Ben is 50 years old. His son, Carl is 24 years old. How many years ago was Ben 3 times as old as Carl?​

Answer:

m∠1 = 147°

Step-by-step explanation:

(5x-2)° and ∠1 are supplementary to each other, which means they add up to 180°. However, we don't know the measure of ∠1. So, we need to solve for x to figure out angle (5x-2)°'s measure. Therefore:

(8x+1)°+(5x-2)°+90°=180°

8x+1+5x-2+90=180

13x+89=180

13x=91

x=7

This means the measure of angle (5x-2)° is 33°, making the measure of ∠1 equal to 147°.

Answer:

it should be A, but it depends on how you look at it

Answer:

84 cm^2

10 cm

Step-by-step explanation:

A parallelogram is  quadrilateral that has two pairs of parallel sides. The opposite sides  equal in length

Area = base x height

12 x 7 = 84 cm^2

Perimeter = 1/2 x ( base + length)

1/2 x (12 + 8) = 10 cm

Answer:

a) 3C1 * 12 C1 / 15 C2

b)  1 - 12C2 / 15C2

Step-by-step explanation:

Được

Viên bi đỏ = 3

Viên bi trắng = 5

Viên bi xanh = 7

Hai quả bóng được rút ra một cách ngẫu nhiên

a) Có 1 bi đỏ

3C1 * 12 C1 / 15 C2

b) Có ít nhất 1 viên bi đỏ trong số 2 viên lấy ra.

Số kết quả của việc chọn hai quả bóng trong số 15 quả bóng = 15 C2

Số kết quả của việc chọn 0 quả bóng đỏ = 15C12

Xác suất chọn được ít nhất 1 viên bi đỏ = 1 - 12C2 / 15C2

The product of two numbers is the result you get when you multiply them together. Therefore,

12 × 3 = 36

Hope this helps! :D

Answer:

The answer is 49 in^2.

Step-by-step explanation:

The area of the triangle is 1/2* perpendicular height * horizontal length.

The horizontal length is 14 in, while the perpendicular height is 7 in.

The area of the triangle is 1/2* 7 in * 14 in = 49 in^2

Answer:

-1/3

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - (-2) / 9 - 0

-3 / 9

-1/3

Answer:

A. 232 acres

Step-by-step explanation:

Got it right

The number of acres of land that were harvested is given by A = 232 acres

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the total amount of harvest of bushels be = 9,396 bushels

And , the amount of bushels per acre = 40.5

So , number of acres of land that were harvested is A = amount of harvest of bushels / amount of bushels per acre

On simplifying the equation , we get

The number of acres of land that were harvested is A = 9,396 / 40.5

The number of acres of land that were harvested is A = 232 acres

Hence , the number of acres is 232 acres

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Answer:

The sixth term of the sequence = -234

Step-by-step explanation:

The formula of a geometric sequence is:

aₙ = a₁ + r⁽ⁿ⁻¹⁾

Where;

aₙ = the term value

n = the term that has to be found out

a₁ = first term in the sequence

r = common ration

Here in this situation:

aₙ = unknown

n = 6

a₁ = 9

r = -3

Therefore the solution would be:

a₆ = 9 + (-3)⁶⁻¹

a₆ = 9 + (-3)⁵

a₆ = 9 + (-243)

a₆ = -234

Therefore the sixth term of the sequence would be: -234

Hope this helps!

Answer:

90

Step-by-step explanation: I’m assuming I hoped it helped!!!

Answer:

option 3

Step-by-step explanation:

[tex]circumference = 2 \pi r\\30 \pi = 2 \pi r\\\\r = \frac{30 \pi }{2 \pi} =15mm\\\\Area = \pi r^2 = \pi 15^2 = 225 \pi \ mm^2[/tex]

Answer: [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

m=2/3

Step-by-step explanation:

Identify the coordinates (x₁,y₁) and (x₂,y₂) . ...

