Subtract and write your answer as mixed number. 5 3/4 - 1 2/3

The ladder and the wall it leans on are illustrations of right triangle

The horizontal distance from the base of the ladder is 5.41 feet

The given parameters are:

Length (L) = 26 feet

Angle of elevation (θ) = 78 degrees

The horizontal distance (D) is calculated using the following cosine ratio

cos(θ) = D/L

Substitute known values

cos(78) = D/26

Make D the subject

D = 26 * cos(78)

Multiply

D = 5.41

Hence, the horizontal distance from the base of the ladder is 5.41 feet

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Answer:

5.41 Feet

Step-by-step explanation:

Answer:

$13

Step-by-step explanation:

89 = 11 +6x

78 = 6x

x = 13

Answer:

13 dollars

Step-by-step explanation:

89-11=78

78/6=13

Using a system of equations, it is found that the numbers are 5 and -7.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, we say that the numbers are x and y.

They multiply to -35, hence:

xy = -35.

They add to -2, hence:

x + y = -2 -> y = -2 - x

Replacing on the first equation:

x(-2 - x) = -35

-x² - 2x + 35 = 0

x² + 2x - 35 = 0

(x + 7)(x - 5) = 0

x = -7 -> y = 5

x = 5 -> y = -7

Hence the numbers are 5 and -7.

More can be learned about a system of equations at https://brainly.com/question/24342899

Answer:

Step-by-step explanation:

-15-9+(-7)

answer: A, -31.

hope this helps! mark me  brainliest as well please.

Answer:

-31

Step-by-step explanation:

you can subtract -15 and -9 which equals -24. After that, you can just subtract it by 7 . because +(-)= - so -15-9-7= -31

$54.4

hope it really helps...!!!

Answer:

x = 8 - sqrt(y + 25)

Step-by-step explanation:

Step-by-step explanation:

comparing given equation with ax^2+bx+c;

a=1   b=-16   c=39

now,

x coordinate of vertex = -b/2a

                                      = 16/2*1

                                     = 8

again,

y coordinate of vertex = (8)^2-16(8)+39

                                       =-25

Therefore, the turning point is (8,-25).

Answer:

(0,4).

Step-by-step explanation:

The point (0, 4) is on the y axis ( as x = 0) so the answer is (0,4).

Answer:

AD║BC

DE≅CE

AC≅DBΔ

ΔAED≅ΔBEC

Step-by-step explanation:

NOTHING ELSE

≅

║

Δ

have a good day!

Answer:

32 x 2
---------- = 16
.....4


To start off we can do 32 x 2.
32 x 2 = 64


Next, we divide 64 by 4 to equal the fraction 32 x 2 / 4.
64 divided by 4 = 16


In conclusion the fraction 32 x 2 / 4 is equal to 16.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer: hii

Step-by-step explanation:

Answer:

im sorry theirs not eghou imformation

Step-by-step explanation:

Answer:

C. 4x = 52

Step-by-step explanation:

If each person spent $x,

then the total amount spent will be 4x

we already know that the total amount spent is 52

so, 4x = 52

Answer:

4x=52

Step-by-step explanation:

[tex]let \: the \: price \: for \: each \: ticket \: be = x \\ since \: four \: persons \: bought \: the \: ticket \: \\ 4x = 52 \\ the \: equation \: for \: each \: ticket \: will \: be \: \\ 4x = 52[/tex]

Answer:

Step-by-step explanation:

starting from the upper right corner and going counterclockwise.

upper right: I

upper left: II

bottom left: III

bottom right: IV

Answer:

432

Step-by-step explanation:

you convert the pounds to ounces by multiplying the mass value by 16

Answer:

3:22

Step-by-step explanation:

Answer:

I got the answer as h=8.184cm

Answer:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

the question asks us to rationalise the given term ! thus , we'll just have to remove the √3 from th denominator anyhow !

