In AABC, the measure of ZC=90°, the measure of ZA=63°, and AB = 35 feet. Find the
length of CA to the nearest tenth of a foot.
35
63°
C
A
х

Answer:

[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]

Step-by-step explanation:

Given

[tex]p =1[/tex] -- Leading coefficient

[tex]Zeros: 4\ and\ 3 - i[/tex]

Required

Determine the polynomial

Represent the zeros with a and b

Such that

[tex]a = 4[/tex]

[tex]b = 3 - i[/tex]

The polynomial is:

[tex]P(x) = p * (x - a) * (x - b)[/tex]

[tex]P(x) = 1 * (x - 4) * (x - (3 - i))[/tex]

However, to solve further: We need to symmetrise over 3-i  and its conjugate

[tex]P(x) = 1 * (x - 4) * (x - (3 - i))* (x - (3 + i))[/tex]

[tex]P(x) = (x - 4) * (x - (3 - i))* (x - (3 + i))\\\\[/tex]

To define a suitable function, the expression becomes

[tex]P(x) = (x - 4) * ((x - 3)^2+1)[/tex]

[tex]P(x) = (x - 4) * ((x - 3)(x - 3)+1)[/tex]

[tex]P(x) = (x - 4) * (x^2 - 6x + 9+1)[/tex]

[tex]P(x) = (x - 4) * (x^2 - 6x +10)[/tex]

Open bracket

[tex]P(x) = x^3 - 6x^2 +10x - 4x^2 + 24x-40[/tex]

[tex]P(x) = x^3 - 6x^2 - 4x^2+10x + 24x-40[/tex]

[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]

Answer:

Add 10 from both sides:

2d = 18

divide by 2

D = 9

Answer:

8 1/2 inches

Step-by-step explanation:

we add the fractions of growth over the 3 weeks

2 1/2 + 23/4 + 3 1/4 = 8 1/2

Answer:

Sorry I don't know this language

Answer:x = 8.5

Step-by-step explanation:

1. Combine like terms

62+75+9 = 146

2.Set up equation

146+4x = 180

3. Subtract 146 to each side

146-146 + 4x = 180-146 = 34

4. Divide by 4

4x/4 = 34/4

X= 8.5

Answer:

Mr. Linx wages = x = $15

Mrs. Lynn wages = y = $17.50

Step-by-step explanation:

Mr. Linx wages = x

Mrs. Lynn wages = y

x + y = 32.50 (1)

35x + 37y = 1,172.50 (2)

From (1)

x = 32.50 - y

Substitute x = 32.50 - y into (2)

35x + 37y = 1,172.50

35(32.50 - y) + 37y = 1172.50

1137.5 - 35y + 37y = 1172.50

- 35y + 37y = 1172.50 - 1137.50

2y = 35

y = 35/2

y = 17.50

Substitute y = 17.50 into (1)

x + y = 32.50

x + 17.50 = 32.50

x = 32.50 - 17.50

x = 15

Mr. Linx wages = x = $15

Mrs. Lynn wages = y = $17.50

Answer:

7.692

Step-by-step explanation:

have a nice day :D

Answer: 1/3 or .33

Step-by-step explanation:

If we have 12 jelly beans and there is 8 grape jelly beans and 4 other jelly beans that arent 8 you add the numbers and get a denominator of 12 then you add the number of jellybeans you are focusing on which equals 4/12 then we simplify 4/12 into 2/6 then 1/3 and then we have 1/3! Hope this helps have a great day!

Answer:

not sure

Step-by-step explanation:

Answer:

31=x

96=z

Y=31

Step-by-step explanation:

X x Z=

N/180

16.53

Im not sure because the ff isnt complete

Answer:

2/7

Step-by-step explanation:

Since the denominators are the same, we need to add the numerators and place it over the common denominator

-4+6 = 2

so

-4/7 + 6/7 = 2/7

2/7

Answer:

B

Step-by-step explanation:

Answer:

Hope this helps! If I could have brainliest I'm trying to rank up :)

Step-by-step explanation:

