What two numbers multiply to 36 and add up to -20?

Answer:

  each of the 12 turns is 150°

Step-by-step explanation:

If we number the points of the star 1–12, in order for the star to be symmetrical, each point must connect to two points symmetrically located around the centerline.

That is, point 1 may connect to points {2, 12} or {3, 11} or {4, 10}, or {5, 9} or {6, 8} or {7, 7}. For each of these connections, the angle made at the point of the "star" is, respectively, 150°, 120°, 90°, 60°, 30° or 0°. For these angles, the figure obtained will be ...

  150° - dodecagon, a 12-sided figure

  120° - hexagon

  90° - square

  60° - equilateral triangle

  30° - 12-pointed star

  0° - straight line

The two 12-pointed figures are shown in the attachment.

__

We suspect the star you're interested in is the one with points that are 30°. In order to have that point angle, the spider must make a turn of 180° -30° = 150°.

The spider will make 12 turns of 150°, for a total of 1800°, for a total of 5 full turns of 360°.

Answer:

Move the spide by 100 units and then turn the spider by 150 degrees. Repeat until you complete the star.

Step-by-step explanation:

people above are correct! I'm just making the steps as clear as possible for those who need it :)

Answer:

1.5%

Step-by-step explanation:

To find Rate in Simple Interest:

R = 100 S.I / T × P

R = 100 × 90/10 × 600

R = 9/6

R = 1.5%

1.5% is the rate.

================================================

Explanation:

The arc measures of 60 and x average to the angle 70, which is the the angle formed between the intersecting chords

70 = (60+x)/2

70*2 = 60+x

140 = x+60

x+60 = 140

x = 140-60

x = 80

The full 360 degree circle has the arc measures of 60, 79, x = 80, and w, where we don't know w yet. But we can add the four pieces of the circle to get 360

60+79+x+w = 360

60+79+80+w = 360

w+219 = 360

w = 360-219

w = 141

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Or you could find angle z first

z+70 = 180

z = 180-70

z = 110

Then use the averaging technique done at the start of this problem

z = (79+w)/2

110 = (79+w)/2

2*110 = w+79

220 = w+79

w+79 = 220

w = 220-79

w = 141

Answer:

I have not J.H.S 3 , because the questions look like some J.H.S 3 ,so please I am very sorry that I can't help u in this questions . Thanks

Answer:

a) Area=9 units²

Perimeter=18 units

b) Area=28ft²

Perimeter=24ft

c) Area=120cm²

Perimeter=46cm

Step-by-step explanation:

a) Area=9 units²

Perimeter=18 units

b) Area=28ft² (7x4)

Perimeter=24ft (7+5+7+5)

c) Area=120cm² (15x8)

Perimeter=46cm (15+8+15+8)

Answer:

Step-by-step explanation:

If we have triangle of sides: a, b, c, and a < b < c (or b<a<c) then:

for triangle to exist:

                                  a + b > c

So:

if  a=11, b=16  then 11 + 16 > c     ⇒   c < 27

if a=11, c = 16 then  11 + b > 16    ⇒   b > 5

We don't know if the unknown side (x) is the longest or not, so it has to be greater than 5 and less than 27

5 < x < 27

Answer:

aa

Step-by-step explanation:

Answer:

r=1

Step-by-step explanation:

-5r+2r=-3r

-3r=-3

Divide by -3 on both sides

r=1

Answer:

The number is -30.

Step-by-step explanation:

Given that,

Eight plus the quotient of a number and 3 is −2 . We need to find the number.

So, putting given condition into mathematical expression. Let the number is x. So,

[tex]8+\dfrac{x}{3}=-2[/tex]

Subtracting  on both sides,

[tex]8+\dfrac{x}{3}-8=-2-8\\\\\dfrac{x}{3}=-10[/tex]

Now cross multiplying, we get

x = -30

So, the number is -30.

Answer:

done same as before put value and do process like simplify

Answer:

Steve got 32 points

Step-by-step explanation:

Take the total score and multiply by the percentage received

40 * 80%

Change to decimal form

40 * .80

32

Steve got 32 points

Answer:

p=50

Step-by-step explanation:

Subtract 30 from both sides and you have your answer

Answer: 50

Step-by-step explanation:

p + 30 = 80

subtract 30 from both sides to isolate the value of "p". subtracting 30 from positive 30 cancels that out. 80 minus 30 is 50. you are left with p = 50, so the value of p is 50.

Answer:

Option D. m<A = 43, m<B = 55, a = 20

Step-by-step explanation:

1. Determination of angle B.

Angle C = 82

Opposite C (c) = 29

Opposite B (b) = 24

Angle B =?

Using Sine rule, we can obtain the value of angle B as follow:

b/Sine B= c/Sine C

24/Sine B = 29/Sine 82

Cross multiply

29 × Sine B = 24 × Sine 82

Divide both side by 29

Sine B = (24 × Sine 82) /29

Sine B = 0.8195

Take the inverse of Sine.

B = Sine¯¹ (0.8195)

B = 55

2. Determination of angle A.

Angle C = 82

Angle B = 55

Angle A =?