let's start ~

[tex] \frac{2 \sqrt{5} }{7 - \sqrt{3} } \\ \\ \implies \: \frac{2 \sqrt{5} }{7 - \sqrt{3} } \: \times \: \frac{7 + \sqrt{3} }{7 + \sqrt{3} } = \frac{14 \sqrt{5} + 2 \sqrt{15} }{(7) {}^{2} - ( \sqrt{3) {}^{2} } } \\ \\ \implies \frac{14 \sqrt{5} + 2 \sqrt{15} }{49 - 3} \\ \\ \implies \frac{14 \sqrt{5} + 2 \sqrt{15} }{46} \\ \\ \implies \: \frac{\cancel{2}(7 \sqrt{5{} } \: + \sqrt{15} )}{\cancel{46} } \\ \\\bold\red{ \implies \: \frac{7 \sqrt{5} + \sqrt{15} }{23}}[/tex]

hope helpful :D

Answer:

Right Triangles

Step-by-step explanation:

This is because in a right angled triangle, there is one angle that is equal to 90 degrees, and 2 that are 45 degrees each.

These 45 degree corners make up the corners of the square (45+45 = 90 = right angle = corner of square)

Hope this makes sense.

Answer:

244 miles (nearest whole number)

Step-by-step explanation:

This scenario can be modeled as a geometric series.

From the information given:

The formula for the sum of the first n terms of a geometric series is:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

Therefore, the sum of the first 19 terms is:

[tex]\implies S_{19}=\dfrac{8(1-1.05^{19})}{1-1.05}[/tex]

[tex]\implies S_{19}=244.3120313...[/tex]

244 miles (to the nearest whole number)

So

It's a GP

we need Sum

[tex]\\ \rm\Rrightarrow S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

[tex]\\ \rm\Rrightarrow S_{19}=\dfrac{8(1-1.05^{19})}{1-1.05}[/tex]

[tex]\\ \rm\Rrightarrow S_{19}=\dfrac{−12.21560156300510578244137725830078125}{-0.05}[/tex]

[tex]\\ \rm\Rrightarrow S_{19}=244.312\approx 244mi[/tex]

Answer:

Solution for 9y+4-6y= equation: Simplifying 9y + 4 + -6y = 0 Reorder the terms: 4 + 9y + -6y = 0 Combine like terms: 9y + -6y = 3y 4 + 3y = 0 Solving 4 + 3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right.

Step-by-step explanation:

Answer:

Its 280 so c

Hope this helps<3

Step-by-step explanation:

Answer:

i think since p(x) = p(3)

Step-by-step explanation:

then p(3) = 3

where you see x add 3

so 1/2(x-5)^2 + 14

1/2(3-5)^2 + 14

1/2(-2)^2 + 14

1/2 x 4 + 14

cancel out 4 by 2 ( divide)

you get 2 + 14

16.

p(x) = 16.

Hope this helps .

1. -33.963333

2. 28

but i'm not sure

The binomial factor of the equation [tex]\rm 9x^2 -64[/tex] is 3x-8.

The algebraic expression which contains only two terms is called binomial. It is a two-term polynomial. Also, it is called a sum or difference between two or more monomials.

Factoring binomials means breaking down a binomial expression into its simplest form.

Binomials are algebraic expressions with two terms.

The given binomial is;

[tex]\rm 9x^2 -64[/tex]

The binomial is determined in the following steps given below.

[tex]\rm =9x^2 -64\\\\= (3)^2x^2-8^2\\\\= (3x)^2-8^2\\\\= (3x-8)(3x+8)[/tex]

Hence, the binomial factor of the equation [tex]\rm 9x^2 -64[/tex] is 3x-8.

To know more about the Binomial factor click the link given below.

https://brainly.com/question/1493247

Answer:80%

Step-by-step explanation:8/10×100

Answer:

8

Step-by-step explanation:

[tex]=\frac{1}{2}(a+b)-(a-b)\times2\\\\= \frac{1}{2}(18+14)-(18-14)\times2\\\\= \frac{1}{2}(32)-(4)\times2\\\\=16-8=8[/tex]