400 reduced by twice my age is 68 how old am i

Answers

Answer 1

Answer:

hope it helps.........

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What is the value of the x-coordinate of point A?(a) sin(pi/5)
(b) cos (pi/5)
(c) sin (6pi/5)
(d) cos (6pi/5)
(e) sin (9pi/5)

Answers

The x - coordinate of the Point A is -

$$(√(5) +1)/(4)$

We have a Point A(x, y) on the graph.

We have to find out the x-coordinate of Point A(x, y).

Explain the resolution of Position vector of any point on the Cartesian coordinate.

For any position vector (say OA), having magnitude of 'M' Units, making an angle $$\theta$ with the x - axis, can be resolved along the x and y axes as -

OA = (M cos $$\theta$ ) $a_(x)$ + (M sin $$\theta$ ) $a_(y)$

According to the question, we have -

$$\theta =(\pi )/(5)$

We have to find the x - component of the position vector OA.

The circle has a radius of 1 units. Therefore, |OA| = 1

Assume that the x - coordinate of Point A is x.

Now -

x = |OA| cos ( $$(\pi )/(5)$ )

x = 1 x $(√(5) +1)/(4)$

x = $(√(5) +1)/(4)$

Hence, the x - coordinate of the PointA is -

$$(√(5) +1)/(4)$

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Step-by-step explanation:

Three-fourths of a number is at least -18

Answers

Answer:

x ≥ - 24

Step-by-step explanation:

Let's solve this with an equal sign and then decide how to handle the at least part.

3/4 x = -18 Multiply by 4

3/4 * 4 x = -18*4 Cancel the left, multiply the right.

3x = -72 Divide by 3

x ≥ -24

You need the greater than to indicate that 3/4 of a number can give something larger than - 18.

You need the equal sign to fulfill at least.

At least, in this question means "get larger."

so x > - 24

Answer:

3/4*X < -18

( put a line underneath the less than sign ) ( Astric's means multiplication )

Step-by-step explanation:

Hope this helped, Have a Wonderful Day!!

A student measures the diameter of a small cylindrical object and gets the following readings: 4.32, 4.35, 4.31, 4.36, 4.37, 4.34 cm. What is the average diameter from these readings?

Answers

Answer:

The average of the diameter readings is 4.34 cm.

Step-by-step explanation:

We are given the following data set(cm):

4.32, 4.35, 4.31, 4.36, 4.37, 4.34

Formula:

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle(26.05)/(6) = 4.34167 \approx 4.34$

Thus, the average of the diameter readings is 4.34 cm.

There are 30 students in a class, including 16 boys. The ratio of girls to boys would be 7 over 8.

Answers

Answer:

i dont understand- theres 3 ways u can put them tho 7:8 , 7 to 8 , or 7/8

Step-by-step explanation:

What is the least common denominator of 5/12 and 4/18

Answers

The least common denominator of 12 and 18 is 36.

Given that fractions $(5)/(12)$ and $(4)/(18)$ .

Fraction: It is of the form p/q where q is not equal to zero.

∴p/q , q ≠ 0

Fractions: $(5)/(12)$ and $(4)/(18)$

LCM of the denominator: 12 and 18

LCM of 12 and 18 = 36

Fraction 5/12:

Multiply numerator and denominator by 3.

$(5 * 3)/(12 * 3) = (15)/(36)$

Fraction 4/18:

Multiply numerator and denominator by 2.

$(4 * 2)/(18 * 2) = (8)/(36)$

Thus the common denominator of the fraction is 36.

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Answer:

Step-by-step explanation:

Find the area of a circle with a radius of 11 inches. Use a 3.14. The area of the circle is approximatelyinches. Enter only the number.

Answers

The area of the circle is 379.94 square inches.

What is area of a circle?

The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.

Given that, the area of a circle with a radius of 11 inches.

Here, area of a circle is

A=3.14×11²

= 3.14×121

= 379.94 square inches

Therefore, the area of the circle is 379.94 square inches.

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Answer:

A = 379.94 square inches

Step-by-step explanation: