72.4 as a fraction PLEASEEEE

Answer:  ∠TRa = 30°, ∠aRA = 90°, ∠TRA = 120°

Step-by-step explanation:

I'm not sure if you need the angle of the left triangle only (= 30°)

or if you need the the triangle plus the rectangle (= 120°)

Left Triangle (∠TRa)

The hypotenuse is twice the base so it is a 30° - 60° - 90° triangle

where the base corresponds to the 30° angle.

Rectangle (∠aRA)

A rectangle has four right angles --> four 90° angles.

Angle Sum Theorem

∠TRA = ∠TRa + ∠aRA

          = 30° + 90°

          = 120°

Answer:

3.92*10^3mm

Step-by-step explanation:

In the diagram it gives you 7900mm. There is a figure which was given underneath written 900mm. use 7900 to subtract 900 you will get 7000. Then you can use the Pythagoras theorem to solve it, with a= height, b=5800mm and c=7000mm where, a^2+b^2=c^2.

Answer:

3919 mm

Step-by-step explanation:

Length of hypotenuse = 7900 - 900 = 7000 mm

Base = 5800 mm

Let the height of the triangle be h mm

Therefore, by Pythagoras theorem:

[tex] h = \sqrt{7000^2 - 5800^2} [/tex]

[tex] h = \sqrt{49000000- 33,640,000} [/tex]

[tex] h = \sqrt{15,360,000} [/tex]

[tex] h = 3,919.18359\: mm[/tex]

[tex] h = 3,919\: mm[/tex]

Answer:

7+3(-4)(2)= -17

Step-by-step explanation:

7+3(-4)(2)

(-4)*2=-8

∴ 7+3(-8)= 7-24

= -17

Answer:

  (a) 3/10

  (b) 9/20

Step-by-step explanation:

In order to answer this question, we must assume the probabilities are independent.

(a) p(both alive) = p(S alive)×p(A alive) = (3/4)(2/5) = 3/10

__

(b) p(only S alive) = p(S alive)×p(A not alive) = (3/4)(1 -2/5) = 9/20

Answer:

θ = 36.9°

Step-by-step explanation:

Trigonometric ratios in a right triangle will be,

Sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{\text{AC}}{\text{AB}}[/tex]

Cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{\text{BC}}{\text{AB}}[/tex]

Tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex] = [tex]\frac{\text{AC}}{\text{BC}}[/tex]

In the picture attached,

Given sides are,

AB = 5 and BC = 4

Therefore, to find the given angle θ only Cosine will be applicable.

Cos θ = [tex]\frac{\text{BC}}{\text{AB}}[/tex]

         = [tex]\frac{4}{5}[/tex]

θ = [tex]Cos^{-1}(0.8)[/tex]

θ = 36.87°

θ ≈ 36.9°

Step-by-step explanation:

In my opinion this pattern is adding 2 boxes each time

2 miles per minute. Dang, that's one fast guy.

Work Shown:

sin(angle) = opposite/hypotenuse

sin(35) = x/15

15*sin(35) = x

x = 15*sin(35)

x = 8.60364654526569

x = 8.6

Make sure your calculator is in degree mode

Answer:

CAS, T, RAB

Step-by-step explanation:

Answer:

f(0) = 2

Step-by-step explanation:

Read from the graph the value "y" that the line presents when "x" is zero. That is the f(0) you are looking for.

See attached screen capture with the point highlighted

f(0) according to the image provided is equal to 2.

f(0) = 2

Answer:

[tex]f(x)=x-7+9 \implies f(x)=x+2[/tex]

The domain is all Real number and the range is all Real numbers, as well.

[tex]\text{Domain: }(-\infty, \infty)[/tex]

[tex]\text{Range: }(-\infty, \infty)[/tex]

Answer:

7

Step-by-step explanation:

t tvtbybyvybububyvuvuv

Answer:

The least possible result is -10.

Step-by-step explanation:

Given the numbers 4, 5 and 6 are to be chosen one of the letters A, B or C.

