step explanation:

The cheetah was clocked running 70 miles per hour.

i.e. in 1 hour cheetah covered 70 miles

in 2 hours cheetah covered 140 miles

in 3 hours cheetah covered 210 miles

in general, in n hour cheetah covered 70n miles

If y denote the distance covered

and x denotes the time cheetah runs

Then, y=70x

Hence, the equation which shows the relationship between the distance, y, and time, x, the cheetah runs is:

D  y=70x

Answer:

n ≤103

Step-by-step explanation:

The product of a number n and 1 is expressed as  n

Six less than the number is n - 6

If the result is no more than 97, then;

n - 6 ≤ 97

n ≤ 97 + 6

n ≤103

Hence the value of n is no more than 103

Answer:

Step-by-step explanation:

The formula for this particular problem is

[tex]x^2=2(2+16)[/tex] and

x² = 2(18) and

x² = 36 so

x = 6

Scale factor = (image)/(preimage)

[tex]AC=8\\\\A'C'=12[/tex]

So, the scale factor is [tex]\frac{12}{8}=\boxed{1.5}[/tex]

Answer:

Step-by-step explanation:

let angle p be x

x+27=56 degree (sum of two opposite interior angle is equal to the exterior angle formed)

x=56-27

x=29 degree

therefore p is 29 degree.

Answer:

Step-by-step explanation:

The roots of the quadratic equation below using the quadratic formula are option A. [-9 ± √105 ] / 6.

Given is a quadratic equation,

3x² + 9x - 2 = 0

Quadratic formula to find the roots of a general quadratic equation ax² + bx + c is,

x = [-b ± [tex]\sqrt{b^2-4ac}[/tex] ] / 2a

Here a = 3, b = 9 and c = -2.

Substituting the values,

x = [-9 ± [tex]\sqrt{9^2-(4)(3)(-2)}[/tex] ] / (2 × 3)

  = [-9 ± [tex]\sqrt{81+24}[/tex] ] / 6

  =  [-9 ± √105 ] / 6

So the roots are [-9 ± √105 ] / 6.

Learn more about Roots of Quadratic Equations here :

https://brainly.com/question/26926523

#SPJ7

Answer:

3 : 7 : 5

Step-by-step explanation:

Given

12 : 28 : 20 ← divide each part by 4 ( the LCM of 12, 28, 20 )

= 3 : 7 : 5