All categories

3 years ago

Help I dont understand

Mathematics

1 answer:

Rudik [331]3 years ago

4 0

Hi mate
So u see the numbers on the cone the 7 and 9 it tells u that U have to round the nearest tenth and u have to find the answer. U answer is 64.0

You might be interested in

PLZ HELP ASAP!! (Algebra)

svp [43]

Answer:

Rational, integers, whole, natural, real

Step-by-step explanation:

109 is rational because it can be expressed as the ratio of two integers: 109:1

109 is integer because it can be written with no fractions

109 is a whole number because it has no decimals

109 is natural because it is an integer greater than 0

Hope this helps! ;)

6 0

3 years ago

What is the maximum height of of Anna's golf ball? The equation is y=x−0.04x2.

elena-s [515]

Given:

The height of a golf ball is represented by the equation:

$y=x-0.04x^2$

To find:

The maximum height of of Anna's golf ball.

Solution:

We have,

$y=x-0.04x^2$

Differentiate with respect to x.

$y'=1-0.04(2x)$

$y'=1-0.08x$

For critical values, $y'=0$ .

$1-0.08x=0$

$-0.08x=-1$

$x=\dfrac{-1}{-0.08}$

$x=12.5$

Differentiate y' with respect to x.

$y''=(0)-0.08(1)$

$y''=-0.08$

Since double derivative is negative, the function is maximum at $x=12.5$ .

Substitute $x=12.5$ in the given equation to get the maximum height.

$y=(12.5)-0.04(12.5)^2$

$y=12.5-0.04(156.25)$

$y=12.5-6.25$

$y=6.25$

Therefore, the maximum height of of Anna's golf ball is 6.25 units.

7 0

3 years ago

What is the exact value of cos (67.5° )?

Brilliant_brown [7]

Answer:

0.38268343

Step-by-step explanation:

cos( 67.5 )

Rewrite

67.5

as an angle where the values of the six trigonometric functions are known divided by 2 . cos ( 135\ 2)

Apply the cosine half-angle identity.

√

cos

(

135

)

Change the

because cosine is positive in the first quadrant.

√

cos

(

135

)

Simplify

√

cos

(

135

)

√

−

√

The result can be shown in multiple forms.

Exact Form:

√

−

√

Decimal Form:

0.38268343

…

6 0

4 years ago

A mother has two children whose ages differ by 5 years. The sum of the squares of their ages is 97. The square of the mother's

svetoff [14.1K]

Answer:

41 years old.

Step-by-step explanation:

Let x represent age of younger child.

We have been given that a mother has two children whose ages differ by 5 years. So the age of older child would be $x+5$ .

The sum of the squares of their ages is 97. We can represent this information in an equation as:

$x^2+(x+5)^2=97$

Let us solve for x.

$x^2+x^2+10x+25=97$

$2x^2+10x+25-97=0$

$2x^2+10x-72=0$

Divide both sides by 2:

$x^2+5x-36=0$

$x^2+9x-4x-36=0$

$x(x+9)-4(x+9)=0$

$(x+9)(x-4)=0$

$(x+9)=0 ; (x-4)=0$

$x=-9 ; x=4$

Since age cannot be negative, therefore, age of younger child is 4 years.

Age of older child would be $x+5\Rightarrow4+5=9$

Therefore, the age of older child would be 9 years.

We have been given that the square of the mother's age can be found by writing the squares of the children's ages one after the other as a four-digit number.

Square of 4: $4^2=16$