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4 years ago

Evaluate a+3.45+b at a a=2.88 and b=6.02 Answer:

Mathematics

1 answer:

madam [21]4 years ago

7 0

Answer:

12.35

Step-by-step explanation:

Plugin value in place of the variables.

Hope this helps! Good luck :-)

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I really need help this is hard

Elis [28]

Answer:

it's simple

Step-by-step explanation:

r=d/2

r=12/2

r=6

circumference of circle = 2πr

=2*(3.14)*6

=12*3.14

= 37.68

8 0

3 years ago

□+□+□=30 Fill in the boxes using 1,3,5,7,9,11,13,15 You can also repeat the number?

adelina 88 [10]

It is impossible to get the result of 30 using just odd numbers in the blanks.

Using factorials, we get 3! + 11 + 13 = 30 or 3! + 9 + 15 = 30

Solution:

----- + ------ + ------- = 30

We have to fill with numbers 1, 3, 5, 7, 9, 11, 13, 15 to get 30

We can also repeat the number

Given are the set odd numbers like 1, 3, 5, 7, 9, 11, 13, 15

We need three numbers to fill in the box to get 30

When three odd numbers are added, it results in odd number

But we should get 30, which is a even number

So it is impossible to get the result of 30 using just odd numbers in the blanks.

Using tricks, some of solutions are:

We can use factorial

3! + 9 + 15 = 6 + 9 + 15 = 30

3! + 11 + 13

So, 6 + 11 + 13 = 30

5 0

3 years ago

Circle Y has a center at (2,3) and a radius of 4. Circle Z has a center at (2,−3) and a radius of 10. What is the scale factor o

guajiro [1.7K]

Answer:

The scale factor of all radii of circle Y to all radii of circle Z is 2.5

Step-by-step explanation:

we know that

The radius of circle Y is 4 units

The radius of circle Z is 10 units

To find the scale factor of all radii of circle Y to all radii of circle Z, divide the radius of circle Z by the radius of circle Y

10/4=2.5

3 0

3 years ago

Write the sum using summation notation, assuming the suggested pattern continues.

zavuch27 [327]

Answer:

It is the first choice.

Step-by-step explanation:

This is a sequence where

the next term is obtained by adding 6.

first term = -9 + 6(0) = -9

second term = -9 + 6(1) = -3

third term = -9 + 6(2) = 3

4th term = -9 + 6(3) = 9

and 81 = -9 + (6*15).

So the answer is Sigma (-9 + 6n) from n= 0 to n = 15.

6 0

4 years ago

A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum heigh

aleksklad [387]

The spider's movement is an illustration of a parabola.

The equation of a parabola is: $\mathbf{y = -\frac{1}{160}(x - 40) + 10}$
The focus of a parabola is: (40,-30)
The axis of symmetry is: $\mathbf{x = 40}$
The directrix is: $\mathbf{y = 50}$

(a) The equation

The spider passes through the origin.

So, we have:

$\mathbf{(x,y) = (0,0)}$

The spider jumps to a maximum height of 10mm, midway 80mm.

So, the vertex is:

$\mathbf{(h,k) = (40,10)}$

The equation of a parabola is:

$\mathbf{y = a(x - h)^2 + k}$

So, we have:

$\mathbf{0 = a(0 - 40)^2 + 10}$

Subtract 10 from both sides

$\mathbf{a(0 - 40)^2 =- 10}$

$\mathbf{1600a =- 10}$

Solve for a

$\mathbf{a =- \frac{1}{160}}$

Substitute $\mathbf{a =- \frac{1}{160}}$ and $\mathbf{(h,k) = (40,10)}$ in $\mathbf{(h,k) = (40,10)}$

$\mathbf{y = -\frac{1}{160}(x - 40) + 10}$

(b) The focus, directrix and the axis of symmetry

The focus of a parabola is:

$\mathbf{Focus= (h, k + p)}$

Where:

$\mathbf{p = \frac{1}{4a}}$

So, we have:

$\mathbf{p = \frac{1}{4 \times -1/160}}$

$\mathbf{p = -\frac{160}{4}}$

$\mathbf{p = -40}$

So, we have:

$\mathbf{Focus = (40,10-40)}$

$\mathbf{Focus = (40,-30)}$

The axis of symmetry is:

$\mathbf{x = h}$

So, we have:

$\mathbf{x = 40}$

The directrix is:

$\mathbf{y = k - p}$

$\mathbf{y = 10 + 40}$

$\mathbf{y = 50}$