Input the values into the formula. (-2,-1) (4,3) the formula is (y1-y2)/(x1-x2)

Subtract the values in parentheses to get 4/6

Simplify the fraction to get the slope of  2/3

Answer:

56.5 square inches

Step-by-step explanation:

Answer:

the person above me is right

Step-by-step explanation:

Answer:

y=17x -25

825 = 17x -25

850 = 17x

x = 850/17

x= 50

means 50h

and sorry second one i don't know

Answer:

68° because it is parallel \ this sign

Answer:

a=1

b=-4

The graph is a parabola with vertex in (2,-9), y-intercept (0,-5) and x-intercepts (+5,0) and (-1, 0)

Step-by-step explanation:

[tex]xv = \frac{ - b}{2a} [/tex]

[tex]yv = f(xv)[/tex]

y-intercept: P(0, c)

x-intercepts: find x1 and x2 with the quadratic formula, then P1(x1, 0) and P2(x2, 0)

Answer:

Answer: a= 1 b= -4

Step 2 find the vertex formula x = -b/2aX= 4/2(1)X= 2

Find the y-coordinate of the vertex: f(x)= 2^2-4(2)-53F(2)= -9

Step 3: plot the vertex(2,-9)

Step 4: factor the function to find the x- intercepts

X-intercepts are: (5,0) and (-1,0)

Step 5: plot x-interceptsStep

6: find y-interceptF(0)= -5

Step 7: plot -5

Done :)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

22g+15h

Step-by-step explanation:

28g+3×5h+2×−3g

28g+15h+2×−3g

28g+15h−6g

(28g−6g)+15h

hope this helps!!

The jump from -25 to -15 is +10

The jump from -15 to -5 is also +10

The jump from -5 to 5 is also +10

Unfortunately, this pattern doesn't hold up. The jump from 5 to 10 is +5

Because the gap isn't the same each time, this tells us the sequence is not arithmetic.

----------------

We can show the sequence isn't geometric either. Pick any term to divide it over its previous term

-15/(-25) = 0.6

-5/(-15) = 0.333 approximate

The result isn't the same, so we don't have a common ratio and that's why this sequence isn't geometric.

----------------

It seems like your teacher made a typo. Please double check with them to make sure that they typed the correct sequence. I have a feeling that 10 should be 15, but I'm not entirely sure.

Answer:

Sin = If you have hypotenuse and the opposite side

[tex]\frac{opp}{hyp}[/tex]

Cos = If you have hypotenuse and an adjacent(close by) side

[tex]\frac{adj}{hyp}[/tex]

Tan = If you have the adjacent and opposite sides

[tex]\frac{opp}{adj}[/tex]

Answer with step-by-step explanation:

Hi there! The Sine, Cosine, and Tangent functions have many different uses and there are various circumstances where you can use them. They are generally used for trigonometry.

Let's start with basic trigonometry for a right triangle. This is likely where these functions were introduced to you.

For any right triangle:

The sine of an angle is equal to its opposite side divided by the hypotenuse of the triangle (o/h).

The cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle (a/h).

The tangent of an angle is equal to its opposite side divided by its adjacent side (o/a).

Any angle's "opposite" side is defined by the side the angle creates or is opposite to the opening of the angle. The adjacent side of an angle is defined by the side that touches/forms the angle that is not the hypotenuse. The hypotenuse is always defined as the longest side of a right triangle.

Oftentimes, students used the phrase "SOH-CAH-TOA" to remember this. The abbreviation simply stands for "Sin-Opposite-Hypotenuse || Cos-Adjacent-Hypotenuse || Tan-Opposite-Adjacent". Regardless of how you remember it, it is crucial to note that this only works for a right triangle.

These are just the basics, but you'll work with sine, cosine, and tangent as you learn about the Unit Circle, Law of Sines, Law of Cosines, sinusoidal functions, the graphs they make, and more.

Answer:

240

Step-by-step explanation:

If you are going 120 mph for 2 hours.  You simply multiply the two values, giving 240 and the units for this is miles because in the multiplication, the units are m/h * h and this cancels out the hours and leaves just miles.

Answer:

240miles

Step-by-step explanation: 120 per hour X 2 hours = 240

Answer:

B

Step-by-step explanation:

950 is an even number.

Answer:

c=18

Step-by-step explanation:

The measure of the sides, of the square, is  3√2 units

The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

Given is a square, with diagonal of 6 units we need to find the measure of the sides, of the square,

By the definition of the Pythagoras theorem,

s² + s² = 6²

2s² = 36

s² = 18

s = 3√2

Therefore, we get s = 3√2

Hence, the measure of the sides, of the square, is  3√2 units

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The complete question is attached

Answer:

Step-by-step explanation:

Amount=Principal + Interest

1200=1008 + interest

1200-1008=interest

rupees 192 = Interest

Answer:

F=2E

ANGLE F+ANGLE E=120

2E. + E. =120

3E=120

E=40

Answer:

y=x

Step-by-step explanation: