Translate the sentence into an inequality.
The product of y and 7 is less than or equal to - 20.

Answer:

SinA=P/H

CosA=B/H

TanA=P/B

Hypotenuse=85

Perpendicular=13

Base=84

SinA=13/85

CosA=84/85

TanA= 13/84

I think it will help you.

Step-by-step explanation:

to find u

[tex]cos45 = \frac{y}{20 \sqrt{2} } \\ y = cos45 \times 20 \sqrt{2 } \\ y = 20[/tex]

[tex] {(20 \sqrt{2} )}^{2} - {20}^{2} \\ 800 - 400 = 400 \\ {x}^{2} = 400 \\ x = 20[/tex]

There is 201 feet of fencing are needed to go around the pool path.

Given

A circular swimming pool has a radius of 28 ft.

There is a path all the way around the pool that is 4 ft wide.

A fence is going to be built around the outside edge of the pool path.

A circle has a radius of 28 feet.

A larger circle goes around the smaller circle that is 4 feet wide.

For the length of the fence, we need to find the circumference of the outside of the pool path.

The radius of the outer edge of the pool path would be equal to the radius of the pool plus the width of the path.

= 28 + 4 = 32 feet

The radius is then equal to 32 feet.

The circumference of the outer edge of the pool path would be equal to the perimeter;

[tex]\rm Perimeter = 2\pi r[/tex]

Where r is the radius.

Substitute all the values in the formula;

[tex]\rm Perimeter = 2\pi r\\\\\rm Perimeter = 2\times 3.14 \times 32\\\\Perimeter = 201[/tex]

Hence, there is 201 feet of fencing are needed to go around the pool path.

To know more about perimeter click the link given below.

https://brainly.com/question/6465134

Answer:

D; 201 is correct

Step-by-step explanation:

Edge

Answer:

Explanation:

V = kT

[ where k is constant ]

277 = k(2.1883)

k = [tex]\frac{277}{2.1883}[/tex]

k = 126.6

Vk = T

277k = 2.1883

k = 2.1883/277

k = [tex]7.9 * 10^{-3}[/tex]

V * [tex]7.9 * 10^{-3}[/tex] = T

T = 0.0079V

Step-by-step explanation:

given:- M=35

to find :- r and g

r=90

m=35 let G be = x

m+r+g=180

35+90+x=180

125+x=180

x=180-125

x=55

hope this helps you

have a nice day :)

Answer:

a/

36s ~ 360º

1s ~ ?

so 1 * 360 / 36 = 10º

b/

36*3/4=27s (closest)

36*1/4=9s (farthest)

c/

20ft

Answer:

a) 10°

b) closest:  27 seconds

farthest: 9 seconds

c) 20 ft

Step-by-step explanation:

a) Angles around a point add up to 360°, therefore 1 rotation = 360°

If it makes one rotation in 36 seconds, then there are 10° per second as  360/36 = 10

b) closest to wall:  this will be a 3/4 rotation:

3/4 of 36 seconds = 0.75 x 36 = 27 seconds

farthest from wall:  1/4 rotation:

1/4 of 36 = 0.25 x 36 = 9 seconds

c) 18 seconds is half of 36 seconds.  Therefore, you will have made a 1/2 rotation.  So you will be on the same horizontal plane as the start position, but on the opposite side of the circle (see attached diagram).

Therefore, you will be 20ft away from the wall (shown in blue).

Number of Writers and authors with bachelor's degree more than those with only some college experience and no degree is Option b: 109701

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

For the given case, it is specified that:

Let we have:

writers and authors with bachelor’s degree = N + writers and authors with some college experience and no degree

(so the number of writers and authors with bachelor’s degree is N more than writers and authors with some college experience but no degree)

Number of writers and authors with bachelor's degree = 12.4% of 153000

which is [tex]\dfrac{153000}{100} \times 12.4 = 18972[/tex]

Number of writers and authors with some college experience but no degree = 84.1% of 153,000 which is [tex]\dfrac{153000}{100} \times 84.1 = 128673[/tex]

Thus,

128,673 = N + 18972

or

N = 128,673 - 18972= 109,701

Thus,

Number of Writers and authors with bachelor's degree more than those with only some college experience and no degree is Option b: 109701

Learn more about percentage here:

https://brainly.com/question/11549320

Answer:

y = 6

Step-by-step explanation:

Line QM is the midsegment of KJ and if KP is 9 and PJ is 3 then KJ is 12 so that means QM is half of line KJ because of midsegment therom so QM is 6

Answer :

Center = (1.5,0)

Radius = [tex]\sqrt{8.25}[/tex]

Explanation :

Hi there,

I have attached my answers as images to this answers, please do check it out.

If you found my answer helpful, please mark me as brainliest as that would mean a lot to me. !!

Answer:

Step-by-step explanation:

Vertical angles are opposite angles made by intersecting lines.
Any of these would apply: 1,6 or 2,5 or 3,8 or 4,7

Supplementary angles are two angles that add up to 180. Any two angles that are side by side are 180. For example 1,2 or 4,8 etc..

Answer:

supplementary = <5 and <1

vertical = <5 and <2

Answer:

54

Step-by-step explanation:

6 pennies per pile x 9 piles = 54 pennies

Answer:

54 pennies

Step-by-step explanation:

6 pennies = 1 pile

6 x 9 = 54

Answer:

Following are the required equations

[tex]x +y=84[/tex]

[tex]6x +5y=440[/tex]

Step-by-step explanation:

Let x boxes of pecans and y boxes of peanuts sold.