1.x = 37.08 feet

Using the Pythagorean Theorem:

x^2 + 15^2 = 40^2

x^2 + 225 = 1600

x^2 = 1600 - 225

x^2 = 1375

x = SQRT(1375)

x = 5SQRT(55)

x = 37.08 feet

2.Using pathagorean it’s 16^2 + 24^2 = c^2

256 + 576 = 832

The answer is the sqrrt of 832

Which is 8sqrrt13 or 28.44  

Answer:

84

Step-by-step explanation:

12 x 7 = 84

Answer:

84

Step-by-step explanation:

12÷ 1/7=84

Answer:

6.4 inches

Step-by-step explanation:

Area= (a+b)/2 x h

64 in^2= (8+12)/2 x h

= 20/2 x h

= 10 x h

64 in^2 / 10 = height of 6.4 inches

Answer:

None of these could be a 60-30 right triangle

Step-by-step explanation:

A)  is a 45-45 right triangle and the hypotenuse is too short

                        a² + b² = c²         2² + 2² ≠ 3²

B)  13 is way too long

C)  32 too long    3² + 3² ≠ 32²    

D) really 613 no way

Answer:

9:14

Step-by-step explanation:

18:(18+4+6)

18:28

(18÷2);(28÷2)

9:14

Answer: 72 ft

Step-by-step explanation:

Given

The width of a post is [tex]w=6\ in.[/tex]

Posts are separated by [tex]5\ ft[/tex] chain

for 2 posts, length is [tex]6+5+6=17\ ft[/tex]

for 3 posts, length is [tex]6+5+6+5+6=28\ ft[/tex]

for 4 posts, it is [tex]28+5+6=39[/tex]

i.e. 11 ft is adding on the addition of another post

for 7 posts it is [tex]17+11\times 5=72\ ft[/tex]

Thus, the total length of the fence is [tex]72\ ft[/tex]

Answer:

24/25

Step-by-step explanation:

Hello There

[tex]cos = \frac{adjacent}{hypotenuse} [/tex]

The adjacent of M is 24 and the hypotenuse is 25 so

[tex]cosm = \frac{24}{25} [/tex]

Answer:

cos M= base/hypotenuse=KM/LM=24/25

Answer:

They have the same y-intercept of -6.

Answer:

I think it is C) 480

Step-by-step explanation:

320÷2=160

160×3=480

Can I please have Brainliest?

There are 480 calories are in the 3-ounce size of the bar.

Multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Green Frog convenience store supplies two types of protein bars.

And, One protein bar has 320 calories in the 2-ounce size.

Now,

For 1 ounce size, calories in One protein bar = 320 / 2

                                                                  = 160

Hence, We get;

For 3 ounce size, calories in One protein bar = 160 x 3

                                                                      = 480

Thus, There are 480 calories are in the 3-ounce size of the bar.

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ3

Answer:

6.5%

Step-by-step explanation:

1000 in a box and he orders 5 boxes.

1000x5= 5000

So he orders 5000 paper clips

1 box is £15.40 and he order 5, so £15.40x5= £77

£77 is between £55 and £79.99 so he will get 6.5% discount.

After the discount he will pay  £71.99

Answer:

1240

Step-by-step explanation:

Number of boys to a girl is

x:y= 11:9

9x= 11y

There are 124 more boys in the schooll than girls

x= 124+y

Substitute 124+y for x

9(124+y)= 11y

1116+9y= 11y

1116= 11y-9y

1116= 2y

y= 1116/2

y= 558

Number of girls is 558

The number of boys can be calculated as follows

= 558+124

= 682

Hence the total number of students is

= 682+558

= 1240

Answer:

the Value of (k)=?

k value of 11 ans

Answer:

78 dollars

Step-by-step explanation:

Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the value of c(7).

Given:

c(n) = 50 + 4n

Where,

c = monthly cost of visiting a gym

n = number of visits

Find the value of c(7)

That is, when n = 7

c(n) = 50 + 4n

c(7) = 50 + 4(7)

= 50 + 28

= 78

c(7) = 78 dollars

Answer:

I think it would be 1/3 as 20+40=60 and 20 is 1/3 of what

Answer:

20\40= 0.5 is 1\2

Answer:

1,4.560

Step-by-step explanation:

I am not so sure.