Teresa has a clock that gives off a signal every 60 minutes, another clock that gives off a signal every 150 minutes, and a third one that gives off a signal every 360 minutes. At 9 am, all three clocks coincide and give off the signal at the same time. a) What is the least amount of hours it will take for the clocks to coincide again? b) At what time will they all give off the signal?

Answer:

3 × x³ - 10

Step-by-step explanation:

three times = 3×

difference = -

number cubed (unknown so we use x) = x³

10 = 10

Hope this helps!

I'm sorry if wrong :(

Answer:

the surface of "C" would be a triangle if sliced vertically

Step-by-step explanation:

If  vertical slice through a three-dimensional solid produces a two-dimensional shape is triangular prism, option C is correct.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

If a vertical slice through a three-dimensional solid produces a two-dimensional shape which is a triangle, it means that the solid has a triangular cross-section.

In other words, the cross-section of the solid that is perpendicular to its base is in the shape of a triangle.

A triangular prism is a solid shape that has a triangular cross-section. If you were to take a vertical slice through the prism, the resulting two-dimensional shape would be a triangle.

Hence, if  vertical slice through a three-dimensional solid produces a two-dimensional shape is triangular prism

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Step-by-step explanation:

Here radical rule is that [tex]\sqrt[n]{x^{m} } = x^{m/n}[/tex]  ;  [tex]x\neq 0[/tex] so

[tex]\sqrt[4]{x^3} = x^{3/4}[/tex]

>>[tex](x^{3/4})/x^{1/12}[/tex]

>>[tex]x^{2/3}[/tex]

Answer:

Step-by-step explanation:

When calculating x-intercept, always think: y=0.

Putting this into the formula creates:

3x+0 = -3

3x = -3

x = -1

Answer:

22

Step-by-step explanation:

these i can do keep sendin em in

Answer:

22

b/c XXVI - IV

(26 - 4 )

=22

[tex]\\ \sf\longmapsto tan40=\dfrac{P}{430}[/tex]

[tex]\\ \sf\longmapsto 0.83=\dfrac{P}{430}[/tex]

[tex]\\ \sf\longmapsto P=430(0.83)[/tex]

[tex]\\ \sf\longmapsto P\approx361m[/tex]

Step-by-step explanation:

factors of -2 = -1 and -2

factors of -2800 = -1 -2 -4 -5 -7 -8 -10 -14 -16 -20 -25 -28 -35 -40 -56 -70 -80 -100 -112 -140 -175 -200 -280 -350 -400 -560 -700 -1400 -2800

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Answer:

C. c = 10

Step-by-step explanation:

You have to use the Pythagorean theorem:

c² = 6² + 8²

c² = 36 + 64

c² = 100

c = √100

c = 10

Answer:

c = 10

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

6^2 + 8^2 = c^2

36+64= c^2

100 = c^2

Take the square root of each side

sqrt(100) = sqrt(c^2)

10 -c

Answer:

B) x = 3

Step-by-step explanation:

This is the axis of symmetry because the graph is symmetric in this line

Answer:

I believe that the answer is NONE the right angle at B should be enough information to prove that DE is ⊥ to AC

Step-by-step explanation:

By the Side-Angle-Side postulates, the triangles ΔABD and ΔCBD are congruent to each other.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If two triangles are congruent, then the ratio of the corresponding sides will be ONE.

The line DE is the perpendicular bisector of AC. Then we have

In triangles ΔABD and ΔCBD,

DB = DB (Common side)

∠ABD = ∠CBD = 90°

AB = BC (Bisector length)

By the Side-Angle-Side postulates, the triangles ΔABD and ΔCBD are congruent to each other.

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Answer:

80

Step-by-step explanation:

Answer:

5,000,000,000+200,000,000+40,000,000+8,000,000+600,000+60,000+3,000+700+10+1

Step-by-step explanation:

5,000,000,000 + 200,000,000+ 40,000,000+ 8,000,000+ 600,000+ 60,000+ 3,000

+ 700 + 10 + 1

Answer:

n = 12.546

Step-by-step explanation:

to find the value of n we need to transpose

n ÷ 102 = 0.123

n = 0.123 × 102

n = 12.546

Answer:

2,172 adults

Step-by-step explanation:

Let adults = x

children = y

x + y = 5400

9.5x + 6.5y = 41,616

Let's use the elimination method to solve this.