First of all,

Let A = 4, B = 5 and C = 6

[tex]A(B-C) = 4 \times (5-6) = 4 \times -1 = -4[/tex]

Let A = 4, B = 6 and C = 5

[tex]A(B-C) = 4 \times (6-5) = 4 \times 1 = 4[/tex]

Let A = 5, B =4 and C = 6

[tex]A(B-C) = 5 \times (4-6) = 5 \times -2 = -10[/tex]

Let A = 5, B = 6 and C = 4

[tex]A(B-C) = 4 \times (6-4) = 4 \times 2 = 8[/tex]

Let A = 6, B = 4 and C = 5

[tex]A(B-C) = 6 \times (4-5) = 6 \times -1 = -6[/tex]

Let A = 6, B = 5 and C = 4

[tex]A(B-C) = 6 \times (6-5) = 6 \times 1 = 6[/tex]

Summarizing the above values in the form of a table:

[tex]\begin{center}\begin{tabular}{ c c c c}A & B & C & A(B-C)\\ 4 & 5 & 6 & -4\\ 4 & 6 & 5 & 4\\ 5 & 4 & 6 & -10\\ 5 & 6 & 4 & 10\\ 6 & 4 & 5 & -6\\ 6 & 5 & 4 & 6\end{tabular}\end{center}[/tex]

So, the least possible result is -10.

Answer:

-10

Step-by-step explanation:

you want to multiply by the smallest number, so the parantheses should be (smallest number-largest number)

(4-6)5=-2*5=-10

Answer:

The actual area is 44,825 mi², and the actual population density of Ohio is 282.3 people per square mile.  I can't answer the estimate part because I don't know what your estimate was.  But you can say my estimate was greater than the actual number or less than the actual number.  And you can say your estimate was greater/less than the actual population density because I didn't know so many people were in each square mile because a square mile isn't that large.

Step-by-step explanation:

Can't really explain this type of question. :v

Answer:

13x + 3

Step-by-step explanation:

Since there is no value on the left, you just have to simplify this. You always add similar variables together, and the constant is a different value, so 4x + 9x  would result in 13x. 13x + 3 would be the correct simplified answer.

Answer:

13x+3

Step-by-step explanation:

4x+9x+3

You do not add 13x to 3 because 3 does not have an x

Answer:

Shawna buys her rug at STORE B and she has $1.84 left over after purchasing her rug.

Step-by-step explanation:

Store a

Store a sells their rug for $45

Store a offers a discount of 10%

Discount = 10% × $45 = $4.5

Amount payable after discount = $45 - $4.5

= $41.5

There is a sales tax of 6%

The total amount payable

Amount of sales tax + Discounted price of rug

Amount of sales tax = 6 % × $41.5

= $2.472

= Discounted amount + Sales tax

= $41.5 + $2.472

=$43.972

Store b

Store a sells their rug for $46

There is a sales tax of 6%

The total amount payable

Store b offers a 10 dollar coupon off for the rug

= $46 - 10

Amount payable after = $36

Amount of sales tax + price of rug(After coupon is deducted)

Amount of sales tax = 6 % × $36

= $2.16

Amount payable by Shawna in Store a = $36 + Sales tax

= $36 + $2.16

=$38.16

Since Shawna has , only $40 to spend, she buys her rug at STORE B

The amount she has left = $40 - $38.16

= $1.84

Answer:

y = -4x + 3

Step-by-step explanation:

(0, 3) & (1, -1)

slope: (y² - y¹) / (x² - x¹)

(-1 - 3) / (1 - 0) = -4 / 1 = -4

y = -4x + b

plug in to find y-intercept (b)

3 = -4(0) + b

3 = 0 + b

b = 3

y = -4x + 3

Answer:

wait yooooo

Step-by-step explanation:

i just did that plz log into this u go to AOA also brooo we can help each other!!!!

Answer:

Hey there!

