MULTIPLE CHOICE
A dog show has 6 small dogs, 12 medium-sized dogs, and 6 large
dogs. What is the probability that a dog chosen at random is a
small dog?

Answer:

13.9 ft

Step-by-step explanation:

Since the triangle is a right triangle we can use pythagoreom theorm.

16^2=8^2+a^2 (a is the unknown side)

256= 64+a^2

192= a^2

Square root both sides and you get around 13.9 ft

Answer:

3x + 18

Step-by-step explanation:

Given

3(x + 6) ← multiply each term in the parenthesis by 3

= 3x + 18

Answer:

The angle of elevation from the ground to the plane is 11.5 degrees

Step-by-step explanation:

Given -

Horizontal distance from the point of takeoff to which the plane flies in a straight line = 4000 feet

The vertical distance travelled from the ground to the plane is 800 feet

Angle of Elevation

[tex]Sin X= \frac{800}{4000} \\X = Sin^{-1}\frac{800}{4000}\\X = 11.5[/tex]

The angle of elevation from the ground to the plane is 11.5 degrees

Answer:

1. h = -16t² + 30t + 4

2. 2 s

Step-by-step explanation:

1.  Write an equation that gives you the height of the feet of the ball as a function of time since it left the jugglers hand?

Since the height moved by the ball, h is given by

h = -16t² + vt + s

Since v = initial vertical velocity = 30 ft/s and s = initial height = 4 ft, then

substituting the values of the variables into the equation for h, we have

h = -16t² + vt + s

h = -16t² + 30t + 4

2. Then calculate if the juggler misses the ball how many seconds does it take to hit the ground?

The ball hits the ground when h = 0

So, h = 0 ⇒

-16t² + 30t + 4 = 0

dividing through by -2, we have

8t² - 15t - 2 = 0

Factorizing, we have

8t² - 16t + t  - 2 = 0

8t(t - 2) + (t  - 2) = 0

(8t + 1)(t - 2) = 0

8t + 1 = 0 or t - 2 = 0

8t = -1 or t = 2

t = -1/8 or t = 2

Since t cannot be negative, t = 2 s

So, the ball hits the ground after 2 s.

Answer:

88 units

Step-by-step explanation:

[tex] In\: \triangle OBR \:\&\: \triangle OWN[/tex]

BR || WN (Given)

Therefore,

[tex] \angle OBR \cong \angle OWN[/tex] (Alternate angles)

[tex] \angle BOR \cong \angle WON[/tex] (Vertical angles)

[tex] \therefore \triangle OBR \sim \triangle OWN[/tex] (AA postulate)

[tex] \therefore \frac{OR}{ON} =\frac{BR}{WN} [/tex] (csst)

[tex] \therefore \frac{OR}{56} =\frac{24}{42} [/tex]

[tex] \therefore \frac{OR}{56} =\frac{4}{7} [/tex]

[tex] \therefore OR =\frac{4\times 56}{7} [/tex]

[tex] \therefore OR ={4\times 8} [/tex]

[tex] \therefore OR =32 [/tex]

RN = OR + ON

RN = 32 + 56

RN = 88 units

Answer:

96 cm³

Step-by-step explanation:

V=1/2×6×8×4=196/2=96cm³

Answer:

Based on a standard work week of 40 hours, a full-time employee works 2,080 hours per year (40 hours a week x 52 weeks a year). So if an employee earns $40,000 annually working 40 hours a week, they make about $19.23

Answer: 8,500

Step-by-step explanation:

Answer:

8250 mL

Step-by-step explanation:

Multiply the volume value by 1000

Answer:

if 7 men complete the work in 52 days, it means a man will take (52×7=364)days to complete the same piece of work. therefore 13 men will take (364÷13)days which is equal to 28 days.

Answer:

The Monument is taller than the child by 174.125 meters

Step-by-step explanation:

The Monument in Santiago measures 175 meters. A child measures 87.5 centimeters.