Total no of boxes sold = 84

[tex]\implies x +y=84[/tex]

Cost of one box of pecan =$6

So, cost of x boxes of pecans =$6x

Cost of one box of peanuts = $5

So, cost of y boxes of peanuts =$5y

Total sales = $440

[tex]\implies 6x +5y=440[/tex]

Answer: 1 is correct

2 is correct

3 is correct

4 is correct

5 is correct

6 is correct

7 is correct

8 is wrong it should be because you wouldn't add you would subtract it and the other number is negative so it would be x=-26

9 is correct

10 is correct

13 is correct

14 I think is correct

I think 15 is incorrect because if he says one less than twice the number of last year then I think you first should subtract 1 from 25 and then divide by 2 this would give you  17 packages

and I think 16 is correct too.

Hope this helped

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

1. Simplify the expression

7x-\left(3\cdot\left(x-6\right)\right)=30

Solve by distributing:

7x-\left(3x+3\cdot-6\right)=30

Simplify the arithmetic:

7x-\left(3x-18\right)=30

Expand the parentheses:

7x-3x+18=30

Simplify the arithmetic:

4x+18=30

Answer:

p= 0

p= 1/4

............

Answer:

The same lines have infinite many solutions.

Step-by-step explanation:

Hope that helps!

Answer:

hello

how are you?

x=125

y=55

Answer:

D

Step-by-step explanation:

A recursive formula lets us calculate a term in the sequence by multiplying the previous term by the common ratio r

for the sequence

- 3, 9 , - 27 , 81....

the common ratio r is

r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 3

Then the recursive formula is

f(n) = - 3 f(n - 1) if n > 1

f(1) = - 3

option D

Answer:

D)

Step-by-step explanation:

A recursive formula always has two parts: the value of an initial term (or terms), and an equation defining [tex]a_n[/tex]​​ in terms of preceding terms.

From inspection, the initial term is -3

[tex]\implies a_1=-3[/tex]

[tex]\implies f(1)=-3[/tex]

From inspection, we can see that each term is the preceding term multiplied by -3.  Therefore, the sequence can be defined as:

[tex]a_n=-3(n-1)[/tex]

[tex]\implies f(n)=-3f(n-1)[/tex]

So the recursive formula for the sequence is D)

[tex]f(n)=\left \{ {{f(1)=-3} \atop {f(n)=-3f(n-1)}} \right.[/tex]

Answer:

Box-and-whisker plot

Step-by-step explanation:

Box-and-whisker plot is a graph commonly used to not only find the mean but find the minimum, maximum, third and first quartile. In order to calculate the mean of a set of data, you have to rearrange the data and the middle number separating one half of the set, from the other half of the set is the mean. Box-and-whisker plot can accurately show the average grade on this math test.

Hope this helps.

Answer:

0.889

Step-by-step explanation:

[tex]log \sqrt{60} \\ \\ = log {60}^{ \frac{1}{2} } \\ \\ = \frac{1}{2} log(2 \times 3 \times 10) \\ \\ = \frac{1}{2} \{ log2 + log3 + log10\} \\ \\ = \frac{1}{2} \{0.301 + 0.477 + 1\} \\ (\because log 10 = 1) \\ = \frac{1}{2} (1.778) \\ \\ \huge \red{ \boxed{log \sqrt{60}= 0.889}}[/tex]

Answer:

2

Step-by-step explanation:

I just need for the points

Answer:

the answer is square because if you put all of these points on to a quadrant it makes a square

Step-by-step explanation:

brainiest please

Answer:

$1,560

Step-by-step explanation:

Interest = Principal x Interest Rate x Time (in years)

I = 6500(.04)(6)

I = 1560

Answer:

C. [tex]\frac{1}{3}y-\frac{7}{5}x+\frac{2}{3}-\frac{2}{3}y-\frac{4}{9}[/tex] matches with [tex]-\frac{2}{3} y -\frac{3}{5} x+\frac{2}{9} -\frac{4}{5} x+\frac{1}{3} y[/tex]

Step-by-step explanation:

[tex]-\frac{2}{3} y -\frac{3}{5} x+\frac{2}{9} -\frac{4}{5} x+\frac{1}{3} y[/tex]

[tex]-\frac{3}{5}x+\frac{2}{9}-\frac{4}{5}x=-\frac{7}{5}x+\frac{2}{3}-\frac{4}{9}[/tex]

[tex]-\frac{3}{5}x+\frac{2}{9}-\frac{4}{5}x=\frac{2}{9}-\frac{7}{5}x[/tex]

[tex]-\frac{3}{5}x-\frac{4}{5}x=-\frac{7}{5}x[/tex]

[tex]-\frac{3}{5}x-\frac{4}{5}x+\frac{7}{5}x=-\frac{7}{5}x+\frac{7}{5}x[/tex]

[tex]0=0[/tex]

matched coefficients of x and y, therefore found the answer.

Answer:

Johnny ‎football ‎balcony ‎176t +

Step-by-step explanation:

Hi there!

We are given a point that the line passes through and the slope of the line, so we can use Point-Slope Form:

[tex]\mathrm{y-y1=m(x-x1)}[/tex]

In this case, y₁=7, m=9, and x₁=2.

Plug in the values:

[tex]\mathrm{y-7=9(x-2)}[/tex]

Now, turn it into Slope-Intercept:

[tex]\rm{y-7=9x-18[/tex]

Move -7 to the right:

[tex]\rm{y=9x-18+7}[/tex]

Add:

[tex]\rm{y=9x-11[/tex] (Answer)

Hope it helps!

Enjoy your day/night!

Please feel free to ask if you have any doubts.

-Sparkles-