Sorry, but you are incorrect.

p(x)=7x+25

f(x)=2x^2+3

f(1)=2(1)^2+3, or 5.

p(5)=7(5)+25=60

Let me know if this helps :)

domain -∞, ∞ ,{g/g ER}

range 0,∞, {y/y≥}

Answer:

The third option is correct.

Step-by-step explanation:

The square root cannot be negative so  its minimum  value is 0  and its maximum is 3.

So the domain is [-3, 3] and the range is [0+4, 3 + 4] = [4, 7].

Answer:

8

Step-by-step explanation:

1/4πr² + (2x4) - 1/4πr²

r = 4

8

They are on the same side of the transversal cut (both to the left of the transversal) and they are both above the two black lines. It might help to make those two black lines to be parallel, though this is optional.

Other pairs of corresponding angles could be:

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

They are between the black lines, so they are interior angles. They are on alternate sides of the blue transversal, making them alternate interior angles.

The other pair of alternate interior angles is angle 4 and angle 6.

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

Similar to alternate interior angles, but now we're outside the black lines. The other pair of alternate exterior angles is angle 2 and angle 8

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

The other pair of same-side interior angles is angle 4 and angle 5. They are interior angles, and they are on the same side of the transversal.

Answer:

x= 7

Step-by-step explanation:

5/8 - 1/3 = x/24

Get a common denominator or 24

5/8 *3/3 = 15/24

1/3 *8/8 = 8/24

15/24 - 8/24 = x/24

7/24 = x/24

Multiply by 24

7 =x

Answer: the answer is rational because there is a finite(limited) number of numbers when written as a decimal .

Answer:

A

Step-by-step explanation:

Tangents drawn to a circle from an external point are congruent, thus

the triangle formed by the 2 tangents is isosceles with base angles of 74°

m = 180° - (74 + 74)° = 180° - 148° = 32° ( sum of angles in Δ )

The value of the measured angle of m is 32°.

A tangent of a circle is defined as a single point where a single straight line touches or intersects the circle. A line that never touches the inside of the circle is called a tangent.

The line connecting the outer point will cut the angle between the tangents in bisect and the center are equal to each other.

According to the given figure as

A circle with center O,

Since there are two tangents to the circle drawn from an external point.

therefore the lengths of tangents drawn from an external point to a circle are equal.

So, the triangle formed by the 2 tangents is isosceles with base angles of 74°

We know that sum of angles in the triangle is 180 degrees

So ∠ m = 180° - (74 + 74)°

⇒ ∠ m = 180° - 148°

⇒ ∠ m = 32°

Hence, the value of the measured angle of m is 32°.

Learn more about tangent of a circle here:

https://brainly.com/question/23265136

#SPJ5

Answer:

26

Step-by-step explanation:

The upper quartile is the value at the right side of the box, that is

upper quartile = 26

Answer:

2(x - 3)(3x + 2)

Step-by-step explanation:

Given

6x² - 14x - 12 ← factor out 2 from each term

= 2(3x² - 7x - 6) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 6 = - 18 and sum = - 7

The factors are - 9 and + 2

Use these factors to split the x- term

3x² - 9x + 2x - 6 ( factor the first/second and third/fourth terms )

= 3x(x - 3) + 2(x - 3) ← factor out (x - 3) from each term

= (x - 3)(3x + 2)

Thus

3x² - 7x - 6 = (x - 3)(3x + 2) and

6x² - 14x - 12 = 2(x - 3)(3x + 2) ← in factored form

Answer:

y = 25

Step-by-step explanation:

y - 9 = 16

y = 16 + 9

y = 25

Answer:

y = 25

Step-by-step explanation:

y - 9 = 16

=> y = 16 + 9

=> y = 25

Answer:

1.5 hours

Step-by-step explanation:

there are 6 hours in between the times of 4 and 10

so 4 sister split up 6 hours equally

to do this, we divide 6 and 4

6/4 = 1.5 hours

each sister can spend 1.5 hours on the computer

Answer:

1 hour and 30 minutes

Step-by-step explanation:

If four sisters get 1 hour each, 2 hours are left.

4 half hours make 2 hours.