The value of angle A can be obtained as follow:

A + B + C = 180 (sum of angle in a triangle)

A + 55 + 82 = 180

A + 137 = 180

Collect like terms

A = 180 – 137

A = 43

3. Determination of side a (Opposite A)

Angle C = 82

Opposite C (c) = 29

Angle A = 43

Opposite A (a) =?

The value 'a' can be obtained as by using sine rule as illustrated below:

a/Sine A = c/Sine C

a/Sine 43 = 29/Sine 82

Cross multiply

a × Sine 82 = 29 × Sine 43

Divide both side by Sine 82

a = (29 × Sine 43) /Sine 82

a = 20

Therefore,

m<A = 43, m<B = 55, a = 20

The geometric figures are drawn on the diagram are option A,B,D, and F.

One of the theorems of a circle states that the angles in the same segments or on the same chord are equal.

we know that

case a) ∠ABC

The geometric figure is not drawn in the diagram case is b) ∠BCE

The geometric figure is drawn in the diagram case is c) line segment CA

The geometric figure is drawn in the diagram case is d) Ray CA

The geometric figure is drawn in the diagram case is e) Circle C

The geometric figure is drawn in the diagram  case is f) Ray BE

The geometric figure is not drawn in the diagram case is g) LIne segment AE

Hence, The geometric figures are drawn on the diagram are option A,B,D, and F.

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Answer:

See below.

Step-by-step explanation:

The domain of a function is simply the span of x-values the graph will encompass.

And the range of a function is simply the span of y-values the graph will encompass.

Since the function is a quadratic, the domain is all real numbers. From the graph, the graph will continue to expand left and right. Therefore, the domain is all real numbers.

In interval notation, this is:

[tex](-\infty,\infty)[/tex]

And in set notation, this is:

[tex]\{x|x\in\mathbb{R}\}[/tex]

For the range, notice that the graph is going downwards. In other words, the graph has a maximum value. From the graph, we can see that this maximum value is at y=-4. The graph never reaches any value above -4. Therefore, our range is all numbers equal to or less than -4.

In interval notation, this is:

[tex](-\infty,-4][/tex]

We use brackets because we include the -4 in the solution set.

Also, note that we write the infinity first because the smallest number should be on the left. [-4, -∞) would not be correct.

And in set notation, this is:

[tex]\{y|y\in\mathbb{R},y\leq 4}\}[/tex]

Answer:

200 meters per minute

Step-by-step explanation:

12/60 since hr into minutes

0.2 x 1000 since km and meters

Answer

the answer is 254 cm 2

Step-by-step explanation:

The area of the circle will be 254 square cm. Then the correct option is C.

Let r be the diameter of the circle. Then the area of the circle will be

A = (π / 4)d² square units

The radius of the circle is 18 cm.

Then the area of the circle will be

A = (π / 4) x (18)²

A = 254.46 ≈ 254 square cm

Then the correct option is C.

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Answer:

The correct option is x = 5

Please find the attached graph of the function

Step-by-step explanation:

The given functions are;

1) f(x) = -x² + 4·x + 12

2) g(x) = x + 2

The table of values are therefore;

x,        f(x),      g(x)

-7,       -65,     -5

-6,       -48,     -4

-5,       -33,     -3

-4,       -20,     -2

-3,        -9,      -1

-2,        0,        0

-1,         7,         1

0,        12,        2

1,        15,         3

2,       16,         4

3,       15,         5

4,       12,         6

5,        7,          7

6,       0,           8

Therefore the solution to the equation f(x) = g(x), occurs at x = -2 and x = 5, where  f(x) = g(x) = 0 and 7 respectively

To verify, we have;

Equating the two functions gives;

f(x) = g(x)

-x² + 4·x + 12 = x + 2

-x² + 4·x + 12 - (x + 2) = 0

-x² + 3·x + 10  = 0

(x + 2)(x - 5) = 0

x = 5 or -2

The correct option is x = 5.

Answer:

C. x=5

Step-by-step explanation:

Please see attachments. You'll see that at the x=5 y will equal 7.

Hope this helps!

Answer:

Distance = 17.5 miles

Step-by-step explanation:

Note.

Given question is not complete

Given:

Speed upstream = x

Time taken in upstream = 3.5 hour

Speed in return trip = (x+2)

Time taken in return trip = 2.5 hour

Computation:

Distance = speed × time

Distance = x (3.5)

Distance = 2.5 (x+2)

Distance = 2.5x + 5

So,

2.5x + 5 = 3.5 x

1.5 x = 5

x = 5 miles/hour

Distance = x (3.5)

Distance = 5 (3.5)

Distance = 17.5 miles

Answer:

[tex]\huge \boxed{\mathrm{500 \ miles}}[/tex]

Step-by-step explanation:

A right triangle is formed.

300 miles and 400 miles are the legs of the triangle.

We can apply Pythagorean theorem.