Step 1

Convert child's height to meters

100cm = 1 m

87.5 cm = x

Cross Multiply

100cm × x = 87.5 cm × 1m

x = 87.5 cm × 1m/100cm

x = 0.875m

Step 2

How much is the Monument taller than the child?

This is calculated by subtracting Child's height from Monument height

= 175 m - 0.875m

= 174.125 m

Therefore, the Monument is taller than the child by 174.125 m

Answer:

C 684 sq. m

Step-by-step explanation:

[tex]A = \frac{a + b}{2} h[/tex]

(26 + 46) /2  x 19 = 684

Answer:

an=yearn−year−0.17n+0.34

Step-by-step explanation:

Answer:

68%

Step-by-step explanation:

17% × 4

68%

Answer:

16 +6=22 9 +x = 22

x=22-9

x= 13

Answer:

The volume of this cylinder is 502.4 cubic inch

Step-by-step explanation:

For a given Cylinder

Radius (r) = 4 in.

Height (h) = 10 in.

Now,

Volume of Cylinder

V = πr²h

V = 3.14 × (4)² × 10

V = 3.14 × 16 × 10

V = 502.4 cubic inch

Thus, The volume of this cylinder is 502.4 cubic inch

-TheUnknownScientist

Answer:

8+6x=30+4x+2 The answer is 12

Step-by-step explanation:

Reason - The sum of opposite interior of a triangle is equal to opposite exterior angle .

Kyle's yesterday's time was 108 seconds, or 1 minute and 48 seconds, faster than his normal time.

To find the difference in time between Kyle's normal time and yesterday's time, we need to subtract his normal time from yesterday's time:

(21 minutes 38seconds)−(23 minutes 26 seconds)

(21 minutes 38 seconds)−(23 minutes 26 seconds)

We can first convert both times to seconds to make the subtraction easier:

=(21×60+38)seconds

−(23×60+26)seconds

=(21×60+38) seconds−(23×60+26) seconds

=(1298 seconds)−(1406 seconds)

=(1298 seconds)−(1406 seconds)

=−108 seconds

=−108 seconds

The result is negative because Kyle's yesterday's time is faster than his normal time. To find the positive difference, we can multiply by -1:

∣−108∣ =108seconds

∣−108∣= 108 seconds

Therefore, Kyle's yesterday's time was 108 seconds, or 1 minute and 48 seconds, faster than his normal time.

Learn more about linear equations here:

brainly.com/question/11897796

#SPJ1

Answer:

1

Step-by-step explanation:

For any triangle, you only need to know 3 pieces of information out of the 6 angles and sides to solve for the rest of the triangle.

Answer:

9.22 feet

Step-by-step explanation:

To find the sides of a right triangle, we use the Pythagorean Theorem:

a² + b² = c²

a and b are each one side. c is the hypotenuse.

Let's plug in what we know.

a² + b² = c²

(6)² + (7)² = c²

Evaluate the exponents.

36 + 49 = c²

Add.

85 = c²

Take the square root of both sides.

√85 = √c²

√85 = c

9.22 = c

The hypotenuse is about 9.22 feet long.

Hope this helps!

hi as a person who is taking geometry, i think i can help

Answer:

7x-3=5x+1 ->x=2

Step-by-step explanation:

to find the x, you would put both equations together like how it is shown above, then try and get x to one side

7x-3=5x+1

   +3      +3

7x=5x+4

-5x -5x

2x=4

/2   /2

x=2

Answer:

1/7

Step-by-step explanation:

Answer:

The probability of flipping tails is 1/2

Answer:

Hello! Your answer would be,

Step-by-step explanation:

Write as an inequality: x is at least 30. If ... The method we will use to solve applications with linear inequalities is very ... If he charges ?60 per job, how many jobs must he do to earn a profit of at least ?4,000 a month? ... Find your last month's phone bill and the hourly salary you are paid at your job. ... 30\text{°},60\text{°},90\.

Answer:

6.00

Step-by-step explanation: