In the right triangle shown in the diagram below, what is the value of x to the nearest whole number?

Answer:

The truck

Step-by-step explanation:

You need to first find out how many miles per hour each is going. To do this you need to divide. 480/8=60 210/3=70 with this information you just need to take the one that goes faster which is the truck.

Answer:

option b is correct answer

The unit price in cents per ounce will be 17 cents / ounce.

The cost of the 6 ounce frozen orange juice is given as:

Cost = $ 1.02

We know that:

$ 1 = 100 cents.

So, by using multiplication, we get that:

$ 1.02 = 1.02 × 100 cents

$ 1.02 = 102 cents.

Now, Number of ounces = 6 ounces

Unit price in cents per ounce = 102 cents / 6 ounce

Unit price in cents per ounce = 51 cents / 3 ounce

Unit price in cents per ounce = 17 cents / ounce

Therefore, the unit price in cents per ounce will be 17 cents / ounce.

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Answer:

SAS

Step-by-step explanation:

2 sides and 1 angle are congurent

Answer:

The S.A.S rule can be used to prove the following triangles congruent.

Step-by-step explanation:

The S.A.S rule is when 2 sides and the angle in that triangle are equal to the 2  sides and angle of the other triangle, then u can considere that triangle congruent.

Answer:

the answer i believe is 37.30

Answer:

-6

Step-by-step explanation:

Using PEMDAS , division comes first.  

4 ÷ 2 - 8

= 2 - 8

= -6

Answer:

1( ×=2

2( x=5

ekekjejew

Answer:

Mean: 54

Mode: There is none

Median: (50+52)/2 = 51

Step-by-step explanation:

Hope this helps!!! :D

Answer:

Part A is $21 and part B is $30.21

Answer:b because the equation is right.

Step-by-step explanation:

Step-by-step explanation:

D.

15 × (1 + 2) is you're answer

Answer:

146

Step-by-step explanation:

Answer:

the interest rate on this investment k = 0.05 or 5%

Step-by-step explanation:

Given that;

dp/dt = kp

dp/p = k dt

now we integrate on both sides

integral dp/p = integral k dt

ln p = kt + c

p =e^kt + c

p = ce^kt

Given that p = $180,000 is invested (when t = 0)

p = ce^kt

we substitute

180000 = ce^k×0

180000 = ce^0

180000 = c × 1

c = 180,000

we substitute the value in the equation

p = 180000e^kt

now given that the amount in the account after 17 years is $421,136

i.e at t = 17 and p = 421,136

we substitute

421,136 = 180000e^17k

divide both sides by 180000

421136/180000 = 180000e^17k / 180000

e^17k = 2.3396

17k = In(2.3396)

17k = 0.8499

k = 0.04999 ≈ 0.05

therefore the interest rate on this investment k = 0.05 or 5%

Answer:

4

Step-by-step explanation:

the equation for slope: (y2-y1)/(x2-x1)

the points are (1,0), and (3,8)

we can label them

x1=1

y1=0

x2=3

y2=8

now, substitute into the equation (m=slope)

m=(8-0)/(3-1)

m=8/2

m=4

Answer:

7, 5

Step-by-step explanation:

Answer:

I hope this may helps you

Answer:

C

Step-by-step explanation:

graphs A and B are called quadratic equations; example, x^2 - x - 6 and, when graphed form u-shaped curves that either cross the x-axis at one or two points, or possibly not at all.

graph D is a linear equation, x = -4

graph C is created by an equation where the x-value is raised to the third power; try graphing y = x^3 and see how it looks

2/8

If you are thinkinking logically, however, it's 50/50 since it's either you get them or not

Answer:he has a 75% chance of getting a piece without olives

Step-by-step explanation:

Answer:

j3a3

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

side length of triangle RST is 4 ✓ 3, 3 ✓ 3

So, area of triangle RST = 1/2 × 4✓ 3 × 3✓ 3 =18

sorry can u delete this my answer is wrong lol

Answer:

21 shirts

Step-by-step explanation:

Ratio jeans to shirts: 2:3

Mutiply by the same

2 to get to 14 is 7

7 x 2 = 14

7 x 3 = 21

Answer: i think the answer is 21

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

The required least common denominator (LCD) of 1/2, 2/3, and 3/8 is 24.

The least common denominator has a defined factor that is least common among the factors of the denominator is called the least common denominator.

Here,
Rewrite each fraction with the least common denominator (LCD) of 24 by multiplying both the numerator and denominator by the appropriate factor:

1/2 = (1/2) * (12/12) = 12/24

2/3 = (2/3) * (8/8) = 16/24

3/8 = (3/8) * (3/3) = 9/24

Check that the fractions have the same denominator:

12/24, 16/24, and 9/24

Therefore, the least common denominator (LCD) of 1/2, 2/3, and 3/8 is 24.

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Answer:

N(t) = N0/2^t

Step-by-step explanation:

Given that:

Number of cells present after t hours = N

Let initial number of cells = N0

Using the exponential decay relation:

N(t) = N0(1/2)^t

N(t) = N0/2^t

Hence, the number of cells N present after t hours is N(t) = N0/2^t.

Answer:

Step-by-step explanation:

Note that the domain of the function y=sin(x) ) is all real numbers (sine is defined for any angle measure), the range is −1≤y≤1 . The graph of the cosine function looks like this: The domain of the function y=cos(x) is all real numbers (cosine is defined for any angle measure), the range is −1≤y≤1 .

Step-by-step explanation:

16 because 128 divided by 8 is 16

Answer:

467

Step-by-step explanation:

Answer:

Unfortunately, you have to give the exact value of sin theta in order to solve this problem. Therefore, this problem, at least for the meantime, is unsolvable. Please rectify this! Thank you!

Answer:

sin theta in Quadrant III,

sin theta =√(1-cos²theta)

Answer:

[tex]H = (5,1)[/tex]

Step-by-step explanation:

The attachment is not clear. However, the points of G and F are:

[tex]F = (3, 2)[/tex]

[tex]G = (4, 4)[/tex]

And the options are:

[tex]A.\ (1, 2) \\ B. (4, 2)\\ C. (5, 1) \\ D. (2, 5)[/tex]

Required

Determine the coordinates of H

This question will be solved using distance formula, D

[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Since F is equidistant of G and H, the formula can be represented as:

[tex]D = \sqrt{(x_2 - x)^2 + (y_2 - y)^2}[/tex] and

[tex]D = \sqrt{(x_1 - x)^2 + (y_1 - y)^2}[/tex]

Where:

[tex](x_1,y_1) = (4,4)[/tex]

[tex](x,y) = (3,2)[/tex]

[tex]H = (x_2,y_2)[/tex]

Substitute values for x , y , x2 and y2 in [tex]D = \sqrt{(x_2 - x)^2 + (y_2 - y)^2}[/tex]

[tex]D = \sqrt{(x_2 - 3)^2 + (y_2 - 2)^2}[/tex]

Square both sides:

[tex]D^2 = (x_2 - 3)^2 + (y_2 - 2)^2[/tex]

Substitute values for x , y , x1 and y1 in [tex]D = \sqrt{(x_1 - x)^2 + (y_1 - y)^2}[/tex]

[tex]D = \sqrt{(4 - 3)^2 + (4 - 2)^2}[/tex]

Square both sides:

[tex]D^2 = (4 - 3)^2 + (4 - 2)^2[/tex]

[tex]D^2 = (1)^2 + (2)^2[/tex]

[tex]D^2 = 1 + 4[/tex]

[tex]D^2 = 5[/tex]

Substitute 5 for D^2 in [tex]D^2 = (x_2 - 3)^2 + (y_2 - 2)^2[/tex]

[tex]5 = (x_2 - 3)^2 + (y_2 - 2)^2[/tex]

From the list of given options, the values of x and y that satisfy the above condition is: (5,1)

This is shown below

[tex]5 = (5-3)^2 + (1-2)^2[/tex]

[tex]5 = (2)^2 + (-1)^2[/tex]

[tex]5 = 4 + 1[/tex]

[tex]5 = 5[/tex]

Other options do not satisfy this condition. Hence, the coordinates of H is:

[tex]H = (5,1)[/tex]

Answer:

10 Minutes

Step-by-step explanation:

To talk the same amount of time he would have to spend $2. So $0.20 per minute would mean that for 5 minutes it is $1, so he can have 10 minutes