[tex]c=\sqrt{300^2 +400^2 }[/tex]

[tex]c=\sqrt{90000 +160000}[/tex]

[tex]c=\sqrt{250000}[/tex]

[tex]c=500[/tex]

Answer:

v = 18

Step-by-step explanation:

Given

79 = 61 + v ( subtract 61 from both sides )

18 = v

Answer:

2b - 8z - 6

Step-by-step explanation:

Rearrange the equation, so like terms are near each other

-2b+4b-3z-5z-6

Now we add the b's and z's to get,

2b - 8z - 6

Answer:

2b -8z -6

Step-by-step explanation:

−2b−5z−6+4b−3z​

Combine like terms

−2b+4b−5z−3z​−6

2b -8z -6

Answer:

a = 29/46

b= - 9/46

Step-by-step explanation:

Given:

Rationalizing the left side:

Comparing the left and right sides:

Answer:

(-infinity, 20)

Step-by-step explanation:

the lower bound is negative infinity because no lower bound was given. The higher bound is 20, and it has a parentathesis because it is less than.

Answer:

[tex]12-[20-2(6^2\div3\times2^2)]=88[/tex]

Step-by-step explanation:

So we have the expression:

[tex]12-[20-2(6^2\div3\times2^2)][/tex]

Recall the order of operations or PEMDAS:

P: Operations within parentheses must be done first. On a side note, do parentheses before brackets.

E: Within the parentheses, if exponents are present, do them before all other operations.

M/D: Multiplication and division next, whichever comes first.

A/S: Addition and subtraction next, whichever comes first.

(Note: This is how the order of operations is traditionally taught and how it was to me. If this is different for you, I do apologize. However, the answer should be the same.)

Thus, we should do the operations inside the parentheses first. Therefore:

[tex]12-[20-2(6^2\div3\times2^2)][/tex]

The parentheses is:

[tex](6^2\div3\times2^2)[/tex]

Square the 6 and the 4:

[tex](36\div3\times4)[/tex]

Do the operations from left to right. 36 divided by 3 is 12. 12 times 4 is 48:

[tex](36\div3\times4)\\=(12\times4)\\=48[/tex]

Therefore, the original equation is now:

[tex]12-[20-2(6^2\div3\times2^2)]\\=12- [20-2(48)][/tex]

Multiply with the brackets:

[tex]=12-[20-96][/tex]

Subtract with the brackets:

[tex]=12-[-76][/tex]

Two negatives make a positive. Add:

[tex]=12+76=88[/tex]

Therefore:

[tex]12-[20-2(6^2\div3\times2^2)]=88[/tex]

Answer:

3/8 or a a decimal 0.375

Answer:

The triangle ABC is not a right triangle

Step-by-step explanation:

For a right angle triangle, we have;

The square of the longest side or leg of the triangle is equal to the  sum of the squares of the other two legs

The parameters given from the question, are;

The square of of the length of side A = 7 inch²

The square of of the length of side B = 18 inch²

The square of of the length of side C = 27 inch²

Therefore, the the longest side is side C and the inch² sum of the squares of the other two sides are 7 + 18 = 25 inch² which is less than the square of the  length of side C = 27  inch², therefore, the triangle ABC is not a right triangle.

Answer:

Not a right angle

Step-by-step explanation:

Khan academy is never wrong :3

Answer:

Moshe made $1875 and Jamal made $5625

Step-by-step explanation:

divide it in half, then divde Moshe's half in half because he only made half as much,

hope this helps and remember to mark brainliest

Moshe furnishes $5000 and Jamal furnishes $2500 of the capital. Computed by solving the linear equation x + x/2 = 7500, where x is the capital furnished by Moshe.

Linear equations are an equation involving constants and variables, where variables are raised to a power of not greater than 1.

We are informed that Jamal and Moshe starts a business with a capital of $7500. Also, we are informed that Jamal furnishes half as much capital as Moshe does.

We will try to make a linear equation and solve for it to find the capital furnished by each of them.

Let the capital furnished by Moshe be $x.

Jamal furnishes half as much capital as Moshe does.

∴ Capital furnished by Jamal = 1/2 of Moshe's capital = 1/2 of $x.

∴ Jamal's capital + Moshe's capital = Total capital furnished

We know the total capital is $7500.

∴ Our linear equation is: 1/2 of $x + $x = $7500.

Now we solve this equation in the following ways:

or, (1/2)*x + x = 7500

or, x/2 + x = 7500

or, (x + 2x)/2 = 7500

or, 3x/2 = 7500

or, x = (7500*2)/3 = 15000/3 = 5000.

∴ x = 5000.

∴ Moshe's share = $x = $5000

Jamal's share = 1/2 of $x = 1/2 of $5000 = $2500.

∴ Moshe furnishes $5000 and Jamal furnishes $2500 of the capital. Computed by solving the linear equation x + x/2 = 7500, where x is the capital furnished by Moshe.

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Step-by-step explanation:

43. P, U

44. 7

53. Airplanes can be traveling on different planes, one plane above the other. Cars on the same intersection are on the same plane.

55

a. You can choose (4 * 3 * 2)/(3 * 2) = 4 groups of 3 points in which order does not matter.

One of those combinations does not have K, so 3 combinations of the 4 have K.

p = 3/4

b. p = 1 since any three points are always coplanar.