Multiply the top equation by -6.5

(x + y = 5400)-6.5

-6.5x - 6.5y = -35100

This will allow us to eliminate the y and add up the other terms

9.5x + 6.5y = 41,616

-6.5x - 6.5y = -35100

3x = 6516

Divide both sides by the coefficient, 3, to isolate the variable, x

3x/3 = 6516/3

x = 2172

Answer:

57.12 m

Step-by-step explanation:

velocity= distance/time

distance= velocity×time

=22.4×2.55

=57.12 m

Answer:

d = 28.6 m

Step-by-step explanation:

Given:

vi = 22.4 m/s

vf = 0 m/s

t = 2.55 s

Find:

d = ??

d = (vi + vf)/2 *t

d = (22.4 m/s + 0 m/s)/2 *2.55 s

d = (11.2 m/s)*2.55 s

d = 28.6 m

Answer:

D

Step-by-step explanation:

Using the Altitude- on- hypotenuse theorem

DF² = CD × DE , substitute values

12² = 6 DE

144 = 6 DE ( divide both sides by 6 )

24 = DE → D

[tex]\\ \sf\longmapsto \dfrac{2}{3}\:of\:180[/tex]

[tex]\\ \sf\longmapsto \dfrac{2}{3}\times 180[/tex]

[tex]\\ \sf\longmapsto 2(60)[/tex]

[tex]\\ \sf\longmapsto 120[/tex]

Convert to radians

[tex]\\ \sf\longmapsto 120\times \dfrac{\pi}{180}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2\pi}{3}rad[/tex]

Answer:

r/2 = w

Step-by-step explanation:

r = 2w

Divide each side by 2

r/2 = 2w/2

r/2 = w

Answer:

g(6) = -1 -77

because the expression doesn't have r

Step-by-step explanation:

[tex]\\ \sf\longmapsto f(x+4)=3x+2[/tex]

[tex]\\ \sf\longmapsto f(y)=3(y-4)+2[/tex]

[tex]\\ \sf\longmapsto f(y)=3y-12+2[/tex]

[tex]\\ \sf\longmapsto f(y)=3y-10[/tex]

Hence

[tex]\\ \sf\longmapsto f(x)=3x-10[/tex]

So

[tex]\\ \sf\longmapsto f(4)=3(4)-10[/tex]

[tex]\\ \sf\longmapsto f(4)=12-10[/tex]

[tex]\\ \sf\longmapsto f(4)=2[/tex]

Answer: 2

hi,

Step-by-step explanation:

[tex]f(x+4)=3x+2\\\\Let\ say\ y=x+4\ or\ x=y-4\\\\f(y)=3*(y-4)+2=3y-12+2=3y-10\\\\so\ f(x)=3x-10\\\\and\ f(4)=3*4-10=12-10=2\\[/tex]

Step-by-step explanation: Similar figures have the same shape, but not necessarily the size. If two figures are similar, then their corresponding angles are congruent so <E ≅ <O because these are the corresponding angles in the similarity statement.

Answer: <E ≅ <O

Step-by-step explanation:

Answer:

-69/8

Step-by-step explanation:

-2/3y - 3/4 = 5

-2/3y = 23/4

y = -69/8

Step-by-step explanation:

4-2x+8/3 = 6x+15/2

12-2x+8/3= 6x+15/2 ( taken LCM. of 1,3,3 in LHS)

20-2x/3=6x+15/2

Do cross multiplication

2(20-2x) = 3(6x+15)

40-4x=18x+45

-4x-18x=45+40

-22x= 85

-x= 85/22

x= - 3.86..

hope it helps

Answer:

the least

Step-by-step explanation:

Answer:

-∞

Step-by-step explanation:

Negative numbers are the smallest on the number line. Since the number range is not specified -∞ would be a preferred answer.

Answer:

h = (3×V)/ (pi×r²)

Step-by-step explanation:

[tex]v = \frac{\pi {r}^{2} h}{3} [/tex]

[tex]3 \times v = \pi {r}^{2} h[/tex]

[tex]h = \frac{3v}{\pi {r}^{2} } [/tex]

[tex]\\ \sf\longmapsto \dfrac{sin40.sin120}{sin110-sin340}[/tex]

[tex]\\ \sf\longmapsto \dfrac{sin(90-50).sin(90+30)}{sin(90+20).sin(360-20)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{cos50.cos30}{cos20.(-sin20}[/tex]

[tex]\\ \sf\longmapsto \dfrac{cos50cos30}{-sin20cos20}[/tex]

[tex]\\ \sf\longmapsto -\dfrac{cos30cos50}{sin20cos20}[/tex]